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<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-23-2829-2023</article-id><title-group><article-title>Modulation of daily PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over China in winter by
large-scale circulation and climate change</article-title><alt-title>Modulation of daily PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations</alt-title>
      </title-group><?xmltex \runningtitle{Modulation of daily PM${}_{{2.5}}$ concentrations}?><?xmltex \runningauthor{Z. Jia et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jia</surname><given-names>Zixuan</given-names></name>
          <email>z.jia-6@sms.ed.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ordóñez</surname><given-names>Carlos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2990-0195</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Doherty</surname><given-names>Ruth M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7601-2209</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wild</surname><given-names>Oliver</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6227-7035</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Turnock</surname><given-names>Steven T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0036-4627</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>O'Connor</surname><given-names>Fiona M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2893-4828</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of GeoSciences, University of Edinburgh, Edinburgh, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Departamento de Física de la Tierra y Astrofísica, Facultad de Ciencias Físicas,<?xmltex \hack{\break}?>  Universidad Complutense de Madrid, Madrid, Spain</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Lancaster Environment Centre, Lancaster University, Lancaster, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Met Office Hadley Centre, Exeter, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>University of Leeds Met Office Strategic Research Group, School of
Earth and Environment,<?xmltex \hack{\break}?> University of Leeds, Leeds, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Zixuan Jia (z.jia-6@sms.ed.ac.uk)</corresp></author-notes><pub-date><day>2</day><month>March</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>4</issue>
      <fpage>2829</fpage><lpage>2842</lpage>
      <history>
        <date date-type="received"><day>26</day><month>July</month><year>2022</year></date>
           <date date-type="rev-request"><day>25</day><month>October</month><year>2022</year></date>
           <date date-type="rev-recd"><day>18</day><month>January</month><year>2023</year></date>
           <date date-type="accepted"><day>15</day><month>February</month><year>2023</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="d1e177">We use the United Kingdom Earth System Model, UKESM1, to
investigate the influence of the winter large-scale circulation on daily
concentrations of PM<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (particulate matter with an aerodynamic
diameter of 2.5 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m or less) and their sensitivity to emissions over
major populated regions of China over the period 1999–2019. We focus on the
Yangtze River delta (YRD), where weak flow of cold, dry air from the north and weak inflow of maritime air are particularly conducive to air pollution.
These provide favourable conditions for the accumulation of local pollution
but limit the transport of air pollutants into the region from the north.
Based on the dominant large-scale circulation, we construct a new index
using the north–south pressure gradient and apply it to characterise PM<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over the region. We show that this index can effectively distinguish different levels of pollution over YRD and explain
changes in PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to emissions from local and surrounding
regions. We then project future changes in PM<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations using
this index and find an increase in PM<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over the
region due to climate change that is likely to partially offset the effect
of emission control measures in the near-term future. To benefit from future
emission reductions, more stringent emission controls are required to offset
the effects of climate change.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e243">Haze air pollution with high levels of PM<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (particulate matter with
an aerodynamic diameter of 2.5 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m or less) is a major health concern in
China, especially in the major populated regions of Beijing–Tianjin–Hebei
(BTH), the Yangtze River delta (YRD), and the Pearl River delta (PRD) (Zhao et al., 2013; Ding et al., 2013; Huang et al., 2014). Many studies have explored the underlying causes of high PM<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations, and air
pollutant emissions (An et al., 2019; Chan and Yao, 2008; Q. Zhang et al.,
2019), meteorological conditions (Wang et al., 2009; Hou et al., 2018,
2020), and regional transport (Li et al., 2012; Sun et al., 2015; Chen et
al., 2017; Wang et al., 2016) are identified as important contributors. In
particular, meteorological conditions can modulate the regional transport as well as the local accumulation, chemical conversion, and wet and dry
deposition of air pollutants (e.g. Tai et al., 2010; Zhang et al., 2014; Wang et al., 2014).</p>
      <p id="d1e272">Severe haze pollution frequently occurs in winter under stagnant
meteorological conditions with weak near-surface winds, strong temperature
inversions, and high relative humidity, which are favourable for the accumulation of PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Wang et al., 2014; Miao et al., 2015; Leung et
al., 2018). These meteorological conditions are in turn affected<?pagebreak page2830?> by
large-scale circulation patterns over China dominated by the East Asian winter monsoon during winter with northerlies along the East Asian coast and
southerlies from the South China Sea and the East China Sea (Chang et al.,
2006; Wang and Chen, 2010; Wang and Lu, 2017). Global climate models can
represent these large-scale circulation features better than regional
meteorological conditions that typically depend on sub-grid-scale processes (Chen et al., 2012; Zha et al., 2020; Xu et al., 2021). Because of this,
many studies have investigated the modulation of large-scale winter
circulation on PM<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China and proposed
circulation-based indices. Among these studies, most of the focus has been
placed on the BTH region, which has the most severe PM<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution, or on parts of southern China (e.g. Wang and Chen, 2010; Jia et al., 2015; Jeong and Park, 2017; G. Zhang et al., 2019). As the circulation patterns are more
complex over eastern China, fewer studies have focused on this region (e.g. Wang et al., 2016; Leung et al., 2018; Hou et al., 2019). Recently, Jia et
al. (2022) diagnosed the dominant large-scale circulation patterns
associated with winter PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and defined new circulation-based indices
for BTH, YRD, and PRD. However, these results were based on a short 5-year period and need to be verified over a longer time period.</p>
      <p id="d1e311">The sensitivity of air pollution to emission sources is associated with
regional transport, which can be modulated by the large-scale circulation.
PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> originates from local emissions of primary particles emitted
directly from natural and anthropogenic sources and from secondary particles
generated by heterogeneous and homogeneous chemical reactions of gaseous
precursors in the atmosphere (Feng et al., 2012; He et al., 2012; Du et al.,
2020). Air pollution from surrounding regions also affects PM<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations through regional transport (Sun et al., 2015, 2022; Wang et al.,
2016; Cheng et al., 2019). Cheng et al. (2019) found that
the reduction in PM<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in Beijing from 2013 to 2017,
which resulted from the implementation of an action plan for controlling
anthropogenic emissions, was dominated by emission reductions from both
local (65 %) and surrounding (23 %) regions. In a heavy wintertime air pollution episode over the two central Chinese provinces of Hubei and Hunan
in January 2019, 71 % of the PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations were attributed to
regional transport from northern China (Hu et al., 2021). YRD is a key
emission source and receptor region in eastern China that is affected by
both northerly continental winds from Siberia and southerly oceanic winds in
winter (e.g. Li et al., 2012; Wang et al., 2016; Jeong and Park, 2017). Consequently, emissions from the major source regions located north and
south of YRD, i.e. BTH and PRD, have the potential to affect air pollution in the YRD region (e.g. Zhao et al., 2013; Zhang and Cao, 2015; Liao et al., 2015). A combination of PM<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation from local
emissions and regional transport from the surrounding regions results in complex air pollution characteristics in YRD. It is therefore important to
investigate the role of emissions from local and surrounding regions in
PM<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in the region during winter and to identify the impact
of large-scale circulation.</p>
      <p id="d1e369">Future PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations will be influenced by changes in both air
pollutant emissions and climate. Circulation-based indices derived from
climate models are commonly used to represent the future evolution of
PM<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (e.g. Cai et al., 2017; Zhao et al., 2021). For instance, more frequent severe haze days have been projected in Beijing
under climate change based on the East Asian winter monsoon index (Pei et
al., 2018) and the haze weather index (Cai et al., 2017). However, most existing circulation-based indices have been proposed for the North China Plain and do not reflect the link between the large-scale circulation and
PM<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels over YRD and PRD. Furthermore, analyses of output from
climate models point to large uncertainties in the magnitude and spatial
extent of projections of circulation features over China during winter under
climate change (Ding et al., 2007; Xu et al., 2016; Miao et al., 2020).
Therefore, improved knowledge of the dominant large-scale circulation
patterns and identification of appropriate circulation-based indices are
needed to understand PM<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration changes in future climate
projections.</p>
      <p id="d1e409">In this study we use a state-of-the-art Earth system model (Sects. 2, 3) to
investigate the dominant large-scale circulation–PM<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> relationships
for BTH, YRD, and PRD on daily timescales during winter and propose a new circulation-based index for each region (Sect. 4). We then quantify the sensitivity of daily PM<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in YRD to emissions from local and
surrounding regions and explain the modulation of this sensitivity by the
large-scale circulation using the proposed new daily circulation-based index
(Sect. 5). Based on these modelled dominant large-scale
circulation–PM<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> relationships and circulation-based indices derived
from climate model historical and future simulations, we project daily
changes in PM<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under climate change (Sect. 6).
Finally, Sect. 7 discusses and summarises the main results.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Model description and simulations</title>
      <p id="d1e463">The United Kingdom Earth System Model, UKESM1, as configured for the latest
Coupled Model Intercomparison Project phase model, CMIP6 (Sellar et al., 2019, 2020), is used to simulate the impact of large-scale circulation on daily PM<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations for CMIP6 historical (1999–2014) and
future (2015–2019) periods. Here, UKESM1 is configured to simulate changes
in the atmosphere and land only as used in the Atmospheric Model
Intercomparison Project (AMIP; Eyring et al., 2016). The United Kingdom
Chemistry and Aerosols model (UKCA; Morgenstern et al., 2009; O'Connor et
al., 2014) is the atmospheric composition component of UKESM1 and includes the stratosphere–troposphere gas-phase chemistry scheme,<?pagebreak page2831?> StratTrop
(Archibald et al., 2020), and the Global Model of Aerosol Processes (GLOMAP)-mode aerosol scheme (Mann et al., 2010; Mulcahy et al., 2020). UKCA is coupled with the Global Atmosphere 7.1/Global Land 7.0 (GA7.1/GL7.0; Walters et al., 2019) configuration of the
Hadley Centre Global Environment Model version 3 (HadGEM3; Hewitt et al.,
2011). The model version used here permits simulation of PM<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations at daily resolution.</p>
      <p id="d1e484">We output PM<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations and meteorological fields from
1 December 1999 to 28 February 2019 at a horizontal resolution of
1.875<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M34" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.25<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (approximately 140 km at mid-latitudes). We then extract daily concentrations for 20 winters from
1 December 1999–28 February 2000 to 1 December 2018–28 February 2019 (hereafter referred to as DJF 1999–2018). In this study, DJF
refers to December of the current year and January and February of the
following year. Meteorological fields include zonal wind at 850 hPa (U850),
meridional wind at 850 hPa (V850), sea level pressure (SLP), precipitation, and geopotential height at 500 hPa (Z500). Wind speed and temperature are
nudged with ERA-Interim reanalyses from the European Centre for Medium-Range
Weather Forecasts (ECMWF) every 6 h (Dee et al., 2011). By nudging to
reanalysis data, this model can produce a realistic representation of the meteorological conditions. Sea surface temperature and sea ice fields are
prescribed with observations from the National Oceanic and Atmospheric
Administration (NOAA) (Reynolds et al., 2007). Greenhouse gas concentrations
and vegetation land cover fraction are prescribed as in CMIP6 historical
(1999–2014) and SSP3-7.0 future (2015–2019) simulations conducted by UKESM1
(Meinshausen et al., 2017, 2020). There is little difference between the
shared socio-economic pathways (SSPs; O'Neill et al., 2014; van Vuuren et
al., 2014) in the first few years of each scenario, so the choice of
scenario should not impact the results for the time period considered here.
In order to isolate the meteorological contribution to daily PM<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> variability from emissions, CMIP6 emissions for 2014 are used for the full
period of the simulations, 1999–2019. This allows robust relationships
between PM<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and the dominant large-scale circulation for BTH, YRD, and PRD to be established. Furthermore, three additional simulations have
been performed for a 6-year period (2014–2019) with reduced emission fluxes over specific regions to examine the sensitivity of PM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over YRD to
different source regions (Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e552">Last 6 years of the nudged UKESM1 simulation for 1999–2019  (with CMIP6 historical emissions for year 2014) and three
sensitivity simulations with reduced emissions (for year 2058
according to the CMIP6 SSP3-7.0 scenario) over YRD, northern China, and southern China, respectively. The three regions are displayed in Fig. 8.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Year of</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center">Year of emission data </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">meteorological</oasis:entry>
         <oasis:entry colname="col2">YRD</oasis:entry>
         <oasis:entry colname="col3">Northern</oasis:entry>
         <oasis:entry colname="col4">Southern</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">data</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">China</oasis:entry>
         <oasis:entry colname="col4">China</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2014–2019</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">2014</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2019</oasis:entry>
         <oasis:entry colname="col2">2058</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">2014</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2019</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3">2058</oasis:entry>
         <oasis:entry colname="col4">2014</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2019</oasis:entry>
         <oasis:entry colname="col2">2014</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">2058</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e674">To project changes in circulation-based indices under climate change, we use
daily meteorological data for DJF 1995–2098 derived from the CMIP6 UKESM1
historical experiment and future scenario SSP3-7.0. The CMIP6 SSP3-7.0
scenario has a large anthropogenic climate forcing signal (a radiative
forcing of 7.0 W m<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2100) and encompasses weak action in reducing air pollutant emissions (Turnock et al., 2020). We use this strong climate change scenario to quantify how changes in climate alone are likely to
affect PM<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the region. Note that the projected
circulation changes will be affected by changes in the emissions of both
greenhouse gases and aerosol precursors, while the direct contribution of
precursor emission changes to the future evolution of the PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations is not considered in this study.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><?xmltex \opttitle{Reanalysis PM${}_{{2.5}}$ data}?><title>Reanalysis PM<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> data</title>
      <p id="d1e725">The 6-year high-resolution Chinese air quality reanalysis dataset (CAQRA; Kong et al., 2021) is the latest air quality reanalysis for China and
includes surface fields of PM<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at high spatial (15 km <inline-formula><mml:math id="M44" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15 km) and temporal (1 h) resolution for the period 2013–2018. CAQRA has been
validated with independent observational datasets to reproduce the magnitude
and variability of PM<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in China on a regional scale (Kong et al.,
2021). Furthermore, it has been used to investigate the modulation of daily
air quality in China during winter by regional meteorological conditions and
the large-scale circulation (Jia et al., 2022). We use PM<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> hourly
concentrations from this dataset to calculate the daily average PM<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for DJF 2013–2017. To evaluate the UKESM1-simulated daily PM<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations, we regrid the CAQRA reanalysis to the coarser spatial resolution of UKESM1.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><?xmltex \opttitle{Model evaluation of daily PM${}_{{2.5}}$ concentrations}?><title>Model evaluation of daily 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> concentrations</title>
      <p id="d1e800">We have run the UKESM1 model for 1999–2019 with 2014 emissions. The
extracted daily PM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5<?pagebreak page2832?></mml:mn></mml:msub></mml:math></inline-formula> concentrations are evaluated against PM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
data from the CAQRA reanalysis. A short 3-month period
(January–February–December of 2014, JFD 2014) has been used for a first comparison because UKESM1 emissions are fixed at 2014 levels. The spatial
pattern of winter mean PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in UKESM1 is broadly
similar (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.87</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" 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>, slope <inline-formula><mml:math id="M55" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.89) to that found in CAQRA
during JFD 2014, albeit with lower concentrations over most regions (Fig. 1). The model version used here does not include ammonium nitrate or
formation of anthropogenic secondary organic aerosol, which may partly
explain the underestimation of the PM<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (Butt et al.,
2017; Archibald et al., 2020). However, the results of this study should not
be heavily impacted by this, as we investigate the day-to-day variability of PM<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations rather than PM<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
directly. We define meteorologically coherent regions representing BTH, YRD, and PRD by identifying UKESM1 grid cells where the simulated daily
PM<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are highly correlated (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>)
with those representing Beijing (four grid cells), Shanghai (two grid cells), and Guangzhou (one grid cell), respectively (Fig. 2), following the approach
of Jia et al. (2022). Daily regional PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are then
calculated by averaging grid cell concentrations over these three highly
correlated homogeneous regions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e922">Spatial distributions of winter mean daily
PM<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) across China during JFD 2014 <bold>(a)</bold>
simulated by UKESM1 and in <bold>(b)</bold> the CAQRA reanalysis. UKESM1 grid cells
covering Beijing (four grid cells), Shanghai (two grid cells), and Guangzhou (one grid cell) are marked by red rectangles.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e969">Correlation coefficients of daily mean PM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
over all UKESM1 grid cells with those in the grid cells covering <bold>(a)</bold>
Beijing, <bold>(b)</bold> Shanghai, and <bold>(c)</bold> Guangzhou during DJF 1999–2018. Regions where correlations are higher than 0.7 (dark red shading) are selected to
represent the Beijing–Tianjin–Hebei (BTH), Yangtze River delta (YRD), and Pearl River delta (PRD) regions.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f02.png"/>

      </fig>

      <p id="d1e996">Figure 3a shows the evolution of the daily mean PM<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
from UKESM1 and CAQRA for DJF 2013–2017 over BTH, YRD, and PRD, while Fig. 3b compares their frequency distributions. The daily PM<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from UKESM1 are significantly correlated (<inline-formula><mml:math id="M68" 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>) with those from CAQRA (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula> over BTH; <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula> over YRD; <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula> over
PRD). UKESM1 slightly overestimates the PM<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in BTH, likely because of the rapid emission reductions over the North China Plain
after 2014. The underestimation found for the other two regions, especially
in PRD, is consistent with the spatial distributions seen in Fig. 1 and cannot be attributed to emission controls. Overall, the spatial pattern of
winter mean PM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (Fig. 1) and the temporal evolution of daily PM<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (Fig. 3) can be simulated well over all
three regions, especially over YRD.</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="d1e1095">Comparison of daily mean PM<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) provided by UKESM1
and CAQRA  for BTH, YRD, and PRD during DJF 2013–2017. <bold>(a)</bold> Time series of daily mean PM<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations.
Blue area represents JFD 2014. The values of the Pearson correlation coefficients (<italic>r</italic>) of the daily time series for all
days in DJF 2013–2017 are also displayed. All correlation values are
significant at the 99 % confidence level using a two-tailed
Student's <italic>t</italic> test as indicated in von Storch and
Zwiers (1999). <bold>(b)</bold> Frequency distributions of the daily mean
PM<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{The impact of large-scale circulation on daily PM${}_{{2.5}}$ concentrations}?><title>The impact of large-scale circulation on daily PM<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations</title>
      <p id="d1e1182">The wintertime large-scale circulation over East Asia is reproduced by
UKESM1 by nudging with the ERA-Interim reanalysis. This is dominated by the
“Siberian High”, as seen from the high SLP values centred over north-western Mongolia, and by the “Aleutian Low” to its east and a low pressure over the Maritime Continent (hereafter referred to as the “Maritime Continent Low”) to its south (Fig. 4a). Cold and dry north-westerly lower tropospheric winds over northern China (Fig. 4a) are indicated by negative V850 values (Fig. 4b) and positive U850 values (Fig. 4c). The middle tropospheric East Asian trough
is characterised by low Z500 values over north-eastern China as seen in Fig. S1 in the Supplement. Warm and wet south-easterly winds from the South China Sea and the East China Sea are indicated by positive V850 values and negative U850 values,
bringing precipitation over southern China (Fig. 4b–d). In this study, we
investigate the influence of the large-scale circulation on the variability
of daily PM<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> using 20 winters (DJF 1999–2018) from simulations.</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="d1e1196">Simulated winter mean daily <bold>(a)</bold> sea level pressure (SLP;
hPa, shading) and 850 hPa wind (arrows), <bold>(b)</bold> 850 hPa meridional wind (V850; m s<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),  <bold>(c)</bold> 850 hPa zonal wind (U850; m s<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and <bold>(d)</bold> precipitation (mm d<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
from nudged UKESM1 during DJF 1999–2018.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f04.png"/>

      </fig>

      <p id="d1e1254">We first examine the daily correlations of the PM<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
in each region with circulation variables and precipitation. The YRD region
is shown as an example in Fig. 5 because the circulation patterns are more
complex here (Fig. 4) and this region is less well studied than BTH and PRD, as noted earlier. The patterns reveal that daily PM<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
in the YRD region are negatively correlated with SLP over northern China and
positively correlated over southernmost China and the South China Sea (Fig. 5a). With regards to the wind components, correlations are positive with
V850 over northern China and negative over southern China and the South
China Sea (Fig. 5b) as well as positive with U850 over eastern and central
China (Fig. 5c). Furthermore, PM<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD are
negatively correlated with precipitation over central and south-eastern China (Fig. 5d). The comparison between the sign of these correlation coefficients
and the winter mean patterns (Fig. 4) highlights the large-scale circulation
features that are associated with high PM<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution days over YRD.
These days are mainly characterised by a weak Siberian High, a weak Maritime
Continent Low, weak northerly winds over northern China, weak
southerly/easterly winds over southern/central China, and above-average
westerly winds in eastern China. A weak Siberian High and weak Maritime
Continent Low are identified as the dominant large-scale circulation
features, because the largest coherent negative and positive correlation
values are found for SLP over northern China and the South China Sea. The
area-weighted averages of daily SLP over these two regions (yellow
rectangles in Fig. 5a) are significantly correlated (<inline-formula><mml:math id="M89" 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>) with
PM<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula>, respectively).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1344">Correlation coefficients of daily PM<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD with <bold>(a)</bold> SLP, <bold>(b)</bold> V850, <bold>(c)</bold> U850, and <bold>(d)</bold> precipitation from nudged UKESM1 during DJF 1999–2018.
Dotted regions indicate significant correlations at the 95 % level from a
two-tailed Student's <italic>t</italic> test. Grey shading represents the YRD region. The regions used for the definition of a
circulation-based index for YRD (Eq. 1) are marked by two
yellow rectangles in panel <bold>(a)</bold>.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f05.png"/>

      </fig>

      <p id="d1e1381">To reflect the effect of circulation over the Asian continent and the
adjacent ocean, we use the SLP difference averaged over northern and
southern China (i.e. [43–54<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
102–122<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E] minus [12–22<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
95–111<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E]) to build a north–south SLP gradient-based index for YRD (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for all days in DJF 1999–2018
(Eq. 1). The daily SLP data are normalised by subtracting the mean and dividing by the standard deviation to yield a zero mean and unit variance before calculating the SLP gradient-based index. Negative values of
<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> indicate a weak pressure gradient between the
Siberian High and Maritime Continent Low.
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M100" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">43</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">54</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">102</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">122</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">E</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">E</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
        <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is significantly correlated (<inline-formula><mml:math id="M102" 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>)
with PM<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD on daily timescales (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula>).<?pagebreak page2833?> These results point to a weak pressure gradient between the Siberian High
and Maritime Continent Low as the dominant large-scale circulation pattern
contributing to high PM<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in YRD. Compared with the winter mean patterns (Fig. 4), on days with <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. 6a–d), a weak north–south pressure gradient inhibits the inflow of cold, dry northerly air to eastern China, creating appropriate
conditions for the accumulation of aerosols and suppressing the southward
transport of aerosols away from YRD. Furthermore, a weak north–south pressure gradient also suppresses the inflow of warm, wet oceanic air from
the East China Sea and the South China Sea. The associated reduction in
precipitation is also likely to support high air pollution over YRD due to
reduced wet deposition of PM<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (e.g. Tai et al., 2010; Zhu et al., 2012; Leung et al., 2018). The reverse situation occurs on days with
<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. 6e–h). Regional
transport and wet deposition by precipitation have also been identified to
contribute to the interannual variability in PM<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
over Shanghai in previous studies (e.g. Wang et al., 2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1701">Anomalies (days with <italic>I</italic><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> minus winter mean) of <bold>(a)</bold> sea level pressure (SLP; hPa, shading) and 850 hPa wind (arrows), <bold>(b)</bold> 850 hPa  meridional
wind (V850; m s<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),  <bold>(c)</bold> 850 hPa zonal wind
(U850; m s<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and <bold>(d)</bold> precipitation (mm d<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) from nudged
UKESM1 during DJF 1999–2018 and anomalies (days with <italic>I</italic><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> minus winter mean) of <bold>(e)</bold> SLP, <bold>(f)</bold> V850, <bold>(g)</bold> U850, and <bold>(h)</bold> precipitation. Dotted regions mark statistically significant
differences at the 95 % level (determined through a bootstrap resampling
method). Grey shading represents the YRD region.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f06.png"/>

      </fig>

      <?pagebreak page2834?><p id="d1e1816">We have confirmed the capability of <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to capture
the relationship between the dominant large-scale circulation and daily
PM<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD. To further examine the performance of
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in distinguishing different levels of air
pollution in the region, we compare the distributions of
<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for different percentile thresholds of daily
PM<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 7). We group all winter days over the 20-year period below the 10th percentile (p10) of PM<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations as clean days
(180 d), above the 90th percentile (p90) of PM<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations as heavily polluted days (180 d), between p10 and p50
(p10–50) as moderately clean days (720 d), and between p50 and p90 (p50–90) as moderately polluted days (720 d). The average values of <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with associated 95 % confidence intervals are <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> for heavily polluted days, <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula>
for moderately polluted days, <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> for moderately clean days, and <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> for clean days. These confidence intervals do not overlap, indicating that <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can distinguish
effectively between different levels of air pollution and not just between heavily polluted and clean conditions. This SLP-gradient index,
<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, improves on the capability of the SLP-based
index derived by Jia et al. (2022) that considered only 5 years of winter
data to distinguish PM<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution levels in YRD. We have checked
that heavily polluted days in YRD simulated by UKESM1 are characterised by
both reduced SLP over eastern China for winter 2013–2017, as found in Jia et
al. (2022) for the same period, and enhanced SLP over the Maritime Continent for the longer time period analysed here, i.e. 1999–2018 (Fig. S2). This
indicates that the new SLP-gradient index, which takes a dipole structure
over the Asian continent and the Maritime Continent, encompasses the spatial variability in the large-scale circulation and its relationship with the
winter PM<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD more completely. These results
show that improved relationships between air pollution and the atmospheric
circulation can be derived through the use of long-term modelled time series
with fixed emissions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2073">Frequency distributions of a circulation-based index for
YRD (Eq. 1) for different percentile thresholds of daily mean
PM<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD derived from nudged UKESM1 simulations during DJF 1999–2018. The vertical lines and shading
represent the averages and the associated 95 % confidence intervals,
respectively. Averages are calculated using Tukey's trimean (e.g. Ge et al., 2019). The confidence intervals for these averages are estimated by using bootstrap resampling (e.g. Wang, 2001).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f07.png"/>

      </fig>

      <p id="d1e2092">We conduct a similar analysis for the BTH and PRD regions (Figs. S3–S4 in
the Supplement). A V850-based index over the East Asian coast (yellow
rectangle in Fig. S3c, [31–50<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
113–124<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E]) (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mn mathvariant="normal">850</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">BTH</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and an
SLP-based index over mainland China (yellow rectangle in Fig. S4b,
[23–42<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 102–122<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E])
(<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">PRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are proposed for BTH and PRD, respectively,
based on the largest coherent correlation values with PM<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations. As before, the meteorological fields have been averaged over
the regions covered by those rectangles and normalised before the
calculation of the indices. Both <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mn mathvariant="normal">850</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">BTH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">PRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are significantly correlated (<inline-formula><mml:math id="M141" 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>)
with daily PM<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in BTH (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula>) and in PRD (<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn></mml:mrow></mml:math></inline-formula>) and can be used to distinguish PM<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution levels. Our
analyses suggest that PM<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in both regions is enhanced
under suppressed northerly cold, dry winds over the East Asian coast
(negative <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mn mathvariant="normal">850</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">BTH</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> associated with a weakened Siberian
High (negative <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">PRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and a shallow East Asian trough
at 500 hPa. Combined with the above analysis of the YRD region, weak
transport of northerly cold, dry air as a consequence of a weakened Siberian
High is identified as playing an important role in air pollution accumulation in all three regions (i.e. YRD, BTH, and PRD).</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><?xmltex \opttitle{Influence of large-scale circulation on daily PM${}_{{2.5}}$ sensitivity to emissions}?><title>Influence of large-scale circulation on daily PM<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to emissions</title>
      <p id="d1e2338">We have found that high PM<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in YRD are associated
with suppressed cold, dry air flow from the north and with reduced inflow of
maritime air masses. These circulation patterns are associated with weak
pressure gradients between the Siberian High and the Maritime Continent Low
(negative values of <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Such reduced<?pagebreak page2835?> pressure
gradients may also alter the transport of pollutants into the YRD region from polluted regions to the north and south and suppress the outflow of local
pollutants from the region. To investigate this, we examine the sensitivity
of PM<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in YRD to local emissions and to those from the surrounding upwind and downwind regions. We compare the results from 6 years of the nudged
simulation (2014–2019 meteorology with emissions for the year 2014) with those of three 6-year sensitivity simulations for the same period with reduced emissions over three regions: YRD (red grid cells in Fig. 8), northern China (top blue grid cells in Fig. 8), and southern China (bottom blue grid cells in Fig. 8) as shown in Table 1. In each of the sensitivity simulations, the
main anthropogenic sources of PM<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (sulfur dioxide, black carbon, and organic carbon) are reduced to the values projected for the SSP3-7.0
pathway for 2058 over one of the three regions to avoid using idealised changes. Accordingly, the winter mean emission flux of these sources of
PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> decreases by 41 % from 2014 (CMIP6 historical) to 2058 (CMIP6
SSP3-7.0) for all three regions (Table S1 in the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2397">Spatial distribution of the winter mean daily
PM<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) simulated by UKESM1 across China
during DJF 2014–2018 (shaded colours) and UKESM1 model grid cells representing northern China (top blue grid cells), YRD (red grid cells), and southern China (bottom blue grid cells).</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f08.png"/>

      </fig>

      <p id="d1e2435">The winter daily mean PM<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in YRD during DJF 2014–2018
is 46.9 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (average value over the red grid cells in Fig. 8). After reducing emissions over YRD, northern China, and southern China, the daily mean PM<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in YRD decreases by 3.1, 1.4, and 0.0 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. This
indicates that PM<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution over YRD mainly originates locally
(69 %) and, to a lesser<?pagebreak page2836?> extent, from northern China (31 %), as found in other studies (e.g. Li et al., 2012; Ren et al., 2021). We then focus on heavily polluted days (PM<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> above p90) in YRD, for which the daily
mean PM<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration is 53.9 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> higher than the
winter mean value. Because of this, at the same level of emission reduction,
heavily polluted days are impacted more strongly, and daily mean PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in YRD decreases by 8.5, 3.4, and 1.0 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e2575">To examine the impact of the large-scale circulation on the contribution of
emissions from local and surrounding regions, we show the changes in
PM<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations separately for all days during DJF 2014–2018
with <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in Fig. 9. On days with <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, PM<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution mainly accumulates over northern,
central, and eastern China, with PM<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD exceeding the winter mean by 14.3 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 9a). After reducing
emissions over YRD, northern China, and southern China, the daily mean PM<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in YRD decreases by 3.6, 1.4, and 0.2 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively (Fig. 9b–d). The relative shares of the total reduction (5.2 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) from local (69 %), north
(27 %), and south (4 %) are similar to those for the winter mean. On days with <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, the PM<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD are reduced to 16.6 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> below the
winter mean (Fig. 9e). The reductions in mean PM<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
over YRD from local, north, and south are 2.1 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (57 %), 1.5 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (40 %), and 0.1 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (3 %). The differences in the relative shares for days with <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> reflect the impact of
the atmospheric circulation patterns on the sensitivity of PM<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in
YRD to emissions from local and surrounding regions. Local emissions
contribute more to PM<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution over YRD for days with
<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, because these days are
associated with suppressed transport of pollutants and lower precipitation.
Emissions from northern China contribute more to PM<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution over YRD for days with <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> due to the southward aerosol transport to YRD on these days (e.g. Wang et al., 2016; Jeong and Park, 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2974">PM<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> anomalies with respect to
the winter mean (<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for <bold>(a)</bold>
days with <italic>I</italic><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <bold>(e)</bold> days with
<italic>I</italic><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> during DJF 2014–2018, and PM<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> changes (<inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for the same
days due to emission reductions over <bold>(b, f)</bold> YRD, <bold>(c, g)</bold> northern China, and <bold>(d, h)</bold> southern China. The red box  represents the YRD region. The relative shares of the total PM<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reduction over
YRD from local, north, and south  are labelled in the bottom right of panels <bold>(b)</bold>–<bold>(d)</bold> and <bold>(f)</bold>–<bold>(h)</bold>.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f09.png"/>

      </fig>

      <p id="d1e3124">Note that, although the daily mean PM<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration averaged in
YRD decreases due to emission reductions within the region, some increases
can be found over the coast (eastern edge of the red box in Fig. 9b, f). This is related to the increase in organic carbon emissions from
fossil fuel combustion from historical 2014 to SSP3-7.0 2058 (Fig. S5a) that
leads to increases in both organic matter (Fig. S5b) and PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. S5c) concentrations there. However, the results of this study should not be
heavily impacted by this as we focus on the broader YRD region, where the winter emission changes in the main anthropogenic sources of PM<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> are
dominated by a reduction in sulfur dioxide, leading to a total emission decrease of 41 % from 2014 to 2058 (Table S1).</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><?xmltex \opttitle{Changes in circulation-based indices and PM${}_{{2.5}}$ concentrations under climate change}?><title>Changes in circulation-based indices and PM<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations under climate change</title>
      <p id="d1e3172">We have shown that our SLP gradient-based index (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> performs well in capturing the dominant relationship between the
large-scale circulation and PM<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and in distinguishing PM<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution levels in YRD. This suggests that <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can serve as a robust indicator of PM<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution over YRD,
assuming that its variation is solely due to meteorology. In this section,
we project future PM<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD, using
<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> derived from UKESM1 CMIP6 data from the present
day to the end of the 21st century and the relationship between
PM<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations and <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> derived from the
nudged UKESM1 run for DJF 1999–2018.</p>
      <p id="d1e3287">We compare the winter daily values of <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for the
CMIP6 historical (1999–2014) period from nudged UKESM1 simulations with
those calculated using data from the CMIP6 UKESM1 historical simulation. The
frequency distributions of daily mean <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from these
two datasets match well (Fig. S6), suggesting that the
CMIP6 UKESM1 simulations can be used to project <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
in the future under the SSP3-7.0 scenario. Compared to the present-day
(1995–2014) mean, the projected <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> decreases gradually to mid-century (2039–2058) and end of the century (2079–2098) (Fig. 10). This suggests a weakening of the pressure gradient between the Siberian High and the Maritime Continent Low under climate change.
Furthermore, the interannual variability of <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and therefore of the circulation patterns
affecting PM<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increases from present day until end of the century. We have also examined changes in the circulation-based indices
identified for BTH and PRD (Fig. S7). In contrast to
<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, both <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mn mathvariant="normal">850</mml:mn><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">BTH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">PRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> exhibit little change from the present day to the end of the century.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e3432"><bold>(a)</bold> Time series of winter mean
<italic>I</italic><inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> from
historical (1995–2014) and future (2015–2098, SSP3-7.0) simulations of
UKESM1 in the CMIP6 archive. Blue, orange and red areas represent present
day (1995–2014), mid-century (2039–2058), and end of the century (2079–2098), respectively. <bold>(b)</bold> Frequency distributions of daily mean
<italic>I</italic><inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> during
winter over each period. The horizontal lines and shading represent the mean
values and the associated 95 % confidence intervals, respectively.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2829/2023/acp-23-2829-2023-f10.png"/>

      </fig>

      <p id="d1e3479">The simulated future decrease in <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the negative relationship between <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and PM<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5<?pagebreak page2837?></mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD during DJF 1999–2018 found in Sect. 4 suggest
that PM<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD are likely to increase in the
future as a result of climate-driven changes in circulation in the absence
of future emission changes. To verify this conjecture, we calculate the
expected PM<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations for the different values of
<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the nudged simulation for DJF
1999–2018 (Fig. S8) and derive a relationship that can be
used to estimate PM<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the CMIP6 UKESM1 simulations. As there is
non-linearity and considerable spread, a resampling method is used. We first divide <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> into bins of 0.1 width and then draw 10 000 values randomly from the set of PM<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations within
each bin. The estimated PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in a given bin is
calculated as the mean of the corresponding sample of 10 000 values. Winter
daily PM<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD are calculated first by applying
this relationship to <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values derived from
the CMIP6 UKESM1 historical simulation for 1999–2014. The mean value of
these calculated winter daily PM<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (48.4 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> closely matches that directly diagnosed by nudged UKESM1 (48.3 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
      <p id="d1e3679">We then use the same relationship to project winter daily PM<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD for present day (1995–2014), mid-century
(2039–2058), and end of the century (2079–2098). The mean PM<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration increases from present day (46.3 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) to mid-century (48.9 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and to end of the century (50.1 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. S9). This suggests that winter PM<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
over YRD will continue to increase until the end of the century under the SSP3-7.0 scenario if there is no change in PM<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> emission sources.
Although the SSP3-7.0 pathway encompasses some emission control measures on
the main anthropogenic sources of PM<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Table S1), the expected air
quality improvements are likely to be partially offset by an increase in
PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations associated with a weaker pressure gradient
between the Siberian High and the Maritime Continent Low. UKESM1 simulations
from CMIP6 following the SSP3-7.0 pathway suggest that PM<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in YRD are not expected to change substantially by
mid-century. This indicates that the effects on PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> of the
circulation changes we calculate due to climate change may still play an
important role in the near term despite local emission changes.
Nevertheless, by the end of the 21st century, the benefits from emission reduction measures outweigh any penalties from circulation changes.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Discussion and conclusions</title>
      <?pagebreak page2838?><p id="d1e3824">This study investigates the influence of the large-scale circulation on
daily PM<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations and their sensitivity to local and
regional emissions in China during winter. Using simulations with a
state-of-the-art Earth system model (UKESM1) for DJF 1999–2018 with fixed
2014 emissions, we identify the dominant large-scale circulation patterns
that display the strongest relationships with daily PM<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in major populated regions of China (BTH, YRD, and PRD), with a focus on YRD. The pressure gradient between the Siberian High and the
Maritime Continent Low is found to have a strong relationship with daily
PM<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD (<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula>). This negative correlation
indicates that suppressed cold, dry air flow from the north and reduced
inflow of maritime air associated with a weak north–south pressure gradient contribute to air pollution accumulation in the region. We therefore propose
a new north–south sea level pressure gradient-based index for YRD (<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. There are few existing daily circulation
indices defined for the region, and we demonstrate that
<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can explain the day-to-day variability of
PM<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations and predict the occurrence of heavily polluted
(PM<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> above p90), moderately polluted (PM<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> within p50–90),
moderately clean (PM<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> within p10–50), and clean (PM<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> below p10) days.</p>
      <p id="d1e3948">By performing sensitivity simulations for DJF 2014–2018 with reduced
emissions following the SSP3-7.0 scenario for 2058 over different regions,
we find that local emissions contribute most to PM<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution over
YRD and that the sensitivity to emissions can be affected by the dominant
large-scale circulation patterns. On days with <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, a weak pressure gradient, through reduced transport and
precipitation, supports the accumulation of PM<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> from local emissions
over the region. On days with <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>,
a strong pressure gradient permits effective transport of northerly cold,
dry air contributing to the inflow of air pollutants from northern China.</p>
      <p id="d1e4011">Based on the simulated relationship between PM<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with fixed emissions and the daily values of
<inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> derived from CMIP6 UKESM1 simulations, we
project future changes in PM<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD. We find a
decrease in <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> into the future. This suggests that
winter mean climate-driven PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over the region will
increase over the century under the SSP3-7.0 pathway. We note, however, that
emissions under SSP3-7.0 decrease over the YRD region, which should lead to
reduced PM<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels. Overall, the calculated climate- and emission-driven PM<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from CMIP6 UKESM1 simulations change
little by mid-century. Therefore, future changes in the large-scale
circulation (i.e. a weaker pressure gradient between the Siberian High and the Maritime Continent Low) are likely to remain important in the near term, partly offsetting any reduction in emissions. This highlights the importance
of climate-driven circulation changes in regulating future air quality, as
found in previous studies (e.g. Pei et al., 2020; Yang et al., 2021). More stringent emission controls to offset climate change are required to ensure
future PM<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reductions along this high forcing pathway.</p>
      <p id="d1e4117">Future changes in PM<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations over YRD projected in this
study are driven by circulation changes under a high climate forcing
scenario (SSP3-7.0) and do not consider the effect of emissions of the main
PM<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> components and precursors. We have also projected changes in the
circulation-based index for YRD under two low climate forcing scenarios.
Figure S10 shows the time series of winter mean <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from historical (1995–2014) and future (2015–2098,
SSP1-2.6 and SSP2-4.5) simulations of UKESM1 in the CMIP6 archive. An
overall decrease in <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and an increase in the
interannual variability of <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can also be projected
under the low forcing scenarios, although the <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> decreases are less dramatic than that under SSP3-7.0 (Fig. 10a). The mean
value of <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is reduced from 0.14 in 1995–2014 to
<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> (SSP1-2.6), <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> (SSP2-4.5), and <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> (SSP3-7.0) in 2079–2098. A weakening of the Siberian High is simulated by most CMIP5 and CMIP6 models for global temperature increases of 2 <inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C or more (Miao et al.,
2020; Zhao et al., 2021). Therefore, we expect that a decrease in
<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi mathvariant="normal">SLP</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">YRD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> representing a weaker pressure gradient
between the Siberian High and the Maritime Continent Low is very likely to
be simulated by other climate models as well, especially under high forcing
scenarios.</p>
      <p id="d1e4276">This study benefits from the state-of-the-art Earth system model UKESM1, but
there is still some uncertainty in the simulated PM<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. Like other global models, UKESM1 has a coarse horizontal
resolution (1.875<inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in longitude and 1.25<inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude)
which limits the representation of regional meteorological fields (Chen et
al., 2012; Zha et al., 2020; Xu et al., 2021) that depend on sub-grid-scale processes (e.g. relative humidity, surface wind speed). These may impact their ability to simulate secondary aerosol formation and growth and the
ventilation of air pollutants. Moreover, PM<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations are
generally underestimated in CMIP6 models (Turnock et al., 2020), including
UKESM1, and this may be due to the absence or underrepresentation of some
aerosol formation processes (e.g. nitrate and anthropogenic secondary organic aerosols). Nevertheless, the influence of the winter large-scale
circulation on daily concentrations of PM<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and the sensitivity to
emissions found in this study should not be heavily impacted by this, as
these results are based on the day-to-day variability of PM<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations rather than on absolute PM<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e4347">The python code generated in this study is available upon request (contact author).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4353">The data generated in this study are available upon request (contact author). The daily meteorological data derived from the CMIP6 UKESM1 historical experiment and future scenario SSP3-7.0 are publicly available and the web link is: <uri>https://esgf-node.llnl.gov/search/cmip6/</uri> (ESGF, 2023; last access: 1 March 2023).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4359">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-23-2829-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-23-2829-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4368">ZJ, CO, RMD and OW designed the study. ZJ and STT set up the model. ZJ ran model simulations and performed the analysis. ZJ prepared the paper with contributions from all the co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4374">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="d1e4381">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="d1e4387">Oliver Wild and Ruth M. Doherty thank the Natural Environment Research
Council (NERC) for funding under grant nos. NE/N006925/1, NE/N006976/1, and NE/N006941/1. Steven T. Turnock thanks the UK–China Research and Innovation Partnership Fund through the Met Office Climate Science for Service
Partnership (CSSP) China as part of the Newton Fund. This work made use of
computation resources on the Met Office and NERC joint supercomputer system
(MONSooN) in the UK.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4392">This research has been supported by the Natural Environment Research Council (grant nos. NE/N006925/1, NE/N006976/1, and NE/N006941/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4398">This paper was edited by Aijun Ding and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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