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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-23-10075-2023</article-id><title-group><article-title>The underappreciated role of transboundary pollution in future air quality and health improvements in China</article-title><alt-title>The underappreciated role of transboundary pollution in China's future​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{The underappreciated role of transboundary pollution in China's future​​​​​​​}?><?xmltex \runningauthor{J.-W. Xu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xu</surname><given-names>Jun-Wei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lin</surname><given-names>Jintai</given-names></name>
          <email>linjt@pku.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-2362-2940</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Tong</surname><given-names>Dan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Lulu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8929-3414</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Laboratory for Climate and Ocean–Atmosphere Studies, Department of
Atmospheric and Oceanic Sciences, School of Physics, Peking University,
Beijing, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth System Science, Ministry of Education Key
Laboratory for Earth System Modelling, Tsinghua University, Beijing, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jintai Lin (linjt@pku.edu.cn)</corresp></author-notes><pub-date><day>8</day><month>September</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>17</issue>
      <fpage>10075</fpage><lpage>10089</lpage>
      <history>
        <date date-type="received"><day>29</day><month>January</month><year>2023</year></date>
           <date date-type="rev-request"><day>17</day><month>February</month><year>2023</year></date>
           <date date-type="rev-recd"><day>1</day><month>August</month><year>2023</year></date>
           <date date-type="accepted"><day>2</day><month>August</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e115">Studies assessing the achievability of future air quality goals in China have focused on the role of reducing China's domestic emissions, yet the influence of transboundary pollution of foreign origins has been largely underappreciated. Here, we assess the extent to which future changes in foreign transboundary pollution would affect the achievability of air quality goals in 2030 and 2060 for China. We find that in 2030, under the current-policy scenario in China, transboundary contributions to
population-weighted PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China would be reduced by 29 % (1.2 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) as foreign countries transition from the fossil-fuel-intensive to the low-carbon pathway. By 2060, the difference would be increased to 45 % (1.8 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Adopting the low-carbon instead of the fossil-fuel-intensive pathway in foreign countries would prevent 10 million Chinese people from being exposed to PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations above China's ambient air quality standard (35 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in 2030 and 5 million Chinese people from being exposed to PM<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations above the World Health Organization air quality guideline (5 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in 2060. Meanwhile, China adopting the carbon-neutral pathway rather than its current pathway would also be helpful
to reduce transboundary PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> produced from the chemical interactions
between foreign-transported and locally emitted pollutants. In 2060,
adopting a low-carbon pathway in China and foreign countries coincidently
would prevent 63 % of transboundary pollution and 386 000 associated
premature deaths in China, relative to adopting a fossil-fuel-intensive
pathway in both regions. Thus, the influence of transboundary pollution
should be carefully considered when making future air quality expectations
and pollution mitigation strategies.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42075175</award-id>
</award-group>
<award-group id="gs2">
<funding-source>China Postdoctoral Science Foundation</funding-source>
<award-id>2021M700191</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="d1e245">Long-term exposure to ambient fine particulate matter (PM<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, particulate matter smaller than 2.5 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m in aerodynamic diameter) is
the largest environmental risk factor for human health, with an estimated
4.1 million attributable deaths worldwide (7.3 % of the number of global
deaths in 2019; GBD 2019 Risk Factors Collaborators, 2020). Countries have
taken diverse actions to improve air quality and public health, including
setting ambitious future air quality and/or climate goals. The European
Commission set the 2030 air quality goal as reducing the number of
PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-attributable premature deaths by at least 55 % compared with
2005 levels, equivalent to reducing PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations to below 10 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> EU-wide (European Commission, 2022). The United States aims for a 50 %–52 % reduction of greenhouse gas emissions relative to 2005 levels by 2030, which would prevent tens of thousands of premature deaths associated with PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as a co-benefit
(Burtraw et al., 2022). However, the
achievability of air quality goals or the extent of health co-benefits of
climate strategies is subject to large uncertainties as it is affected by a
wide range of factors such as the domestic and global socioeconomic
development pathways, energy choices, and air pollution control measures
(Cheng et al., 2021b; O'Neill et al., 2020; Rao et al., 2017).</p>
      <?pagebreak page10076?><p id="d1e313">China is a key country to examine factors affecting the achievability of
future air quality goals. On the one hand, China suffers from serious air
pollution and adverse health effects, with more than a quarter of the
world's total PM<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated premature deaths in 2015 estimated to
occur in China (Zhang et al., 2019). Despite remarkable achievements of the 5-year Clean Air Action since 2013 (Zhang
et al., 2019; Zheng et al., 2018a), annual mean PM<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in
China still exceeded the newly revised World Health Organization (WHO) air
quality guideline (AQG; 5 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; WHO, 2021) by 8 times by the end of the Clean Air Action in 2017. On the
other hand, China has set the most challenging air quality and climate goals
among all the developing countries in the world
(Ascensão et al., 2018). In 2018, the Chinese
government proposed the roadmap for the Beautiful China Initiative
(The State Council of the People's Republic of China, 2016),
which requires all cities to achieve the national ambient air quality
standards (NAAQS, 35 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) between 2030 and 2035
(The State Council of the People's Republic of China,
2016). In 2019, China further announced an ambitious climate commitment to
achieve carbon neutrality by 2060. These policies have been regarded as
interim steps towards the WHO AQG. Therefore, investigating potential
pathways and factors shaping the future air quality in China could provide
an excellent reference for other countries facing the dual challenges of
economic development and environmental protection.</p>
      <p id="d1e375">A number of studies seek to answer whether the air quality goals in China
can be achieved in the future. These studies have been primarily focused on
potential mitigation pathways to reduce China's domestic emissions.
Cheng et al. (2021b) found that the nation's current emission control measures could reduce China's PM<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels to below 30 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> by 2030, yet the benefits of such measures would be mostly exhausted by then (Cheng et al., 2021b; Xing et al., 2020).
Xing et al. (2020) and Tang et al. (2022) suggested that the co-benefits of
climate targets alone (even the most ambitious target of 1.5 <inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
limit in global warming) were not able to help China achieve the 35 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> target by 2035. Instead, Cheng et al. (2021b) proposed that a combination of stringent clean air policies and ambitious climate targets (i.e., carbon neutrality by 2060 or a global warming limit of 1.5 <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) could successfully reduce PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> to below 35 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> by 2030 and to below 10 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (WHO
interim target 4) by 2060. This would require a fundamental transformation
of China's economic–environmental development pathway by phasing out
polluting industries and moving towards renewable energy while implementing
strict end-of-pipe emission control.</p>
      <p id="d1e496">However, these previous studies have largely neglected how the future
changes in foreign transboundary pollution would affect air quality in
China, likely due to the perception that the relatively short lifetime of
PM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (a few days) does not permit long-distance transport. This
negligence would put into question the confidence of their estimated
achievability of air quality goals in China. Due to large uncertainties in
the future socioeconomic development pathways, environmental commitments,
financial support and technology capabilities, future emissions from
China's neighboring countries might be highly variable, leading to different
levels of transboundary impacts to China's air quality. For example,
emissions in South Asia, Central Asia and Southeast Asia have been estimated
to increase in the future by various projections
(International Energy Agency, 2021;
Koplitz et al., 2017), due to their rapid economic growth and a lack of
clear commitments on energy choices, climate actions and air pollution
control efforts. In this case, transboundary pollution from neighboring
countries to China could potentially become increasingly important and affect
the achievability of air quality goals in China. Alternatively, these
surrounding countries may undergo a sustainable development pathway,
facilitated in part by external financial aid and technology support,
leading to lowered transboundary pollution to China. Thus, the different
prospects of transboundary pollution could be a significant yet highly
uncertain factor in the achievement of future air quality goals in China.</p>
      <p id="d1e509">In addition, the mechanism of transboundary pollution poses additional
complexity to its impacts on China's air quality. Foreign emissions can
affect air quality in China through direct transboundary transport in the
atmosphere. Moreover, portions of foreign-transported pollution can also
interact chemically with China's locally emitted pollutants.
Xu et al. (2023) found that the transport and
transformation of non-methane volatile organic compounds (NMVOCs) from
foreign countries could enhance the atmospheric oxidizing capacity and
facilitate the oxidation of Chinese nitrogen oxides (NO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) to form nitric
acid (HNO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and nitrate over northern China (referred to as eastern China in that study), leading to considerable foreign contributions to China's air
pollution.</p>
      <p id="d1e530">The chemical interactions mean that the extent of transboundary pollution
will depend on emission changes in China as well. Therefore, the influence
of transboundary pollution on China's air quality in the future is a complex
result of future emissions in China and in foreign countries, along with
their interactions. However, whether the changes in transboundary pollution
via direct transport and chemical interactions could affect the achievement
of future air quality goals in China and to what extent the influence could
be remain poorly understood.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e536">Description of future scenario settings.</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="justify" colwidth="2cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="1.9cm"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="6.7cm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Scenarios</oasis:entry>
         <oasis:entry colname="col2">Socioeconomic</oasis:entry>
         <oasis:entry colname="col3">Climate</oasis:entry>
         <oasis:entry colname="col4">Pollution</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Key features</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">pathway</oasis:entry>
         <oasis:entry colname="col3">target</oasis:entry>
         <oasis:entry colname="col4">control</oasis:entry>
         <oasis:entry colname="col5">emission</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">strength</oasis:entry>
         <oasis:entry colname="col5">level</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col6">Foreign </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SSP119</oasis:entry>
         <oasis:entry colname="col2">Sustainability</oasis:entry>
         <oasis:entry colname="col3">1.9 W m<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(1.5 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4">Strong</oasis:entry>
         <oasis:entry colname="col5">Low</oasis:entry>
         <oasis:entry colname="col6">Strong economic growth via sustainable pathway. Incomes increase substantially, and inequality within and between countries is greatly decreased. There is significantly lower demand for energy- and resource-intensive agricultural commodities. Effective pollution controls result in substantial reductions in air pollutant emissions.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SSP245</oasis:entry>
         <oasis:entry colname="col2">Middle of the road</oasis:entry>
         <oasis:entry colname="col3">4.5 W m<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(3 <inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4">Medium</oasis:entry>
         <oasis:entry colname="col5">Medium</oasis:entry>
         <oasis:entry colname="col6">An intermediate case exists between SSP1 and SSP3.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SSP370</oasis:entry>
         <oasis:entry colname="col2">Regional rivalry</oasis:entry>
         <oasis:entry colname="col3">7.0 W m<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M47" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4">Weak</oasis:entry>
         <oasis:entry colname="col5">High</oasis:entry>
         <oasis:entry colname="col6">High inequity exists between countries. GDP growth is low and concentrated in current high-income nations, while population growth is focused in low- and middle-income countries. Energy system is coal-intensive. The implementation of pollution controls is delayed and less effective.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col6">China </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Current policy</oasis:entry>
         <oasis:entry colname="col2">Middle of the road (SSP2)</oasis:entry>
         <oasis:entry colname="col3">4.5 W m<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>(3 <inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4">Medium</oasis:entry>
         <oasis:entry colname="col5">Medium</oasis:entry>
         <oasis:entry colname="col6">Achieve China's Nationally Determined Contribution (NDC) pledges and the national PM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> air quality standard (i.e., 35 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) by 2030, elucidating China's future air pollution mitigation pathway towards all the released and determined upcoming clean air policies since 2015.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Carbon neutral</oasis:entry>
         <oasis:entry colname="col2">Sustainability (SSP1)</oasis:entry>
         <oasis:entry colname="col3">Net-zero CO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>emissions in <?xmltex \hack{\hfill\break}?>2060</oasis:entry>
         <oasis:entry colname="col4">Strong</oasis:entry>
         <oasis:entry colname="col5">Low</oasis:entry>
         <oasis:entry colname="col6">Pursue China's carbon-neutral commitment and the WHO's old PM<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> guideline (10 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) by 2060. It implements the best-available end-of-pipe technologies and more stringent pollution control policies than the current policy.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <p id="d1e924">Here, we assess the potential influences that transboundary pollution could
make on the achievement of future air quality goals in China, considering
the changes in direct pollution transport and in the interactions between
transported and China's locally emitted pollution. We regard the air quality
goal stated in the Beautiful China Initiative, which is that all cities have
annual mean PM<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations below 35 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> between
2030–2035 (The State Council of the People's Republic of China, 2016), as China's 2030 air quality goal. We also regard the WHO AQG (annual mean PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> below 5 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) as China's
2060 air quality goal. We<?pagebreak page10077?> then discuss the likelihood of the achievement
under currently proposed development pathways in China and foreign
countries. As detailed in the Method section, given the large uncertainties on future emissions of a country (Rao et al., 2017), we consider three anthropogenic emission scenarios in the Shared Socioeconomic Pathways Representative Concentration Pathways  (low: SSP119, medium: SSP245, and high: SSP370; O'Neill et al.,
2014) for foreign countries and two anthropogenic emission scenarios
(current-policy and carbon-neutral scenarios; Cheng
et al., 2021b; Tong et al., 2020) for China (Table 1), so as to understand
transboundary pollution in China from the present (2015) to the future (2030
and 2060) under a wide range of plausible futures. We do not consider the
effects of physical climate change (e.g., temperature and precipitation) on
future transboundary pollution because Liu et al. (2021) found that future PM<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> changes in China driven by anthropogenic
emission reduction were 7 times more than the changes due to meteorological
fields by 2050 in both SSP126 and SSP585 scenarios. Other studies have also
indicated that the impacts of climate change on future PM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were smaller
than those of anthropogenic emissions of pollutants (Hong
et al., 2019; Jiang et al., 2013; Silva et al., 2017).</p>
      <?pagebreak page10078?><p id="d1e1004">For each combination of foreign and Chinese anthropogenic emission
scenarios, we simulate PM<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations at a 0.5<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M68" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.625<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution using a chemical transport model (GEOS-Chem; <uri>http://www.geos-chem.org</uri>, last access: 6 September 2023) that can represent the complex pollutant emissions
and chemical reactions across a large spatial domain. Then, we correct the
systematic bias in the model simulated PM<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations using a
large set of ground-based observations of PM<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China; the same
correction factor is applied to all present and future concentrations.
Finally, we quantify the transboundary impacts on Chinese PM<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> under
each emission scenario. We further quantify the corresponding transboundary
impacts on public health in China, measured by premature deaths, using
socio-demographic projections consistent with SSPs and the state-of-the-art
concentration–response relationships (the Global Exposure Mortality Model, GEMM, model;
Burnett et al., 2018).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Method</title>
      <p id="d1e1080">In this study, we use a set of data and models to investigate future air
quality and health burden in China. Projected air pollutant emissions for
foreign countries under SSP–RCP (representative
concentration pathway) scenarios are obtained from the
International Institute for Applied Systems Analysis (IIASA; Rao et
al., 2017; Riahi et al., 2017) with updates on base year emissions and the
harmonization year in this study. Projected air pollutant emissions for
China are developed by Tong et al. (2020) and Cheng et al. (2021b).
Ambient PM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under each scenario are simulated by the
GEOS-Chem chemical transport model (<uri>http://www.geos-chem.org</uri>) and further corrected for systematic bias by a suite of ground-based observations
(Xu et al., 2023). PM<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated mortalities are
calculated using the Global Exposure Mortality Model (GEMM; Burnett
et al., 2018).</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Scenarios of future anthropogenic air pollutant emissions</title>
      <p id="d1e1111">The future pollutant emission outcome is a cumulative result of a range of
variables including socio-economic development, technological change,
efficiency improvements and policies directed at pollution control as well
as alternative concerns including climate change, energy access and
agricultural production (Rao et al., 2017).
The shared socioeconomic pathways (SSPs) include five distinctly
different pathways about how the future might unfold in terms of major
socioeconomic, demographic, technological, lifestyle, policy and
institutional trends (O'Neill
et al., 2014; van Vuuren et al., 2017). We select three scenarios to
represent low-, medium- and high-emission cases: SSP1 – sustainability, SSP2 – middle of the road and SSP3 – regional rivalry. An assumption about the degree of air pollution control (strong, medium or weak) is included on top of the baseline pathway. Weak air pollution controls occur in SSP3, with medium controls in SSP2 and strong controls in SSP1 (Turnock et al.,
2020). However, SSP scenarios do not include explicit climate policies
(O'Neill et al., 2020). Instead, the RCPs generate climate projections targeting at a
range of climate forcing levels, such as 1.9 W m<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (1.5 <inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
warming), 4.5 W m<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (3 <inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and 7.0 W m<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (4 <inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) in 2100. Thus, the combination of SSP–RCP scenario framework depicts societal
and climate futures in parallel and explores plausible futures of human
activities, the changing climate and emissions
(O'Neill et al., 2020).</p>
      <p id="d1e1169"><?xmltex \hack{\newpage}?>Here, we use anthropogenic aerosol emissions projected under SSP–RCP
scenarios for foreign countries. We select three scenarios to represent low,
middle and high air pollutant emissions in plausible futures: SSP119 (a
sustainable development pathway targeting at a rise of the global mean
surface temperature below 1.5 <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C from the pre-industrial levels by
the end of the century), SSP245 (a business-as-usual development pathway
with 3 <inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming) and SSP370 (a regional-rivalry development pathway with 4 <inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming). Table 1 summarizes the scenario settings in more detail.</p>
      <p id="d1e1200">The original SSP–RCP anthropogenic emission future projection starts from
2015. Here, we update the start year to 2019, which is the latest year that
anthropogenic emissions from the Community Emissions Data System (CEDS;
Hoesly et al., 2018) are
available. Because CEDS historical emissions and SSP–RCP future emissions
were developed upon different assumptions and methods, it is important to
harmonize the two datasets to ensure smooth transitions between the two
sets of emission trajectories (Gidden et al.,
2019). The update of the harmonization year from 2015 to 2019 in this study
could better represent the actual emission trajectory between 2015 and 2019.
We also use the most recently developed CEDS version 2
(<uri>https://data.pnnl.gov/dataset/CEDS-4-21-21</uri>, last access: 6 September 2023; Smith et al., 2023​​​​​​​) to harmonize the future SSP–RCP emission projections as the new emissions can better represent the historical trend of pollutant emissions
(<uri>https://github.com/JGCRI/CEDS/blob/master/documentation/Version_comparison_figures_v_2021_04_21_vs_v_2016_07_16(CMIP6).pdf</uri>, last access: 6 September 2023). The
final future SSP–RCP emissions for foreign countries used in this study are
presented in Fig. S1a in the Supplement.</p>
      <?pagebreak page10079?><p id="d1e1209">Future scenarios of anthropogenic pollutant emissions for China were
developed by Tong et al. (2020) and Cheng et al. (2021b). We adopt these emissions instead of SSP–RCP emissions because Tong et al. (2020) and Cheng et al. (2021b) developed the emissions specifically to meet China's recent climate goals (i.e., 2030 carbon peak and 2060 carbon neutrality) and used
parameters (e.g., emission factors, energy use) to reflect the most
up-to-date pollutant control policies (i.e., the Clean Air Action since 2013)
and technologies in China. Their emissions have been suggested to better
capture China's PM<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration decline during 2015–2019 than
those driven by SSP–RCP emissions (Cheng et al., 2021a). We select
two plausible scenarios: the current-policy scenario and the carbon-neutral
scenario. The current-policy scenario seeks to achieve China's Nationally Determined Contribution (NDC) pledges
and the national PM<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> air quality goal (i.e., 35 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) by 2030, elucidating China's future air pollution mitigation pathway towards
all the released and determined upcoming clean air policies since 2015. The
carbon-neutral scenario pursues China's carbon-neutral commitment and the
WHO's old PM<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> guideline (10 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) by 2060. It implements
the best-available end-of-pipe technologies and more stringent pollution
control policies than the current-policy scenario. Future anthropogenic
pollutant emissions for China under these scenarios are developed by firstly
simulating China's future energy and socioeconomic evolution using the
Global Change Assessment Model (GCAM-China) and then translating it into
pollutant emissions by the Dynamic Projection model for Emissions in China
(DPEC; Tong et al.,
2020). More details are summarized in Table 1. The actual future air
pollutant emissions for China used in this study are presented in Fig. S1b.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><?xmltex \opttitle{Simulations of ambient PM${}_{{2.5}}$ concentrations}?><title>Simulations of ambient PM<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations</title>
      <p id="d1e1298">We use the GEOS-Chem model to simulate PM<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China
and other Asian countries under each emission scenario and year. Detailed
descriptions of the model configurations can be found in
Xu et al. (2023). Briefly, we use the flex-grid
capability of the GEOS-Chem classic model v13.2.1 to simulate PM<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations over Asia and its adjacent regions (11<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–60<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 30–150<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; covering the entire
Asia, eastern Africa and eastern Europe regions). We use MERRA-2-assimilated
meteorological data provided by the Global Modeling and Assimilation Office
(GMAO) at the NASA Goddard Space Flight Center to drive the model. Our
simulation is conducted at a horizontal resolution of 0.5<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
latitude <inline-formula><mml:math id="M98" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.625<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude with 47 vertical levels
between the surface and <inline-formula><mml:math id="M100" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.01 hPa. Chemical boundary conditions are
taken from corresponding global simulations under each emission scenario in
Table 2 at a resolution of 2<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M102" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
longitude. The regeneration of boundary conditions under each emission
scenario could ensure the inclusion of pollution transported from countries
both within and outside the flex-grid domain as transboundary pollution to
China. We spin up every simulation for 1 month to remove the effects of
initial conditions.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1408">Simulation configurations.</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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Simulation type</oasis:entry>

         <oasis:entry namest="col2" nameend="col3" align="center">Anthropogenic  </oasis:entry>

         <oasis:entry colname="col4">Emission</oasis:entry>

         <oasis:entry colname="col5">Met field</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">emissions </oasis:entry>

         <oasis:entry colname="col4">year</oasis:entry>

         <oasis:entry colname="col5">year</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">China</oasis:entry>

         <oasis:entry colname="col3">Foreign</oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">countries</oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">Base_2015</oasis:entry>

         <oasis:entry colname="col2">MEIC</oasis:entry>

         <oasis:entry colname="col3">CEDS</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" morerows="1">2015</oasis:entry>

         <oasis:entry colname="col5" morerows="16">2015</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">China_2015</oasis:entry>

         <oasis:entry colname="col2">MEIC</oasis:entry>

         <oasis:entry colname="col3">None</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP119_2030</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP119</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" morerows="7">2030</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP245_2030</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP245</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP370_2030</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP370</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">China_current_2030</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">None</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP119_2030</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP119</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP245_2030</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP245</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP370_2030</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP370</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">China_neutral_2030</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">None</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP119_2060</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP119</oasis:entry>

         <oasis:entry colname="col4" morerows="7">2060</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP245_2060</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP245</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_current_SSP370_2060</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">SSP370</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">China_current_2060</oasis:entry>

         <oasis:entry colname="col2">Current policy</oasis:entry>

         <oasis:entry colname="col3">None</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP119_2060</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP119</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP245_2060</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP245</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Base_neutral_SSP370_2060</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">SSP370</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">China_neutral_2060</oasis:entry>

         <oasis:entry colname="col2">Carbon neutral</oasis:entry>

         <oasis:entry colname="col3">None</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

      <p id="d1e1724">Anthropogenic emissions for the base year (2015) for China are taken from
the Multi-resolution Emission Inventory (MEIC) for 2015
(Zheng et al., 2018b), and for the rest of the
world  they are taken from the Community Emissions Data System (CEDS) version 2
for 2015 (<uri>https://data.pnnl.gov/dataset/CEDS-4-21-21</uri>). For future
simulations, anthropogenic emissions for China and foreign countries for
each scenario are described above and are specified in Table 2. Other
emissions are default in GEOS-Chem following Xu et
al. (2023) and are fixed in all present and future scenarios.</p>
      <p id="d1e1731">We conduct simulations for January, April, July and October and treat the
mean of the four months as an annual mean. Our meteorological fields are fixed
to 2015 for all scenarios and years to exclude the influence of climate on
the results. More details of our model configurations can be found in Table 2. We conduct two types of simulations: (1) baseline simulations (simulations with “Base_” prefix in Table 2) that include complete
anthropogenic emissions for both China and foreign countries and (2) sensitivity
simulations (simulations with “China_” prefix in Table 2)
that exclude anthropogenic emissions for foreign countries from the baseline
simulation. Baseline simulations calculate PM<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in
China that are driven by both Chinese and foreign emissions, while
sensitivity simulations calculate PM<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China that
are driven merely by China's domestic emissions. The impacts of
transboundary pollution on China's PM<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> are calculated as the
difference in China's PM<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> between a baseline simulation and a
sensitivity simulation in a specified year and under a specified Chinese
emission scenario.</p>
      <p id="d1e1770">We correct our simulated PM<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under each scenario,
based on a large set of ground-based observations of PM<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, because our
simulated PM<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are biased high by roughly 15.7 %
(Fig. S2). Descriptions and data screening method of our ground-based
observations can be found in Xu et al. (2023).
Further evaluations of PM<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> composition concentrations in China and
PM<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in other Asian countries with ground-based
observations are presented in Xu et al. (2023). We
correct simulated PM<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in anthropogenic
concentration-dominated grid cells (where anthropogenic emissions exceed
natural emissions) by observations located in anthropogenic
concentration-dominated grid cells. Similarly, we correct simulated
concentrations in natural concentration-dominated grid cells (where natural
emissions exceed anthropogenic emissions) by observations located in natural
concentration-dominated grid cells. Natural and anthropogenic
concentration-dominated grid cells in the model are shown in Fig. S3. To
isolate anthropogenic concentration-dominated grid cells, we conduct a
sensitivity that excludes natural emissions in China and in foreign
countries. PM<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from this sensitivity simulation are
referred to as natural PM<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The difference between
concentrations from the Base_2015 simulation (with complete
natural and anthropogenic emissions) in Table 2 and the natural
concentrations is the anthropogenic emission-contributed concentrations
(anthropogenic concentrations). We scale anthropogenic concentrations by the
average ratio of observed concentrations and simulated concentrations at
each observation site that falls into an anthropogenically dominated grid
cell. Concentrations before and after the correction for anthropogenic and
all grid cells (including natural grid cells) are shown in Fig. S2. The
overestimation in both anthropogenic and total PM<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations is
removed after the correction.</p>
      <p id="d1e1855">We calculate sectoral contributions of foreign anthropogenic emissions to
China's PM<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under China's current policy and foreign
countries' SSP370 scenario at a resolution of 2<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
for January in 2030 and 2060. Sectoral contributions are calculated by
taking the difference of a simulation that includes one sector of SSP370
foreign anthropogenic emissions (agriculture, industry, energy, traffic,
residential combustion, solvent use, waste burning) at a time and a
simulation without<?pagebreak page10080?> foreign anthropogenic emissions (“China_current_2030” and “China_current_2060” runs in Table 2).</p>
      <p id="d1e1892">We also conduct sensitivity simulations at a resolution of 2<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M122" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to separate transboundary contributions to China's future
PM<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from anthropogenic emissions within or outside the
flex-grid domain of the model under the current-policy scenario and SSP370 scenario.
Contributions of foreign anthropogenic emissions from within the flex-grid
domain are calculated as the difference of a simulation without foreign
anthropogenic emissions outside the flex-grid domain and a simulation
without foreign anthropogenic emissions over the globe. Contributions of
foreign anthropogenic emissions from outside the flex-grid domain are
calculated as the difference between the total foreign contributions and
foreign contributions from flex-grid countries.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Health impact assessment</title>
      <p id="d1e1937">We use the GEMM (Burnett
et al., 2018) to estimate premature deaths attributable to ambient
PM<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> exposure for noncommunicable diseases (NCDs) and lower
respiratory infections (LRIs) in China under each scenario. GEMM NCD <inline-formula><mml:math id="M126" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI calculates premature deaths associated with ambient PM<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> exposure (<inline-formula><mml:math id="M128" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>) for each population subgroup <inline-formula><mml:math id="M129" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> (by age and sex) in grid cell <inline-formula><mml:math id="M130" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M131" display="block"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">AF</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the national baseline mortality rate of NCD <inline-formula><mml:math id="M133" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI for the exposed population subgroup <inline-formula><mml:math id="M134" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>. AF<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>s</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the attributable
fraction of NCD <inline-formula><mml:math id="M136" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI to PM<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> exposure at level <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for population subgroup <inline-formula><mml:math id="M139" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the total exposed population in grid cell <inline-formula><mml:math id="M141" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula>. In particular AF was calculated as AF <inline-formula><mml:math id="M142" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (RR <inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 1) <inline-formula><mml:math id="M144" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> RR, where RR is the
relative risk of NCD <inline-formula><mml:math id="M145" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI attributable to ambient PM<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> exposure. The dependence of RR of NCD <inline-formula><mml:math id="M147" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI on PM<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations is calculated as
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M149" display="block"><mml:mrow><mml:mi mathvariant="normal">RR</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mfrac><mml:mi>z</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mfrac><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:mi>z</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">μ</mml:mi></mml:mrow><mml:mi mathvariant="italic">ν</mml:mi></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:msup></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mspace width="1em" linebreak="nobreak"/><mml:mi mathvariant="normal">where</mml:mi><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mo movablelimits="false">max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M150" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M151" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M153" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> are fitted parameters of
PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>–mortality relationships. According to the GEMM, the RR of
NCD <inline-formula><mml:math id="M155" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> LRI is calculated by age for adults aged from 25 to greater than 85 years in 5-year intervals.</p>
      <p id="d1e2330">In this study, we use the national baseline mortality data by age group and
disease type from the Global Burden of Disease Results Tool, 2017 version
(GBD 2017; Institute for Health Metrics and Evaluation, 2018).
For future baseline mortality, we use the age-specific baseline mortality
rates projected by the International Futures (IFs) model v7.89
(Hughes et al., 2011). Population and age structure data for China for 2015 and future years are obtained from the SSP dataset (Samir
and Lutz, 2017; Riahi et al., 2017) because China's current-policy scenario
is built upon the SSP2 scenario, and the carbon-neutral scenario is built
upon the SSP1<?pagebreak page10081?> scenario (Cheng
et al., 2021b; Tong et al., 2020). The gridded population data for China on
a 0.5<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial resolution for 2015 and
future years under each SSP scenario are developed by Huang et al. (2019). The future
cause-and-effect relationship between PM<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> exposure and mortality
follows the PM<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>–mortality hazard ratio function in the GEMM,
which has been widely used in the calculation of PM<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated
mortality in the future (Hong
et al., 2019; Liu et al., 2021; Yang et al., 2022).</p>
      <p id="d1e2386">With the baseline mortality, the population data and the age-structure data,
we calculate, grid cell by grid cell, the age-specific baseline mortality
rate under present and future scenarios. The impacts of transboundary
pollution on mortality in China are calculated as the difference between
mortality associated with PM<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> simulated by the full anthropogenic
emissions for China and foreign countries and mortality associated with
PM<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> simulated by excluding foreign emissions from the full
anthropogenic emissions.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Achievability of future air quality goals in China</title>
      <p id="d1e2423">In 2015, the national mean population-weighted PM<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over China is
about 48 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 1) after the observation-based correction, consistent with previous studies (48–55 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) that used various models (Burnett
et al., 2018; Cheng et al., 2021a, b; Tang et al., 2022; Zhang and Cao,
2015). The correction reduces the overestimation in the model by roughly
16 % (Fig. S2); details about the correction approach are described in
the Method section. From 2015–2030 and 2030–2060, there is a remarkable decreasing trend
in China's annual mean population-weighted PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under
plausible futures (Fig. 1). In 2030, achieving the 35 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
goal on a national average level would be feasible even under the fossil-fuel-intensive pathways in China (current-policy scenario) and foreign countries
(SSP370), yet the most polluted provinces might not be able to achieve the
goal under such scenarios (upper whiskers in Fig. 1). In 2060, achieving the
WHO AQG goal of 5 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> would be highly unlikely under any
emission pathway analyzed in this study (Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2527">Population-weighted PM<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over China.
Box-and-whisker plots represent 5th, 25th, 75th and 95th percentiles of
provincial population-weighted PM<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in 2015, 2030 and
2060. Lines in the middle of each box represent the national mean
population-weighted PM<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. Future emission scenarios in
China are labeled as text at the top, and in foreign countries they are
represented by colors according to the legend.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f01.png"/>

        </fig>

      <p id="d1e2563">Considering air quality goals at the city level in China (35 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015 and 2030; 5 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2060), the fraction of
cities achieving air quality goals increases considerably as China and
foreign countries transition from the fossil-fuel-intensive to
low-carbon pathways, yet the achievement is not fully attainable in all
cities. In 2015, only 30 % of 365 cities in the national PM<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
monitoring network has an annual mean population-weighted PM<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> below
the 35 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> threshold (Fig. 2a). In 2030, the percentage
increases considerably (Fig. 2b). Under the current-policy emission pathway
in China (the current clean-air policies and nationally determined
contribution pledges), roughly 65 % of Chinese cities (average of the
three foreign scenarios) are able to achieve the goal, doubling the
percentage in 2015. Under the carbon-neutral emission pathway in China
(stringent clean-air policies and carbon neutrality commitments), the
percentage further increases to about 92 % (average of the three foreign
scenarios). However, even the cleanest emission pathway in both China and
foreign countries cannot allow all cities to attain the 35 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> goal. In 2060 (Fig. 2c), the WHO AQG goal of 5 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
is not achievable for the majority of cities (<inline-formula><mml:math id="M189" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 75 %) in China.
Emission pathways adopted by foreign countries can affect up to 6 % of
cities achieving the AQG goal, and the influence could be even larger over
border regions (as shown in Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2696">Percent of cities achieving air quality goals in China. <bold>(a)</bold> Percent of cities in China with an annual mean population-weighted PM<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration below 35 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015. <bold>(b–c)</bold> Percent of cities with an annual mean population-weighted PM<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration achieving the 35 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> goal in 2030 <bold>(b)</bold> and the 5 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> goal in 2060 <bold>(c)</bold>. PM<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are simulated under different future emission scenarios in China (current-policy and carbon-neutral scenarios) and foreign countries (represented by colors following the legend).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2808">Contributions of transboundary pollution to PM<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations over China. <bold>(a)</bold> Transboundary contributions to national annual mean population-weighted PM<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China in 2015, 2030 and 2060. Future scenarios are estimated by different emission scenarios in China represented by light (carbon-neutral scenario) and dark shadings
(current-policy scenario), along with different emission scenarios in other
countries (SSP370, SSP245, SSP119) represented by colors according to the
legend. The text on top of each bar represents the transboundary-contributed
population-weighted PM<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> under China's current-policy emission
scenarios. The text in the light shading of each bar represents the
transboundary-contributed population-weighted PM<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> under China's
carbon-neutral emission scenarios. <bold>(b)</bold> Same as <bold>(a)</bold>, but for northern China. ​​​​​​​<bold>(c–n)</bold> Spatial distributions of transboundary-contributed annual mean PM<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over China in 2030 and 2060 under different emission scenarios in China and in other countries. YN represents the province of Yunnan. XJ represents the province of Xinjiang. Northern China is outlined by thick black lines.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f03.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page10082?><sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Transboundary impacts on PM${}_{{2.5}}$ concentrations in China}?><title>Transboundary impacts on PM<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China</title>
      <p id="d1e2895">In 2015, transboundary pollution contributes about 3.8 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
population-weighted PM<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> to China (Fig. 3a), accounting for roughly
8 % of the total population-weighted PM<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 4). In the future,
transboundary pollution becomes increasingly important in China, as the
share of transboundary pollution in China's total population-weighted
PM<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increases to 12 %–22 % in 2060 (Fig. 4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2947">Fractional transboundary contributions to PM<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations over China. The percentage fraction of
transboundary-contributed PM<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China's total population-weighted
PM<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in 2015, 2030 and 2060. Future anthropogenic emission scenarios
are represented by different colors and markers following the legend.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f04.png"/>

        </fig>

      <p id="d1e2983">For future PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations, the contribution of transboundary
pollution to PM<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China decreases as foreign countries and China
undergo the low-carbon pathways (Fig. 3a). In 2030, under the current-policy
scenario in China, transboundary contributions to PM<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China would
be reduced by 1.2 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (29 %) as foreign countries
transition from the fossil-fuel-intensive (SSP370) to the low-carbon
(SSP119) scenario. By 2060, the difference would be increased to 1.8 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (45 %). The transboundary pollution will also depend on
Chinese domestic emissions because of their chemical interactions with
foreign-transported pollution (Xu et al., 2023). In
2030, under the SSP370 scenario in foreign countries, transboundary
contributions to PM<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China could be reduced by 0.6 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (14 %) as China transitions from the current-policy to the
carbon-neutral scenario. In 2060, the PM<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reduction could be
increased to 1.8 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (45 %).</p>
      <p id="d1e3114">Direct atmospheric transport and chemical interactions play
different roles in transboundary pollution over different regions in China.
Over northern China (outlined in Fig. 3c–o), the influence of chemical
interactions on transboundary pollution is prominent.
Xu et al. (2023) found that foreign-transported
NMVOCs could enhance the atmospheric oxidizing capacity and facilitate the
oxidation of Chinese nitrogen oxides (NO<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) to form nitrate over northern China. This feature persists in the future. Due to chemical interactions,<?pagebreak page10083?> northern China is the region that is the most strongly affected by transboundary
pollution in most scenarios. In 2030, transboundary pollution contributes 3
to 10 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> PM<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations to northern China, even
under China's carbon-neutral scenario (Fig. 3b and i–l), greatly
increasing the difficulty for this region to achieve the 35 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> goal. Further reduction of transboundary pollution on northern China requires the reduction of not only foreign anthropogenic emissions but also China's domestic emission. For example, in 2060, if China adopts the current-policy pathway (Fig. 3f–h), achieving the WHO AQG goal of 5 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M233" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> would be highly unlikely for the majority of northern China, as transboundary pollution alone would contribute roughly 3–10 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of PM<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration (Fig. 3b and f–h).
Alternatively, adopting the carbon-neutral rather than the current-policy
pathway in China reduces roughly 41 %–58 % of
transboundary PM<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over northern China in 2060 (Fig. 3b), making it
possible for the region to achieve the 5 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> goal. Thus, a
low-emission pathway for China has a large co-benefit on reducing
transboundary pollution exerted upon its populous northern area by reducing
the aforementioned chemical interactions.</p>
      <p id="d1e3255">The western border provinces of Yunnan and Xinjiang (denoted in Fig. 3c–o)
are also influenced substantially by transboundary pollution, with the
magnitude of transboundary pollution determined predominantly by foreign
emission pathways. For example, in 2060, under China's
carbon-neutral emission pathway, transboundary PM<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over Yunnan
decreases from 6 to 3 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (a 50 %
reduction) as the foreign pathway switches from a fossil-fuel-intensive
(SSP370; Fig. 3m) to low-carbon (SSP119; Fig. 3o) pathway, reflecting the
considerable impact of South Asian pollution to China
(Jiang et al.,
2013). Over Xinjiang, the transboundary pollution driven predominantly by
direct atmospheric transport can reach 6 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in many
scenarios (i.e., current-policy plus SSP370 for 2030 and 2060,
carbon-neutral plus SSP245 for 2030), indicating the important influence of
anthropogenic emissions from Central Asia in the future that has hardly been
investigated in previous studies.</p>
      <p id="d1e3307">As transboundary contributions are the largest under China's current-policy
and foreign countries' SSP370 emission pathways (Fig. 3a), we further
investigate major emission sectors in foreign countries that contribute to
China's future PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. We take January as an example
because Xu et al. (2023) found that transboundary
contributions to China's PM<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were the largest in January. Figure S4
reveals that agriculture, energy, industry, transportation and residential
combustion emissions in foreign countries are major sources of transboundary
pollution to China's national average future PM<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in
2030 and 2060 January, and these sectors contribute roughly evenly
(15 %–23 % for each source). There is pronounced spatial
heterogeneity in the source attribution. Solvent use emissions in foreign
countries make roughly 3 times larger contributions to northern China (18 %
in 2030 and 2060) than to the national average (6 %–7 % in 2030 and
2060). This is in line with the result of Xu et al. (2023) that the NMVOCs are the primary drivers of transboundary PM<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
over northern China. Residential combustion in foreign countries contributes
about 16 % in 2030 and 10 % 2060 more PM<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> to the province of Yunnan than to the entirety of China, as Yunnan is mostly affected by emissions from South Asia (Jiang et al., 2013), where residential combustion is intensive
(McDuffie et al., 2020).</p>
      <p id="d1e3355">Transboundary pollution to China could arise from emissions of countries
within and outside the flex-grid domain of the model. Thus, we conduct a
sensitivity simulation driven by China's current-policy and foreign
countries' SSP370 emissions in 2030 and 2060 as an example to explore the
relative importance of anthropogenic emissions from countries within and
outside the flex-grid domain for transboundary pollution to China. Figure S5
shows that anthropogenic emissions from countries within the flex-grid
domain dominate the transboundary pollution to China in all seasons
(<inline-formula><mml:math id="M250" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 80 %), and their contributions remain in 2030 and 2060.
Contributions of anthropogenic emissions from countries outside the
flex-grid domain are larger in April and October, when westerly winds prevail
and wet deposition is not as strong as in July (Jiang
et al., 2013; Leibensperger et al., 2011; Ni et al., 2018). Northern China is
more influenced by emissions outside the flex-grid domain (13 % in April
and 24 % in October) than China on average is (7 % in April and 13 % in October), indicating that northern China is more influenced by emissions outside Asia, such as Europe and North America. Leibensperger et al. (2011) have also found that NO<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission in the US could lead to an
enhancement of PM<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over northern China.</p>
</sec>
<?pagebreak page10084?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Health threats by transboundary pollution in China</title>
      <p id="d1e3391">Figure 5 shows our estimated PM<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated premature deaths in 2015
and the future. Our estimated PM<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated premature deaths in
China in 2015 (2.03 million) are comparable to other studies (2
to 2.4 million; Burnett et al., 2018; Geng et al., 2021; Tang et al., 2022).
Our estimated increasing trend of premature deaths in China from SSP370 to
SSP119 is also consistent with previous works
(Tang et al., 2022; Yang et al.,
2022), which is driven primarily by population aging (Fig. S6). Our
estimated premature deaths in 2030 and 2060 under the current-policy
emission scenario (2.68 to 2.82 million for 2030; 1.8 to 2.05 million for
2060) are substantially lower than those in Tang et al. (2022) (3.5 to 4 million for 2030; 6.5 to 7.5 million for 2060). The
difference is primarily because Tang et al. (2022) fixed
the baseline mortality rates in future years at the 2015 level, while our
future baseline mortality rates from the IFs are projected on the basis of
income, education and technology advancement, and other factors
(Hughes et al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3414">PM<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated premature deaths in China. Total
PM<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated premature deaths in China for 2015, 2030 and 2060
under each emission scenario in China (denoted as text at the top) and in
other countries (represented by colors in the legend). Numbers denote the
estimated deaths in each scenario. Error bars represent the 95 %
confidence interval of the RR function.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3443">Potential health threats associated with transboundary pollution
in China. <bold>(a)</bold> Population exposed to an annual mean population-weighted PM<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration above the goals (35 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M259" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2015 and 2030; 5 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2060) due to transboundary contributions of PM<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China under different emission scenarios in China (denoted as text at the top) and in other countries (represented by colors in the legend). <bold>(b)</bold> Transboundary-contributed PM<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related premature
mortalities in China under different emission scenarios in China (denoted as
text at the top) and in other countries (represented by colors in the
legend). Error bars represent the 95 % confidence interval of the RR
function.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/10075/2023/acp-23-10075-2023-f06.png"/>

        </fig>

      <p id="d1e3527">The PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations contributed by transboundary pollution can
lead to an extra number of people (i.e., excess population) exposed to
PM<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations above the targeted air quality levels in China (35 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015 and 2030; 5 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
2060), which may lead to potential health threats. In the future, the amount
of excess population due to transboundary pollution depends on both foreign
and China's emission pathways (Fig. 6a). In 2030, with Chinese emissions
following the carbon-neutral scenario, adopting the low-carbon (SSP119)
rather than the fossil-fuel-intensive pathway (SSP370) in foreign countries
could prevent 10 million Chinese people from being exposed to PM<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations above 35 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. In 2060, 5 million people could be prevented from being exposed to PM<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations above 5 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> if the foreign scenario switches from SSP370 to SSP119. These
results indicate remarkable health benefits that the low-carbon emission
pathway in foreign countries would bring to China.</p>
      <p id="d1e3648">For a given future year and foreign emission scenario, the excess population
due to transboundary pollution tends to be larger when China adopts the
carbon-neutral pathway than when China adopts the current-policy pathway
(Fig. 6a). This reflects the increasing influence of transboundary pollution
on air quality in China as China's overall PM<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations drop
sharply towards the air quality goals under the carbon-neutral pathway (Fig. 1).</p>
      <p id="d1e3660">Another measure of health threat that transboundary pollution could exert
upon China is PM<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related premature deaths. As shown in Fig. 6b,
there is an obvious decreasing trend of transboundary-contributed
PM<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related premature deaths in China as foreign countries and China
transition from the fossil-fuel-intensive to the low-carbon pathway. In
2030, adopting the low-carbon pathway (SSP119) in foreign countries would
prevent 41 % (178 000 under China's carbon-neutral pathway) to 45 %
(207 000 under China's current-policy pathway) of premature deaths that
would occur under the fossil-fuel-intensive pathway (SSP370) in foreign
countries. In 2060, the prevention would be as large as 76 % (270 000 under China's current-policy pathway) to 91 % (63 000 under China's
carbon-neutral pathway). In addition, China's low-carbon emission pathway
could also bring considerable health benefits through reducing the chemical
interaction-related transboundary pollution and associated premature deaths
in China. In 2030, adopting the carbon-neutral pathway in China would prevent
99 000 (SSP245) to 211 000 (SSP119) people from transboundary
pollution-associated premature deaths relative to adopting the
current-policy emission pathway. In 2060, the prevented deaths would be 76 000
(SSP119) to 283 000 (SSP370). These findings highlight the considerable
health benefits to China if foreign countries and China could adopt the
low-carbon emission pathways coincidently.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion</title>
      <p id="d1e3690">This study reveals the increasingly important role that transboundary
pollution would play in the achievement of future air quality goals and the
protection of public health in China. The magnitude of transboundary
pollution depends on both Chinese and foreign emissions, given the direct
pollution transport and the indirect impact through chemical interactions
between transported and China's locally emitted pollutants. Adopting the
low-carbon (SSP119) instead of the fossil-fuel-intensive (SSP370) pathway in
foreign countries would prevent millions of Chinese people (Fig. 6a) from
being exposed to PM<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations above the targeted air quality
levels in 2030 (35 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and 2060 (5 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and would prevent 63 000–270 000 of transboundary PM<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-associated mortalities in China in 2060 (Fig. 6b). Adopting the carbon-neutral instead of current-policy pathway in China would prevent 76 000–283 000 premature mortalities associated with
transboundary pollution in 2060 (Fig. 6b). If China and foreign countries
undergo the low-carbon pathways coincidently, transboundary pollution in
China would be reduced by 63 % relative to adopting a fossil-fuel-intensive emission pathway in both regions (Fig. 4a) and could prevent
386 000 premature deaths in China (Fig. 6b). Cutting foreign emissions is
particularly effective at reducing transboundary pollution at the western
border provinces of Yunnan and Xinjiang that are dominated by direct
transport. Fully achieving the WHO AQG goal of 5 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over populous northern China would be possible only when both China and foreign
counties adopt the low-carbon pathways (carbon-neutral and SSP119,
respectively).</p>
      <p id="d1e3772">The importance of transboundary pollution is not confined to China. In the
future, significant emission changes are expected in many developing
countries, affecting air quality locally and in the downwind regions. These
developing countries are often financially and/or technologically less
capable<?pagebreak page10085?> to control emissions by themselves. Thus, enhanced external aid
would be essential for these developing countries to undergo a low-carbon
development in the future, which in turn would benefit air quality and
public health of the entire globe. External aid could be done through
global cooperation programs such as the Paris Agreement or through
inter-regional collaboration such as the Belt and Road Initiative.</p>
      <p id="d1e3775">Uncertainties arise from several factors in this study. The future
development pathway of a country is highly uncertain, leading to a wide
spread of projected emission trajectories in the future. We thereby use a
set of emission projections to represent the plausible range of future
emissions. The simulation of PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is subject to uncertainties in
aerosol chemical and physical processes, such as the wet deposition of
nitrate (Luo et al., 2020) and the simplified secondary organic aerosol formation scheme (Pai et al., 2020). Our
correction to the simulated PM<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations using ground-based
observations could reduce the uncertainty by 15 % to 18 % (Fig. S2).
Future population and age structure change are projected based on their
historical relationships with gross domestic product (GDP) and urbanization (O'Neill et al.,
2020; Riahi et al., 2017). Thus, they may introduce biases if the future
development of global GDP and urbanization deviates from the historical path, ​​​​​​​e.g., due to the emergence of anti-globalization (Dür et al., 2020) and regional rivalry (O'Neill et al.,
2014; van Vuuren et al., 2014). There are additional uncertainties from
PM<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related death estimates due to the limited epidemiology evidence
and statistical estimation of the GEMM, such as the influences of
particulate species and size on health outcomes (Burnett
et al., 2018). We estimate the overall uncertainties of PM<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related
deaths in each scenario as a 95 % CI in the main text. Besides, we do not
consider potential influences of climate change and the change of natural
emissions on PM<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and transboundary pollution, yet their influences
are found to be small compared to the influence of anthropogenic emissions
(Hong et al., 2019; Jiang et al., 2013; Liu et al., 2021; Silva et al., 2017).</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <?pagebreak page10086?><p id="d1e3828">The GEOS-Chem model v13.2.1 source code used for PM<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration simulations is available at <uri>https://geos-chem.readthedocs.io/en/stable/gcc-guide/02-build/get-code.html</uri> (last access: 6 September 2023; <ext-link xlink:href="https://doi.org/10.5281/zenodo.5500717" ext-link-type="DOI">10.5281/zenodo.5500717</ext-link>, The International GEOS-Chem User Community, 2021). The SSP–RCP emission harmonization source code is available at
<uri>http://software.ene.iiasa.ac.at/aneris/</uri> (Gidden, 2023). All computer codes generated during this study are available from the corresponding author upon reasonable request.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3852">The global SSP–RCP emission data for 2015 and future scenarios and the area-weighted PM<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China for 2015 and future scenarios are available upon request to the corresponding author. All other data used in this study are publicly available and can be downloaded from the following links:
<list list-type="order"><list-item>
      <p id="d1e3866">China's future emission scenarios 2015–2060 (<uri>http://meicmodel.org.cn/?page_id=2351&amp;lang=en#firstPage</uri>, MEIC team, 2023)</p></list-item><list-item>
      <p id="d1e3873">Chinese future population data
(<uri>https://doi.org/10.57760/sciencedb.01683</uri>, Jiang et al., 2022)</p></list-item><list-item>
      <p id="d1e3880">2015 baseline mortality rate (<uri>https://gbd2017.healthdata.org/gbd-results/</uri>, Institute for Health Metrics and Evaluation, 2023)</p></list-item><list-item>
      <p id="d1e3887">future baseline mortality rate projection (<uri>https://www.ifs.du.edu/ifs/frm_MainMenu.aspx</uri>, International Futures, 2023).</p></list-item><list-item>
      <p id="d1e3894">CEDS version-2 emissions (<uri>https://doi.org/10.25584/PNNLDataHub/1779095</uri>, Smith et al., 2023).</p></list-item></list></p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3900">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-23-10075-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-23-10075-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3909">JL led the study. JX and JL designed the study. JX performed the model simulations and conducted the data analysis. DT provided China's future emission data. LC provided the SSP–RCP emission harmonization and
health impact assessment methods. JX wrote the manuscript with inputs from
JL. All authors commented on the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3915">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="d1e3921">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3927">We thank the GEOS-Chem community for developing and maintaining the model. We also appreciate the IIASA for providing the SSP-RCP emissions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3932">This research has been supported by the National Natural Science Foundation of China (grant no. 42075175), the second Tibetan Plateau Scientific Expedition and Research Program (grant no. 2019QZKK0604), and the China Postdoctoral Science Foundation (grant no. 2021M700191).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3938">This paper was edited by Jason West and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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