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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-26-14617-2026</article-id><title-group><article-title>Measurement report: Soil reactive nitrogen gas emissions in the Tibetan Plateau</article-title><alt-title>Soil reactive nitrogen gas emissions in the Tibetan Plateau</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Deng</surname><given-names>Lingling</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Yuhan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ye</surname><given-names>Chunxiang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5417-2671</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Rui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wang</surname><given-names>Ruhai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Fu</surname><given-names>Zehua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zhao</surname><given-names>Hongfang</given-names></name>
          <email>hfzhao@geo.ecnu.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wu</surname><given-names>Dianming</given-names></name>
          <email>dmwu@geo.ecnu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-0414-9430</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Geographic Information Science (Ministry of Education), School of Geographic Sciences, East China Normal University, 200241 Shanghai, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>State Key Joint Laboratory for Environmental Simulation and Pollution Control, Center for Environment and Health, College of Environmental Sciences and Engineering, Peking University, Beijing 100871, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>State Key Laboratory of Soil and Sustainable Agriculture, Institute of soil Sciences, Chinese Academy of Sciences, 210008 Nanjing, China</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Hongfang Zhao (hfzhao@geo.ecnu.edu.cn) and Dianming Wu (dmwu@geo.ecnu.edu.cn)</corresp></author-notes><pub-date><day>15</day><month>October</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>20</issue>
      <fpage>14617</fpage><lpage>14636</lpage>
      <history>
        <date date-type="received"><day>3</day><month>April</month><year>2026</year></date>
           <date date-type="rev-request"><day>27</day><month>April</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>26</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Lingling Deng 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/26/14617/2026/acp-26-14617-2026.html">This article is available from https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e164">The Tibetan Plateau, highly sensitive to climate change, exerts strong atmospheric oxidation capacity partly through rapid cycling of atmospheric reactive nitrogen (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula>). Soil <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions play a crucial role in atmospheric nitrogen cycling and oxidation capacity, yet their emissions on the Tibetan Plateau remain poorly quantified. Combining dynamic chamber measurements, laboratory analysis, and a parameterized model, we assessed the characteristics, driving factors, spatial distribution and annual emissions of soil <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> in the Tibetan Plateau. We found that the optimum soil fluxes of nitrous acid (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>), nitric oxide (<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>), nitrogen dioxide (<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and ammonia (<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were 21.6 <inline-formula><mml:math id="M8" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.4, 43.7 <inline-formula><mml:math id="M9" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.7, 15.8 <inline-formula><mml:math id="M10" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3, and 190.0 <inline-formula><mml:math id="M11" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 116.3 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. These emissions were mainly influenced by soil pH, nutrient content, and microbial community composition. After exposure to atmospheric <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and ozone (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions from forest soils were enhanced but those from croplands and grasslands were suppressed. The estimated annual emissions of soil <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from Tibetan Plateau to be 7.0 <inline-formula><mml:math id="M19" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.4, 11.6 <inline-formula><mml:math id="M20" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.8, and 20.3 <inline-formula><mml:math id="M21" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.0 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. Soil <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions contribute approximately 10.5 % of the external (<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-independent) daytime atmospheric <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> sources and modulate the regional atmospheric chemical balance by elevating the <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> ratio. Our results provide the first integrated quantification of soil <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions on the Tibetan Plateau and emphasize their importance for regional nitrogen cycling and atmospheric oxidation capacity.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42477328</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2023YFC3707401</award-id>
<award-id>2026YFE0151200</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="d2e449">Soil reactive nitrogen (<inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula>) gas emissions play a key role in the global nitrogen cycle, climate warming and atmospheric chemistry. <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> such as nitrous acid (<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>), nitrogen oxides (<inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, including nitric oxide (<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>) and nitrogen dioxide (<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)), and ammonia (<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), are capable of directly influencing key atmospheric processes related to climate and air quality (McCalley et al., 2011; Sutton et al., 2009). For example, <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> regulate the formation of hydroxyl radicals (<inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>) and accelerate gas-phase chemical reactions, leading to tropospheric <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formation and bursts of secondary aerosols (e.g., nitrate, sulphate, and secondary organic aerosols (SOA)) (Behrendt et al., 2014; Delaria and Cohen, 2023; Hereid and Monson, 2001; Liu et al., 2021; Sörgel et al., 2015). <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> promotes aerosol and cloud formation, affecting radiative attenuation and causing cooling of the Earth's surface (Behera et al., 2013; Bray et al., 2021; Erisman et al., 2011; McCalley et al., 2011). Given the diverse climatic and atmospheric effects of individual <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> species, (Liu et al., 2019; Ma et al., 2022; Song et al., 2023; Wu et al., 2022a), isolating the components of <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> and thoroughly understanding the specific contributions from soil sources is essential for accurately assessing their environmental impacts and informing effective mitigation strategies.</p>
      <p id="d2e586">Soils release <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> via a series of biotic and abiotic processes, mainly through microbial nitrification and denitrification, and chemical acid-base equilibrium (Bhattarai et al., 2021; Ermel et al., 2018; Heil et al., 2016; Hong et al., 2025; Kumar et al., 2025; Medinets et al., 2015; Mushinski et al., 2019; Oswald et al., 2013; Su et al., 2011; VandenBoer et al., 2015; Wu et al., 2019). Upon comparing <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emission from sterilized and natural soils, it was found that the emissions of <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> from sterilized soils were significantly reduced (Oswald et al., 2013; Wu et al., 2019). It was also demonstrated that microbial processes contribute 8–42 times more to <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from agricultural soils than abiotic processes (Bhattarai et al., 2021). Therefore, the activity of soil <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling microorganisms can dominate the rate and total amount of <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emission (Maier et al., 2022). Furthermore, <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> is modulated by soil environmental factors, such as soil acidity, moisture, temperature, nitrogen fertilizer application, vegetation cover, inorganic nitrogen content (<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), soil texture, <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mtext>carbon</mml:mtext><mml:mo>/</mml:mo><mml:mtext>nitrogen</mml:mtext></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>) ratio, mineralization and (de)nitrification rates (Behrendt et al., 2014; Bhattarai et al., 2018; Delaria and Cohen, 2023; Donaldson et al., 2014; Kim and Or, 2019; Maljanen et al., 2013; Pilegaard, 2013; Su et al., 2013; VandenBoer et al., 2015). Agricultural activities, particularly the application of nitrogen fertilizers, have been shown to significantly enhance the emissions of <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from soils and contribute to nitrate leaching to groundwater/aquifers, a major environmental concern exhibiting substantial spatial and crop-specific variability (Ren et al., 2025; Wang et al., 2025b). Results showed that <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from agricultural fertilized soils can account for 15 % and 23 % of the total global agricultural <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions, respectively (Lu et al., 2021; Ma et al., 2022; Tian et al., 2023). Agricultural soils are also a hotspot for <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (Wu et al., 2022b). However, the pattern of soil <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions, particularly for <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, remains unclear on the Tibetan Plateau.</p>
      <p id="d2e797">The Tibetan Plateau promotes sustained atmospheric oxidation capacity due to strong ultraviolet radiation, high <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and water vapor concentrations, and rapid circulation of atmospheric <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> (Chen et al., 2022b; Liang et al., 2021; Tang et al., 2023). Several investigations have reported that <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the surface of the Tibetan Plateau range from 25 to 100 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>, and tend to be higher in spring and winter (Li et al., 2022; Škerlak et al., 2014; Xu et al., 2023; Xu et al., 2018; Yin et al., 2017). Moreover, external cycling (<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-independent) of <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> has been observed in the Tibetan Plateau region, triggering elevated <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and strengthening the local atmospheric oxidizing capacity (Wang et al., 2023a). Global warming and human activities also accelerated natural and anthropogenic emissions of <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the Tibetan Plateau region, probably elevating <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations further in the background region (Lyu et al., 2023; Xu et al., 2023).</p>
      <p id="d2e899">In this work, we combined dynamic chamber flux measurement, laboratory analysis, and a parameterized model to assess the characteristics, driving factors, spatial distribution and annual emissions of soil <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> in Tibet. We hypothesized that: (1) Tibetan Plateau might be a hotspot for soil <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions, driven by soil physicochemical properties and microbial nitrogen cycling taxa; (2) atmospheric <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations inhibit soil <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions due to their effects on soil properties; (3) soil <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions contribute significantly to atmospheric <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> concentrations and further influence atmospheric oxidation capacity in Tibetan Plateau.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Soil sampling and property analysis</title>
      <p id="d2e980">In this study, 25 soil samples were collected in April 2021 according to different land use types in Linzhi, Tibet (Grassland G1–G4, Cropland C1–C8, Forest F1–F8, Wetland W1– W3, and Bare land BL1–BL2, Fig. S1 in the Supplement). The sampling site is located in the southeastern part of the Tibetan Plateau (26°52<sup>′</sup> N–30°40<sup>′</sup> N, 92°09<sup>′</sup> E–98°47<sup>′</sup> E), where a variety of climatic types coexist, ranging from tropical to frigid. The altitude range was 150–7782 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with an average elevation of <inline-formula><mml:math id="M86" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3100 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The annual average temperature, precipitation and sunshine duration are 8.7 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, 650 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> and 2022.2 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, and the frost-free period was 180 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Linzhi Municipal People's Government, 2018). At each sampling site, a 10 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> sample square was delineated, and three sub-samples of topsoil (0–5 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>) were collected along the diagonal, subsequently homogenized to form a composite sample (total weight <inline-formula><mml:math id="M96" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula>). Subsequently, using a sterile sampling spoon, 1–2 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of soils were collected from the composite sample and placed into 2 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> sterilized centrifuge tubes for subsequent microbiological analysis. The soil samples were transported back to the laboratory within 48 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> via SF Express's standard cold-chain service (maintained at a constant temperature of 4 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> throughout the entire process). Upon arrival at the laboratory, soil samples for microbiological analyses were stored at <inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>80 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, while soil samples for determining <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emissions and physicochemical properties were stored at <inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1202">Soil samples were passed through a 2 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> analytical sieve and used for the determination of physicochemical properties such as soil water content, pH, particle size and inorganic nitrogen. Soil water content (SWC) was calculated by drying at 105 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and using the change in soil mass before and after drying. Soil pH was determined by a pH meter (FE28, Mettler Toledo, Zurich, Switzerland) in a soil-water suspension (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>). Particle size fractions were determined by a laser diffraction particle size analyzer (LA-960A, HORIBA, Kyoto, Japan) (Song et al., 2020). Soil inorganic nitrogen (<inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) content was determined by mixing soil with deionized water (DIW) at a ratio of <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) (Song et al., 2024), shaking and centrifuging, and then the extracted supernatant was analyzed by a continuous flow analyzer (Skalar San++ System, Skalar, Breda, Netherlands) (GB/T 42487-2023). At the same time, another identical sample was incubated in a thermostatic incubator at 25 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 7 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>, and the soil inorganic <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content was determined by the method described above, thus calculating the net mineralization rate and net nitrification rate (Lv et al., 2023). For the determination of soil dissolved organic carbon (DOC), 5 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of fresh soil was mixed with 25 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of 0.5 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> solution, shaken for 1 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> at room temperature, centrifuged at 4000 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">r</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for 5 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> through a centrifuge (H1850, Xiangyi, Xiangtan, China). Then the supernatant was extracted by filtration with 0.45 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> aqueous filter membrane, and was analyzed by a total organic carbon analyzer (TOC-L CPN, Shimadzu, Kyoto, Japan). Air-dried soil samples passing a 0.15 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> analytical sieve were measured with an elemental carbon and nitrogen analyzer (Elementary Vario MAX CN, Frankfurt, Germany) to determine the total carbon (<inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow></mml:math></inline-formula>) and nitrogen (<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow></mml:math></inline-formula>) content.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Soil <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> flux measurement</title>
      <p id="d2e1481">Dynamic chamber systems were typically used to study the release of <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) from soils (Behrendt et al., 2014). Here, soil <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas fluxes were measured using a MUlti-gaS dynamIC measurement system (MUSIC, Fig. S2 in the Supplement). This system simulates soil <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emissions during the wetting-drying cycle and the results are in good agreement with field fluxes and have been applied in several studies (Song et al., 2023; Wu et al., 2020, 2022a, 2019). Specifically, 40 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of fresh soil samples were added to petri dishes (inner diameter <inline-formula><mml:math id="M140" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 94 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>) and moistened with purified water until the maximum soil water holding capacity (WHC) was reached, which was measured by filtration (Whatman filter paper no. 42) (Behrendt et al., 2014). Subsequently, the petri dish containing soil was placed in a Teflon chamber (<inline-formula><mml:math id="M142" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>) in the dark and at a constant temperature (25 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and continuously flushed with dry purified air (free of <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, etc.) at a constant flow rate of 6 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> until the soil in the petri dish was completely dry. The system was set up with three Teflon chambers, and one of the chambers without soil samples was set up as the reference chamber for calculating the flux. Each chamber was measured for 2 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> and then switched to the next chamber via a multipoint switching valve, resulting in a temporal resolution of 6 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> per chamber. During the drying process, <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the chamber headspace were measured continuously by incoherent broadband cavity-enhanced absorption spectroscopy (IBBCEAS, AIOFM-CEAS-TY19-1), chemiluminescent <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer (Thermo 42i-TL, Waltham, MA, USA), and <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> analyzer (Picarro G2103, USA), with instrumental time resolutions of about 10, 10, and 1 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The lower limits of detection (LOD) for instrumental measurements of <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were approximately 150, 200, 100, and 100 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>, respectively (Song et al., 2023). In addition to the concentration-based instrument LODs, we have now calculated the minimum detectable fluxes for each target gas. Specifically, the minimum detectable fluxes were approximately 0.8 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, 1.6 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 0.8 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 1.2 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>. To avoid uncertainties caused by switching chambers, only the respective mean value for the 30 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before chamber switching was calculated for each measurement. Furthermore, an infrared <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> analyzer (LI-COR 840A, Lincoln, NE, USA) was used to record soil desiccation and calculate the soil water content (SWC) of the samples.</p>
      <p id="d2e2019">The fluxes of soil <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases (<inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were calculated as follows:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M184" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>Q</mml:mi><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>out</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mtext>in</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the flux of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases (<inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M188" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> denotes the flow rate of the gases (<inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M190" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> denotes the surface area of the soil (<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the molar volume of air (<inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M194" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> represents the 30 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before chamber switching; and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>out</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">χ</mml:mi><mml:mtext>in</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> denote the headspace mixing ratios at the outlet and inlet of the chamber (<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>). The soil sample preservation protocol used in this study (storage at <inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> followed by thawing) may have amplified the potential for soil <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions; therefore, we adopted the optimal flux (i.e., the highest value) under specific stimulating conditions, which represents the maximum potential emissions at the maximum WHC.</p>
      <p id="d2e2321">Meanwhile, based on the above flux data, the integrated soil <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases (<inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) emission during a single wet and dry alternation were calculated as follows:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M207" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msubsup><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the integrated soil <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emission (<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> denotes the soil <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emission flux at moment <inline-formula><mml:math id="M213" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. The fluxes were assumed constant over the switch intervals.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Atmospheric <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fumigation experiment</title>
      <p id="d2e2521">Three typical soil types, forest (F3), grassland (G5) and cropland (C2), were selected for the fumigation experiment to simulate the effects of atmospheric <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations on soil <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emissions. Four fumigation treatments were installed, i.e., 10 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, 50 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, 10 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 50 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M230" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The first two treatments (solely <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>) were designed to isolate the direct effect of <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> gas on soil nitrogen cycling, independent of its rapid oxidation process, the other two treatments (<inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were designed to simulate the synergistic effects after photochemical aging, where <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> is rapidly converted to <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the presence of <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, thereby assessing the combined impacts of <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and strong oxidants on the soil system. Although <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> rapidly reacts with <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is concurrently consumed by reactions with soil organic matter, the physicochemical kinetic conditions governing gas conversion and consumption are consistent across all treatment groups under identical flow rates and fumigation regimes. Thus, the relative ranking of actual exposure intensities among the different treatment groups is still considered valid. Three replicates were provided for each treatment, with a total of 36 samples. Specifically, <inline-formula><mml:math id="M246" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of fresh soil samples were weighed and placed into 500 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> brown incubation flasks (Bottom diameter: 7.5 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; Bottle height: 17.5 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; Soil thickness: 3–5 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> standard gas (5.2 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>, Air Liquide, Shanghai) was subsequently diluted to a pre-set <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> mixing ratio concentration by the Sonimix ozone gas master standard (SONIMIX 4001, LNI, Italy) and piped into an incubation bottle containing soil (flow rate <inline-formula><mml:math id="M255" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Fig. S3 in the Supplement). The lid of the incubation bottle was equipped with two connecting pipes and loaded with valves that enable controlled on/off switching. The second pipe of the incubation bottle was connected to the <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analyzer to allow real-time observation of changes in <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the bottle. When the fumigant gas in the bottle reaches the pre-set concentration, promptly close the valve of the pipeline connected to the instrument. The whole process will take about 5 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>. Then, the soil was fumigated for another 10–20 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before closing the valve of the fumigant gas input pipe. The tube junction was sealed with a sealing film and then placed in a thermostatic incubator (25 <inline-formula><mml:math id="M261" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). Based on the results from preliminary tests, we selected a fumigation period of 5 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Table S1 in the Supplement), during which the fumigant gas input was repeated every 24 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to ensure a stable concentration of fumigant gas in the incubation bottles. After fumigation incubation was completed, <inline-formula><mml:math id="M265" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of soil samples were collected within 3 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> into 2 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> sterilized centrifuge tubes, and then placed in a refrigerator at <inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>80 <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for storage for subsequent soil microbial analyses. In addition, <inline-formula><mml:math id="M271" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of soil samples were removed from the incubation bottles for the determination of <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> flux. The remaining samples were used for the determination of soil pH, inorganic nitrogen content, and DOC content.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Soil DNA extraction and sequencing</title>
      <p id="d2e3071">DNA was extracted from 25 natural soil samples using a DNA extraction kit (MOBIO Laboratories, Carlsbad, CA, USA). The concentration and quality of DNA were determined by NanoDrop2000 (Thermo Fisher Scientific, Waltham, Massachusetts USA) and 1 % agarose gel electrophoresis. The primer pairs 338F (5<sup>′</sup>-ACTCCTACGGGAGGCAGCAG-3<sup>′</sup>) and 806R (5<sup>′</sup>-GGACTACHVGGGTWTCTAAT-3<sup>′</sup>), 524F10extF (5<sup>′</sup>-TGYCAGCCGCCGCGGTAA-3<sup>′</sup>) and Arch958RmodR (5<sup>′</sup>-YCCGGCGTTGAVTCCAATT-3<sup>′</sup>), ITS1F (5<sup>′</sup>-CTTGGTCATTTAGAGGAAGTAA-3<sup>′</sup>) and ITS2R (5<sup>′</sup>-GCTGCGTTCTTCATCGATGC-3<sup>′</sup>) for bacterial V3-V4 region, archaeal V4-V5 region, and fungal ITS1-ITS2 region by PCR amplification (GeneAmp<sup>®</sup>9700 PCR Thermal Cycler, ABI, CA, USA), respectively. The volume of the PCR reaction system was 20 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>, see Table S2 in the Supplement for specific reagents and volumes. The PCR amplification cycling conditions were: pre-denaturation at 95 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 3 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, followed by denaturation at 95 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 30 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, annealing at 55 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 30 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, extension at 72 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 45 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> for a total of 35 cycles, and finally extension at 72 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 10 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> until 10 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. In 3 replicates per sample, PCR products from the same sample were mixed and detected by 2 % agarose gel electrophoresis and purified using the AxyPrep DNA Gel Extraction Kit (Axygen Biosciences, Union City, CA, USA) according to the manufacturer's instructions, and Quantus™ fluorometer (Promega, USA) was used to quantify. Library construction of purified PCR products was performed using the NEXTFLEX<sup>®</sup> Rapid DNA-Seq Kit. Finally, the library was subjected to paired-end sequencing on the Illumina MiSeq PE300 platform (Meiji Biomedical Technology Co., Ltd., Shanghai, China). Raw sequencing data were uploaded to the Scientific Data Centre of Beijing Institute of Genomics, Chinese Academy of Sciences (<uri>https://ngdc.cncb.ac.cn/gsub/submit/gsa/subCRA019428/finishedOverview</uri>, last access: 22 August 2023) under the accession number CRA012324.</p>
      <p id="d2e3305">The raw sequencing sequence of the double-end was quality controlled using Fastp software (V0.19.6, <uri>https://github.com/OpenGene/fastp</uri>, last access: 14 July 2022) and spliced using FLASH software (V1.2.11, <uri>https://ccb.jhu.edu/software/FLASH/index.shtml</uri>, last access: 14 July 2022). Using UPARSE software (V11, <uri>http://www.drive5.com/uparse/</uri>, last access: 14 July 2022), the quality-controlled spliced sequences were clustered by operational taxonomic unit (OTU) and chimeras were excluded based on 97 % similarity. The RDP classifier (V2.13, <uri>https://sourceforge.net/projects/rdp-classifier/</uri>, last access: 14 July 2022) was used to compare the Silva 16S rRNA gene database (V138, <uri>https://www.arb-silva.de/</uri>, last access: 14 July 2022) as well as the Unite fungal ITS database (V8, <uri>https://unite.ut.ee/</uri>, last access: 14 July 2022) for OTU species taxonomic annotation with a confidence threshold of 70 %, and the community composition of each sample was counted at different species classification levels.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Quantification of functional genes involved in nitrogen cycling</title>
      <p id="d2e3336">Natural soil DNA was extracted from 0.25 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of frozen soil using the MoBio PowerSoil DNA Kit (MOBIO Laboratories) and fumigated soil DNA was extracted from 0.25 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of frozen soil using the DNeasy<sup>®</sup> PowerSoil<sup>®</sup> Pro Kit (QIAGEN, USA). Quantitative real-time PCR (qPCR) (7300 Real-Time PCR System, Applied Biosystems, USA) was performed on natural soil DNA samples using SYBR fluorescent dye quantitative PCR to determine the copies of <italic>amoA</italic>, <italic>narG</italic>, <italic>nirK</italic>, <italic>nosZ</italic> and <italic>napA</italic> genes. The qPCR reaction mixture for natural soil consisted of 2 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> Template DNA, 0.8 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> forward and reverse primers, 10 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> 2<inline-formula><mml:math id="M303" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>ChamQ SYBR Color qPCR Master Mix (Vazyme), 0.4 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> 50<inline-formula><mml:math id="M305" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>ROX Reference Dye 1 and 6 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ddH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Fumigated soil DNA samples were also used by SYBR fluorescent dye method for qPCR (7500 Real-Time PCR System, Applied Biosystems, USA) to determine the copies of <italic>amoA</italic>_AOA, <italic>amoA</italic>_AOB, comammox Clade A, <italic>nirK</italic>, <italic>nirS</italic>, <italic>nxrA</italic>, <italic>nxrB</italic>, <italic>napA</italic>, and <italic>nosZ</italic> genes. The qPCR reaction mixture for fumigated soil consisted of 1 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> Template DNA, 0.4 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> forward and reverse primers (0.8 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> for comammox Clade A and <italic>napA</italic> genes), 10 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> 2<inline-formula><mml:math id="M312" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>TB Green Premix Ex Taq (Takara), 0.4 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> 50<inline-formula><mml:math id="M314" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>ROX Reference Dye II and 7.8 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ddH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (7 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> for comammox Clade A and <italic>napA</italic> genes). Primer sets and qPCR conditions for each gene were listed in Table S3 in the Supplement. A qPCR standard curve based on threshold cycling (CT) values was constructed using a 10-fold dilution of the linearized plasmid. The gene copies of each soil sample were then determined by correlating the CT value of each sample with the known copies in the standard curve using a known linear logarithmic relationship. Plasmid copies conversion formula (copies <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> plasmid concentration (<inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">6.02</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">23</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mtext>molecular mass</mml:mtext><mml:mo>×</mml:mo><mml:mn mathvariant="normal">660</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The amplification efficiencies of all qPCRs in this study were in the range of 80 %–110 % and <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M323" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.99 (Table S3).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Upscaling soil emissions of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases to the Tibetan Plateau</title>
      <p id="d2e3704">We compiled a dataset of soil <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes in Tibet, including measured data in this study and published data in literature (Table S4 in the Supplement). Stepwise regression analysis was performed to establish quantitative relationships between soil <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes and key soil properties, including soil pH, inorganic nitrogen contents, and the abundance of nitrogen-cycling functional genes. Based on these relationships and the flux dataset, we estimated the annual soil emissions of <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Tibet using parameterized soil <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions model (Wu et al., 2022b). This model takes into account factors such as soil temperature, precipitation, and nitrogen fertilizer application (on farmland). It should be clarified that the current annual emission model does not directly incorporate the effects observed in the fumigation experiments. The upscaling model relies on statistical relationships established between soil <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes and key in-situ soil properties. While these long-term in-situ properties inherently reflect historical deposition, capturing the short-term chemical feedback of ambient <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into a regional-scale model is complex. Thus, these effects are qualitatively discussed in relation to the fumigation results (Figs. S5–S7 in the Supplement).</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Quantification the contribution of soil <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions to atmospheric external <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> sources</title>
      <p id="d2e3815">We quantified the contribution of soil <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions to <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-independent (external) atmospheric <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> sources by integrating the external source framework of Wang et al. (2023a) with the soil-atmosphere exchange model of Meusel et al. (2018), based on field data collected at the Nam Co Multisphere Observation and Research Station (30°46.44<sup>′</sup> N, 90°59.31<sup>′</sup> E, 4730 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) (Wang et al., 2023a). Here, community-weighted maximum <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> flux (<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mtext>comm</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated by weighting land-use-specific maximum <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> fluxes by their areal coverage (bare soil: 12 %; grassland: 74 %; cropland: 0.1 %; forest: 9 %; wetland: 5.6 %) (Yang and Huang, 2025):

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M345" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mtext>comm</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>max⁡</mml:mo><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">100</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>max⁡</mml:mo><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M347" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> maximum <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> flux for land-use type <inline-formula><mml:math id="M349" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M352" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> areal percentage of land-use type <inline-formula><mml:math id="M353" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>. Land-use-specific <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mo>max⁡</mml:mo><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values were: bare soil (21.6 <inline-formula><mml:math id="M355" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.4); grassland (18.3 <inline-formula><mml:math id="M356" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.2); cropland (42.1 <inline-formula><mml:math id="M357" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28.1); forest (15.7 <inline-formula><mml:math id="M358" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.3); wetland (9.8 <inline-formula><mml:math id="M359" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7) <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e4144">Soil <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> molecular flux normalized to boundary layer volume (<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mtext>ground</mml:mtext><mml:mo>,</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated as:

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M363" display="block"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mtext>ground</mml:mtext><mml:mo>,</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mtext>comm</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mtext>BLH</mml:mtext><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M364" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> unit conversion factor; 10<sup>6</sup> <inline-formula><mml:math id="M367" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> scaling to <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>; BLH (boundary layer height) of 182 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> was used derived from ERA5 reanalysis data for Nam Co station. A constant BLH is a simplification. The 182 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> daily-average from ERA5 for Nam Co was adopted to focus on daytime oxidation capacity driven by <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> photolysis.</p>
      <p id="d2e4296">The volume mixing ratio production rate <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>mix</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) representing soil <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> contributions to atmospheric external sources was derived as:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M375" display="block"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>mix</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mtext>ground</mml:mtext><mml:mo>,</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M376" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M377" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.11 <inline-formula><mml:math id="M378" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, calculated using the ideal gas law, calibrated based on the air molecular number density (1.159 <inline-formula><mml:math id="M382" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>19</sup> <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and Nam Co's in-situ meteorology (mean daytime temperature: 278.15 <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>; average atmospheric pressure: 4.45 <inline-formula><mml:math id="M386" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>4</sup> <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi></mml:mrow></mml:math></inline-formula>) to account for high-altitude thermodynamic properties.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e4514">Soil archaeal, bacterial and fungal communities of <inline-formula><mml:math id="M389" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-diversity <bold>(a)</bold> and <inline-formula><mml:math id="M390" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-diversity <bold>(b)</bold>. The error bars show the standard errors (Forest: <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Grassland: <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>; Cropland: <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Wetland: <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>; Bare land: <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Kruskal–Wallis test was used for one-way ANOVA between groups, and different lowercase letters show differences between groups. Richness is actual observations; evenness is based on Simpson's index measure; diversity is Simpson's diversity index.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Statistical analysis</title>
      <p id="d2e4612">Kruskal–Wallis test, and one-way analysis of variance (ANOVA) and Duncan's multiple comparisons (SPSS Version 26.0., IBM Corp., Armonk, NY, USA) were used to distinguish the differences of soil physicochemical properties, functional genes, microbial community diversity and <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes for different soil use types and fumigated soils, respectively. Non-metric multidimensional scaling (NMDS), analysis of similarity (ANOSIM) and non-parametric multivariate analysis of variance using distance matrices (ADONIS) were used to reveal differences in the composition of archaeal, bacterial and fungal communities across soil use types (R V3.6.3, “vegan” package, <uri>https://www.r-project.org/</uri>, last access: 26 October 2022). Spearman correlation analysis resolved the relationship between physicochemical properties, functional genes, microbial communities and <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes in Tibetan soils, while Pearson correlation analysis was applied to resolve the relationships in fumigated soils. Both methods were performed using Origin 2023.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Soil physicochemical properties, microbial communities and functional genes abundance</title>
      <p id="d2e4650">Tibetan region has remarkable differences in physicochemical properties among different soil types, such as pH, <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio, <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula>, particle size, and moisture (<inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, Table S5 in the Supplement). In this study, we detected that pH was alkaline in bare soil (8.14 <inline-formula><mml:math id="M403" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18) and wetland (7.84 <inline-formula><mml:math id="M404" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19), acidic in grassland (5.10 <inline-formula><mml:math id="M405" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19) and cropland (6.36 <inline-formula><mml:math id="M406" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.64), whereas in forest pH (4.76–8.16) had a wide range of distributions in the Tibetan region, generally in accordance with the results of other studies (Ma et al., 2020; Wang et al., 2023b; Yang et al., 2021). Soil clay content was low (<inline-formula><mml:math id="M407" display="inline"><mml:mo lspace="0mm">≤</mml:mo></mml:math></inline-formula> 1 %), with essentially consisting of silt and sand in all soils (Table S5). It has been reported that carbon and nitrogen storage is substantial in surface soils of the Tibetan Plateau, particularly in grasslands (Chen et al., 2022a). Similar results were also obtained in this study, with the <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow></mml:math></inline-formula> contents of grassland being 3–26 times more than other soil types (Table S5). Agricultural soils showed comparatively higher <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content and <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> transformation rate (net mineralization and nitrification rate) than other soil types, indicating fast <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> turnover effects caused by fertilization. In addition, Tibetan soils had elevated <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content compared with <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content, which was similar to the results of other studies (Gao et al., 2016; Lin et al., 2019; Yao et al., 2019).</p>
      <p id="d2e4848">Overall, 1 202 964, 1 079 854 and 1 589 093 high-quality bacterial, archaeal and fungal gene sequences were detected from 25 soil samples, respectively. The sequences were clustered with 97 % similarity to obtain 8355, 531 and 5806 OTUs (Table S6 in the Supplement). The Shannon–Wiener dilution curve was flattened, indicating that the sequencing volume was able to reflect most of the microbial diversity information in the soil samples (Fig. S4 in the Supplement) (Wang et al., 2012; Wu et al., 2022a). The number of shared species of bacteria, archaea, and fungi across all soil types was 878, 46, and 75, respectively. However, archaea (average <inline-formula><mml:math id="M416" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 71) and fungi (average <inline-formula><mml:math id="M417" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 778) had more unique species than shared species in different soil types (Table S7 in the Supplement). In general, microbial community alpha-diversity was assessed in terms of richness, evenness, diversity and coverage, while community beta-diversity reflected differences in species composition between populations via comparisons of species composition structure between samples (He et al., 2013). In this study, the Good's coverage indices of bacterial, archaeal and fungal communities all ranged from 0.97 to 0.99 (Table S8 in the Supplement), indicating that the results of the current sequencing were highly plausible. It was found that the diversity and community structure of soil archaea, bacteria and fungi were moderately heterogeneous among the different soil types (Kang et al., 2021). This study revealed that archaeal community richness and fungal community richness, evenness and diversity were statistically different between soil types, whereas bacterial richness, evenness and diversity did not differ significantly (Fig. 1a). Meanwhile, based on the results of NMDS ordination (Fig. 1b) and statistical analyses (Table S9 in the Supplement, <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), it was shown that beta-diversity of bacteria, archaea, and fungi varied significantly across soil types, in particular between cropland soils and other soil types. The results demonstrated that soil habitat specificity shaped the diversity of soil microbial communities on the Tibetan Plateau.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e4879">Soil Archaea, Bacteria, and Fungi Community Composition <bold>(a)</bold> and Functional Genes <bold>(b)</bold>. The error bars show the standard errors (Forest: <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Grassland: <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>; Cropland: <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Wetland: <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>; Bare land: <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). The figure shows the top 10 phyla in relative abundance of soil archaea, bacteria and fungi. Kruskal–Wallis test was used for one-way ANOVA between groups, and different lowercase letters show differences between groups.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f02.png"/>

        </fig>

      <p id="d2e4956">Through the sequencing results, soil bacteria, archaea and fungi were affiliated to 50, 12 and 17 phyla, respectively (Table S6). Figure 2a showed that the soil archaeal community was dominated by Crenarchaeota (10 %–99 %), Thermoplasmatota (0 %–59 %), Euryarchaeota (0 % –62 %), and Halobacterota (0 %–47 %) in the soil archaeal community. The dominant phyla of the bacterial community were Actinobacteriota (6 %–65 %), Proteobacteria (13 %–46 %), Acidobacteriota (3 %–25 %), Chloroflexi (3 %–21 %), and Firmicutes (1 %–23 %). The dominant phyla of the fungal community were Ascomycota (1 %–90 %), Basidiomycota (0 %–69 %), Mortierellomycota (0 %–84 %), and Chytridiomycota (0 %–62 %). It was similar with other studies reporting the composition of soil microbial communities on the Tibetan Plateau (Cao et al., 2022, 2021; Yang et al., 2022; Zou et al., 2023). Crenarchaeota predominated in the Tibetan soil archaeal community, especially in cropland soils (average relative abundance <inline-formula><mml:math id="M424" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 98 %), far above other soil types. Additional studies confirmed that Crenarchaeota extensively exist in marine, hot spring and soil environments, which constitute the most numerous and widespread ammonia-oxidising archaeal taxa in nature, with the ability to oxidize ammonia to nitrite for chemoenergetic autotrophic growth, thus being critical for nitrogen fertiliser utilization (Baker et al., 2020; Brochier-Armanet et al., 2008; Dang et al., 2008). Further clarification was provided to explain the low <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> content and high net mineralization/nitrification rates in croplands in Tibet (Table S5). It was found that Actinobacteriota genomes harboured numerous functional genes related to plant residue degradation, and that Ascomycota fungi exhibited the ability to degrade multiple types of plant cellulose and hemicellulose, which increased nitrogen availability during microbial-driven decomposition of plant residues (Bao et al., 2021; Swarnalakshmi et al., 2016; Zhang et al., 2013). Thus, those in cropland soils with high abundance of Actinobacteriota (average relative abundance <inline-formula><mml:math id="M426" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 36 %) and Ascomycota (average relative abundance <inline-formula><mml:math id="M427" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 54 %) presumably provide additional nitrogen for themselves and other microorganisms. Meanwhile, the abundance of key functional genes for <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycling in grassland and cropland soils was higher than that in other soil types, with <italic>napA</italic>, <italic>narG</italic>, <italic>nirK</italic>, and <italic>nosZ</italic> gene abundance higher in grassland soils, and <italic>amoA</italic> gene abundance higher in cropland soils, whereas all of the above genes had lower abundance in bare soils (Fig. 2b). This indicated that grassland and cropland soils in the Tibetan Plateau region possessed high nitrification and denitrification potentials.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e5023">Optimum flux <bold>(a)</bold> and integrated emissions <bold>(b)</bold> of soil <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases (<inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The error bars show the standard errors (Forest: <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Grassland: <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>; Cropland: <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>; Wetland: <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>; Bare land: <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Kruskal–Wallis test was used for one-way ANOVA between groups, and different lowercase letters show differences between groups.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Soil <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions characteristic and driving factors</title>
      <p id="d2e5163">Under natural conditions, soil–atmosphere exchange of reactive nitrogen is typically bidirectional (Bao et al., 2022). Here, we quantify net soil emissions and eliminate the masking effect of atmospheric <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> background by using dry <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula>-free air as the carrier gas. For example, the observed <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> flux represents the net apparent flux, which integrates direct soil biogenic emission and additional <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> formation via heterogeneous uptake and conversion of atmospheric <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on soil particle surfaces (Fan et al., 2025). This dual-source characteristic helps explain the co-occurrence of <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> release and <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> consumption observed in Fig. 3. It is important to acknowledge the methodological limitations regarding the interpretation of our flux results. In this study, all soils were found to emit of <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during wetting and drying cycles (Fig. 3). The optimum fluxes ranged from 2.5 to 235.2 <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, 1.2 to 268.4 <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, 7.6 to 43.7 <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 6.4 to 547.8 <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 3a). Integrating the single wetting and drying cycle, the release of <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> was 0.02–0.30 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> was 0.01–0.51 <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was 0.47–3.07 <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M466" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 (Fig. 3b). When compared to studies with similar conditions or methods, the emissions in this study were consistent with those reporting soil <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, or <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions ranging from 1 to 3000 <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Mamtimin et al., 2016; Meusel et al., 2018; Oswald et al., 2013; Song et al., 2023; Su et al., 2011; Weber et al., 2015; Wu et al., 2022a, 2019). Optimal fluxes and integrated emissions of <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed high consistency and convergence across cropland soils. Cropland soils consistently remained the primary source of <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (42.1 <inline-formula><mml:math id="M477" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28.1, 49.2 <inline-formula><mml:math id="M478" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 31.8 and 19.9 <inline-formula><mml:math id="M479" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively), whether in terms of instantaneous peaks or cumulative emissions. The findings suggest that the emission mechanisms in cropland ecosystems for <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are relatively continuous over time and highly stable (Fig. 3). Studies have shown that high <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emissions from cropland soils depend strongly on fertiliser application factors (Luo et al., 2022). Nitrogen fertiliser application promoted strong <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions, the flux of <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> from fertilised agricultural soils can exceed 1000 <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Tang et al., 2019; Xue et al., 2021, 2019). In addition, it has been shown that fertilization or grazing increased soil <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions, which were expressed as farmland <inline-formula><mml:math id="M489" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> grassland <inline-formula><mml:math id="M490" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> forest and peatland for different soil types (Bhattarai et al., 2021). It is worth noting that the substantial <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions observed in this study cannot be fully explained by classical microbial nitrification and denitrification mechanisms alone. Apart from biological pathways, direct <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are likely driven by several abiotic or non-classical biotic mechanisms. Chemodenitrification is recognized as a significant source of <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in soils; specifically, under acidic conditions, the accumulated <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in soil undergoes chemical decomposition to produce <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Cai et al., 2012).</p>
      <p id="d2e5861">However, it should be noted that extrapolating the results of this study to actual field conditions has inherent limitations. Xue et al. (2024) showed that surface water exchange plays a critical role in mediating soil <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions. Under the dry-air conditions employed in our experimental setup, the evaporation of surface water is likely maximized. This enhanced evaporation could potentially facilitate the escape of dissolved <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases from the soil matrix, thereby leading to an overestimation of the net fluxes compared to ambient conditions with higher relative humidity. Therefore, our findings provide theoretical maximum emission potentials, and caution is advised when directly applying the absolute flux magnitudes obtained here to field assessments without considering local in situ environmental data (e.g., soil moisture, temperature). Future studies integrating in situ field measurements or environmentally controlled microcosm systems are essential to delineate the dynamic impacts of wet-dry cycles on <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e5890">Correlation matrix between soil physicochemical properties, functional genes, microbial communities and <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes based on Spearman correlation analysis. SWC: Soil water content; <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow></mml:math></inline-formula>: total nitrogen; <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow></mml:math></inline-formula>: total carbon; <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio: <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">TC</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; Net. <inline-formula><mml:math id="M505" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>: net nitrification rate; Net. <inline-formula><mml:math id="M506" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>: net mineralization rate; Richness is actual observations; evenness is based on Simpson's index measure; diversity is Simpson's diversity index. <sup>∗</sup> <inline-formula><mml:math id="M508" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M509" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05; <sup>∗∗</sup> <inline-formula><mml:math id="M511" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M512" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01; <sup>∗∗∗</sup> <inline-formula><mml:math id="M514" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M515" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f04.png"/>

        </fig>

      <p id="d2e6043">Spearman's correlation analysis revealed that the potential of soil <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emission in Tibet was remarkably correlated with soil physicochemical properties, microbial communities and key functional genes of the nitrogen cycle (Fig. 4, <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Generally, soil <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions were significantly correlated with soil pH and nitrogen content. Su et al. (2011) found that <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions increased with higher nitrogen content and acidity in the soil. In contrast, Oswald et al. (2013) measured soil <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions under different pH conditions globally and found that the fluxes did not decrease with increasing pH. Furthermore, another study demonstrated that the pH at the surface of soil mineral particles, rather than the pH of the soil solution, influences soil <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (Donaldson et al., 2014). Meusel et al. (2018) reported that <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions were significantly correlated with soil <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Wu et al. (2022b) found that <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from different types of soils in Shanghai had been correlated remarkably with the concentrations of <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations. Nevertheless, in this study, soil <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> was significantly correlated with <italic>amoA</italic> gene abundance and archaeal evenness, while soil <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> was significantly correlated with <italic>amoA</italic>, <italic>narG</italic>, <italic>nirK</italic>, and Actinobacteriota abundance (Fig. 4, <inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Wu et al. (2022a) found that <italic>amoA</italic>_AOA abundance directly affected the wetland soil <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emission, while <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emission were mainly controlled by <italic>amoA</italic>_AOA, <italic>nirK</italic> and <italic>nirS</italic> genes. In this instance, soil nitrification rate was dictated by AOA and negatively correlated with the <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratio, particularly when the <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio exceeds 25 (Maljanen et al., 2013; Mushinski et al., 2019). At this threshold, soil <inline-formula><mml:math id="M539" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions decreased rapidly. Additionally, the fluxes of <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> were affected by AOB, which influenced <italic>amo</italic> gene abundance through soil pH, subsequently impacting soil <inline-formula><mml:math id="M543" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (Mushinski et al., 2019; Scharko et al., 2015).</p>
      <p id="d2e6345">Actinobacteria belong to Gram-positive bacteria, which can degrade soil organic matter, provide nutrients to the soil, as well as maintain high activity and DNA repair ability even at low temperatures, acting as a dominant group of bacteria in low-temperature environments (Johnson et al., 2007). In our study, we also found Actinobacteriota (6 %–65 %) to be the dominant phylum of the bacterial community in Tibet, especially in cropland soils (Fig. 2a). High <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from cropland soils showed a strong consistency with Actinobacteriota abundances. Therefore, it is suggested that Actinobacteriota may act as a significant microbial regulator for <inline-formula><mml:math id="M545" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions in Tibetan cropland soils. Overall, soil reactive <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> emission potential in Tibet was explained by soil pH, carbon and nitrogen content, (de)nitrification functional genes, and key microflora.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e6374">Conceptual diagram linking the effects of fumigation with high and low concentrations of <inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M549" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M550" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on soil microbial functional genes, physicochemical properties, and <inline-formula><mml:math id="M551" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> fluxes across forest, grassland, and cropland soils. Red bold indicate statistically significant increases, while blue bold indicate statistically significant decreases.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f05.png"/>

        </fig>

      <p id="d2e6428">Atmospheric <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions and deposition rates have been highly elevated in China during recent years, and studies have shown that a shift towards approximately equal wet and dry nitrogen deposition occurred in 2011–2015, accompanied by increasing dry nitrogen deposition (Liu et al., 2020; Yu et al., 2019; Zhu et al., 2022). Total <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> emissions from terrestrial ecosystems to be 100 <inline-formula><mml:math id="M554" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with an eventual 70 <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> being deposited back into terrestrial ecosystems (Fowler et al., 2013). Total annual input of atmospheric nitrogen dry deposition in China was 7.78 <inline-formula><mml:math id="M556" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, of which the annual deposition flux of <inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was 0.67 <inline-formula><mml:math id="M558" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Jia et al., 2016). In this study, we found that exposure to simulated atmospheric <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M560" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations altered soil <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions, while <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from different soil types responded differently to <inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fumigation with different concentration gradients (Figs. 5 and S5–S7). Specifically, the <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from forest soils were enhanced after <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M570" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixture fumigation, which resulted in peak emissions that were 2–8 times higher than the previous levels (Fig. S5). However, <inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from cropland and grassland soils were suppressed by fumigation, with <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> peaks in cropland soils decreasing by an average of approximately 31 % and 31 % (Fig. S7), while <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> peaks in grassland soils were decreased by an average of approximately 68 % and 84 % (Fig. S6 in the Supplement). Interestingly, while cropland and grassland soils typically serve as sources of <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> under natural conditions, their fluxes were significantly suppressed under fumigation with elevated <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M581" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. These results indicate that high concentrations of <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M585" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may lead to a decrease in the soil production rates of <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, thereby causing a reversal of the source-sink balance. Previous study showed that the net atmospheric <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> budgets for paddy fields, forests, and tea plantations in a sub-tropical catchment to be <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M591" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36.1, and <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">23.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, suggesting that forests served as sinks of atmospheric <inline-formula><mml:math id="M594" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula>, whereas paddy fields and tea plantations served as sources of atmospheric <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> (Zhu et al., 2021). In addition, forests have a higher efficiency of atmospheric nitrogen capture than other land-use types (Du et al., 2019). Therefore, forest soils under <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exposure might absorb more inputs from external nitrogen sources, accelerating the rate of nitrogen transformation under the dry-wet cycle, which led to increased emissions of <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M599" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6932">Fumigation with different concentration gradients of <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also altered soil physicochemical and biological properties (Fu et al., 2020; Ning et al., 2015). Forest (pH <inline-formula><mml:math id="M603" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5.59 <inline-formula><mml:math id="M604" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16), cropland (pH <inline-formula><mml:math id="M605" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5.44 <inline-formula><mml:math id="M606" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18) and grassland (pH <inline-formula><mml:math id="M607" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5.10 <inline-formula><mml:math id="M608" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05) soils were acidic before fumigation in the study. It was found that soil pH tended to increase after fumigation, especially in forest soils, with an average increase of <inline-formula><mml:math id="M609" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.53 (Fig. S8 in the Supplement). The increase in pH is primarily attributed to changes in the redox state, <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> consumption during the reduction of nitrogen intermediates, and shifts in microbial functional communities (Chen et al., 2023; Slessarev et al., 2016; Wu et al., 2026). Under strong oxidative fumigation conditions, the abundance of denitrification genes increased (Fig. S8), which likely led to greater <inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> consumption, thereby raising the soil pH. Furthermore, the differential responses among soil types, rather than a uniform shift across all treatments, suggest that the pH increase was predominantly driven by the fumigation gases rather than merely by the duration of laboratory incubation. Fig. S9 in the Supplement results showed that soil pH was remarkably positively correlated with <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M613" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (<inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), in agreement with the findings of (Scharko et al., 2015). Therefore, soil pH increased probably one reason for the increased emissions of <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> from forested soils under fumigation. Moreover, it has also been shown that soils with pH near neutrality were capable of more <inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (Oswald et al., 2013). While atmospheric nitrogen deposition, as a new nitrogen input to terrestrial ecosystems, possibly causes an increased soil carbon storage (Bala et al., 2013; Magnani et al., 2007), consistent with the results of this study on increased soil DOC content under fumigation. It was shown that atmospheric nitrogen deposition decreased the soil <inline-formula><mml:math id="M618" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio, facilitated the mineralization of organic matter in the soil, increased the accumulation of inorganic nitrogen in the soil (Fu et al., 2020; Lu et al., 2011). This phenomenon was seen in cropland soils, where increased <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> content was found at elevated fumigation concentrations (Fig. S8). The results showed that under <inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fumigation, cropland soils possibly preferred to undergo mineralization and nitrification processes, which resulted in higher nitrogen accumulation and lower gaseous losses, consistent with the results of the <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions we measured (Fig. S7). Grassland soils under high concentration of <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> fumigation increased pH and decreased <inline-formula><mml:math id="M626" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> content, which was not beneficial to soil <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions in this condition, as well as raised <inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> content indicating that grassland soil tended to undergo the process of <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> accumulation more than <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> consumption under high concentration of fumigation (Figs. 5 and S8). Therefore, <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M632" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions from grassland soils under <inline-formula><mml:math id="M633" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M635" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fumigation tended to decrease (Figs. 5 and S6). Functional microbial genes associated with nitrogen cycling in forest soils were sensitive to nitrogen addition (Levy-Booth et al., 2014). In this study, the abundance of <italic>nxrB</italic>, <italic>nirK</italic> and <italic>nirS</italic> genes was altered in forest soils under different concentration gradients of <inline-formula><mml:math id="M636" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which increased significantly under high <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fumigation, resulting in the decomposition of more <inline-formula><mml:math id="M641" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M642" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, thereby releasing more <inline-formula><mml:math id="M643" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M644" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> (Figs. S5 and S8). It should be noted that the effects observed in the fumigation experiments (Figs. S5–S7) are discussed qualitatively but are not incorporated into the annual emission parameterization. The annual model relies on long-term in-situ soil properties, which makes it challenging to extrapolate short-term chemical feedback to a regional scale. Therefore, this qualitative discussion highlights the complex interplay between atmospheric chemistry and soil biogeochemistry. Furthermore, exposure to elevated <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also affected the diversity and composition of soil microorganisms, as well as the key flora involved in the nitrogen cycle, all of which were also related to soil <inline-formula><mml:math id="M647" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emissions (Berthrong et al., 2014; Fierer et al., 2012; Leff et al., 2015; Treseder, 2008; Wang et al., 2018; Zhang et al., 2018b). However, this study has not obtained the relevant data, which leads to the limitation of the study modeling the effects of atmospheric <inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M649" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exposure on soil <inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gas emission.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e7453">Spatial distribution of annual emissions of <inline-formula><mml:math id="M651" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, <inline-formula><mml:math id="M652" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, and <inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> from soils in Tibet. The values in bracket show the minimum and maximum emissions.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14617/2026/acp-26-14617-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Regional soil <inline-formula><mml:math id="M654" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M655" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions and atmospheric implications</title>
      <p id="d2e7524">The annual emissions of soil <inline-formula><mml:math id="M656" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> gases in Tibet were estimated as 7.0 <inline-formula><mml:math id="M657" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.4 <inline-formula><mml:math id="M658" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M659" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, 11.6 <inline-formula><mml:math id="M660" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.8 <inline-formula><mml:math id="M661" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M662" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and 20.3 <inline-formula><mml:math id="M663" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.0 <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M665" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in 2021, respectively (Fig. 6 and Table S10 in the Supplement). These emissions were lower with the recently reported <inline-formula><mml:math id="M666" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> value of 12.3 <inline-formula><mml:math id="M667" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> but higher than the <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of 8.9 <inline-formula><mml:math id="M669" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for 2015 (Li et al., 2026). This discrepancy arises mainly from improved model inputs in this study, including in-situ soil moisture and microbial activity data, in contrast to statistical interpolation with sparse field observations in previous work.</p>
      <p id="d2e7704">By land-use type, bare soils are the largest contributor due to their vast coverage (43 % of land area), accounting for 43 % of <inline-formula><mml:math id="M670" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> (3.0 <inline-formula><mml:math id="M671" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M672" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), 46 % of <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> (5.3 <inline-formula><mml:math id="M674" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.2 <inline-formula><mml:math id="M675" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and 67 % of <inline-formula><mml:math id="M676" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (13.6 <inline-formula><mml:math id="M677" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6 <inline-formula><mml:math id="M678" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) emissions. This aligns with studies highlighting high <inline-formula><mml:math id="M679" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions from desert soils and biological soil crusts (Bhattarai et al., 2021; Meusel et al., 2018). Grasslands contribute 29 % to <inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and 44 % to <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emissions. Our estimated grassland <inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> emission of 0.2 (0–1.7) <inline-formula><mml:math id="M683" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is comparable with previous plateau studies (Gao et al., 2016; Holst et al., 2007; Lin et al., 2019; Yao et al., 2019; Zhang et al., 2018a). Croplands, despite having the highest fluxes per unit area (Fig. 3), contribute only 8 % to <inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions (0.5 <inline-formula><mml:math id="M685" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) due to their limited spatial extent (<inline-formula><mml:math id="M687" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.3 %). This contrasts with global patterns where croplands are often the dominant source (Wu et al., 2022b), highlighting the unique emission profile of the Tibetan Plateau where natural ecosystems prevail. To validate our estimates, the upscaling model integrated both measured and published field data from the Tibetan Plateau (Table S4). Our <inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates are consistent with recent regional bottom-up inventories (Li et al., 2026; Wu et al., 2022b) and provide useful constraints for GEOS-Chem simulations over the Third Pole (Wang et al., 2025a).</p>
      <p id="d2e7940">To quantify the contribution of soil <inline-formula><mml:math id="M690" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions to the atmospheric budget, we integrated our flux data with observations from the Nam Co Multisphere Observation and Research Station. Our optimized calculation framework, combining the external source definition and the soil-atmosphere exchange model (Meusel et al., 2018), reveals that soil <inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions on the Tibetan Plateau produce a volume mixing ratio of 10.5 <inline-formula><mml:math id="M692" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This accounts for approximately 10.5 % of the 100 <inline-formula><mml:math id="M693" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> external daytime <inline-formula><mml:math id="M694" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> source identified in the plateau's background atmosphere (Wang et al., 2023a). When combined with the estimated surface nitrate photolysis contribution of <inline-formula><mml:math id="M695" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 35 <inline-formula><mml:math id="M696" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from the same study, these two pathways jointly explain 45.5 % of the missing <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> source. These findings highlight that surface processes, particularly soil emissions, play a crucial role in regulating atmospheric <inline-formula><mml:math id="M698" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and consequently influence the oxidative capacity of the plateau's atmosphere.</p>
      <p id="d2e8043">For <inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, our estimated soil emissions of 20.3 <inline-formula><mml:math id="M700" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.0 <inline-formula><mml:math id="M701" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> dwarfs the weak anthropogenic emissions of less than 5 <inline-formula><mml:math id="M702" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> reported by Wang et al. (2023a). This establishes soils as the dominant natural <inline-formula><mml:math id="M703" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> source on the plateau. The high <inline-formula><mml:math id="M704" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M705" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) emission ratio, we observed for bare soil (0.49) is consistent with the elevated daytime <inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> concentration ratio of 0.31 <inline-formula><mml:math id="M708" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06 observed at Nam Co. This observed concentration ratio significantly exceeds the photo-stationary state ratio (0.02–0.05) for internal cycling, which confirms that soil emissions are a primary driver of this chemical disequilibrium. Under intense solar radiation on the Tibetan Plateau, <inline-formula><mml:math id="M709" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emitted from soils undergoes rapid photolysis to generate OH radicals, while <inline-formula><mml:math id="M710" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions from soils provide key precursors for tropospheric <inline-formula><mml:math id="M711" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production. Continuous warming and wetting of the Tibetan Plateau (Yan et al., 2026) likely further enhance soil <inline-formula><mml:math id="M712" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions, forming positive feedback that strengthens atmospheric oxidation capacity. This climate–chemistry feedback requires accurate representation in Earth system models to support reliable projections of air quality, ecosystem stability, and the lifetime of greenhouse gases over this climatically sensitive region.</p>
      <p id="d2e8215">Our study further identifies that soil <inline-formula><mml:math id="M713" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions uniquely modulate the regional atmospheric chemical balance by elevating the <inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> ratio beyond the atmospheric internal cycling equilibrium. Our field-constrained soil <inline-formula><mml:math id="M715" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M716" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emission estimates provide key constraints to reduce the underestimation of <inline-formula><mml:math id="M717" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in GEOS-Chem simulations (Wang et al., 2025a) and narrow the gap between modelled and observed atmospheric chemistry over the Third Pole. The distinctiveness of this effect stems from the plateau's extreme environment: intense solar radiation (<inline-formula><mml:math id="M718" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">j</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> up to 5.5 <inline-formula><mml:math id="M719" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M721" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, double the sea-level value) accelerates <inline-formula><mml:math id="M722" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> photolysis to OH radicals, while the high background <inline-formula><mml:math id="M723" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (Yin et al., 2017) mean soil <inline-formula><mml:math id="M724" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions sustain <inline-formula><mml:math id="M725" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> accumulation without significant anthropogenic interference. In contrast to global studies that emphasize the role of soil <inline-formula><mml:math id="M726" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions in particulate matter pollution (Li et al., 2026), our regional observations demonstrate that soil <inline-formula><mml:math id="M727" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions on the Tibetan Plateau directly and strongly regulate atmospheric oxidation capacity and <inline-formula><mml:math id="M728" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycling, with profound cascading effects on regional air quality and climate systems.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e8402">The Tibetan Plateau's soil <inline-formula><mml:math id="M729" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions exhibit distinct patterns shaped by land-use characteristics and environmental factors. Cropland soils emitted the highest fluxes of <inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M731" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M732" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, driven by soil pH and inorganic nitrogen content, along with abundant nitrogen-cycling functional genes such as <italic>amoA</italic> and microbial communities dominated by Actinobacteriota and Crenarchaeota. These findings confirm that agricultural soils serve as significant sources of <inline-formula><mml:math id="M733" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M734" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to their unique biogeochemical properties. However, despite higher per-area emissions from croplands, the extensive grassland and bare land areas contributed substantially more to total annual <inline-formula><mml:math id="M735" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions at the regional scale, demonstrating how land-use distribution fundamentally influences nitrogen budgets.</p>
      <p id="d2e8471">Atmospheric interactions further modulate these emission patterns in complex ways. Exposure to <inline-formula><mml:math id="M736" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M737" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced divergent responses across ecosystems-forest soils increased emissions, likely through pH elevation and enhanced activity of nitrification genes including <italic>nxrB</italic>, <italic>nirK</italic>, and <italic>nirS</italic> that accelerate <inline-formula><mml:math id="M738" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M739" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> decomposition. Conversely, cropland and grassland soils became emission sinks as altered soil properties, such as accumulated <inline-formula><mml:math id="M740" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in croplands and reduced <inline-formula><mml:math id="M741" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in grasslands favored nitrogen retention over release. These contrasting responses highlight the intricate relationships between atmospheric chemistry and soil biogeochemistry mediated by microbial communities.</p>
      <p id="d2e8558">The regional atmospheric impacts of these emissions prove significant despite modest global contributions. Estimated annual soil emissions reached 7.0 <inline-formula><mml:math id="M742" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.4 <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M744" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> and 20.3 <inline-formula><mml:math id="M745" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.0 <inline-formula><mml:math id="M746" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Gg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M747" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> across Tibet. Soil <inline-formula><mml:math id="M748" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> emissions account for approximately 10.5 % of the external daytime <inline-formula><mml:math id="M749" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> source identified in the plateau's background atmosphere, modulating the regional atmospheric chemical balance by elevating the <inline-formula><mml:math id="M750" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> ratio beyond the atmospheric internal cycling equilibrium. Under the plateau's intense solar radiation, rapid <inline-formula><mml:math id="M751" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:math></inline-formula> photolysis likely boosted <inline-formula><mml:math id="M752" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula> radical production, thereby enhancing atmospheric oxidation capacity. Such processes may exacerbate <inline-formula><mml:math id="M753" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M754" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution with cascading effects on regional climate and air quality. These findings underscore soil <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Nr</mml:mi></mml:mrow></mml:math></inline-formula> emissions as crucial components of the Tibetan Plateau's nitrogen cycle and atmospheric chemistry, with implications for understanding climate change impacts and developing mitigation strategies in this ecologically vulnerable region.</p>
</sec>

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

      <p id="d2e8722">The data that supports the findings of this study are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.21628446" ext-link-type="DOI">10.5281/zenodo.21628446</ext-link> (Deng et al., 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e8728">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-14617-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-14617-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e8737">LLD performed the measurement, data analysis and visualization, and wrote the manuscript. YHC performed the data analysis and visualization and wrote the manuscript. CXY contributed to writing – review and editing. RW performed the measurement and data analysis. RHW and ZHF performed the measurement. HFZ contributed to funding acquisition, methodology, supervision, and writing – review and editing. DMW contributed to conception, funding acquisition, methodology, supervision, and writing – review and editing. LLD and YHC prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e8743">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="d2e8749">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="d2e8755">We acknowledge the staff at the Nam Co Multisphere Observation and Research Station for their assistance in field sampling and data collection. We acknowledge the laboratory and technical support provided by the Key Laboratory of Geographic Information Science (Ministry of Education, East China Normal University), the State Key Joint Laboratory for Environmental Simulation and Pollution Control (Peking University), and the State Key Laboratory of Soil and Sustainable Agriculture (Institute of Soil Sciences, Chinese Academy of Sciences).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e8760">This study was supported by the National Natural Science Foundation of China (grant no. 42477328) and the National Key Research and Development Program of China (grant nos. 2023YFC3707401 and 2026YFE0151200).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e8766">This paper was edited by Zhibin Wang and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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