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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-5085-2026</article-id><title-group><article-title>Drivers and implications of declining fossil fuel  CO<sub>2</sub> concentrations in Chinese cities revealed by radiocarbon measurements</article-title><alt-title>Drivers and implications of declining fossil fuel CO<sub>2</sub> concentrations in Chinese cities</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Pingyang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8106-4940</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Lin</surname><given-names>Boji</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Cheng</surname><given-names>Zhineng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Jing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Jun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3637-1642</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Chen</surname><given-names>Duohong</given-names></name>
          <email>chenduohong@139.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zhang</surname><given-names>Tao</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0861-6822</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Lin</surname><given-names>Run</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhu</surname><given-names>Sanyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Liu</surname><given-names>Jun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lin</surname><given-names>Yujun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhao</surname><given-names>Shizhen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhong</surname><given-names>Guangcai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Niu</surname><given-names>Zhenchuan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5566-6761</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Ding</surname><given-names>Ping</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Zhang</surname><given-names>Gan</given-names></name>
          <email>zhanggan@gig.ac.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Advanced Environmental Technology, Guangzhou Institute of Geochemistry,   Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Guangdong Key Laboratory of Environmental Protection and Resources Utilization, and Joint Laboratory of the Guangdong-Hong Kong-Macao Greater Bay Area for the Environment, Guangzhou Institute of Geochemistry, Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Environmental Key Laboratory of Regional Air Quality Monitoring, Ministry of Ecology and Environment, Guangdong Ecological and Environmental Monitoring Center, Guangzhou 510308, People's Republic of China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>State Key Laboratory of Loess, Institute of Earth Environment, Chinese Academy of Sciences,  Xi'an 710061, People's Republic of China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institute of Global Environmental Change, Xi'an Jiaotong University,  Xi'an 710061, People's Republic of China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>State Key Laboratory of Deep Earth Processes and Resources, Guangzhou Institute of Geochemistry,  Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Duohong Chen (chenduohong@139.com) and Gan Zhang (zhanggan@gig.ac.cn)</corresp></author-notes><pub-date><day>16</day><month>April</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>7</issue>
      <fpage>5085</fpage><lpage>5122</lpage>
      <history>
        <date date-type="received"><day>23</day><month>April</month><year>2025</year></date>
           <date date-type="rev-request"><day>25</day><month>June</month><year>2025</year></date>
           <date date-type="rev-recd"><day>9</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>9</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Pingyang Li et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026.html">This article is available from https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e290">China's clean air policies have successfully mitigated fossil fuel <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) emissions in bottom-up inventories since 2013. Yet, evidence from top-down measurements and their underlying drivers remains limited. Here, we quantify <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and fuel-specific contributions using atmospheric <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) measurements across representative Chinese cities. We found regional differences in <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and co-emission characteristics: megacities like Guangzhou show an indicative inter-period decrease in wintertime <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, of roughly 56 %–64 % lower in 2022 than in 2010 in afternoon-equivalent terms, while smaller cities have yet to demonstrate comparable decreases. These changes are consistent with a 23 % reduction in coal use, a 17 % increase in the natural-gas contribution (evidenced by stable isotope analysis), and improved combustion efficiency (indicated by a 63 % decline in <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios). Notably, the 24 years observational record (1998–2022) shows steeper declines in urban <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios than inventory estimates, suggesting current emission inventories may underestimate combustion efficiency improvements and CO emission reductions relative to <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mitigations. These findings are consistent with progress toward mitigating <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and co-emitted CO in major Chinese cities. They also underscore how coal-to-gas transitions and technological upgrades simultaneously advance air quality and climate goals. Importantly, our results highlight the critical need to integrate top-down observational frameworks (e.g. radiocarbon measurements) with traditional inventories to better capture rapid, policy-driven emission changes and inform future co-benefit optimization strategies.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42330715</award-id>
<award-id>42103082</award-id>
<award-id>42030715</award-id>
<award-id>42177241</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Guangdong Provincial Applied Science and Technology Research and Development Program</funding-source>
<award-id>2022A1515011271</award-id>
<award-id>2022A1515011851</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Alliance of International Science Organizations</funding-source>
<award-id>ANSO-CR-KP-2021-05</award-id>
</award-group>
<award-group id="gs4">
<funding-source>China Postdoctoral Science Foundation</funding-source>
<award-id>2022T150652</award-id>
</award-group>
<award-group id="gs5">
<funding-source/>
<award-id>2021SZJJ-3</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e488">As the world's largest energy consumer, China's heavy reliance on fossil fuels has resulted in severe air pollution and substantial fossil fuel <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) emissions, accounting for 31 % of global fossil <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in 2022 (Friedlingstein et al., 2023a).  These emissions pose critical threats to public health and ecological stability. In response, China has enacted progressive policies including the 2013 Clean Air Action Plan (Zheng et al., 2018; Zhang et al., 2019), 2018 Blue Sky Defense Battle, and 2022 Pollution-Carbon Synergy Plan, achieving co-benefits in air quality improvement and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mitigation as quantified through bottom-up inventories like Multi-resolution Emission Inventory for China (MEIC) (Shi et al., 2022). However, the effectiveness of these policies in reducing atmospheric <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, and the underlying drivers of these reductions, remains unverified and unexplored through top-down observational approaches, creating a critical knowledge gap in climate policy assessment.</p>
      <p id="d2e561">Bottom-up inventories and top-down measurements are approaches commonly used to determine atmospheric <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, but each has inherent limitations that can affect accuracy and reliability. Although bottom-up inventories are available at increasingly higher spatiotemporal resolution (Han et al., 2020), they are time-consuming to compile and update promptly, often lack quantitative estimation of uncertainty (Crippa et al., 2019), and frequently debated in attributing emissions to specific sources (Gurney et al., 2021). In contrast, top-down studies encompass all existing sources within a geographic region but struggle to achieve accurate partitioning of the fossil fuel and biospheric <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions. This methodological impasse can be resolved by <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analysis, which exploits the unique <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-depletion signature of <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> compared to contemporary biogenic sources (Levin et al., 2003; Turnbull et al., 2006), enabling unambiguous fossil fuel emission quantification.</p>
      <p id="d2e621">Urban areas, occupying merely 3 % of global land yet responsible for 75 % of global <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions (reaching 80 % in China) (Dhakal, 2009; Duren and Miller, 2012), represent strategic priorities for emission mitigation. Recent advances in analytical tools can help identify key drivers of urban <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reductions. <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures successfully distinguished coal, oil, and natural gas contributions in cities like Beijing and Xi'an (Wang et al., 2022b), while <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> denotes the difference between observed and background values; <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mtext>bg</mml:mtext></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) ratios tracked combustion efficiency variations across national (China, South Korea) and urban (Paris, Heidelberg) scales (Turnbull et al., 2011; Lee et al., 2020; Lopez et al., 2013; Rosendahl, 2022). To address the research gaps mentioned above, we performed spatiotemporal mapping of 2022 <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations across representative Chinese cities using dual-carbon isotope constraints (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) for fuel-specific source attribution. By integrating multi-source inventories with extended <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observations through 2022, we developed a robust framework for top-down verification of policy-driven emission reductions. Our methodology not only quantifies <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration decreases but also identifies the key mechanisms behind these reductions, offering critical insights for refining climate mitigation strategies and supporting sustainable urban development.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area and sample collection</title>
      <p id="d2e820">We selected representative Chinese cities of varied population sizes for this study: Guangzhou, Shenzhen, and Beijing for megacities (urban permanent resident <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mtext>populations</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> million), Xi'an for supercities (5–10 million), Zhanjiang for large cities (1–5 million), and Shaoguan for medium and small cities (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> million), which is retrieved from the Tabulation on 2020 China Population Census by Office of the Leading Group of the State Council for the Seventh National Population Census, 2022).  Since we could obtain results in Beijing and Xi'an from previous studies, we conducted field sampling in the four cities in Guangdong Province, China (Fig. 1). Guangdong Province is located south of the Nanling Mountains and on the coast of the South China Sea, lying within subtropical and tropical low-latitude regions. The area experiences a prevailing southeast monsoon from the ocean during summer and a northeast monsoon from the continent during winter. The four cities in Guangdong Province differ in terms of area, population, gross domestic product (GDP), <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventory emissions, population density, topographic elevation, and land use/land cover. Guangzhou and Shenzhen represent two of China's seven megacities – approximately 45 exist globally – within the Pearl River Delta (PRD), the world's largest urban agglomeration (Taubenböck et al., 2019). Guangzhou, the capital of Guangdong Province, has a population of 18.7 million, GDP of 2884 billion Yuan, and built-up area covering 35.2 %. Shenzhen, a high-tech hub transformed by post-1978 reforms, hosts 17.7 million people with GDP reaching 3239 billion Yuan and 53.8 % built-up coverage. In contrast, Zhanjiang (large city) and Shaoguan (medium and small city) have smaller populations – 7.0 million and 2.9 million respectively – and lower GDPs of 371.3 billion Yuan and 156.4 billion Yuan. Zhanjiang features extensive cultivated land (31.7 %) and coastal ports (Zhanjiang Municipal Bureau of Statistics, 2025), while Shaoguan is distinguished by 74.5 % forest coverage (Shaoguan Municipal Bureau of Statistics, 2024).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e858">Locations of sampling sites and spatial distribution of <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations during summer (s) and winter (w) in (<bold>c, d</bold>, GD) Guangdong Province and the cities of (<bold>e, f</bold>, GZ) Guangzhou, (<bold>g, h</bold>, SZ) Shenzhen, (<bold>i, j</bold>, ZJ) Zhanjiang, and (<bold>k, l</bold>, SG) Shaoguan. White-filled symbols denote Beijing (<inline-formula><mml:math id="M41" display="inline"><mml:mo lspace="0mm">▴</mml:mo></mml:math></inline-formula>), Xi'an (<inline-formula><mml:math id="M42" display="inline"><mml:mo lspace="0mm">⧫</mml:mo></mml:math></inline-formula>), and Waliguan (<inline-formula><mml:math id="M43" display="inline"><mml:mo lspace="0mm">⋆</mml:mo></mml:math></inline-formula>) in <bold>(a)</bold>; Nanling (<inline-formula><mml:math id="M44" display="inline"><mml:mo lspace="0mm">•</mml:mo></mml:math></inline-formula>) in <bold>(b)</bold>; Shenzhen Airport (<inline-formula><mml:math id="M45" display="inline"><mml:mo lspace="0mm">▸</mml:mo></mml:math></inline-formula>) in <bold>(g)</bold>; and Zhanjiang Port (<inline-formula><mml:math id="M46" display="inline"><mml:mo lspace="0mm">▪</mml:mo></mml:math></inline-formula>) in <bold>(j)</bold>. Shenzhen's industrial land use (<uri>https://download.geofabrik.de/asia/china.html</uri>, last access: 11 November 2025) is shown as red in <bold>(g)</bold>, with the spatial distribution of all industrial enterprises and <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emitting facilities documented in Li et al. (2025a). Colored circles in <bold>(c)</bold>–<bold>(l)</bold> represent the observations, while the shading indicates the <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventory emissions from the Open-source Data Inventory for Anthropogenic <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ODIAC) (Oda and Maksyutov, 2024) in August and December with <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> grid spacing.  White lines indicate boundaries of cities in Guangdong Province <bold>(c, d)</bold>, and boundaries of districts in the four cities <bold>(e–l)</bold>. In <bold>(c)</bold>, <bold>(d)</bold>, bold white lines indicate boundaries of nine cities of the Pearl River Delta. The left color bar represents the <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventory emissions, while the right color bar represents the <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observations.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f01.png"/>

        </fig>

      <p id="d2e1051">We collected 240 air samples from 30 sites during summer (28 July–30 August 2022) and winter (12 December 2022–6 January 2023) campaigns, with weekly sampling in both periods. Because atmospheric transport variability can influence observed <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> signals, we evaluated the meteorological representativeness of the sampling months using ERA5 diagnostics and trajectory analyses. Specifically, we assessed whether the August and December 2022 flask measurements were representative of typical summer and winter transport conditions. Standardized anomalies (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>target</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>season</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>season</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were calculated for five ERA5 meteorological variables: 10 m eastward wind (U10), 10 m northward wind (V10), 2 m air temperature (T2M), surface pressure (SP), and planetary boundary-layer height (PBLH). Each target month was compared against (i) the concurrent 2022 seasonal background (June–July–August, JJA; December–January–February, DJF) and (ii) the 2010–2021 seasonal climatology. The choice of 2010 as the starting year ensures consistency with the earlier dataset from 2010, which is directly compared in this study. A month was considered “typical” when <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>z</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and its dominant wind direction fell within the canonical summer (90–225°) or winter (0–45°) monsoon sectors.</p>
      <p id="d2e1115">The locations and details of these sampling sites are shown in Fig. 1 and summarized in Table A1. Ten sampling sites were located in Guangzhou (GZ1–GZ10), ranging from urban downtown to suburban areas, selected based on spatial gradients of <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions derived from the Open-source Data Inventory for Anthropogenic <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ODIAC) (Oda and Maksyutov, 2011; Oda and Maksyutov, 2024). Another 10 sampling sites were distributed uniformly throughout Shenzhen (SZ1–SZ10). In Zhanjiang (ZJ1–ZJ5) and Shaoguan (SG1–SG5), five sampling sites were selected in each city, primarily in urban areas, and distributed according to the first and second most dominant wind directions. These sites are located on the tower or on the roof of the building with 10–12 m extendable masts and are chosen to be free from any modifying effects of surrounding skyscrapers. Most of our sampling sites are generally no more than 300 m from the nearest air quality monitoring station. The sampling height is usually kept above 30 m above the ground level to avoid the influence of local sources. We assume that the measurements at the sampling sites in Guangzhou and Shenzhen are statistically sufficient to assess the whole cities, while those in Zhanjiang and Shaoguan are sufficient to assess the urban areas. Air sampling occurred between 13:00 and 17:00 LT (local time), coinciding with the deepest planetary boundary layer and well-mixed atmospheric conditions. Post-filtration samples were transferred into pre-evacuated/flushed 3 L borosilicate flasks using 12 V micro-diaphragm pumps. These delivered a flow rate of 6 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 25 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and 101.3 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>, with pressurization to 172.4–206.8 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>. The duration of the sampling was approximately 15–20 min in total.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Measurement of atmospheric <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e1222">Whole-air samples were dried using magnesium perchlorate at a constant flow rate of 25 m<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, controlled by a mass flow controller. The <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values were then measured using a Picarro G2201-i high-precision carbon isotope analyzer (Picarro, Inc., Santa Clara, CA, USA) with cavity ring-down spectroscopy. Each sample was measured for 10 min, and only data from the final 5 min were used to calculate the average <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value. Calibration for the <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and the <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values was performed using the method described by Wen et al.  (2013) with three standards: (a) <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">409.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; similar hereafter), <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.717</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.013</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>; (b) <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">447.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.759</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>; and (c) <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">503.65</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.456</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.004</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, obtained from the Chinese Academy of Meteorological Sciences. The <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations of the standards are traceable to the X2019 standard scale maintained by the Central Calibration Laboratory of the World Meteorological Organization, and the <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values are traceable to the stable isotope laboratory of the Institute of Arctic and Alpine Research based on the NBS-19 and NBS-20 standards. The <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values were reported relative to the international Vienna Pee Dee Belemnite standard (Coplen, 1996). The precision was better than 0.2 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and 0.1 ‰ for <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Measurement of atmospheric <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e1622">The residual air samples were transferred into a vacuum system at a flow rate of 300 m<inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. It was then first passed through a cold trap consisting of dry ice and ethanol slurry to freeze out water, followed by passage through a liquid nitrogen cold trap (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">196</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) to freeze down the <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Xu et al., 2007). The extracted and purified <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was converted into graphite using the hydrogen reduction method. The graphite was then pressed into an aluminum holder for <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurements using an NEC 0.5MV 1.5SDH-2 accelerator mass spectrometer (AMS, National Electrostatics Corporation, USA) (Zhu et al., 2015). Each measurement wheel typically comprises 13 primary standards (oxalic acid II), 13 sary standards (IAEA-C7), 13 solid process blanks (<inline-formula><mml:math id="M90" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-phthalic acid), 6 gas process blanks (<inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-free <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in synthetic air from a cylinder), and some authentic air samples. The results are presented as <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which is the per mill (‰) deviation from the absolute radiocarbon reference standard, corrected by fractionation and decay Stuiver and Polach, 1977). We analyzed 17 pairs of parallel air samples to evaluate the quality control and assurance of the entire sampling and laboratory analysis process, including sampling, extraction, graphitization, and AMS measurement. The AMS measurement uncertainty and the average deviation are <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, respectively (see Fig. A1). We thus specify a one-sigma measurement uncertainty of 2.9 ‰ for <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> based on these repeat measurements of air samples.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration estimation (incorporated biomass burning emissions)</title>
      <p id="d2e1819">Recently added atmospheric <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is thought to consist of background <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bg</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bg</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and excess <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">xs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> mainly includes <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and biogenic <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bio</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The corresponding <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values are expressed as <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, zero <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content), and <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. The mass balance equations for atmospheric <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are expressed as follows (Levin et al., 2003):

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M121" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bg</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">xs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bg</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bg</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="aligned" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bio</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          The added <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> component is determined using Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>). The <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from other sources, such as air–sea exchange (see Appendix C1) and nuclear facilities (see Appendix C2), have been neglected owing to their relatively small amounts. The second term (<inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>) represents a disequilibrium correction for the effect of <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources from biospheric exchange with distinct <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures relative to atmospheric values, primarily attributed to heterotrophic respiration (Rh) and biomass burning (BB). We quantified <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> using integrated modeling frameworks (see Appendixes B and C3). The heterotrophic respiration correction (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was derived from FLEXPART simulations (Pisso et al., 2019) with CASA-GFED4s data (Randerson et al., 2017; Van Der Werf et al., 2017), yielding values of <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in summer and <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in winter. The biomass burning corrections (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated under two assumptions: (1) <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> endmembers assume 100 % perennial biomass, and (2) <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> emissions represent 100 % of <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in EDGAR2024 (covering open and closed combustion) (EDGAR, 2024). <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> showed maximum values of <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> during summer and <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> during winter. The combined correction (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under the maximum-assumption simulation was <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in summer and <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in winter, which contrasts with the seasonal pattern in Turnbull et al.  (2009): <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> during summer and <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> during winter. This study is the first to explicitly account for BB emissions within a <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimation framework, allowing us to quantify their contribution and associated uncertainty relative to Rh under our assumptions. To maintain methodological consistency and comparability with previous work, the final <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values reported here adopt the correction estimate from Turnbull et al.  (2009), which does not explicitly include BB. Nevertheless, our simulations, which incorporate BB emissions and their uncertainties, indicate that the magnitude of the required corrections (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) is broadly consistent with Turnbull et al. (2009), and that our main conclusions are robust across this range of potential corrections.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> footprint by FLEXPART model</title>
      <p id="d2e2898">Surface flux sensitivity simulations for <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were performed using the FLEXible PARTicle (FLEXPART) dispersion model (version 10.4) (Pisso et al., 2019). In this study, FLEXPART is used to characterize source–receptor sensitivities (“footprints”) to support qualitative interpretation of the sampled upwind regions and potential source influences; it is not used to meteorologically normalize the long-term trends in <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The model produced source–receptor relationships, often referred to as “footprints” for atmospheric surface measurements, which represent the response of the observations at a measuring station to a source emission. The footprints are calculated using global meteorological fields from the National Centers for Environmental Prediction's Climate Forecast System (CFSv2) Reanalysis model (Saha et al., 2011). They are computed by releasing 10 000 virtual particles from each receptor at each sampling time and tracking them backward for 30 d over the domain of 0°–60° N, 70°–150° E, with resolution of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Fuel-specific fractions of <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by Keeling plot and Bayesian mixing model</title>
      <p id="d2e2961">The method to determine coal, oil, and natural gas (i.e., fossil fuel type) fractions of <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is described briefly using a Keeling plot (Miller and Tans, 2003) and the Bayesian mixing model (MixSIAR) (Stock et al., 2018). We calculated the excess <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (intercepts <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) above the background level based on the best-fit lines in the Keeling plot. To determine the <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the fossil fuel source (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, Eq. <xref ref-type="disp-formula" rid="Ch1.E5"/>), we estimated the weighted averages of the fossil fractions <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>ff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> using a two end-member mixing analysis on <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the biogenic source (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was set to <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, which is the average <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value of the background air plus the <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> discrimination by the terrestrial ecosystem (Bakwin et al., 1998). We then estimated the coal, oil, and natural gas fractions of <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>coal</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>oil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>ng</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, Eqs. <xref ref-type="disp-formula" rid="Ch1.E6"/> and <xref ref-type="disp-formula" rid="Ch1.E7"/>) using a Bayesian tracer mixing model framework implemented as an open-source R package. The model used the <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values as mixing data and the end-member <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures of coal, oil, and natural gas as the source data.</p>
      <p id="d2e3218">We adopted the end-member <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures measured in Beijing: <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>coal</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>oil</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ng</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (Wang et al., 2022a). This selection was based on three considerations: First, coal <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures exhibit remarkable regional stability in China (Wang et al., 2022a). Second, oil signatures from the Pearl River Mouth Basin of <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (Cheng et al., 2013) show close agreement with Beijing values of <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>. Third, measured natural gas signatures like <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in Beijing and <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in Xi'an are significantly enriched compared to literature averages (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in Beijing and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">38.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in Pearl River Mouth Basin) (Ping et al., 2018; Quan et al., 2018), as using the lower literature values would lead to underestimation of natural gas contributions.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M181" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bg</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>xs</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>xs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>bio</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>coal</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>coal</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>oil</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>oil</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>ng</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ng</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mn mathvariant="normal">1</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>coal</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>oil</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mtext>ng</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Correlation of <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and CO and derivation of their ratio</title>
      <p id="d2e3674">We calculated Pearson correlation coefficient (<inline-formula><mml:math id="M183" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) between <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and CO enhancement (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mtext>bg</mml:mtext></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>), and observational concentration ratio of <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> CO to <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; similar hereafter)) using linear least squares regression. The <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios were derived from the regression slopes of <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> versus <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. Here, CO and <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> enhancements are defined relative to a regional background site, which is intended to represent upwind regional conditions rather than a completely remote, pristine background. Consequently, the inferred <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and thus the derived <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios, may include contributions from emissions outside the target city. We do not explicitly correct for this potential bias, but we consider it as an additional source of uncertainty when comparing observational <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with city-level <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios from emission inventories.</p>
      <p id="d2e3956">To correct for the contribution of non-fossil <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the observed enhancement (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), the concentration ratio <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was estimated by dividing observed <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> by 0.8 for sites and times without <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> observations. Equivalently, we assume <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> (i.e., 20 % of <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is non-fossil), so that <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">xs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">xs</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> for those subsets. Previous urban <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> studies (Turnbull et al., 2011; Lopez et al., 2013; Newman et al., 2016; Miller et al., 2020) have shown that <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %–30 % (Table E1) of the total <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement above background during daytime/afternoon is typically of non-fossil origin, while CO is emitted almost exclusively from fossil-fuel combustion. Thus, the 20 % correction represents a reasonable first-order approximation for well-mixed afternoon conditions. Our <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>-based source separation (Sect. 3.2) provides city/season-dependent <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> constraints that are broadly consistent with this range.</p>
      <p id="d2e4253">For comparison, the inventory emission ratio of CO to <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) was calculated following Lee et al. (2020) as:

            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M216" display="block"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent the total CO and <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions (<inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), summed over all grid cells within the relevant administrative boundaries from MEIC v1.4, MIX v2, and EDGAR 2024 inventories; and <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> refers to the molar masses of CO and <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in grams per mole (<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussions</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Background selection</title>
      <p id="d2e4523">We conducted atmospheric observations of <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and its carbon isotope composition (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) in Guangzhou, Shenzhen, Zhanjiang, and Shaoguan in Guangdong Province, South China, during the summer and winter of 2022. To attribute <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to a particular region, it is necessary to isolate the component of the observed concentration attributable to fluxes within the region by removing the background (Karion et al., 2021). High-elevation mountains, representing the free troposphere, were considered ideal background locations for use in this study (Turnbull et al., 2009).  Specifically, the Nanling site (NL, 1700 m above sea level (m a.s.l.)), one of the 30 sampling sites of this study (SG5; Table A1), was selected because it serves as the nearest regional background site for the study areas with relatively complex boundary conditions (for more reasons see Appendix D).  The “annual” <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> averages at NL station, calculated as averages of summer and winter measurements, were <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">418.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. These values closely match those observed at Jungfraujoch (JFJ, 3580 m a.s.l.) and appear in the upper-right section of the Keeling plot of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (i.e., scatter plot between <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and inverse of <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions) representing background conditions (Pataki et al., 2003). This positioning becomes evident when comparing with Waliguan (WLG, 3890 m a.s.l.) station data (Fig. 2). The advantage of using the Keeling plot method to screen background data is that it simultaneously accounts for both higher values of <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and lower values of <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Zhou et al., 2024). The <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> averages at NL were the highest among the 30 sampling sites considered in this study, with values of <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in summer and <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in winter (Table A1).</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e4836">Keeling plot of <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements from Guangdong Province in summer (GDs) and winter (GDw), and background stations including JFJ (Jungfraujoch) (Emmenegger et al., 2024a, b), WLG (Waliguan) (Liu et al., 2024; Lan et al., 2024), and NL (Nanling, this study) in 2022. For the JFJ background site, the complete 2022 dataset was used to calculate a true annual mean. For the WLG background site, <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were obtained from the World Data Centre for Greenhouse Gases (WDCGG, <uri>https://gaw.kishou.go.jp/</uri>, last access: 21 April 2024), while <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> observations were obtained from Liu et al. (2024). For the NL background site, <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> observations were obtained from two campaigns in August and December 2022, representing typical summer and winter conditions.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title><inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations</title>
      <p id="d2e4999"><inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in Guangzhou, Shenzhen, Zhanjiang, and Shaoguan were (<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">438.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">435.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">444.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.2</mml:mn></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">431.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (multisite mean and one-sigma standard deviation), respectively; the corresponding <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values were <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">40.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24.1</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.8</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.9</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Relative to the background, <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the four cities were enhanced by (<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.7</mml:mn></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.1</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), respectively; the mean <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was depleted by <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.3</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.3</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.7</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>), respectively, reflecting the marked influence of <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-free <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fossil fuel combustion. The fossil fuel and biogenic fractions of <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, were determined using a two end-member mixing analysis. The <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions were <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">59</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> during winter in Guangzhou, Shenzhen, Zhanjiang, and Shaoguan, respectively. In comparison with other cities worldwide (Table E1 and Fig. E1), we observed higher <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions (<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) in some megacities and supercities compared with large and medium-sized cities. Noting that the <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ratio is critically sensitive to background selection. Regional backgrounds (as implemented here) introduce <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contributions from surrounding rural/agricultural sources to <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, whereas local urban backgrounds effectively isolate urban emissions by filtering out these external biogenic signals, thereby increasing the apparent <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fraction compared to regional background approaches. The consistent adoption of regional background methodologies across all studies in Table E1 ensures the comparative validity of the results, as they share a common framework for accounting for <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> influences from peripheral non-urban sources. The derived annual <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> averages are (<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn></mml:mrow></mml:math></inline-formula>), (<inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.0</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in Guangzhou, Shenzhen, Zhanjiang, and Shaoguan, respectively, based on the mass balance equations of <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. These <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were low to moderate compared with those in other cities globally (Table E2 and Fig. E1), despite the high emissions in Guangzhou and Shenzhen from inventories (Fig. 1).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Spatial distribution and seasonal variations</title>
      <p id="d2e5762">The spatial differences observed in <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> primarily reflect the combined influence of emission intensity and atmospheric transport rather than direct emission magnitudes. We first identified potential source regions that are likely to contribute to the observed <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> variability by analyzing its spatial distribution and seasonal variations. Higher <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels were typically observed at densely populated downtown sites (GZ6 and GZ5; SG3 and SG2) in Guangzhou during summer (GZs) and Shaoguan during winter (SGw), forming an “urban <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> dome” (Fig. 1cj). This was further supported by a positive correlation between the <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements and the corresponding <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> gridded ODIAC (Oda and Maksyutov, 2011; Oda and Maksyutov, 2024) inventory emissions in GZs (<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>), and a significant positive correlation in SGw (<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.91</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>). These correlations are used here as qualitative support and should be interpreted cautiously given uncertainties in the emission inventory (e.g., missing or spatially misallocated sources). The “urban <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> dome” indicates that <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is mainly derived from the localized fossil fuel combustion, which is likely to be influenced by the urban topography. That is, downtown Guangzhou and downtown Shaoguan are surrounded by mountains to the east, north, and west. In contrast, we found that higher <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from western industrial areas and airport (SZ2) in Shenzhen during summer (SZs), and from port areas (ZJ5 <inline-formula><mml:math id="M313" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ZJ2; ZJ2 <inline-formula><mml:math id="M314" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ZJ3 <inline-formula><mml:math id="M315" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ZJ4) in Zhanjiang during winter (ZJw) and summer (ZJs, by atmospheric transport) (Fig. 1e, h and g).</p>
      <p id="d2e5944">Atmospheric transmission of <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from potential source regions was observed at large spatial scales combined with air mass back trajectories by the Hybrid Single-Particle Lagrangian Integrated Trajectory (HYSPLIT) model (Stein et al., 2015) and emission footprints by the FLEXPART dispersion model (Pisso et al., 2019). Shaoguan exhibited higher <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in summer (<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) than in winter (<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">5.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>). Trajectory and footprint analyses suggest that summer observations at Shaoguan were frequently influenced by air masses arriving from the Pearl River Delta (PRD) urban agglomeration (HYSPLIT, Fig. F1a; FLEXPART, Fig. 3g), consistent with a larger upwind contribution under prevailing transport conditions. We note that the inference of “local versus non-local” contributions is conditional on the completeness and spatial allocation of the emission inventories. In contrast, we found higher <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in winter compared with those in summer in Guangzhou (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">17.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">12.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), Shenzhen (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.5</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), and Zhanjiang (<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">12.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">7.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), consistent with the values in 14 other Chinese cities (Zhou et al., 2020). The higher winter concentrations likely reflect a combination of (i) reduced ventilation (e.g., a shallow planetary boundary layer), and (ii) higher wintertime emissions suggested by ODIAC/MEIC (winter emissions 8 %, 10 %, and 11 % [ODIAC] and 17 %, 22 %, and 14 % [MEIC] higher than summer for Guangzhou, Shenzhen, and Zhanjiang, respectively (Oda and Maksyutov, 2024; MEIC, 2023)), noting the associated inventory uncertainties. Within Guangzhou (GZw) and Shenzhen (SZw), wintertime spatial gradients show higher <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at downwind sites (GZ2, GZ6, and GZ10; SZ3 and SZ4) than at upwind sites (GZ1 and GZ3; SZ8 and SZ9), suggesting an important role of transport/accumulation in shaping the observed enhancements. The air mass back trajectories (HYSPLIT, Fig. F1b) and emission footprints (FLEXPART, Fig. 3b and d) showed that the major source region was traced to the Yangtze River Delta (YRD) urban agglomeration in East China, and a portion from North China via long-range transport (Fig. F2e and f). The major source region from the YRD was also reported in a study of CFC-11 in Shenzhen (Chen et al., 2024).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e6193">FLEXPART footprints simulating <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in summer (s) and winter (w) for (<bold>a, b</bold>, GZ) Guangzhou, (<bold>c, d</bold>, SZ) Shenzhen, (<bold>e, f</bold>, ZJ) Zhanjiang, and (<bold>g, h</bold>, SG) Shaoguan at heights from 0–100 m a.s.l. over a period of 30 d. Blue points represent the locations of sampling sites. Black lines indicate the boundaries of continents (left), Chinese provinces (left, bold), and the nine cities of the PRD (right, bold) taken from Natural Earth (<uri>https://www.naturalearthdata.com/</uri>, last access: 9 March 2024).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Historical variations</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Meteorological typicality of sampling months</title>
      <p id="d2e6244">As shown in Fig. G1, all five meteorological variables (10 m eastward wind, U10; 10 m northward wind, V10; 2 m air temperature, T2M; surface pressure, SP; and planetary boundary-layer height, PBLH) at all Guangzhou sites exhibit <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>z</mml:mi><mml:mo>|</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, indicating that both August and December 2022 were meteorologically typical relative to the same-year seasonal background and the 2010–2022 climatological baselines. At GZ7, December 2010 also shows <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>z</mml:mi><mml:mo>|</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> relative to both the DJF 2010 seasonal mean and the 2010–2022 DJF climatology, indicating that the 2010 winter sampling month was likewise meteorologically typical (Fig. G1e–f). August 2022 featured slightly weaker easterly winds and near-climatological boundary-layer heights, while December 2022 was characterized by prevailing northerly flow and typical boundary-layer ventilation. Similarly, all five variables for December 2010 at GZ7 remained within <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> of both the DJF 2010 mean and the 2010–2022 DJF climatology, confirming that the 2010 winter sampling month was not associated with unusual circulation or mixing conditions.</p>
      <p id="d2e6291">Complementary ERA5 wind-rose analyses (Fig. G2) and 72 h HYSPLIT back-trajectory simulations (Fig. F1) confirm that both months followed the canonical East Asian monsoon regimes – maritime inflow during summer and continental outflow during winter. Using GZ7 as an illustrative example representative of central Guangzhou, the ERA5 wind roses show dominant east–east-southeasterly (90–135°) winds in August 2022, typically 3–8 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. In comparison, JJA 2022 and the 2010–2021 JJA climatology peak in the south–south-westerly sector (157.5–225°), representing a within-sector rotation (90–225°) rather than a regime change. ERA5 anomalies of U10, V10, and PBLH remain below <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>, confirming transport typicality. HYSPLIT trajectories indicate that August 2022 air masses primarily originated over the South China Sea, consistent with summer maritime inflow. For December 2022, the ERA5 wind roses display a clear north–north-easterly (0–45°) dominance with 3–8 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> speeds. The DJF 2022 composite and the 2010–2021 DJF climatology show nearly identical northerly continental patterns, typical of the East Asian winter monsoon. HYSPLIT back trajectories confirm that the air parcels predominantly arrived from northern continental China under prevailing northerlies. Similarly, the ERA5 wind roses for December 2010 and DJF 2010 at GZ7 (Fig. G2g–h) show dominant northerly to north-easterly flow, closely matching the DJF climatological wind regime, indicating that the 2010 winter sampling period was also embedded in the canonical East Asian winter monsoon pattern.</p>
      <p id="d2e6338">To directly compare the meteorological environments of the two sampling years, we further analysed ERA5 diagnostics on flask sampling days at GZ7 (Tables G1 and G2). Both December 2010 and December 2022 were dominated by northerly to north-easterly flow, with winds in the 0–45° sector accounting for 61.7 % and 82.7 % of occurrences, respectively (Table G2). However, December 2022 exhibited stronger winds and deeper boundary layers than December 2010 (mean wind speed: 3.6 vs. 2.6 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; mean PBLH: 476 vs. 377 m; mean ventilation: 2024.5 vs. 1258.0 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and these differences are statistically significant (<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> for both Student's <inline-formula><mml:math id="M335" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test and Mann–Whitney <inline-formula><mml:math id="M336" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test; Table G1). These conditions would tend to dilute near-surface enhancements in 2022 relative to 2010, implying that the observed decreases in <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> between the two periods are, if anything, conservative with respect to emission changes.</p>
      <p id="d2e6440">Overall, these diagnostics suggest that the sampling windows in both 2010 and 2022 were not associated with anomalous large-scale transport.  Nevertheless, variability in mixing and transport at sub-monthly scales may still contribute to uncertainty, especially given the limited number of winter flasks in 2022. Accordingly, we treat transport/mixing variability as an uncertainty in the inter-period comparison rather than assuming it to be negligible.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Representativeness of weekly flask samples</title>
      <p id="d2e6451">Each flask represents approximately 15–20 min of integrated air, and about 40 samples were collected per month across ten stations, providing broad spatial and temporal coverage. To evaluate how representative these discrete samples are for the respective seasons, we compared ERA5 diagnostics (PBLH, wind speed, and wind direction) during sampling days with the corresponding monthly means. The results show that meteorological conditions during sampling closely matched monthly climatological averages, confirming that no unusual stagnation or transport anomalies occurred on the sampling days. For the December 2010 flask sampling at GZ7, ERA5 diagnostics and wind roses (Figs. G1e, f and G2g, h) likewise show that sampling-day conditions were consistent with the DJF 2010 seasonal mean and the 2010–2022 DJF climatology, indicating that these earlier samples were also collected under typical winter transport regimes.</p>
      <p id="d2e6454">ERA5 wind roses (Fig. G2) and HYSPLIT 72 h back-trajectories (Fig. F1) further confirm that the flask collection periods coincided with the prevailing summer (90–225°) and winter (0–45°) monsoon sectors. Hence, the samples captured the dominant seasonal transport regimes rather than isolated short-term events. We therefore consider the weekly flask observations to be broadly representative of their seasonal backgrounds in terms of large-scale transport, while noting that the discrete nature of flask sampling (and the small winter 2022 sample size) limits the ability to fully average out synoptic-scale variability.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <label>3.4.3</label><title>Historical variation of <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations</title>
      <p id="d2e6477">To ensure comparability, all available historical datasets (Table H1) were harmonized to identical sites, seasons, and local-time windows, and recalculated using unified background references (Table H2 and Fig. 4a). This harmonization reduces methodological differences (e.g., background choice and sampling-window differences) and facilitates an inter-period comparison of <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions, while transport and mixing variability remains a source of uncertainty. We emphasize that the following comparison addresses observed near-surface <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. Without an atmospheric transport model and inverse modelling, we cannot quantitatively attribute the observed inter-period concentration differences to emission changes.</p>
      <p id="d2e6502">For Guangzhou, a site-specific long-term comparison was conducted at the GZ7 urban station, which was also used by Ding et al. (2013). In their study, <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was derived from flask observations collected around 20:00 LT (post-rush-hour) using a <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> background based on corn-leaf samples from Qinghai, Gansu, and Tibet. Such a background likely represents a different air-mass domain from Guangzhou. In contrast, the present study used atmospheric <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> observations from the NL regional background site, which directly samples the same regional air masses influencing Guangzhou. To harmonize the background reference used in the <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculation between studies, the winter 2010 <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values from Ding et al. (2013) and the winter 2022 values from this work were recalculated using the NL tree-ring <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> record (Li et al., 2025b) as a common reference baseline. The NL tree-ring <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents a growing-season (March–October) integrated proxy and the 2022 value is linearly extrapolated from the 2011–2020 record; it is therefore not intended to represent wintertime background variability and is used here only to provide an internally consistent baseline for inter-study comparison. This adjustment changes <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mn mathvariant="normal">45.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> for 2010, and from <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> for 2022.</p>
      <p id="d2e6707">Because sampling times differ (20:00 vs. 14:00 LT), we quantified the expected diurnal <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contrast using continuous CO observations near GZ7. <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> increased from 168 ppb at 14:00 to 221 ppb at 20:00, corresponding to a 21 % <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> nighttime enhancement (Scheme 1, Appendix H1). A supplementary analysis using the winter 2023–2024 dataset gave a 35 % enhancement (Scheme 2, Appendix H1). These findings suggest that the evening <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> level is typically 21 %–35 % higher than the well-mixed afternoon value due to weaker nocturnal boundary-layer mixing, although a diurnal cycle in emissions may also contribute to this difference. Applying this correction, the 2010 nighttime <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) corresponds to an afternoon-equivalent concentration between <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, which remains substantially higher than the 2022 value of <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6863">In addition to harmonizing background <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and sampling times, we explicitly evaluated the impact of changes in boundary-layer mixing between 2010 and 2022 (Sect. 3.4.1 and Table G1). To assess how much of the inter-period difference could plausibly be explained by changes in boundary-layer mixing, we provide a first-order estimate of the sensitivity of near-surface <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to PBLH variations. Under a well-mixed boundary-layer “box” approximation, the surface enhancement of predominantly surface-emitted tracers scales approximately as <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>∝</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mtext>PBLH</mml:mtext></mml:mrow></mml:math></inline-formula>, implying <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>PBLH</mml:mtext><mml:mo>/</mml:mo><mml:mtext>PBLH</mml:mtext></mml:mrow></mml:math></inline-formula>. Using ERA5 PBLH at the actual flask sampling hours (Fig. G1), the standardized anomaly of PBLH in Dec 2022 at Guangzhou sites is <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula>, corresponding to a relative PBLH increase of 11 % (based on the local winter mean and standard deviation used to define <inline-formula><mml:math id="M368" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>).  If emissions and other factors were unchanged, this would translate into an expected dilution of <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 11 % (i.e., 1–3 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for typical wintertime <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels). This indicates that the modestly higher PBLH in December 2022 would tend to reduce the observed <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, but its magnitude is smaller than the observed inter-period difference (16.2–22.4 <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e7040">Taken together, after harmonizing the <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> background and accounting for sampling-time differences, the observations indicate an indicative inter-period decrease in wintertime <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Guangzhou between 2010 and 2022. Using the CO-based diurnal scaling (21 %–35 % nighttime enhancement), the 2010 value corresponds to an afternoon-equivalent <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 28.7–34.9 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, compared to <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2022 (i.e., 56 %–64 % lower; the range reflects uncertainty in the diurnal scaling). This percentage refers to the observed concentration change and may include a modest contribution from differences in boundary-layer mixing; our first-order PBLH-based scaling suggests that the December 2022 mixing anomaly would affect <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> level (1–3 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Given the limited number of winter flasks in 2022, we performed a leave-one-out sensitivity test (Appendix H), which shows that the inferred 2010–2022 decrease remains negative for all subsets, although the magnitude varies. Accordingly, we interpret the Guangzhou 2010–2022 difference as an indicative inter-period change rather than a robustly quantified long-term trend. FLEXPART footprint analyses for 2010 and 2022 show similar source-sensitivity patterns centered on the Guangzhou urban core, supporting that GZ7 remains representative of Guangzhou's urban influence domain in both periods.</p>
      <p id="d2e7177">Comparable harmonized analyses were performed for other Chinese cities (Tables H1 and H2; Fig. 4a). For Beijing, all measurements originate from the urban rooftop site of the Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences (RCEES). The <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> background used in Zhou et al. (2020) was based on Qixianling Mountain (QXL), whereas Wang et al. (2022b) adopted the Waliguan (WLG) background. All <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were recalculated using WLG as a common reference background with the 2015 value from Niu et al. (2016).  After this correction, the 2014–2016 winter <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value increases slightly from <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, ensuring consistency across datasets. Relative to this harmonized baseline, the subsequent decline to <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by winter 2020 (Wang et al., 2022b) represents an approximate 29 % reduction (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). This trend is consistent with regional fossil-fuel <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission reductions and corroborated by independent <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> tree-ring records showing a peak near 2010 in Beijing (Niu et al., 2024). For Xi'an, at the Institute of Earth Environment, Chinese Academy of Sciences (IEECAS) urban site, <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fell by 36 % from <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">40.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2011–2013 to <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">25.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2014–2016 (<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) (Zhou et al., 2022). Suburban sites declined by <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">23.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2016 (Wang et al., 2018) to <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2021–2022 (Liu et al., 2024) (<inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). These decreases are consistent with independent <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> tree-ring records indicating emission peak near 2013 in Xi'an (Niu et al., 2024).</p>
      <p id="d2e7533">Overall, the harmonized, site-specific, and time-of-day-corrected comparisons demonstrate statistically significant reductions in fossil-fuel <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> across China's major urban centers. For Guangzhou particularly, the combined evidence – consistent background domain, typical meteorology, verified sampling representativeness, and quantified diurnal correction – provides strong support that the observed <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decline reflects genuine decarbonization rather than artifacts of sampling or transport variability. Furthermore, this observed decline in <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is consistent with reported emission reductions in major source regions of South and East China (e.g., Hebei, Shandong, Zhejiang, and Guangdong; Fig. F2) according to the MEIC inventory (Shi et al., 2022), supporting the interpretation of a widespread decarbonization trend.</p>
      <p id="d2e7569">Similar reductions were found in <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions from 2012–2020 according to the MEIC inventory (Shi et al., 2022), such as Guangzhou (by 16 % from 2011), Shenzhen (by 3 %), Zhanjiang (by 0.1 %), Beijing (by 16 %), and Xi'an (by 9 %) (Fig. 4b), particularly in the industrial and power sectors (Li et al., 2017). We also found such declines in the MIXv2 Asian emission inventory (MIXv2, excluding Shenzhen and Shaoguan) (Li et al., 2024) and another carbon inventory for most Chinese cities (Zhang et al., 2024), but not in the ODIAC (Oda and Maksyutov, 2024) and the Emissions Database for Global Atmospheric Research (EDGAR) (Crippa et al., 2023). In fact, the mitigation of <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in China's MEIC inventory was primarily driven by heterogeneous trends across cities: 38 % exhibited sustained emission reductions, 29 % showed an initial decline followed by a rebound, while 33 % maintained increasing trajectories. Notably, cities achieving sustained reductions were disproportionately concentrated in larger cities, comprising 86 % of megacities, 43 % of supercities, and 43 % of Type I large cities (populations of 3–5 million). In contrast, smaller cities showed lower mitigation prevalence, with only 34 % of Type II large cities (1–3 million) and 38 % of medium/ small cities attaining emission decreases.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e7597"><bold>(a)</bold> Harmonized comparison of <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions at the same sites and seasons, after applying consistent sampling time and background assumptions. <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are compiled from atmospheric measurements (Wang et al., 2022b; Zhou et al., 2022, 2020; Ding et al., 2013; Wang et al., 2018) in Beijing, Xi'an, and Guangzhou.  Large symbols indicate annual means, multiyear averages, or winter means (w) of the harmonized <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values listed in Table H2; small symbols represent the corresponding individual measurements. <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as enhancements over the regional background (Nanling for Guangzhou; Waliguan for Beijing and Xi'an). For Guangzhou, the inter-study harmonization in Table H2 uses a common NL tree-ring <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reference baseline (growing-season integrated; extrapolated to 2022 from the 2011–2020 record; Li et al., 2025b) to harmonize background definitions across studies (used for harmonization only, not as a winter background). The <inline-formula><mml:math id="M411" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis error bars indicate uncertainty, and the <inline-formula><mml:math id="M412" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis error bars represent the observed period. <bold>(b)</bold> <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the MEIC (solid lines) (Li et al., 2017; Meic, 2023; Zheng et al., 2018) and MIXv2 (dotted lines) (Li et al., 2024) inventories in Beijing, Xi'an, Guangzhou, Shenzhen, Zhanjiang, and Shaoguan since 2010. The vertical dashed line indicates the year 2013 when China's Clean Air Action Plan was implemented.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f04.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Driver factors</title>
<sec id="Ch1.S3.SS5.SSS1">
  <label>3.5.1</label><title>Coal-to-gas transition</title>
      <p id="d2e7717">We determined the coal, oil, and natural gas fractions of <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> using the Keeling plot of <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (i.e., scatter plot between <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and inverse of <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions) and the Bayesian mixing model (MixSIAR) (Stock et al., 2018) during winter 2022. The fractions in winter were (<inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mn mathvariant="normal">49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula>) %, (<inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>) %, and (<inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula>) %, respectively, for Guangzhou, (<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mn mathvariant="normal">47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula>) %, (<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>) %, and (<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>) % for Shenzhen, (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mn mathvariant="normal">43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula>) %, (<inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>) %, and (<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>) % for Zhanjiang, and (<inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mn mathvariant="normal">39</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula>) %, (<inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mn mathvariant="normal">34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula>) %, and (<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>) % for Shaoguan (Table I1). Coal combustion was the largest contributor to <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, followed in descending order by oil combustion and natural gas combustion. Compared with other cities around the world (Table I1), we found natural gas was the primary fuel type consumed in Paris (70 %) (Lopez et al., 2013) and Beijing (<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> %) (Wang et al., 2022b), whereas oil was the main fuel type consumed in Los Angeles (<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) (Djuricin et al., 2010; Newman et al., 2016). Coal remains the primary fossil fuel used in Xi'an ((<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">72.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula>) % in 2014 and (<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mn mathvariant="normal">54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>) % in 2019) (Wang et al., 2022b; Zhou et al., 2014), Guangzhou (49 % in 2022), and Shenzhen (47 % in 2022). Notably, cities with high <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions consume all three types of fossil fuels, with the dominant fuel type varying by city.  Coal remains the primary fossil fuel used in many Chinese cities.</p>
      <p id="d2e8009">The reduction in <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations can be attributed to changes in energy systems as a result of China's clean air measures (Shi et al., 2022). A major contribution has been the reduction in coal usage and the shift to low-carbon energy sources such as natural gas. During 2013–2022, the share of coal in the energy mix decreased by 4.9 % in China and by 7.1 % in Guangdong Province, whereas the share of natural gas increased by 3.0 % in China and by 7.2 % in Guangdong Province, according to the MEIC inventory (Li et al., 2017; Zheng et al., 2018; Meic, 2023; Xu et al., 2024). By applying the coal, oil, and natural gas fractions of <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> derived from our measurements, it's likely that coal usage in Guangdong Province since 2013 have decreased <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">21</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and natural gas usage have increased by <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">16</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 5a). Similarly, in Guangzhou city, it's likely that coal usage since 2011 has decreased by 23 % instead of by 8.8 % (Fig. 5b), and natural gas usage has increased by 17 % instead of by 7.9 %, assuming that the fuel type fractions of <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Guangzhou city were the same as those in Guangdong Province in the inventory.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e8073"><bold>(a)</bold> Coal, oil, and natural gas fractions of <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Guangdong Province from the MEIC inventory from 1990–2021 (points), and in the cities of Guangzhou, Shenzhen, Zhanjiang, and Shaoguan from measurements in this study in 2022 (triangles). <bold>(b)</bold> (Top) Comparison of reductions in <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventory emissions (blue) and harmonized measured <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in Guangzhou (red; harmonized by applying consistent sampling-time and background assumptions) resulting from (Bottom) reduced coal usage and increased natural gas usage in Guangzhou. The vertical dashed line indicates the year 2013 when China's Clean Air Action Plan was implemented.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS5.SSS2">
  <label>3.5.2</label><title>Combustion efficiency improvement</title>
      <p id="d2e8128">We calculated <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios at each measurement site and found higher ratios in summer than winter (Fig. J1). However, we focused only on observations in winter for four reasons. First, summer CO shows greater instability as its atmospheric lifetime depends on OH radical production, which is enhanced through photochemical reactions (e.g., <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation) under intense solar radiation, making CO a less reliable fossil fuel tracer (Rosendahl, 2022). Second, winter exhibits stronger <inline-formula><mml:math id="M447" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO-<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> correlations (<inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. J2) with better regional representativeness due to extended CO atmospheric lifetime from slower CO oxidation rates. Third, the winter <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> relationship better captures anthropogenic emission characteristics compared to other seasons. Fourth, weaker vertical mixing in winter accentuates local emission impacts (Wang et al., 2010). In addition, the lower <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> signals observed in summer lead to higher uncertainty in the regression slope and thus greater uncertainty in the <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios, as also noted in Maier et al. (2024), which can be seen in the larger error bars of the summer data in Fig. J2.</p>
      <p id="d2e8266">We then estimated winter 2022 <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios across Chinese cities using <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> regression slopes (Fig. J2), with spatial variations primarily attributed to differences in fuel composition and combustion efficiency (Graven et al., 2009). CO is generated through incomplete combustion of both fossil fuels and biomass. These spatial patterns are consistent with combustion characteristics showing biomass burning produces higher CO emissions per unit energy than fossil fuel combustion (Akagi et al., 2011). As shown in Fig. J1, suburban/rural sites (GZ1, SZ9, ZJ1, SG1) exhibited significantly higher ratios than urban sites (GZ5, SZ7, ZJ4, SG3): GZ1 <inline-formula><mml:math id="M458" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> GZ5 ((<inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mn mathvariant="normal">30.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.0</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M460" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), SZ9 <inline-formula><mml:math id="M463" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> SZ7 ((<inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mn mathvariant="normal">41.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.0</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M465" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), ZJ1 <inline-formula><mml:math id="M468" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ZJ4 ((<inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mn mathvariant="normal">41.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M470" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.4</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and SG1 <inline-formula><mml:math id="M473" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> SG3 ((<inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M475" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This pattern is in agreement with previous studies attributing elevated ratios in non-urban areas to biomass burning contributions (Rosendahl, 2022). In contrast, megacities showed 35 %–40 % lower ratios (Guangzhou: <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, Shenzhen: <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) compared to smaller cities (Zhanjiang: <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, Shaoguan: <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. J2), suggest higher fossil fuel combustion efficiency and/or lower biomass burning inputs. Guangzhou's ratios are dominated by improved fossil fuel combustion efficiency due to having the highest biomass burning emissions among the four studied cities in the EDGAR2024 inventory, while Shenzhen's ratios are attributed to both factors with nearly negligible biomass contributions corresponding to its 2017 biomass boiler phase-out policy.</p>
      <p id="d2e8667">We retrieved historical <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> data from observations in China by estimation from <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements and correction from <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (increased by 20 %) (Table J1), and <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> data from the MEIC, MIXv2, and EDGAR inventories (Fig. 6). Because the observational record consists of discrete campaigns, for the observations we assess changes using inter-period differences (rather than fitting a single 1998–2022 linear trend), and we test robustness by comparing the inferred change with the combined <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainties (added in quadrature, using the reported vertical <inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainties for each period). Given the minor contribution of biomass burning (BB)-related CO emissions across all inventories, with <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio below 0.003 (MEIC, incorporating OBBEIC data (Song et al., 2009; Huang et al., 2012)), less than 1.0 (MIXv2), and declining from 3.8 (1990) to 1.1 (2022) in EDGAR, we assume that interannual variability in BB emissions has negligible influence on the overall emission ratios. The compiled observations (1998–2022) and inventories (1990–2022) both indicate <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios tend to be lower in recent years than in earlier periods (Fig. 6a), consistent with improved combustion efficiency (Wang et al., 2010; Lee et al., 2020), which is another factor contributing to the reduction in <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. The MEIC inventory attributes this trend to spatiotemporally heterogeneous mitigation pathways: 72 % of the cities started <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> reductions during 1990–1994, while the remaining 28 % (mainly concentrated in the western provinces) exhibited a delayed start until 1995–2004. The implementation of China's clean air policies since 2013 has systematically phased out small, inefficient combustion facilities and replaced them with centralized, high efficient, and clean energy infrastructure (Shi et al., 2022). The phase-out of coal-fired industrial boilers during 2013–2020 reduced <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions by (<inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>) Gt, accounting for 12 % of the national industrial emission reduction (Li, 2023). These technological transitions enhanced combustion efficiency by <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and reduced coal-dominated energy intensity by 40 % across the sector. The MEIC inventory showed that these synergistic measures resulted in significant energy savings, with a net reduction of 0.25 gigatonnes of coal equivalent (Gtce) in 2020 and a cumulative reduction of 1.06 Gtce over the policy implementation period (Shi et al., 2022). Critically, the efficiency-driven transition decoupled energy demand from <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, with combustion optimization directly reducing coal consumption 1 %–2 % and <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions by 1–3 <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> after 2015 (Le Quéré et al., 2016; Friedlingstein et al., 2023b).</p>
      <p id="d2e8962">We systematically compared observational <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values with inventory <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> estimates. Our 2022 measurements of the <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios in megacities (Guangzhou and Shenzhen) were consistent with EDGAR estimates (14.9 <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 2022), while those in smaller cities (Zhanjiang and Shaoguan) were closer to MEIC values (19.2 <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 2020) (Fig. 6a) and independent field measurements near Xi'an (<inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 2021) (Liu et al., 2024). City comparisons of observations against MEIC estimates revealed systematic deviations: Shenzhen's observed ratio fell 42 % below inventory estimates (23.4 <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), whereas Shaoguan's exceeded projections (12.7 <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) by 71 %; Guangzhou's and Zhanjiang's are similar to inventory estimates (14.2 and 23.8 <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively) (Fig. 6b). When a regional background site is used, however, the inferred <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios may be influenced by emissions from outside the target city, so that the observed ratios represent a mixture of urban and regional emission signatures rather than a purely city-scale signal. This background effect may therefore contribute to some of the discrepancies between <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e9238">The 24 year observational record of <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios (1998–2022) are closer to (higher than) the MEIC estimates with a difference of (<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula>) % compared with the MIXv2 and EDGAR estimates, when focusing on the ratios over time and ignoring the local deviations caused by the specific cities. These findings indicate that the MEIC inventory is more accurate than the EDGAR inventory for China. For specific cities, we found that the MEIC inventory estimates were deviated less from the observed <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (based on <inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements) in recent years than the corrected <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (using <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) in earlier years for Beijing and Guangzhou (Fig. 6b). For example, in Beijing, the discrepancy in the ratios between observations and inventories decreased from 22 % in 2006–2007 (<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>-corrected) (Wang et al., 2010) to 8.7 % in 2009–2010 (<inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>-derived) (Turnbull et al., 2011), and further declined to 7.0 % by 2014 (<inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>-derived) (Niu et al., 2018). Similarly, in Guangzhou, the discrepancy dropped from 84 % in 2009–2010 (<inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>-corrected) (Silva et al., 2013) to 34 % in 2014–2017 (<inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>-corrected) (Mai et al., 2021), and eventually reached 6.4 % by 2022 (<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>-derived). These results suggest that <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> corrections should be carefully interpreted, as the effect of <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from non-fossil sources can significantly bias the results, even in megacities with high <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions. For example, human respiration could bias <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> low by about 9 % at a rural site near Beijing (Wang et al., 2010; Turnbull et al., 2011).</p>
      <p id="d2e9551">Despite the relatively good agreement of ratios between observations (<inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and MEIC inventory (<inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) at the national scale, observational data exhibited significantly greater <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> reduction rates than inventory estimates when examined at the city level. From observations (Fig. 6b), in Guangzhou, <inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> decreased by 36 % from 35.8 <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2009–2010 (Silva et al., 2013) to 23.8 <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in winter of 2014–2017 (Mai et al., 2021) and by 63 % to 13.3 <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in winter 2022 (partly reflecting seasonal differences, as the Silva et al. (2013) dataset included summer observations, and partly indicating reduced CO emissions relative to <inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to improved combustion efficiency); in Beijing, <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> decreased by 58 % from 72.3 <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2004 (Han et al., 2009) to 30.4 <inline-formula><mml:math id="M539" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2014 (Niu et al., 2018); in Xi'an, <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> decreased by 50 % from <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2016 (Wang et al., 2018) to <inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> in 2021 (Liu et al., 2024). The MEIC estimates for the above three cities decreased by 36 %, 52 %, and 21 %, respectively, over the same period. Larger reductions of the ratios were found from observations than those from the MEIC inventory (i.e., <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mn mathvariant="normal">63</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">36</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> for Guangzhou, <inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mn mathvariant="normal">58</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">52</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> for Beijing, and <inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">21</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> for Xi'an). This conclusion holds even after artificially biasing the <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio downward by about 9 % to account for human respiration in Beijing (2004) and in Guangzhou (2009–2010 and 2014–2017). These findings suggest that the MEIC inventory may insufficiently capture, or lag, the rapid improvement in combustion efficiency and energy structure transformation in China.</p>
      <p id="d2e9947">The 24 year decline in China's <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios (1998–2022) demonstrates both improved fossil fuel combustion efficiency and successful implementation of air pollution control policies i.e., the success of air pollution emission reduction efforts. Our observations reveal significantly greater urban <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> reductions than those estimated by the MEIC inventory, indicating potential underestimation of CO emission reductions relative to <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mitigations in current inventories. This finding aligns with previous reports of inventory underestimates for real-world CO reductions. Mai et al. (2021) showed that the MEIC inventory may underestimate cumulative reductions from fleet turnover and catalytic converter upgrades, despite China's National V standards having achieved the <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> CO emission limit since 2013. Together, these results imply that the MEIC inventory might systematically underestimate the actual effectiveness of clean air policies in reducing air pollutant emissions.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e10034"><inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for <bold>(a)</bold> China and for <bold>(b)</bold> Chinses cities obtained from inventories and observations (values refer to Table H1). For <bold>(a)</bold>, the gray symbols represent data from the emission inventories (Tanimoto et al., 2008), including MEIC (Meic, 2023; Xu et al., 2024; Li et al., 2019, 2017), MIXv2 (Li et al., 2024), and EDGAR2024 (EDGAR, 2024). The <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> emission ratios derived from the three inventories are shown with distinct approaches: (1) MEIC calculated the <inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio for all anthropogenic sectors (represented by solid line with point symbols); (2) MIXv2 computed two variants: combining anthropogenic sectors with open biomass burning (solid line with diamond symbols) and anthropogenic-only emissions (dash-dotted line); while (3) EDGAR2024 provided three ratios: fossil <inline-formula><mml:math id="M554" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> biogenic CO (solid line with square symbols), fossil <inline-formula><mml:math id="M555" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> biomass burning CO (dashed line), and fossil-only CO (dotted line), all relative to <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions. The light blue symbols represent <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> corrected by <inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from observational studies (Wang et al., 2010; Tohjima et al., 2014; Suntharalingam et al., 2004; Tang et al., 2018; Han et al., 2009; Fu et al., 2015), assuming that 20 % of the <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement was from sources other than <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The orange symbols represent <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> calculated based on atmospheric <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements from previous studies (Turnbull et al., 2011; Niu et al., 2018; Lee et al., 2020; Wang et al., 2018; Liu et al., 2024). The red symbols depict the values observed in this study. For (b), the Chinese cities include Beijing, Xi'an, Guangzhou, Shenzhen, Zhanjiang, and Shaoguan from the MEIC inventory (filled circles) and observations from previous studies (Wang et al., 2018, 2010; Liu et al., 2024; Silva et al., 2013; Niu et al., 2018; Mai et al., 2021; Han et al., 2009; Turnbull et al., 2011) and this study since 1990.  The up and down triangles represent <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> estimated based on atmospheric <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements. Other symbols represent the <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> corrected by <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from observational studies, assuming that 20 % of the <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement is from sources other than <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. For observation-based <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, vertical error bars denote the uncertainty of the fitted <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> regression slope.  Horizontal error bars indicate the time span of each observation period, and the symbol is plotted at the median time.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f06.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Implication</title>
      <p id="d2e10425">Since 2013, China has implemented a series of measures with the explicit aim of improving air quality. While the initial goal of China's clean air targets was to address air pollution, they also served as a powerful catalyst for the simultaneous transformation of energy systems and the mitigation of <inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions. As a result, we have observed <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration and emission reductions in some Chinese megacities and supercities, such as Guangzhou, Beijing, and Xi'an. The achievement of peak emissions in Beijing (2010) and Xi'an (2013) (Niu et al., 2024) marks a pivotal transition for China, signaling that cities across the nation, from megacities to small cities, are gradually reaching their emission peaks. This milestone has profound implications for both China's sustainable development and global climate governance, as China has dominated the global trend since 2010 (Friedlingstein et al., 2023a).</p>
      <p id="d2e10450">Despite China's remarkable success in reducing <inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, continued efforts are needed to optimize the nation's energy system and economic structure in order to facilitate future green growth. It is imperative that common solutions to climate change and air pollution are formulated and implemented with urgency, as China has set a goal for all cities to meet current air quality standards by 2035 and has pledged to achieve carbon peak by 2030 and carbon neutrality by 2060. One available solution is to control the common key sources and dominant source regions of air pollution and <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Wu et al., 2022; Zheng et al., 2024). In future policymaking, it is essential to adopt a co-beneficiary strategy that co-ordinates clean air measures and addresses climate change measures. This strategy, together with the associated assessment approach, will be an essential part of achieving sustainable development.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions and outlook</title>
      <p id="d2e10484">This study advances the understanding of urban <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration changes in China through three key contributions. First, we provide a comprehensive error analysis framework for <inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimation, including contributions from air–sea exchange, nuclear facilities, and particularly biomass burning. Second, we identify inter-period decreases in observed <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in cities and their source regions, which are consistent with coal-to-gas transitions (evidenced by stable isotope analysis) and combustion efficiency improvements (supported by declining <inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios), where megacities and supercities lead this decline.  Finally, through systematic analysis of long-term <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> trends, we reveal current emission inventories may underestimate combustion efficiency gains and CO emission reductions relative to <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mitigations. These findings provide critical support for refining emission accounting systems and developing evidence-based climate policies. The integrated approach offers new insights into urban emission dynamics and mitigation effectiveness.</p>
      <p id="d2e10580">This study has some limitations in sampling and source attribution. First, current sampling only covers summer and winter; future work should include all seasons to better capture annual trends. Second, the <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>-based source partitioning is associated with large uncertainties – on the order of tens of percent – due to the limited isotopic separation among <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources and the poorly constrained biogenic endmember. Similar uncertainty ranges have been reported in previous urban studies (see Table I1). Therefore, the <inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> partitioning results presented here should be considered as a preliminary, first-order estimate. Direct measurements of source-specific isotopic values would help refine the analysis.</p>
      <p id="d2e10632">In future work, a detailed quantitative analysis linking <inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to emission distributions using FLEXPART footprints will be conducted to provide a more rigorous connection between observations and emission sources. Additionally, future studies should explicitly consider seasonally varying background references, ideally including coastal or marine background sites to better represent summer air masses. Furthermore, upcoming efforts could incorporate atmospheric modelling and inversion methods to improve emission estimates. This would require high resolution prior flux data and validation against direct measurements (e.g., radiocarbon analysis). Addressing these gaps would enhance source apportionment accuracy and enable a more robust integration of top-down (e.g., inversions) and bottom-up (e.g., inventories) approaches for evaluating urban emission mitigation strategies.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Seasonal averages and quality control of <inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements</title>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e10702"><inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> averages and standard deviations (<inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>4 for each value) at 30 sampling sites.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Site</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">Summer </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Winter </oasis:entry>
         <oasis:entry colname="col7">Altitude</oasis:entry>
         <oasis:entry colname="col8">Elevation</oasis:entry>
         <oasis:entry colname="col9">Site description</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">code</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (‰)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (‰)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (‰)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (‰)</oasis:entry>
         <oasis:entry colname="col7">(m a.s.l.)</oasis:entry>
         <oasis:entry colname="col8">(m a.g.l.)</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">GZ1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">46.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M598" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">212</oasis:entry>
         <oasis:entry colname="col8">25</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">19</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">46.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">120</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">23</oasis:entry>
         <oasis:entry colname="col8">35</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">46</oasis:entry>
         <oasis:entry colname="col8">35</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">42.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">52.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">53</oasis:entry>
         <oasis:entry colname="col8">60</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">120/75</oasis:entry>
         <oasis:entry colname="col8">118/40</oasis:entry>
         <oasis:entry colname="col9">Urban tower/Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M624" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ9</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">50</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GZ10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">54</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shenzhen</oasis:entry>
         <oasis:entry colname="col2">SZ1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">46.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">40</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Suburban tower</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">63.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">28</oasis:entry>
         <oasis:entry colname="col8">15</oasis:entry>
         <oasis:entry colname="col9">Rooftops in Industrial area</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
         <oasis:entry colname="col8">15</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">42</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban campus rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">40</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Urban campus rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">31.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">60</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Suburban tower</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M660" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">33.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M662" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">210</oasis:entry>
         <oasis:entry colname="col8">200</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M664" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">43.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">31.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">150</oasis:entry>
         <oasis:entry colname="col8">110</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops at the</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">boundary site</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ9</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">45.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">32.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">60</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Suburban tower</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SZ10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M673" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">52.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M674" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">60</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zhanjiang</oasis:entry>
         <oasis:entry colname="col2">ZJ1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M675" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M677" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">8</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
         <oasis:entry colname="col9">Rural rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ZJ2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">24</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ZJ3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">44</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ZJ4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">38.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">25</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ZJ5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M692" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">40.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">41/46</oasis:entry>
         <oasis:entry colname="col8">50/30</oasis:entry>
         <oasis:entry colname="col9">Suburban campus site/</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">Site near the port area</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shaoguan</oasis:entry>
         <oasis:entry colname="col2">SG1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M695" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M696" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M697" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M698" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">114</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Suburban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SG2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M699" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M700" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M701" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M702" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">60</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban campus rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SG3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M704" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">68</oasis:entry>
         <oasis:entry colname="col8">40</oasis:entry>
         <oasis:entry colname="col9">Urban rooftops</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SG4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">43.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M709" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M710" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">95</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
         <oasis:entry colname="col9">Rural site</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SG5/NL</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M711" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M713" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">1700</oasis:entry>
         <oasis:entry colname="col8">15</oasis:entry>
         <oasis:entry colname="col9">Rooftops at the background site</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<fig id="FA1"><label>Figure A1</label><caption><p id="d2e13305">Pair differences of <inline-formula><mml:math id="M715" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for replicate measurements. Replicates were obtained from parallel air samples. The difference of each individual measurement from its pair mean is shown.  Closed and open symbols are the first and second group taken from each pair, respectively. Error bars are the <inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> uncertainty on each measurement for the upper panel.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f07.png"/>

      </fig>

</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Radiocarbon isotope endmembers for biomass burning</title>
      <p id="d2e13353">Atmospheric <inline-formula><mml:math id="M717" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is assimilated by plants via photosynthesis, imprinting atmospheric <inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures into plant tissues. This creates a bidirectional link: plant <inline-formula><mml:math id="M719" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reflects atmospheric <inline-formula><mml:math id="M720" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> levels, while atmospheric <inline-formula><mml:math id="M721" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> dynamics can be inferred from plant biomass archives (e.g., tree-ring). Annual biomass <inline-formula><mml:math id="M722" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> closely matches contemporaneous atmospheric <inline-formula><mml:math id="M723" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (due to rapid carbon turnover within a single growing season). Multi-year biomass <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents an integrated signal, blending atmospheric <inline-formula><mml:math id="M725" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> variations over its growth period (e.g., tree-ring capture annual <inline-formula><mml:math id="M726" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> fluctuations).</p>
<sec id="App1.Ch1.S2.SS1">
  <label>B1</label><title>Annual biomass</title>
      <p id="d2e13568">The <inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for annual biomass (<inline-formula><mml:math id="M728" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in 2022 was estimated as <inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M730" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> MSE), derived from a linear regression model of atmospheric <inline-formula><mml:math id="M731" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> decline (<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) observed in Northern Hemisphere zone 3 between 2010 and 2018 (Hua et al., 2022).</p>
</sec>
<sec id="App1.Ch1.S2.SS2">
  <label>B2</label><title>Multi-year biomass</title>
      <p id="d2e13679">The <inline-formula><mml:math id="M733" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for multi-year biomass (<inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is related with its age; the year it was growing, the annual increase in biomass, and atmospheric <inline-formula><mml:math id="M735" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during its growth cycle. The <inline-formula><mml:math id="M736" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for multi-year biomass can be determined (Lewis et al., 2004):

            <disp-formula id="App1.Ch1.S2.E9" content-type="numbered"><label>B1</label><mml:math id="M737" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi>w</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mi>w</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M738" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the atmospheric <inline-formula><mml:math id="M739" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at age <inline-formula><mml:math id="M740" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, and the weighting function <inline-formula><mml:math id="M741" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the growth rate of carbon in biomass at age <inline-formula><mml:math id="M742" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, which can be determined by the Chapman–Richards growth model (Lewis et al., 2004):

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M743" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S2.E10"><mml:mtd><mml:mtext>B2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mi>m</mml:mi></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S2.E11"><mml:mtd><mml:mtext>B3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>w</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M744" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the volume of a tree at age <inline-formula><mml:math id="M745" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M746" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and the parameters <inline-formula><mml:math id="M748" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M749" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M750" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> can be chosen empirically to fit measured tree growth characteristics. The Chapman–Richards growth model describes cumulative growth of <inline-formula><mml:math id="M751" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>.</p>
      <p id="d2e14066">It is assumed that the multi-year biomass was partitioned into five age cohorts (10, 20, 40, 65, and 85 year-old trees) with relative share of <inline-formula><mml:math id="M752" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M753" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M754" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M755" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M756" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, respectively (Mohn et al., 2008). The corresponding <inline-formula><mml:math id="M757" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values were calculated as <inline-formula><mml:math id="M758" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:mn mathvariant="normal">52.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:mn mathvariant="normal">137.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M761" display="inline"><mml:mrow><mml:mn mathvariant="normal">261.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M762" display="inline"><mml:mrow><mml:mn mathvariant="normal">203.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Consequently, the <inline-formula><mml:math id="M763" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signature of the multi-year biomass for the year 2022 was estimated as <inline-formula><mml:math id="M764" display="inline"><mml:mrow><mml:mn mathvariant="normal">116.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M766" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) using the Chapman–Richards growth model (<inline-formula><mml:math id="M767" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M768" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) and long-term tree-ring <inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements (Hua et al., 2022).</p>
</sec>
<sec id="App1.Ch1.S2.SS3">
  <label>B3</label><title>Biomass burning</title>
      <p id="d2e14350">The <inline-formula><mml:math id="M770" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> endmember for biomass burning (<inline-formula><mml:math id="M771" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated using the two biomass types:

            <disp-formula id="App1.Ch1.S2.E12" content-type="numbered"><label>B4</label><mml:math id="M772" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>BB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M774" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the <inline-formula><mml:math id="M775" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures of annual biomass (e.g., crop residues) and multi-year biomass (e.g., woody waste), respectively, and <inline-formula><mml:math id="M776" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the annual biomass fraction.</p>
      <p id="d2e14484">Using this framework, we estimated the 2022 <inline-formula><mml:math id="M777" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> endmembers for biomass burning as <inline-formula><mml:math id="M778" display="inline"><mml:mrow><mml:mn mathvariant="normal">116.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M779" display="inline"><mml:mrow><mml:mn mathvariant="normal">103.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:mn mathvariant="normal">90.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M781" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M782" display="inline"><mml:mrow><mml:mn mathvariant="normal">63.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M783" display="inline"><mml:mrow><mml:mn mathvariant="normal">50.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M784" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of 0 %, 10 %, 20 %, 30 %, 40 %, 50 %, respectively.</p>
</sec>
</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Bias correction for <inline-formula><mml:math id="M785" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculation</title>
<sec id="App1.Ch1.S3.SS1">
  <label>C1</label><title>Air–sea exchange</title>
      <p id="d2e14636">The potential influence of <inline-formula><mml:math id="M786" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> outgassing from the adjacent South China Sea (SCS) on our onshore measurements was assessed. Although the SCS is a net source of <inline-formula><mml:math id="M787" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the atmosphere (with an annual flux of 0.44 <inline-formula><mml:math id="M788" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Li et al., 2020), its influence is negligible. This conclusion is supported by an analogous study of the California coast: the high-resolution WRF-STILT simulation by Graven et al. (2018) was conducted using flux data that included intense local nearshore sources (with fluxes up to 1.11 <inline-formula><mml:math id="M789" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Turi et al., 2014). Their results demonstrated that even these potent sources altered onshore <inline-formula><mml:math id="M790" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations by less than 0.001 ppm (Graven et al., 2018). Given that the regional net flux from the SCS is weaker than this analogue, we conclude its impact on our <inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements and derived <inline-formula><mml:math id="M792" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates is physically insignificant and within the measurement uncertainty.</p>
</sec>
<sec id="App1.Ch1.S3.SS2">
  <label>C2</label><title>Nuclear facilities</title>
      <p id="d2e14766">All operational (Daya Bay, Ling'ao, Yangjiang, Taishan) and under-construction (Lufeng, Taipingling, Lianjiang) nuclear power plants (NPPs) along the Guangdong Province coastline (Table C1) employ pressurized water reactor (PWR) technology. Airborne <inline-formula><mml:math id="M793" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> releases from these facilities are predominantly hydrocarbons (75 %–95 %), mainly <inline-formula><mml:math id="M794" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with only a small fraction emitted as <inline-formula><mml:math id="M795" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (IAEA, 2004). In fact, almost all commercial reactors in China (<inline-formula><mml:math id="M796" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) are of the PWR type, which exhibits the lowest <inline-formula><mml:math id="M797" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission factor among nuclear technologies (Graven and Gruber, 2011; Yang, 2024).</p>
      <p id="d2e14831">Graven and Gruber (2011) reported that most of China and the western US are regions with minimal potential bias in <inline-formula><mml:math id="M798" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-based <inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates, owing to strong fossil fuel signals and limited nuclear <inline-formula><mml:math id="M800" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> influence. Consistently, Graven et al. (2018) simulated the impact of reactor emissions on atmospheric <inline-formula><mml:math id="M801" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using WRF-STILT and found that an average <inline-formula><mml:math id="M802" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> release rate of 6.6 <inline-formula><mml:math id="M803" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ci</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">TBq</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) from the Diablo Canyon NPP in California produced an effect of <inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in inferred <inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at all sites, confirming that nuclear <inline-formula><mml:math id="M807" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> emissions have a negligible influence on atmospheric radiocarbon measurements.</p>
      <p id="d2e14981">In Guangdong Province, Zazzeri et al. (2018) estimated <inline-formula><mml:math id="M808" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the Daya Bay, Ling'ao, and Yangjiang NPPs to be 0.111, 0.233, and 0.166 <inline-formula><mml:math id="M809" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">TBq</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, values comparable to or smaller than those reported for Diablo Canyon. Although Daya Bay and Ling'ao are located only 6–7 km from the nearest observation site (SZ10) (Table C1), their emission rates remain extremely low. Under prevailing southeasterly winds in summer and northeasterly winds in winter, dispersion within the coastal boundary layer further dilutes any potential <inline-formula><mml:math id="M810" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes before they reach the sampling locations. Based on Gaussian plume scaling and regional wind climatology, we estimate that even under typical plume condition, the contribution of local reactor <inline-formula><mml:math id="M811" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to measured <inline-formula><mml:math id="M812" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at these urban sites would be <inline-formula><mml:math id="M813" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, corresponding to an effect on inferred <inline-formula><mml:math id="M814" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> below 0.05 ppm. This estimate can be regarded as an upper bound for potential nuclear contamination at our sites, because all NPPs that could influence Guangzhou are located at <inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:mtext>distances</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> from the Guangzhou observation site (Table C1).</p>
      <p id="d2e15103">Therefore, even for the closest stations, the impact of nearby nuclear facilities on <inline-formula><mml:math id="M816" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements is considered negligible and does not affect our radiocarbon-based source partitioning. For Guangzhou in particular, any nuclear influence on individual flask samples, and thus on the derived <inline-formula><mml:math id="M817" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> trend, is expected to be even smaller than this upper bound and negligible compared to other sources of uncertainty.</p>

<table-wrap id="TC1" specific-use="star"><label>Table C1</label><caption><p id="d2e15137">Summary of operational nuclear facility in Guangdong Province: installed capacity, operational period, <inline-formula><mml:math id="M818" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, and proximity to sampling sites with dominant wind directions.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="23mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="23mm"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="10mm"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="10mm"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Nuclear facility</oasis:entry>
         <oasis:entry colname="col2" align="left">Installed electric</oasis:entry>
         <oasis:entry colname="col3" align="left">Operation period<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M825" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in</oasis:entry>
         <oasis:entry colname="col5" align="left">Closest</oasis:entry>
         <oasis:entry colname="col6" align="left">Distance</oasis:entry>
         <oasis:entry colname="col7">Dominant wind</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left">capacity<sup>a</sup> (MWe)</oasis:entry>
         <oasis:entry colname="col3" align="left"/>
         <oasis:entry colname="col4">2016<sup>c</sup> (<inline-formula><mml:math id="M828" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">TBq</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5" align="left">site</oasis:entry>
         <oasis:entry colname="col6" align="left">(km)</oasis:entry>
         <oasis:entry colname="col7">direction</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Daya Bay 1–2</oasis:entry>
         <oasis:entry colname="col2" align="left">984/984</oasis:entry>
         <oasis:entry colname="col3" align="left">1994/1994-present</oasis:entry>
         <oasis:entry colname="col4">0.111</oasis:entry>
         <oasis:entry colname="col5" align="left">SZ10/ SZ9</oasis:entry>
         <oasis:entry colname="col6" align="left">6/ 22</oasis:entry>
         <oasis:entry colname="col7">SE (Summer)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Ling'ao 1–4</oasis:entry>
         <oasis:entry colname="col2" align="left">990/990/ 1086/1086</oasis:entry>
         <oasis:entry colname="col3" align="left">2022/2003/ 2010/2011–present</oasis:entry>
         <oasis:entry colname="col4">0.233</oasis:entry>
         <oasis:entry colname="col5" align="left">SZ10/ SZ9</oasis:entry>
         <oasis:entry colname="col6" align="left">7/ 22</oasis:entry>
         <oasis:entry colname="col7">NE (Winter)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Yangjiang 1–6</oasis:entry>
         <oasis:entry colname="col2" align="left">1086/1086/1086/ 1086/1086/1086</oasis:entry>
         <oasis:entry colname="col3" align="left">2014/2015/2016/ 2017/2018/2019–present</oasis:entry>
         <oasis:entry colname="col4">0.166/unknown</oasis:entry>
         <oasis:entry colname="col5" align="left">ZJ1/ GZ10/ SZ3</oasis:entry>
         <oasis:entry colname="col6" align="left">164/ 182/ 191</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Taishan 1–2</oasis:entry>
         <oasis:entry colname="col2" align="left">1750/1750</oasis:entry>
         <oasis:entry colname="col3" align="left">2018/2019–present</oasis:entry>
         <oasis:entry colname="col4">unknown</oasis:entry>
         <oasis:entry colname="col5" align="left">GZ10/ SZ3/ ZJ1</oasis:entry>
         <oasis:entry colname="col6" align="left">114/ 116/ 242</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e15155"><sup>a</sup> Data from China Nuclear Energy Association, <italic>Operational Performance of Nuclear Power in China (January–December 2024)</italic> (in Chinese). Retrieved from: <uri>https://www.china-nea.cn/site/content/48480.html</uri> (last access: 18 October 2025).  <sup>b</sup> Data from National Nuclear Safety Administration, <italic>The Status of Mainland China's Nuclear Power Units in 2024</italic> (in Chinese). Retrieved from: <uri>https://nnsa.mee.gov.cn/ywdt/hyzx/202501/t20250107_1100142.html</uri> (last access: 18 October 2025). <sup>c</sup> Emission data from Zazzeri et al. (2018), estimated using emission factors multiplied by IAEA PRIS data, assuming 28 % of <inline-formula><mml:math id="M822" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> released from PWRs is in the form of <inline-formula><mml:math id="M823" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="App1.Ch1.S3.SS3">
  <label>C3</label><title>Biospheric exchange</title>
      <p id="d2e15489">Biospheric carbon fluxes associated with photosynthesis, autotrophic respiration, and annual biomass burning generally do not alter atmospheric <inline-formula><mml:math id="M829" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> levels, as the carbon exchanged through these processes largely maintains isotopic equilibrium with contemporary atmospheric <inline-formula><mml:math id="M830" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Turnbull et al., 2009). In contrast, heterotrophic respiration and multi-year biomass burning (e.g., wildfire consuming legacy organic matter) release carbon fixed during periods of elevated atmospheric <inline-formula><mml:math id="M831" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, such as the 1960s nuclear bomb testing peak. This temporal decoupling between carbon uptake and release introduces a measurable positive bias in modern <inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, reflecting the delayed contribution of older carbon pools. Therefore, we use estimates of heterotrophic respiration (Rh) and biomass burning (BB) fluxes to correct for biospheric influence on <inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculation.</p>
<sec id="App1.Ch1.S3.SS3.SSS1">
  <label>C3.1</label><title>Heterotrophic respiration</title>
      <p id="d2e15579">The heterotrophic respiration correction term (<inline-formula><mml:math id="M834" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is calculated by the following equation:

              <disp-formula id="App1.Ch1.S3.E13" content-type="numbered"><label>C1</label><mml:math id="M835" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Rh</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M836" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math id="M837" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction estimated by coupling hourly FLEXPART footprints with the heterotrophic respiration fluxes extracted from the Carnegie Ames Stanford Approach Global Fire Emissions Database Version 4 (CASA-GFED4s) (Randerson et al., 2017; Van Der Werf et al., 2017). We imposed the diurnal cycle from the CASA-GFED3 (Van Der Werf et al., 2010) heterotrophic respiration fluxes (estimated as half of the ecosystem respiration, which is calculated as the difference between net ecosystem exchange and gross ecosystem exchange; <inline-formula><mml:math id="M838" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>NEE</mml:mtext><mml:mo>-</mml:mo><mml:mtext>GEE</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) onto the nearest neighbor CASA-GFED4s monthly mean fluxes to approximate hourly resolved fluxes. By aggregating these flux estimates, we created flux maps matching the spatial resolution of the hourly FLEXPART footprints. We then calculated <inline-formula><mml:math id="M839" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> by multiplying the FLEXPART footprints with heterotrophic respiration flux maps. The simulated <inline-formula><mml:math id="M840" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were <inline-formula><mml:math id="M841" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M842" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in summer and <inline-formula><mml:math id="M843" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M844" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in winter.</p>
      <p id="d2e15820">We used a value of <inline-formula><mml:math id="M845" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> for the <inline-formula><mml:math id="M846" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signature of heterotrophic respiration (<inline-formula><mml:math id="M847" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), based on the value of <inline-formula><mml:math id="M848" display="inline"><mml:mrow><mml:mn mathvariant="normal">75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> in 2015 (Graven et al., 2018) and considering a decrease of 5 ‰ per year (Zazzeri et al., 2023). The disequilibrium correction from heterotrophic respiration (<inline-formula><mml:math id="M849" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>Rh</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) were estimated to be <inline-formula><mml:math id="M850" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M851" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M852" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) in summer and <inline-formula><mml:math id="M853" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M854" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M855" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) in winter.</p>
</sec>
<sec id="App1.Ch1.S3.SS3.SSS2">
  <label>C3.2</label><title>Biomass burning</title>
      <p id="d2e15990">For the influence of biomass burning, we compared <inline-formula><mml:math id="M856" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from two datasets: CASA-GFED4s (Randerson et al., 2017; Van Der Werf et al., 2017), and the Emissions Database for Global Atmospheric Research (EDGAR) (EDGAR, 2024). The key methodological distinction lies in their scopes. CASA-GFED4s quantifies emissions from <italic>open-environment fires</italic> that are detectable by satellites, including wildfires, agricultural residue burning, savanna/rangeland fires, and other small-scale open burning events. In contrast, EDGAR <inline-formula><mml:math id="M857" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">bio</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">edgar</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents <italic>anthropogenic biofuel combustion</italic>, such as emissions from industrial and residential biomass use, while explicitly excluding large-scale wildfires and land-use change–related emissions (LULUCF). Thus, the two datasets characterize different aspects of biomass combustion: CASA-GFED4s captures open burning, whereas EDGAR focuses on controlled, human-induced combustion.</p>
      <p id="d2e16026">Across Guangdong Province and the four studied cities, biomass burning emissions from CASA-GFED4s accounted for <inline-formula><mml:math id="M858" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of Rh emissions, indicating a minor contribution from open-environment fires in this region.  By contrast, EDGARv2024ghg <inline-formula><mml:math id="M859" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates represented a much larger proportion of Rh emissions, ranging from 7 %–29 % (Guangdong), 24 %–92 % (Guangzhou), 16 %–97 % (Shenzhen), 13 %–38 % (Zhanjiang), and 73 %–248 % (Shaoguan). Given the negligible magnitude of CASA-GFED4s emissions and their minimal effect on <inline-formula><mml:math id="M860" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> quantification, we focused on the EDGAR <inline-formula><mml:math id="M861" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi mathvariant="normal">bio</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">edgar</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> dataset for subsequent analysis. This dataset provides a more complete and representative estimate of anthropogenic biomass combustion <inline-formula><mml:math id="M862" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in urban areas, which are most relevant to our study objectives.</p>
      <p id="d2e16091">To estimate the biomass burning correction term (<inline-formula><mml:math id="M863" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) using the EDGAR2024 <inline-formula><mml:math id="M864" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> inventory (EDGAR, 2024), we first derived total <inline-formula><mml:math id="M865" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> simulations (<inline-formula><mml:math id="M866" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by applying a biomass burning fraction (<inline-formula><mml:math id="M867" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to the <inline-formula><mml:math id="M868" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> simulations (<inline-formula><mml:math id="M869" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). This parameter <inline-formula><mml:math id="M870" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represents the proportion of <inline-formula><mml:math id="M871" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> emissions attributable to biomass burning:

              <disp-formula id="App1.Ch1.S3.E14" content-type="numbered"><label>C2</label><mml:math id="M872" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></disp-formula>

            The correction term <inline-formula><mml:math id="M873" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was subsequently calculated as:

              <disp-formula id="App1.Ch1.S3.E15" content-type="numbered"><label>C3</label><mml:math id="M874" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>BB</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>bg</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            For simulated <inline-formula><mml:math id="M875" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction estimation in 2022, we implemented a three-stage process: (1) Generating <inline-formula><mml:math id="M876" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> resolution flux maps through integration of EDGAR2024 <inline-formula><mml:math id="M877" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>bio_edgar</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> emission fluxes with FLEXPART atmospheric transport footprints, (2) performing spatiotemporal aggregation to align with FLEXPART model output specifications, and (3) calculating concentrations via convolution operations between transport footprints and optimized flux fields.</p>
      <p id="d2e16319">We adopted <inline-formula><mml:math id="M878" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> signatures of <inline-formula><mml:math id="M879" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (annual biomass burning) and <inline-formula><mml:math id="M880" display="inline"><mml:mrow><mml:mn mathvariant="normal">116.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (multi-year biomass burning) calculated in Appendix B.  For 2022 <inline-formula><mml:math id="M881" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> endmembers for biomass burning, we estimated values of <inline-formula><mml:math id="M882" display="inline"><mml:mrow><mml:mn mathvariant="normal">116.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (0 % annual biomass), <inline-formula><mml:math id="M883" display="inline"><mml:mrow><mml:mn mathvariant="normal">103.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (10 %), <inline-formula><mml:math id="M884" display="inline"><mml:mrow><mml:mn mathvariant="normal">90.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (20 %), <inline-formula><mml:math id="M885" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (30 %), <inline-formula><mml:math id="M886" display="inline"><mml:mrow><mml:mn mathvariant="normal">63.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (40 %), and <inline-formula><mml:math id="M887" display="inline"><mml:mrow><mml:mn mathvariant="normal">50.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (50 %), corresponding to incremental annual biomass burning fractions from 0 % to 50 %.</p>
      <p id="d2e16487">We quantified disequilibrium correction terms under the maximum biomass burning (BB) contribution scenario (<inline-formula><mml:math id="M888" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M889" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>BB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>). The simulated <inline-formula><mml:math id="M890" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were <inline-formula><mml:math id="M891" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M892" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in summer and <inline-formula><mml:math id="M893" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M894" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in winter. The BB-specific correction term (<inline-formula><mml:math id="M895" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>BB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) exhibited seasonal variations: <inline-formula><mml:math id="M896" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M897" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M898" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in summer and <inline-formula><mml:math id="M899" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M900" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.56</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M901" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in winter under 0 % annual biomass burning contribution. The combined correction factor <inline-formula><mml:math id="M902" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>, integrating contributions from both heterotrophic respiration (Rh) and biomass burning (BB), showed broader ranges: <inline-formula><mml:math id="M903" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M904" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M905" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in summer and <inline-formula><mml:math id="M906" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (range: <inline-formula><mml:math id="M907" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M908" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) in winter.</p>
</sec>
</sec>
</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Background selection</title>
      <p id="d2e16945">As we summarized in Zhou et al. (2024), Turnbull et al. (2015) concluded that for Indianapolis, a city with relatively simple boundary conditions, the upwind background site (Tower 1) is more appropriate compared with continental and regional background sites (LEF and NWR). In contrast, for Los Angeles, a city with relatively complex boundary conditions, Newman et al. (2016) and Miller et al. (2020) tend to use the neighboring regional or continental background sites (MWO and LJO; BRW and NWR), because the upwind background within the city may be influenced by emissions from neighboring cities and therefore cannot represent the local urban background.</p>
      <p id="d2e16948">In this study, the cities concerned are central cities or neighboring cities of the Pearl River Delta (PRD) urban agglomeration with relatively complex boundary conditions, so we chose the nearest regional background site NL (i.e., SG5) as the background for determining the <inline-formula><mml:math id="M909" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p>
      <p id="d2e16962">The Nanling site serves as an ideal atmospheric background monitoring station for Guangdong due to its remote location (<inline-formula><mml:math id="M910" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> from the PRD urban agglomeration), high-altitude terrain (1700 m a.s.l.) avoiding localized pollution. Situated above the mixed boundary layer under most meteorological conditions, NL is well isolated from urban influences. Its strategic position as a climatic and watershed boundary intercepting seasonal airflows further enables precise monitoring of regional atmospheric transport patterns while meeting strict background-station criteria for pollution isolation and cross-boundary impact assessment.</p>
      <p id="d2e16979">In addition, trajectory and potential source region analyses further confirm that the Nanling site is representative of regional background air under both monsoon regimes. HYSPLIT clustering and PSCF analyses by Zhang et al. (2022) showed that during winter, air masses arriving at Nanling predominantly originate from the northern inland provinces (e.g., Hunan, Jiangxi, Sichuan), while in summer they mostly come from the South China Sea and southeastern coastal regions. These summer air masses are typically marine-influenced and low in <inline-formula><mml:math id="M911" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, consistent with clean background characteristics.</p>
      <p id="d2e16994">Continuous CO observations at NL further support its background representativeness: approximately 90 % of summer samples had concentrations below 200 ppb, comparable to other regional background sites, indicating that pollution from the PRD rarely reaches NL. Therefore, NL can be considered a robust regional background site for both monsoon seasons.</p>
      <p id="d2e16997">Furthermore, the “annual” <inline-formula><mml:math id="M912" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M913" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> averages at NL, which are close to those at the Jungfraujoch, occupy the upper-right section of the Keeling plot of <inline-formula><mml:math id="M914" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> versus <inline-formula><mml:math id="M915" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, representing the background end-member when compared with Waliguan (Fig. 3). Additionally, the <inline-formula><mml:math id="M916" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M917" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> averages at NL were the highest and the lowest, respectively, among the 30 sampling sites (Table A1), consistent with background-level characteristics.</p>
</app>

<app id="App1.Ch1.S5">
  <label>Appendix E</label><title>Comparison of <inline-formula><mml:math id="M918" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions and concentrations among various cities</title>

<table-wrap id="TE1"><label>Table E1</label><caption><p id="d2e17115">Comparison of <inline-formula><mml:math id="M919" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M920" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions derived from <inline-formula><mml:math id="M921" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements in various cities.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Time</oasis:entry>
         <oasis:entry colname="col3">Background</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M927" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M928" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">bio</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
         <oasis:entry colname="col6">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Paris</oasis:entry>
         <oasis:entry colname="col2">2010</oasis:entry>
         <oasis:entry colname="col3">MHD<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">77</oasis:entry>
         <oasis:entry colname="col5">23</oasis:entry>
         <oasis:entry colname="col6">Lopez et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">2006–2013 winter</oasis:entry>
         <oasis:entry colname="col3">LJO<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">86</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">Newman et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">2006–2013 summer</oasis:entry>
         <oasis:entry colname="col3">LJO</oasis:entry>
         <oasis:entry colname="col4">93</oasis:entry>
         <oasis:entry colname="col5">7</oasis:entry>
         <oasis:entry colname="col6">Newman et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">Nov 2014–Mar 2016</oasis:entry>
         <oasis:entry colname="col3">MWO<sup>c</sup></oasis:entry>
         <oasis:entry colname="col4">80</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">Miller et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3">WLG<sup>d</sup></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M933" display="inline"><mml:mrow><mml:mn mathvariant="normal">75.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">24.8</oasis:entry>
         <oasis:entry colname="col6">Niu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xiamen</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M934" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">40.9</oasis:entry>
         <oasis:entry colname="col6">Niu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">2014 winter</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M935" display="inline"><mml:mrow><mml:mn mathvariant="normal">92.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M936" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an, urban</oasis:entry>
         <oasis:entry colname="col2">2016 summer</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M937" display="inline"><mml:mrow><mml:mn mathvariant="normal">82.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">17.5</oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an, urban</oasis:entry>
         <oasis:entry colname="col2">2016 winter</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M938" display="inline"><mml:mrow><mml:mn mathvariant="normal">61.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">38.2</oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an, suburban</oasis:entry>
         <oasis:entry colname="col2">2016 summer</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M939" display="inline"><mml:mrow><mml:mn mathvariant="normal">90.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">10.0</oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an, suburban</oasis:entry>
         <oasis:entry colname="col2">2016 winter</oasis:entry>
         <oasis:entry colname="col3">WLG</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M940" display="inline"><mml:mrow><mml:mn mathvariant="normal">57.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">42.6</oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3">NL<sup>e</sup></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M942" display="inline"><mml:mrow><mml:mn mathvariant="normal">79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">21</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shenzhen</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3">NL</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M943" display="inline"><mml:mrow><mml:mn mathvariant="normal">73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">27</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zhanjiang</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3">NL</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M944" display="inline"><mml:mrow><mml:mn mathvariant="normal">59</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shaoguan</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3">NL</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M945" display="inline"><mml:mrow><mml:mn mathvariant="normal">53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">47</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e17162"><sup>a</sup> Mace Head, <sup>b</sup> La Jolla, <sup>c</sup> Mount Wilson Observatory, <sup>d</sup> Waliguan, <sup>e</sup> Nanling.</p></table-wrap-foot></table-wrap>

<table-wrap id="TE2"><label>Table E2</label><caption><p id="d2e17772">Comparison of <inline-formula><mml:math id="M946" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations derived from <inline-formula><mml:math id="M947" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements in various cities.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Country</oasis:entry>
         <oasis:entry colname="col2">City</oasis:entry>
         <oasis:entry colname="col3">Sampling period</oasis:entry>
         <oasis:entry colname="col4">Sampling time</oasis:entry>
         <oasis:entry colname="col5">Duration</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M948" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M949" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Poland</oasis:entry>
         <oasis:entry colname="col2">Krakow</oasis:entry>
         <oasis:entry colname="col3">1989</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">2 weeks</oasis:entry>
         <oasis:entry colname="col6">27.5</oasis:entry>
         <oasis:entry colname="col7">Kuc et al. (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Poland</oasis:entry>
         <oasis:entry colname="col2">Krakow</oasis:entry>
         <oasis:entry colname="col3">1994</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">2 weeks</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">Kuc et al. (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Poland</oasis:entry>
         <oasis:entry colname="col2">Krakow</oasis:entry>
         <oasis:entry colname="col3">Jan 2005–Dec 2009</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1 week</oasis:entry>
         <oasis:entry colname="col6">1.98–2.18</oasis:entry>
         <oasis:entry colname="col7">Zimnoch et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Poland</oasis:entry>
         <oasis:entry colname="col2">Kasprowy Wierch</oasis:entry>
         <oasis:entry colname="col3">Sep 2007–Dec 2009</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1 week</oasis:entry>
         <oasis:entry colname="col6">1.95–2.08</oasis:entry>
         <oasis:entry colname="col7">Zimnoch et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Poland</oasis:entry>
         <oasis:entry colname="col2">Gliwice</oasis:entry>
         <oasis:entry colname="col3">Jan 2011– Jan 2013</oasis:entry>
         <oasis:entry colname="col4">10:00</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">23–24</oasis:entry>
         <oasis:entry colname="col7">Piotrowska et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Czech Republic</oasis:entry>
         <oasis:entry colname="col2">Prague</oasis:entry>
         <oasis:entry colname="col3">2001–2008</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1 month</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M950" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.51</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.45</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Svetlik et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Slovakia</oasis:entry>
         <oasis:entry colname="col2">Bratislava</oasis:entry>
         <oasis:entry colname="col3">2000–2007</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">1 month</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M951" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.56</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Svetlik et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Germany</oasis:entry>
         <oasis:entry colname="col2">Heidelberg</oasis:entry>
         <oasis:entry colname="col3">1986–1996</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">2 weeks</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M952" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Levin and Rödenbeck (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Germany</oasis:entry>
         <oasis:entry colname="col2">Heidelberg</oasis:entry>
         <oasis:entry colname="col3">1997–2007</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">2 weeks</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M953" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.92</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Levin and Rödenbeck (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hungary</oasis:entry>
         <oasis:entry colname="col2">Debrecen</oasis:entry>
         <oasis:entry colname="col3">Jan 2008</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">4 weeks</oasis:entry>
         <oasis:entry colname="col6">10–15</oasis:entry>
         <oasis:entry colname="col7">Molnár et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">France</oasis:entry>
         <oasis:entry colname="col2">Paris</oasis:entry>
         <oasis:entry colname="col3">15 Jan–19 Feb 2010</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">26.4</oasis:entry>
         <oasis:entry colname="col7">Lopez et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">United Kingdom</oasis:entry>
         <oasis:entry colname="col2">London</oasis:entry>
         <oasis:entry colname="col3">12 Jun–17 Jul 2020</oasis:entry>
         <oasis:entry colname="col4">12:00</oasis:entry>
         <oasis:entry colname="col5">30 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M954" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zazzeri et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">United States</oasis:entry>
         <oasis:entry colname="col2">Los Angeles</oasis:entry>
         <oasis:entry colname="col3">2006–2013</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">1 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M955" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Newman et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">United States</oasis:entry>
         <oasis:entry colname="col2">Los Angeles</oasis:entry>
         <oasis:entry colname="col3">Nov 2014–Mar 2016</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">1 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M956" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Miller et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">United States</oasis:entry>
         <oasis:entry colname="col2">Indianapolis</oasis:entry>
         <oasis:entry colname="col3">2010–2015</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">1 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M957" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Turnbull et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Urumqi</oasis:entry>
         <oasis:entry colname="col3">2014–2016</oasis:entry>
         <oasis:entry colname="col4">14:00–16:00</oasis:entry>
         <oasis:entry colname="col5">2 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M958" display="inline"><mml:mrow><mml:mn mathvariant="normal">45.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Lanzhou</oasis:entry>
         <oasis:entry colname="col3">2014–2016</oasis:entry>
         <oasis:entry colname="col4">14:00–16:00</oasis:entry>
         <oasis:entry colname="col5">2 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M959" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Xi'an</oasis:entry>
         <oasis:entry colname="col3">2011–2013</oasis:entry>
         <oasis:entry colname="col4">afternoon</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M960" display="inline"><mml:mrow><mml:mn mathvariant="normal">40.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Xi'an</oasis:entry>
         <oasis:entry colname="col3">2014–2016</oasis:entry>
         <oasis:entry colname="col4">afternoon</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M961" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Suburban Xi'an</oasis:entry>
         <oasis:entry colname="col3">Jan–Nov 2016</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">15 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M962" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Near Xi'an</oasis:entry>
         <oasis:entry colname="col3">Apr 2021–Mar 2022</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">40 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M963" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Liu et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Beijing</oasis:entry>
         <oasis:entry colname="col3">Jan–Dec 2014</oasis:entry>
         <oasis:entry colname="col4">10:00</oasis:entry>
         <oasis:entry colname="col5">10 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M964" display="inline"><mml:mrow><mml:mn mathvariant="normal">39.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">36.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Niu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Beijing</oasis:entry>
         <oasis:entry colname="col3">2014–2016 (Jan)</oasis:entry>
         <oasis:entry colname="col4">14:00–16:00</oasis:entry>
         <oasis:entry colname="col5">2 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M965" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Beijing</oasis:entry>
         <oasis:entry colname="col3">10 Dec 2020–11 Jan 2021</oasis:entry>
         <oasis:entry colname="col4">14:00</oasis:entry>
         <oasis:entry colname="col5">1 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M966" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Wang et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Wuhan</oasis:entry>
         <oasis:entry colname="col3">2014–2016 (Jan and Jul)</oasis:entry>
         <oasis:entry colname="col4">14:00–16:00</oasis:entry>
         <oasis:entry colname="col5">2 h</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M967" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Xiamen</oasis:entry>
         <oasis:entry colname="col3">Jan–Dec 2014</oasis:entry>
         <oasis:entry colname="col4">10:00</oasis:entry>
         <oasis:entry colname="col5">10 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M968" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Niu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Guangzhou</oasis:entry>
         <oasis:entry colname="col3">Oct 2010–Nov  011</oasis:entry>
         <oasis:entry colname="col4">20:00</oasis:entry>
         <oasis:entry colname="col5">45 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M969" display="inline"><mml:mrow><mml:mn mathvariant="normal">24.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Ding et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Guangzhou</oasis:entry>
         <oasis:entry colname="col3">Aug and Dec 2022</oasis:entry>
         <oasis:entry colname="col4">13:00–17:00</oasis:entry>
         <oasis:entry colname="col5">20 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M970" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Shenzhen</oasis:entry>
         <oasis:entry colname="col3">Aug and Dec 2022</oasis:entry>
         <oasis:entry colname="col4">13:00–17:00</oasis:entry>
         <oasis:entry colname="col5">20 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M971" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Zhanjiang</oasis:entry>
         <oasis:entry colname="col3">Aug and Dec 2022</oasis:entry>
         <oasis:entry colname="col4">13:00–17:00</oasis:entry>
         <oasis:entry colname="col5">20 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M972" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">Shaoguan</oasis:entry>
         <oasis:entry colname="col3">Aug and Dec 2022</oasis:entry>
         <oasis:entry colname="col4">13:00–17:00</oasis:entry>
         <oasis:entry colname="col5">20 min</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M973" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">this study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="FE1"><label>Figure E1</label><caption><p id="d2e18912">Comparison of <bold>(a)</bold> <inline-formula><mml:math id="M974" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions in <inline-formula><mml:math id="M975" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>xs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <bold>(b)</bold> <inline-formula><mml:math id="M976" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations derived from <inline-formula><mml:math id="M977" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements from previous studies and this study (<sup>∗</sup>) in various cities across European countries (Kuc et al., 2003; Levin and Rödenbeck, 2008; Molnár et al., 2010; Svetlik et al., 2010; Zimnoch et al., 2012; Lopez et al., 2013; Piotrowska et al., 2020; Zazzeri et al., 2023), United States (Turnbull et al., 2015; Newman et al., 2016; Miller et al., 2020), and China (Ding et al., 2013; Niu et al., 2016; Zhou et al., 2020; Wang et al., 2022b; Liu et al., 2024; Zhou et al., 2022). In <bold>(a)</bold>, Los Angeles, Beijing, Guangzhou, and Shenzhen are megacities, Xi'an is a supercity, and other are large and medium cities (China Population Census by County Council et al., 2022). Values in <bold>(a, b)</bold> refer to Tables E1 and E2, respectively.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f08.png"/>

      </fig>


</app>

<app id="App1.Ch1.S6">
  <label>Appendix F</label><title>HYSPLIT back trajectories and FLEXPART footprints</title>

      <fig id="FF1"><label>Figure F1</label><caption><p id="d2e19013">HYSPLIT back trajectories for a 72 h duration for Guangzhou, Shenzhen, Zhanjiang, and Shaoguan in <bold>(a)</bold> summer and <bold>(b)</bold> winter.  The trajectories reveal maritime inflow in summer and continental inflow in winter, corroborating the ERA5-based analysis. National boundaries were taken from Natural Earth (<uri>https://www.naturalearthdata.com/</uri>, last access: 9 March 2024).</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f09.png"/>

      </fig>

<fig id="FF2"><label>Figure F2</label><caption><p id="d2e19036">Annual mean <inline-formula><mml:math id="M979" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in China from four gridded inventory datasets: <bold>(a)</bold> ODIAC, <bold>(b)</bold> EDGAR, <bold>(c)</bold> MIXv2, and <bold>(d)</bold> MEIC, and FLEXPART footprints simulating <inline-formula><mml:math id="M980" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions for <bold>(e)</bold> Guangzhou (GZ), <bold>(f)</bold> Shenzhen (SZ) in winter (w) by releasing particles at the blue sampling sites at heights from 0–100 m a.s.l. over a period of 30 d. The YRD and PRD represent Yangtze River Delta and Pearl River Delta urban agglomeration labelled in <bold>(e, f)</bold>. Boundaries of nations and Chinese provinces were obtained from Natural Earth (<uri>https://www.naturalearthdata.com/</uri>, last access: 9 March 2024).</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f10.jpg"/>

      </fig>


</app>

<app id="App1.Ch1.S7">
  <label>Appendix G</label><title>Transport representativeness analysis</title>

      <fig id="FG1"><label>Figure G1</label><caption><p id="d2e19106">Box-and-whisker plots of standardized anomalies (<inline-formula><mml:math id="M981" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>) by ERA5 meteorological variables (U10, V10, T2M, SP, BLH) for <bold>(a)</bold> August 2022 vs. JJA 2022, <bold>(b)</bold> August 2022 vs. JJA climatology (2010–2022), <bold>(c)</bold> December 2022 vs. DJF 2022, and <bold>(d)</bold> December 2022 vs. DJF climatology (2010–2022) across Guangzhou sites (GZ1-10), and <bold>(e)</bold> December 2010 vs. DJF 2010, and <bold>(f)</bold> December 2010 vs. DJF climatology (2010–2022) at GZ7. U10, V10, T2M, SP, BLH are 10 m zonal and meridional winds (U10, V10), 2 m temperature (T2M), surface pressure (SP), and planetary boundary-layer height (PBLH), respectively. The shaded region denotes <inline-formula><mml:math id="M982" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>z</mml:mi><mml:mo>|</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (typical range).</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f11.png"/>

      </fig>

<fig id="FG2"><label>Figure G2</label><caption><p id="d2e19162">ERA5 wind roses for GZ7 site (wind speed unit: <inline-formula><mml:math id="M983" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) showing six panels: <bold>(a)</bold> August 2022, <bold>(b)</bold> JJA 2022, <bold>(c)</bold> JJA climatology (2010–2022), <bold>(d)</bold> December 2022, <bold>(e)</bold> DJF 2022, <bold>(f)</bold> DJF climatology (2010–2022), <bold>(g)</bold> December 2010, <bold>(h)</bold> DJF 2010, <bold>(i)</bold> DJF climatology (2010–2022). These illustrate that August 2022, December 2022, and December 2010 are consistent with their canonical summer and winter flow regimes.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f12.png"/>

      </fig>

<table-wrap id="TG1"><label>Table G1</label><caption><p id="d2e19224">December 2010 vs. December 2022 statistics of U10, V10, wind speed, T2M, PBLH, and ventilation at GZ7, including mean, standard deviation, median, and <inline-formula><mml:math id="M984" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-values from Student's <inline-formula><mml:math id="M985" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test and Mann–Whitney <inline-formula><mml:math id="M986" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> test.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">variable</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Dec 2010 </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">Dec 2022 </oasis:entry>
         <oasis:entry colname="col8">t_stat</oasis:entry>
         <oasis:entry colname="col9">t_p_value</oasis:entry>
         <oasis:entry colname="col10">mw_stat</oasis:entry>
         <oasis:entry colname="col11">mw_p_value</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3">std</oasis:entry>
         <oasis:entry colname="col4">median</oasis:entry>
         <oasis:entry colname="col5">mean</oasis:entry>
         <oasis:entry colname="col6">std</oasis:entry>
         <oasis:entry colname="col7">median</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">U10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M987" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M988" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M989" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.7</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M990" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">1.1</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M991" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M992" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M993" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">V10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M994" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M995" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M996" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M997" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">15.2</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M998" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M999" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M1000" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">wind speed</oasis:entry>
         <oasis:entry colname="col2">2.6</oasis:entry>
         <oasis:entry colname="col3">1.5</oasis:entry>
         <oasis:entry colname="col4">2.2</oasis:entry>
         <oasis:entry colname="col5">3.6</oasis:entry>
         <oasis:entry colname="col6">1.3</oasis:entry>
         <oasis:entry colname="col7">3.5</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1001" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1002" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1003" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M1004" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">T2M</oasis:entry>
         <oasis:entry colname="col2">289.0</oasis:entry>
         <oasis:entry colname="col3">5.3</oasis:entry>
         <oasis:entry colname="col4">289.6</oasis:entry>
         <oasis:entry colname="col5">287.1</oasis:entry>
         <oasis:entry colname="col6">3.1</oasis:entry>
         <oasis:entry colname="col7">286.8</oasis:entry>
         <oasis:entry colname="col8">8.6</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1005" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1006" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M1007" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PBLH</oasis:entry>
         <oasis:entry colname="col2">377.0</oasis:entry>
         <oasis:entry colname="col3">359.9</oasis:entry>
         <oasis:entry colname="col4">261.9</oasis:entry>
         <oasis:entry colname="col5">476.4</oasis:entry>
         <oasis:entry colname="col6">304.0</oasis:entry>
         <oasis:entry colname="col7">457.6</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1008" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1009" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">08</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1010" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M1011" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ventilation</oasis:entry>
         <oasis:entry colname="col2">1258.0</oasis:entry>
         <oasis:entry colname="col3">1651.0</oasis:entry>
         <oasis:entry colname="col4">578.4</oasis:entry>
         <oasis:entry colname="col5">2024.5</oasis:entry>
         <oasis:entry colname="col6">1761.7</oasis:entry>
         <oasis:entry colname="col7">1724.4</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M1012" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1013" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1014" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M1015" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TG2"><label>Table G2</label><caption><p id="d2e19925">December 2010 vs. December 2022 wind direction sector frequencies (in %) at GZ7.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Wind sector (°C)</oasis:entry>
         <oasis:entry colname="col2">Dec 2010 freq (%)</oasis:entry>
         <oasis:entry colname="col3">Dec 2022 freq (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0–45</oasis:entry>
         <oasis:entry colname="col2">61.7</oasis:entry>
         <oasis:entry colname="col3">82.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">45–90</oasis:entry>
         <oasis:entry colname="col2">12.1</oasis:entry>
         <oasis:entry colname="col3">5.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">90–135</oasis:entry>
         <oasis:entry colname="col2">7.7</oasis:entry>
         <oasis:entry colname="col3">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">135–180</oasis:entry>
         <oasis:entry colname="col2">3.0</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">180–225</oasis:entry>
         <oasis:entry colname="col2">1.2</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">225–270</oasis:entry>
         <oasis:entry colname="col2">0.4</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">270–315</oasis:entry>
         <oasis:entry colname="col2">0.9</oasis:entry>
         <oasis:entry colname="col3">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">315–360</oasis:entry>
         <oasis:entry colname="col2">13.0</oasis:entry>
         <oasis:entry colname="col3">10.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>

<app id="App1.Ch1.S8">
  <label>Appendix H</label><title>Historical comparison and corrections</title>

<table-wrap id="TH1"><label>Table H1</label><caption><p id="d2e20066">Summary of all available <inline-formula><mml:math id="M1016" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> datasets for historical variations used in this study and referenced from previous literature, including site type, coordinates, sampling period, time, number of samples (<inline-formula><mml:math id="M1017" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>), and references.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Site type</oasis:entry>
         <oasis:entry colname="col3">Site location</oasis:entry>
         <oasis:entry colname="col4">Sampling period</oasis:entry>
         <oasis:entry colname="col5">Sampling time</oasis:entry>
         <oasis:entry colname="col6">Duration</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1020" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">Urban</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">GZ7 in Fig. 1f</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">October 2010–November 2011</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">20:00</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">45 min</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">58</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">Ding et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Urban and</oasis:entry>
         <oasis:entry colname="col3">GZ1–10 in Fig. 1e, f</oasis:entry>
         <oasis:entry colname="col4">August/December 2022</oasis:entry>
         <oasis:entry colname="col5">13:00–17:00</oasis:entry>
         <oasis:entry colname="col6">20 min</oasis:entry>
         <oasis:entry colname="col7">40/40</oasis:entry>
         <oasis:entry colname="col8">This study</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">suburban</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Urban</oasis:entry>
         <oasis:entry colname="col3">RCEES<sup>a</sup> (40.02° N,</oasis:entry>
         <oasis:entry colname="col4">January–December 2014</oasis:entry>
         <oasis:entry colname="col5">10:00</oasis:entry>
         <oasis:entry colname="col6">10 min</oasis:entry>
         <oasis:entry colname="col7">24</oasis:entry>
         <oasis:entry colname="col8">Niu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">116.34° E, 15 m a.g.l.)</oasis:entry>
         <oasis:entry colname="col4">January/July 2014–2016</oasis:entry>
         <oasis:entry colname="col5">14:00–16:00</oasis:entry>
         <oasis:entry colname="col6">2 h</oasis:entry>
         <oasis:entry colname="col7">42/42</oasis:entry>
         <oasis:entry colname="col8">Zhou et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">December 2020–January 2021</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">1 h</oasis:entry>
         <oasis:entry colname="col7">31</oasis:entry>
         <oasis:entry colname="col8">Wang et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">Urban</oasis:entry>
         <oasis:entry colname="col3">IEECAS<sup>b</sup> (34.23° N,</oasis:entry>
         <oasis:entry colname="col4">2011–2013</oasis:entry>
         <oasis:entry colname="col5">afternoon</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1023" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">Zhou et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">108.89° E, 10 m a.g.l.)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">2014–2016</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">afternoon</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">–</oasis:entry>
         <oasis:entry rowsep="1" colname="col7"><inline-formula><mml:math id="M1024" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Suburban</oasis:entry>
         <oasis:entry colname="col3">two sites (34.34° N,</oasis:entry>
         <oasis:entry colname="col4">January–November 2016</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">15 min</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
         <oasis:entry colname="col8">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">108.86° E; 34.21° N,</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">108.88° E)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5"/>
         <oasis:entry rowsep="1" colname="col6"/>
         <oasis:entry rowsep="1" colname="col7"/>
         <oasis:entry rowsep="1" colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Suburban</oasis:entry>
         <oasis:entry colname="col3">Qinling Mountain</oasis:entry>
         <oasis:entry colname="col4">April 2021–Mar 2022</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">40 min</oasis:entry>
         <oasis:entry colname="col7">24</oasis:entry>
         <oasis:entry colname="col8">Liu et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(34.06° N, 108.34° E)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e20087"><sup>a</sup> Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences (RCEES). <sup>b</sup> Institute of Earth Environment, Chinese Academy of Sciences (IEECAS).</p></table-wrap-foot></table-wrap>

<table-wrap id="TH2"><label>Table H2</label><caption><p id="d2e20534">Harmonized comparison of <inline-formula><mml:math id="M1025" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions at identical sites, seasons, and sampling times, after correction to common background conditions.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Site type</oasis:entry>
         <oasis:entry colname="col3">Site location</oasis:entry>
         <oasis:entry colname="col4">Sampling period</oasis:entry>
         <oasis:entry colname="col5">Sampling time</oasis:entry>
         <oasis:entry colname="col6">Duration</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1040" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">Background</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1041" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">Corrected</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">(<inline-formula><mml:math id="M1042" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col10">(<inline-formula><mml:math id="M1043" display="inline"><mml:mrow class="unit"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">Urban</oasis:entry>
         <oasis:entry colname="col3">GZ7 (GIGCAS)<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">Winter 2010</oasis:entry>
         <oasis:entry colname="col5">20:00</oasis:entry>
         <oasis:entry colname="col6">45 min</oasis:entry>
         <oasis:entry colname="col7">3</oasis:entry>
         <oasis:entry colname="col8">remote</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1045" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1046" display="inline"><mml:mrow><mml:mn mathvariant="normal">34.9</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">4.2</mml:mn><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">regions<sup>b</sup></oasis:entry>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">Winter 2022</oasis:entry>
         <oasis:entry colname="col5">13:00–17:00</oasis:entry>
         <oasis:entry colname="col6">20 min</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">NL air</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1048" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1049" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.5</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">3.4</mml:mn><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Urban</oasis:entry>
         <oasis:entry colname="col3">RCEES (40.02° N,</oasis:entry>
         <oasis:entry colname="col4">Winter 2014–2016</oasis:entry>
         <oasis:entry colname="col5">14:00–16:00</oasis:entry>
         <oasis:entry colname="col6">2 h</oasis:entry>
         <oasis:entry colname="col7">21</oasis:entry>
         <oasis:entry colname="col8">QXL</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1050" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1051" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.6</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.3</mml:mn><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">116.34°, 15 m a.g.l.)</oasis:entry>
         <oasis:entry colname="col4">Winter 2020</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">1 h</oasis:entry>
         <oasis:entry colname="col7">31</oasis:entry>
         <oasis:entry colname="col8">WLG<sup>c</sup></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1053" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1054" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">Urban</oasis:entry>
         <oasis:entry colname="col3">IEECAS (34.23° N,</oasis:entry>
         <oasis:entry colname="col4">2011–2013</oasis:entry>
         <oasis:entry colname="col5">afternoon</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M1055" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">WLG</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1056" display="inline"><mml:mrow><mml:mn mathvariant="normal">40.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1057" display="inline"><mml:mrow><mml:mn mathvariant="normal">40.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">108.89° E, 10 m a.g.l.)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">2014–2016</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">afternoon</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">–</oasis:entry>
         <oasis:entry rowsep="1" colname="col7"><inline-formula><mml:math id="M1058" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8">WLG</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"><inline-formula><mml:math id="M1059" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col10"><inline-formula><mml:math id="M1060" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Suburban</oasis:entry>
         <oasis:entry colname="col3">two sites (34.34° N,</oasis:entry>
         <oasis:entry colname="col4">2016</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">15 min</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
         <oasis:entry colname="col8">WLG</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1061" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1062" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">108.86° E; 34.21° N,</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">108.88° E)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5"/>
         <oasis:entry rowsep="1" colname="col6"/>
         <oasis:entry rowsep="1" colname="col7"/>
         <oasis:entry rowsep="1" colname="col8"/>
         <oasis:entry rowsep="1" colname="col9"/>
         <oasis:entry rowsep="1" colname="col10"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Suburban</oasis:entry>
         <oasis:entry colname="col3">Qinling Mountain</oasis:entry>
         <oasis:entry colname="col4">2021–2022</oasis:entry>
         <oasis:entry colname="col5">14:00</oasis:entry>
         <oasis:entry colname="col6">40 min</oasis:entry>
         <oasis:entry colname="col7">24</oasis:entry>
         <oasis:entry colname="col8">WLG</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M1063" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M1064" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(34.06° N, 108.34° E)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e20548"><sup>a</sup> Guangzhou Institute of Geochemistry, Chinese Academy of Sciences (GIGCAS). <sup>b</sup> remote regions (Qinghai, Gansu, and Tibet) with <inline-formula><mml:math id="M1028" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M1029" display="inline"><mml:mrow><mml:mn mathvariant="normal">37.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>. <sup>c</sup> <inline-formula><mml:math id="M1031" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in winter Beijing obtained from Wang et al. (2022b) were estimated based on the background atmospheric <inline-formula><mml:math id="M1032" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements from Waliguan (Liu et al., 2024). <sup>d</sup> corrected to 14:00 sampling and recalculated using a common NL tree-ring <inline-formula><mml:math id="M1034" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> background as a harmonized reference baseline for inter-period comparison. The NL tree-ring <inline-formula><mml:math id="M1035" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents a growing-season (March–October) integrated proxy at Nanling, and the 2022 value (<inline-formula><mml:math id="M1036" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>) is linearly extrapolated from the 2011–2020 tree-ring record (Li et al., 2025b); it is therefore not intended to represent wintertime background variability. <sup>e</sup> recalculated using the same NL tree-ring <inline-formula><mml:math id="M1038" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> harmonized reference baseline (33.9 ‰) as in footnote d. <sup>f</sup> corrected to the WLG background.</p></table-wrap-foot></table-wrap>

<sec id="App1.Ch1.S8.SS1">
  <label>H1</label><title>Sampling-time difference (20:00 vs. 14:00) in <inline-formula><mml:math id="M1065" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for Guangzhou</title>
      <p id="d2e21485">Ding et al. (2013) collected flask samples around 20:00 LT, immediately after the evening rush hour, whereas our 2022 samples were collected between 13:00 and 17:00 LT under well-mixed boundary-layer conditions. To quantify the potential diurnal <inline-formula><mml:math id="M1066" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bias, we used continuous CO observations near GZ7 from two independent sources: (1) the Guangdong Provincial Environmental Monitoring Centre and (2) the nationwide air quality database (<uri>https://quotsoft.net/air/#messy</uri>, last access: 18 October 2025), and applied the formulation

            <disp-formula id="App1.Ch1.S8.E16" content-type="numbered"><label>H1</label><mml:math id="M1067" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>ff</mml:mtext></mml:msub><mml:mo>≈</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M1068" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mtext>bg</mml:mtext></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M1069" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> denotes the concentration ratio between CO and fossil-fuel <inline-formula><mml:math id="M1070" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The value of <inline-formula><mml:math id="M1071" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is strongly time-dependent and source-specific. Nighttime <inline-formula><mml:math id="M1072" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> values tend to be higher than daytime values because (i) nighttime emissions are dominated by direct fossil-fuel combustion while biogenic <inline-formula><mml:math id="M1073" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources (e.g., respiration) remain constant but emit no CO, and (ii) oxidative sinks (e.g., OH radicals) are weaker at night. Therefore, applying an afternoon-derived <inline-formula><mml:math id="M1074" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> to nighttime data likely provides a lower bound for the actual nighttime <inline-formula><mml:math id="M1075" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancement.</p>
<sec id="App1.Ch1.S8.SS1.SSSx1" specific-use="unnumbered">
  <title>Scheme 1 (this study's observation, December 2022)</title>
      <p id="d2e21640">We used the December diurnal mean CO data at a site close to GZ7, subtracted the NL background to obtain <inline-formula><mml:math id="M1076" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, and divided by the afternoon-specific <inline-formula><mml:math id="M1077" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (derived from the regression between <inline-formula><mml:math id="M1078" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M1079" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-based <inline-formula><mml:math id="M1080" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M1081" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> increased from 168.3 ppb at 14:00 to 220.7 ppb at 20:00, corresponding to an estimated nighttime <inline-formula><mml:math id="M1082" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancement of approximately 3.2 ppm, or about 21 % higher than the afternoon value. Because the slope <inline-formula><mml:math id="M1083" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> was determined during well-mixed afternoon periods, this result likely represents a lower limit; the actual nighttime–afternoon <inline-formula><mml:math id="M1084" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contrast may be smaller.</p>
</sec>
<sec id="App1.Ch1.S8.SS1.SSSx2" specific-use="unnumbered">
  <title>Scheme 2 (Guangzhou dataset, winter 2023, supplementary analysis)</title>
      <p id="d2e21769">We applied the same approach to the continuous CO data at the site close to GZ7 for the winter season (December 2023 –February 2024). After subtracting the NL background, <inline-formula><mml:math id="M1085" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> was divided by the seasonal <inline-formula><mml:math id="M1086" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9.08</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> obtained from regressions of CO against total <inline-formula><mml:math id="M1087" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Zhang et al., 2026). As this <inline-formula><mml:math id="M1088" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> reflects bulk <inline-formula><mml:math id="M1089" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rather than specifically fossil-fuel <inline-formula><mml:math id="M1090" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we applied an empirical correction (dividing <inline-formula><mml:math id="M1091" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> by 0.8; Turnbull et al., 2011). The resulting analysis indicates that <inline-formula><mml:math id="M1092" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> increased by 66.9 ppb from 14:00–20:00, implying a <inline-formula><mml:math id="M1093" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancement difference of roughly 5.9 ppm (<inline-formula><mml:math id="M1094" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e21891">Overall, while continuous <inline-formula><mml:math id="M1095" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> data are not available for 2022, our CO-based analysis suggests that the <inline-formula><mml:math id="M1096" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> signal at 20:00 is moderately higher than that at 14:00. This finding is consistent with the reviewer's expectation that post–rush-hour conditions retain a stronger fossil-fuel signature compared with the well-mixed afternoon atmosphere. The semi-quantitative assessment indicates that the <inline-formula><mml:math id="M1097" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration during post–rush-hour (20:00) is approximately 21 %–35 % higher than during well-mixed afternoon periods, consistent with the expected diurnal accumulation of fossil-fuel <inline-formula><mml:math id="M1098" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under weaker nighttime boundary-layer mixing.</p>
</sec>
</sec>
</app>

<app id="App1.Ch1.S9">
  <label>Appendix I</label><title>Comparison of contributions of coal, oil and natural gas to <inline-formula><mml:math id="M1099" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in various cities</title>

<table-wrap id="TI1"><label>Table I1</label><caption><p id="d2e21968">Comparison of contributions of coal, oil and natural gas to <inline-formula><mml:math id="M1100" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in various cities.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Time</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1101" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>coal</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1102" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>oil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1103" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>ng</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>
         <oasis:entry colname="col6">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Paris</oasis:entry>
         <oasis:entry colname="col2">2010</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1104" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
         <oasis:entry colname="col5">70</oasis:entry>
         <oasis:entry colname="col6">Lopez et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">Oct 2007</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1105" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">69</oasis:entry>
         <oasis:entry colname="col5">31</oasis:entry>
         <oasis:entry colname="col6">Djuricin et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">Dec 2007</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1106" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">61</oasis:entry>
         <oasis:entry colname="col5">39</oasis:entry>
         <oasis:entry colname="col6">Djuricin et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">Feb 2008</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1107" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">58</oasis:entry>
         <oasis:entry colname="col5">42</oasis:entry>
         <oasis:entry colname="col6">Djuricin et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">Apr 2008</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1108" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">52</oasis:entry>
         <oasis:entry colname="col5">48</oasis:entry>
         <oasis:entry colname="col6">Djuricin et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">2006–2013 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1109" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">68</oasis:entry>
         <oasis:entry colname="col5">32</oasis:entry>
         <oasis:entry colname="col6">Newman et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Los Angeles</oasis:entry>
         <oasis:entry colname="col2">2006–2013 summer</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1110" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">55</oasis:entry>
         <oasis:entry colname="col5">45</oasis:entry>
         <oasis:entry colname="col6">Newman et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">2014 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1111" display="inline"><mml:mrow><mml:mn mathvariant="normal">72.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1112" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">13.6</oasis:entry>
         <oasis:entry colname="col6">Zhou et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">Dec 2019–Jan 2020</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1113" display="inline"><mml:mrow><mml:mn mathvariant="normal">54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1114" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1115" display="inline"><mml:mrow><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Dec 2020–Jan 2021</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1116" display="inline"><mml:mrow><mml:mn mathvariant="normal">17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1117" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1118" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Wang et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1119" display="inline"><mml:mrow><mml:mn mathvariant="normal">49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1120" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1121" display="inline"><mml:mrow><mml:mn mathvariant="normal">22</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shenzhen</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1122" display="inline"><mml:mrow><mml:mn mathvariant="normal">47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1123" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1124" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zhanjiang</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1125" display="inline"><mml:mrow><mml:mn mathvariant="normal">43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1126" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1127" display="inline"><mml:mrow><mml:mn mathvariant="normal">28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shaoguan</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1128" display="inline"><mml:mrow><mml:mn mathvariant="normal">39</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M1129" display="inline"><mml:mrow><mml:mn mathvariant="normal">34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M1130" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>

<app id="App1.Ch1.S10">
  <label>Appendix J</label><title><inline-formula><mml:math id="M1131" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for sites, cities and comparison</title>

      <fig id="FJ1"><label>Figure J1</label><caption><p id="d2e22660"><inline-formula><mml:math id="M1132" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> averages at the 30 sampling sites. Error bars denote <inline-formula><mml:math id="M1133" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>SD</mml:mtext></mml:mrow></mml:math></inline-formula> of the seasonal <inline-formula><mml:math id="M1134" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratios at each site.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f13.png"/>

      </fig>

      <fig id="FJ2"><label>Figure J2</label><caption><p id="d2e22733"><inline-formula><mml:math id="M1135" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> : <inline-formula><mml:math id="M1136" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for Guangzhou, Shenzhen, Zhanjiang, and Shaoguan in winter. Vertical and horizontal error bars denote the propagated uncertainties in <inline-formula><mml:math id="M1137" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and CO, respectively, propagated from their measurement and calculation uncertainties.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5085/2026/acp-26-5085-2026-f14.png"/>

      </fig>

<table-wrap id="TJ1"><label>Table J1</label><caption><p id="d2e22782">Observational concentration ratios of CO to <inline-formula><mml:math id="M1138" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">ff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M1139" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) for China and Chinese cities.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Time</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1144" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ff</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M1145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Method<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">2001</oasis:entry>
         <oasis:entry colname="col3">68.8</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Suntharalingam et al. (2004)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">2004–2010</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1147" display="inline"><mml:mrow><mml:mn mathvariant="normal">44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Turnbull et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">1998</oasis:entry>
         <oasis:entry colname="col3">56.3</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Tohjima et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China</oasis:entry>
         <oasis:entry colname="col2">2010</oasis:entry>
         <oasis:entry colname="col3">37.5</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Tohjima et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mainland China</oasis:entry>
         <oasis:entry colname="col2">2009</oasis:entry>
         <oasis:entry colname="col3">36.3</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Fu et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Yellow Sea</oasis:entry>
         <oasis:entry colname="col2">2016</oasis:entry>
         <oasis:entry colname="col3">35.0</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Tang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China, CN<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">2014–2016</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1149" display="inline"><mml:mrow><mml:mn mathvariant="normal">31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Lee et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China, CE<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">2014–2016</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1151" display="inline"><mml:mrow><mml:mn mathvariant="normal">36</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Lee et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China, CB<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">2014–2016</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1153" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Lee et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">China, OB<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">2014–2016</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1155" display="inline"><mml:mrow><mml:mn mathvariant="normal">31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Lee et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">2005</oasis:entry>
         <oasis:entry colname="col3">54.3</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Han et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing/Tianjin</oasis:entry>
         <oasis:entry colname="col2">2009–2010</oasis:entry>
         <oasis:entry colname="col3">59.5</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Silva et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1156" display="inline"><mml:mrow><mml:mn mathvariant="normal">30.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Niu et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2004</oasis:entry>
         <oasis:entry colname="col3">72.3</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2005</oasis:entry>
         <oasis:entry colname="col3">52.5</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2006</oasis:entry>
         <oasis:entry colname="col3">48.1</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2007</oasis:entry>
         <oasis:entry colname="col3">43.7</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2008</oasis:entry>
         <oasis:entry colname="col3">47.0</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rural Beijing</oasis:entry>
         <oasis:entry colname="col2">2009–2010</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1157" display="inline"><mml:mrow><mml:mn mathvariant="normal">47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Turnbull et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xi'an</oasis:entry>
         <oasis:entry colname="col2">2016</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1158" display="inline"><mml:mrow><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Near Xi'an</oasis:entry>
         <oasis:entry colname="col2">2021</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1159" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Liu et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xiamen</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1160" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Niu et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">2009–2010</oasis:entry>
         <oasis:entry colname="col3">35.8</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Silva et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">2014–2017 winter</oasis:entry>
         <oasis:entry colname="col3">23.8</oasis:entry>
         <oasis:entry colname="col4">I</oasis:entry>
         <oasis:entry colname="col5">Mai et al. (2021)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1161" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Fig. J2, this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shenzhen</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1162" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Fig. J2, this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zhanjiang</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1163" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Fig. J2, this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shaoguan</oasis:entry>
         <oasis:entry colname="col2">2022 winter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M1164" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">II</oasis:entry>
         <oasis:entry colname="col5">Fig. J2, this study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e22820"><sup>a</sup> by correction from <inline-formula><mml:math id="M1141" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> by increased 20 % (Method I) and estimation from <inline-formula><mml:math id="M1142" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> measurements (Method II), <sup>b</sup> CN represents the air masses from northeast China, CE for central eastern China around the Shandong area, CB for continental background air, and OB for ocean background.</p></table-wrap-foot></table-wrap>


</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e23656">The FLEXPART 10.4 model is available at <uri>https://www.flexpart.eu/</uri> (last access: 22 January 2024). The MixSIAR 3.1.12 model is available via GitHub at <uri>https://brianstock.github.io/MixSIAR/index.html</uri> (last access: 15 April 2024). The HYSPLIT model is available at <uri>https://www.arl.noaa.gov/hysplit/</uri> (last access: 22 January 2024). In this study, commercial software such as MATLAB R2023a, and public software such as R 4.3.2 and Python 3.9 are used for data processing and result visualization.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e23671">Data generated in this study are available in Dataset 1 in the Supplement and seasonal averages in Table A1. Additional data related to this paper may be requested from the corresponding authors. The Carnegie Ames Stanford Approach Global Fire Emissions Database Version 4 (CASA-GFED4s) dataset is available at <uri>https://daac.ornl.gov/VEGETATION/guides/fire_emissions_v4_R1.html</uri> (last access: 22 January 2024). The CASA-GFED3 dataset is available at <uri>http://nacp-files.nacarbon.org/nacp-kawa-01/</uri> (last access: 22 January 2024). The Open-source Data Inventory for Anthropogenic <inline-formula><mml:math id="M1165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ODIAC) is available from <uri>https://db.cger.nies.go.jp/dataset/ODIAC/</uri> (last access: 22 January 2024). The Emissions Database for Global Atmospheric Research (EDGAR) Global Greenhouse Gas and Air Pollutant Emissions are from <uri>https://edgar.jrc.ec.europa.eu</uri> (last access: 22 January 2024). The Multi-resolution Emission Inventory for China (MEIC) and the Open Biomass Burning Emission Inventory for China (OBBEIC) are available from <uri>http://meicmodel.org.cn</uri> (last access: 22 January 2024). The MIXv2 Asian emission inventory (MIXv2) is available from <uri>https://csl.noaa.gov/groups/csl4/modeldata/data/Li2023/</uri> (last access: 22 January 2024) The National Centers for Environmental Prediction's Climate Forecast System (CFSv2) Reanalysis data that drive the FLEXPART model is available at <uri>https://rda.ucar.edu/datasets/ds094.0/</uri> (last access: 22 January 2024). The National Centers for Environmental Prediction's Global Data Assimilation System (GDAS) Reanalysis data that drives the HYSPLIT model is available at <uri>ftp://arl.noaa.gov/pub/archives/reanalysis</uri> (last access: 22 January 2024).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e23710">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-5085-2026-supplement" xlink:title="zip">https://doi.org/10.5194/acp-26-5085-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e23719">G.Z., D.C., Jun Li, and P.L. conceived and designed the study. Almost all authors participated in the sampling organized by Jun Li and P.L.. Z.N.  provided data in Beijing and Xi'an. P.D. provided data from Ding et al. (2013) in Guangzhou. R.L. conducted the sample graphitization. Sanyuan Z.  handled the <inline-formula><mml:math id="M1166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measurement by AMS. P.L. and B.L. performed the simulations. P.L. conducted the data search and analysis, and wrote the article, with contributions from G.Z., Jun Li, Z.C., Jing L., and T.Z. for revisions and improvements.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e23737">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e23743">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e23749">We gratefully acknowledge the research team from Gan Zhang's group for their essential support in air sampling, including staff scientists, postdoctoral researchers, and graduate students. Special thanks are extended to Jiangtao Li for his dedicated assistance with field sampling and laboratory extraction procedures. We also thank the handling editor and the anonymous reviewers for their helpful and constructive comments on the manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e23754">This study was supported by the National Natural Science Foundation of China (NSFC; nos. 42330715, 42103082, 42030715, and 42177241), Guangdong Provincial Applied Science and Technology Research and Development Program (grant-nos.: 2022A1515011271, and 2022A1515011851), the Alliance of International Science Organizations (grant-no.: ANSO-CR-KP-2021-05), China Postdoctoral Science Foundation (grant-no.: 2022T150652), Special Research Assistant Program of the Chinese Academy of Sciences (CAS), and Director's Fund of Guangzhou Institute of Geochemistry, CAS (grant-no.: 2021SZJJ-3).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e23760">This paper was edited by Jan Kaiser and reviewed by three anonymous referees.</p>
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