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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-26-15523-2026</article-id><title-group><article-title>Impacts of synoptic circulation types on nocturnal ozone increase in the North China Plain: meteorological drivers and physical mechanisms</article-title><alt-title>Impacts of synoptic circulation types on nocturnal ozone increase</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Huanpeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3 aff4">
          <name><surname>Fan</surname><given-names>Liya</given-names></name>
          <email>fanly@scut.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-0886-1369</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Deng</surname><given-names>Xuejiao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3 aff4">
          <name><surname>Huang</surname><given-names>Haomin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3 aff4">
          <name><surname>Ye</surname><given-names>Daiqi</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Environment and Energy, South China University of Technology, Guangzhou, 510006, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Engineering Laboratory for Volatile Organic Compounds Pollution Control Technology and Equipment, Guangzhou, 510006, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Guangdong Provincial Key Laboratory of Atmospheric Environment and Pollution Control,   Guangzhou, 510006, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Guangdong Provincial Engineering and Technology Research Centre for Environmental Risk Prevention  and Emergency Disposal, Guangzhou, 510006, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Key Laboratory of Regional Numerical Weather Prediction, Guangzhou Institute of Tropical and Marine Meteorology, China Meteorological Administration, Guangzhou, 510680, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Liya Fan (fanly@scut.edu.cn)</corresp></author-notes><pub-date><day>4</day><month>November</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>21</issue>
      <fpage>15523</fpage><lpage>15542</lpage>
      <history>
        <date date-type="received"><day>3</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>27</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>26</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Huanpeng Wang 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/26/15523/2026/acp-26-15523-2026.html">This article is available from https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e152">Nocturnal ozone (O<sub>3</sub>)  increase (NOI) has become common worldwide, raising the risk of O<sub>3</sub> pollution. While weather types serve as critical drivers of NOI, their specific dynamic influences remain poorly understood. Using ground observations and reanalysis datasets, this study identified the relationship between weather types and NOI days in a representative city in the North China Plain, and revealed the meteorological characteristics and physical mechanisms driving these events. During 2021–2023, 370–444 NOI days were observed, with the occurrence predominantly concentrated between 00:00 and 06:00 local time (69.53 %). After screening, a total of 171 representative NOI days were finally identified to characterize the overall occurrence of local NOI events. Based on the Lamb-Jenkinson method, the representative NOI days were classified into four primary weather types: A-type (57.89 %), S-type (19.88 %), WNE-type (14.04 %), and C-type (8.19 %). A-type was dominated by high-pressure anticyclones with calm conditions, whereas C-type was controlled by low-pressure systems and influenced by moist airflows. S-type was located in the transition zone between high and low pressure, influenced by southern geostrophic winds, and WNE-type was characterized by high-pressure systems with W-N-E geostrophic flows. Distinct mechanical triggers for NOI were further resolved for different types: A-type is dominated by high-pressure subsidence; C-type is driven by cold-pool downdrafts and convective motions; whereas both S-type and WNE-type are primarily controlled by synoptically-driven intense wind shear. This study elucidates the diverse dynamical pathways of weather-driven NOI, providing mechanistic insights for improving O<sub>3</sub> forecasting and mitigation strategies in urban environments.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Ministry of Ecology and Environment, The People’s Republic of China</funding-source>
<award-id>DQGG202133</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e191">Surface ozone (O<sub>3</sub>), a typical secondary pollutant, poses significant risks to human health due to its strong oxidative properties (Paoletti, 2009; Monks et al., 2009). Excessive O<sub>3</sub>  can lead to increased incidence and mortality rates of asthma, cardiovascular and respiratory diseases (Liu et al., 2023; Cheng et al., 2022; Gilardi et al., 2023; Zhao et al., 2022). Formed primarily through photochemical reactions of volatile organic compounds (VOCs) and nitrogen oxides (NO<sub><italic>x</italic></sub>) under sunlight (Li et al., 2022b, a; Wang et al., 2023a), O<sub>3</sub>  typically peaks during the daytime and declines at night due to deposition and NO<sub><italic>x</italic></sub> titration (Li et al., 2022b; Shen et al., 2024; He et al., 2021; Zhu et al., 2020). In China, despite successful reductions in particulate matter (PM) since the 2013 Air Pollution Prevention and Control Action Plan, O<sub>3</sub>  pollution has intensified, particularly in the North China Plain (NCP) (Shen et al., 2024; Xu et al., 2021; Dong et al., 2020; Song et al., 2022). Meanwhile, recent observations in the NCP have revealed an unexpected phenomenon of nocturnal O<sub>3</sub>  increase (NOI) (He et al., 2021; Zhu et al., 2020).</p>
      <p id="d2e258">NOI events, characterized by unexpected rises in nighttime O<sub>3</sub> concentrations (at least 10 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup> h<sup>−1</sup> (Zhu et al., 2020)), challenge the conventional understanding of O<sub>3</sub>  (Wang et al., 2023b; Xue et al., 2023; Chen et al., 2024b). Although a quantitative threshold of a 10 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup> hourly increase may appear modest during a clean night, the scientific and environmental significance of NOI episodes extends far beyond simple numerical detection. First, NOI events can occasionally result in a rapid surge in nighttime O<sub>3</sub>  levels surpassing 160 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup> (Wang et al., 2023c; Zhu et al., 2024), directly posing nocturnal threats to human health and plant stomatal uptake  (Chowdhury et al., 2022; Hoshika et al., 2019). More critically, even when absolute concentrations remain moderate, the horizontal or vertical transport of O<sub>3</sub>-rich air that typically triggers NOI significantly elevates the surface O<sub>3</sub>  baseline for the following morning. This higher initial baseline accelerates daytime accumulation, effectively exacerbating subsequent daytime photochemical smog (Wang et al., 2025). Furthermore, unexpected nighttime O<sub>3</sub>  increments fundamentally alter the nocturnal atmospheric oxidative capacity (AOC). The enhanced O<sub>3</sub>  facilitates dark reactions with nitrogen dioxide (NO<sub>2</sub>) to generate nitrate radicals (NO<sub>3</sub>) and dinitrogen pentoxide (N<sub>2</sub>O<sub>5</sub>), critical precursors for particulate nitrate and secondary organic aerosols (SOA), thereby linking NOI directly to regional fine particulate matter (PM<sub>2.5</sub>) pollution (Wang et al., 2023b). NOI events, usually driven by horizontal and vertical transport processes, are linked to meteorological phenomena such as sea-land winds (Nair et al., 2002), valley winds (Sánchez et al., 2005; Xue et al., 2023), low-level jets and convective storms (Zhu et al., 2020; Wu et al., 2023).</p>
      <p id="d2e450">Apart from emissions of O<sub>3</sub>  precursors, meteorological conditions play a crucial role in O<sub>3</sub>  formation (Dong et al., 2020). Weather conditions of high temperature, low humidity, and strong solar radiation are conducive to the photochemical generation of O<sub>3</sub>  (Liang et al., 2022; Chen et al., 2024b). The environment of low wind speed and high-pressure often leads to stagnant weather conditions, resulting in localized O<sub>3</sub>  accumulation (Liu et al., 2025). These weather conditions are largely determined by local synoptic circulation types (Xu et al., 2021; Song et al., 2022; Chen et al., 2024b; Li et al., 2023). For example, Shen et al. (2024) found that persistent O<sub>3</sub> pollution events over Wuxi from 2014 to 2021 were primarily associated with subtropical high-pressure and weak pressure systems, characterized by dry and hot local weather conditions. Ji et al. (2023) reported that high O<sub>3</sub> concentrations in southeastern coastal areas of China from 2015 to 2020 were mainly linked to high-pressure anticyclonic activity, which frequently occurs in spring. You et al. (2024) observed that O<sub>3</sub> pollution in the Pearl River Delta region during autumn from 2015 to 2021 was often influenced by the Siberian high-pressure system, with significant cross-regional transport from the northeast. However, while the synoptic and meteorological drivers of daytime photochemical O<sub>3</sub>  are well-established, their specific dynamic roles in governing nighttime NOI remain underexplored, particularly in rapidly urbanizing regions like the NCP.</p>
      <p id="d2e526">Located in the southern NCP, Xinxiang is bordered by the Taihang Mountains to the north and the Yellow River to the south (Fig. S1a in the Supplement). As a densely populated urban center, Xinxiang features a typical temperate continental monsoon climate, characterized by hot, humid summers and cold, dry winters. Furthermore, serving as a major industrial and transportation hub, the city experiences intense anthropogenic emissions. As shown in Fig. S1b, the primary precursors for O<sub>3</sub>  (i.e., NO<sub><italic>x</italic></sub> and VOCs) predominantly originate from industrial facilities (e.g., chemical and manufacturing plants) that are densely distributed across the surrounding suburban areas, and intense vehicular exhaust along a highly interconnected network of major transportation arteries traversing the region. These multi-source regional emissions enclose the urban core, exerting a profound influence on the atmospheric chemistry at the four urban background stations (Fig. S1c). This unique topography, combined with these high baseline emissions and specific climatological conditions, makes Xinxiang a critical case study for understanding NOI. This study aims to bridge the gap between synoptic-scale drivers and local NOI occurrences. By integrating three-year (2021–2023) high-frequency observations with the Lamb-Jenkinson method, we (1) investigate the temporal variability characteristics of NOI, (2) identify the dominant synoptic circulation types conducive to NOI, and (3) unravel the distinct physical mechanisms that govern NOI under different weather types. These insights not only enhance our understanding of the nocturnal O<sub>3</sub> budget but also provide a scientific basis for improving O<sub>3</sub>  forecasting and mitigation strategies in urban environments.</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 sources</title>
      <p id="d2e580">Hourly ground observation data including O<sub>3</sub>  concentration, temperature, relative humidity, wind speed, wind direction, and precipitation were obtained from four national monitoring stations in Xinxiang (named Development Zone (KF), Environmental Protection East Hospital (DY), Environmental Protection West Court (XY), and Municipal Party School (DX), respectively). It is important to note that all four stations are officially classified as urban evaluation sites located within the urban areas of Xinxiang. In this study, these four stations were deliberately selected due to their strong spatial representativeness over the urban core and their high data completeness. Because these stations share a consistent urban typology, they experience highly comparable baseline chemical environments (e.g., similar baseline nitrogen monoxide (NO) titration sinks and anthropogenic precursor availability). This spatial consistency is a crucial methodological design: it effectively minimizes random micro-scale chemical biases and isolated emission noise. By strictly controlling for these localized chemical heterogeneities, we ensure that the concurrent NOI events captured by this network genuinely reflect the overarching regional synoptic forcing and its subsequent, synchronized mechanical disruption of the local boundary layer, rather than random chemical artifacts. Detailed station information is provided in Fig. S1c. Sea level pressure (SLP) data and 17-layer vertical profiles (500–1000 hPa) of vorticity, wind speed (WS), wind direction, temperature (<inline-formula><mml:math id="M43" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), relative humidity (RH) and O<sub>3</sub>  concentration were acquired from the Modern-Era Retrospective Analysis for Research and Applications dataset (MERRA-2, Version 2, with a spatial resolution of 0.5<inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">°</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.625<sup><italic>°</italic></sup> and temporal resolutions of 1 h for surface data and 3 h for 3D vertical profiles) (<uri>https://disc.gsfc.nasa.gov/</uri>, last access: 3 December 2025). Specifically, the SLP data from MERRA-2 was used to perform the Lamb-Jenkinson synoptic weather classification. This dataset was constructed by NASA Global Modeling and Assimilation Office (GMAO) using the Goddard Earth Observing System (GEOS) assimilation model, and has been widely applied in weather typing studies worldwide (Zhang et al., 2022; Gelaro et al., 2017; Molod et al., 2015; Li et al., 2020). Additionally, specific humidity (850 hpa), planetary boundary layer height (PBLH), friction velocity (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), and convective available potential energy (CAPE) were derived from the ERA5 reanalysis dataset (<uri>https://www.ecmwf.int/en/forecasts/dataset/ecmwf-reanalysis-v5</uri>, last access: 3 December 2025) (with a spatial resolution of 0.25° <inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25° and an hourly temporal resolution) provided by the European Centre for Medium-Range Weather Forecasts (ECMWF), which offers superior boundary layer parameters (Hersbach et al., 2020; Bell et al., 2021). Throughout the subsequent calculations, MERRA-2 was consistently employed for the 1000 to 500 hPa vertical profiling, while ERA5 was dedicated to the specific 850 hPa humidity and boundary layer meteorological parameters (e.g., PBLH, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, CAPE). Notably, the 850 hPa pressure level (approximately 1500 m above ground level) was specifically selected for the spatial wind field analysis. Because this altitude generally resides just above the planetary boundary layer, the airflow is largely free from localized surface friction and complex topographic disturbances. Consequently, it serves as the most representative level for identifying mesoscale horizontal advection, low-level jets, and regional synoptic transport pathways that drive O<sub>3</sub> redistribution.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Definition of NOI events and NOI days</title>
      <p id="d2e685">Specifically, an NOI event is flagged when a single monitoring station records an hourly O<sub>3</sub>  concentration increment exceeding 10 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup> during nighttime (20:00–06:00 local time, LT; UTC<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>, Beijing Time) (He et al., 2021; Zhu et al., 2020). This absolute increment threshold is widely adopted in current literature (Zhu et al., 2024, 2020; He et al., 2022; Wang et al., 2025) because it acts as an indicator for detecting the abrupt physical intrusion of O<sub>3</sub>-rich air masses into local surface. While the absolute baseline concentrations and temporal trajectories of O<sub>3</sub>  are crucial for evaluating human health exposure and long-term air quality attainment, the primary objective of this study is to isolate the underlying synoptic and meteorological transport mechanisms. Regardless of the initial surface baseline, a sudden hourly surge of <inline-formula><mml:math id="M58" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup> effectively and consistently flags that sudden dynamic transport processes (whether via robust horizontal advection, massive vertical subsidence, or other regional intrusions) have completely overpowered the steady local nocturnal depletion (e.g., NO titration and dry deposition). Therefore, this increment-based metric provides the most robust and objective foundation for our dynamical and meteorological analysis.</p>
      <p id="d2e777">Considering the seasonal variation in local sunrise time, we excluded NOI events occurring after 05:00 LT from April to September, when the sunrise occurs relatively early. Since nighttime generally lasts from 20:00 to 06:00 LT the next day, it constitutes a continuous process. Therefore, a day is classified as an NOI day if such events occur from 20:00 to 06:00 LT the next day (excluding April to September, for which the window is 20:00 to 05:00 LT). By strictly confining the concept of NOI days to this continuous nocturnal window, we ensure that our dynamic analysis remains completely isolated from daytime photochemical interference. Furthermore, to accurately characterize the specific atmospheric background driving these nighttime intrusions, it is important to note that the subsequent calculations and classifications are not based on daily average results. Instead, we strictly used the nighttime average fields (i.e., averaged over the continuous nocturnal window) corresponding to the identified NOI events. This temporal matching effectively prevented the transient nocturnal dynamic signals from being diluted by daytime meteorological variations. To further investigate the temporal occurrence characteristics within this continuous night, we subsequently categorized these NOI days into three descriptive types. Rather than using arbitrary mathematical intervals, the specific timeframes for these types were chosen to perfectly align with the distinct physical evolution phases of the nocturnal boundary layer: (1) Early-night NOI (EN): The event occurs only between 20:00 and 23:00 LT, corresponding to the transitional boundary layer phase; (2) Late-night NOI (LN): The event occurs only between 00:00 and 06:00 LT, corresponding to the highly stable surface inversion phase; (3) Whole-night NOI (WN): The event occurs across both periods, persisting continuously through the night.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Lamb-Jenkinson synoptic circulation classification approach</title>
      <p id="d2e788">The Lamb-Jenkinson synoptic circulation classification approach serves as a precise and efficient meteorological classification method, which has been widely used in many studies (Zhu et al., 2007; Duan et al., 2020; Wu et al., 2020; Wang et al., 2023d). In this study, 16 grid points were selected around Xinxiang in accordance with Lamb-Jenkinson approach. The grid points cover the region from 25  to 45° N and 100  to 130° E, with a grid spacing of 5° in latitude and 10° in longitude (Fig. S2). To accurately capture the synoptic background driving NOI events and to eliminate daytime boundary layer convective perturbations, the classification was performed using strictly nocturnal SLP fields rather than daily averages. Furthermore, a seasonally-adjusted nocturnal window was applied based on local sunrise times, consistent with the nocturnal time window adopted for NOI. Based on SLP data from the selected grid points, 6 circulation indices were calculated (Zhou et al., 2023; You et al., 2024; Liu et al., 2019). The corresponding calculation formulas and circulation indices are introduced as follows:

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M61" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">12</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">13</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">9</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">13</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">12</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>v</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow><mml:mrow><mml:mi>sin⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">15</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">16</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">9</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow><mml:mrow><mml:mi>sin⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">8</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">9</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mi>cos⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">6</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">14</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">5</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">13</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">12</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>P</mml:mi><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo><mml:mi>P</mml:mi><mml:mn mathvariant="normal">11</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>arctan⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>arctan⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">180</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M62" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> represent the zonal and meridional components of the geostrophic wind, respectively. <inline-formula><mml:math id="M64" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is the geostrophic wind. <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the meridional gradient of <inline-formula><mml:math id="M67" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> and the zonal gradient of <inline-formula><mml:math id="M68" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, respectively. <inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> is the geostrophic vorticity. <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> are SLP at 16 grid points. <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represent the latitude of the grid points of P8, P12, and P4, respectively. When <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the geostrophic wind direction. When <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the geostrophic wind direction.</p>
      <p id="d2e1435">According to each circulation index and geostrophic wind direction, 27 weather types were classified (Table 1) (You et al., 2024; Liu et al., 2019).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1441">Lamb-Jenkinson synoptic circulation classification.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>|</mml:mo><mml:mo>≤</mml:mo><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>|</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>|</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>|</mml:mo><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

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

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

         <oasis:entry colname="col1">(directional types)</oasis:entry>

         <oasis:entry colname="col2">(hybrid types)</oasis:entry>

         <oasis:entry colname="col3">(vorticity types)</oasis:entry>

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

         <oasis:entry colname="col1">N (north)</oasis:entry>

         <oasis:entry colname="col2">AN (anticyclone + north)</oasis:entry>

         <oasis:entry colname="col3">A (anticyclone)</oasis:entry>

         <oasis:entry colname="col4">UD (undefined)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">E (east)</oasis:entry>

         <oasis:entry colname="col2">AE (anticyclone <inline-formula><mml:math id="M82" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> east)</oasis:entry>

         <oasis:entry colname="col3">C (cyclone)</oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">S (south)</oasis:entry>

         <oasis:entry colname="col2">AS (anticyclone <inline-formula><mml:math id="M83" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> south)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">W (west)</oasis:entry>

         <oasis:entry colname="col2">AW (anticyclone <inline-formula><mml:math id="M84" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> west)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">NE (northeast)</oasis:entry>

         <oasis:entry colname="col2">ANE (anticyclone <inline-formula><mml:math id="M85" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> northeast)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SE (southeast)</oasis:entry>

         <oasis:entry colname="col2">ASE (anticyclone <inline-formula><mml:math id="M86" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> southeast)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SW (southwest)</oasis:entry>

         <oasis:entry colname="col2">ASW (anticyclone <inline-formula><mml:math id="M87" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> southwest)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">NW (northwest)</oasis:entry>

         <oasis:entry colname="col2">ANW (anticyclone <inline-formula><mml:math id="M88" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> northwest)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CN (cyclone <inline-formula><mml:math id="M89" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> north)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CE (cyclone <inline-formula><mml:math id="M90" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> east)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CS (cyclone <inline-formula><mml:math id="M91" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> south)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CW (cyclone <inline-formula><mml:math id="M92" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> west)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CNE (cyclone <inline-formula><mml:math id="M93" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> northeast)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CSE (cyclone <inline-formula><mml:math id="M94" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> southeast)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CSW (cyclone <inline-formula><mml:math id="M95" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> southwest)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CNW (cyclone <inline-formula><mml:math id="M96" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> northwest)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>HYSPLIT and CWT</title>
      <p id="d2e1859">The hybrid single particle lagrangian integrated trajectory (HYSPLIT) is a common model for investigating meteorological transmission channels (Chen et al., 2024a; Cheng et al., 2024; Shi et al., 2024; Stein et al., 2015). It can efficiently and accurately determine the transport trajectories of different pollutants, classify and aggregate the backward trajectories during the study period through the Euler clustering method, and output air mass trajectories with different proportions. In this study, the HYSPLIT model (run via the TrajStat plugin/MeteoInfo) was used to identify backward trajectories for Xinxiang during the period from 2021 to 2023. The model inputs hourly meteorological data from the Global Data Assimilation System with a spatial resolution of 1° <inline-formula><mml:math id="M97" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° (<uri>ftp://arlftp.arlhq.noaa.gov/pub/archives/gdas1</uri>, last access: 3 December 2025). Taking the starting point (central location of Xinxiang: 35.30° N, 113.88° E) as a reference, 48 h backward trajectories terminating at 100 m above ground level were calculated at 1 h intervals for all identified representative NOI days. Using these air mass trajectories, we mapped O<sub>3</sub>  concentrations to specific geographic grids to apply Concentration-Weighted Trajectory (CWT) analysis. Briefly, the CWT approach calculates the weighted average concentration of air mass trajectories passing through each 1° <inline-formula><mml:math id="M99" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° grid cell, thereby quantitatively identifying the relative contributions of potential upwind source regions to local O<sub>3</sub>  spikes (Shi et al., 2024; Wang et al., 2024). To mitigate statistical uncertainties from grid cells with sparse trajectory endpoints, an empirical weighting function <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was incorporated. The complete mathematical formulations and calculation parameters for the CWT methodology are detailed in Text S1 in the Supplement.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Characteristics of NOI days</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Temporal variation of NOI days and NOI occurrence time</title>
      <p id="d2e1935">Figure 1 illustrates the monthly variation of NOI days at national monitoring stations in Xinxiang from 2021 to 2023. The DX station recorded the highest cumulative NOI days (444 d), while KF exhibited the lowest frequency (370 d). Additionally, all stations showed similar monthly variation trends: NOI days progressively increased from January to March, peaking in March (42–47 d), and then maintained high-level fluctuations from April to September. Subsequently, the frequency declines sharply from October to December, reaching annual minima (15–26 d). This indicated that warm seasons favor NOI occurrence. However, it is crucial to emphasize that a high regional O<sub>3</sub>  background does not trivially dictate the occurrence of NOI. While the warm season provides a highly concentrated aloft reservoir, the actual occurrence of an NOI event (which must vigorously overpower the intense local nocturnal NO titration typical of urban environments) strictly requires the concurrent presence of specific dynamic meteorological triggers.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1949">Monthly variation of NOI days at national monitoring stations in Xinxiang, 2021–2023 (overlap: representative NOI days with completely coincident dates across the four stations).</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f01.png"/>

          </fig>

      <p id="d2e1958">Figure S3 further demonstrates monthly variations of NOI occurrence time. LN dominated with 69.53 % occurrence frequency across all months, followed by EN (21.69 %) and WN (8.78 %). This indicated that NOI events in Xinxiang tended to occur from 00:00 to 06:00 LT compared with those occurring between 20:00 and 23:00 LT. From a boundary-layer dynamics perspective, the absolute dominance of post-midnight events (LN) indicates that most NOI occurs when the nocturnal surface inversion is fully established and highly stable. Consequently, triggering these events requires substantial active mechanical forcing (e.g., intense wind shear or subsidence) capable of breaking this deep stability, which directly motivates the detailed synoptic and dynamical mechanism analysis in Sect. 3.3 and 3.4.</p>
      <p id="d2e1962">Furthermore, LN generally increased from March to September (68.24 %–80.60 %) compared with other months (60.54 %–67.50 %), while EN exhibited an opposite trend (Fig. S3). This reflected that warm seasons, characterized by richer daytime O<sub>3</sub>  accumulation in the residual layer, would intensify the occurrence frequency of LN.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Impact of NOI occurrence time on O<sub>3</sub>  levels</title>
      <p id="d2e1992">Given the significant temporal variation characteristics of NOI days, different occurrence times may exert distinct impacts on the overall O<sub>3</sub>  diurnal cycle. Therefore, we further analyzed the O<sub>3</sub>  diurnal variations on NOI days categorized by their occurrence time across different seasons (Fig. 2). Notably, in winter, compared with EN, LN exhibited higher initial O<sub>3</sub>  concentrations at the onset (around 18:00 LT), but maintained slightly lower levels throughout the late night and morning hours. This dampened afternoon peak is likely a direct consequence of this lower morning baseline. In winter, when daytime photochemical production is inherently limited, the maximum absolute O<sub>3</sub>  concentration heavily depends on the morning carry-over levels. Consequently, starting from a lower morning baseline naturally constrains the subsequent afternoon peak. Unlike the typical continuous depletion observed on non-NOI event nights, WN frequently exhibited anomalous night peaks or maintained near-stable, elevated concentrations throughout the dark hours. These features directly reflect the continuous and intense nature of the dynamical intrusions during WN periods, which effectively offset the local chemical depletion (NO titration). In contrast, in spring and summer, LN consistently showed both higher nocturnal/morning O<sub>3</sub>  concentrations and higher afternoon peaks than EN, indicating a generally more intense overall O<sub>3</sub>  pollution burden associated with LN events. Furthermore, except for autumn where EN and WN exhibited comparable O<sub>3</sub>  levels, WN generally displayed higher O<sub>3</sub>  concentrations than EN in other seasons. This indicates that EN exhibited the lowest overall O<sub>3</sub>  levels among the three categories, implying that the meteorological conditions triggering EN are relatively the least conducive to overall O<sub>3</sub>  accumulation. Overall, the total average O<sub>3</sub>  concentrations followed the order: WN (78.02 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>) <inline-formula><mml:math id="M118" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> LN (77.96 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>) <inline-formula><mml:math id="M121" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> EN (72.42 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>). The results that WN and LN exhibited comparably high overall levels underscores that prolonged or late-night dynamical intrusions pose a more severe O<sub>3</sub>  pollution burden. Moreover, the robustness of these diurnal differences is visually confirmed by the shaded error bands (representing <inline-formula><mml:math id="M125" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 standard error of the mean). We hypothesize that these temporal discrepancies are intrinsically linked to the distinct evolutionary characteristics of specific weather types, which serve as the primary physical triggers modulating both the timing and varying intensities of NOI events.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2195">O<sub>3</sub>  diurnal variations of NOI days under different NOI occurrence time in different seasons. The solid colored lines represent the composite mean O<sub>3</sub>  concentrations for LN (red), EN (blue), and WN (grey). The shaded bands denote the bounds of <inline-formula><mml:math id="M128" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 standard error of the mean (SEM), visualizing the statistical variance. The number of occurrences (<inline-formula><mml:math id="M129" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) for each specific category is indicated in the legend.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f02.png"/>

          </fig>

      <p id="d2e2236">Given the discrepancy in the occurrence dates of NOI days in different stations in Xinxiang, standardizing the dates of local NOI days is essential to investigate the weather type characteristics of NOI days. We established unified occurrence dates through cross-analysis of multi-station data (Fig. 3), and found that KF, XY, DX, and DY had 171 NOI days occurring on the same days during 2021–2023 in Xinxiang. Thus, these 171 NOI days were selected as representatives to characterize the overall occurrence of local NOI days. It is worth noting that non-overlapping NOI events frequently occur among the different stations, highlighting the inevitable influence of random localized emission noise and uncoordinated micro-environmental fluctuations. To rigorously isolate the overarching synoptic-scale meteorological drivers from these random local chemical/emission noises, this study specifically focused on representative events where NOI occurred simultaneously across all stations. Rather than neglecting local boundary-layer processes, these simultaneous occurrences serve as robust indicators of powerful regional episodes. They demonstrate that the large-scale synoptic forcing was sufficiently intense to synchronize the local boundary-layer dynamics (e.g., vertical wind shear and turbulent mixing) across the entire urban region. This rigorous screening ensures that the localized physical mechanisms evaluated in subsequent sections are systematically driven by macro-weather types, rather than coincidental local perturbations. Furthermore, the monthly variation of these representative regional events (indicated by the “overlap” dotted line in Fig. 1) consistently matches the seasonal trends observed at individual stations (e.g., distinct peaks in March and September, and dips in January and December). This indicated that the representative NOI days could effectively reflect the occurrence of NOI days in Xinxiang and were scientifically valid.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e2242">Overlapping occurrences of NOI days at national monitoring stations in Xinxiang, 2021–2023. The four-digit binary codes in parentheses indicate the specific occurrence status of NOI events across the four stations (in the order of DX, XY, DY, and KF). A digit of 1 represents the occurrence of the event, and 0 represents non-occurrence (e.g., (1111) denotes cooccurrence at all four stations, while (1000) denotes occurrence only at the DX station).</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f03.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Weather types of representative NOI days</title>
      <p id="d2e2260">To ensure the utmost methodological clarity, the analytical thread connecting the aforementioned steps is explicitly outlined as follows: First, local NOI events were identified at individual stations based on the absolute increment metric. Second, through the cross-analysis described above, exactly 171 simultaneous regional NOI days were extracted to filter out localized noise. Finally, the subsequent meteorological characterizations and synoptic classifications were strictly executed based exclusively on these 171 representative days.</p>
      <p id="d2e2263">The Lamb-Jenkinson synoptic circulation classification method was utilized to categorize weather types for representative NOI days. The categorization results are presented in Table S1 in the Supplement (which sums to exactly 171 d). 20 weather types were identified from 171 representative NOI days, including 2 vorticity types (named A and C), 8 directional types (including S, SE, SW, W, NW, N, NE and E) and 10 hybrid types (named AE, ANE, AS, ASE, ASW, CN, CS, CSE, CSW and CW). Among them, vorticity types accounted for 49.12 % of the total, with anticyclonic type A alone contributing 77 d. Directional and hybrid types accounted for 33.92 % and 16.96 %, respectively. Figure S4 displays the mean SLP of representative NOI days under different weather types from 2021 to 2023. It can be seen that the position of high- and low-pressure centers exhibit certain discrepancies among different weather types. Furthermore, to explicitly validate that this SLP-based classification accurately captures airflow characteristics in lower troposphere, Fig. S5 illustrates the spatial distributions of mean SLP overlaid with 850 hPa wind fields for the 20 identified weather types. The spatial patterns demonstrate a high degree of physical consistency, wherein the surface pressure gradients align with the 850 hPa wind field. This confirms that the SLP-based Lamb-Jenkinson method is highly robust and effectively represents synoptic circulation background of upper boundary-layer.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2268">Proportion of four primary weather types and days of each weather type during representative NOI days in Xinxiang, 2021–2023.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f04.png"/>

        </fig>

      <p id="d2e2278">Liu et al. (2019) noted that northern China is frequently affected by large-scale weather systems such as the Yellow River cyclone, the Siberian high, and the Western Pacific subtropical high. These interactions induce frequent shifts in weather classifications and the seasonal migration of high- and low-pressure centers, resulting in distinct monthly meteorological patterns. According to the position of central system and different meteorological elements of each classification, the 20 weather types were classified into four primary weather types: (1) A-type (weather types related with high-pressure), including A, AE, ANE, AS, ASE and ASW; (2) C-type (weather types related with low pressure), including C, CN, CS, CSE, CSW and CW; (3) S-type (geostrophic wind direction to the south), including S, SE and SW; (4) WNE-type (geostrophic wind direction between west-north-east), including W, NW, N, NE and E. Figure 4 illustrates the proportion of four primary weather types and the days of each weather type. As shown in Fig. 4, representative NOI days predominantly occurred under A-type weather types (99 d, 57.89 % of the total), followed by S-type (34 d, 19.88 %), WNE-type (24 d, 14.04 %), and C-type (14 d, 8.19 %). These findings indicated that the meteorological conditions of A-type were most conducive to the occurrence of NOI days.</p>
      <p id="d2e2281">Notably, to extract the overarching dynamical mechanisms and reduce the statistical noise of the 20 specific Lamb-Jenkinson weather types, we quantitatively clustered them into four major archetypes: Anticyclonic (A-type), Cyclonic (C-type), Southerly (S-type), and West-North-East (WNE-type). Rather than subjective grouping, this clustering was rigorously based on their shared physical topology: specifically, the polarity of SLP anomalies, geostrophic vorticity, and the primary azimuth of geostrophic wind vectors. The detailed quantitative criteria for each of the four weather types are provided in Text S2. To further validate the physical distinctness of this categorization, composite analysis of the synoptic fields and Analysis of Variance (ANOVA) on localized boundary layer variables were conducted.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2286">Spatial distribution of composite mean SLP and 850 hPa wind fields under different weather categories: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type (asterisk indicates the location of Xinxiang; “H” and “L” stand for high-pressure and low-pressure, respectively).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f05.jpg"/>

        </fig>

      <p id="d2e2307">To verify that the four grouped weather types possess fundamentally distinct atmospheric backgrounds, we analyzed their composite mean SLP and 850 hPa wind fields (Fig. 5). The spatial distributions unequivocally demonstrate distinct synoptic forcings: A-type is dominated by a strong, uniform high-pressure center over the study region (Fig. 5a); C-type is characterized by cyclonic curvature and low-pressure system (Fig. 5b); S-type is driven by intense southerly advection between a western low and an eastern high (Fig. 5c); and WNE-type features strong northeasterly flows driven by a massive continental high to the northwest (Fig. 5d). Furthermore, to statistically confirm that these different synoptic structures translate into distinctly different local thermodynamic environments, a One-Way ANOVA was performed on the nocturnal anomalies of key meteorological variables (<inline-formula><mml:math id="M130" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, RH, WS, PBLH and <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) across the four groups. The resulting statistical distributions and data spreads are visually compared in Fig. 6, while the precise quantitative parameters and significance test results are detailed in Table S2. To strictly isolate the meteorological perturbations driven by synoptic systems and to eliminate the influence of seasonal and interannual backgrounds, the nocturnal anomalies (<inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>) for key meteorological variables were calculated as the difference between the NOI days' specific nocturnal average and the corresponding monthly nocturnal mean. The results show that the inter-group differences are highly statistically significant (all <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.01), definitively proving that our quantitative classification objectively separates fundamentally different boundary layer environments.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2349">One-Way ANOVA results for key meteorological variables (<inline-formula><mml:math id="M134" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, RH, WS, PBLH and <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) of different synoptic categories. In each boxplot, the central black solid line indicates the median. The horizontal red dashed line denotes the zero-anomaly reference.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Meteorological characteristics of primary weather types</title>
      <p id="d2e2384">As established in Sect. 3.1, the vast majority of NOI events in Xinxiang occur during the LN period. During this phase, the nocturnal boundary layer is characterized by a fully established surface inversion, creating a highly stable thermodynamic environment. To trigger downward O<sub>3</sub>  transport under such extreme stability, localized residual turbulence is entirely insufficient. Instead, it requires massive, active mechanical forcing capable of physically breaking the inversion layer. Because such powerful mechanical triggers are fundamentally governed by macro-scale weather systems, identifying the specific synoptic circulations is the critical next step to unravel the forcing mechanisms behind these NOI events.</p>
      <p id="d2e2396">It should be noted that while seasonal variations significantly influence the daytime photochemical generation and absolute background concentrations of O<sub>3</sub>, the nocturnal occurrence of NOI is predominantly driven by physical transport. As validated by the seasonal comparison (Fig. S6 and Text S3), while the absolute intensity of meteorological variables naturally fluctuates across seasons, the fundamental dynamical frameworks for a given weather type (e.g., the general orientation of horizontal pressure gradients and patterns of vertical motions) maintain functionally comparable mechanical triggers. Therefore, rather than focusing on seasonal background variations, our study focuses on elucidating these primary, synoptically-driven local meteorological drivers that trigger NOI.</p>
      <p id="d2e2408">The representative NOI days in Xinxiang were classified into four weather types (A-type, C-type, S-type, and WNE-type), with each exhibiting distinct meteorological features. Figure 7 illustrates the spatial distributions of 850 hPa wind fields under four weather types. Under A-type, Xinxiang was located near a high-pressure center, with an outward-rotating wind field at 850 hPa (Figs. 5a and 7a), indicating the presence of an anticyclonic high-pressure system. Driven by this synoptic forcing, Xinxiang experienced extremely calm conditions. As explicitly demonstrated by the nocturnal anomalies in Fig. 6 and Table S2, A-type was characterized by negative anomalies in wind speed (mean: <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>WS <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.10 m s<sup>−1</sup>) and friction velocity (mean: <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.01 m s<sup>−1</sup>), alongside a strongly constrained boundary layer (mean: <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>PBLH <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>.56 m, representing negligible expansion). This indicates that the overriding high-pressure system creates a highly stable environment. The explicit intrusion process of O<sub>3</sub>  under this subsidence will be further verified in Sect. 3.4.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2503">Spatial distribution of wind field at 850 hPa under different weather types: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type (asterisk indicates the location of Xinxiang).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f07.jpg"/>

        </fig>

      <p id="d2e2524">Under C-type, Xinxiang was dominated by low-pressure systems (Fig. 5b). At 850 hPa, a strong airflow originating near the coastal region of Guangxi Province moved continuously northeastward (Fig. 7b). This airflow not only moved at a high speed, but also likely carried substantial moisture, significantly enhancing atmospheric instability in its trajectory and surrounding regions (including Xinxiang), intensifying convective activity, and increasing the risk of heavy rainfall. Combined with the water vapor flux and divergence fields at 850 hPa, we find that the intense southwest warm-wet moisture transport belt under C-type is extremely prominent. Significant moisture convergence is observed along the entire path of this belt (including Xinxiang) (Fig. S7). Notably, the local meteorological anomalies perfectly capture this advection, with C-type uniquely coinciding with distinct positive anomalies in temperature (mean: <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>.60 °C) and the highest relative humidity anomaly among all weather types (mean: <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>RH <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>.08 %). This localized warm and highly humid environment, dynamically coupled with a cyclonic low-pressure background, significantly amplifies atmospheric thermodynamic instability, highly favoring the development of regional convection and precipitation. Consequently, rather than uniform large-scale subsidence, NOI under C-type is primarily triggered by convective motions and the subsequent development of cold pools.</p>
      <p id="d2e2558">S-type represents a dynamic environment driven by distinct horizontal advection. Under S-type, Xinxiang was situated in a tight pressure gradient, typically between a western low and an eastern high (Figs. 5c and 7c). Driven by this synoptic setup, continuous southerly geostrophic winds prevailed over the region. As detailed in Table S2, S-type produced significant positive anomalies in local wind speed (mean: <inline-formula><mml:math id="M149" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>WS <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.54 m s<sup>−1</sup>) and friction velocity (mean: <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.06 m s<sup>−1</sup>). These specific values rigorously demonstrate that beyond facilitating regional horizontal transport (which will be explicitly traced in Sect. 3.4.1), the southerly advection directly generates substantial localized mechanical turbulence at the surface, physically lifting the nocturnal boundary layer (mean: <inline-formula><mml:math id="M154" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>PBLH <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">102</mml:mn></mml:mrow></mml:math></inline-formula>.41 m). This localized mechanical shear serves as the direct trigger for breaking nocturnal stability, subsequently entraining O<sub>3</sub>-rich air from the elevated residual layer down to the surface and triggering NOI events.</p>
      <p id="d2e2646">Although Xinxiang often featured a massive continental high-pressure system (e.g., the Siberian High) to the northwest under WNE-type (Fig. 5d), their local dynamics are fundamentally different from the pure subsidence of A-type. At 850 hPa, the region was obviously influenced by a northwestern airflow (Fig. 7d), consistent with the geostrophic wind characteristics of WNE-type. Unlike A-type, where the study area sits calmly at the high-pressure center, under WNE-type, Xinxiang was located at the densely packed periphery of the advancing high. Consequently, the macroscopic forcing shifts to intense horizontal pressure gradients (Figs. 5d and 7d). This kinematic distinction is perfectly captured by the localized surface anomalies (Table S2). WNE-type exhibited the most extreme positive anomalies among all categories, with local wind speed (mean: <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>WS <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.74 m s<sup>−1</sup>) and friction velocity (mean: <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.11 m s<sup>−1</sup>) far exceeding other types. Driven by this intense horizontal advection and wind shear, the nocturnal boundary layer experienced massive mechanical lifting (mean: <inline-formula><mml:math id="M162" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>PBLH <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">156</mml:mn></mml:mrow></mml:math></inline-formula>.22 m). Furthermore, this intense mechanical mixing effectively breaks the nocturnal surface inversion, bringing slightly warmer air from aloft downward (detailed mechanism analysis is presented in Sect. 3.4.2). This vigorous downward mixing of the elevated residual layer shares conceptual similarities with the nocturnal fumigation-like processes documented in other literature (Wu et al., 2023; He et al., 2022), which also explains the observed positive temperature anomaly (mean: <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.77 °C). Therefore, despite the high-pressure background, it is this extraordinarily strong localized shear and turbulent mixing, that serves as the primary mechanical driver forcing O<sub>3</sub>  downward to the surface during WNE-type. Combined with rapid dispersion of local NO emissions under high winds that greatly mitigates nighttime titration, vigorous vertical entrainment counteracts both horizontal diffusion and titration loss of O<sub>3</sub>, and ultimately causes a net O<sub>3</sub>  surge.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Physical mechanisms of NOI days under different weather types</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>3D regional transport and synoptic subsidence</title>
      <p id="d2e2781">To explore the triggering factors for the occurrence of NOI days under the four weather types, we investigated the 3D regional backward trajectories and CWT spatial distributions (Figs. 8, 9 and S8). While horizontal advection determines the regional source regions, the vertical profiles of these trajectories provide crucial Lagrangian evidence of downward transport.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2786">Clustered backward trajectories under different weather types: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type. The base maps were created using publicly available geographic data from Natural Earth (<uri>https://www.naturalearthdata.com/</uri>, last access: 29 October 2026). </p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f08.jpg"/>

          </fig>

      <p id="d2e2810">Under A-type, air masses predominantly originated from the north (58.69 %) (Fig. 8a). Crucially, the 3D altitude profiles (Fig. S8a–b) reveal that these dominant clusters originated from significantly high altitudes (<inline-formula><mml:math id="M168" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 800 hPa) 48 h prior, exhibiting continuous and massive subsidence as they approached Xinxiang. When these subsiding trajectories passed over the high O<sub>3</sub>  potential source areas in northern Henan and western Shandong (CWT: 90–100 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>; Fig. 9a), regions well-documented for their heavy industrial facilities and intense precursor emissions (Lu et al., 2019; Li et al., 2019). During the daytime, these abundant anthropogenic precursors fuel intense photochemical O<sub>3</sub>  production over these areas. By nightfall, this locally generated O<sub>3</sub>  is preserved aloft within the residual layer. Consequently, when the large-scale subsiding trajectories passed over these regions during nocturnal hours, they directly entrained this O<sub>3</sub>-rich air from the residual layer downwards into the surface of our study domain, rather than merely transporting unreacted precursors.</p>
      <p id="d2e2880">Under C-type, the airflow exhibited shorter trajectories and slower movement. Notably, the trajectory profile (Fig. S8c–d) captures an extremely dramatic vertical intrusion, where a specific cluster (21.43 %) plunged from the lower free troposphere (<inline-formula><mml:math id="M175" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 700 hPa, <inline-formula><mml:math id="M176" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2000 m) down to the boundary layer. This intense vertical transport, coupled with high CWT values (<inline-formula><mml:math id="M177" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 80 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>) over central/northern Henan (Fig. 9b), highlights the profound impact of deep vertical exchange driven by the cyclonic system.</p>
      <p id="d2e2926">Influenced by strong geostrophic winds under S-type, southwest airflow pathways dominated (Fig. 8c). The CWT analysis (Fig. 9c) identified a vast high-value source region (WCWT <inline-formula><mml:math id="M180" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>) encompassing the Central China urban agglomeration to the south, a vast region where intense anthropogenic NO<sub><italic>x</italic></sub> and VOCs emissions continuously fuel massive daytime photochemical O<sub>3</sub>  accumulation. The vertical profiles (Fig. S8e–f) confirm that a major portion of this southerly advection (<inline-formula><mml:math id="M185" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 45.29 %) subsided from the upper boundary layer (<inline-formula><mml:math id="M186" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 880 hPa). Furthermore, as suggested by the multiple trajectory origins, additional source regions indeed contributed via subsidence. The second-largest cluster (<inline-formula><mml:math id="M187" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 38.24 %) also exhibited subsiding characteristics, descending from <inline-formula><mml:math id="M188" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 910 hPa (originating from the northeast). Meanwhile, the remaining cluster (<inline-formula><mml:math id="M189" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 16.47 %) represented lower-altitude horizontal transport originating from the southeast. This comprehensively demonstrates that NOI events under S-type are a superimposed result of multi-source origins, where massive downward subsidence from multiple altitudes couples with regional horizontal advection to collectively elevate the nocturnal O<sub>3</sub>  burden.</p>
      <p id="d2e3021">Finally, under WNE-type, the horizontal airflow was mainly concentrated on the northwest direction, accounting for 61.67 % (Fig. 8d). The corresponding 3D altitude profiles (Fig. S8g–h) still capture a clear downward transport signal, revealing that this primary cluster originated from the upper residual layer (<inline-formula><mml:math id="M191" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 800 hPa) 48 h prior and subsided continuously. As these subsiding air masses passed over the potential source regions localized in central and northern Henan (CWT: 70–80 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<sup>−3</sup>; Fig. 9d), they facilitated the downward entrainment and transport of O<sub>3</sub>  to Xinxiang.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3064">Concentration weighted trajectory (CWT) analysis under different weather types: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type. The base maps were created using publicly available geographic data from Natural Earth (<uri>https://www.naturalearthdata.com/</uri>, last access: 29 October 2026).</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f09.jpg"/>

          </fig>

      <p id="d2e3088">In summary, the 3D trajectory analysis demonstrates that the nocturnal O<sub>3</sub>  spikes in Xinxiang are not merely driven by surface-level horizontal advection. Across all four weather types, the surface-arriving air masses systematically originated from the upper boundary layer or lower free troposphere, providing undeniable Lagrangian evidence of continuous downward O<sub>3</sub>  transport from high-altitude reservoirs.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Vertical mixing and mechanical triggers</title>
      <p id="d2e3117">As established in Sect. 3.4.1, 3D trajectories confirm the synoptic delivery of air masses from high altitudes. However, to translate these high-altitude arrivals into surface NOI events, specific vertical transport mechanisms are required. To validate this process, we analyzed the vertical profiles of pressure velocity (Fig. 10), thermodynamic stability (Fig. S9), O<sub>3</sub>  concentrations (Fig. 12), and surface turbulence metrics (Fig. 11).</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e3131">Vertical profiles of pressure velocity under different weather types: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type (red rectangles indicate the region of Xinxiang). In terms of vertical pressure velocity, negative values correspond to upward motion, while positive values indicate subsidence.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f10.png"/>

          </fig>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e3154">Diurnal variations of planetary boundary layer height (PBLH) and friction velocity (<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in Xinxiang under four weather types (green dashed lines rectangles indicate the fluctuations of PBLH or <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> during the night).</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f11.png"/>

          </fig>

      <p id="d2e3186">The vertical O<sub>3</sub>  profiles (Fig. 12) first confirm the fundamental prerequisite for NOI across all weather types: following sunset, a distinct nocturnal residual layer (RL) forms, clearly indicated by the high O<sub>3</sub>  concentrations. Shielded from surface NO titration and dry deposition, this RL successfully retains high daytime O<sub>3</sub>, serving as the localized O<sub>3</sub>  reservoir waiting to be tapped by downward forcing.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e3227">Conceptual diagram synthesizing the transport mechanisms of O<sub>3</sub>  under four weather types: <bold>(a)</bold> A-type, <bold>(b)</bold> C-type, <bold>(c)</bold> S-type, <bold>(d)</bold> WNE-type. The background contours represent the vertical profiles of average O<sub>3</sub>  concentrations (green rectangles indicate regions with high O<sub>3</sub>  concentration), while blue rectangles denote Xinxiang.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/15523/2026/acp-26-15523-2026-f12.png"/>

          </fig>

      <p id="d2e3276">For A-type, the intrusion is primarily initiated by the systematic macroscopic subsidence of the continental high-pressure system. As explicitly shown in Fig. 10a, a robust macro-scale downdraft dominates the vertical column over the Xinxiang region. This subsidence induces profound adiabatic compression, forming a significant low-level temperature inversion (1000–950 hPa) accompanied by low mid-level RH (Fig. S9). The inversion layer acts as a dynamic barrier, leading to marked vertical gradients in horizontal wind and sinking velocity and generating localized vertical wind shear. While the overall nocturnal surface environment remains highly stable and suppressed (consistent with the negative mean <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> anomaly in Table S2), this localized shear interaction triggers intermittent, transient bursts of mechanical turbulence. These brief turbulent eddies, evidenced by the distinct nocturnal fluctuations in <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 11), provide enough mechanical mixing to efficiently entrain the O<sub>3</sub>-rich air from the residual layer down to the surface.</p>
      <p id="d2e3312">Under C-type, vertical mixing is dominated by localized mesoscale thermodynamics rather than uniform synoptic subsidence. As seen in Fig. 10b, the vertical velocity field exhibits a complex coexistence of localized downdrafts and updrafts. The thermodynamic profiles (Fig. S9) corroborate this with a temperature inversion and mid-level dry air entrainment. This aligns perfectly with the cold pool mechanism: following convective rainfall, surface evaporative cooling generates a dense, subsiding pool of cold air. Simultaneously, the moderate CAPE values (86–314 J kg<sup>−1</sup>) indicate residual thermodynamic instability driving localized shallow convection. The intense collision between these subsiding cold pools and localized convective motions creates severe turbulent mixing. This translates into the sharp nocturnal fluctuations in <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 11), thereby increasing instability and dragging O<sub>3</sub>-rich air from the RL into the surface.</p>
      <p id="d2e3347">The local triggering mechanism under S-type relies fundamentally on intense mechanical shear overriding macro-scale lifting. S-type features strong southerly geostrophic winds. As this intense airflow approaches Xinxiang, it is forced upward by the Taihang Mountains, generating pronounced macro-scale orographic updrafts (Fig. 10c). However, to achieve the downward transport of O<sub>3</sub>  against this macroscopic background lifting, a highly aggressive, localized boundary-layer mixing mechanism is essential. Specifically, the moderate CAPE values (257–295 J kg<sup>−1</sup>) indicate persistent thermodynamic instability (Fig. S9), which fuels localized shallow convective motions within the nocturnal boundary layer. Simultaneously, anomalously strong near-surface horizontal winds (mean: <inline-formula><mml:math id="M215" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>WS <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.54 m s<sup>−1</sup>; Table S2) forcefully interact with surface friction, inducing severe mechanical wind shear. The powerful synergy of this thermal instability and mechanical shear explicitly manifests as massive, sharp nocturnal spikes in <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and PBLH (Table S2 (mean: <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>PBLH <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">102</mml:mn></mml:mrow></mml:math></inline-formula>.41 m, <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup>) and Fig. 11). Ultimately, this exceptionally enhanced turbulent mixing mechanically erodes the stable nocturnal inversion, overpowering the macroscopic updrafts to aggressively drag aloft O<sub>3</sub>  from the residual layer down to the surface.</p>
      <p id="d2e3468">Finally, under WNE-type, downward transport is facilitated by an advection-driven mechanical shear mechanism. As explicitly shown in Fig. 10d, the lower troposphere (below 850 hPa) is dominated by intense macro-scale subsidence. This induces a strong temperature inversion and extreme thermodynamic stability, corroborated by low CAPE values (22–23 J kg<sup>−1</sup>) (Fig. S9), meaning thermal convective motions are completely suppressed. However, WNE-type is simultaneously driven by intense horizontal advection. As this robust horizontal airflow passes over Xinxiang, intense near-surface vertical wind shear is produced. This macroscopic advective forcing translates directly into massive nocturnal spikes in boundary-layer turbulence, explicitly captured by <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and PBLH (Table S2 (mean: <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>PBLH <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">156</mml:mn></mml:mrow></mml:math></inline-formula>.22 m, <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.11 m s<sup>−1</sup>) and Fig. 11). This enhanced nocturnal turbulence drives the downward transport of O<sub>3</sub>  from the residual layer to the surface, thereby triggering the NOI events.</p>
      <p id="d2e3550">To conceptually synthesize the aforementioned transport mechanisms, we constructed a comprehensive schematic diagram (Fig. 12). This visual summary explicitly illustrates the distinct dynamical pathways for each weather type, highlighting how synoptic forcings and local topography act upon the boundary layer, thereby triggering surface NOI.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e3564">This study systematically investigated the synoptic drivers and underlying physical mechanisms governing NOI in a representative city in the North China Plain from 2021 to 2023. A high frequency of 370–444 NOI days was identified, with a distinct seasonal peak during the warm season (March–September). Approximately 69.53 % of these events occurred between 00:00 and 06:00 local time, suggesting that the post-midnight period is highly susceptible to episodic perturbations of atmospheric stability, which facilitate the downward intrusion of O<sub>3</sub>-rich air from the residual layer to the surface.</p>
      <p id="d2e3576">Subsequently, based on the Lamb-Jenkinson method, we categorized the synoptic backgrounds into four primary weather types: A-type (57.89 %), S-type (19.88 %), WNE-type (14.04 %), and C-type (8.19 %). Rather than simple seasonal dependencies, the occurrences and varying intensities of NOI were primarily determined by the distinct thermodynamic environments and evolutionary characteristics of these specific synoptic circulations. Specifically, A-type was characterized by a highly stable and suppressed local environment driven by anticyclones; C-type was dominated by low-pressure systems and moist advection, favouring atmospheric instability and convective activities; S-type was driven by a tight synoptic pressure gradient featuring strong southerly geostrophic advection, while WNE-type featured strong northwestern flows interacting with massive continental highs.</p>
      <p id="d2e3579">Under all four weather types, the development of NOI was significantly influenced by transport processes, which dictated the accumulation of upstream precursors and O<sub>3</sub>.  Furthermore, 3D regional trajectories provided Lagrangian evidence that the surface-arriving air masses systematically subsided from the upper residual layer or lower free troposphere (<inline-formula><mml:math id="M233" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 880 to 700 hPa). Ultimately, translating these high-altitude arrivals into surface NOI events relied on distinct local mechanical triggers. Under A-type, vertical transport was driven by systematic high-pressure subsidence; C-type was primarily triggered by severe mesoscale mixing from colliding cold-pool downdrafts and shallow convective motions; S-type was heavily dependent on a powerful synergy of localized convective instability and mechanical shear to overpower macro-scale orographic updrafts; WNE-type was facilitated by an advection-driven mechanical shear mechanism that overwhelmed the thermodynamic stability.</p>
      <p id="d2e3598">Overall, our results demonstrate how synoptic-scale circulations and local boundary-layer dynamics couple to cause NOI events. From an operational forecasting perspective, anticipating these events requires a hierarchical monitoring framework. As suggested by our findings, early warning systems should first track the onset of the identified primary synoptic weather types to anticipate large-scale subsidence and advection. Crucially, this macro-scale tracking must be combined with the real-time monitoring of localized boundary-layer metrics, particularly <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and PBLH, which serve as the direct mechanical triggers for downward transport. This combined approach of monitoring synoptic forcings alongside localized turbulent triggers offers an important physical perspective on the nocturnal O<sub>3</sub>  budget and provides actionable guidance for developing precise early warning systems and dynamic pollution control strategies in urban environments.</p>
</sec>

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

      <p id="d2e3625">The Global Data Assimilation System (GDAS1) dataset from the National Centers for Environmental Prediction (NCEP) is available at <uri>ftp://arlftp.arlhq.noaa.gov/pub/archives/gdas1</uri> (last access: 3 December 2025). The ERA5 reanalysis data can be accessed via <uri>https://www.ecmwf.int/en/forecasts/dataset/ecmwf-reanalysis-v5</uri> (last access: 3 December 2025). The MERRA-2 data is obtained from <uri>https://gmao.gsfc.nasa.gov/gmao-products/merra-2</uri> (last access: 3 December 2025).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e3637">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-15523-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-15523-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3646">HW and LF designed the research. HW conducted data analysis and simulations, with all co-authors advancing the overall analysis further. HW wrote the paper with support from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3652">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="d2e3658">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="d2e3664">This work was supported by the Demonstration research project on collaborative prevention and control of fine particulate matter and ozone pollution in Xinxiang (DQGG202133).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3670">This paper was edited by Xavier Querol and reviewed by three anonymous referees.</p>
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