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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-26-14559-2026</article-id><title-group><article-title>Shifting patterns of Ozone Season due to policy and human activity in Beijing between 2013 and 2023</article-title><alt-title>Shifting patterns of Ozone Season due to policy and human activity</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Qian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dong</surname><given-names>Xiaofei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Guo</surname><given-names>Yuanxi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Shen</surname><given-names>Xiue</given-names></name>
          <email>shenxiue@bjmemc.com.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Zhang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zhao</surname><given-names>Chunsheng</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Beijing Municipal Ecological and Environmental Monitoring Center, Beijing, 100048, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Atmospheric and Oceanic Sciences, School of Physics, Peking University, Beijing, 100871, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xiue Shen (shenxiue@bjmemc.com.cn)</corresp></author-notes><pub-date><day>15</day><month>October</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>20</issue>
      <fpage>14559</fpage><lpage>14575</lpage>
      <history>
        <date date-type="received"><day>31</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>17</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>5</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>18</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Qian Li et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026.html">This article is available from https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e135">Since 2013, Beijing has implemented a series of stringent measures to control air pollution, resulting in significant improvements in air quality. This study examines the decadal evolution of surface ozone in Beijing from 2013 to 2023 against the backdrop of continuous emission reduction policies. The Ozone Season in Beijing exhibited pronounced interannual variability, while linear trend analysis indicated a tendency toward prolonged duration. Low-percentile concentrations of the maximum 8 h moving average ozone (MDA8) showed a statistically significant upward trend, whereas mean and high-percentile values exhibited nonsignificant monotonic trends. The ozone exposure window shifted toward later hours, particularly during the cold season. Diurnal peak concentrations decreased, while trough concentrations increased, leading to a flattened diurnal variation. Furthermore, both the maximum ozone production and loss rates decreased in absolute magnitude, with the production peak tending to occur earlier in the day. These findings establish an observational baseline for understanding urban ozone evolution under intensified emission controls and provide implications for future policy formulation and public health protection strategies.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2022YFC3703400</award-id>
<award-id>2024YFC3713400</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.Sx1" specific-use="unnumbered">
  <title>Highlights</title>
      <p id="d2e145"><list list-type="order">
          <list-item>

      <p id="d2e150">The Ozone Season in Beijing prolonged.</p>
          </list-item>
          <list-item>

      <p id="d2e156">Summertime ozone exposure extends into the nighttime.</p>
          </list-item>
          <list-item>

      <p id="d2e162">Both diurnal production and destruction rates dropped</p>
          </list-item>
        </list></p>
</sec>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e175">Urban ozone poses a significant threat to public health, as long-term exposure to elevated ground-level ozone increasing the risks of respiratory, cardiovascular and other diseases (Nuvolone et al., 2018; Crouse et al., 2015; Zhang et al., 2019; Wang et al., 2020b; Liu et al., 2018). Tropospheric ozone formation is governed by photochemical reactions involving its precursors, primarily volatile organic compounds (VOCs) and nitrogen oxides (NO<sub><italic>x</italic></sub>), which are largely emitted from urban industrial activities and vehicular traffic. In addition to precursor emissions, meteorological and climate conditions exert substantial influence on the temporal variability and long-term trends of surface ozone (Sitch et al., 2007; Bais et al., 2018; Bernhard et al., 2023).</p>
      <p id="d2e187">Beijing, the capital of China, is situated in the northern North China Plain and has a population of approximately 22 million. As a major megacity in northern China and international metropolis, its environmental quality in Beijing has garnered substantial attention (Huang et al., 2017; Qiang and Hu, 2022; Li et al., 2020; Streets et al., 2007). Since 2013, the city has implemented comprehensive air pollution control measures (Li et al., 2020; Wen et al., 2021; Wang et al., 2023), achieving remarkable reductions in primary pollutant concentrations that have been recognized by the United Nations Environment Programme as the “Beijing Miracle” (Climate and Clean Air Coalition, 2019). However, improvements in ozone concentrations have lagged those of other pollutants such as PM<sub>2.5</sub>, and the pronounced interannual variability of ozone levels indicates that mitigating ozone pollution presents a more complex challenge.</p>
      <p id="d2e199">Amid these pollution control efforts, substantial changes in the magnitude and composition of atmospheric emissions have occurred in Beijing and its surrounding regions (Zhang et al., 2016; Xue et al., 2020; Li et al., 2017; Wu et al., 2023). Consequently, a systematic examination of ozone variations over the past decade is essential for evaluating the effectiveness of these measures and informing future policy directions.</p>
      <p id="d2e202">Previous research on ozone in Beijing has focused predominantly on the summer months (Xu et al., 2011; Wang et al., 2020a; Zhang et al., 2021; Zhao et al., 2018), despite ozone pollution occurring year-round, typically from March to October, with pronounced episodes in spring and autumn (Chen et al., 2019; Wang et al., 2020c; Wang et al., 2015). Given the substantial interannual variability in ozone levels, long-term trend analysis is essential for advancing our understanding of overall evolution of surface ozone concentrations. This study introduced the concept of the Ozone Season to delineate periods of concentrated ozone pollution across different years and to facilitate examination of its long-term trends.</p>
      <p id="d2e206">The Ozone Season was first established in North American studies (Cox and Shao-Hang, 1996), where it was identified as June to September for northern cities and May to October for southern cities. Notably, Cardelino (Cardelino et al., 2001)indicated that the typical Ozone Season in the United States spans early May through late September, while Qin (Qin et al., 2004) defined it for Southern California as June to October. In China, studies have generally adopted the warm season (April to September) as the analytical framework for ozone pollution (Lu et al., 2020; Li et al., 2021b; Gao et al., 2021). However, owing to regional climatic and meteorological differences, the duration of ozone pollution varies considerably. In northern Chinese cities, ozone pollution typically occurs from April to September, whereas in southern cities such as Guangzhou and Chengdu, it may extend through October or even into November and December (Wang et al., 2017; Li et al., 2021a; Wang et al., 2022).</p>
      <p id="d2e209">Consequently, the warm season does not fully capture ozone pollution events across different areas. Therefore, the Ozone Season is defined here as the period when photochemical ozone production is most active, making it more suitable for characterizing the regional features of ozone pollution. Ozone Season describes the interval during which photochemical ozone production is maximized, and surface ozone concentrations are frequently elevated. By design, the Ozone Season is tied to the photochemical lifecycle of ozone rather than to a fixed calendar, thereby naturally capturing the regional and seasonal heterogeneity of ozone pollution.</p>
      <p id="d2e212">According to China Ministry of Ecology and Environment, a day is designated as an ozone pollution day when the maximum 8 h moving average (MDA8) exceeds 160 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> (Ministry of Ecology and Environment of the People's Republic of China‌, 2012). Based on this standard, this study defines the Ozone Season as the continuous period from the first to the last MDA8 pollution event within a given year. Utilizing ground-level ozone monitoring data from Beijing between 2013 and 2023, this research examined changes in the Ozone Season and the long-term trends in ozone production and loss rates, with the aim of evaluating the efficacy of pollution control strategies in mitigating ozone pollution.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data instruction</title>
      <p id="d2e250">This study utilized daily and hourly ozone data from Beijing for the period 2013 to 2023, obtained from the China National Environmental Monitoring Centre (CNEMC; <uri>https://www.cnemc.cn/en/</uri>, last access: 6 February 2025). Ozone concentrations were measured using Thermo-Fisher 49C ozone analyzers, which employ ultraviolet photometry and report concentration in standard mass units (<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>). Data was collected from 23 national air quality monitoring stations strategically distributed across urban and suburban areas to ensure representative spatial coverage. City-level hourly ozone levels were calculated as the arithmetic means of measurements from all operational stations, with city MDA8 derived from MDA8 of stations. All measurements comply with the ambient air quality standards (GB3095-2012) established by the Ministry of Ecology and Environment of China.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e278">Spatial distribution of Beijing stations.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Research methods</title>
      <p id="d2e295">According to the standards set by the Ministry of Ecology and Environment of China, days on which the MDA8 exceeded 160 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> were classified as ozone pollution days. This research analyzed the temporal trends in the first and last pollution days of each year to determine the duration of the Ozone Season, defined as the interval between these two dates. Additionally, the ozone concentration changes on representative pollution days over the past decade were examined to characterize shifts in ozone production and loss regimes in Beijing.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Ozone data quality control</title>
      <p id="d2e325">Typical ozone days were selected to minimize the confounding effects of specific meteorological conditions, including precipitation, strong winds, and overcast skies, on daily ozone concentrations. Days with cumulative precipitation exceeding 0.1 mm or with sustained wind speeds above 5 m s<sup>−1</sup> for more than two hours were excluded from the analysis. Filtering is designed to identify photochemically typical days rather than to normalize meteorological conditions. Following this meteorological screening, the proportion of typical ozone days during the Ozone Season from 2013 to 2023 ranged from 54.3 % to 76.7 % across the study period (2013–2023). Notably, 2021 recorded the shortest Ozone Season and the lowest proportion of valid data after accounting for weather-based exclusions. Utilizing the retained hourly ozone data, interannual trends in typical diurnal ozone variation patterns were analyzed.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e343">Proportion of effective typical ozone days in Ozone Season from 2013 to 2023.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">2013</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">2015</oasis:entry>
         <oasis:entry colname="col5">2016</oasis:entry>
         <oasis:entry colname="col6">2017</oasis:entry>
         <oasis:entry colname="col7">2018</oasis:entry>
         <oasis:entry colname="col8">2019</oasis:entry>
         <oasis:entry colname="col9">2020</oasis:entry>
         <oasis:entry colname="col10">2021</oasis:entry>
         <oasis:entry colname="col11">2022</oasis:entry>
         <oasis:entry colname="col12">2023</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Valid days</oasis:entry>
         <oasis:entry colname="col2">72</oasis:entry>
         <oasis:entry colname="col3">111</oasis:entry>
         <oasis:entry colname="col4">95</oasis:entry>
         <oasis:entry colname="col5">107</oasis:entry>
         <oasis:entry colname="col6">91</oasis:entry>
         <oasis:entry colname="col7">115</oasis:entry>
         <oasis:entry colname="col8">123</oasis:entry>
         <oasis:entry colname="col9">107</oasis:entry>
         <oasis:entry colname="col10">63</oasis:entry>
         <oasis:entry colname="col11">135</oasis:entry>
         <oasis:entry colname="col12">131</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total days</oasis:entry>
         <oasis:entry colname="col2">130</oasis:entry>
         <oasis:entry colname="col3">166</oasis:entry>
         <oasis:entry colname="col4">159</oasis:entry>
         <oasis:entry colname="col5">150</oasis:entry>
         <oasis:entry colname="col6">135</oasis:entry>
         <oasis:entry colname="col7">167</oasis:entry>
         <oasis:entry colname="col8">168</oasis:entry>
         <oasis:entry colname="col9">166</oasis:entry>
         <oasis:entry colname="col10">116</oasis:entry>
         <oasis:entry colname="col11">176</oasis:entry>
         <oasis:entry colname="col12">180</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Effective rate (%)</oasis:entry>
         <oasis:entry colname="col2">55.4</oasis:entry>
         <oasis:entry colname="col3">66.9</oasis:entry>
         <oasis:entry colname="col4">59.7</oasis:entry>
         <oasis:entry colname="col5">71.3</oasis:entry>
         <oasis:entry colname="col6">67.4</oasis:entry>
         <oasis:entry colname="col7">68.9</oasis:entry>
         <oasis:entry colname="col8">73.2</oasis:entry>
         <oasis:entry colname="col9">64.5</oasis:entry>
         <oasis:entry colname="col10">54.3</oasis:entry>
         <oasis:entry colname="col11">76.7</oasis:entry>
         <oasis:entry colname="col12">72.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Trends analysis method</title>
      <p id="d2e555">The Mann-Kendall (MK) test is a non-parametric statistical method widely used for detecting monotonic trends in long-term environmental time series (Mann, 1945; Kendall, 1975; Sen, 1968). As a rank-based procedure, it does not require the data to conform to a specific probability distribution and is relatively robust to outliers, which makes it particularly suitable for atmospheric concentration records that are frequently skewed or contain extreme values (Gilbert, 1987).</p>
      <p id="d2e558">For a time series containing <inline-formula><mml:math id="M10" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> observations (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the MK test statistic <inline-formula><mml:math id="M12" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is computed as the sum of the signs of all pairwise differences:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M13" display="block"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mi mathvariant="normal">sign</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

            where sign<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the signum function, taking values of <inline-formula><mml:math id="M15" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1 when <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, 0 when <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M18" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 when <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Under the null hypothesis of no trend, statistic <inline-formula><mml:math id="M20" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>  is approximately normally distributed for <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>, with a mean of zero and a variance of:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M22" display="block"><mml:mrow><mml:mi mathvariant="normal">Var</mml:mi><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>q</mml:mi></mml:msubsup><mml:msub><mml:mi>t</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>t</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mn mathvariant="normal">18</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M23" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>  is the number of tied groups and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the number of observations in the <inline-formula><mml:math id="M25" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>th tied group. The standardized test statistic <inline-formula><mml:math id="M26" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> is then calculated as:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M27" display="block"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left left"><mml:mtr><mml:mtd><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:msqrt><mml:mrow><mml:mi mathvariant="normal">Var</mml:mi><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle></mml:mstyle></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0</mml:mn></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>S</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow><mml:msqrt><mml:mrow><mml:mi mathvariant="normal">Var</mml:mi><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle></mml:mstyle></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi>S</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1019">A positive (negative) <inline-formula><mml:math id="M28" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> value indicates an upward (downward) trend. The trend is deemed statistically significant at the 95 % confidence level when <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>Z</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1.96</mml:mn></mml:mrow></mml:math></inline-formula>. To quantify the magnitude of any detected trend, the Sen's slope estimator was additionally employed (Sen, 1968; Theil, 1950).</p>
      <p id="d2e1045">In this study, the MK test was applied to evaluate the long-term temporal trends in Ozone Season duration and ozone percentile concentrations, and to assess the robustness of interannual variations in the multi-year mean diurnal ozone cycles.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Ozone exposure window calculation</title>
      <p id="d2e1056">In recent years, urban ozone pollution has posed a persistent threat to human health, with the maximum daily average of ozone (MDA8) during the warm season widely adopted as a metric for assessing outdoor ozone exposure levels (Lu et al., 2020; Niu et al., 2022; Byun et al., 2022). MDA8 is defined as below.

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M30" display="block"><mml:mrow><mml:mi mathvariant="normal">MDA</mml:mi><mml:mn mathvariant="normal">8</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">Max</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msub><mml:mfenced open="{" close="}"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:mfrac></mml:mstyle><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

            <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the hourly ozone concentration (<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>) at hour <inline-formula><mml:math id="M34" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, where <inline-formula><mml:math id="M35" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is the starting hour of the sliding window, ranging from 01:00 to 17:00, yielding a total of 17 overlapping windows. MDA8 is defined as the maximum of these 8 h running averages. The corresponding 8 h period beginning at the start time of this maximum window represents the daily peak ozone exposure window. We denote the sequential hours of this period as <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">…</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which serves as an effective indicator of health risk warnings for sensitive populations. This continuous exposure duration is designated as T_MDA8. For convenience in the subsequent interannual and inter-seasonal comparisons, T_MDA8 is used to represent the temporal shift of peak exposure.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Changes in the Ozone Season in Beijing</title>
      <p id="d2e1239">Over the past decade, the onset of the first annual ozone pollution event in Beijing has demonstrably shifted to an earlier time in the year. Figure 2 illustrates the variations in the Ozone Season from 2013 to 2023. Here, FPD denotes the first ozone pollution day of the year, marking the beginning of the Ozone Season, while LPD represents the last ozone pollution day, indicating the season's conclusion. The secondary axis displays the duration of the Ozone Season. Analysis shows that this event typically occurs between March and May. In 2023, the earliest date was recorded on 30 March, whereas in 2021, the latest occurrence was on 16 May. April exhibited the highest frequency of first pollution days, with seven occurrences, accounting for 66 % of the total. May follows with three occurrences, and March with one. This trend reveals that the date of the first pollution event advanced from 5 May   2013  to 30 March   2023, indicating an average shift of approximately 3.5 d yr<sup>−1</sup> over the 11-year period.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1256">Changes in Beijing Ozone Season from 2013 to 2023.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f02.png"/>

        </fig>

      <p id="d2e1265">In contrast, the date of the last pollution event (LPD) in Beijing has been delayed over the same period. The final pollution occurrences are recorded between September and October, with the earliest date on 11 September  2013 and the latest on 6 October   2015. Unlike the first pollution days, the timing of the last pollution days exhibited substantially less variability, with 88 % of occurrences in September. The last pollution date was postponed from 11 September 2013 to 27 September  2023, representing a delay of 16 d and an average trend of 1.5 d yr<sup>−1</sup>, which is slower than the trend observed for the first pollution event.</p>
      <p id="d2e1281">Furthermore, the duration of the Ozone Season in Beijing has increased over the past decade. Defined as the interval between the first and last pollution days, the season ranged from 116 to 176 d, with an average length of 155 d. The length of the Ozone Season varied considerably from year to year, with 2021 being the shortest and 2022 the longest. The earlier occurrence of the first pollution event and the later occurrence of the last pollution event have collectively extended the Ozone Season by an average of 5.0 d yr<sup>−1</sup>, representing approximately 3.2 % of the average season length.</p>
      <p id="d2e1296">To assess the robustness of Ozone Season variations, we applied the Mann–Kendall (MK) test to the interannual trends of the first pollution day (FPD), last pollution day (LPD), and Ozone Season length. None of these metrics exhibited a statistically significant monotonic trend at the <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level. This is not entirely unexpected, as ozone photochemical production is highly sensitive to meteorological conditions, including temperature, solar radiation, and synoptic-scale circulation patterns (Li et al., 2019; Lu et al., 2020; Wang et al., 2025). Such climate-driven variability can introduce significant noise that may mask underlying long-term trends, especially in a relatively short (11 year) time series (Weatherhead et al., 1998). We identified 2017 and 2021 as anomalous years with markedly shorter Ozone Seasons, likely attributable to such meteorological anomalies. To test the underlying trend with reduced noise, we excluded these two outlier years. After this adjustment, the MK test <inline-formula><mml:math id="M45" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> values for FPD and Ozone Season length increased to 1.80 and 1.89, respectively, approaching the critical value of 1.96 for significance at the 95 % confidence level. This suggests a marginally significant tendency toward an earlier FPD and a prolonged season length once meteorological noise is reduced, whereas the LPD still exhibited a relatively weak <inline-formula><mml:math id="M46" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> value. Thus, after filtering out climate-driven anomalies, the results tentatively support the inference that the Ozone Season onset has shifted earlier and its duration has extended, although these trends remain sensitive to interannual meteorological variability.</p>
      <p id="d2e1325">Currently, international research has predominantly focused on the characteristics of ozone concentration(Chen et al., 2020; Yin et al., 2017; Cao et al., 2024), with insufficient studies addressing the long-term changes in the duration of the Ozone Season. As the Ozone Season represents a period of heightened ozone pollution, its extension-driven by a combination of advancing onset and delayed conclusion, poses additional health risks to the population, necessitating greater attention to the impacts of ozone over extended periods. The prolongation of the Ozone Season is likely linked to climate change and alterations in pollutant emission patterns (Schnell et al., 2016; Doherty et al., 2013; Sicard, 2021). Therefore, our findings highlight an urgent need for adaptive pollution control strategies that account for this lengthening high-risk period.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Changes in MDA8 percentile concentrations in Beijing</title>
      <p id="d2e1336">To examine the distribution characteristics of MDA8 concentrations across different years, box plots were generated for the period from 2013 to 2023. Figure 3 illustrates the minimum, 25th percentile, mean, median (50th percentile), 75th percentile, and maximum values of MDA8 for each year. The mean MDA8 concentrations ranged from 85 to 111 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, with the lowest recorded in 2013 and the highest in 2023. This demonstrates considerable interannual variability and an overall upward trend, with an average increase of approximately 2.4 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. Notably, the anomalous year of 2021 exhibited a mean concentration of 87 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, representing the second lowest value during this period.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1414">Beijing day MDA8 box diagram from 2013 to 2023.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f03.png"/>

        </fig>

      <p id="d2e1423">Over the past decade, the lower percentile concentrations of MDA8 in Beijing have also increased. Specifically, the minimum MDA8 concentrations rose from 4 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2013 to 14 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2023, reflecting a growth of 225 % with an average increase of 1.0 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. Similarly, the 25th and 50th percentile MDA8 concentrations increased by 24  and 31 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, respectively, with growth rates of 2.4  and 3.1 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. This rise in lower percentile concentrations suggests an increase in background ozone levels and an enhancement of atmospheric oxidizing capacity. The minimum and 25th percentile ozone concentrations passed the Mann-Kendall test (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), exhibiting a statistically significant increasing trend.</p>
      <p id="d2e1565">In contrast, high percentile MDA8 concentrations have exhibited no significant changes Over the study period. The maximum MDA8 concentration recorded was 311 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2014, while the minimum was 256 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2021. Fluctuations in the maximum and 75th percentile MDA8 concentrations demonstrated weak trends over time, likely attributable to substantial interannual meteorological variability. Notably, the 90th percentile MDA8 concentration exhibited a declining trend of approximately <inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. The correlation of changes in high-percentile ozone concentrations Over the study period was relatively weak, possibly due to the dominant influence of interannual meteorological fluctuations on extreme ozone values. This results in less pronounced long-term trends compared to lower concentration percentiles.</p>
      <p id="d2e1648">Recent studies have indicated that low percentiles (below the 25th percentile) of ozone concentrations have increased globally across all regions, whereas high percentiles (above the 75th percentile) have decreased in North America and Europe, but increased in the Southern Hemisphere and Japan (Christiansen et al., 2022). Yan's research (Yan et al., 2018) also identified an increase in the 5th percentile of ozone concentrations in Europe, alongside a rise in the 95th percentile. Chen's study (Chen et al., 2020) reported an upward trend in the 10th and 25th percentile low concentrations in Beijing since 2013, consistent with these global findings. However, changes in high percentile concentrations in Beijing were found to be insignificant. As many studies have suggested, the observed rise in low percentile concentrations across various global regions may be linked to decreased emissions of ozone precursors, along with contributions from stratospheric or upper-tropospheric ozone transport. The overall increase in mean concentrations may indicate a worsening trend in ozone pollution, potentially connected to broader global climate changes that enhance ozone long-range transport and create more favorable conditions for ozone production under elevated temperatures.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Changes in ozone exposure time in Beijing</title>
      <p id="d2e1659">The maximum daily 8 h average (MDA8) identifies the time window with the highest ozone concentration on a given day. For sensitive populations, this window warrants particular attention for health protection measures. We introduce the term ozone exposure window time (T_MDA8) to denote this period and examine its interannual variability as well as the differences between the warm and cold seasons.</p>
      <p id="d2e1662">Figure 4 reveals significant differences in ozone exposure window (T_MDA8) between the cold and warm seasons in Beijing. From November to January, the ozone exposure window ranges from 11:00 to 19:00. As temperatures rise, this exposure window shifts to later hours, extending from 14:00 to 21:00 during April to September. This indicates that populations are exposed to elevated ozone levels even during nighttime in the warm season. This shift is consistent with the extended photochemical production period during longer daylight hours and the delayed NO titration minimum in the warm season.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1667">Average duration of MDA8 ozone in Beijing by month from 2013 to 2023.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f04.png"/>

        </fig>

      <p id="d2e1677">Over the study period, a noticeable trend of delayed ozone exposure times was observed during the cold season (October to March). The starting time (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of ozone exposure shifted from predominantly 10:00 and 11:00 in 2013 to a new window of 12:00 to 13:00 by 2023, indicating a postponement in the occurrence of peak ozone during the cold season, as shown in Fig. 5. A similar trend is observed in the warm season. However, this delay is less pronounced compared to that in the cold season, as shown in Fig. 6a. The starting time (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was 11:00–12:00 in 2013, but shifted to 12:00–13:00 during 2014 and 2023. This difference between seasons may be attributable to the more concentrated timing of ozone exposure events during the warm season, which reduces interannual variability in the peak onset time compared to the cold season.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1704">Variation in ozone exposure times (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) during the cold season and warm season from 2013 to 2023. The heatmap characterizes the frequencies of t1 occurrences at different times over these years.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f05.png"/>

        </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1726">Distribution frequencies of <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in cold season and warm season for 2013 and 2023 <bold>(a)</bold>, and distribution normalized frequencies of <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in pollution days and non-pollution days <bold>(b)</bold>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f06.png"/>

        </fig>

      <p id="d2e1763">This postponement of ozone exposure times suggested a delay in the occurrence of high ozone levels over the study period, which may extend the impact on human health into the nighttime hours. Currently, there is a lack of long-term studies on ozone exposure times in China. The variations in ozone exposure time in Beijing are influenced by changes in local ozone production characteristics, highlighting the importance of understanding these dynamics for evaluating the effectiveness of pollution control policies in addressing urban ozone levels.</p>
      <p id="d2e1766">Significant differences in ozone exposure times were observed between pollution days (MDA8 <inline-formula><mml:math id="M80" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 160 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>) and non-pollution days. Because the number of pollution days per year is substantially lower than that of non-pollution days, the frequency distribution was normalized to obtain relative frequencies (expressed as a percentage), as shown in Fig. 7. On pollution days, the starting time (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of ozone exposure window ranged from 11:00 to 16:00, with a peak occurring between 13:00 and 14:00. In contrast, on non-pollution days, the starting time (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) spanned from 01:00 to 16:00, with the majority occurring between 10:00 and 15:00. This indicates that ozone exposure time on pollution days is more temporally concentrated, primarily occurring during the afternoon to the evening. This time frame is critical for implementing protective measures for sensitive populations. This temporal concentration on pollution days reflects the dominance of intense photochemical production under favorable meteorological conditions, whereas the broader distribution on non-pollution days may result from weaker photochemical activity and greater influence of non-local transport processes.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1821">Variation in ozone exposure times (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) on pollution and non-pollution days from 2013 to 2023. The heatmap characterizes the normalized frequencies of t1 occurrences at different times over these years.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f07.png"/>

        </fig>

      <p id="d2e1841">Over the study period, a noticeable delay in the starting time (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of ozone exposure on non-pollution days was observed, shifting from predominantly 10:00–12:00 in 2013 to 11:00–14:00 in 2023. In contrast, changes in <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on pollution days are relatively minor, as shown in Fig. 6b. This difference may be attributed to the dominant influence of meteorological factors, particularly temperature, on ozone production during pollution days. Because pollution days predominantly occur in the warm season, the timing of high temperatures tends to be more consistent, resulting in a more constrained diurnal window for ozone production. On non-pollution days, which are distributed across both warm and cold seasons, weaker photochemical forcing and greater meteorological variability allow the ozone exposure window to shift more readily in response to changing synoptic conditions.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Diurnal variation of Ozone Season in Beijing</title>
      <p id="d2e1874">Based on hourly ozone data with meteorological influences removed during the Ozone Season, typical diurnal variation patterns of ozone from 2013 to 2023 were analyzed. Each year's diurnal ozone profile exhibited a clear unimodal pattern. Ozone concentrations decreased from 01:00, reaching a minimum between 06:00 and 07:00, then rose to a peak between 16:00 and 18:00, followed by a subsequent decline (Fig. 8a and b).</p>
      <p id="d2e1877">The analysis revealed a decreasing trend in peak ozone concentrations, accompanied by a delay in their occurrence. In contrast, trough concentrations exhibited an increasing trend, with trough times shifting earlier over the same period. From 2013 to 2023, peak ozone concentrations during the Ozone Season ranged from 137.8 to 184.5 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, with a declining trend in diurnal peak values at a rate of 3.6 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. Peak values typically occurred between 16:00 and 18:00, with a noticeable delay over the study period. Between 2013 and 2020 (excluding 2017), peak concentrations were consistently recorded at 16:00, whereas from 2021 to 2023, they shifted to 17:00–18:00. Trough values ranged from 23 to 42 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, exhibiting an increasing trend at a rate of 1.7 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>, with trough times occurring between 06:00 and 07:00. Notably, the trough time shifted to 06:00 from 2017 to 2023 (excluding 2021).</p>
      <p id="d2e1985">A notable observation was that daytime ozone concentrations decreased while nocturnal concentrations increased over the study period. The interannual variation curves of hourly ozone concentrations (Fig. 8c) indicated significant declining trends during the high-value period from 13:00 to 15:00 (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.80), with the most pronounced average decrease occurring at 16:00, at a rate of approximately 3.7 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. This trend remained consistent, except for anomalous values recorded in 2021. Conversely, increasing trends in ozone concentrations were observed during other periods, particularly during the low-value period from 22:00 to 09:00 (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> to 0.94), with an average increase at 08:00 of approximately 2.2 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. This opposing trend indicates a reduction in the diurnal amplitude of ozone, decreasing from 150 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2013 to 104 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> in 2023, at an average rate of 5.3 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. The flattening of the diurnal ozone profile suggests a weakening of both daytime ozone production and nocturnal ozone loss.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2162">The diurnal variation of ozone in Beijing during the Ozone Season from 2013 to 2023 <bold>(a)</bold> an hourly color chart, <bold>(b)</bold> a diurnal variation curve chart by every two years, <bold>(c)</bold> a yearly variation chart of hourly concentration by every three hours).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f08.png"/>

        </fig>

      <p id="d2e2180">Application of the MK test to the interannual evolution of hourly ozone concentrations, revealed a statistically significant increasing trend during 01:00–10:00 local time and a significant decreasing trend during 14:00–19:00 (both <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). These opposing phase shifts in the diurnal cycle may reflect changing photochemical regimes and evolving precursor emission patterns. These results align well with the findings presented above, further substantiating the conclusion that daytime peak ozone concentrations have declined, whereas nocturnal ozone concentrations have exhibited an upward trend.</p>
      <p id="d2e2195">Similar phenomena have been observed in the United States during the summer (He et al., 2020), where increases in morning and evening ozone concentrations are linked to reductions in anthropogenic NO<sub><italic>x</italic></sub> emissions, which weaken ozone titration. Chen (Chen et al., 2020) also noted a decrease in diurnal ozone amplitude in Beijing in recent years, particularly at lower concentration ranges. This study posits that substantial reductions in NO<sub><italic>x</italic></sub> emissions Over the study period have led to decreased nocturnal NO concentrations, weakening nighttime ozone loss and contributing to elevated nocturnal ozone levels. Conversely, the decline in daytime ozone peaks is likely associated with coordinated reductions in volatile organic compounds (VOCs) emissions in Beijing (Kang et al., 2021; Zhan et al., 2021; Wang et al., 2022). Since 2017, stricter VOCs emission controls have been implemented in Beijing and surrounding cities, leading to a continuous decrease in ambient VOCs concentrations (Wang et al., 2022). This decrease inhibits daytime ozone production and contributes to the observed decline in peak daytime concentrations.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Variation of ozone production and loss rates during Ozone Season in Beijing</title>
      <p id="d2e2225">By calculating the difference in ozone concentration between consecutive hours, we derived the hourly ozone change rate of (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), expressed in <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup>. A positive <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> indicates a net ozone production, while a negative <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reflects a net ozone loss. A value of zero signifies a balance between production and loss. The hourly ozone change rate represents the total net ozone tendency. Following Kaser and other studies (Kaser et al., 2017; He et al., 2023; Song et al., 2024), this metric is understood as the integrated outcome of all physical and chemical processes contributing to the local ozone budget, including entrainment driven by boundary-layer growth, horizontal advection, dry deposition, and photochemistry. As noted in previous studies (Gu et al., 2024; Liu et al., 2021), long-term averaging of diurnal ozone variations effectively suppresses synoptic-scale advection effects. This interpretation assumes that long-term averaging effectively filters out transport effects, such that the diurnal cycle of <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> primarily reflects local photochemical production and loss rather than advective contributions. Accordingly, we employ the hourly ozone change rate in this study to characterize net ozone production and loss.

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M124" display="block"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></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:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2355">We plotted heat maps and time series of <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for each year (Fig. 9a, b). The absolute value of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was lowest at approximately 07:00, suggesting that, on average, the increase in ozone concentration begins around this time. The primary net production of ozone occurred between 07:00 and 16:00, after which <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> became negative after 17:00, indicating the onset of net loss. This led to a decline in ozone concentration until approximately 06:00 the following day.</p>
      <p id="d2e2391">Over the study period, the maximum ozone production rate exhibited a decreasing trend, accompanied by an advancement in its timing. In contrast, the maximum loss rate diminished without significant changes in its timing. The maximum value of  <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), representing the peak production rate, occurred during the hour preceding and following the most rapid production period. Prior to 2016, the peak production rate was concentrated between 11:00 and 13:00. However, after 2016, it gradually shifted earlier to 10:00–12:00, indicating an advancement in peak production timing. From 2013 to 2015, <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased slightly from 24.7 to 29.1 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup>, but subsequently declined to 18.2 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup> in 2023 (Fig. 9c). This reflects a decreasing trend in maximum ozone production rates after 2015, at a rate of 1.0 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>.</p>
      <p id="d2e2525">The minimum value of <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) indicates the maximum net loss rate, ranging from <inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.5 to <inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.5 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup> and exhibiting a smaller magnitude relative to the maximum production rate. <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> typically occurred between 20:00 and 22:00, with 9 out of 11 years recording occurrences at 21:00. Over the study period, a clear upward trend in <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was observed, increasing at a rate of 1.2 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup> yr<sup>−1</sup>, suggesting a weakening of nocturnal ozone loss.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2667">Daily rate of ozone change in Beijing during the Ozone Season from 2013 to 2023 <bold>(a)</bold> an hourly color chart, <bold>(b)</bold> a diurnal variation curve chart by every two years, <bold>(c)</bold> a yearly variation chart of hourly concentration by every three hours).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f09.png"/>

        </fig>

      <p id="d2e2685">On average, ozone production rates exhibited a downward trend, resulting in a flattened diurnal profile. The interval between the morning and evening transition points of positive to negative  <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the duration of ozone production (<inline-formula><mml:math id="M154" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), which averaged 9 to 11 h, with the shortest duration of 9 h recorded in 2015. By subtracting the trough concentration from the peak concentration and dividing by the production duration (<inline-formula><mml:math id="M155" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), we calculated the average production speed (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) of ozone. Over the study period, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 9.4 to 17.1 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup>, demonstrating a decreasing trend at a rate of approximately 0.69 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> h<sup>−1</sup> yr<sup>−1</sup>. This indicates that both the maximum production and loss rates of ozone in Beijing have slowed, with the rate of change in loss exceeding that of production, resulting in a reduced diurnal variation.</p>
      <p id="d2e2835">The observed changes in ozone production and loss rates support the earlier conclusions about diurnal variation. This amplitude of diurnal ozone variation is diminishing, concomitant with a weakening of both ozone production and loss rates. Over the study period, reductions in anthropogenic emissions have altered the characteristics of ozone photochemistry. Specifically, coordinated decreases in VOCs and NO<sub><italic>x</italic></sub> have led to lower diurnal mean ozone production rates. Additionally, the reduction in nocturnal NO concentrations has diminished the titration sink for ozone during nighttime hours.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Differences of diurnal variation between pollution days and Ozone Season in Beijing</title>
      <p id="d2e2855">To further investigate the variation in ozone pollution in Beijing over the study period, we analyzed pollution days (MDA8 <inline-formula><mml:math id="M166" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 160 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>) for each year (Table 2). From 2013 to 2023, the number of pollution days ranged from 24 to 74, exhibiting substantial annual variability. Elevated numbers of pollution days were observed from 2014 to 2019, peaking in 2019, followed by a marked decline since 2020. The duration of the Ozone Season varied from 115 to 181 d. A weak positive correlation was found between the duration of the Ozone Season and the number of pollution days, suggesting that a longer Ozone Season may be accompanied by more pollution days.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e2887">Differences in diurnal variation between pollution days and Ozone Season in Beijing from 2013 to 2023.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f10.png"/>

        </fig>

      <p id="d2e2896">The peak and trough concentrations on pollution days exhibited trends similar to those observed during the Ozone Season, characterized by declining peaks and elevated troughs. A comparison of diurnal variations between pollution days and the Ozone Season revealed that the timing of peaks and troughs was consistent, with peaks primarily occurring around 16:00 and troughs between 06:00 and 07:00. On pollution days, a discernible trend of decreasing peak values and increasing trough values was observed, with peak concentrations declining at a rate of approximately 2.5 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>, which is 30.9 % lower than the peak reduction rate during the Ozone Season. In contrast, the trough increase rate of approximately 2.4 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup> was 37.3 % higher than the corresponding rate during the Ozone Season.</p>
      <p id="d2e2965">The similarity in diurnal variation patterns suggests that both ozone pollution days and typical days in Beijing are characterized by weakening ozone production and loss rates. The slower decline rate in peak concentrations and faster increase in trough concentrations on pollution days imply that favorable meteorological conditions lead to elevated precursors and NO concentrations in the atmosphere during these events, thereby sustaining ozone production capacity, while nocturnal conditions facilitate enhanced loss.</p>
      <p id="d2e2968">Over the study period, the concentration differences between pollution days and the Ozone Season have widened, with the ozone production capabilities on pollution days remaining relatively robust compared to those during the Ozone Season. Figure 10 presents a heat map illustrating the hourly concentration differences between pollution days and the Ozone Season. Hourly ozone concentrations on pollution days consistently exceeded those in the Ozone Season, with peak values surpassing those of the ozone season by 43 to 57 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>. In contrast, the differences in trough values were less pronounced, ranging from 1 to 11 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>.</p>
      <p id="d2e3011">Notably, the hourly concentration differences between pollution days and the Ozone Season exhibited an increasing trend over the study period, with peak differences increasing at a rate of approximately 1.0 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup> and trough differences increasing at approximately 0.65 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>. The correlation coefficients for these trends were 0.65 and 0.68, respectively. Additionally, nocturnal concentration differences became considerably more pronounced, rising from 19.2 to 34.2 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, at a rate of approximately 1.3 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup> yr<sup>−1</sup>.</p>
      <p id="d2e3131">The widening of hourly concentration differences between pollution days and the Ozone Season suggests that, although overall ozone production capabilities are declining, the rate of reduction on pollution days is comparatively slower. This indicates that pollution days retain a significant capacity for ozone production.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3137">Ozone pollution days and Ozone Season in Beijing from 2013 to 2023.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">2013</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">2015</oasis:entry>
         <oasis:entry colname="col5">2016</oasis:entry>
         <oasis:entry colname="col6">2017</oasis:entry>
         <oasis:entry colname="col7">2018</oasis:entry>
         <oasis:entry colname="col8">2019</oasis:entry>
         <oasis:entry colname="col9">2020</oasis:entry>
         <oasis:entry colname="col10">2021</oasis:entry>
         <oasis:entry colname="col11">2022</oasis:entry>
         <oasis:entry colname="col12">2023</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Ozone pollution days</oasis:entry>
         <oasis:entry colname="col2">53</oasis:entry>
         <oasis:entry colname="col3">73</oasis:entry>
         <oasis:entry colname="col4">69</oasis:entry>
         <oasis:entry colname="col5">69</oasis:entry>
         <oasis:entry colname="col6">60</oasis:entry>
         <oasis:entry colname="col7">67</oasis:entry>
         <oasis:entry colname="col8">74</oasis:entry>
         <oasis:entry colname="col9">54</oasis:entry>
         <oasis:entry colname="col10">24</oasis:entry>
         <oasis:entry colname="col11">52</oasis:entry>
         <oasis:entry colname="col12">53</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ozone Season</oasis:entry>
         <oasis:entry colname="col2">129</oasis:entry>
         <oasis:entry colname="col3">165</oasis:entry>
         <oasis:entry colname="col4">164</oasis:entry>
         <oasis:entry colname="col5">147</oasis:entry>
         <oasis:entry colname="col6">134</oasis:entry>
         <oasis:entry colname="col7">166</oasis:entry>
         <oasis:entry colname="col8">170</oasis:entry>
         <oasis:entry colname="col9">163</oasis:entry>
         <oasis:entry colname="col10">115</oasis:entry>
         <oasis:entry colname="col11">175</oasis:entry>
         <oasis:entry colname="col12">181</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e3303">Trends of NO<sub><italic>x</italic></sub>, VOCs Emissions and NO<sub>2</sub> and MDA8 Ozone Concentrations (<bold>a</bold> for warm season and <bold>b</bold> for cold season; solid line for the emissions and dashed lines for the concentrations; the VOCs and NO<sub><italic>x</italic></sub> emission ratio is shown on the second axis).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14559/2026/acp-26-14559-2026-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Analysis of Potential Impacts of Pollutant Emissions on Ozone Formation in Beijing</title>
      <p id="d2e3353">The Multi-resolution Emission Inventory for Climate and Air Pollution Research (MEIC), developed by Qiang Zhang and colleagues at Tsinghua University, is a high-resolution anthropogenic emission database for China (Li et al., 2017; Zheng et al., 2018, 2021). It provides long-term estimates of major air pollutants and greenhouse gases with spatial resolutions down to 1 km, covering approximately 800 anthropogenic source categories across power, industry, residential, and transportation sectors (Zheng et al., 2018, 2021). The inventory has been extensively validated through satellite observations and widely applied in atmospheric modeling and policy assessment studies across China (Zheng et al., 2018). Based on NO<sub><italic>x</italic></sub> and VOCs emission data from MEIC, coupled with annual mean NO<sub>2</sub> and MDA8 ozone observations in Beijing, we analyzed the influence of pollutant emissions on local ozone formation characteristics.</p>
      <p id="d2e3374">To maintain consistency with the preceding analysis, we separately calculated and examined the multi-year variations in pollutant emissions and ambient concentrations for the warm and cold seasons, with both expressed as arithmetic means for the respective periods. Figure 11a and b present the results for the warm and cold seasons, respectively.</p>
      <p id="d2e3377">Overall, NO<sub><italic>x</italic></sub> and VOCs emissions exhibited a declining trend over the study period in both seasons, consistent with the nationwide emission reductions driven by China's Clean Air Actions (Zheng et al., 2018). However, a notable rebound in warm-season emissions was observed in 2021. The VOCs <inline-formula><mml:math id="M196" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<sub><italic>x</italic></sub> emission ratio ranged from 1.6 to 2.2 during the warm season, showing marked increases in 2016 and 2020–2021, followed by a rapid decline during 2022–2023. In the cold season, this ratio ranged from 1.5 to 1.9 and remained relatively stable across most years, except for 2022. The long-term reductions in NO<sub><italic>x</italic></sub> and VOCs emissions reflect Beijing's sustained regulatory efforts targeting ozone precursors. The rapid decrease in the warm-season VOCs <inline-formula><mml:math id="M199" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<sub><italic>x</italic></sub> emission ratio since 2022 may be attributed to Beijing's intensified VOCs control measures and the coordinated mitigation of NO<sub><italic>x</italic></sub> and VOCs emissions from industrial and mobile sources.</p>
      <p id="d2e3440">Over the study period, ambient NO<sub>2</sub> concentrations in both seasons showed consistent downward trends, closely tracking the NO<sub><italic>x</italic></sub> emission trends (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> for the warm season and <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula> for the cold season). This strong coupling between NO<sub>2</sub> observations and NO<sub><italic>x</italic></sub> emissions corroborates the reliability of the MEIC inventory in capturing emission changes (Zheng et al., 2018). However, warm-season MDA8 ozone showed no significant correlation with either VOCs emissions or the VOCs <inline-formula><mml:math id="M208" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<sub><italic>x</italic></sub> ratio. In the cold season, MDA8 ozone exhibited a weak negative correlation with VOCs emissions (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.69</mml:mn></mml:mrow></mml:math></inline-formula>), but no clear relationship with the VOCs <inline-formula><mml:math id="M211" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<sub><italic>x</italic></sub> ratio. These contrasting behaviors likely arise because ambient NO<sub>2</sub> is closely linked to local NO<sub><italic>x</italic></sub> emissions through relatively linear chemistry, whereas ozone photochemistry is highly nonlinear and strongly modulated by meteorological conditions (Li et al., 2019; Lu et al., 2020; Wang et al., 2021). This decoupling between precursor emission reductions and ozone concentration trends underscores the dominant role of meteorological variability in driving interannual ozone fluctuations. Ozone pollution control is considerably more challenging than the mitigation of primary pollutants, necessitating region-specific, regime-targeted strategies that account for both precursor ratios and synoptic conditions (Qiu et al., 2025).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e3579">Beijing's stringent air pollution control measures over the study period have significantly improved air quality. However, the improvement in ozone concentration in Beijing has been less pronounced than that of PM<sub>2.5</sub>. This study examined the decadal evolution of surface ozone in Beijing from 2013 to 2023. We introduced the concept of the Ozone Season, defined as the continuous period during which the maximum daily 8-hour average (MDA8) ozone exceeds 160 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>. The analysis revealed that the onset of the Ozone Season exhibits a tendency to advance, while the overall season duration shows a lengthening trend after removing anomalous years. Low percentile ozone concentrations in Beijing have increased significantly, likely attributable to declining regional NO<sub><italic>x</italic></sub> emissions and reduced nighttime titration, consistent with findings from other urban areas globally (Chen et al., 2020; Sicard, 2021; Niu et al., 2022). In contrast, changes in high percentile concentrations were not statistically significant, underscoring the dominant influence of meteorological variability on extreme ozone events.</p>
      <p id="d2e3620">The duration of elevated ozone exposure, represented by the MDA8 exposure window, has increased in both the cold and warm seasons, with a more pronounced extension in the cold season. Notably, ozone exposure can persist into the evening hours during the warm season, highlighting the need for extended health protection measures beyond traditional daytime monitoring. Regarding diurnal variation patterns, peak ozone concentrations during the ozone season in Beijing have decreased, while trough concentrations have increased, resulting in a flattened diurnal amplitude. The rise in nocturnal ozone is associated with reduced NO<sub><italic>x</italic></sub> emissions and the consequent weakening of NO titration (He et al., 2020; Chen et al., 2020),  whereas the decline in peak concentrations reflects the benefits of coordinated VOC and NO<sub><italic>x</italic></sub> emission reduction policies. Correspondingly, both the ozone production rate and loss rate during the ozone season have declined, indicating a weakening of photochemical activity overall. The variation patterns on pollution days are consistent with those of the Ozone Season. However, the decline in peak values is slower and the rise in trough values is faster, suggesting that pollution days retain a stronger ozone production capacity relative to typical days.</p>
      <p id="d2e3641">The conclusions of this study indicate that the baseline ozone concentration in Beijing has risen over the study period, the timing of ozone pollution events has advanced and the city is experiencing a prolonged Ozone Season, consequently extending the potential health impact period. While trough concentrations are rising, peak concentrations are declining. Ozone production rates are decreasing, the onset of production is advancing, and loss rates are also diminishing, resulting in a flattened diurnal profile. In recent years, Beijing has witnessed a significant reduction in NO<sub><italic>x</italic></sub> concentrations, with NO<sub>2</sub> levels decreasing by 53.7 % in 2023 compared with 2013. This has weakened the nocturnal NO titration effect, contributing to the observed increase in trough and nocturnal ozone concentrations. The decline in peak concentrations may be attributed to stringent VOCs controls, with coordinated reductions in VOCs and NO<sub><italic>x</italic></sub> emissions leading to diminished daytime ozone production capacity. Accompanying the decrease in precursor emissions, significant shifts in ozone production control regimes across various regions and seasons in Beijing have also been observed.</p>
      <p id="d2e3671">The observed ozone trends reflect the combined effects of emission changes, meteorological variability, and regional transport. Our study does not quantitatively separate meteorological contributions from emission-driven changes. Further comprehensive analyses are needed to explore the underlying causes, which require the use of chemical transport models and controlled experiments to assess the relative contributions of emissions and climate changes.</p>
</sec>

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

      <p id="d2e3678">Hourly surface ozone observations are provided by the China National Environmental Monitoring Centre (CNEMC) and are available at: <uri>https://www.cnemc.cn/en/</uri> (last access: 6 February 2025). Anthropogenic emission data for Beijing during 2010–2023 were retrieved from the Multi-resolution Emission Inventory for Climate and Air Pollution Research (MEIC) database at: <uri>http://meicmodel.org.cn</uri> (last access: 27 May 2026).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3690">QL: Data Curation, Methodology, Software, Writing-Reviewing and Editing. XD: Conceptualization, Software, Writing-Reviewing and Editing. YG: Conceptualization, Data Curation and Editing. XS: Conceptualization, Supervision, Editing, Project administration. ZZ: Project administration. CZ: Topic Selection Guidance.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3696">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="d2e3702">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><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3708">This research has been supported by the National Key Research and Development Program of China (grant nos. 2022YFC3703400 and 2024YFC3713400).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3714">This paper was edited by Benjamin A Nault and reviewed by two anonymous referees.</p>
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