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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-5925-2026</article-id><title-group><article-title>Dissimilar roles of aerosols, nitrogen deposition  and ozone on the terrestrial carbon sink  in China during 2010–2020</article-title><alt-title>Dissimilar roles of aerosols, nitrogen deposition and ozone</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xie</surname><given-names>Nanhong</given-names></name>
          
        <ext-link>https://orcid.org/0009-0008-1392-7098</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wang</surname><given-names>Tijian</given-names></name>
          <email>tjwang@nju.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Shu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhuang</surname><given-names>Bingliang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7092-7096</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Mengmeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Xie</surname><given-names>Min</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0697-926X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Qian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ma</surname><given-names>Danyang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Liu</surname><given-names>Jane</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7760-2788</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Chen</surname><given-names>Jing M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8682-1293</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Feng</surname><given-names>Zhaozhong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Melas</surname><given-names>Dimitrios</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Karatzas</surname><given-names>Kostas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1033-5985</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Atmospheric Sciences, Nanjing University, Nanjing, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Environment, Nanjing Normal University, Nanjing, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geography and Planning, University of Toronto, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Key Laboratory of Ecosystem Carbon Source and Sink, China Meteorological Administration (ECSS-CMA), School of Ecology and Applied Meteorology,  Nanjing University of Information Science and Technology, Nanjing, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Laboratory of Atmospheric Physics, School of Physics,  Aristotle University of Thessaloniki, Thessaloniki, Greece</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Environmental Informatics Research Group, School of Mechanical Engineering,  Aristotle University of Thessaloniki, Thessaloniki, Greece</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tijian Wang (tjwang@nju.edu.cn)</corresp></author-notes><pub-date><day>4</day><month>May</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>9</issue>
      <fpage>5925</fpage><lpage>5945</lpage>
      <history>
        <date date-type="received"><day>2</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>3</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>27</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Nanhong Xie et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026.html">This article is available from https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e235">China's Clean Air Action (CAA) plan implemented since 2013 has significantly altered atmospheric composition, and yet its impact on the terrestrial carbon sink remains unclear. This study employed the Regional Earth System Model (RegESM), an online-coupled climate–chemistry–ecosystem modeling framework, to quantify the impacts of aerosols, surface ozone (O<sub>3</sub>), and nitrogen deposition on China's net ecosystem productivity (NEP) from 2010 to 2020. The results show that aerosols enhanced China's NEP by 17.93 TgC yr<sup>−1</sup> (4.49 % of the total NEP), primarily by increasing diffuse radiation, with the most pronounced effects in Southern and Eastern China. Nitrogen deposition further increased NEP by 37.98 TgC yr<sup>−1</sup> (9.52 %), concentrated in Central and Southern regions. In contrast, O<sub>3</sub> pollution reduced NEP by 51.33 TgC yr<sup>−1</sup> (12.90 %), particularly in the forest-dominated Southeast. The positive impacts of aerosols and nitrogen deposition on the carbon sink weakened over time, whereas the negative influence of O<sub>3</sub> was increasing. The combined effects indicate that CAA-induced atmospheric chemistry changes led to a shift in the dominant atmospheric drivers of China's terrestrial carbon sink, from enhancement by aerosols and nitrogen deposition to suppression by ozone. Our findings highlight the need for stronger O<sub>3</sub> pollution control to achieve co-benefits between air-quality improvement and carbon neutrality.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42477103</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="d2e320">Terrestrial ecosystems act as major carbon sinks, sequestering atmospheric carbon dioxide (CO<sub>2</sub>) through plant photosynthesis, and constitute a fundamental natural process for mitigating global climate change (Friedlingstein et al., 2023; Piao et al., 2013; Yuan et al., 2025). Under ongoing global warming, the dynamics of carbon sinks are regulated not only by climatic factors such as temperature and precipitation (Cao et al., 2023; Post et al., 2018; Ren et al., 2020), but also by variations in atmospheric composition (Zhou et al., 2021). Among these, aerosols, O<sub>3</sub>, and atmospheric nitrogen deposition have been identified as key atmospheric pollutants affecting terrestrial carbon sequestration (Liu et al., 2022; Zhou et al., 2024). As a crucial component of the global carbon cycle, terrestrial ecosystems in China sequester approximately 0.20–0.25 PgC yr<sup>−1</sup>, playing an essential role in supporting the achievement of the national carbon neutrality target (Piao et al., 2022; Xia et al., 2025; Yue et al., 2021). Therefore, assessing the responses of carbon sinks to multiple atmospheric composition changes is of great scientific significance for understanding both the global carbon cycle and climate feedback mechanisms.</p>
      <p id="d2e353">Aerosols influence vegetation photosynthesis and carbon sequestration primarily through radiative forcing (Shu et al., 2022; Zhou et al., 2022). Aerosol scattering and absorption reduce surface solar radiation and can suppress vegetation photosynthesis (Doughty et al., 2010; Kuniyal and Guleria, 2019). In the meantime, enhanced diffuse radiation increases light use efficiency of plants, leading to the diffuse fertilization effect (Gu et al., 2003; Mercado et al., 2009). Aerosols also influence cloud microphysics by modifying droplet formation and lifetime, which further affects regional precipitation and water availability for vegetation (Li et al., 2020; Unger et al., 2017). Consequently, the net effect of aerosols on photosynthesis exhibits marked spatial heterogeneity, with both enhancement and suppression reported in highly polluted regions such as eastern China (Strada and Unger, 2016; Wang et al., 2018; Xie et al., 2020).</p>
      <p id="d2e356">In addition, near-surface O<sub>3</sub> impairs plant carbon uptake through direct physiological damage (Lei et al., 2022; Unger et al., 2020). O<sub>3</sub> enters leaves through stomata and induces reactive oxygen species at the cellular level, leading to degradation of photosynthetic pigments, suppressed Rubisco activity, premature leaf senescence, and defoliation, all of which inhibit photosynthetic carbon assimilation (Wittig et al., 2007). Evidence from O<sub>3</sub>-FACE (free-air O<sub>3</sub> concentration enrichment) experiments shows that a 10 ppb increase in O<sub>3</sub> concentration can lower crop productivity by 5 %–15 % (Feng et al., 2015). In China, summertime O<sub>3</sub> peaks often coincide with the peak growing season of vegetation, particularly in the North China Plain and the Yangtze River Delta, posing a notable threat to regional carbon sequestration (Lei et al., 2022; Li et al., 2024; Yue et al., 2017).</p>
      <p id="d2e414">Furthermore, atmospheric nitrogen deposition is a major external nitrogen source for terrestrial ecosystems and exerts both positive and negative effects on carbon sinks (Chen et al., 2015; Lu et al., 2021). In nitrogen-limited systems, such as temperate forests and grasslands, moderate deposition can enhance photosynthesis and biomass accumulation, thereby increasing carbon sequestration (Cen et al., 2025; Lu et al., 2016; Peng et al., 2025). When inputs become excessive, however, they can induce soil acidification, biodiversity loss, and broader ecosystem degradation, a condition known as nitrogen saturation (Chen et al., 2015; Yue et al., 2016). China receives some of the highest nitrogen deposition levels globally, with annual averages of 15–20 kg N ha<sup>−1</sup> yr<sup>−1</sup> and hotspots surpassing 30 kg N ha<sup>−1</sup> yr<sup>−1</sup>, raising increasing concerns about long-term ecological impacts (Liu et al., 2022, 2013; Yu et al., 2019).</p>
      <p id="d2e467">China has long faced the dual pressures of severe air pollution and growing greenhouse gas emissions (Tu et al., 2019; Wang et al., 2024). Rapid economic expansion in the early 2010s was accompanied by persistent increases in fine particulate matter (PM<sub>2.5</sub>) concentrations (Hao et al., 2020). Since 2013, successive Clean Air Action Plans have led to a substantial decline in PM<sub>2.5</sub> levels (Xue et al., 2019; Yue et al., 2020; Zheng et al., 2018). At the same time, near-surface summertime O<sub>3</sub> has risen sharply (Liu et al., 2018; Zhou et al., 2024), while nitrogen deposition has slowed in growth but remains at a high level (Liu et al., 2024). These changes not only reflect the outcomes of emission control policies but also reshape the regional atmospheric chemical environment, potentially exerting complex and combined effects on carbon sinks (Liu et al., 2022; Zhou et al., 2024). The rapid transition in atmospheric composition during 2010–2020 provides an unprecedented large-scale natural experiment for disentangling the relative roles of aerosols, O<sub>3</sub>, and nitrogen deposition in altering China's carbon sink. However, most existing studies have examined these drivers in isolation, relied on offline or statistical frameworks that cannot capture dynamic climate–chemistry–ecosystem feedbacks, and rarely compared responses across ecological regions (Unger et al., 2020; Yue et al., 2017; Zhou et al., 2024).</p>
      <p id="d2e506">Here, we employ an improved regional climate–chemistry–ecosystem online-coupling model, RegESM (Xie et al., 2024; Zhang et al., 2025), to quantify the impacts of aerosols, O<sub>3</sub>, and nitrogen deposition on China's terrestrial carbon sinks during 2010–2020. RegESM incorporates two-way interactions among climate, atmospheric chemistry, and biogeochemical processes and has been extensively evaluated over East Asia (Ma et al., 2023; Xie et al., 2024, 2020; Zhang et al., 2025). Our objective is to isolate the contributions of individual atmospheric components to changes in China's carbon sinks based on RegESM after its assessment using multiple observational datasets. These results offer new insight into the ecological consequences of rapid atmospheric composition changes and provide a scientific foundation for coordinated multi-pollutant control and ecosystem management under China's carbon-neutrality goals.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The RegESM model</title>
      <p id="d2e533">In this study, we employed the RegESM, an improved extension of the RegCM-Chem-YIBs regional climate–chemistry–ecosystem modeling framework (Xie et al., 2024, 2019; Zhang et al., 2025). The original RegCM-Chem-YIBs couples the RegCM4 regional climate model (Giorgi et al., 2012), the radiative interactive gas-phase chemistry module Chem (Shalaby et al., 2012), and the YIBs terrestrial ecosystem model (Yue and Unger, 2015) to represent interactive processes among atmospheric dynamics, chemistry, and terrestrial carbon cycles (Xie et al., 2024). Building upon this foundation, RegESM strengthens two-way feedback among the atmosphere, atmospheric chemistry, and land surface processes, enabling a more realistic simulation of biogeochemical cycles (Zhang et al., 2025). The enhanced coupling allows land surface changes, such as vegetation dynamics and soil moisture variations, to more directly influence atmospheric composition, radiation, and meteorology, while atmospheric and chemical variations simultaneously affect ecosystem processes (Xie et al., 2024; Zhang et al., 2025). This bidirectional integration improves the model's capability to capture transient and spatially heterogeneous climate–ecosystem–chemistry interactions, which are crucial for regional climate change and carbon budget assessments (Zhang et al., 2025).</p>
      <p id="d2e536">The RegESM framework used in this study integrates RegCM4 as the dynamical core for simulating regional climate processes at a high resolution, the Chem module for interactive gas-phase and aerosol chemistry coupled with radiation and meteorology, and the YIBs land surface model for calculating biophysical processes such as photosynthesis, transpiration, and energy balance, along with biogeochemical cycles of carbon and nitrogen (Giorgi et al., 2012; Shalaby et al., 2012; Xie et al., 2024; Yue and Unger, 2015). In RegESM, the influence of atmospheric nitrogen deposition on terrestrial carbon fluxes is represented through the online coupling between the chemistry and land components. Atmospheric nitrogen deposition is calculated online by the chemistry component as dry and wet deposition fluxes of reduced and oxidized nitrogen (NH<sub><italic>x</italic></sub> and NO<sub><italic>y</italic></sub>), which are then passed to the land component as external nitrogen inputs. These inputs affect soil inorganic nitrogen availability and subsequently influence plant productivity, ecosystem respiration, and net ecosystem productivity. Therefore, the effect of nitrogen deposition on carbon fluxes is represented as the integrated result of nitrogen input and land biogeochemical processes, rather than as a simple linear fertilization effect. These components are linked through an improved coupling mechanism that ensures the consistent exchange of meteorological, chemical, and biogeophysical variables at each model timestep, enabling fully interactive simulations in which land, atmosphere, and chemistry evolve in a physically coherent manner (Xie et al., 2024; Zhang et al., 2025). This model has been widely applied in East Asia (Xie et al., 2025, 2019; Zhang et al., 2025, 2024).</p>
      <p id="d2e557">We used net ecosystem productivity (NEP) as an indicator for characterizing carbon sources and sinks (NEP <inline-formula><mml:math id="M28" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 suggests a carbon sink). NEP was calculated as the difference between gross primary production (GPP) and the sum of autotrophic respiration (Ra) and heterotrophic respiration (Rh) (Xie et al., 2025; Yue et al., 2021). It is noteworthy that the NEP estimated in this study does not account for lateral carbon transfers.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Ozone Damage Scheme</title>
      <p id="d2e575">Once surface O<sub>3</sub> enters plants through the stomata, it directly damages plant cellular structures and suppresses the photosynthetic rate, thereby reducing vegetation productivity. In the YIBs vegetation module of the RegESM model, a semi-mechanistic parameterization scheme is employed to represent the impacts of O<sub>3</sub> on plants (Sitch et al., 2007; Yue and Unger, 2015):

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M31" display="block"><mml:mrow><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M32" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> denotes the photosynthetic rate under O<sub>3</sub> exposure, <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">tot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the total leaf photosynthetic rate, and <inline-formula><mml:math id="M35" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> is the remaining proportion of photosynthetic capacity after O<sub>3</sub> stress. This proportion is determined by the stomatal O<sub>3</sub> flux that exceeds a specified threshold:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M38" display="block"><mml:mrow><mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ozn</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ozncrit</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M39" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> denotes the vegetation sensitivity parameter to O<sub>3</sub> derived from observational data. <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ozncrit</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the threshold of O<sub>3</sub>-induced damage to vegetation, and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ozn</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the O<sub>3</sub> flux entering the leaf through stomata:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M45" display="block"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ozn</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where [O<sub>3</sub>] denotes the O<sub>3</sub> concentration at the canopy top, <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the boundary layer resistance, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio of O<sub>3</sub> leaf resistance to water vapor blade resistance, and <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the stomatal resistance accounting for the effects of O<sub>3</sub>:

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M53" display="block"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow></mml:math></disp-formula>

          <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the leaf conductance unaffected by O<sub>3</sub> exposure. By simultaneously solving Eqs. (2), (3), and (4), a quadratic term with respect to <inline-formula><mml:math id="M56" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> is obtained, which can be solved analytically.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experimental design and input data</title>
      <p id="d2e952">The simulation domain covers most of East Asia (Fig. S1 in the Supplement), centered at 36° N and 107° E. The horizontal resolution is 30 km, with 18 vertical layers. To quantify the independent contributions of aerosol, O<sub>3</sub> damage, and atmospheric nitrogen deposition to China's terrestrial carbon sink during 2010–2020, four sensitivity experiments were conducted (Table 1): a baseline simulation without these effects (Base), and three single-factor cases that enabled only aerosol (Ctrl_AOD), O<sub>3</sub>-induced vegetation damage (Ctrl_O<sub>3</sub>), and nitrogen deposition impacts (Ctrl_Ndep). In the Ctrl_AOD experiment, aerosols were fully coupled to meteorology, so that the direct aerosol radiative effect and the associated meteorological responses were represented in the simulations, while aerosol indirect effects through cloud processes were not included. The difference between each sensitivity case and the Base run represents the corresponding individual effect. All simulations were preceded by a one-year spin-up to reduce the influence of initial conditions. To further assess regional responses, China was divided into six representative subregions (Fig. S2), and statistical analyses were performed for each.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e985">Numerical model experiments.</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="justify" colwidth="2cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="2cm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="2.5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Simulations</oasis:entry>
         <oasis:entry colname="col2">Periods</oasis:entry>
         <oasis:entry colname="col3" align="left">Aerosol direct radiative effect</oasis:entry>
         <oasis:entry colname="col4" align="left">O<sub>3</sub> damage</oasis:entry>
         <oasis:entry colname="col5" align="left">Atmospheric nitrogen deposition</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Base</oasis:entry>
         <oasis:entry colname="col2">2010–2020</oasis:entry>
         <oasis:entry colname="col3" align="left">off</oasis:entry>
         <oasis:entry colname="col4" align="left">off</oasis:entry>
         <oasis:entry colname="col5" align="left">off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ctrl_AOD</oasis:entry>
         <oasis:entry colname="col2">2010–2020</oasis:entry>
         <oasis:entry colname="col3" align="left">on</oasis:entry>
         <oasis:entry colname="col4" align="left">off</oasis:entry>
         <oasis:entry colname="col5" align="left">off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ctrl_O<sub>3</sub></oasis:entry>
         <oasis:entry colname="col2">2010–2020</oasis:entry>
         <oasis:entry colname="col3" align="left">off</oasis:entry>
         <oasis:entry colname="col4" align="left">on</oasis:entry>
         <oasis:entry colname="col5" align="left">off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ctrl_Ndep</oasis:entry>
         <oasis:entry colname="col2">2010–2020</oasis:entry>
         <oasis:entry colname="col3" align="left">off</oasis:entry>
         <oasis:entry colname="col4" align="left">off</oasis:entry>
         <oasis:entry colname="col5" align="left">on</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1117">The initial and boundary meteorological fields were taken from the ECMWF (European Centre for Medium-Range Weather Forecasts) ERA-Interim reanalysis with a temporal resolution of 6 h and a horizontal resolution of 1.5° <inline-formula><mml:math id="M62" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.5° (Dee et al., 2011a; Hersbach et al., 2020). Aerosol initial and boundary conditions were provided by the global chemical transport model (MOZART) (Emmons et al., 2010; Horowitz et al., 2003). Background CO<sub>2</sub> fields were constrained by three-dimensional concentrations from NOAA CarbonTracker (CT) reanalysis (Peters et al., 2007). The initial parameters for the YIBs model were derived from soil carbon stocks based on equilibrium tree height and a 30-year harvest cycle (Yue and Unger, 2015). Vegetation cover was prescribed from MODIS and AVHRR (Advanced Very High Resolution Radiometer) datasets (Lawrence and Chase, 2007). Anthropogenic emissions in China were taken from the Multi-resolution Emission Inventory for China (MEIC) (Geng et al., 2024; Li et al., 2017; Zheng et al., 2018).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Validation data</title>
      <p id="d2e1144">We employed monthly mean aerosol optical depth (AOD) data from the MODIS sensor onboard NASA's Terra satellite (MOD08_M3.061). The data have a spatial resolution of 1° <inline-formula><mml:math id="M64" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° and are retrieved using three algorithms: the Dark Target, Deep Blue, and combined approaches (Levy et al., 2013). Ground-level O<sub>3</sub> observations were obtained from 366 monitoring stations operated by the China National Environmental Monitoring Center (CNEMC). To evaluate the model's capability in simulating atmospheric nitrogen deposition, we employed publicly available datasets (Liu et al., 2024; Zhu et al., 2025). These datasets integrate observations with model outputs to provide nitrogen deposition estimates at both global and regional scales over China. To assess the reliability of simulated CO<sub>2</sub>, we used observations from the World Data Centre for Greenhouse Gases (WDCGG). This dataset provides measured surface atmospheric CO<sub>2</sub> concentrations and was used to evaluate the model's ability to reproduce observed CO<sub>2</sub> levels. For the spatial distribution of CO<sub>2</sub>, we additionally used CO<sub>2</sub> concentration fields from CT (Peters et al., 2007). For GPP and net primary production (NPP) validation, we used the global MODIS products MOD17A2H and MOD17A3H (Collection 6). The GPP data, at 8 d resolution, were derived using the radiation use efficiency algorithm, while NPP (NPP <inline-formula><mml:math id="M71" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> GPP <inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> Ra) data were produced by annually accumulating GPP values, with a spatial resolution of 500 m (He et al., 2018; Madani et al., 2014).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Analytical Approach</title>
      <p id="d2e1232">Aerosol-induced meteorological changes are highly interdependent, making it challenging to isolate their individual effects on terrestrial carbon cycling. To quantify the relative contributions of these meteorological responses to vegetation carbon fluxes, we applied a multiple linear regression framework. Standardized regression coefficients were used to assess the relative influence of each climate variable. This approach has been widely demonstrated as effective for disentangling the impacts of multiple environmental drivers on ecosystem processes (Jung et al., 2017; Xie et al., 2025; Zhang et al., 2024).</p>
      <p id="d2e1235">The regression model is expressed as follows:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M73" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:msub><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi mathvariant="normal">RadD</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">RadF</mml:mi></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">Temp</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="normal">Precip</mml:mi></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">VPD</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math></inline-formula> denotes the difference in terrestrial carbon flux between the simulations Base and Ctrl_AOD, respectively. <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">RadD</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>,<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">RadF</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">Temp</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="normal">Precip</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="normal">VPD</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> denote the differences in direct radiation, diffuse radiation, temperature, precipitation, and vapor pressure deficit (VPD) between the simulations Base and Ctrl_AOD, respectively. <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the partial regression coefficient for different meteorological factors, indicating the sensitivity of carbon flux to variations in these factors. <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is the residual term of the regression model. We use the following equation to calculate the standardized regression coefficient <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for comparing the relative impacts of different meteorological factors:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M83" display="block"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="normal">SD</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SD</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">SD</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi mathvariant="normal">SD</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> represent the standard deviations of the changes in each meteorological factor and carbon flux, respectively. <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> quantifies the relative contribution of different meteorological factors to variations in carbon flux. This approach enables a quantitative assessment of the individual impacts of changes in each meteorological factor induced by aerosol radiative effects on terrestrial carbon flux.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Model validations</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Aerosols, surface ozone, and atmospheric nitrogen deposition</title>
      <p id="d2e1578">We assessed the RegESM performance by comparing the 2010–2020 simulations with multi-source observations. Simulated AOD showed good agreement with MODIS products in both spatial distribution and magnitude (Fig. 1a, b). High AOD values are located over the North China Plain and the Sichuan Basin, consistent with dense anthropogenic emissions in these regions (Luo et al., 2014). The observations indicate that the national mean AOD decreased from 0.36 in 2010 to 0.28 in 2020, driven by air quality improvement policies. We calculated statistical metrics, including the correlation coefficient (<inline-formula><mml:math id="M87" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), mean bias (MB), and root mean square error (RMSE), to evaluate the model performance (Fig. S3). The RegESM captures this trend with a correlation coefficient (<inline-formula><mml:math id="M88" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) of 0.71. However, compared with monthly MODIS AOD, the model shows a minor underestimation (MB <inline-formula><mml:math id="M89" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>), which can be attributed primarily to uncertainties in the anthropogenic emission inventories (Xie et al., 2020). Surface O<sub>3</sub> simulations reproduce both spatial patterns (Fig. 1c, d). The correlation with site observations reaches 0.72 (Fig. S4). High concentrations in the North China Plain, the Yangtze River Delta, and the Sichuan Basin are captured well, highlighting the model's skill in simulating O<sub>3</sub> fields. The simulated annual mean atmospheric nitrogen deposition flux ranges from 20 to 40 kg N ha<sup>−1</sup> yr<sup>−1</sup> in eastern agricultural and urban areas, consistent with reported values of 25–35 kg N ha<sup>−1</sup> yr<sup>−1</sup> (Fig. 1e, f). The simulated national mean of 15.09 kg N ha<sup>−1</sup> yr<sup>−1</sup> is close to the dataset range of 13.45–15.39 kg N ha<sup>−1</sup> yr<sup>−1</sup>. The model also reproduces the observed decline after the implementation of air pollution control policies in 2013, with a gradual decrease after 2015 (Fig. S5). These evaluations indicate that RegESM reliably simulates AOD, O<sub>3</sub>, and nitrogen deposition fields across China.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1739">Annual mean AOD <bold>(a, b)</bold>, maximum daily 8 h average (MDA8) O<sub>3</sub> <bold>(c, d)</bold>, and Atmospheric nitrogen deposition <bold>(e, f)</bold> from model simulation <bold>(a, c, e)</bold> and observations <bold>(b, d, f)</bold>.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Atmospheric CO<sub>2</sub> concentrations, GPP, and NPP</title>
      <p id="d2e1791">Simulated CO<sub>2</sub> concentrations were compared with six stations from the WDCGG. The correlation coefficients range from 0.83 to 0.96 (Table S1 in the Supplement). The YON site shows the best agreement (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>, MB <inline-formula><mml:math id="M106" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.10</mml:mn></mml:mrow></mml:math></inline-formula> ppm), likely due to minimal influence from terrestrial emissions. In contrast, HKG and HKO show larger biases, with overestimates of 3.1 ppm (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.83</mml:mn></mml:mrow></mml:math></inline-formula>) and 3.3 ppm (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.84</mml:mn></mml:mrow></mml:math></inline-formula>), probably linked to unaccounted variability in urban sources in monthly inventories. Nevertheless, the seasonal cycle is reproduced well at all sites (Fig. S6).</p>
      <p id="d2e1857">We further compared simulated CO<sub>2</sub> with the CarbonTracker CT2022 assimilation dataset (Peters et al., 2007). The spatial correlation coefficient reaches 0.72 (Fig. 2a, b). High CO<sub>2</sub> concentrations appear over the Beijing–Tianjin–Hebei region, the Yangtze River Delta, the Pearl River Delta, and the Sichuan Basin, consistent with intense industrial emissions. The model slightly overestimates values in the Pearl River Delta, likely due to underrepresented local sources and complex topography. Overall, RegESM effectively captures the spatial distribution of CO<sub>2</sub> concentrations.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1889">Annual mean CO<sub>2</sub> <bold>(a, b)</bold>, GPP <bold>(c, d)</bold>, and NPP <bold>(e, f)</bold> from model simulation <bold>(a, c, e)</bold> and observations <bold>(b, d, f)</bold>.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f02.png"/>

          </fig>

      <p id="d2e1924">Simulated GPP agrees well with MODIS in spatial distribution (Fig. 2c, d), with a spatial correlation of 0.89. However, GPP from this study is larger than MODIS GPP by 7.4 %, with largest differences in Central (11.6 %) and Southeast China (5.7 %). Other studies also found that MODIS GPP was underestimated at high values (Xie et al., 2019; Zhang et al., 2012). The southeast-to-northwest decreasing gradient is reproduced, with high values over regions dominated by forest ecosystems. The seasonal cycle of GPP is also captured (Fig. S7). The simulated NPP exhibits a spatial distribution consistent with the MODIS (Fig. 2e, f), with a spatial correlation coefficient of 0.86. Similar to GPP, the model overestimates NPP by 8.4 %, mainly due to the overestimation in Central (14.3 %) and Northeastern (6.2 %) China. These results confirm the model's ability to represent terrestrial carbon fluxes.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Impacts of Aerosols on Meteorology and Carbon Sinks</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Impacts of Aerosols on Meteorological Factors</title>
      <p id="d2e1944">During 2010–2020, the aerosol exerted a substantial influence on China's surface radiation and near-surface climate (Fig. 3). Nationally, aerosol scattering reduced downward direct solar radiation by 8.81 W m<sup>−2</sup> and increased its diffuse component by 3.04 W m<sup>−2</sup>, resulting in a net decrease of 5.77 W m<sup>−2</sup> in total downward shortwave radiation at the surface. Spatially, these radiative changes were most pronounced over major urban agglomerations such as the North China Plain, the Yangtze River Delta, and the Sichuan Basin, coinciding with regions of high AOD associated with intensive anthropogenic emissions. These results are consistent with previous modeling and satellite-based analyses (Wang et al., 2017; Xie et al., 2020), confirming the robustness of the simulated radiative forcing patterns.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1985">Annual mean changes in meteorological variables due to aerosol direct radiative effect during 2010–2020. <bold>(a)</bold> RadD, direct radiation; <bold>(b)</bold> RadF, diffuse radiation; <bold>(c)</bold> RadTot, total radiation; <bold>(d)</bold> Temp, air temperature; <bold>(e)</bold> Precip, precipitation; <bold>(f)</bold> VPD, vapor pressure deficit.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f03.png"/>

          </fig>

      <p id="d2e2013">The reduction in surface solar radiation directly perturbed the regional energy balance and atmospheric thermodynamics, resulting in a cooling effect over most of eastern and central China. As shown in Fig. 3d, surface air temperature decreased significantly in the Sichuan Basin and coastal regions, with local maxima reaching <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.10</mml:mn></mml:mrow></mml:math></inline-formula> °C. In contrast, western and northeastern China experienced weaker changes, consistent with lower AOD levels. The simulated national mean temperature decline of 0.32 °C agrees well with previous RegCM-based studies (Wang et al., 2015; Xie et al., 2020). This widespread cooling is primarily attributed to aerosol-induced dimming, which suppresses surface shortwave absorption and weakens boundary-layer turbulence, thereby inhibiting vertical heat exchange and reducing near-surface temperatures.</p>
      <p id="d2e2027">Aerosol also exerted a marked influence on regional hydrological processes. Precipitation decreased across much of southern and southwestern China, with notable reductions in Guangdong, Fujian, Yunnan, and Sichuan provinces, where daily rainfall decreased by up to 2 mm d<sup>−1</sup> (Fig. 3e). On average, national precipitation declined by 0.23 mm d<sup>−1</sup>. The reduction in rainfall reflects the combined effects of radiative cooling and weakened convective activity. Specifically, aerosol-induced surface dimming stabilizes the lower atmosphere and suppresses the upward transport of moisture, while reduced latent heating further limits convective cloud formation. These mechanisms together explain the widespread drying observed in the simulations.</p>
      <p id="d2e2054">The VPD, a key indicator of plant water stress, also responded sensitively to aerosol forcing. As shown in Fig. 3f, aerosols significantly reduced VPD over central and southeastern China, with decreases of <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula> hPa, and locally up to <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.20</mml:mn></mml:mrow></mml:math></inline-formula> hPa in Sichuan, Hebei, and Jiangsu. The national mean reduction was <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula> hPa. Lower VPD values imply a moister near-surface environment and weaker atmospheric demand for evapotranspiration. Ecologically, this alleviation of plant water stress can enhance stomatal conductance and facilitate photosynthetic carbon uptake, thereby partially compensating for the productivity loss caused by reduced solar radiation. Thus, the aerosol-induced decline in VPD represents an important indirect pathway through which aerosols modulate the terrestrial carbon cycle, linking atmospheric radiative forcing to ecosystem function.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Effects of Aerosols on the Terrestrial Carbon Sink</title>
      <p id="d2e2105">During 2010–2020, the aerosol overall enhanced the productivity of China's terrestrial ecosystems, increasing GPP and NEP by 293.28 and 17.93 TgC yr<sup>−1</sup>, accounting for 3.98 % and 4.49 % of the national totals, respectively. Aerosols also increased Rh by 182.44 TgC yr<sup>−1</sup> over China, indicating that part of the aerosol-induced carbon sink enhancement was offset by enhanced soil carbon decomposition. Spatially, the responses of GPP and NEP to the aerosol radiative effect displayed significant heterogeneity, with the most pronounced enhancements occurring in South Central and East (Fig. 4a, b), where GPP increased by 0.32 and 0.31 gC m<sup>−2</sup> d<sup>−1</sup>, respectively. These regions are characterized by dense forests and cropland ecosystems with high leaf area index, enabling them to fully exploit the additional diffuse radiation induced by aerosols. Meanwhile, the high aerosol loading in these regions ensured sufficient radiative perturbation, amplifying the improvement in canopy light-use efficiency. The spatial pattern of aerosol-induced Rh (Fig. S10a) further shows notable increases in southern China, broadly consistent with the regions of enhanced ecosystem productivity, suggesting that greater carbon input to soils likely stimulated microbial decomposition and partially counteracted the NEP gain. In the Southwest, the response was more complex. Although the mean GPP increased by 0.20 gC m<sup>−2</sup> d<sup>−1</sup>, parts of Yunnan showed a negative effect. This reduction likely results from excessive attenuation of solar radiation under the region's unique topographic and climatic conditions, which constrained photosynthetic activity. Nevertheless, NEP in this region remained positive (approximately 0.01 gC m<sup>−2</sup> d<sup>−1</sup>), suggesting that the cooling effect of aerosols substantially suppressed ecosystem respiration, thereby compensating for the reduced photosynthesis. In contrast, the North and Northwest exhibited weak positive responses (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> gC m<sup>−2</sup> d<sup>−1</sup>), while the Northeast showed slight inhibition (<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> gC m<sup>−2</sup> d<sup>−1</sup>), probably due to aerosol-induced cooling delaying the onset of the growing season. Overall, the spatial patterns of GPP and NEP responses to the aerosol radiative effect show a clear latitudinal gradient: the humid, high-biomass ecosystems in southern and eastern China are most sensitive to diffuse radiation enhancement, whereas the high-latitude and arid regions experience limited or even negative responses due to temperature and radiation constraints.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2276">Spatiotemporal variations in carbon flux changes caused by the aerosol radiative effect during 2010–2020. <bold>(a–b)</bold> Multi-year mean spatial patterns of GPP and NEP changes caused by the aerosol radiative effect. National totals are shown in each panel. Black dots denote significant changes (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(c–d)</bold> Interannual variations of GPP and NEP changes caused by the aerosol radiative effect.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f04.png"/>

          </fig>

      <p id="d2e2303">From 2010 to 2020, the influence of aerosols on carbon fluxes exhibited distinct interannual variability (Fig. 4c, d). Both GPP and NEP showed an upward trend before 2016, with GPP increasing from 214.66 TgC yr<sup>−1</sup> in 2010 to 384.00 TgC yr<sup>−1</sup> in 2016, and NEP rising from 13.54 to 21.31 TgC yr<sup>−1</sup>. The synchronous growth of GPP and NEP indicates that the aerosol radiative effect enhanced terrestrial carbon uptake mainly through photosynthetic activity. The strong enhancement during 2015–2017 coincided with years of high aerosol loading and a greater proportion of diffuse radiation, which improved canopy light-use efficiency under humid and cloudy conditions. After 2018, the positive effect weakened slightly and stabilized at a lower level. This reduction likely reflects the combined influence of cleaner atmospheric conditions and changing meteorological patterns, including increased direct radiation and a reduced diffuse fraction. Year-to-year variations were further modulated by hydroclimatic conditions: higher humidity and cloud cover enhanced aerosol scattering efficiency, while drier or cleaner years favored direct radiation and weakened the diffuse light advantage. Moreover, the smaller NEP fluctuations compared to GPP imply a delayed response of ecosystem respiration, as aerosol-induced cooling moderates' respiration more gradually than photosynthesis. Overall, the interannual variability of GPP and NEP responses to the aerosol radiative effect highlights the coupled influences of aerosol loading, radiation balance, and regional climate variability on China's terrestrial carbon sink dynamics.</p>
      <p id="d2e2343">The effects of aerosols on GPP and NEP show pronounced seasonal variation (Fig. S8), driven by the dynamic coupling between vegetation phenology and environmental factors. In spring (March–May), aerosols increase GPP by 42.35 TgC (14.4 %) and NEP by 2.82 TgC (15.7 %), making a notable contribution at the start of the growing season as rising temperatures and rapid canopy expansion enhance diffuse radiation benefits, improving light-use efficiency; meanwhile, moderate cooling suppresses respiration without causing thermal stress, further boosting NEP. In summer (June–August), positive effects peak, with GPP rising by 173.62 TgC (59.2 %) and NEP by 10.15 TgC (56.6 %); under high solar radiation and full canopy closure, diffuse light penetration reaches its maximum, while cooling alleviates heat stress and reduces respiration, driving NEP to its annual maximum. In autumn (September–November), aerosols add 88.38 TgC to GPP (30.1 %) and 3.95 TgC to NEP (22.0 %), effectively extending the photosynthetic period as shorter days and reduced total radiation increase the proportion of diffuse light, sustaining carbon storage. In winter (December–February), GPP declines slightly (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.07</mml:mn></mml:mrow></mml:math></inline-formula> TgC, <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> %), but NEP shows a small positive gain (1.01 TgC, 5.6 %) because cooling strongly suppresses respiration, offsetting reduced photosynthesis. Overall, aerosol radiative effects regulate seasonal carbon cycling by modifying radiation and thermal conditions. The net impact depends on the trade-off between the fertilization effect of diffuse radiation and the opposing effects of reduced total radiation and cooling. Summer emerges as the primary driver of the annual net positive effect. Accurately quantifying this seasonal dynamic is crucial for assessing the ecological and climatic consequences of anthropogenic aerosols.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Contributions of Meteorological Factors to Carbon Sink Changes</title>
      <p id="d2e2374">We quantified the independent contributions of aerosol-induced meteorological changes to carbon fluxes using the multiple linear regression analysis described in Sect. 2.5 (Fig. 5a, b). Overall, aerosol substantially influenced China's terrestrial carbon uptake by altering radiation composition and meteorological conditions. At the national scale, the increase in diffuse radiation emerged as the dominant positive driver, contributing to GPP (325.07 TgC yr<sup>−1</sup>) and NEP (11.46 TgC yr<sup>−1</sup>). This highlights the crucial role of the diffuse radiation fertilization effect, particularly in regions with high aerosol loading across eastern and southwestern China, where enhanced diffuse light improves canopy light distribution and photosynthetic efficiency. In contrast, the reduction in direct radiation suppressed GPP (94.78 TgC yr<sup>−1</sup>) and NEP (2.59 TgC yr<sup>−1</sup>) due to insufficient illumination, though the impact on NEP was weaker, reflecting partial offset by the reduction in ecosystem respiration under aerosol-induced cooling. Cooling alone reduced GPP by 59.62 TgC yr<sup>−1</sup> and NEP by 4.73 TgC yr<sup>−1</sup>. This decline in NEP occurred because the decrease in GPP (driven by reduced transpiration and stomatal conductance) outweighed the concurrent reduction in ecosystem respiration. Meanwhile, lower VPD enhanced GPP by 114.44 TgC yr<sup>−1</sup> and NEP by 8.25 TgC yr<sup>−1</sup> by alleviating water stress, reinforcing photosynthetic carbon uptake. Changes in precipitation played only a minor role, slightly reducing GPP (8.17 TgC yr<sup>−1</sup>) and NEP (0.62 TgC yr<sup>−1</sup>), with limited influence even in the monsoon regions of southern China. These findings indicate that variations in radiation components, rather than hydrometeorological perturbations, serve as the primary pathway through which aerosols modulate terrestrial carbon sinks.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2500">Effect of aerosol-induced changes in meteorological factors on GPP and NEP, and spatial patterns of dominant factors. <bold>(a)</bold> Regional contributions of individual meteorological factors to GPP; <bold>(b)</bold> Regional contributions of individual meteorological factors to NEP; <bold>(c)</bold> Spatial distribution of the dominant meteorological factor for GPP; <bold>(d)</bold> Spatial distribution of the dominant meteorological factor for NEP.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f05.png"/>

          </fig>

      <p id="d2e2521">Regionally, among these factors, diffuse radiation exerted the strongest positive influence on GPP across all regions, particularly in the Southwest (115.92 TgC yr<sup>−1</sup>), East (67.04 TgC yr<sup>−1</sup>), and South Central (93.08 TgC yr<sup>−1</sup>) China (Fig. 5a, b). Enhanced diffuse light under elevated aerosol loading improved the vertical distribution of photosynthetically active radiation within the canopy and increased photosynthetic efficiency. In contrast, direct radiation consistently exhibited negative effects, most evident in the southwest (42.32 TgC yr<sup>−1</sup>) and east (22.92 TgC yr<sup>−1</sup>), indicating that aerosol-induced solar dimming partly offset the diffuse radiation fertilization benefit. Temperature changes associated with aerosol cooling suppressed GPP nationwide, especially in the Southwest (29.07 TgC yr<sup>−1</sup>) and South Central (16.19 TgC yr<sup>−1</sup>), by lowering canopy temperature and reducing evapotranspiration. The contributions of precipitation were minor (1 to 3 TgC yr<sup>−1</sup>), while VPD exerted a positive effect, particularly in humid Southwest (55.76 TgC yr<sup>−1</sup>), suggesting that aerosol-induced cooling and moistening alleviated water stress and indirectly promoted carbon uptake. For NEP, diffuse radiation remained the dominant positive driver, with the largest increases in the Southwest (4.06 TgC yr<sup>−1</sup>) and south-central (3.35 TgC yr<sup>−1</sup>) China, while direct radiation continued to exert negative effects. The temperature effect was moderate but consistent with GPP, implying that aerosol cooling simultaneously suppressed photosynthesis and respiration, with a net positive outcome for NEP. Taken together, these spatial contrasts highlight the combined effects of aerosol composition, vegetation structure, and regional hydroclimate, emphasizing that radiative forcing dominates in humid, high-biomass ecosystems, whereas climatic constraints prevail in arid zones.</p>
      <p id="d2e2658">To further clarify the dominant controls of these spatial differences, we identified the primary meteorological drivers of GPP and NEP based on the standardized regression coefficients (Fig. 5c, d, and Table 2). The results indicate that for GPP, diffuse radiation accounts for the largest proportion (77.83 %), followed by vapor pressure deficit (9.27 %) and direct radiation (8.4 %), while the influence of temperature (4.45 %) and precipitation (0.05 %) is relatively small. For NEP, diffuse radiation remains the dominant driver (72.20 %), followed by direct radiation (15.92 %) and temperature (5.64 %). These results highlight that aerosols modify the radiation composition, particularly by enhancing diffuse radiation, which substantially increases photosynthetic efficiency and strengthens the regional carbon sink. In contrast, the effects of temperature and VPD are weaker overall but more pronounced in northern arid and semi-arid regions, where water limitation constrains carbon uptake. Collectively, these findings confirm that radiation composition primarily controls the spatiotemporal dynamics of China's terrestrial carbon sink, while temperature and moisture factors exert region-dependent modulations.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2664">Proportion of dominant meteorological factors for GPP and NEP across China (Units: %).</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Factors</oasis:entry>
         <oasis:entry colname="col2">RadD (%)</oasis:entry>
         <oasis:entry colname="col3">RadF (%)</oasis:entry>
         <oasis:entry colname="col4">Temp (%)</oasis:entry>
         <oasis:entry colname="col5">Precip (%)</oasis:entry>
         <oasis:entry colname="col6">VPD (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">GPP</oasis:entry>
         <oasis:entry colname="col2">8.40</oasis:entry>
         <oasis:entry colname="col3">77.83</oasis:entry>
         <oasis:entry colname="col4">4.45</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">9.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NEP</oasis:entry>
         <oasis:entry colname="col2">15.92</oasis:entry>
         <oasis:entry colname="col3">72.20</oasis:entry>
         <oasis:entry colname="col4">5.64</oasis:entry>
         <oasis:entry colname="col5">0.14</oasis:entry>
         <oasis:entry colname="col6">6.10</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Effects of surface ozone on carbon sinks</title>
      <p id="d2e2766">During 2010–2020, surface O<sub>3</sub> in China increased and imposed a persistent suppression on terrestrial carbon sinks. Simulations show a strong reduction of GPP by 0.4–0.6 gC m<sup>−2</sup> d<sup>−1</sup> in most regions, with more than 0.8 gC m<sup>−2</sup> d<sup>−1</sup> in Southeast and Southwest China (Fig. 6a). NEP shows a similar spatial pattern (Fig. 6b). The largest decline occurs in the southeast (Yangtze River basin and South China coast), with NEP reduced by 0.06–0.08 gC m<sup>−2</sup> d<sup>−1</sup> and locally above 0.1 gC m<sup>−2</sup> d<sup>−1</sup>, consistent with high O<sub>3</sub> and evergreen broadleaf forests (Yue et al., 2017). In the southwest (Sichuan Basin and Yunnan–Guizhou Plateau), NEP decreases by 0.03–0.06 gC m<sup>−2</sup> d<sup>−1</sup>, related to complex terrain and dense forests. Impacts are weaker in Northeast and Northwest China, mostly below 0.02 gC m<sup>−2</sup> d<sup>−1</sup>. In Shandong, Henan, and northern Jiangsu, the simulated losses are small, reflecting cropland-dominated land cover. However, earlier studies reported strong O<sub>3</sub> effects on crops (Ren et al., 2012), suggesting possible underestimation. This bias may stem from the simplified crop representation in the model (Fig. S2). Nationwide, O<sub>3</sub> reduces GPP and NEP by 749.44 and 51.33 TgC yr<sup>−1</sup>, accounting for 10.17 % and 12.90 % of the totals. O<sub>3</sub> also decreased Rh by 288.17 TgC yr<sup>−1</sup>, with the strongest reductions occurring in eastern and southern China (Fig. S10b). This indicates that the O<sub>3</sub>-induced suppression of ecosystem carbon uptake was partly offset by a concurrent decline in heterotrophic respiration. This pattern suggests that reduced photosynthesis and carbon allocation under O<sub>3</sub> stress decreased litter input and belowground carbon supply, thereby limiting microbial substrate availability and weakening soil carbon decomposition. The suppression is attributed to reduced photosynthesis, altered stomatal conductance, and shifts in carbon allocation, which together weaken ecosystem sinks.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3005">Spatiotemporal variations in O<sub>3</sub>-induced changes in carbon fluxes during 2010–2020. <bold>(a–b)</bold> Multi-year mean spatial patterns of O<sub>3</sub>-induced changes in GPP and NEP. National totals are shown in each panel. Black dots denote significant changes (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(c)</bold> Interannual variation of O<sub>3</sub>-induced NEP. <bold>(d)</bold> O<sub>3</sub>-induced monthly variations in GPP, NPP, and NEP.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f06.png"/>

        </fig>

      <p id="d2e3072">The annual effect intensifies until 2018 and then weakens (Fig. 6c). In 2010, O<sub>3</sub> reduces NEP by 42.93 TgC yr<sup>−1</sup>, reaching 55.71 TgC yr<sup>−1</sup> in 2018. It then decreases to 51.98 TgC yr<sup>−1</sup> in 2019 and 51.77 TgC yr<sup>−1</sup> in 2020. These variations reflect air pollution control policies. Between 2013 and 2017, the first Clean Air Action reduced PM<sub>2.5</sub> and NO<sub><italic>x</italic></sub> but left volatile organic compounds (VOCs) largely uncontrolled, thereby enhancing O<sub>3</sub> formation, especially in VOCs-limited regions (Lu et al., 2020). Both model and observations show higher O<sub>3</sub> during this stage (Fig. S4). After 2018, the second Clean Air Action introduced coordinated control of NO<sub><italic>x</italic></sub> and VOCs in the Yangtze River Delta and Pearl River Delta, reducing O<sub>3</sub> during summer and easing sink suppression in 2019–2020. In contrast, O<sub>3</sub> continued to rise in North China, indicating uneven policy outcomes across regions.</p>
      <p id="d2e3198">Seasonal effects are distinct (Figs. 6d and S9). Summer shows the strongest suppression, with NEP reduced by 29.10 TgC (56.69 % of the annual effect). This results from the overlap of peak O<sub>3</sub> and peak photosynthesis, when high temperature and humidity keep stomata open and allow O<sub>3</sub> uptake. Spring is second, with NEP reduced by 11.67 TgC (22.74 %). The effect is linked to leaf expansion, rapid growth, and frequent transport events. Autumn and winter show weaker impacts due to lower photosynthesis, unfavorable O<sub>3</sub> chemistry, and reduced stomatal conductance. Regional differences are evident: in the south, suppression extends from spring to late autumn, while in the north it is confined to summer. This highlights the role of climate and phenology in modulating the impact of O<sub>3</sub> on carbon sinks.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Effects of atmospheric nitrogen deposition on carbon sinks</title>
      <p id="d2e3245">The response of China's terrestrial ecosystems to atmospheric nitrogen deposition during 2010–2020 shows pronounced spatial heterogeneity (Fig. 7a, b). At the national scale, nitrogen deposition increased GPP and NEP by 668.88 and 37.98 TgC yr<sup>−1</sup>, respectively. These increases account for 9.08 % of total GPP and 9.52 % of total NEP. Atmospheric nitrogen deposition also increased Rh by 297.26 TgC yr<sup>−1</sup> over China, indicating that the nitrogen-induced enhancement of carbon uptake was accompanied by stronger soil carbon decomposition. The net gains were mainly concentrated in the southeastern, southwestern, and central regions. In these areas, NEP increased by 0.04–0.08 gC m<sup>−2</sup> d<sup>−1</sup>, forming the dominant contribution to the nitrogen-induced carbon sink. Although atmospheric nitrogen deposition is highest in eastern China (Fig. 2e, f), the regional variations in GPP and NEP induced by nitrogen deposition are more pronounced in southern China than in the east. The strong spatial gradient highlights that the ecological effects of nitrogen deposition are not uniform, but tightly linked to anthropogenic nitrogen emissions and ecosystem sensitivity (Shang et al., 2024). High responses were observed in regions with intensive agriculture and industry, where deposition exceeded 15 kg N ha<sup>−1</sup> yr<sup>−1</sup>. Vegetation dominated by subtropical evergreen broadleaf forests, mixed forests, and croplands is generally nitrogen-limited. Additional nitrogen input alleviated nutrient constraints, enhanced photosynthesis and biomass accumulation, and shifted soil microbial processes. The spatial pattern of Rh (Fig. S10c) also shows pronounced positive responses in southern China, consistent with the regions of strong nitrogen-induced carbon uptake. This suggests that enhanced plant production and carbon input to soils stimulated microbial decomposition, so that the final NEP gain reflects the balance between increased NPP and increased Rh rather than a simple linear fertilization effect. When stimulation of GPP and NPP outweighed the increase in ER, NEP rose. Warm and humid climates, together with long growing seasons, further amplified these effects.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3323">Spatiotemporal variations in Ndep-induced changes in carbon fluxes during 2010–2020. <bold>(a–b)</bold> Multi-year mean spatial patterns of Ndep-induced changes in GPP and NEP. National totals are shown in each panel. Black dots denote significant changes (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(c–d)</bold> Interannual variation of Ndep-induced in GPP and NEP.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f07.png"/>

        </fig>

      <p id="d2e3350">The impacts of nitrogen deposition on GPP and NEP varied strongly over time (Fig. 7c, d). In 2010, deposition enhanced NEP by 36.45 TgC yr<sup>−1</sup>. The effect increased to a peak of 42.50 TgC yr<sup>−1</sup> in 2012, but then declined, reaching 34.65 TgC yr<sup>−1</sup> by 2020. This trajectory reflects the influence of China's air pollution control policies on ecosystem carbon dynamics. The temporal trend corresponds to changes in nitrogen deposition fluxes. Between 2010 and 2012, rapid industrialization and agriculture raised deposition from 15.85 to 17.91 kg N ha<sup>−1</sup> yr<sup>−1</sup> (<inline-formula><mml:math id="M219" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>13 %). After 2013, emission reduction policies reduced nitrogen deposition, which fell to 13.25 kg N ha<sup>−1</sup> yr<sup>−1</sup> in 2020 (<inline-formula><mml:math id="M222" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>26.02 %). Notably, the effect of nitrogen deposition on NEP leveled off after 2015, which can be attributed to the slower decline rate of atmospheric nitrogen deposition since 2015 (Fig. S5). The reduction in NEP (<inline-formula><mml:math id="M223" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>18.47 %) was smaller than that in nitrogen input. This lagged response suggests that soil nitrogen pools accumulated from long-term deposition continued to supply nitrogen to vegetation, buffering the decline.</p>
      <p id="d2e3460">The influence of nitrogen deposition on NEP displayed clear seasonality (Fig. 8). Strong positive effects occurred in summer and spring, whereas autumn and winter showed overall suppression at the national scale. Summer accounted for the largest gain, with an NEP increase of 27.16 TgC. Spring followed with 14.12 TgC. In contrast, autumn and winter reduced NEP by 0.20 and 3.10 TgC, respectively. These seasonal differences result from the combined influence of multiple factors. During summer, optimal temperature, light, and water supported vigorous canopy photosynthesis. Plants assimilated nitrogen efficiently, leading to higher GPP and biomass accumulation. Spring growth stages were also nitrogen-sensitive, producing strong positive responses. In autumn and winter, however, plant activity slowed. Nitrogen inputs mainly stimulated heterotrophic respiration, while GPP and NPP remained low. As a result, NEP decreased, and carbon sink strength weakened outside the growing season. However, the negative response in autumn and winter was not spatially uniform. Positive NEP anomalies were still evident in parts of the eastern Qinghai–Tibet Plateau and western Sichuan, especially in autumn (Fig. 8c), whereas in winter this signal became much weaker and more localized (Fig. 8d). This spatial heterogeneity likely reflects the combined effects of persistent nitrogen limitation and weak heterotrophic respiration responses under cold, high-elevation conditions. In these regions, low temperatures constrain soil decomposition more strongly, so the stimulation of heterotrophic respiration by additional nitrogen is limited. Meanwhile, alpine grasslands, shrublands, and montane forests may still maintain some residual photosynthetic activity during the late growing season, allowing deposited nitrogen to support carbon uptake. As a result, nitrogen deposition can still enhance NEP locally in autumn, even though most other regions show seasonal carbon sink weakening.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3465">Spatial distribution of Ndep-induced seasonal variations in NEP during 2010–2020 (units: gC m<sup>−2</sup> d<sup>−1</sup>). <bold>(a)</bold> Spring, including March, April, and May. <bold>(b)</bold> Summer, including June, July, and August. <bold>(c)</bold> Autumn, including September, October, and November. <bold>(d)</bold> Winter, including January, February, and December.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Integrated Impact Analysis</title>
      <p id="d2e3520">To assess the combined influence of aerosols, O<sub>3</sub>, and atmospheric nitrogen deposition on China's terrestrial carbon sink, the three independent effects were algebraically summed. During 2010–2020, the co-evolution of these atmospheric factors jointly drove substantial interannual variability and stage-dependent changes in carbon uptake, closely linked to the implementation of the CAA plan. The interannual trend (Fig. 9) shows that although aerosols and nitrogen deposition generally enhanced carbon sequestration, the strong carbon loss caused by O<sub>3</sub> largely offset these positive effects. The mean net effect was 4.58 TgC yr<sup>−1</sup>, exhibiting pronounced fluctuations and a declining trend. Net enhancement was strong in the early years of the decade but weakened steadily and approached neutral levels by 2018–2020, when a slight negative value (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> TgC yr<sup>−1</sup>) first appeared. These changes indicate a gradual transition from an enhancement-dominated to an inhibition-dominated regime.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3577">The overall impacts of aerosols, O<sub>3</sub>, and atmospheric nitrogen deposition on the terrestrial carbon sink in China during 2010–2020. <bold>(a)</bold> Interannual variations of the combined effects. Pre-CAA represents the period before the implementation of the Clean Air Action (2010–2013); CAA Phase I and CAA Phase II represent the first (2014–2017) and second (2018–2020) stages of the CAA, respectively. <bold>(b–d)</bold> Spatial distributions of the annual means during the Pre-CAA, CAA Phase I, and CAA Phase II periods.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5925/2026/acp-26-5925-2026-f09.png"/>

        </fig>

      <p id="d2e3601">To further interpret this transition, the study period was divided into three phases according to key CAA milestones, and the dominant factors were identified (Fig. 9a). In pre-CAA (2010–2013), the mean annual net effect reached 8.22 TgC yr<sup>−1</sup>, characterized by nitrogen-deposition-dominated enhancement. Nitrogen deposition provided the largest positive contribution (<inline-formula><mml:math id="M233" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>39.47 TgC yr<sup>−1</sup>), while the diffuse-radiation fertilization effect of aerosols offered a secondary gain (<inline-formula><mml:math id="M235" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>16.08 TgC yr<sup>−1</sup>). The negative impact of O<sub>3</sub> (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">47.33</mml:mn></mml:mrow></mml:math></inline-formula> TgC yr<sup>−1</sup>) was largely compensated by the two positive drivers, resulting in a pronounced increase in carbon sink strength. This stage corresponded to relatively high emissions of aerosol and nitrogen precursors, which maintained elevated aerosol loading and nitrogen deposition, while O<sub>3</sub> pollution had not yet reached the stronger suppressive level observed in later years. During CAA Phase I (2014–2017), the mean net effect decreased sharply to 3.50 TgC yr<sup>−1</sup>, marking a transitional stage with competing influences. The positive effect of aerosols peaked (<inline-formula><mml:math id="M242" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>19.22 TgC yr<sup>−1</sup>), likely because aerosol changes during this period were more favorable for diffuse-radiation fertilization, despite the concurrent declines in both scattering and absorbing aerosols. However, this gain was largely offset by intensified O<sub>3</sub>-induced inhibition (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.80</mml:mn></mml:mrow></mml:math></inline-formula> TgC yr<sup>−1</sup>). This phase coincided with strong reductions in emissions of SO<sub>2</sub>, PM<sub>2.5</sub> and NO<sub><italic>x</italic></sub> under the first Clean Air Action (Fig. S11), which substantially altered atmospheric composition. Although declining aerosol loading weakened the total radiative perturbation, the remaining aerosol conditions still supported a strong diffuse-radiation effect. Meanwhile, insufficient VOCs control favored O<sub>3</sub> formation in many regions, thereby amplifying O<sub>3</sub>-induced suppression of the carbon sink. In CAA Phase II (2018–2020), the mean net effect further declined to 1.19 TgC yr<sup>−1</sup>, forming an O<sub>3</sub>-dominated pattern. This stage was associated with further declines in aerosol concentrations and nitrogen deposition under continued emission reductions, which weakened their positive contributions to NEP. At the same time, the coordinated control of NO<sub><italic>x</italic></sub> and VOCs in key regions partly alleviated O<sub>3</sub> pollution, but this improvement was not sufficient to reverse the dominant suppressive role of O<sub>3</sub> at the national scale. Overall, the stage-dependent changes in the net carbon sink effect were broadly consistent with the temporal evolution of anthropogenic emissions during 2010–2020 (Fig. S11), highlighting the strong imprint of CAA-related emission controls on the balance among aerosols, O<sub>3</sub>, and nitrogen deposition. With continued emission control, the aerosol-induced enhancement decreased from its peak (<inline-formula><mml:math id="M258" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>18.66 TgC yr<sup>−1</sup>), and the nitrogen-deposition gain weakened (<inline-formula><mml:math id="M260" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>35.68 TgC yr<sup>−1</sup>). Although O<sub>3</sub> suppression slightly eased (<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.15</mml:mn></mml:mrow></mml:math></inline-formula> TgC yr<sup>−1</sup>), it still nearly balanced the combined positive contributions, indicating a fundamental shift in atmospheric drivers controlling China's terrestrial carbon sink.</p>
      <p id="d2e3933">The spatial overlay further supports these findings (Fig. 9b, c, d). In forested and industrialized regions of eastern and southern China, the cancellation between positive and negative effects was most pronounced. These areas, benefiting from nitrogen and aerosol fertilization but suffering from intense O<sub>3</sub> pollution, became hotspots of weakened or even reversed net effects. Overall, the CAA plan not only improved air quality but also altered atmospheric composition in ways that substantially affected China's terrestrial carbon sinks. Policy-driven emission changes transformed the system from a nitrogen–aerosol-enhanced regime to an O<sub>3</sub>-dominated offset pattern. These results suggest that achieving synergistic benefits between air-quality improvement and carbon neutrality requires elevating O<sub>3</sub> mitigation to a higher strategic priority.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Uncertainties</title>
      <p id="d2e3971">Although the RegESM framework captures the overall spatiotemporal variations of China's terrestrial carbon sink in response to atmospheric composition changes, several uncertainties remain that may influence the quantitative assessment of the individual and combined effects of aerosols, O<sub>3</sub>, and nitrogen deposition.</p>
      <p id="d2e3983">First, this study only considered the direct radiative effects of aerosols, while aerosol–cloud interactions were excluded. The first and second indirect effects of aerosols on cloud formation and albedo involve large uncertainties (Haywood and Boucher, 2000) and were therefore not represented in our simulations. However, observations have shown that terrestrial carbon fluxes are highly sensitive to sky conditions and diffuse radiation changes (Oliphant et al., 2011; Yue and Unger, 2017). The omission of aerosol–cloud interactions may affect the magnitude and spatial pattern of aerosol impacts on radiation and photosynthesis, as cloud-mediated diffuse radiation responses remain uncertain. Future work should explicitly include aerosol–cloud–radiation feedbacks to better quantify their effects on ecosystem carbon exchange.</p>
      <p id="d2e3986">Second, uncertainties remain in evaluating vegetation responses to O<sub>3</sub> exposure. Field-based O<sub>3</sub> fumigation experiments across China are still limited, making it difficult to comprehensively assess ecosystem-level damage. In this study, the YIBs model applied different O<sub>3</sub> damage coefficients for plant functional types, and the parameterization has shown reasonable regional performance in simulating GPP–O<sub>3</sub> responses (Yue et al., 2017). Nevertheless, a wider range of site-level observations is required to constrain the O<sub>3</sub> damage functions across various vegetation types and climate zones at the national scale.</p>
      <p id="d2e4034">Third, nonlinear coupling among aerosols, O<sub>3</sub>, and nitrogen deposition introduces systemic uncertainty in estimating their combined effects. Aerosol reduction alters photolysis rates and thereby affects O<sub>3</sub> formation (Tang et al., 2017; Yan et al., 2023; Yang et al., 2022), while O<sub>3</sub> and nitrogen jointly regulate stomatal conductance, photosynthetic efficiency, and water-use dynamics (Sitch et al., 2007; Zhang et al., 2018). In addition, the coexisting effects of these three drivers may not be strictly additive. Aerosol effects and O<sub>3</sub> damage may be partly antagonistic, as aerosol-induced changes in diffuse radiation, temperature, and vapor pressure deficit can modulate stomatal uptake and the physiological stress caused by O<sub>3</sub>. Nitrogen deposition may partly offset O<sub>3</sub>-induced reductions in plant productivity by alleviating nutrient limitation, whereas the interaction between aerosols and nitrogen deposition may vary regionally because nitrogen availability can influence the extent to which vegetation benefits from aerosol-induced radiation changes. These interactions may amplify or offset each other under changing climatic conditions, and the real-world coexisting effects of these atmospheric drivers may therefore differ from the linear sum of their independently quantified contributions. In the present study, the three factors were quantified separately to isolate their first-order effects, while a full assessment of their two-way and three-way interactions would require a dedicated factorial experimental framework. Therefore, although nonlinear interactions may modify the quantitative magnitudes of the simulated responses, the overall conclusion that the positive contributions of aerosols and nitrogen deposition weakened while the suppressive influence of O<sub>3</sub> became increasingly important during 2010–2020 is expected to remain qualitatively robust. These limitations further emphasize the need for high-resolution, fully coupled chemistry–ecosystem modeling frameworks to capture the co-evolution of multiple atmospheric processes.</p>
      <p id="d2e4102">In summary, despite these uncertainties, this study provides robust quantitative evidence that aerosols, O<sub>3</sub>, and nitrogen deposition jointly modified the magnitude and spatial distribution of China's terrestrial carbon sink during 2010–2020. Future efforts should focus on incorporating aerosol–cloud interactions, expanding field-based O<sub>3</sub> response networks, and improving representation of multi-process coupling and nonlinear interactions to further constrain atmospheric–biosphere feedbacks under China's evolving air quality and carbon neutrality goals.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e4132">This study employed the RegESM to quantify the effects of aerosol, surface O<sub>3</sub>, and nitrogen deposition on China's terrestrial carbon sink during 2010–2020. The model effectively reproduced the spatial and temporal variations of aerosol optical depth, O<sub>3</sub>, nitrogen deposition, and carbon fluxes, providing a solid basis for process-level attribution analysis.</p>
      <p id="d2e4153">Aerosols exerted a substantial positive influence on China's terrestrial carbon sink. On average, aerosols enhanced GPP and NEP by 293.28 TgC yr<sup>−1</sup> (3.98 %) and 17.93 TgC yr<sup>−1</sup> (4.49 %), respectively, primarily through the diffuse radiation fertilization effect. The strongest enhancement appeared in southern and eastern China, where high aerosol loading and dense vegetation synergistically improved canopy light-use efficiency. Aerosol-induced surface cooling and reduced VPD further alleviated water stress and stimulated carbon uptake. The enhancement peaked during 2015–2017, coinciding with elevated diffuse radiation fractions, and weakened slightly under cleaner atmospheric conditions after 2018.</p>
      <p id="d2e4180">In contrast, surface O<sub>3</sub> persistently suppressed ecosystem carbon uptake, reducing GPP and NEP by 749.44 TgC yr<sup>−1</sup> (10.17 %) and 51.33 TgC yr<sup>−1</sup> (12.90 %), respectively. The strongest suppression occurred in southeastern and southwestern China, where dense forest ecosystems coincided with high O<sub>3</sub> concentrations. O<sub>3</sub>-induced damage peaked in 2018, consistent with the exceptionally high O<sub>3</sub> levels. Subsequent coordinated NO<sub><italic>x</italic></sub>–VOCs management under the second Clean Air Action partially mitigated O<sub>3</sub> levels and NEP suppression. O<sub>3</sub> exerted a strongly seasonal negative impact on NEP, with the strongest suppression occurring in summer.</p>
      <p id="d2e4271">Atmospheric nitrogen deposition enhanced the terrestrial carbon sink by 9.08 % for GPP and 9.52 % for NEP, with effects concentrated in southern and central China. The enhancement peaked around 2012, declined gradually after 2013 following reduced anthropogenic emissions, and leveled off after 2015, corresponding to a slower decline in deposition and a lagged ecosystem response due to soil nitrogen accumulation. Seasonal variations showed stronger stimulation in summer and spring, while autumn and winter exhibited minor reductions linked to enhanced respiration.</p>
      <p id="d2e4275">During 2010–2020, the combined effects of aerosols, surface O<sub>3</sub>, and atmospheric nitrogen deposition on China's terrestrial carbon sink exhibited marked interannual variability and a distinct transition under the Clean Air Action (CAA). The net atmospheric contribution declined from <inline-formula><mml:math id="M297" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8.22 Tg C yr<sup>−1</sup> during the Pre-CAA period (2010–2013) to <inline-formula><mml:math id="M299" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.19 Tg C yr<sup>−1</sup> in Phase II (2018–2020), as the increasing suppression from O<sub>3</sub> (<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.15</mml:mn></mml:mrow></mml:math></inline-formula> Tg C yr<sup>−1</sup>) gradually offset the positive impacts of aerosols and nitrogen deposition. These results indicate that China's air-pollution control not only improved air quality but also altered atmospheric chemical composition in ways that significantly affected ecosystem carbon uptake, with O<sub>3</sub> becoming the dominant limiting factor in the later period.</p>
      <p id="d2e4366">Overall, aerosols, O<sub>3</sub>, and nitrogen deposition exerted interconnected yet contrasting influences on China's terrestrial carbon sink. Aerosols and nitrogen deposition enhanced carbon uptake through diffuse radiation and nutrient input, whereas O<sub>3</sub> caused physiological damage that suppressed it. The evolving interplay among these factors illustrates how emission reductions, atmospheric chemistry, and ecosystem feedbacks jointly impact carbon sink dynamics under China's clean-air policies. These findings suggest that future air-quality management should move beyond single-pollutant control and place greater emphasis on coordinated multi-pollutant strategies, particularly the synergistic reduction of NO<sub><italic>x</italic></sub> and VOCs, to limit O<sub>3</sub>-induced carbon sink suppression while sustaining gains in air quality. In addition, ecosystem carbon-sink responses should be incorporated into the evaluation of clean-air policies, especially in ecologically sensitive regions of eastern and southern China, to better achieve co-benefits for air pollution mitigation and carbon neutrality goals.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e4410">MODIS data are provided at <ext-link xlink:href="https://doi.org/10.5067/MODIS/MOD17A2H.006" ext-link-type="DOI">10.5067/MODIS/MOD17A2H.006</ext-link> (Running et al., 2015). AOD data come from the MODIS Level-3 monthly product (MOD08_M3, Collection 6.1) available at <ext-link xlink:href="https://doi.org/10.5067/MODIS/MOD08_M3.061" ext-link-type="DOI">10.5067/MODIS/MOD08_M3.061</ext-link> (Platnick et al., 2015). WDCGG data are available at <ext-link xlink:href="https://doi.org/10.15138/wkgj-f215" ext-link-type="DOI">10.15138/wkgj-f215</ext-link> (Lan, 2023). ERA-Interim data are available at <ext-link xlink:href="https://doi.org/10.24381/cds.f2f5241d" ext-link-type="DOI">10.24381/cds.f2f5241d</ext-link> (Dee et al., 2011b). The Carbon Tracker data can be accessed at <ext-link xlink:href="https://doi.org/10.25925/Z1GJ-3254" ext-link-type="DOI">10.25925/Z1GJ-3254</ext-link> (Jacobson et al., 2023). CNEMC data are provided at <uri>https://www.cnemc.cn/en</uri> (last access: 15 January 2025; Kong et al., 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4432">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-5925-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-5925-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4441">TW and NX designed the study. NX performed the analysis, conducted the evaluation, and drafted the manuscript. TW supervised the research and acquired funding. Both authors contributed to the interpretation of results and to reviewing and editing the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4447">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="d2e4453">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e4459">We would like to acknowledge the anthropogenic emission inventory support from Tsinghua University and the observed data from the China National Environmental Monitoring Center. We also gratefully acknowledge a wide range of other institutional partners.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4464">This work was supported by the National Key Basic Research Development Program of China (grant no. 2024YFC3711905) and the National Natural Science Foundation of China (grant no. 42477103).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4470">This paper was edited by Jeffrey Geddes and reviewed by two anonymous referees.</p>
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