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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ESSDD</journal-id>
<journal-title-group>
<journal-title>Earth System Science Data Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ESSDD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1866-3591</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/essd-2025-480</article-id>
<title-group>
<article-title>Deriving regional and point source nitrogen oxides emissions in China from TROPOMI using the directional derivative approach with nonlinear chemical lifetime fitting</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Chen</surname>
<given-names>Ling</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cai</surname>
<given-names>Zhaonan</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sun</surname>
<given-names>Kang</given-names>
<ext-link>https://orcid.org/0000-0002-9930-7509</ext-link>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>Yi</given-names>
<ext-link>https://orcid.org/0000-0001-9305-5358</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yang</surname>
<given-names>Dongxu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Li</surname>
<given-names>Mingming</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhu</surname>
<given-names>Lingyun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Carbon Neutrality Research Center, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,  China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>University of Chinese Academy of Sciences, Beijing 100049, China</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Shanxi Center of Technology Innovation for Environmental Meteorology Forecast and Evaluation, Shanxi Institute of  Meteorological Science, Taiyuan 030002, China</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>State Key labrotory of Atmospheric Enviroment and Extreme Meterology, Institute of Atmospheric Physics, Chinese  Academy of Sciences, Beijing 100029, China</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>State Key Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai,   200083, China</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>Department of Civil, Structural and Environmental Engineering, University at Buffalo, Buffalo, NY, USA</addr-line>
</aff>
<aff id="aff7">
<label>7</label>
<addr-line>Research and Education in Energy, Environment and Water Institute, University at Buffalo, Buffalo, NY, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>03</day>
<month>11</month>
<year>2025</year>
</pub-date>
<volume>2025</volume>
<fpage>1</fpage>
<lpage>28</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2025 Ling Chen et al.</copyright-statement>
<copyright-year>2025</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://essd.copernicus.org/preprints/essd-2025-480/">This article is available from https://essd.copernicus.org/preprints/essd-2025-480/</self-uri>
<self-uri xlink:href="https://essd.copernicus.org/preprints/essd-2025-480/essd-2025-480.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/preprints/essd-2025-480/essd-2025-480.pdf</self-uri>
<abstract>
<p>An appropriate representation of the NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt;/NO&lt;sub&gt;2&lt;/sub&gt; ratio and NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; lifetime is essential for estimating NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; emissions from satellite NO&lt;sub&gt;2&lt;/sub&gt; observations. We introduce a satellite-based, data-driven approach that applies variable NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt;/NO&lt;sub&gt;2&lt;/sub&gt; ratio and derives a nonlinear chemical lifetime using a piecewise fitting method based on the directional derivative approach (DDA). This method enables the estimation of both regional and point-source NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; emissions across China, representing the first application of a lightweight, satellite-driven method to directly capture nonlinear NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; lifetime for emission estimation over large, topographically complex region. The incorporation of a variable NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt;/NO&lt;sub&gt;2&lt;/sub&gt; ratio enhances the accuracy of source divergence and emission estimates and the improved fitting scheme captures the nonlinear behavior of NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; chemistry. Anthropogenic contributions are isolated by subtracting natural sources from satellite-derived total emissions, with natural NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; identified using a seasonal criterion and further constrained by Nighttime Light (NTL) data. Estimated anthropogenic NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; emissions in China from 2019 to 2024 are 20.2 Tg, 18.5 Tg, 19.4 Tg, 18.9 Tg, 20.7 Tg and 18.8 Tg, respectively, with annual uncertainties of 27 %&amp;ndash;30 %. These values show good agreement with both bottom-up inventories and top-down inversions, with national scale discrepancies ranging from &amp;minus;11.8 % to 0.8 %. The DDA captures key spatial and temporal emission patterns, including consistent decline in NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; emissions in megacities and provincial disparities linked to urbanization and economic development. The DDA estimates are consistent with previous studies on coal-fired power plant emissions, and emissions from 124 plants vary between 0.02&amp;ndash;2.13 kg s&lt;sup&gt;&amp;minus;1&lt;/sup&gt; for 2019&amp;ndash;2024, with uncertainties spanning 4 %&amp;ndash;78 %, averaging 16 %. This satellite-based, lightweight method enables low-latency, timely long-term monitoring of NO&lt;em&gt;&lt;sub&gt;x&lt;/sub&gt;&lt;/em&gt; emissions and offers a promising alternative to bottom-up inventories and resource-intensive top-down models. The data are publicly available at &lt;a href=&quot;https://zenodo.org/records/16787342&quot; target=&quot;_blank&quot; rel=&quot;noopener&quot;&gt;https://zenodo.org/records/16787342&lt;/a&gt; (Chen et al., 2025).</p>
</abstract>
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