<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-23-453-2023</article-id><title-group><article-title>Quantitative impacts of vertical transport on the long-term trend of nocturnal ozone increase over the <?xmltex \hack{\break}?> Pearl River Delta region during 2006–2019</article-title><alt-title>Quantitative impacts of vertical transport on the long-term trend of nocturnal ozone increase</alt-title>
      </title-group><?xmltex \runningtitle{Quantitative impacts of vertical transport on the long-term trend of nocturnal ozone increase}?><?xmltex \runningauthor{Y.~Wu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wu</surname><given-names>Yongkang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Weihua</given-names></name>
          <email>chenwh26@163.com</email>
        <ext-link>https://orcid.org/0000-0002-8153-0286</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>You</surname><given-names>Yingchang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Xie</surname><given-names>Qianqian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Jia</surname><given-names>Shiguo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Xuemei</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute for Environmental and Climate Research, Jinan University, Guangzhou 510632, PR China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Guangdong-Hong Kong-Macau Joint Laboratory of Collaborative Innovation for Environmental Quality, Guangzhou 511443, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Atmospheric Sciences, Sun Yat-sen University and Southern Marine Science <?xmltex \hack{\break}?> and Engineering Guangdong Laboratory, Zhuhai 519082, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Weihua Chen (chenwh26@163.com)</corresp></author-notes><pub-date><day>12</day><month>January</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>1</issue>
      <fpage>453</fpage><lpage>469</lpage>
      <history>
        <date date-type="received"><day>18</day><month>May</month><year>2022</year></date>
           <date date-type="accepted"><day>9</day><month>December</month><year>2022</year></date>
           <date date-type="rev-recd"><day>7</day><month>December</month><year>2022</year></date>
           <date date-type="rev-request"><day>14</day><month>June</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e145">The Pearl River Delta (PRD) region in southern China has been subject to severe ozone (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) pollution during daytime and anomalous nocturnal <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increase (NOI) during nighttime. In this study, the spatiotemporal variation of NOI events in the PRD region from 2006 to
2019 is comprehensively analysed, and the role of vertical transport in the
occurrence of NOI events is quantified based on observed surface and
vertical <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the fifth-generation European Centre for Medium-Range Weather Forecasts (ECMWF) reanalysis (ERA5) dataset. The results show that the average annual frequency of NOI events in the whole PRD region during the 14 year period is estimated to be 53 <inline-formula><mml:math id="M4" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with an average of 58 <inline-formula><mml:math id="M6" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the nocturnal <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak
(NOP) concentration. Low-level jets (LLJs) are the main meteorological
processes triggering NOI events, explaining on average 61 % of NOI events. Annual NOI events exhibit an upward trend before 2011 (4.70 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and a downward trend thereafter (<inline-formula><mml:math id="M10" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.72 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), which is consistent with the annual variation of LLJs (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Although the contribution of convective storms (Conv) to NOI events is relatively small with an average value of 11 %, Conv-induced NOI events steadily increased at a rate of 0.26 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during this 14 year period due to the impact of urbanisation. Seasonally, a relatively higher frequency of NOI events is
observed in spring and autumn, which is consistent with the seasonal pattern of LLJs and maximum daily 8 h average (MDA8) <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Spatially, NOI events are frequent in the eastern PRD, which agrees well with the spatial distribution of the frequency of LLJs and partially overlaps with the distribution of MDA8 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration, suggesting that vertical transport plays a more important role in NOI events than daytime <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration. The Weather Research and Forecasting (WRF) model coupled with the Community Multiscale Air Quality (CMAQ)  model and the observed vertical <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles are further applied to illustrate the mechanisms of NOI formation caused by LLJs and Conv. The results confirm that both LLJs and Conv trigger NOI events by inducing downdrafts with the difference being that LLJs induce downdrafts by wind shear, while Conv by compensating downdrafts. Through observational and modelling analysis, this study presents the long-term (2006–2019) trends of NOI events in the PRD region and quantifies the contribution of meteorological processes for the first time, emphasising the importance of vertical transport, as well as daytime <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration for the occurrence of NOI events.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e393">As a secondary pollutant, surface ozone (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is formed via photochemical reactions involving nitric oxide (<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and volatile organic compounds (VOCs) in the presence of sunlight. Therefore, <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows significant diurnal variation, with concentration peaks observed during daytime (Kleinman et al., 1994; Zhang et al., 2004). During nighttime, <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ceases owing to the absence of sunlight, and dry deposition and NO titration (Eq. R1) remove <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> directly from the atmosphere, leading to relatively low <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at night (Jacob, 2000; Brown et al., 2006).

          <disp-formula id="Ch1.R1" content-type="numbered reaction"><label>R1</label><mml:math id="M26" display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula>
        However, <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations do not always remain at low levels during
nighttime, and frequent nocturnal <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increase (NOI) events have been
observed in various countries in Asia, Europe, North America, etc. in
different topographies (plains, valleys, mountains, etc.) (Kuang et al.,
2011; Kulkarni et al., 2013; Klein et al., 2019; Udina et al., 2019; Zhu et
al., 2020). Kulkarni et al. (2015) found that NOI events were observed
around 03:00 (LT) in the UK, with concentrations as high as 118 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was much higher than the monthly average daytime <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration (69 <inline-formula><mml:math id="M31" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Yusoff et al. (2019)
also reported that frequent NOI events were observed in some cities in
Malaysia, and the annual trend of nocturnal <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was found
to be on the increase based on 11 years of ground-based measurements. High
nocturnal surface <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations have adverse effects on crops and
vegetation, leading to plant water loss, stomatal sluggishness, and
reduction in plant production (Caird et al., 2007; Cirelli et al., 2016;
Yue et al., 2017), as well as on human health (Kurt et al., 2016;
Carré et al., 2017).</p>
      <p id="d1e599">Because there is no photochemical production of <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at night, NOI events
are likely to be due to meteorological processes (Salmond and
McKendry, 2002). It has been widely recognised that low-level jets (LLJs)
are one of the most important meteorological processes that cause NOI events
(Salmond and McKendry, 2002; Kuang et al., 2011; Sullivan et al., 2017).
After sunset, radiative cooling and subsequent weakened turbulence result in
a stratified nocturnal boundary layer (NBL) with an altitude of 400–500 m
(Stull, 1988; Sugimoto et al., 2009; Fan et al., 2022). A residual layer
(RL) exists above the NBL, which contains residual <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced during
daytime. When an LLJ occurs during nighttime, it can break the delamination
between the NBL and the RL by wind shear and bring the <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the RL
to the surface, leading to an accumulation of ground-level <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. An
analysis of aircraft data from California has shown that LLJs promote the
mixing between the NBL and the RL and transport <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the RL to the
surface, leading to NOI events (Caputi et al., 2019). Convective
storms (Conv) are another meteorological process that contributes to NOI
events, especially at the Equator and in tropical areas that have a higher
frequency of convection (Prtenjak et al., 2013; Zhu et al., 2020; Wu et
al., 2020). Dias-Junior et al. (2017) revealed that downdrafts induced by
Conv play an important role in triggering NOI events in the Amazon region of
Brazil based on 1 year of observations. Jain et al. (2007) noted
that NOI events in India are often accompanied by thunderstorms and stable
boundary layer conditions. Other meteorological processes that are highly
dependent on topography, such as sea–land breezes and mountain–valley
breezes, also contribute to NOI events (Salmond and McKendry, 2002; Nair
et al., 2002). Seibert et al. (2000) pointed out that
nocturnal <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are elevated during foehn events in the
Eastern Alps.</p>
      <p id="d1e669">Therefore, NOI events are not an exception and can occur worldwide as a
result of certain meteorological processes (LLJs, thunderstorms, foehn,
etc.) (Hu et al., 2013; Caputi et al., 2019; Klein et al., 2019; Udina et
al., 2019; Shith et al., 2021). LLJs and Conv are important factors
influencing the generation of NOI events; however, their relative
contribution to NOI events has not yet been quantified. Most previous
studies have focused on the analysis of a single NOI event or NOI events at
limited monitoring sites for short periods (Jain et al., 2007; Hu et al.,
2013; He et al., 2021). Consequently, it is of great importance to
investigate the long-term trends of NOI events on a larger scale to further
quantify the impacts of meteorological processes, such as LLJs and Conv, on
NOI events.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e676">Summary of the dataset used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Description</oasis:entry>
         <oasis:entry colname="col2">Period</oasis:entry>
         <oasis:entry colname="col3">Sites</oasis:entry>
         <oasis:entry colname="col4">Temporal</oasis:entry>
         <oasis:entry colname="col5">Spatial</oasis:entry>
         <oasis:entry colname="col6">Purpose</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">resolution</oasis:entry>
         <oasis:entry colname="col5">resolution</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Observed <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data</oasis:entry>
         <oasis:entry colname="col2">2006–2019</oasis:entry>
         <oasis:entry colname="col3">16 sites</oasis:entry>
         <oasis:entry colname="col4">1 h</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">Spatiotemporal analysis of NOI</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">and NOP,  model performance</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Observed vertical <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2019</oasis:entry>
         <oasis:entry colname="col3">Dongguan</oasis:entry>
         <oasis:entry colname="col4">12 min</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">Analysis of an NOI event caused</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">data</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">superstation</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">by Conv</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Observed meteorological</oasis:entry>
         <oasis:entry colname="col2">8–15 September 2017</oasis:entry>
         <oasis:entry colname="col3">9 sites</oasis:entry>
         <oasis:entry colname="col4">1 h</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">Model performance</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">data</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Observed cloud-top</oasis:entry>
         <oasis:entry colname="col2">2019</oasis:entry>
         <oasis:entry colname="col3">Gridded data</oasis:entry>
         <oasis:entry colname="col4">1 h</oasis:entry>
         <oasis:entry colname="col5">0.1<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Indicator of the occurrence of</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">temperature (CTT) data</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">convection</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ERA5 reanalysis dataset</oasis:entry>
         <oasis:entry colname="col2">2006–2019</oasis:entry>
         <oasis:entry colname="col3">Gridded data</oasis:entry>
         <oasis:entry colname="col4">1 h</oasis:entry>
         <oasis:entry colname="col5">0.25<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Definition of LLJs and Conv</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e986">In China, ground-level <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution has deteriorated
in recent years, especially in the Pearl River Delta (PRD) region (Wang et al., 2017). Liao et al. (2021) investigated ozonesonde profiles recorded in Hong Kong during 2000–2019 and indicated that <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the lower troposphere have increased substantially at a rate of 0.618 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, indicating a continuous deterioration of <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution in the PRD region over the last 20 years. The PRD region is the first urban agglomeration in China to change its main pollutant from particulate matter with an aerodynamic diameter of less than or equal to 2.5 mm (PM<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) to <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Numerous studies in the PRD region have investigated the daytime <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> characteristics, such as the long-term trends (Xue et al., 2014; Li et al., 2022), the nonlinear response of <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to precursor emissions (Lu et al., 2010; Mao et al., 2022), the source apportionment of <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Shen et al., 2015; Liu et al., 2020), and the relative contributions of precursor emissions and meteorology to <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (L. Yang et al., 2019; Chen et al., 2020). In terms of nighttime <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Tong and Leung (2012) observed a double-peak pattern of diurnal <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variation in Hong Kong during 1990–2005 and found that nocturnal <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peaks are sometimes higher than daytime maxima. He et al. (2021) studied an NOI event in the city Shaoguan in Guangdong province and found that nocturnal mountain–valley breezes from the Nanling Mountains transported <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the RL to the surface. However, studies on the spatiotemporal distribution of nocturnal <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the PRD region and the factors influencing it are still lacking. There is an urgent need to comprehensively study the characteristics of NOI events in the PRD region, as it is frequently affected by special meteorological processes (such as LLJs and Conv) that favour NOI events due to its special topography with the coast to the south and the mountains to the north. In addition, high population densities and an increasing number of people active at night in the PRD region make NOI events an important potential risk to human health (Kurt et al., 2016; Carré et al., 2017; C. Yang et al., 2019; Zhang et al., 2021).</p>
      <p id="d1e1160">In this study, the long-term trends and spatial distribution of NOI are
presented via in situ hourly <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration data collected from 16
air quality monitoring sites in the PRD region during 2006–2019. In
addition, the relative contributions of LLJs and Conv to NOI events are
quantified based on the ERA5 reanalysis dataset. Finally, the observed
vertical profile of <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the Weather Research and Forecasting (WRF)
model coupled with the Community Multiscale Air Quality (CMAQ) model are
applied to further elaborate the impacts of LLJs and Conv on the selected
typical NOI events. This study provides a comprehensive analysis of NOI
events and the meteorological factors influencing them in the PRD region
over a 14 year period for the first time, expanding our knowledge of the
meteorological role in NOI events.</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="d1e1200">The dataset used in this study is summarised in Table 1. In brief, the
observed hourly <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the 16 air quality monitoring
sites in the PRD region from 2006 to 2019 are provided by the Guangdong–Hong
Kong–Macau Pearl River Delta Regional Air Quality Monitoring Network (HKEPD,
2017) (Fig. 1). More detailed information of these sites can be found in
Table S1 in the Supplement. The observed hourly <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data were used for subsequent NOI and
NOP analyses and evaluation of <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1238">Model domains and locations of 16 air quality monitoring stations (purple dots), nine meteorological stations (blue triangles), and the Dongguan superstation (red triangles). The figure on the right shows the elevation of the terrain (m). The 16 air quality monitoring stations are Nanchengyuanling (NCYL), Jinjiju (JJJ), Huijingcheng (HJC), Luhu (LH), Wanqingsha (WQS), Tianhu (TH), Tap Mun (TM), Tsuen Wan (TW), Tung Chung (TC), Xiapu (XP), Jinguowan (JGW), Donghu (DH), Liyuan (LY), Tangjia (TJ), Chengzhong (CZ), and Zimaling (ZML). The nine meteorology sites are Dongguan (DG), Shunde (SD), Guangzhou (GZ), Huiyang (HY), Taishan (TS), Shenzhen (SZ), Zhuhai (ZH), Gaoyao (GY), and Zhongshan (ZS). </p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f01.png"/>

        </fig>

      <p id="d1e1247">The vertical distribution of <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations observed at the Dongguan
superstation (23.02<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 113.79<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in 2019 is also used
to investigate the impact of Conv on a particular NOI event. The vertical
profile of <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is measured using an <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lidar (model: LIDAR-G-2000).
The detection height of the <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lidar is 3 km, with a vertical spatial
resolution of 7.5 m and a temporal resolution of 12 min.</p>
      <p id="d1e1314">The observed meteorological variables at the nine meteorological sites (Fig. 1)
in the PRD region are obtained from the Chinese National Meteorological
Centre (CNMC, <uri>http://www.cma.gov.cn/</uri>, last access: 10 February 2022), including temperature (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>), relative humidity (RH) and wind
speed (WS10). The observed meteorological data were used to evaluate the
performance of the model. More detailed information of the nine meteorological
sites can be found in Table S2.</p>
      <p id="d1e1330">To investigate the impacts of meteorological processes on NOI events, the
ERA5 reanalysis dataset (<uri>https://cds.climate.copernicus.eu/cdsapp#!/home</uri>, last access:
10 February 2022) provided by the European Centre for Medium-Range Weather
Forecasts (ECMWF) is used in this study. The ERA5 reanalysis dataset, which
currently covers the period from 1979 to present, is provided on regular
latitude–longitude grids at approximately <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and up to 1 h frequency. Vertically, ERA5 resolves the
atmosphere using 137 levels from the surface to an altitude of 0.01 hPa. The
performance of ERA5 has been evaluated in previous studies and has been shown to
be adequate for further analysis (Olauson, 2018; Hersbach et al., 2020).
The ERA5 reanalysis dataset includes wind speed, precipitation, temperature,
and vertical wind velocity. Since the ERA5 reanalysis dataset was gridded,
the nearest-neighbour interpolation method is used to obtain site-specific
meteorological variables at the 16 air quality monitoring sites.</p>
      <p id="d1e1356">The observed cloud-top temperature (CTT) data for 2019 obtained from the
Fengyun 2G satellite (<uri>http://satellite.nsmc.org.cn/</uri>, last
access: 31 August 2022) are used to indicate the occurrence of convection. The CTT data
cover the East Asia region with a spatial resolution of 0.1<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and
a temporal resolution of 1 h.</p><?xmltex \hack{\vspace*{1mm}}?>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Definition of NOI and NOP</title>
      <p id="d1e1380"><?xmltex \hack{\vspace*{1mm}}?>For our analysis, we define a nocturnal <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increase (NOI) event as
<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations peaked at night (from 21:00 to 06:00 LT the next
day), with an increase in levels of at least 10 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared to
the previous hour (includes 20:00 LT) and a decrease of less than 10 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the next hour (includes 07:00 LT). The corresponding nighttime
peak concentration of <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is referred to as the nocturnal <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak
(NOP) (Zhu et al., 2020). In this study, based on the above observed
hourly <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data at the 16 air quality monitoring sites, NOI events are
identified at each site, yet only one NOI event is recorded per night,
regardless of how many NOI events occur in a single night. In addition, the
regional values of NOI and NOP from the 16 air quality monitoring sites were
averaged.</p><?xmltex \hack{\vspace*{1mm}}?>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Definition of LLJs and Conv</title>
      <p id="d1e1487"><?xmltex \hack{\vspace*{1mm}}?>Low-level jets (LLJs) and convective storms (Conv) are defined in this study
based on the above site-specific ERA5 reanalysis dataset. According to
Banta et al. (2002) and Hodges and Pu (2019), LLJs are defined
as when vertical wind speed maxima occur below 800 hPa and exhibit a decrease
of at least 1.5 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at vertical levels both above and below the
levels of the maxima. We assume that LLJs cause downdrafts because of the
vertical wind shear the jets induce, which creates mechanical turbulence.</p>
      <p id="d1e1508">Conv is defined by the following criterion: the mean K index (KI) is greater
than 30 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> within 3 h prior to an NOI event (George, 1960;
Johnson, 1982). The KI is calculated as follows:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>1</label><mml:math id="M83" display="block"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">850</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>T</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">850</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">700</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi>T</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">700</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">850</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">700</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the temperature (<inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)
at 850, 700, and 500 hPa, respectively, and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">850</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">700</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the dew point temperature at 850 and 700 hPa,
respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1658">Model configurations.</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 rowsep="1">
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry colname="col2">Physical process</oasis:entry>
         <oasis:entry colname="col3">Parameterisation scheme</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">WRF</oasis:entry>
         <oasis:entry colname="col2">Microphysics</oasis:entry>
         <oasis:entry colname="col3">Lin</oasis:entry>
         <oasis:entry colname="col4">Lin et al. (1983)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Longwave radiation</oasis:entry>
         <oasis:entry colname="col3">RRTMG</oasis:entry>
         <oasis:entry colname="col4">Iacono et al. (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Shortwave radiation</oasis:entry>
         <oasis:entry colname="col3">RRTMG</oasis:entry>
         <oasis:entry colname="col4">Iacono et al. (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Surface layer</oasis:entry>
         <oasis:entry colname="col3">Monin–Obukhov</oasis:entry>
         <oasis:entry colname="col4">Monin and Obukhov (1954)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Planetary boundary layer</oasis:entry>
         <oasis:entry colname="col3">MYJ</oasis:entry>
         <oasis:entry colname="col4">Nakanishi and Niino (2006)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cumulus parameterisation</oasis:entry>
         <oasis:entry colname="col3">Grell-3</oasis:entry>
         <oasis:entry colname="col4">Grell and Dévényi (2002)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Land surface</oasis:entry>
         <oasis:entry colname="col3">Noah land surface model</oasis:entry>
         <oasis:entry colname="col4">Chen and Dudhia (2001)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CMAQ</oasis:entry>
         <oasis:entry colname="col2">Gas-phase chemistry</oasis:entry>
         <oasis:entry colname="col3">SAPRC 07</oasis:entry>
         <oasis:entry colname="col4">Carter (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aerosol chemistry</oasis:entry>
         <oasis:entry colname="col3">AERO6</oasis:entry>
         <oasis:entry colname="col4">Carlton et al. (2010)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1826">Cloud-top temperature (CTT) was also introduced as an indicator of the
occurrence of convective systems and further used to evaluate the
applicability of KI. The lower the CTT, the higher the probability of
a convection event. According to the work of Ai et al. (2016), CTT lower than
<inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> indicates the occurrence of convection. We randomly selected
10 nights with <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Table S3) and 10 nights with
<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Table S4) and examined the corresponding CTT
values. In the cases with <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the CTT values were
lower than <inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in 10 out of 10 nights (Table S3). And the spatial
distribution of CTT showed that they had a distinct circular area with a lower
value over the selected sites, indicating the occurrence of convective
systems (Fig. S1 in the Supplement). For the cases with <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, 6 out of
10 nights were with CTT higher than <inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, while the rest of the 4 nights
had no CTT data due to cloudless weather (Table S4). The spatial
distribution of CTT did not show the features of a convective system (Fig. S2), suggesting that convection was not observed for the selected 10 cases
with <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The above results suggest that the <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mtext>KI</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> criterion is a valid metric to capture the
occurrence of convection.</p>
      <p id="d1e2033">In this study, an NOI event at each air quality site was classified into
four categories: caused by LLJs only, caused by Conv only, caused by LLJs
and Conv (LLJs+Conv) at the same time, and caused by other factors.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Trend analysis</title>
      <p id="d1e2044">In this study, the nonparametric Mann–Kendall (M–K) test (Mann, 1945) is
used to determine the statistical significance (<inline-formula><mml:math id="M108" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values) associated with
the annual trends of NOI, NOP, MDA8 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, LLJs and Conv, etc. A
significance level of <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> was used to test the significance of
the interannual trend. The magnitude of a given trend is calculated by the
nonparametric Theil–Sen (T–S) estimator (Sen, 1968). The advantage of the
M–K test and the T–S estimator is that they do not require prior assumptions of the statistical distribution for the data and are resistant to outliers. The M–K test and the T–S estimator have been widely used in previous <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> trend studies (Wang et al., 2019; Lu et al., 2020; Li et al., 2022).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>WRF–CMAQ model configuration</title>
      <p id="d1e2097">Due to the lack of observed vertical profiles of wind speed, the WRF–CMAQ
model is employed to investigate the effects of LLJs on a selected NOI
event. The NOI event induced by LLJs that occurred at the Nancheng Yuanling
(NCYL) site in Dongguan on 13–14 September 2017 is selected as a typical
case. The simulation was conducted during 6–14 September by using the
WRF–CMAQ–IPR model with the first 2 d used as model spin-up to eliminate the
impact of the initial meteorological conditions (IC) (Jiménez et al., 2007).</p>
      <p id="d1e2100">The Weather Research and Forecasting model (WRFv3.9.1) is used to provide
meteorological inputs to drive the Community Multiscale Air Quality (CMAQ
v5.3.1) model. The IC
and boundary conditions (BC) are provided by the National Centers for Environmental Prediction (NCEP) Final Analyses (FNL) dataset, with a spatial resolution of <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and a temporal resolution of 6 h. The main physics options used for the WRF model are shown in Table 2. Two nested domains are used in the WRF simulations, with 38 vertical layers from the surface to 100 hPa. Figure 1 shows the two nested modelling domains, with spatial resolutions of <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> km, and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km for the coarse (D01) and inner (D02) domains, respectively. D01 covers most regions of China and D02 covers the whole PRD region.</p>
      <p id="d1e2155">The CMAQ model is used to simulate the <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the PRD
region. The SAPRC07 and AERO6 aerosol modules are used for gas-phase and
particulate matter chemical mechanisms, respectively (Carter, 2010; Wyat
Appel et al., 2018). The chemical IC and BC for D01 are derived from a
global chemical transport model, the Model for Ozone and Related Chemical
Tracers, version 4 (MOZART4) (Emmons et al., 2010), and those for D02 are
provided by the simulated results from D01. The anthropogenic emissions for
D01 are based on the 2016 Multi-resolution Emission Inventory for China,
which has a grid resolution of <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Zheng et al., 2018). Those used for D02 are based on the 2017 high-resolution emission inventory of the PRD region with a grid resolution of <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>km</mml:mtext><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km (Zhong et al., 2018), which includes the emission sectors of agriculture, biomass combustion, incineration, dust, industrial processes, non-road, solvent, storage, transportation and waste disposal. Biogenic emissions are calculated using the Model of Emissions of Gases and Aerosols from Nature (MEGAN) v2.1 that was integrated into the CMAQ model (Guenther et al., 2006; Wang et al., 2011).</p>
      <p id="d1e2204">In order to interpret the underlying atmospheric mechanisms for NOI events,
the Integrated Process Rates (IPR) analysis tool embedded in the WRF–CMAQ
model is used to identify and quantify the contribution of various physical
and chemical processes to <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The processes include horizontal
transport (HTRA), vertical transport (VTRA), gas-phase chemistry (CHEM), dry
deposition (DDEP), and cloud processes (CLDS). Horizontal transport is the
sum of horizontal advection and diffusion, and vertical transport is the sum
of vertical advection and diffusion. More details on the IPR analysis tool
can be found in previous work (Liu et al., 2010; Wang et al., 2010).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Model evaluation</title>
      <p id="d1e2226">The WRF–CMAQ simulation results are evaluated by comparison with available
ground-based observed <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and meteorological data. Statistical metrics including mean value (<inline-formula><mml:math id="M120" display="inline"><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mover accent="true"><mml:mtext>Sim</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>), mean bias (MB), normalised mean bias (NMB), normalised mean error (NME), root mean square error (RMSE), correlation coefficient (<inline-formula><mml:math id="M122" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>), and index of agreement (IoA) are calculated as follows to evaluate model performance.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M123" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>MB</mml:mtext><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Sim</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>NMB</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>NME</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>|</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>RMSE</mml:mtext><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Sim</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Sim</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>IoA</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mo>|</mml:mo><mml:msub><mml:mtext>Sim</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>|</mml:mo><mml:mo>+</mml:mo><mml:mo>|</mml:mo><mml:msub><mml:mtext>Obs</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>Obs</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>|</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The evaluation protocols of the U.S. Environmental Protection Agency (EPA,
2017) are used to evaluate the performance of the meteorological parameters.
The simulated results were accepted when the statistics met the criteria
listed as follows: <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mtext>MB</mml:mtext><mml:mo>≤</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mtext>IoA</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> for simulated <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mtext>MB</mml:mtext><mml:mo>≤</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mtext>IoA</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> for simulated
RH; and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mtext>MB</mml:mtext><mml:mo>≤</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mtext>RMSE</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mtext>IoA</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>
for simulated WS10. The evaluation protocols of the Ministry of
Environmental Protection of China (MEE, 2015) are used to evaluate the performance of <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the simulated results were acceptable if the statistics met the criteria listed below: <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>&lt;</mml:mo><mml:mtext>NMB</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mtext>NME</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> %, and <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>.</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>General characteristics of NOI events</title>
      <p id="d1e2934">The average annual frequency of NOI events in the 16 sites across the whole
PRD region from 2006 to 2019 is estimated to be 53 <inline-formula><mml:math id="M139" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
with an average annual NOP concentration of 58 <inline-formula><mml:math id="M141" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
LLJs are the primary factor causing NOI events, accounting for about 61 %,
followed by the combination of LLJs and Conv (LLJs+Conv) with a value of
16 %, while the corresponding value is 11 % for Conv (Fig. 2). The
remaining 12 % of NOI events that cannot be explained by LLJs and Conv may
be related to other meteorological processes, such as mountain–valley
breezes and sea–land breezes (Sousa et al., 2011; He et al., 2021).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2989">The average relative contribution of different meteorological
processes to NOI events during 2006–2019.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Long-term trends of NOI events</title>
      <p id="d1e3006">As depicted in Fig. 3a, the regional-average annual frequency of NOI events
increased from 38 <inline-formula><mml:math id="M143" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2006 to as high as 67 <inline-formula><mml:math id="M145" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2011 at a rate of 4.70 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and
gradually decreased after 2012 at a rate of <inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.72 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). A similar annual trend is observed for the frequency of total
downdrafts (sum of LLJs, LLJs+Conv, and Conv) (Fig. 3b). The frequency of
total downdrafts increased at a rate of 4.02 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>)
before 2012 and decreased at a rate of <inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>)
thereafter, which is significantly positively correlated with NOI events,
with a Pearson correlation coefficient (<inline-formula><mml:math id="M157" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) of 0.96 (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Among
the total downdrafts, LLJs exhibit a similar pattern with NOI events
(<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), further suggesting that LLJs are the
predominant driver. Conv presents a continuously increasing trend over the
whole 14 year period, with a rate of 0.26 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), and
the frequency of LLJs+Conv does not show obvious variation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3264">Regional-average annual trends of <bold>(a)</bold> frequency of NOI events; <bold>(b)</bold>
frequency of total downdrafts (black), LLJs (orange), LLJs+Conv (green), and
Conv (red) that can induce NOI events; <bold>(c)</bold> NOP concentrations; and <bold>(d)</bold>
MDA8 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the PRD region during 2006–2019. The units of
<inline-formula><mml:math id="M164" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (Sen's slope) are <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in <bold>(a, b)</bold> and <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in <bold>(c, d)</bold>. Linear trends significant at the 95 % confidence
level are illustrated with dashed lines. The error bars indicate the range
of deviations for the 16 air quality sites.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f03.png"/>

        </fig>

      <p id="d1e3361">Both the frequency of NOI and LLJs present increasing trends before 2012 and
decreasing trends thereafter, which was likely related to urbanisation.
Previous studies have shown that urbanisation has large effects on the
frequency of LLJs by changing surface conditions (roughness and soil
moisture) and further affecting the turbulence and geostrophic wind speed
(McCorcle, 1988; Fast and McCorcle, 1990; Kallistratova, 2008; Nikolic et
al., 2019; Ziemann et al., 2019). Kallistratova (2008) and Nikolic et al.
(2019) pointed out that negative correlation was found between urban areas
and the frequency of LLJs. During 1987–2017, the urban areas in the PRD
region grew at an average rate of 8.82 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (C. Yang et al., 2019)
and reached a maximum urban land expansion growth rate of 6.66 % during
2010–2015 (Zhang et al., 2021). Therefore, the trends for the frequency
of NOI and LLJs were quite different during these two periods (2006–2011 and
2012–2019).</p>
      <p id="d1e3382">Although the percentage of NOI events caused by Conv alone is relatively
small compared to those caused by LLJs (Fig. 2), it is noteworthy that the
frequency of Conv-induced NOI events was on the increase during the 14 year
period (Fig. 3b), which is also mainly related to the rapid urbanisation in
the PRD region in recent years (C. Yang et al., 2019; Zhang et al.,
2021). Surface roughness increase due to city expansion led to the greater
frequency and intensity of convection in the form of enhanced mechanical
turbulence (Li et al., 2021), thus an increase in the frequency of
Conv-induced NOI events. The role of Conv in the occurrence of NOI events is
expected to amplify in the future if the urbanisation trend in China
continues (Seto et al., 2012; Marelle et al., 2020).</p>
      <p id="d1e3385">In contrast to the annual trend of NOI frequency, the nocturnal <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak
(NOP) value shows an upward trend during 2006–2019, with a slower growth
rate of 0.54 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) before 2015 and a
faster growth rate of 4.76 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>)
thereafter (Fig. 3c). The maximum daily 8 h average (MDA8) <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratio exhibits a similar pattern to NOP, with an increase rate of 0.39 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) before 2015 and 9.21 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) thereafter (Fig. 3d). NOP is
significantly positively correlated with MDA8 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M179" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> up to 0.88
(<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). This implies that daytime <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration levels
potentially affect NOP concentrations. The variations of NOP and MDA8
<inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the two periods (2006–2015 and 2016–2019) are more likely
related to the change in precursor emissions. The continuous increase in the
emissions of anthropogenic VOCs and <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> resulted in the gradual
increase of <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations between 2006 and 2012 (Ma et al.,
2016; Li et al., 2017; Zhong et al., 2018; Liao et al., 2021). However,
since the implementation of the Air Pollution Prevention and Control Action Plan
(APPCAP) in 2013, <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions were dramatically decreased by 21 % in
2017 compared to 2013 (Feng et al., 2019; L. Yang et al., 2019). The weakening
of NO titration caused by the dramatic decrease in <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions and
the continuously increasing VOC emissions due to the lack of controls
became important drivers of the sharp rise in <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> since 2015 (Li et al.,
2019; Mousavinezhad et al., 2021; Li et al., 2022). Furthermore, the
decreasing PM<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels and the increasing atmospheric oxidising
capacity in the PRD region in recent years have also been considered
important contributors to accelerated <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> growth during 2016–2019
(Gong et al., 2018; Li et al., 2019; Han et al., 2019). Consequently, NOP
and MDA8 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> present a slower increase rate before 2015 and higher
increase rate thereafter.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Seasonal variations of NOI events</title>
      <p id="d1e3719">NOI events exhibit obvious seasonal variation (Fig. 4a), with relatively
higher frequency observed in spring (18 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and autumn
(20 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and lower frequency in summer (14 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and winter (16 <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). LLJs are the dominant
inducer of NOI events in spring, autumn, and winter (Fig. 4b), while in
summer, the dominant factors are LLJs+Conv and Conv, because convective
activity is more intense during summer (Chen et al., 2014). Given
that LLJs can enhance turbulence below the jet and create favourable
formation conditions for Conv (Trier et al., 2017; Du and Chen, 2019),
most Conv events preferentially occur on days when LLJs exist in the PRD
region (Chen et al., 2014), which makes LLJs+Conv the main
contributor in summer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3821">Seasonal variation of <bold>(a)</bold> frequency of NOI events; <bold>(b)</bold> frequency
of total downdrafts (black), LLJs (orange), LLJs+Conv (green), and Conv
(red) that can induce NOI events; <bold>(c)</bold> NOP concentrations; and <bold>(d)</bold> MDA8
<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the PRD region during 2006–2019. The error bars
indicate the range of deviations for the 16 air quality sites.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f04.png"/>

        </fig>

      <p id="d1e3853">In terms of NOP (Fig. 4c), relatively higher concentrations are observed in
spring and autumn, with values of 59 <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 and 66 <inline-formula><mml:math id="M201" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, while the concentration in summer
is the lowest (44 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The MDA8 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a
similar seasonal variation to NOP except in winter (Fig. 4d); it is high in
spring (111 <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and autumn (120 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and low in summer (88 <inline-formula><mml:math id="M210" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In winter,
surface MDA8 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was the lowest (86 <inline-formula><mml:math id="M213" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while
NOP remained at relatively high levels (56 <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).
This is because the higher <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the lower troposphere
in winter allow more <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to be transported downward during the NOI
period, resulting in a higher NOP concentration in winter, as shown by the
seasonally observed vertical <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile at the Dongguan superstation
(Fig. 5). As illustrated in Fig. 5, higher <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are
observed at 200 to 750 m altitude in winter than in summer. A similar result
was also observed in Hong Kong (Liao et al., 2021). This is
mainly due to the typical Asian monsoon circulation, which brings clean
marine air to the lower troposphere of the PRD region in summer and dilutes
polluted air masses inland, while it brings pollutant-laden air from
mainland China in winter resulting in higher <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations over the PRD region (Wang et al., 2009).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4128">Seasonally averaged vertical distribution of <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations at the Dongguan superstation from the surface to an altitude
of 3000 m in 2019. Spring (Spr.): March–May, Summer (Sum.): June–August,
Autumn (Aut.): September–November, Winter (Win.): December–February.</p></caption>
          <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4150">Diurnal variation of <bold>(a)</bold> the frequency of NOI events, <bold>(b)</bold>
the frequency of total LLJs (black) and the LLJs that can induce NOI events
(orange), and <bold>(c)</bold> NOP concentrations during 21:00–06:00 (LTC) in the PRD region
during 2006–2019. The error bars indicate the range of deviations for the 16
air quality sites.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4170">Spatial distribution of annual average <bold>(a)</bold> NOI event frequency
(points) and LLJs frequency (contours) and <bold>(b)</bold> MDA8 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Diurnal variation of NOI events</title>
      <p id="d1e4204">Distinct diurnal variation is observed in NOI events (Fig. 6a) with an
increasing trend from 21:00 to 03:00 LT (UTC<inline-formula><mml:math id="M224" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>08:00) and a decreasing trend thereafter. It is estimated that about 60 % of the events occurred in the middle of the night (11:00–03:00 LT). The LLJs that can induce NOI events show a similar diurnal variation to the frequency of NOI events and often occur around midnight. However, the frequency of total LLJs differs from the frequency of LLJs that can induce NOI events (Fig. 6b), as it increases steadily from 21:00 to 00:00 LT and remains stable after 00:00 LT. This suggests that LLJs are not the only factor that determines whether an NOI event can develop, and <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the RL can also affect the development of an NOI event. As the sun sets and the daytime boundary layer fades away, the <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced during daytime remains at a relatively high level in the RL during 21:00–03:00 LT. During this period, the occurrence of LLJs tends to increase the probability of NOI events. After 03:00 LT, the <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the RL decreased due to horizontal transport to a downwind area and vertical transport (e.g. LLJs, convection, <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dry deposition process) during 21:00–03:00 LT, which reduced the amount of <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that can be transported downward. Hence, even though the frequency of the total LLJs is relatively high after 03:00 LT, the lower <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content in the RL results in less <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> being transported downward to form an NOI event, which ultimately decreases the frequency of NOI events. As illustrated in Fig. 6c, the trends of NOP concentrations from 21:00 to 06:00 LT also reflect the fact that <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the RL are higher during 21:00–00:00 LT and lower during 00:00–06:00 LT. Therefore, the development of an NOI event is influenced by the combination of a downdraft induced by meteorological processes and the level of <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Spatial distribution of NOI events</title>
      <p id="d1e4323">As most NOI events are caused by LLJs, LLJs are taken as an example to
explore the role of meteorological processes in the spatial distribution of
NOI events. The spatial distribution of the average annual frequency of NOI
events and LLJs in the PRD region from 2006 to 2019 is shown in Fig. 7a, and
the spatial distribution of MDA8 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations obtained by
Kriging's interpolation method is shown in Fig. 7b. Obvious geographical
variations are observed for NOI events, with a higher frequency in the
eastern PRD region, coupled with a higher frequency of LLJs, although the
MDA8 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are relatively lower in these regions. In the central PRD region, despite the highest MDA8 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, the frequency of NOI events was the lowest, implying a more important role of
vertical transport induced by meteorological processes in the formation of
NOI events. At the three sites located in the southern part of the PRD
regions (Tangjia– TJ, Tsuen Wan – TW, Tung Chung – TC) the frequency of NOI events was the highest, while the frequency of LLJs was not. This is because these three sites were also affected by non-LLJ (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mtext>Conv</mml:mtext><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mtext>LLJs</mml:mtext><mml:mo>+</mml:mo><mml:mtext>Conv</mml:mtext><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mtext>Other</mml:mtext></mml:mrow></mml:math></inline-formula>) processes with comparable contributions of LLJs and non-LLJs to the NOI events. And the
contributions of LLJs (60 %–70 %) were higher than those of non-LLJs at the rest of the sites (Table S5).</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Causative analysis of NOI events: convective storms trigger</title>
      <p id="d1e4393">In order to elaborate on the underlying atmospheric mechanisms for Conv-induced NOI events, a distinct NOI event associated with Conv observed at the Nancheng Yuanling (NCYL) site in Dongguan on 3–4 September 2019 is taken as a typical example. The vertical <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile data observed at the Dongguan superstation are used to represent the vertical <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution at the NCYL site during this NOI event, since the distance between these two stations is only 3 km.</p>
      <p id="d1e4418">The KI remains above 36 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 8a), and the vertical velocity shows continuous updraft trends at 1–3 km altitude from 14:00 to 23:00 LT (Fig. 8b), indicating a high possibility of convection. Although the magnitude of vertical velocity was relatively low, it  has also been found in previous studies (Ploeger et al., 2021). In addition, the spatial distribution of CTT shows that the CTT value at 18:00 LT over Dongguan was around <inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 9a), which was lower than the criterion (<inline-formula><mml:math id="M243" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>35 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) for the occurrence of a
convection process. The results of KI, the vertical velocity, and the CTT indicate that the possibility of a convection process is high. Thus, the precipitation that occurred during 16:00–20:00 LT was a convective precipitation. The effect of rainfall on <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal is relatively small after sunset, because wet deposition of <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> occurs through the removal of the precursors HN<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by water vapour under solar radiation, which is indirect and rather peripheral, and the effect of heterogeneous processes on <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> removal is weak (Jacob, 2000; Awang et al., 2015; Zhu et al., 2020). Therefore, the unconsumed <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> remains stable in the RL. As illustrated in Fig. 8c, higher <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are found in the RL after 18:00 LT, reaching around 200 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. At 21:00 LT, a strong updraft suddenly appears above 1.5 km (Fig. 8b), and a distinct area of low CTT values (around <inline-formula><mml:math id="M253" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) could be observed over Dongguan (Fig. 9b), confirming the occurrence of an updraft. The updraft subsequently caused a strong compensating downdraft below 1 km at 22:00–23:00 LT (Fig. 8b). The downdraft then breaks through the stable nocturnal boundary layer and transports <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the RL to the surface (Fig. 8c). Hence, an NOI event occurs at 23:00 LT, with <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations increased from 45 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 22:00 LT to 59 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 23:00 LT. Although the modelled downdraft that occurred at 22:00–23:00 LT (Fig. 8b) was around half an hour later than the observed <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> intrusion into the nocturnal boundary layer (Fig. 8c) due to the model errors, the modelled results can still generally capture the occurrence of convection processes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4667"><bold>(a)</bold> Hourly variations of KI (brown line), <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
(blue line), and hourly precipitation amount (blue bar); <bold>(b)</bold> vertical wind
velocity with positive and negative values related to updrafts and
downdrafts; and <bold>(c)</bold> vertical profile of <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the NCYL site
in Dongguan on  3–4 September 2019.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4709">Spatial distribution of cloud-top temperature (CTT) at <bold>(a)</bold> 18:00 LT and <bold>(b)</bold> 21:00 LT on 3 September 2019.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Causative analysis of NOI events: LLJs trigger</title>
      <p id="d1e4732">Another typical NOI event induced by LLJs that occurred at the NCYL site in
Dongguan on 13–14 September 2017 was simulated using the WRF–CMAQ–IPR model, because no vertical profiles of wind speed were observed. Model performance was first evaluated. Comparisons of the simulated meteorological parameters with observations for the nine sites in the PRD region during 8–14 September 2017 are shown in Fig. S3, with statistical indices reported in Table S6. The results show that WS10 was reasonably well simulated, as the regional average of MB, RMSE, and IoA met the EPA criteria mentioned in Sect. 2.6. The simulated regional average of RH and <inline-formula><mml:math id="M262" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>2 were slightly overestimated (MB <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn></mml:mrow></mml:math></inline-formula> %) and underestimated (MB <inline-formula><mml:math id="M265" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.4 <inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), respectively, while they performed well at the Dongguan site, where both the MB (RH <inline-formula><mml:math id="M267" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M269" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>2 <inline-formula><mml:math id="M270" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M271" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and IoA (both are 1.0) met the EPA criteria mentioned in Sect. 2.6. The MB of the simulated WS10 at the Dongguan site was slightly underestimated (<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mtext>MB</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) with the RMSE and IoA meeting the EPA criteria.</p>
      <p id="d1e4841">Comparisons of simulated <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with hourly observations during
8–14 September 2017 are shown in Fig. S3, with statistical indices reported in Table S7. The simulated <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed a good performance in the PRD region, with NMB (<inline-formula><mml:math id="M275" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>4.8 %), NME (17.7 %), and <inline-formula><mml:math id="M276" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> (1.0) meeting the MEE criteria, while it was slightly underestimated at the NCYL site in Dongguan but still met the MEE criteria (<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mtext>NMB</mml:mtext><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mtext>NME</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">29.8</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>). Therefore, the simulation results of the meteorological parameters and <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are reasonable and reliable for further analysis.</p>
      <p id="d1e4930">Figure 10a shows the time series of simulated <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and the contributions of different processes to surface <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the NCYL site in Dongguan during 13–14 September 2017. During the night on 13 September, the <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration increased from 45 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 21:00 LT, reached the peak of 85 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> around 22:00 LT and dropped to 15 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 00:00 LT. Before 21:00 LT, the magnitude of the negative contribution of chemical processes to <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was greater than the positive contribution of vertical transport, resulting in net <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> depletion. This suggests that gas-phase chemistry processes such as NO titration are the main pathway for <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss at night. At 21:00 LT, the vertical and horizontal transport contribution increased abruptly by 48 and 27 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, while the chemical depletion remained constant. At this point, the net <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration turned from loss to production (51 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In terms of vertical distribution (Fig. 10b), a positive contribution of both vertical and horizontal transport can
be found at the surface, while vertical transport became negative in the
upper layers and horizontal transport remained positive, indicating the
occurrence of a downdraft. In addition, the wind profile showed a typical
LLJ characteristic (Fig. 10b), with a maximum wind speed of about 12 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 1 km altitude and a wind speed difference of more than 3 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> above and below. Figure 11 further presents the process of vertical transport during an NOI event. Compared to normal days, the nocturnal boundary layer during the NOI event was more unstable and turbulent, with significant upward and downward transport. At around 1 km, there was a straight stream over the NCYL site during the NOI event (Fig. 11b). This suggested that LLJs broke the stable structure between the nocturnal boundary layer and the RL and enhanced the strength of turbulence
(Caputi et al., 2019). The LLJ-induced turbulence promoted mixing between the upper and lower layers and continuously transported <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the upper layer to the surface, causing an unusual surge in <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the
surface and leading to an NOI event. As a result, the LLJ process contributed as much as 40 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the upper layer to the surface during this NOI event.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e5197">Contribution of individual processes to <bold>(a)</bold> hourly <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration near the surface during 13–14 September 2017 and <bold>(b)</bold> vertical <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration at 21:00 LT on 13 September 2017. VTRA: vertical transport, the net effect of vertical advection and diffusion; HTRA: horizontal transport, the net effect of horizontal advection and diffusion; CHEM: gas-phase chemistry; CLDS: cloud processes; DDEP: dry deposition; NET: the net change in <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to all atmospheric processes.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e5247">Vertical profiles of <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at 21:00 LT during <bold>(a)</bold> a normal day (12 September 2017) and <bold>(b)</bold> an NOI event (13 September 2017). Red triangles represent the NCYL site in Dongguan, contours represent <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and black lines and arrows indicate vertical airflow and its direction.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e5305">Correlation between <bold>(a)</bold> the afternoon's MDA8
<inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and the following night's NOP
concentration and <bold>(b)</bold> the NOP concentration and the following afternoon's MDA8
<inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/453/2023/acp-23-453-2023-f12.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS8">
  <label>3.8</label><title>Comparison and prospects</title>
      <p id="d1e5352">Zhu et al. (2020) identified an NOI event frequency of 16–19 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
in the summers from 2014 to 2015 in Beijing, China, with nocturnal <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
maxima ranging from 45 to 85 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is comparable to our
result of NOI frequency (14 <inline-formula><mml:math id="M310" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and slightly higher than
our NOP concentration (44 <inline-formula><mml:math id="M312" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in summer.
Sousa et al. (2011) analysed nocturnal <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maxima
events (maxima higher than the average nocturnal <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration of 10 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) during 2005–2007 in northern Portugal and found that the
frequencies of nocturnal <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maxima were between 40 % and 50 % in
urban areas and 15 % in rural areas, which is higher than our NOI
frequency (53 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 14.5 %). Other studies focusing on short-term
nocturnal <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> maxima cases found that NOP concentrations were 30–50 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the lower Fraser Valley, British Columbia, Canada
(Salmond and McKendry, 2002), 20–60 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in Senegal
(Grant et al., 2008), and 40–80 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in North
America (Kuang et al., 2011; Hu et al., 2013; Sullivan et al., 2017),
values that are comparable to our results (58 <inline-formula><mml:math id="M323" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e5618">Our study emphasises the importance of meteorological processes, as well as
daytime <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the occurrence of NOI events, implying that
higher NOP may occur during a severe daytime <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution period under
the effect of meteorological processes. The occurrence of NOI events is
likely to impact the <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels on the following day, which makes
<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> prevention more complex and challenging (Ravishankara, 2009;
Sullivan et al., 2017). However, the relationship between NOI events and the
following daytime <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution remains unclear and controversial.
Kuang et al. (2011) and Sullivan et al. (2017) revealed
that NOI events led to a higher increasing rate of <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and worse air
quality on the following day, while Klein et al. (2019) and
Caputi et al. (2019) observed lower <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels during the
daytime following NOI events. To further explore the relationship between
the daytime MDA8 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and nighttime NOP in the PRD region, we display the
correlation between the MDA8 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the following night's NOP
(shorthand MDA8–NOP) (Fig. 12a) and the NOP and the following MDA8 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(shorthand NOP–MDA8) (Fig. 12b), respectively. The results show that MDA8
<inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was positively correlated with NOP with a correlation coefficient of
0.63 (<inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and 0.56 (<inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) for MDA8–NOP and NOP–MDA8,
respectively, suggesting an interplay between daytime <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and NOP in the
PRD region.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d1e5789">In this study, based on observed surface and vertical <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data, ERA5 datasets and WRF-CMAQ simulations, the spatial and temporal characteristics of NOI events are comprehensively presented and the role of vertical transport in NOI events in the PRD region from 2006 to 2019 is further quantified.</p>
      <p id="d1e5803">The average annual frequency of NOI events is estimated to be 53 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
from 2006 to 2019, with an annual average of 58 <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for nocturnal <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak (NOP). LLJs are the dominant factors
causing NOI events (61 %), followed by the combination of LLJs and Conv
(LLJs+Conv) with a value of 16 %. The high correlation between NOI
events and the frequency of LLJs in the annual trend (<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) supports the important influence of LLJs on the occurrence of NOI
events. Although the contribution of Conv to NOI events is relatively small,
Conv-induced NOI events steadily increased at a rate of 0.26 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
during this 14 year period due to the impact of urbanisation. Moreover, the
significant positive correlation between NOP and maximum daily 8 h average
(MDA8) <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in annual (<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and seasonal trends
(<inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and a higher NOI frequency (60 %) during the
first half of the night imply that daytime <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are also
an important factor influencing the formation of NOI events.</p>
      <p id="d1e5980">Two typical NOI events caused by LLJs and Conv further
demonstrate that downdrafts from enhanced turbulence are the direct cause of
NOI events, as these can transport <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the RL to the surface. The
difference is that LLJs induce downdrafts by a fast-moving air mass
enhancing shear below, whereas Conv induce downdraft by compensating
downdrafts.</p>
      <p id="d1e5994">This study emphasises the importance of vertical transport induced by LLJs, Conv, and daytime <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the formation of NOI events
and highlights the key role of vertical transport in linking daytime and
nighttime <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution. This study provides not only a new perspective
and better understanding to reconceptualise the role of meteorology in
daytime and nighttime <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution but also a reference for
other regions with ground-level <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution.</p>
</sec>

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

      <p id="d1e6045">The observed hourly meteorological data at the nine sites across the PRD region can be downloaded from <uri>http://www.cma.gov.cn/</uri> (CMA, 2022). The ERA5 reanalysis dataset can be downloaded from <uri>https://cds.climate.copernicus.eu/cdsapp#!/home</uri> (Fifth-generation European Centre for Medium-Range Weather Forecasts, 2022). The vertical <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile data and the in situ hourly <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data at 16 stations across the PRD region from 2006 to 2019 are available upon request from the corresponding author Weihua Chen.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6076">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-23-453-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-23-453-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6085">YW and WC designed the research. YW did the data analysis and simulation work and prepared the draft with support and editing from WC. YY and QX contributed to data analysis. SJ and XW contributed to paper revision.</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6092">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="d1e6098">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6104">The authors gratefully acknowledge the AirQuip (High-resolution Air Quality Information for Policy) Project funded by the Research Council of Norway, the Collaborative Innovation Center of Climate Change, Jiangsu province, China, and the high-performance computing platform of Jinan University. The authors would like to thank Dani Caputi (University of California, Davis) and the other anonymous referee for their thoughtful comments and efforts towards improving the paper.</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6110">This research has been supported by the Key-Area Research and Development Program of Guangdong Province (grant no. 2020B1111360003), the National Natural Science Foundation of China (grant nos. 42121004, 42230701, 41905086, 41905107, 42077205, and 41425020), the Science and Technology Projects in Guangzhou (grant no. 202102080141), the Special Fund Project for Science and Technology Innovation Strategy of Guangdong Province (grant no. 2019B121205004), and the national Key Research and Development Program of China (grant no. 2019YFE0106300).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6117">This paper was edited by Jerome Brioude and reviewed by Dani Caputi and one anonymous referee.</p>
  </notes><?xmltex \hack{\newpage}?><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Ai, Y., Li, W., Meng, Z., and Li, J.: Life cycle characteristics of MCSs in middle east China tracked by geostationary satellite and precipitation estimates, Mon. Weather Rev., 144, 2517–2530,  <ext-link xlink:href="https://doi.org/10.1175/MWR-D-15-0197.1" ext-link-type="DOI">10.1175/MWR-D-15-0197.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 2?><mixed-citation>Awang, N. R., Ramli, N. A., Yahaya, A. S., and Elbayoumi, M.: High nighttime ground-level ozone concentrations in Kemaman: NO and <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations attributions, Aerosol Air Qual. Res., 15, 1357–1366,  <ext-link xlink:href="https://doi.org/10.4209/aaqr.2015.01.0031" ext-link-type="DOI">10.4209/aaqr.2015.01.0031</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 3?><mixed-citation>Banta, R. M., Newsom, R. K., Lundquist, J. K., Pichugina, Y. L., Coulter, R. L., and Mahrt, L.: Nocturnal low-level jet characteristics over Kansas during CASES-99, Bound.-Lay. Meteorol., 105, 221–252, <ext-link xlink:href="https://doi.org/10.1023/A:1019992330866" ext-link-type="DOI">10.1023/A:1019992330866</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 4?><mixed-citation>Brown, S. S., Neuman, J. A., Ryerson, T. B., Trainer, M., Dubé, W. P., Holloway, J. S., Warneke, C., de Gouw, J. A., Donnelly, S. G., Atlas, E., Matthew, B., Middlebrook, A. M., Peltier, R., Weber, R. J., Stohl, A.,  Meagher, J. F., Fehsenfeld, F. C., and Ravishankara, A. R.: Nocturnal odd-oxygen budget and its implications for ozone loss in the lower troposphere, Geophys. Res. Lett., 33, L08801, <ext-link xlink:href="https://doi.org/10.1029/2006GL025900" ext-link-type="DOI">10.1029/2006GL025900</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 5?><mixed-citation>Caird, M. A., Richards, J. H., and Donovan, L. A.: Nighttime stomatal conductance and transpiration in C3 and C4 plants, Plant Physiol., 143, 4–10,  <ext-link xlink:href="https://doi.org/10.1104/pp.106.092940" ext-link-type="DOI">10.1104/pp.106.092940</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 6?><mixed-citation>Caputi, D. J., Faloona, I., Trousdell, J., Smoot, J., Falk, N., and Conley, S.: Residual layer ozone, mixing, and the nocturnal jet in California's San Joaquin Valley, Atmos. Chem. Phys., 19, 4721–4740, <ext-link xlink:href="https://doi.org/10.5194/acp-19-4721-2019" ext-link-type="DOI">10.5194/acp-19-4721-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 7?><mixed-citation>Carlton, A. G., Bhave, P. V., Napelenok, S. L., Edney, E. O., Sarwar, G., Pinder, R. W., Pouliot, G. A., and Houyoux, M.: Model representation of secondary organic aerosol in CMAQv4.7, Environ. Sci. Technol., 44, 8553–8560, <ext-link xlink:href="https://doi.org/10.1021/es100636q" ext-link-type="DOI">10.1021/es100636q</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 8?><mixed-citation>Carré, J., Gatimel, N., Moreau, J., Parinaud, J., and Leandri, R.: Influence of air quality on the results of in vitro fertilization attempts: A retrospective study, Eur. J. Obstet. Gyn. R. B., 210, 116–122, <ext-link xlink:href="https://doi.org/10.1016/j.ejogrb.2016.12.012" ext-link-type="DOI">10.1016/j.ejogrb.2016.12.012</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 9?><mixed-citation>Carter, W. P. L.: Development of the SAPRC-07 chemical mechanism, Atmos. Environ., 44, 5324–5335, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2010.01.026" ext-link-type="DOI">10.1016/j.atmosenv.2010.01.026</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 10?><mixed-citation>Chen, F. and Dudhia, J.: Coupling an advanced land surface–hydrology model with the Penn State–NCAR MM5 modeling system. Part I: Model implementation and sensitivity, Mon. Weather Rev., 129, 569–585, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 11?><mixed-citation>Chen, X., Zhao, K., and Xue, M.: Spatial and temporal characteristics of warm season convection over Pearl River Delta region, China, based on 3 years of operational radar data, J. Geophys. Res.-Atmos., 119, 12447–12465,  <ext-link xlink:href="https://doi.org/10.1002/2014jd021965" ext-link-type="DOI">10.1002/2014jd021965</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 12?><mixed-citation>Chen, X., Zhong, B., Huang, F., Wang, X., Sarkar, S., Jia, S., Deng, X., Chen, D., and Shao, M.: The role of natural factors in constraining long-term tropospheric ozone trends over southern China, Atmos. Environ., 220, 117060,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.117060" ext-link-type="DOI">10.1016/j.atmosenv.2019.117060</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 13?><mixed-citation>Cirelli, D., Equiza, M. A., Lieffers, V. J., and Tyree, M. T.: <italic>Populus</italic> species from diverse habitats maintain high night-time conductance under drought, Tree Physiol., 36, 229–242, <ext-link xlink:href="https://doi.org/10.1093/treephys/tpv092" ext-link-type="DOI">10.1093/treephys/tpv092</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>CMA – China Meteorological Administration: National Meteorological Information Centre, <uri>http://www.cma.gov.cn/</uri>, last access: 10 February 2022.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 14?><mixed-citation>Dias-Junior, C. Q., Dias, N. L., Fuentes, J. D., and Chamecki, M.: Convective storms and non-classical low-level jets during high ozone level episodes in the Amazon region: An ARM/GOAMAZON case study, Atmos. Environ., 155, 199–209,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2017.02.006" ext-link-type="DOI">10.1016/j.atmosenv.2017.02.006</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 15?><mixed-citation>Du, Y. and Chen, G.: Heavy rainfall associated with double low-level jets over southern China. Part II: Convection initiation, Mon. Weather Rev., 147, 543–565,  <ext-link xlink:href="https://doi.org/10.1175/mwr-d-18-0102.1" ext-link-type="DOI">10.1175/mwr-d-18-0102.1</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 16?><mixed-citation>Emmons, L. K., Walters, S., Hess, P. G., Lamarque, J.-F., Pfister, G. G., Fillmore, D., Granier, C., Guenther, A., Kinnison, D., Laepple, T., Orlando, J., Tie, X., Tyndall, G., Wiedinmyer, C., Baughcum, S. L., and Kloster, S.: Description and evaluation of the Model for Ozone and Related chemical Tracers, version 4 (MOZART-4), Geosci. Model Dev., 3, 43–67, <ext-link xlink:href="https://doi.org/10.5194/gmd-3-43-2010" ext-link-type="DOI">10.5194/gmd-3-43-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 17?><mixed-citation>EPA: Guidance on the use of models and other analyses for demonstrating attainment of air quality goals for ozone, PM<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and regional haze, <uri>https://www.epa.gov/sites/default/files/2020-10/documents/final-03-pm-rh-guidance.pdf</uri> (last access: 10 February 2022), 2017.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 19?><mixed-citation>Fan, X., Xia, X., Chen, H., Zhu, Y., Li, J., Yang, H., and Luo, H.: Baseline of Surface and Column-Integrated Aerosol Loadings in the Pearl River Delta Region, China, Front. Environ. Sci., 10, 574, <ext-link xlink:href="https://doi.org/10.3389/fenvs.2022.893408" ext-link-type="DOI">10.3389/fenvs.2022.893408</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 18?><mixed-citation>Fast, J. D. and McCorcle, M. D.: A two-dimensional numerical sensitivity study of the Great Plains low-level jet, Mon. Weather Rev., 118, 151–164,  <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1990)118&lt;0151:ATDNSS&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1990)118&lt;0151:ATDNSS&gt;2.0.CO;2</ext-link>, 1990.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 20?><mixed-citation>Feng, Y., Ning, M., Lei, Y., Sun, Y., Liu, W., and Wang, J.: Defending blue sky in China: Effectiveness of the “Air Pollution Prevention and Control Action Plan” on air quality improvements from 2013 to 2017, J. Environ. Manage., 252, 109603,  <ext-link xlink:href="https://doi.org/10.1016/j.jenvman.2019.109603" ext-link-type="DOI">10.1016/j.jenvman.2019.109603</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Fifth-generation European Centre for Medium-Range Weather Forecasts: ERA5 hourly data on pressure levels from 1959 to present, <uri>https://cds.climate.copernicus.eu/cdsapp#!/home</uri>, last access: 10 February 2022.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 21?><mixed-citation>George, J. J.: Weather forecasting for aeronautics, Academic Press, <ext-link xlink:href="https://doi.org/10.1016/C2013-0-12567-6" ext-link-type="DOI">10.1016/C2013-0-12567-6</ext-link>, 1960.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 22?><mixed-citation>Gong, D., Wang, H., Zhang, S., Wang, Y., Liu, S. C., Guo, H., Shao, M., He, C., Chen, D., He, L., Zhou, L., Morawska, L., Zhang, Y., and Wang, B.: Low-level summertime isoprene observed at a forested mountaintop site in southern China: implications for strong regional atmospheric oxidative capacity, Atmos. Chem. Phys., 18, 14417–14432, <ext-link xlink:href="https://doi.org/10.5194/acp-18-14417-2018" ext-link-type="DOI">10.5194/acp-18-14417-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 23?><mixed-citation>Grant, D. D., Fuentes, J. D., DeLonge, M. S., Chan, S., Joseph, E., Kucera, P., Ndiaye, S. A., and Gaye, A. T.: Ozone transport by mesoscale convective storms in western Senegal, Atmos. Environ., 42, 7104–7114,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2008.05.044" ext-link-type="DOI">10.1016/j.atmosenv.2008.05.044</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 24?><mixed-citation>Grell, G. A. and Dévényi, D.: A generalized approach to parameterizing convection combining ensemble and data assimilation techniques, Geophys. Res. Lett., 29, 381–384, <ext-link xlink:href="https://doi.org/10.1029/2002gl015311" ext-link-type="DOI">10.1029/2002gl015311</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 25?><mixed-citation>Guenther, A., Karl, T., Harley, P., Wiedinmyer, C., Palmer, P. I., and Geron, C.: Estimates of global terrestrial isoprene emissions using MEGAN (Model of Emissions of Gases and Aerosols from Nature), Atmos. Chem. Phys., 6, 3181–3210, <ext-link xlink:href="https://doi.org/10.5194/acp-6-3181-2006" ext-link-type="DOI">10.5194/acp-6-3181-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 26?><mixed-citation>Han, C., Liu, R., Luo, H., Li, G., Ma, S., Chen, J., and An, T.: Pollution profiles of volatile organic compounds from different urban functional areas in Guangzhou China based on GC/MS and PTR-TOF-MS: Atmospheric environmental implications, Atmos. Environ., 214, 116843,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.116843" ext-link-type="DOI">10.1016/j.atmosenv.2019.116843</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 27?><mixed-citation>He, Y., Wang, H., Wang, H., Xu, X., Li, Y., and Fan, S.: Meteorology and topographic influences on nocturnal ozone increase during the summertime over Shaoguan, China, Atmos. Environ., 256, 118459,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2021.118459" ext-link-type="DOI">10.1016/j.atmosenv.2021.118459</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 28?><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J. N.: The ERA5 global reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, <ext-link xlink:href="https://doi.org/10.1002/qj.3803" ext-link-type="DOI">10.1002/qj.3803</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 29?><mixed-citation>HKEPD: Pearl River Delta Regional Air Quality Monitoring Report for Year 2017, <uri>https://www.epd.gov.hk/epd/sites/default/files/epd/english/resources_pub/publications/files/PRD_2017_report_en.pdf</uri> (last access: 10 February 2022), 2017.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 30?><mixed-citation>Hodges, D. and Pu, Z. X.: Characteristics and variations of low-level jets and environmental factors associated with summer precipitation extremes over the Great Plains, J. Climate, 32, 5123–5144,  <ext-link xlink:href="https://doi.org/10.1175/jcli-d-18-0553.1" ext-link-type="DOI">10.1175/jcli-d-18-0553.1</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 31?><mixed-citation>Hu, X. M., Klein, P. M., Xue, M., Zhang, F., Doughty, D. C., Forkel, R., Joseph, E., and Fuentes, J. D.: Impact of the vertical mixing induced by low-level jets on boundary layer ozone concentration, Atmos. Environ., 70, 123–130,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2012.12.046" ext-link-type="DOI">10.1016/j.atmosenv.2012.12.046</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 32?><mixed-citation>Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the AER radiative transfer models, J. Geophys. Res.-Atmos., 113, D13103, <ext-link xlink:href="https://doi.org/10.1029/2008jd009944" ext-link-type="DOI">10.1029/2008jd009944</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 33?><mixed-citation>Jacob, D. J.: Heterogeneous chemistry and tropospheric ozone, Atmos. Environ., 34, 2131–2159,  <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(99)00462-8" ext-link-type="DOI">10.1016/S1352-2310(99)00462-8</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 34?><mixed-citation>Jain, S. L., Arya, B. C., Kumar, A., Ghude, S. D., and Kulkarni, P. S.: Observational study of surface ozone at New Delhi, India, Int. J. Remote Sens., 26, 3515–3524,  <ext-link xlink:href="https://doi.org/10.1080/01431160500076616" ext-link-type="DOI">10.1080/01431160500076616</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 35?><mixed-citation>Jiménez, P., Parra, R., and Baldasano, J. M.: Influence of initial and boundary conditions for ozone modeling in very complex terrains: A case study in the northeastern Iberian Peninsula, Environ. Modell. Softw., 22, 1294–1306, <ext-link xlink:href="https://doi.org/10.1016/j.envsoft.2006.08.004" ext-link-type="DOI">10.1016/j.envsoft.2006.08.004</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 36?><mixed-citation> Johnson, D. L.: A stability analysis of AVE-IV severe weather sounding, NASA Tech. Paper, 2045–2126, <uri>https://ntrs.nasa.gov/citations/19830006553</uri>
(last access: 10 February 2022), 1982.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 37?><mixed-citation>Kallistratova, M. A.: Investigation of low-level-jets over rural and urban areas using two sodars, IOP C. Ser. Earth Env., 1, 012040,  <ext-link xlink:href="https://doi.org/10.1088/1755-1315/1/1/012040" ext-link-type="DOI">10.1088/1755-1315/1/1/012040</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 38?><mixed-citation>Klein, A., Ravetta, F., Thomas, J. L., Ancellet, G., Augustin, P., Wilson, R., Dieudonné, E., Fourmentin, M., Delbarre, H., and Pelon, J.: Influence of vertical mixing and nighttime transport on surface ozone variability in the morning in Paris and the surrounding region, Atmos. Environ., 197, 92–102, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.10.009" ext-link-type="DOI">10.1016/j.atmosenv.2018.10.009</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 39?><mixed-citation>Kleinman, L., Lee, Y. N., Springston, S. R., Nunnermacker, L., Zhou, X., Brown, R., Hallock, K., Klotz, P., Leahy, D., and Lee, J. H.: Ozone formation at a rural site in the southeastern United States, J. Geophys. Res.-Atmos., 99, 3469–3482,  <ext-link xlink:href="https://doi.org/10.1029/93JD02991" ext-link-type="DOI">10.1029/93JD02991</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 40?><mixed-citation>Kuang, S., Newchurch, M. J., Burris, J., Wang, L., Buckley, P. I., Johnson, S., Knupp, K., Huang, G., Phillips, D., and Cantrell, W.: Nocturnal ozone enhancement in the lower troposphere observed by lidar, Atmos. Environ., 45, 6078–6084,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2011.07.038" ext-link-type="DOI">10.1016/j.atmosenv.2011.07.038</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 41?><mixed-citation>Kulkarni, P. S., Bortoli, D., and Silva, A. M.: Nocturnal surface ozone enhancement and trend over urban and suburban sites in Portugal, Atmos. Environ., 71, 251–259,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2013.01.051" ext-link-type="DOI">10.1016/j.atmosenv.2013.01.051</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 42?><mixed-citation>Kulkarni, P. S., Bortoli, D., Silva, A. M., and Reeves, C. E.: Enhancements in nocturnal surface ozone at urban sites in the UK, Environ. Sci. Pollut. R., 22, 20295–20305,  <ext-link xlink:href="https://doi.org/10.1007/s11356-015-5259-z" ext-link-type="DOI">10.1007/s11356-015-5259-z</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 43?><mixed-citation>Kurt, O. K., Zhang, J., and Pinkerton, K. E.: Pulmonary health effects of air pollution, Curr. Opin. Pulm. Med., 22, 138–143,  <ext-link xlink:href="https://doi.org/10.1097/MCP.0000000000000248" ext-link-type="DOI">10.1097/MCP.0000000000000248</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 45?><mixed-citation>Li, K., Jacob, D. J., Liao, H., Zhu, J., Shah, V., Shen, L., Bates, K. H., Zhang, Q., and Zhai, S.: A two-pollutant strategy for improving ozone and particulate air quality in China, Nat. Geosci., 12, 906–910, <ext-link xlink:href="https://doi.org/10.1038/s41561-019-0464-x" ext-link-type="DOI">10.1038/s41561-019-0464-x</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 44?><mixed-citation>Li, M., Liu, H., Geng, G., Hong, C., Liu, F., Song, Y., Tong, D., Zheng, B., Cui, H., Man, H., Zhang, Q., and He, K.: Anthropogenic emission inventories in China: a review, Natl. Sci. Rev., 4, 834–866,  <ext-link xlink:href="https://doi.org/10.1093/nsr/nwx150" ext-link-type="DOI">10.1093/nsr/nwx150</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 47?><mixed-citation>Li, X. B., Yuan, B., Parrish, D. D., Chen, D., Song, Y., Yang, S., Liu, Z., and Shao, M.: Long-term trend of ozone in southern China reveals future mitigation strategy for air pollution, Atmos. Environ., 269, 118869,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2021.118869" ext-link-type="DOI">10.1016/j.atmosenv.2021.118869</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 46?><mixed-citation>Li, Y., Wang, W., Chang, M., and Wang, X.: Impacts of urbanization on extreme precipitation in the Guangdong-Hong Kong-Macau Greater Bay Area, Urban Clim., 38, 100904,  <ext-link xlink:href="https://doi.org/10.1016/j.uclim.2021.100904" ext-link-type="DOI">10.1016/j.uclim.2021.100904</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 48?><mixed-citation>Liao, Z., Ling, Z., Gao, M., Sun, J., Zhao, W., Ma, P., Quan, J., and Fan, S.: Tropospheric ozone variability over Hong Kong based on recent 20 years (2000–2019) ozonesonde observation, J. Geophys. Res.-Atmos., 126, e2020JD033054,  <ext-link xlink:href="https://doi.org/10.1029/2020jd033054" ext-link-type="DOI">10.1029/2020jd033054</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 49?><mixed-citation>Lin, Y., Farley, R. D., and Orville, H. D.: Bulk parameterization of the snow field in a cloud model, J. Appl. Meteorol. Clim., 22, 1065–1092,  <ext-link xlink:href="https://doi.org/10.1175/1520-0450(1983)022&lt;1065:BPOTSF&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0450(1983)022&lt;1065:BPOTSF&gt;2.0.CO;2</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 50?><mixed-citation>Liu, H., Zhang, M., and Han, X.: A review of surface ozone source apportionment in China, Atmos. Ocean. Sci. Lett., 13, 470–484, <ext-link xlink:href="https://doi.org/10.1080/16742834.2020.1768025" ext-link-type="DOI">10.1080/16742834.2020.1768025</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 51?><mixed-citation>Liu, X. H., Zhang, Y., Xing, J., Zhang, Q., Wang, K., Streets, D. G., Jang, C., Wang, W., and Hao, J. M.: Understanding of regional air pollution over China using CMAQ, part II. Process analysis and sensitivity of ozone and particulate matter to precursor emissions, Atmos. Environ., 44, 3719–3727,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2010.03.036" ext-link-type="DOI">10.1016/j.atmosenv.2010.03.036</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 52?><mixed-citation>Lu, K., Zhang, Y., Su, H., Shao, M., Zeng, L., Zhong, L., Xiang, Y., Chang, C., Chou, C. K. C., and Wahner, A.: Regional ozone pollution and key controlling factors of photochemical ozone production in Pearl River Delta during summer time, Sci. China Chem., 53, 651–663,  <ext-link xlink:href="https://doi.org/10.1007/s11426-010-0055-6" ext-link-type="DOI">10.1007/s11426-010-0055-6</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 53?><mixed-citation>Lu, X., Zhang, L., Wang, X., Gao, M., Li, K., Zhang, Y., Yue, X., and Zhang, Y.: Rapid increases in warm-season surface ozone and resulting health impact in China since 2013, Environ. Sci. Tech. Let., 7, 240–247,  <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.0c00171" ext-link-type="DOI">10.1021/acs.estlett.0c00171</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 58?><mixed-citation>Ma, Z., Xu, J., Quan, W., Zhang, Z., Lin, W., and Xu, X.: Significant increase of surface ozone at a rural site, north of eastern China, Atmos. Chem. Phys., 16, 3969–3977, <ext-link xlink:href="https://doi.org/10.5194/acp-16-3969-2016" ext-link-type="DOI">10.5194/acp-16-3969-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 54?><mixed-citation>Mann, H. B.: Nonparametric tests against trend, Econometrica, 13, 245–259, <ext-link xlink:href="https://doi.org/10.2307/1907187" ext-link-type="DOI">10.2307/1907187</ext-link>, 1945.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 61?><mixed-citation>Mao, J., Yan, F., Zheng, L., You, Y., Wang, W., Jia, S., Liao, W., Wang, X., and Chen, W.: Ozone control strategies for local formation- and regional transport-dominant scenarios in a manufacturing city in southern China, Sci. Total Environ., 813, 151883,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.151883" ext-link-type="DOI">10.1016/j.scitotenv.2021.151883</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 59?><mixed-citation>Marelle, L., Myhre, G., Steensen, B. M., Hodnebrog, Ø., Alterskjær, K., and Sillmann, J.: Urbanization in megacities increases the frequency of extreme precipitation events far more than their intensity, Environ. Res. Lett., 15, 124072, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/abcc8f" ext-link-type="DOI">10.1088/1748-9326/abcc8f</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 56?><mixed-citation>McCorcle, M. D.: Simulation of surface-moisture effects on the Great Plains low-level jet, Mon. Weather Rev., 116, 1705–1720, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1988)116&lt;1705:SOSMEO&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1988)116&lt;1705:SOSMEO&gt;2.0.CO;2</ext-link>, 1988.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 57?><mixed-citation>MEE: The Ministry of Ecology and Environment of People's Republic of China, Guidelines for selection of ambient air quality models (Trial), <uri>https://english.mee.gov.cn/Resources/standards/Air_Environment/quality_standard1/201605/t20160511_337502.shtml</uri> (lass access: 10 February 2022), 2015.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 55?><mixed-citation>Monin, A. S. and Obukhov, A. M.: Basic laws of turbulent mixing in the surface layer of the atmosphere, Contrib. Geophys. Inst. Acad. Sci. USSR, 151, e187, <uri>https://gibbs.science/efd/handouts/monin_obukhov_1954.pdf</uri> (last access: 10 February 2022), 1954.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 60?><mixed-citation>Mousavinezhad, S., Choi, Y., Pouyaei, A., Ghahremanloo, M., and Nelson, D. L.: A comprehensive investigation of surface ozone pollution in China, 2015–2019: Separating the contributions from meteorology and precursor emissions, Atmos. Res., 257, 105599,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2021.105599" ext-link-type="DOI">10.1016/j.atmosres.2021.105599</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 62?><mixed-citation>Nair, P. R., Chand, D., Lal, S., Modh, K. S., Naja, M., Parameswaran, K., Ravindran, S., and Venkataramani, S.: Temporal variations in surface ozone at Thumba (8.6<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 77<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) – a tropical coastal site in India, Atmos. Environ., 36, 603–610, <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(01)00527-1" ext-link-type="DOI">10.1016/S1352-2310(01)00527-1</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 63?><mixed-citation>Nakanishi, M. and Niino, H.: An improved Mellor–Yamada Level-3 model: Its numerical stability and application to a regional prediction of advection fog, Bound.-Lay. Meteorol., 119, 397–407,  <ext-link xlink:href="https://doi.org/10.1007/s10546-005-9030-8" ext-link-type="DOI">10.1007/s10546-005-9030-8</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 65?><mixed-citation>Nikolic, J., Zhong, S., Pei, L., Bian, X., Heilman, W. E., and Charney, J. J.: Sensitivity of low-level jets to land-use and land-cover change over the continental US, Atmosphere, 10, 174,  <ext-link xlink:href="https://doi.org/10.3390/atmos10040174" ext-link-type="DOI">10.3390/atmos10040174</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 64?><mixed-citation>Olauson, J.: ERA5: The new champion of wind power modelling?, Renew. Energ., 126, 322–331,  <ext-link xlink:href="https://doi.org/10.1016/j.renene.2018.03.056" ext-link-type="DOI">10.1016/j.renene.2018.03.056</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 67?><mixed-citation>Ploeger, F., Diallo, M., Charlesworth, E., Konopka, P., Legras, B., Laube, J. C., Grooß, J.-U., Günther, G., Engel, A., and Riese, M.: The stratospheric Brewer–Dobson circulation inferred from age of air in the ERA5 reanalysis, Atmos. Chem. Phys., 21, 8393–8412, <ext-link xlink:href="https://doi.org/10.5194/acp-21-8393-2021" ext-link-type="DOI">10.5194/acp-21-8393-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 66?><mixed-citation>Prtenjak, M. T., Jerièeviæ, A., Klaiæ, Z. B., Alebiæ-Juretiæ, A., and Buliæ, I. H.: Atmospheric dynamics and elevated ozone concentrations in the northern Adriatic, Meteorol. Appl., 20, 482–496, <ext-link xlink:href="https://doi.org/10.1002/met.1312" ext-link-type="DOI">10.1002/met.1312</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 68?><mixed-citation>Ravishankara, A. R.: Are chlorine atoms significant tropospheric free radicals?, P. Natl. Acad. Sci. USA, 106, 13639–13640,  <ext-link xlink:href="https://doi.org/10.1073/pnas.0907089106" ext-link-type="DOI">10.1073/pnas.0907089106</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 69?><mixed-citation>Salmond, J. A. and McKendry, I. G.: Secondary ozone maxima in a very stable nocturnal boundary layer: Observations from the Lower Fraser Valley, BC, Atmos. Environ., 36, 5771–5782,  <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(02)00698-2" ext-link-type="DOI">10.1016/S1352-2310(02)00698-2</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 70?><mixed-citation>Seibert, P., Feldmann, H., Neininger, B., Baumle, M., and Trickl, T.: South foehn and ozone in the Eastern Alps – case study and climatological aspects, Atmos. Environ., 34, 1379–1394,  <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(99)00439-2" ext-link-type="DOI">10.1016/S1352-2310(99)00439-2</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 71?><mixed-citation>Sen, P. K.: Estimates of the regression coefficient based on Kendall's tau, J. Am. Stat. Assoc., 63, 1379–1389,  <ext-link xlink:href="https://doi.org/10.2307/2285891" ext-link-type="DOI">10.2307/2285891</ext-link>, 1968.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 72?><mixed-citation>Seto, K. C., Guneralp, B., and Hutyra, L. R.: Global forecasts of urban expansion to 2030 and direct impacts on biodiversity and carbon pools, P. Natl. Acad. Sci. USA, 109, 16083–16088,  <ext-link xlink:href="https://doi.org/10.1073/pnas.1211658109" ext-link-type="DOI">10.1073/pnas.1211658109</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 73?><mixed-citation>Shen, J., Zhang, Y., Wang, X., Li, J., Chen, H., Liu, R., Zhong, L., Jiang, M., Yue, D., Chen, D., and Lv, W.: An ozone episode over the Pearl River Delta in October 2008, Atmos. Environ., 122, 852–863,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.03.036" ext-link-type="DOI">10.1016/j.atmosenv.2015.03.036</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 74?><mixed-citation>Shith, S., Awang, N. R., Latif, M. T., and Ramli, N. A.: Fluctuations in nighttime ground-level ozone concentrations during haze events in Malaysia, Air Qual. Atmos. Hlth., 14, 19–26,  <ext-link xlink:href="https://doi.org/10.1007/s11869-020-00908-5" ext-link-type="DOI">10.1007/s11869-020-00908-5</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><?label 75?><mixed-citation>Sousa, S. I. V., Alvim-Ferraz, M. C. M., and Martins, F. G.: Identification and origin of nocturnal ozone maxima at urban and rural areas of northern Portugal – Influence of horizontal transport, Atmos. Environ., 45, 942–956,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2010.11.008" ext-link-type="DOI">10.1016/j.atmosenv.2010.11.008</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 77?><mixed-citation>
Stull, R. B.: An introduction to boundary layer meteorology, Springer Science and Business Media, ISBN 978-94-009-3027-8, 1988.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 76?><mixed-citation>Sugimoto, N., Nishizawa, T., Liu, X., Matsui, I., Shimizu, A., Zhang, Y., Kim, Y. J., Li, R., and Liu, J.: Continuous observations of aerosol profiles with a two-wavelength Mie-scattering lidar in Guangzhou in PRD2006, J. Appl. Meteorol. Clim., 48, 1822–1830,  <ext-link xlink:href="https://doi.org/10.1175/2009JAMC2089.1" ext-link-type="DOI">10.1175/2009JAMC2089.1</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 78?><mixed-citation>Sullivan, J. T., Rabenhorst, S. D., Dreessen, J., McGee, T. J., Delgado, R., Twigg, L., and Sumnicht, G.: Lidar observations revealing transport of <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the presence of a nocturnal low-level jet: Regional implications for “next-day” pollution, Atmos. Environ., 158, 160–171,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2017.03.039" ext-link-type="DOI">10.1016/j.atmosenv.2017.03.039</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 79?><mixed-citation>Tong, N. Y. O. and Leung, D. Y. C.: Ozone diurnal characteristics in areas with different urbanisations, Int. J. Environ. Pollut., 49, 100–124,  <ext-link xlink:href="https://doi.org/10.1504/Ijep.2012.049771" ext-link-type="DOI">10.1504/Ijep.2012.049771</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 80?><mixed-citation>Trier, S. B., Wilson, J. W., Ahijevych, D. A., and Sobash, R. A.: Mesoscale vertical motions near nocturnal convection initiation in PECAN, Mon. Weather Rev., 145, 2919–2941,  <ext-link xlink:href="https://doi.org/10.1175/mwr-d-17-0005.1" ext-link-type="DOI">10.1175/mwr-d-17-0005.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><?label 81?><mixed-citation>Udina, M., Soler, M. R., Olid, M., Jiménez-Esteve, B., and Bech, J.: Pollutant vertical mixing in the nocturnal boundary layer enhanced by density currents and low-level jets: Two representative case studies, Bound.-Lay. Meteorol., 174, 203–230, <ext-link xlink:href="https://doi.org/10.1007/s10546-019-00483-y" ext-link-type="DOI">10.1007/s10546-019-00483-y</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><?label 82?><mixed-citation>Wang, T., Wei, X. L., Ding, A. J., Poon, C. N., Lam, K. S., Li, Y. S., Chan, L. Y., and Anson, M.: Increasing surface ozone concentrations in the background atmosphere of Southern China, 1994–2007, Atmos. Chem. Phys., 9, 6217–6227, <ext-link xlink:href="https://doi.org/10.5194/acp-9-6217-2009" ext-link-type="DOI">10.5194/acp-9-6217-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><?label 85?><mixed-citation>Wang, T., Xue, L., Brimblecombe, P., Lam, Y. F., Li, L., and Zhang, L.: Ozone pollution in China: A review of concentrations, meteorological influences, chemical precursors, and effects, Sci. Total Environ., 575, 1582–1596,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2016.10.081" ext-link-type="DOI">10.1016/j.scitotenv.2016.10.081</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><?label 87?><mixed-citation>Wang, T., Dai, J., Lam, K. S., Nan Poon, C., and Brasseur, G. P.: Twenty-five years of lower tropospheric ozone observations in tropical East Asia: The influence of emissions and weather patterns, Geophys. Res. Lett., 46, 11463–11470, <ext-link xlink:href="https://doi.org/10.1029/2019GL084459" ext-link-type="DOI">10.1029/2019GL084459</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><?label 83?><mixed-citation>Wang, X., Zhang, Y., Hu, Y., Zhou, W., Lu, K., Zhong, L., Zeng, L., Shao, M., Hu, M., and Russell, A. G.: Process analysis and sensitivity study of regional ozone formation over the Pearl River Delta, China, during the PRIDE-PRD2004 campaign using the Community Multiscale Air Quality modeling system, Atmos. Chem. Phys., 10, 4423–4437, <ext-link xlink:href="https://doi.org/10.5194/acp-10-4423-2010" ext-link-type="DOI">10.5194/acp-10-4423-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><?label 84?><mixed-citation>Wang, X., Situ, S., Guenther, A., Chen, F. E. I., Wu, Z., Xia, B., and Wang, T.: Spatiotemporal variability of biogenic terpenoid emissions in Pearl River Delta, China, with high-resolution land-cover and meteorological data, Tellus B, 63, 241–254,  <ext-link xlink:href="https://doi.org/10.1111/j.1600-0889.2010.00523.x" ext-link-type="DOI">10.1111/j.1600-0889.2010.00523.x</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><?label 88?><mixed-citation>Wu, X., Yuan, T., Qie, K., and Luo, J.: Geographical distribution of extreme deep and intense convective storms on Earth, Atmos. Res., 235, 104789,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2019.104789" ext-link-type="DOI">10.1016/j.atmosres.2019.104789</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><?label 86?><mixed-citation>Wyat Appel, K., Napelenok, S., Hogrefe, C., Pouliot, G., Foley, K. M., Roselle, S. J., Pleim, J. E., Bash, J., Pye, H. O. T., Heath, N., Murphy, B., and Mathur, R.: Overview and evaluation of the Community Multiscale Air Quality (CMAQ) modeling system version 5.2, in: Air Pollution Modeling and its Application XXV, Springer Proceedings in Complexity, Springer, 69–73, <ext-link xlink:href="https://doi.org/10.1007/978-3-319-57645-9_11" ext-link-type="DOI">10.1007/978-3-319-57645-9_11</ext-link>, 2018.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib91"><label>91</label><?label 89?><mixed-citation>Xue, L., Wang, T., Louie, P. K., Luk, C. W., Blake, D. R., and Xu, Z.: Increasing external effects negate local efforts to control ozone air pollution: A case study of Hong Kong and implications for other Chinese cities, Environ. Sci. Technol., 48, 10769–10775,  <ext-link xlink:href="https://doi.org/10.1021/es503278g" ext-link-type="DOI">10.1021/es503278g</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><?label 90?><mixed-citation>Yang, C., Li, Q., Hu, Z., Chen, J., Shi, T., Ding, K., and Wu, G.: Spatiotemporal evolution of urban agglomerations in four major bay areas of US, China and Japan from 1987 to 2017: Evidence from remote sensing images, Sci. Total Environ., 671, 232–247,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2019.03.154" ext-link-type="DOI">10.1016/j.scitotenv.2019.03.154</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><?label 91?><mixed-citation>Yang, L., Luo, H., Yuan, Z., Zheng, J., Huang, Z., Li, C., Lin, X., Louie, P. K. K., Chen, D., and Bian, Y.: Quantitative impacts of meteorology and precursor emission changes on the long-term trend of ambient ozone over the Pearl River Delta, China, and implications for ozone control strategy, Atmos. Chem. Phys., 19, 12901–12916, <ext-link xlink:href="https://doi.org/10.5194/acp-19-12901-2019" ext-link-type="DOI">10.5194/acp-19-12901-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><?label 92?><mixed-citation>Yue, X., Unger, N., Harper, K., Xia, X., Liao, H., Zhu, T., Xiao, J., Feng, Z., and Li, J.: Ozone and haze pollution weakens net primary productivity in China, Atmos. Chem. Phys., 17, 6073–6089, <ext-link xlink:href="https://doi.org/10.5194/acp-17-6073-2017" ext-link-type="DOI">10.5194/acp-17-6073-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><?label 93?><mixed-citation>Yusoff, M. F., Latif, M. T., Juneng, L., Khan, M. F., Ahamad, F., Chung, J. X., and Mohtar, A. A. A.: Spatio-temporal assessment of nocturnal surface ozone in Malaysia, Atmos. Environ., 207, 105–116,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.03.023" ext-link-type="DOI">10.1016/j.atmosenv.2019.03.023</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><?label 96?><mixed-citation>Zheng, B., Tong, D., Li, M., Liu, F., Hong, C., Geng, G., Li, H., Li, X., Peng, L., Qi, J., Yan, L., Zhang, Y., Zhao, H., Zheng, Y., He, K., and Zhang, Q.: Trends in China's anthropogenic emissions since 2010 as the consequence of clean air actions, Atmos. Chem. Phys., 18, 14095–14111, <ext-link xlink:href="https://doi.org/10.5194/acp-18-14095-2018" ext-link-type="DOI">10.5194/acp-18-14095-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib97"><label>97</label><?label 95?><mixed-citation>Zhang, B., Li, J., Wang, M., Duan, P., and Li, C.: Using DMSP/OLS and NPP/VIIRS images to analyze the expansion of 21 urban agglomerations in mainland China, J. Urban Plan. Dev., 147, 04021024, <ext-link xlink:href="https://doi.org/10.1061/(asce)up.1943-5444.0000690" ext-link-type="DOI">10.1061/(asce)up.1943-5444.0000690</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><?label 94?><mixed-citation>Zhang, R., Lei, W., Tie, X., and Hess, P.: Industrial emissions cause extreme urban ozone diurnal variability, P. Natl. Acad. Sci. USA, 101, 6346–6350,  <ext-link xlink:href="https://doi.org/10.1073/pnas.0401484101" ext-link-type="DOI">10.1073/pnas.0401484101</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><?label 97?><mixed-citation>Zhong, Z., Zheng, J., Zhu, M., Huang, Z., Zhang, Z., Jia, G., Wang, X., Bian, Y., Wang, Y., and Li, N.: Recent developments of anthropogenic air pollutant emission inventories in Guangdong province, China, Sci. Total Environ., 627, 1080–1092,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2018.01.268" ext-link-type="DOI">10.1016/j.scitotenv.2018.01.268</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib100"><label>100</label><?label 99?><mixed-citation>Zhu, X. W., Ma, Z. Q., Li, Z. M., Wu, J., Guo, H., Yin, X. M., Ma, X. H., and Qiao, L.: Impacts of meteorological conditions on nocturnal surface ozone enhancement during the summertime in Beijing, Atmos. Environ., 225, 117368,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.117368" ext-link-type="DOI">10.1016/j.atmosenv.2020.117368</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib101"><label>101</label><?label 98?><mixed-citation>Ziemann, A., Starke, M., and Leiding, T.: Sensitivity of nocturnal low-level jets to land-use parameters and meteorological quantities, Adv. Sci. Res., 16, 85–93, <ext-link xlink:href="https://doi.org/10.5194/asr-16-85-2019" ext-link-type="DOI">10.5194/asr-16-85-2019</ext-link>, 2019.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Quantitative impacts of vertical transport on the long-term trend of nocturnal ozone increase over the  Pearl River Delta region during 2006–2019</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Ai, Y., Li, W., Meng, Z., and Li, J.: Life cycle characteristics of MCSs in middle east China tracked by geostationary satellite and precipitation estimates, Mon. Weather Rev., 144, 2517–2530,  <a href="https://doi.org/10.1175/MWR-D-15-0197.1" target="_blank">https://doi.org/10.1175/MWR-D-15-0197.1</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation> Awang, N. R., Ramli, N. A., Yahaya, A. S., and Elbayoumi, M.: High nighttime ground-level ozone concentrations in Kemaman: NO and NO<sub>2</sub> concentrations attributions, Aerosol Air Qual. Res., 15, 1357–1366,  <a href="https://doi.org/10.4209/aaqr.2015.01.0031" target="_blank">https://doi.org/10.4209/aaqr.2015.01.0031</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation> Banta, R. M., Newsom, R. K., Lundquist, J. K., Pichugina, Y. L., Coulter, R. L., and Mahrt, L.: Nocturnal low-level jet characteristics over Kansas during CASES-99, Bound.-Lay. Meteorol., 105, 221–252, <a href="https://doi.org/10.1023/A:1019992330866" target="_blank">https://doi.org/10.1023/A:1019992330866</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Brown, S. S., Neuman, J. A., Ryerson, T. B., Trainer, M., Dubé, W. P., Holloway, J. S., Warneke, C., de Gouw, J. A., Donnelly, S. G., Atlas, E., Matthew, B., Middlebrook, A. M., Peltier, R., Weber, R. J., Stohl, A.,  Meagher, J. F., Fehsenfeld, F. C., and Ravishankara, A. R.: Nocturnal odd-oxygen budget and its implications for ozone loss in the lower troposphere, Geophys. Res. Lett., 33, L08801, <a href="https://doi.org/10.1029/2006GL025900" target="_blank">https://doi.org/10.1029/2006GL025900</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation> Caird, M. A., Richards, J. H., and Donovan, L. A.: Nighttime stomatal conductance and transpiration in C3 and C4 plants, Plant Physiol., 143, 4–10,  <a href="https://doi.org/10.1104/pp.106.092940" target="_blank">https://doi.org/10.1104/pp.106.092940</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation> Caputi, D. J., Faloona, I., Trousdell, J., Smoot, J., Falk, N., and Conley, S.: Residual layer ozone, mixing, and the nocturnal jet in California's San Joaquin Valley, Atmos. Chem. Phys., 19, 4721–4740, <a href="https://doi.org/10.5194/acp-19-4721-2019" target="_blank">https://doi.org/10.5194/acp-19-4721-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation> Carlton, A. G., Bhave, P. V., Napelenok, S. L., Edney, E. O., Sarwar, G., Pinder, R. W., Pouliot, G. A., and Houyoux, M.: Model representation of secondary organic aerosol in CMAQv4.7, Environ. Sci. Technol., 44, 8553–8560, <a href="https://doi.org/10.1021/es100636q" target="_blank">https://doi.org/10.1021/es100636q</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation> Carré, J., Gatimel, N., Moreau, J., Parinaud, J., and Leandri, R.: Influence of air quality on the results of in vitro fertilization attempts: A retrospective study, Eur. J. Obstet. Gyn. R. B., 210, 116–122, <a href="https://doi.org/10.1016/j.ejogrb.2016.12.012" target="_blank">https://doi.org/10.1016/j.ejogrb.2016.12.012</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation> Carter, W. P. L.: Development of the SAPRC-07 chemical mechanism, Atmos. Environ., 44, 5324–5335, <a href="https://doi.org/10.1016/j.atmosenv.2010.01.026" target="_blank">https://doi.org/10.1016/j.atmosenv.2010.01.026</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation> Chen, F. and Dudhia, J.: Coupling an advanced land surface–hydrology model with the Penn State–NCAR MM5 modeling system. Part I: Model implementation and sensitivity, Mon. Weather Rev., 129, 569–585, <a href="https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation> Chen, X., Zhao, K., and Xue, M.: Spatial and temporal characteristics of warm season convection over Pearl River Delta region, China, based on 3 years of operational radar data, J. Geophys. Res.-Atmos., 119, 12447–12465,  <a href="https://doi.org/10.1002/2014jd021965" target="_blank">https://doi.org/10.1002/2014jd021965</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation> Chen, X., Zhong, B., Huang, F., Wang, X., Sarkar, S., Jia, S., Deng, X., Chen, D., and Shao, M.: The role of natural factors in constraining long-term tropospheric ozone trends over southern China, Atmos. Environ., 220, 117060,  <a href="https://doi.org/10.1016/j.atmosenv.2019.117060" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.117060</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation> Cirelli, D., Equiza, M. A., Lieffers, V. J., and Tyree, M. T.: <i>Populus</i> species from diverse habitats maintain high night-time conductance under drought, Tree Physiol., 36, 229–242, <a href="https://doi.org/10.1093/treephys/tpv092" target="_blank">https://doi.org/10.1093/treephys/tpv092</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
CMA – China Meteorological Administration: National Meteorological Information Centre, <a href="http://www.cma.gov.cn/" target="_blank"/>, last access: 10 February 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation> Dias-Junior, C. Q., Dias, N. L., Fuentes, J. D., and Chamecki, M.: Convective storms and non-classical low-level jets during high ozone level episodes in the Amazon region: An ARM/GOAMAZON case study, Atmos. Environ., 155, 199–209,  <a href="https://doi.org/10.1016/j.atmosenv.2017.02.006" target="_blank">https://doi.org/10.1016/j.atmosenv.2017.02.006</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation> Du, Y. and Chen, G.: Heavy rainfall associated with double low-level jets over southern China. Part II: Convection initiation, Mon. Weather Rev., 147, 543–565,  <a href="https://doi.org/10.1175/mwr-d-18-0102.1" target="_blank">https://doi.org/10.1175/mwr-d-18-0102.1</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation> Emmons, L. K., Walters, S., Hess, P. G., Lamarque, J.-F., Pfister, G. G., Fillmore, D., Granier, C., Guenther, A., Kinnison, D., Laepple, T., Orlando, J., Tie, X., Tyndall, G., Wiedinmyer, C., Baughcum, S. L., and Kloster, S.: Description and evaluation of the Model for Ozone and Related chemical Tracers, version 4 (MOZART-4), Geosci. Model Dev., 3, 43–67, <a href="https://doi.org/10.5194/gmd-3-43-2010" target="_blank">https://doi.org/10.5194/gmd-3-43-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
EPA: Guidance on the use of models and other analyses for demonstrating attainment of air quality goals for ozone, PM<sub>2.5</sub>, and regional haze, <a href="https://www.epa.gov/sites/default/files/2020-10/documents/final-03-pm-rh-guidance.pdf" target="_blank"/> (last access: 10 February 2022), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Fan, X., Xia, X., Chen, H., Zhu, Y., Li, J., Yang, H., and Luo, H.: Baseline of Surface and Column-Integrated Aerosol Loadings in the Pearl River Delta Region, China, Front. Environ. Sci., 10, 574, <a href="https://doi.org/10.3389/fenvs.2022.893408" target="_blank">https://doi.org/10.3389/fenvs.2022.893408</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation> Fast, J. D. and McCorcle, M. D.: A two-dimensional numerical sensitivity study of the Great Plains low-level jet, Mon. Weather Rev., 118, 151–164,  <a href="https://doi.org/10.1175/1520-0493(1990)118&lt;0151:ATDNSS&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1990)118&lt;0151:ATDNSS&gt;2.0.CO;2</a>, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation> Feng, Y., Ning, M., Lei, Y., Sun, Y., Liu, W., and Wang, J.: Defending blue sky in China: Effectiveness of the “Air Pollution Prevention and Control Action Plan” on air quality improvements from 2013 to 2017, J. Environ. Manage., 252, 109603,  <a href="https://doi.org/10.1016/j.jenvman.2019.109603" target="_blank">https://doi.org/10.1016/j.jenvman.2019.109603</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Fifth-generation European Centre for Medium-Range Weather Forecasts: ERA5 hourly data on pressure levels from 1959 to present, <a href="https://cds.climate.copernicus.eu/cdsapp#!/home" target="_blank"/>, last access: 10 February 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation> George, J. J.: Weather forecasting for aeronautics, Academic Press, <a href="https://doi.org/10.1016/C2013-0-12567-6" target="_blank">https://doi.org/10.1016/C2013-0-12567-6</a>, 1960.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation> Gong, D., Wang, H., Zhang, S., Wang, Y., Liu, S. C., Guo, H., Shao, M., He, C., Chen, D., He, L., Zhou, L., Morawska, L., Zhang, Y., and Wang, B.: Low-level summertime isoprene observed at a forested mountaintop site in southern China: implications for strong regional atmospheric oxidative capacity, Atmos. Chem. Phys., 18, 14417–14432, <a href="https://doi.org/10.5194/acp-18-14417-2018" target="_blank">https://doi.org/10.5194/acp-18-14417-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation> Grant, D. D., Fuentes, J. D., DeLonge, M. S., Chan, S., Joseph, E., Kucera, P., Ndiaye, S. A., and Gaye, A. T.: Ozone transport by mesoscale convective storms in western Senegal, Atmos. Environ., 42, 7104–7114,  <a href="https://doi.org/10.1016/j.atmosenv.2008.05.044" target="_blank">https://doi.org/10.1016/j.atmosenv.2008.05.044</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation> Grell, G. A. and Dévényi, D.: A generalized approach to parameterizing convection combining ensemble and data assimilation techniques, Geophys. Res. Lett., 29, 381–384, <a href="https://doi.org/10.1029/2002gl015311" target="_blank">https://doi.org/10.1029/2002gl015311</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation> Guenther, A., Karl, T., Harley, P., Wiedinmyer, C., Palmer, P. I., and Geron, C.: Estimates of global terrestrial isoprene emissions using MEGAN (Model of Emissions of Gases and Aerosols from Nature), Atmos. Chem. Phys., 6, 3181–3210, <a href="https://doi.org/10.5194/acp-6-3181-2006" target="_blank">https://doi.org/10.5194/acp-6-3181-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation> Han, C., Liu, R., Luo, H., Li, G., Ma, S., Chen, J., and An, T.: Pollution profiles of volatile organic compounds from different urban functional areas in Guangzhou China based on GC/MS and PTR-TOF-MS: Atmospheric environmental implications, Atmos. Environ., 214, 116843,  <a href="https://doi.org/10.1016/j.atmosenv.2019.116843" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.116843</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation> He, Y., Wang, H., Wang, H., Xu, X., Li, Y., and Fan, S.: Meteorology and topographic influences on nocturnal ozone increase during the summertime over Shaoguan, China, Atmos. Environ., 256, 118459,  <a href="https://doi.org/10.1016/j.atmosenv.2021.118459" target="_blank">https://doi.org/10.1016/j.atmosenv.2021.118459</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation> Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J. N.: The ERA5 global reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, <a href="https://doi.org/10.1002/qj.3803" target="_blank">https://doi.org/10.1002/qj.3803</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
HKEPD: Pearl River Delta Regional Air Quality Monitoring Report for Year 2017, <a href="https://www.epd.gov.hk/epd/sites/default/files/epd/english/resources_pub/publications/files/PRD_2017_report_en.pdf" target="_blank"/> (last access: 10 February 2022), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation> Hodges, D. and Pu, Z. X.: Characteristics and variations of low-level jets and environmental factors associated with summer precipitation extremes over the Great Plains, J. Climate, 32, 5123–5144,  <a href="https://doi.org/10.1175/jcli-d-18-0553.1" target="_blank">https://doi.org/10.1175/jcli-d-18-0553.1</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation> Hu, X. M., Klein, P. M., Xue, M., Zhang, F., Doughty, D. C., Forkel, R., Joseph, E., and Fuentes, J. D.: Impact of the vertical mixing induced by low-level jets on boundary layer ozone concentration, Atmos. Environ., 70, 123–130,  <a href="https://doi.org/10.1016/j.atmosenv.2012.12.046" target="_blank">https://doi.org/10.1016/j.atmosenv.2012.12.046</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the AER radiative transfer models, J. Geophys. Res.-Atmos., 113, D13103, <a href="https://doi.org/10.1029/2008jd009944" target="_blank">https://doi.org/10.1029/2008jd009944</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation> Jacob, D. J.: Heterogeneous chemistry and tropospheric ozone, Atmos. Environ., 34, 2131–2159,  <a href="https://doi.org/10.1016/S1352-2310(99)00462-8" target="_blank">https://doi.org/10.1016/S1352-2310(99)00462-8</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation> Jain, S. L., Arya, B. C., Kumar, A., Ghude, S. D., and Kulkarni, P. S.: Observational study of surface ozone at New Delhi, India, Int. J. Remote Sens., 26, 3515–3524,  <a href="https://doi.org/10.1080/01431160500076616" target="_blank">https://doi.org/10.1080/01431160500076616</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation> Jiménez, P., Parra, R., and Baldasano, J. M.: Influence of initial and boundary conditions for ozone modeling in very complex terrains: A case study in the northeastern Iberian Peninsula, Environ. Modell. Softw., 22, 1294–1306, <a href="https://doi.org/10.1016/j.envsoft.2006.08.004" target="_blank">https://doi.org/10.1016/j.envsoft.2006.08.004</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>  Johnson, D. L.: A stability analysis of AVE-IV severe weather sounding, NASA Tech. Paper, 2045–2126, <a href="https://ntrs.nasa.gov/citations/19830006553" target="_blank"/>
(last access: 10 February 2022), 1982.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation> Kallistratova, M. A.: Investigation of low-level-jets over rural and urban areas using two sodars, IOP C. Ser. Earth Env., 1, 012040,  <a href="https://doi.org/10.1088/1755-1315/1/1/012040" target="_blank">https://doi.org/10.1088/1755-1315/1/1/012040</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation> Klein, A., Ravetta, F., Thomas, J. L., Ancellet, G., Augustin, P., Wilson, R., Dieudonné, E., Fourmentin, M., Delbarre, H., and Pelon, J.: Influence of vertical mixing and nighttime transport on surface ozone variability in the morning in Paris and the surrounding region, Atmos. Environ., 197, 92–102, <a href="https://doi.org/10.1016/j.atmosenv.2018.10.009" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.10.009</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation> Kleinman, L., Lee, Y. N., Springston, S. R., Nunnermacker, L., Zhou, X., Brown, R., Hallock, K., Klotz, P., Leahy, D., and Lee, J. H.: Ozone formation at a rural site in the southeastern United States, J. Geophys. Res.-Atmos., 99, 3469–3482,  <a href="https://doi.org/10.1029/93JD02991" target="_blank">https://doi.org/10.1029/93JD02991</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation> Kuang, S., Newchurch, M. J., Burris, J., Wang, L., Buckley, P. I., Johnson, S., Knupp, K., Huang, G., Phillips, D., and Cantrell, W.: Nocturnal ozone enhancement in the lower troposphere observed by lidar, Atmos. Environ., 45, 6078–6084,  <a href="https://doi.org/10.1016/j.atmosenv.2011.07.038" target="_blank">https://doi.org/10.1016/j.atmosenv.2011.07.038</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation> Kulkarni, P. S., Bortoli, D., and Silva, A. M.: Nocturnal surface ozone enhancement and trend over urban and suburban sites in Portugal, Atmos. Environ., 71, 251–259,  <a href="https://doi.org/10.1016/j.atmosenv.2013.01.051" target="_blank">https://doi.org/10.1016/j.atmosenv.2013.01.051</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation> Kulkarni, P. S., Bortoli, D., Silva, A. M., and Reeves, C. E.: Enhancements in nocturnal surface ozone at urban sites in the UK, Environ. Sci. Pollut. R., 22, 20295–20305,  <a href="https://doi.org/10.1007/s11356-015-5259-z" target="_blank">https://doi.org/10.1007/s11356-015-5259-z</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation> Kurt, O. K., Zhang, J., and Pinkerton, K. E.: Pulmonary health effects of air pollution, Curr. Opin. Pulm. Med., 22, 138–143,  <a href="https://doi.org/10.1097/MCP.0000000000000248" target="_blank">https://doi.org/10.1097/MCP.0000000000000248</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Li, K., Jacob, D. J., Liao, H., Zhu, J., Shah, V., Shen, L., Bates, K. H., Zhang, Q., and Zhai, S.: A two-pollutant strategy for improving ozone and particulate air quality in China, Nat. Geosci., 12, 906–910, <a href="https://doi.org/10.1038/s41561-019-0464-x" target="_blank">https://doi.org/10.1038/s41561-019-0464-x</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Li, M., Liu, H., Geng, G., Hong, C., Liu, F., Song, Y., Tong, D., Zheng, B., Cui, H., Man, H., Zhang, Q., and He, K.: Anthropogenic emission inventories in China: a review, Natl. Sci. Rev., 4, 834–866,  <a href="https://doi.org/10.1093/nsr/nwx150" target="_blank">https://doi.org/10.1093/nsr/nwx150</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation> Li, X. B., Yuan, B., Parrish, D. D., Chen, D., Song, Y., Yang, S., Liu, Z., and Shao, M.: Long-term trend of ozone in southern China reveals future mitigation strategy for air pollution, Atmos. Environ., 269, 118869,  <a href="https://doi.org/10.1016/j.atmosenv.2021.118869" target="_blank">https://doi.org/10.1016/j.atmosenv.2021.118869</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation> Li, Y., Wang, W., Chang, M., and Wang, X.: Impacts of urbanization on extreme precipitation in the Guangdong-Hong Kong-Macau Greater Bay Area, Urban Clim., 38, 100904,  <a href="https://doi.org/10.1016/j.uclim.2021.100904" target="_blank">https://doi.org/10.1016/j.uclim.2021.100904</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation> Liao, Z., Ling, Z., Gao, M., Sun, J., Zhao, W., Ma, P., Quan, J., and Fan, S.: Tropospheric ozone variability over Hong Kong based on recent 20 years (2000–2019) ozonesonde observation, J. Geophys. Res.-Atmos., 126, e2020JD033054,  <a href="https://doi.org/10.1029/2020jd033054" target="_blank">https://doi.org/10.1029/2020jd033054</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation> Lin, Y., Farley, R. D., and Orville, H. D.: Bulk parameterization of the snow field in a cloud model, J. Appl. Meteorol. Clim., 22, 1065–1092,  <a href="https://doi.org/10.1175/1520-0450(1983)022&lt;1065:BPOTSF&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0450(1983)022&lt;1065:BPOTSF&gt;2.0.CO;2</a>, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation> Liu, H., Zhang, M., and Han, X.: A review of surface ozone source apportionment in China, Atmos. Ocean. Sci. Lett., 13, 470–484, <a href="https://doi.org/10.1080/16742834.2020.1768025" target="_blank">https://doi.org/10.1080/16742834.2020.1768025</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation> Liu, X. H., Zhang, Y., Xing, J., Zhang, Q., Wang, K., Streets, D. G., Jang, C., Wang, W., and Hao, J. M.: Understanding of regional air pollution over China using CMAQ, part II. Process analysis and sensitivity of ozone and particulate matter to precursor emissions, Atmos. Environ., 44, 3719–3727,  <a href="https://doi.org/10.1016/j.atmosenv.2010.03.036" target="_blank">https://doi.org/10.1016/j.atmosenv.2010.03.036</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation> Lu, K., Zhang, Y., Su, H., Shao, M., Zeng, L., Zhong, L., Xiang, Y., Chang, C., Chou, C. K. C., and Wahner, A.: Regional ozone pollution and key controlling factors of photochemical ozone production in Pearl River Delta during summer time, Sci. China Chem., 53, 651–663,  <a href="https://doi.org/10.1007/s11426-010-0055-6" target="_blank">https://doi.org/10.1007/s11426-010-0055-6</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Lu, X., Zhang, L., Wang, X., Gao, M., Li, K., Zhang, Y., Yue, X., and Zhang, Y.: Rapid increases in warm-season surface ozone and resulting health impact in China since 2013, Environ. Sci. Tech. Let., 7, 240–247,  <a href="https://doi.org/10.1021/acs.estlett.0c00171" target="_blank">https://doi.org/10.1021/acs.estlett.0c00171</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation> Ma, Z., Xu, J., Quan, W., Zhang, Z., Lin, W., and Xu, X.: Significant increase of surface ozone at a rural site, north of eastern China, Atmos. Chem. Phys., 16, 3969–3977, <a href="https://doi.org/10.5194/acp-16-3969-2016" target="_blank">https://doi.org/10.5194/acp-16-3969-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Mann, H. B.: Nonparametric tests against trend, Econometrica, 13, 245–259, <a href="https://doi.org/10.2307/1907187" target="_blank">https://doi.org/10.2307/1907187</a>, 1945.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation> Mao, J., Yan, F., Zheng, L., You, Y., Wang, W., Jia, S., Liao, W., Wang, X., and Chen, W.: Ozone control strategies for local formation- and regional transport-dominant scenarios in a manufacturing city in southern China, Sci. Total Environ., 813, 151883,  <a href="https://doi.org/10.1016/j.scitotenv.2021.151883" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.151883</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation> Marelle, L., Myhre, G., Steensen, B. M., Hodnebrog, Ø., Alterskjær, K., and Sillmann, J.: Urbanization in megacities increases the frequency of extreme precipitation events far more than their intensity, Environ. Res. Lett., 15, 124072, <a href="https://doi.org/10.1088/1748-9326/abcc8f" target="_blank">https://doi.org/10.1088/1748-9326/abcc8f</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation> McCorcle, M. D.: Simulation of surface-moisture effects on the Great Plains low-level jet, Mon. Weather Rev., 116, 1705–1720, <a href="https://doi.org/10.1175/1520-0493(1988)116&lt;1705:SOSMEO&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1988)116&lt;1705:SOSMEO&gt;2.0.CO;2</a>, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
MEE: The Ministry of Ecology and Environment of People's Republic of China, Guidelines for selection of ambient air quality models (Trial), <a href="https://english.mee.gov.cn/Resources/standards/Air_Environment/quality_standard1/201605/t20160511_337502.shtml" target="_blank"/> (lass access: 10 February 2022), 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Monin, A. S. and Obukhov, A. M.: Basic laws of turbulent mixing in the surface layer of the atmosphere, Contrib. Geophys. Inst. Acad. Sci. USSR, 151, e187, <a href="https://gibbs.science/efd/handouts/monin_obukhov_1954.pdf" target="_blank"/> (last access: 10 February 2022), 1954.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation> Mousavinezhad, S., Choi, Y., Pouyaei, A., Ghahremanloo, M., and Nelson, D. L.: A comprehensive investigation of surface ozone pollution in China, 2015–2019: Separating the contributions from meteorology and precursor emissions, Atmos. Res., 257, 105599,  <a href="https://doi.org/10.1016/j.atmosres.2021.105599" target="_blank">https://doi.org/10.1016/j.atmosres.2021.105599</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation> Nair, P. R., Chand, D., Lal, S., Modh, K. S., Naja, M., Parameswaran, K., Ravindran, S., and Venkataramani, S.: Temporal variations in surface ozone at Thumba (8.6°&thinsp;N, 77°&thinsp;E) – a tropical coastal site in India, Atmos. Environ., 36, 603–610, <a href="https://doi.org/10.1016/S1352-2310(01)00527-1" target="_blank">https://doi.org/10.1016/S1352-2310(01)00527-1</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation> Nakanishi, M. and Niino, H.: An improved Mellor–Yamada Level-3 model: Its numerical stability and application to a regional prediction of advection fog, Bound.-Lay. Meteorol., 119, 397–407,  <a href="https://doi.org/10.1007/s10546-005-9030-8" target="_blank">https://doi.org/10.1007/s10546-005-9030-8</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation> Nikolic, J., Zhong, S., Pei, L., Bian, X., Heilman, W. E., and Charney, J. J.: Sensitivity of low-level jets to land-use and land-cover change over the continental US, Atmosphere, 10, 174,  <a href="https://doi.org/10.3390/atmos10040174" target="_blank">https://doi.org/10.3390/atmos10040174</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation> Olauson, J.: ERA5: The new champion of wind power modelling?, Renew. Energ., 126, 322–331,  <a href="https://doi.org/10.1016/j.renene.2018.03.056" target="_blank">https://doi.org/10.1016/j.renene.2018.03.056</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation> Ploeger, F., Diallo, M., Charlesworth, E., Konopka, P., Legras, B., Laube, J. C., Grooß, J.-U., Günther, G., Engel, A., and Riese, M.: The stratospheric Brewer–Dobson circulation inferred from age of air in the ERA5 reanalysis, Atmos. Chem. Phys., 21, 8393–8412, <a href="https://doi.org/10.5194/acp-21-8393-2021" target="_blank">https://doi.org/10.5194/acp-21-8393-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation> Prtenjak, M. T., Jerièeviæ, A., Klaiæ, Z. B., Alebiæ-Juretiæ, A., and Buliæ, I. H.: Atmospheric dynamics and elevated ozone concentrations in the northern Adriatic, Meteorol. Appl., 20, 482–496, <a href="https://doi.org/10.1002/met.1312" target="_blank">https://doi.org/10.1002/met.1312</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation> Ravishankara, A. R.: Are chlorine atoms significant tropospheric free radicals?, P. Natl. Acad. Sci. USA, 106, 13639–13640,  <a href="https://doi.org/10.1073/pnas.0907089106" target="_blank">https://doi.org/10.1073/pnas.0907089106</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation> Salmond, J. A. and McKendry, I. G.: Secondary ozone maxima in a very stable nocturnal boundary layer: Observations from the Lower Fraser Valley, BC, Atmos. Environ., 36, 5771–5782,  <a href="https://doi.org/10.1016/S1352-2310(02)00698-2" target="_blank">https://doi.org/10.1016/S1352-2310(02)00698-2</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation> Seibert, P., Feldmann, H., Neininger, B., Baumle, M., and Trickl, T.: South foehn and ozone in the Eastern Alps – case study and climatological aspects, Atmos. Environ., 34, 1379–1394,  <a href="https://doi.org/10.1016/S1352-2310(99)00439-2" target="_blank">https://doi.org/10.1016/S1352-2310(99)00439-2</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation> Sen, P. K.: Estimates of the regression coefficient based on Kendall's tau, J. Am. Stat. Assoc., 63, 1379–1389,  <a href="https://doi.org/10.2307/2285891" target="_blank">https://doi.org/10.2307/2285891</a>, 1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation> Seto, K. C., Guneralp, B., and Hutyra, L. R.: Global forecasts of urban expansion to 2030 and direct impacts on biodiversity and carbon pools, P. Natl. Acad. Sci. USA, 109, 16083–16088,  <a href="https://doi.org/10.1073/pnas.1211658109" target="_blank">https://doi.org/10.1073/pnas.1211658109</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation> Shen, J., Zhang, Y., Wang, X., Li, J., Chen, H., Liu, R., Zhong, L., Jiang, M., Yue, D., Chen, D., and Lv, W.: An ozone episode over the Pearl River Delta in October 2008, Atmos. Environ., 122, 852–863,  <a href="https://doi.org/10.1016/j.atmosenv.2015.03.036" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.03.036</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation> Shith, S., Awang, N. R., Latif, M. T., and Ramli, N. A.: Fluctuations in nighttime ground-level ozone concentrations during haze events in Malaysia, Air Qual. Atmos. Hlth., 14, 19–26,  <a href="https://doi.org/10.1007/s11869-020-00908-5" target="_blank">https://doi.org/10.1007/s11869-020-00908-5</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation> Sousa, S. I. V., Alvim-Ferraz, M. C. M., and Martins, F. G.: Identification and origin of nocturnal ozone maxima at urban and rural areas of northern Portugal – Influence of horizontal transport, Atmos. Environ., 45, 942–956,  <a href="https://doi.org/10.1016/j.atmosenv.2010.11.008" target="_blank">https://doi.org/10.1016/j.atmosenv.2010.11.008</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Stull, R. B.: An introduction to boundary layer meteorology, Springer Science and Business Media, ISBN 978-94-009-3027-8, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
Sugimoto, N., Nishizawa, T., Liu, X., Matsui, I., Shimizu, A., Zhang, Y., Kim, Y. J., Li, R., and Liu, J.: Continuous observations of aerosol profiles with a two-wavelength Mie-scattering lidar in Guangzhou in PRD2006, J. Appl. Meteorol. Clim., 48, 1822–1830,  <a href="https://doi.org/10.1175/2009JAMC2089.1" target="_blank">https://doi.org/10.1175/2009JAMC2089.1</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation> Sullivan, J. T., Rabenhorst, S. D., Dreessen, J., McGee, T. J., Delgado, R., Twigg, L., and Sumnicht, G.: Lidar observations revealing transport of O<sub>3</sub> in the presence of a nocturnal low-level jet: Regional implications for “next-day” pollution, Atmos. Environ., 158, 160–171,  <a href="https://doi.org/10.1016/j.atmosenv.2017.03.039" target="_blank">https://doi.org/10.1016/j.atmosenv.2017.03.039</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation> Tong, N. Y. O. and Leung, D. Y. C.: Ozone diurnal characteristics in areas with different urbanisations, Int. J. Environ. Pollut., 49, 100–124,  <a href="https://doi.org/10.1504/Ijep.2012.049771" target="_blank">https://doi.org/10.1504/Ijep.2012.049771</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation> Trier, S. B., Wilson, J. W., Ahijevych, D. A., and Sobash, R. A.: Mesoscale vertical motions near nocturnal convection initiation in PECAN, Mon. Weather Rev., 145, 2919–2941,  <a href="https://doi.org/10.1175/mwr-d-17-0005.1" target="_blank">https://doi.org/10.1175/mwr-d-17-0005.1</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation> Udina, M., Soler, M. R., Olid, M., Jiménez-Esteve, B., and Bech, J.: Pollutant vertical mixing in the nocturnal boundary layer enhanced by density currents and low-level jets: Two representative case studies, Bound.-Lay. Meteorol., 174, 203–230, <a href="https://doi.org/10.1007/s10546-019-00483-y" target="_blank">https://doi.org/10.1007/s10546-019-00483-y</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation> Wang, T., Wei, X. L., Ding, A. J., Poon, C. N., Lam, K. S., Li, Y. S., Chan, L. Y., and Anson, M.: Increasing surface ozone concentrations in the background atmosphere of Southern China, 1994–2007, Atmos. Chem. Phys., 9, 6217–6227, <a href="https://doi.org/10.5194/acp-9-6217-2009" target="_blank">https://doi.org/10.5194/acp-9-6217-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation> Wang, T., Xue, L., Brimblecombe, P., Lam, Y. F., Li, L., and Zhang, L.: Ozone pollution in China: A review of concentrations, meteorological influences, chemical precursors, and effects, Sci. Total Environ., 575, 1582–1596,  <a href="https://doi.org/10.1016/j.scitotenv.2016.10.081" target="_blank">https://doi.org/10.1016/j.scitotenv.2016.10.081</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation> Wang, T., Dai, J., Lam, K. S., Nan Poon, C., and Brasseur, G. P.: Twenty-five years of lower tropospheric ozone observations in tropical East Asia: The influence of emissions and weather patterns, Geophys. Res. Lett., 46, 11463–11470, <a href="https://doi.org/10.1029/2019GL084459" target="_blank">https://doi.org/10.1029/2019GL084459</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation> Wang, X., Zhang, Y., Hu, Y., Zhou, W., Lu, K., Zhong, L., Zeng, L., Shao, M., Hu, M., and Russell, A. G.: Process analysis and sensitivity study of regional ozone formation over the Pearl River Delta, China, during the PRIDE-PRD2004 campaign using the Community Multiscale Air Quality modeling system, Atmos. Chem. Phys., 10, 4423–4437, <a href="https://doi.org/10.5194/acp-10-4423-2010" target="_blank">https://doi.org/10.5194/acp-10-4423-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation> Wang, X., Situ, S., Guenther, A., Chen, F. E. I., Wu, Z., Xia, B., and Wang, T.: Spatiotemporal variability of biogenic terpenoid emissions in Pearl River Delta, China, with high-resolution land-cover and meteorological data, Tellus B, 63, 241–254,  <a href="https://doi.org/10.1111/j.1600-0889.2010.00523.x" target="_blank">https://doi.org/10.1111/j.1600-0889.2010.00523.x</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation> Wu, X., Yuan, T., Qie, K., and Luo, J.: Geographical distribution of extreme deep and intense convective storms on Earth, Atmos. Res., 235, 104789,  <a href="https://doi.org/10.1016/j.atmosres.2019.104789" target="_blank">https://doi.org/10.1016/j.atmosres.2019.104789</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
Wyat Appel, K., Napelenok, S., Hogrefe, C., Pouliot, G., Foley, K. M., Roselle, S. J., Pleim, J. E., Bash, J., Pye, H. O. T., Heath, N., Murphy, B., and Mathur, R.: Overview and evaluation of the Community Multiscale Air Quality (CMAQ) modeling system version 5.2, in: Air Pollution Modeling and its Application XXV, Springer Proceedings in Complexity, Springer, 69–73, <a href="https://doi.org/10.1007/978-3-319-57645-9_11" target="_blank">https://doi.org/10.1007/978-3-319-57645-9_11</a>, 2018.

</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation> Xue, L., Wang, T., Louie, P. K., Luk, C. W., Blake, D. R., and Xu, Z.: Increasing external effects negate local efforts to control ozone air pollution: A case study of Hong Kong and implications for other Chinese cities, Environ. Sci. Technol., 48, 10769–10775,  <a href="https://doi.org/10.1021/es503278g" target="_blank">https://doi.org/10.1021/es503278g</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation> Yang, C., Li, Q., Hu, Z., Chen, J., Shi, T., Ding, K., and Wu, G.: Spatiotemporal evolution of urban agglomerations in four major bay areas of US, China and Japan from 1987 to 2017: Evidence from remote sensing images, Sci. Total Environ., 671, 232–247,  <a href="https://doi.org/10.1016/j.scitotenv.2019.03.154" target="_blank">https://doi.org/10.1016/j.scitotenv.2019.03.154</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation> Yang, L., Luo, H., Yuan, Z., Zheng, J., Huang, Z., Li, C., Lin, X., Louie, P. K. K., Chen, D., and Bian, Y.: Quantitative impacts of meteorology and precursor emission changes on the long-term trend of ambient ozone over the Pearl River Delta, China, and implications for ozone control strategy, Atmos. Chem. Phys., 19, 12901–12916, <a href="https://doi.org/10.5194/acp-19-12901-2019" target="_blank">https://doi.org/10.5194/acp-19-12901-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation> Yue, X., Unger, N., Harper, K., Xia, X., Liao, H., Zhu, T., Xiao, J., Feng, Z., and Li, J.: Ozone and haze pollution weakens net primary productivity in China, Atmos. Chem. Phys., 17, 6073–6089, <a href="https://doi.org/10.5194/acp-17-6073-2017" target="_blank">https://doi.org/10.5194/acp-17-6073-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation> Yusoff, M. F., Latif, M. T., Juneng, L., Khan, M. F., Ahamad, F., Chung, J. X., and Mohtar, A. A. A.: Spatio-temporal assessment of nocturnal surface ozone in Malaysia, Atmos. Environ., 207, 105–116,  <a href="https://doi.org/10.1016/j.atmosenv.2019.03.023" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.03.023</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation> Zheng, B., Tong, D., Li, M., Liu, F., Hong, C., Geng, G., Li, H., Li, X., Peng, L., Qi, J., Yan, L., Zhang, Y., Zhao, H., Zheng, Y., He, K., and Zhang, Q.: Trends in China's anthropogenic emissions since 2010 as the consequence of clean air actions, Atmos. Chem. Phys., 18, 14095–14111, <a href="https://doi.org/10.5194/acp-18-14095-2018" target="_blank">https://doi.org/10.5194/acp-18-14095-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation> Zhang, B., Li, J., Wang, M., Duan, P., and Li, C.: Using DMSP/OLS and NPP/VIIRS images to analyze the expansion of 21 urban agglomerations in mainland China, J. Urban Plan. Dev., 147, 04021024, <a href="https://doi.org/10.1061/(asce)up.1943-5444.0000690" target="_blank">https://doi.org/10.1061/(asce)up.1943-5444.0000690</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation> Zhang, R., Lei, W., Tie, X., and Hess, P.: Industrial emissions cause extreme urban ozone diurnal variability, P. Natl. Acad. Sci. USA, 101, 6346–6350,  <a href="https://doi.org/10.1073/pnas.0401484101" target="_blank">https://doi.org/10.1073/pnas.0401484101</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation> Zhong, Z., Zheng, J., Zhu, M., Huang, Z., Zhang, Z., Jia, G., Wang, X., Bian, Y., Wang, Y., and Li, N.: Recent developments of anthropogenic air pollutant emission inventories in Guangdong province, China, Sci. Total Environ., 627, 1080–1092,  <a href="https://doi.org/10.1016/j.scitotenv.2018.01.268" target="_blank">https://doi.org/10.1016/j.scitotenv.2018.01.268</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>100</label><mixed-citation> Zhu, X. W., Ma, Z. Q., Li, Z. M., Wu, J., Guo, H., Yin, X. M., Ma, X. H., and Qiao, L.: Impacts of meteorological conditions on nocturnal surface ozone enhancement during the summertime in Beijing, Atmos. Environ., 225, 117368,  <a href="https://doi.org/10.1016/j.atmosenv.2020.117368" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.117368</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib101"><label>101</label><mixed-citation> Ziemann, A., Starke, M., and Leiding, T.: Sensitivity of nocturnal low-level jets to land-use parameters and meteorological quantities, Adv. Sci. Res., 16, 85–93, <a href="https://doi.org/10.5194/asr-16-85-2019" target="_blank">https://doi.org/10.5194/asr-16-85-2019</a>, 2019.
</mixed-citation></ref-html>--></article>
