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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-17-2035-2017</article-id><title-group><article-title>Contributions of trans-boundary transport to summertime air quality in
Beijing, China</article-title>
      </title-group><?xmltex \runningtitle{Contributions of trans-boundary transport to summertime air quality}?><?xmltex \runningauthor{J. Wu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Wu</surname><given-names>Jiarui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Li</surname><given-names>Guohui</given-names></name>
          <email>ligh@ieecas.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Cao</surname><given-names>Junji</given-names></name>
          <email>jjcao@ieecas.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bei</surname><given-names>Naifang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Yichen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Feng</surname><given-names>Tian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Huang</surname><given-names>Rujin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liu</surname><given-names>Suixin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zhang</surname><given-names>Qiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tie</surname><given-names>Xuexi</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Lab of Aerosol Chemistry and Physics, SKLLQG, Institute of Earth
Environment, Chinese Academy of Sciences, Xi'an, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Human Settlements and Civil Engineering, Xi'an Jiaotong
University, Xi'an, Shaanxi, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>University of Chinese Academy of Science, Beijing, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Environmental Sciences and Engineering, Tsinghua
University, Beijing, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Guohui Li (ligh@ieecas.cn) and Junji Cao (jjcao@ieecas.cn)</corresp></author-notes><pub-date><day>10</day><month>February</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>3</issue>
      <fpage>2035</fpage><lpage>2051</lpage>
      <history>
        <date date-type="received"><day>4</day><month>August</month><year>2016</year></date>
           <date date-type="rev-request"><day>10</day><month>August</month><year>2016</year></date>
           <date date-type="rev-recd"><day>14</day><month>January</month><year>2017</year></date>
           <date date-type="accepted"><day>16</day><month>January</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</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>
    <p>In the present study, the WRF-CHEM model is used to
evaluate the contributions of trans-boundary transport to the air quality in
Beijing during a persistent air pollution episode from 5 to 14 July 2015 in
Beijing–Tianjin–Hebei (BTH), China. Generally, the predicted temporal
variations and spatial distributions of PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (fine particulate
matter), O<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (ozone), and NO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are in good agreement with
observations in BTH. The WRF-CHEM model also reproduces reasonably well the
temporal variations of aerosol species compared to measurements in Beijing.
The factor separation approach is employed to evaluate the contributions of
trans-boundary transport of non-Beijing emissions to the PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> and
O<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels in Beijing. On average, in the afternoon during the
simulation episode, the local emissions contribute 22.4 % to the O<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
level in Beijing, less than 36.6 % from non-Beijing emissions. The O<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in Beijing are decreased by 5.1 % in the afternoon due to
interactions between local and non-Beijing emissions. The non-Beijing
emissions play a dominant role in the PM<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing, with a
contribution of 61.5 %, much higher than 13.7 %, from Beijing local
emissions. The emission interactions between local and non-Beijing emissions
enhance the PM<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in Beijing, with a contribution of
5.9 %. Therefore, the air quality in Beijing is generally determined by
the trans-boundary transport of non-Beijing emissions during summertime,
showing that the cooperation with neighboring provinces to mitigate
pollutant emissions is key for Beijing to improve air quality.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Beijing, the capital of China, has become an environmentally stressed city
due to a growing population, increasing transportation activity, and city
expansion (Parrish and Zhu, 2009). Beijing is situated in
northeastern China, surrounded from the southwest to the northeast by the
Taihang Mountains and the Yanshan Mountains and open to the North China
Plain (NCP) in the south and east. Unfortunately, the NCP has become one of the
most polluted areas in China due to rapid industrialization and urbanization
(Zhang et al., 2013). When south or east winds are prevalent in the NCP, air
pollutants originating in the NCP are transported to Beijing and surrounding
areas and subject to accumulation due to the mountain blocking, causing
heavy air pollution in Beijing (Long et al., 2016).</p>
      <p>PM<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (fine particulate matter) and O<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (ozone) are considered to be
the most serious air pollutants of concern in Beijing during summertime
(e.g., Xie et al., 2015; Zheng et al., 2015; Chen et al., 2015; Wang et al.,
2016). The mean summertime PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration was about
80 <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M14" 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> in 2013 (R. K. Li et al., 2015), exceeding the second
grade of National Ambient Air Quality Standards (NAAQS) in China and also
exceeding the average PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration of
78.1 <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M17" 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> during the period from 2004 to 2012 (Liu et al.,
2015). During haze pollution events in summer 2014, the PM<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration generally reaches 100 <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M20" 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 even exceeds
150 <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M22" 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> in Beijing (Wang et al., 2016). An increasing
O<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> trend has been observed in Beijing from 2002 to 2010 (Wang et al.,
2012;  Y. H. Wang, 2013). The average maximum 1 h O<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration has been reported
to achieve 140 <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M26" 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> during summertime of 2013 in Beijing
(L. T. Wang et al., 2014). Wang et al. (2016) have demonstrated that the
summertime O<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mass concentration reached high levels in 2014 in Beijing,
with a daily average of up to 110 <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M29" 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>. Chen et al. (2015)
have further shown that the average maximum daily O<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
were higher than 150 <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M32" 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> during the summer in 2015 at most
of the monitoring sites in Beijing.</p>
      <p>In recent years, Beijing has implemented aggressive emission control
strategies to ameliorate the air quality (Parrish and Zhu, 2009). Both
NO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (NO<inline-formula><mml:math id="M34" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>NO<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and total VOCs (volatile organic compounds) in
Beijing have decreased linearly since 2002, while the daytime average
O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration still increased rapidly (Tang et al., 2009; Wang et
al., 2012; Zhang et al., 2014). Zhang et al. (2014) have highlighted the
importance of the trans-boundary transport and the cooperation with
neighboring provinces to control the O<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing. Pollutants
transported from outside of Beijing and formed locally together determine
the air quality in Beijing (Meng et al., 2006; Zhang et al., 2012).</p>
      <p>Several studies have been performed to investigate the role of
trans-boundary transport in the air quality of Beijing based on
observational analyses and model simulations. Using the US EPA (Environmental Protection Agency) Model-3/CMAQ (Community Multiscale Air Quality) model simulation in the Beijing area, Streets et al. (2007)
have pointed out that Hebei Province can contribute 50–70 % of Beijing's
PM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration and 20–30 % of O<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration. Wang et al. (2009) have indicated that O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in Beijing is not only affected
by local emissions, but also influenced by Tianjin and the south of Hebei
Province. The intense regional transport of pollutants from south to north
in the NCP has been proposed to be the main reason for the heavy haze pollution
in January 2013 in Beijing (Sun et al., 2014; Tao et al., 2014; Z. Wang et al.,
2014). Jiang et al. (2015) have demonstrated that the transport from the
environs of Beijing contributed about 55 % of the peak PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration in the city during a heavy haze event in December 2013.</p>
      <p>Since September 2013, the “Atmospheric Pollution Prevention and Control
Action Plan” (hereafter referred to as APPCAP) has been implemented, which
was released by the Chinese State Council to reduce PM<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> by up to
25 % by 2017 relative to 2012 levels. After implementation of the APPCAP,
high PM<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations still can be observed and the O<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
pollution has deteriorated during summertime since 2013 in Beijing (Chen et
al., 2015; Wang et al., 2016). Hence, to support the design of mitigation strategies, studies are imperative to explore the
O<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> formation from various sources and evaluate the
pollutants' contributions from local production and trans-boundary transport
in Beijing.</p>
      <p>The purpose of the present study is to evaluate the contributions of
trans-boundary transport of emissions outside of Beijing to the air quality
in Beijing and interaction of emissions in and outside of Beijing after
APPCAP using the WRF-CHEM model. The model configuration and methodology are
described in Sect. 2. Model results and sensitivity studies are presented
in Sect. 3, and conclusions and discussions are given in Sect. 4.</p>
</sec>
<sec id="Ch1.S2">
  <title>Model and methodology</title>
<sec id="Ch1.S2.SS1">
  <title>WRF-CHEM model</title>
      <p>The WRF-CHEM model used in the study is developed by Li et al. (2010, 2011a,
b, 2012) at the Molina Center for Energy and the Environment, with a new
flexible gas-phase chemical module and the CMAQ aerosol module developed by
the US EPA. The aerosol component of the CMAQ
model is designed to be an efficient and economical depiction of aerosol
dynamics in the atmosphere (Binkowski and Roselle, 2003). The particle size
distribution in the study is represented as the superposition of three
lognormal subdistributions, called modes, which includes the processes of
coagulation, particle growth by the addition of mass, and new particle
formation. Following the work of Kulmala et al. (1998), the new particle
production rate presented here is calculated as a parameterized function of
temperature, relative humidity, and the vapor-phase H<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>
concentration due to binary nucleation of H<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and H<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
vapor, and the new particles are assumed to be 2.0 nm diameter. A number of
recent studies have shown that organic compounds can play an important role
in the nucleation process (Zhang et al., 2009, 2012; R. Y. Zhang, 2015). The contribution
from organic acids likely explains the high levels of aerosol, especially in
polluted urban areas, where large amount of organic acids can be emitted
directly and produced by photochemical oxidation of hydrocarbons (Fan et
al., 2006), which needs to be considered in further studies. The wet
deposition follows the method used in the CMAQ and the surface deposition of
chemical species is parameterized following Wesely (1989). The photolysis
rates are calculated using the FTUV (fast radiation transfer model) (Li et al., 2005, 2011a), in
which the effects of aerosols and clouds on photolysis are considered.</p>
      <p>The inorganic aerosols are predicted in the WRF-CHEM model using ISORROPIA
Version 1.7 (Nenes et al., 1998). The efficient and rapid secondary species
formation in Beijing has been found during the severe haze formation process
in the previous study (Guo et al., 2014). The secondary organic aerosol
(SOA) formation is calculated using a non-traditional SOA module. The
volatility basis set (VBS) modeling method is used in the module, assuming
that primary organic components are semi-volatile and photochemically
reactive and are distributed in logarithmically spaced volatility bins.
Detailed information about the VBS approach can be found in
Li et al. (2011b). Recent studies have shown that small di-carbonyls (glyoxal
and methylglyoxal) are important for the aerosol formation due to their
traffic origin (Zhao et al., 2006; Gomez et al., 2015). Li et al. (2011a)
have indicated that glyoxal and methylglyoxal can contribute about 10 % of
the SOA in the urban area of Mexico City. The SOA formation from glyoxal and
methylglyoxal in this study is parameterized as a first-order irreversible
uptake by aerosol particles and cloud droplets, with a reactive uptake
coefficient of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn>3.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for glyoxal and methylglyoxal (Zhao
et al., 2006; Volkamer et al., 2007; Gomez et al., 2015).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Pollution episode simulation</title>
      <p>A persistent air pollution episode from 5 to 14 July 2015 in
Beijing–Tianjin–Hebei (BTH) is simulated using the WRF-CHEM model. During
the episode, the observed mean daily PM<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration is 73.8 <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M55" 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 the average O<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the afternoon reaches
237.0 <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M58" 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> in Beijing. The maximum of O<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration is
higher than 350 <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M61" 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 the maximum of PM<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration can reach a high level exceeding 150 <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></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>.
Supplement Fig. S1a–c show the daily averages of the temperature, relative
humidity, and wind speed in Beijing during the summer of 2015. The minimum
air temperature is 18.7<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and the maximum air temperature is 40<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> during the summer, with an average of 25.7<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The average
relative humidity is 63.8 %. The southeast or southwest wind is prevailing
over the NCP due to the influence of East Asian summer monsoon (Zhang et al.,
2010), with the average wind speed of 5.6 m s<inline-formula><mml:math id="M68" 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> in the summer of 2015.
During the study period, the average temperature, relative humidity, and
wind speed are 28.4 <inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 51.7 %, and 6.3 m s<inline-formula><mml:math id="M70" 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>, respectively,
indicating typical summertime meteorological conditions. During the summer
of 2015, the average PM<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration is 56.1 <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M73" 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
the average O<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the afternoon is 216.4 <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M76" 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.S1d–e). The high O<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> event occurs frequently
during the summertime of 2015, so the study period can well represent the
summertime O<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in Beijing, and provide a
suitable case for observation analyses and model simulations to investigate
the effect of trans-boundary transport on the summertime air quality of
Beijing.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>WRF-CHEM simulation domain. The blue circles represent centers of
cities with ambient monitoring sites and the red circle denotes the NCNST
site. The size of the blue circle denotes the number of ambient monitoring
sites of cities.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f01.jpg"/>

        </fig>

      <p>The WRF-CHEM model adopts one grid with horizontal resolution of 6 km and 35
sigma levels in the vertical direction, and the grid cells used for the
domain are <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn>200</mml:mn><mml:mo>×</mml:mo><mml:mn>200</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. 1). The physical parameterizations
include the microphysics scheme of Hong and Lim (2006), the
Mellor, Yamada, and Janjic (MYJ) turbulent kinetic energy (TKE) planetary
boundary layer scheme (Janjić, 2002), the unified NOAH land-surface
model (Chen and Dudhia, 2001), the rapid radiative transfer model (RRTM)
long-wave radiation scheme (Mlawer et al., 1997), and the Goddard shortwave
parameterization (Suarex and Chou, 1994; Chou and Suarez, 1999; Chou et al., 2001). The
NCEP <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reanalysis data are used to obtain
the meteorological initial and boundary conditions, and the meteorological
simulations are not nudged in the study. The chemical initial and boundary
conditions are interpolated from the 6 h output of MOZART (Horowitz et al.,
2003). The spin-up time of the WRF-CHEM model is 28 h. The SAPRC-99
(Statewide Air Pollution Research Center, version 1999) chemical mechanism
is used in the present study.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Emissions of major anthropogenic species in July 2013 (Unit:
10<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> g month<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Region</oasis:entry>  
         <oasis:entry colname="col2">VOC</oasis:entry>  
         <oasis:entry colname="col3">NO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">OC</oasis:entry>  
         <oasis:entry colname="col5">SO<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">CO</oasis:entry>  
         <oasis:entry colname="col7">PM<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Beijing Municipality</oasis:entry>  
         <oasis:entry colname="col2">29 303</oasis:entry>  
         <oasis:entry colname="col3">26 272</oasis:entry>  
         <oasis:entry colname="col4">976</oasis:entry>  
         <oasis:entry colname="col5">8796</oasis:entry>  
         <oasis:entry colname="col6">119 254</oasis:entry>  
         <oasis:entry colname="col7">5319</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tianjin Municipality</oasis:entry>  
         <oasis:entry colname="col2">29 255</oasis:entry>  
         <oasis:entry colname="col3">34 534</oasis:entry>  
         <oasis:entry colname="col4">1424</oasis:entry>  
         <oasis:entry colname="col5">23 204</oasis:entry>  
         <oasis:entry colname="col6">181 940</oasis:entry>  
         <oasis:entry colname="col7">8831</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hebei Province</oasis:entry>  
         <oasis:entry colname="col2">101 710</oasis:entry>  
         <oasis:entry colname="col3">190 352</oasis:entry>  
         <oasis:entry colname="col4">12 732</oasis:entry>  
         <oasis:entry colname="col5">136 957</oasis:entry>  
         <oasis:entry colname="col6">1 239 510</oasis:entry>  
         <oasis:entry colname="col7">67 877</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Shanxi Province</oasis:entry>  
         <oasis:entry colname="col2">35 933</oasis:entry>  
         <oasis:entry colname="col3">93 069</oasis:entry>  
         <oasis:entry colname="col4">6381</oasis:entry>  
         <oasis:entry colname="col5">131 758</oasis:entry>  
         <oasis:entry colname="col6">355 823</oasis:entry>  
         <oasis:entry colname="col7">36 473</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Shandong Province</oasis:entry>  
         <oasis:entry colname="col2">246 538</oasis:entry>  
         <oasis:entry colname="col3">235 485</oasis:entry>  
         <oasis:entry colname="col4">12 181</oasis:entry>  
         <oasis:entry colname="col5">246 538</oasis:entry>  
         <oasis:entry colname="col6">937 528</oasis:entry>  
         <oasis:entry colname="col7">77 681</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Spatial distribution of anthropogenic <bold>(a)</bold> NO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, <bold>(b)</bold>
VOC<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi>s</mml:mi></mml:msub></mml:math></inline-formula>,
<bold>(c)</bold> OC, and <bold>(d)</bold> SO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emission rates (g month<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the simulation
domain.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f02.jpg"/>

        </fig>

      <p>The anthropogenic emissions are developed by Zhang et al. (2009), whose work
is based on the 2013 emission inventory, including contributions from
agriculture, industry, power generation, residential, and transportation
sources. The SO<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and CO emissions have been adjusted
according to their observed trends from 2013 to 2015 in the present study,
but the VOC emissions are not changed considering that the VOC
emissions are still not fully considered in the current air pollutant control
strategy. The major pollutant emissions used in the model
simulation for Beijing, Tianjin, and the neighboring provinces (Hebei,
Shanxi, and Shandong) are summarized in Table 1. Obviously, high
anthropogenic emissions are distributed outside of Beijing, especially in
Hebei and Shandong provinces. Figure 2 presents distributions of the
emission rates of VOCs, NO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, OC, and SO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the simulation domain,
showing that the anthropogenic emissions are generally concentrated in urban
areas. As shown in Fig. 2, the total emissions from neighboring regions
are much more than those in Beijing, and the emission rates in Tianjin, the
south of Hebei and Shandong are also higher than those in Beijing,
particularly with regard to SO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions. Therefore, when the south or
east wind is prevailing in the NCP, the severe air pollution can be formed in
Beijing when precursor emissions in highly industrialized areas chemically
react as they are carried toward Beijing, blocked by mountains and further
accumulated and interacted with those in Beijing. It is worth noting that
uncertainties of the emission inventory used in the study are still rather
large considering the rapid changes in anthropogenic emissions
that are not fully reflected in the current emission inventories,
particularly since implementation of the APPCAP, and the complexity of
pollutants precursors. For example, different VOC types exhibit distinct
kinetic behaviors, and as an important fraction of total VOCs in the urban
atmosphere, aromatics are responsible for the photochemical ozone production
and secondary organic aerosol formation (Suh et al., 2003; Fan et al.,
2004). In the SAPRC99, aromatics are lumped into ARO1 and ARO2. ARO1 mainly
includes toluene, benzene, ethylbenzene, and other aromatics with reaction
rate with OH (kOH) less than <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> ppm<inline-formula><mml:math id="M99" 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> min<inline-formula><mml:math id="M100" 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>.
ARO2 includes xylene, trimethylbenzene, and other aromatics with kOH greater
than <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> ppm<inline-formula><mml:math id="M103" 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> min<inline-formula><mml:math id="M104" 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>. Additionally, biogenic VOCs
also play a considerable role in the ozone production (Li et al., 2007), and
monoterpenes and isoprene are the main biogenic VOCs in the SAPRC99 chemical
mechanism. The biogenic emissions are calculated online using the MEGAN
(Model of Emissions of Gases and Aerosol from Nature) model developed by
Guenther et al. (2006).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Factor separation approach</title>
      <p>The formation of the secondary atmospheric pollutant, such as O<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
secondary organic aerosol, and nitrate, is a complicated nonlinear process
in which its precursors from various emission sources and transport react
chemically or reach equilibrium thermodynamically. Nevertheless, it is not
straightforward to evaluate the contributions from different factors in a
nonlinear process. The factor separation approach (FSA) proposed by Stein
and Alpert (1993) can be used to isolate the effect of one single factor
from a nonlinear process and has been widely used to evaluate source effects
(Gabusi et al., 2008; Weinroth et al., 2008; Carnevale et al., 2010; Li et
al., 2014). The total effect of one factor in the presence of others can be
decomposed into contributions from the factor and that from the interactions
of all those factors.</p>
      <p>Suppose that field <inline-formula><mml:math id="M106" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> depends on a factor <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula>:
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M108" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The FSA decomposes function <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> into a constant part that
does not depend on <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>(</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and a
<inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula>-depending component
<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, as follows:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M113" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">0</mml:mn></mml:mfenced><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            considering that there are two factors <inline-formula><mml:math id="M114" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M115" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> that
influence the formation of secondary pollutants in the atmosphere and also
interact with each other. Denoting <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as the simulations including both of the two factors,
factor <inline-formula><mml:math id="M120" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> only, factor <inline-formula><mml:math id="M121" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> only, and neither of the two factors,
respectively. The contributions of factor <inline-formula><mml:math id="M122" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M123" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> can be
isolated as follows:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M124" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Note that term <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mo>(</mml:mo><mml:mi>Y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> represents the
impacts of factor <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>(</mml:mo><mml:mi>Y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, while <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the term
independent of factors <inline-formula><mml:math id="M128" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M129" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>.</p>
      <p>The simulation including both factors <inline-formula><mml:math id="M130" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M131" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> is given by the following:

                <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M132" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The mutual interaction between <inline-formula><mml:math id="M133" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M134" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> can be expressed
as follows:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M135" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>-</mml:mo><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hspace*{6mm}?><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The above equation shows that the study needs four simulations,
<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>X</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>Y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, to evaluate the
contributions of two factors and their synergistic interactions.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Statistical metrics for observation–model comparisons</title>
      <p>In the present study, the mean bias (MB), root mean square error
(RMSE), and index of agreement (IOA) are used as
indicators to evaluate the performance of WRF-CEHM model in simulation
against measurements. IOA describes the relative difference between
the model and observation, ranging from 0 to 1, with 1 indicating perfect
agreement.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M140" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">MB</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced open="(" close=")"><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">IOA</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mfenced close="|" open="|"><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="|" close="|"><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:mfenced></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the predicted and observed pollutant concentrations, respectively.
<inline-formula><mml:math id="M143" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the total number of the predictions used for comparisons, and
<inline-formula><mml:math id="M144" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M145" display="inline"><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> represent the average of the prediction and
observation, respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Hourly mass concentrations of pollutants averaged in the afternoon
at 12 monitoring sites in Beijing during summertime of 2013 and 2015.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Pollutants</oasis:entry>  
         <oasis:entry colname="col2">CO (mg m<inline-formula><mml:math id="M146" 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></oasis:entry>  
         <oasis:entry colname="col3">SO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M148" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M149" 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></oasis:entry>  
         <oasis:entry colname="col4">NO<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M151" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M152" 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></oasis:entry>  
         <oasis:entry colname="col5">O<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M154" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M155" 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></oasis:entry>  
         <oasis:entry colname="col6">PM<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M158" 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></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">2013</oasis:entry>  
         <oasis:entry colname="col2">1.09</oasis:entry>  
         <oasis:entry colname="col3">9.85</oasis:entry>  
         <oasis:entry colname="col4">31.6</oasis:entry>  
         <oasis:entry colname="col5">133.0</oasis:entry>  
         <oasis:entry colname="col6">81.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2015</oasis:entry>  
         <oasis:entry colname="col2">0.88</oasis:entry>  
         <oasis:entry colname="col3">5.71</oasis:entry>  
         <oasis:entry colname="col4">23.6</oasis:entry>  
         <oasis:entry colname="col5">163.2</oasis:entry>  
         <oasis:entry colname="col6">61.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Change (%)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.1</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>22.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.0</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS5">
  <title>Pollutant measurements</title>
      <p>The hourly measurements of O<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> used in the
study are downloaded from the website <uri>http://www.aqistudy.cn/</uri>.
The submicron sulfate, nitrate, ammonium, and organic aerosols are observed
by the Aerodyne Aerosol Chemical Speciation Monitor (ACSM), which is
deployed at the National Center for Nanoscience and Technology (NCNST),
Chinese Academy of Sciences, Beijing (Fig. 1). The mass spectra
of organic aerosols are analyzed using the positive matrix factorization
(PMF) technique to separate them into four components: hydrocarbon-like organic
aerosol (HOA), cooking organic aerosol (COA), coal combustion organic
aerosol (CCOA), and oxygenated organic aerosol (OOA). HOA, COA, and CCOA are
interpreted as surrogates of primary organic aerosol (POA), and OOA is a
surrogate of SOA.</p>
      <p>The APPCAP has been implemented since 2013 September, so comparisons of
summertime pollutants between 2013 and 2015 can show the mitigation effects
on the air quality. Considering that high O<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations generally
take place in the afternoon during summertime, Table 2 presents the
summertime concentrations of pollutants in the afternoon (12:00–18:00
Beijing Time (BJT)) averaged at 12 monitoring sites in Beijing in 2013 and
2015. The rainy days during summertime in Beijing are 43 and 46 days in 2013
and 2015, respectively, showing the similar meteorological conditions
between the 2 years. Therefore, in general, the air pollutant variations
between 2013 and 2015 can be mainly attributed to implementation of the
APPCAP. Apparently, implementation of the APPCAP has considerably decreased
the concentrations of primary species of CO and SO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, particularly with
regard to SO<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which was reduced by more than 40 % from 2013 to 2015. Most
NO<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> exists in the form of NO<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the afternoon during summertime
due to active photochemical processes. Therefore, a 25.1 % decrease of
NO<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the afternoon from 2013 to 2015 shows that the NO<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission
mitigation is also effective in Beijing. The PM<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
decreased by about 24.0 % from 2013 to 2015, approaching the expected
25 % reduction by 2017 relative to 2012 levels. However, the O<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> trend
is not anticipated in Beijing, and O<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations increased from
133.0 <inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M178" 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> in 2013 to 163.2 <inline-formula><mml:math id="M179" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M180" 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> in 2015,
enhanced by 22.8 %. For the discussion convenience, we have defined the
O<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> exceedance with hourly O<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations exceeding 200 <inline-formula><mml:math id="M183" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></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> and PM<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> exceedance with hourly PM<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
exceeding 75 <inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></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>. Although the PM<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> exceedance
frequency in the afternoon has decreased by 25.0 % from 2013 to 2015,
but still remained at 32.7 % in 2015. The O<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> exceedance frequency in 2015
is 31.8 %, enhanced by 57.6 % compared to 20.2 % in 2013. Hence,
during the summertime of 2015, 2 years after implementation of the APPCAP,
Beijing still frequently experienced high O<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and/or PM<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussions</title>
<sec id="Ch1.S3.SS1">
  <title>Model performance</title>
      <p>The hourly measurements of O<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> in
BTH and ACSM-measured aerosol species in Beijing are
used to validate the WRF-CHEM model simulations.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <?xmltex \opttitle{O${}_{{{3}}}$, NO${}_{{{2}}}$, and
PM${}_{{{2.5}}}$ simulations in Beijing}?><title>O<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and
PM<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> simulations in Beijing</title>
      <p>Figure 3 shows the temporal variations of observed and simulated
near-surface O<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations averaged over
monitoring sites in Beijing from 5 to 14 July 2015. The WRF-CHEM model
performs reasonably well in simulating the PM<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> variations compared
with observations in Beijing. The MB and RMSE are <inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.6 and 22.5 <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></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>, respectively, and the
IOA is 0.86. The model reproduces well the temporal variations of
O<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, with an IOA of 0.92. The model considerably
underestimates the O<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration during daytime on 5, 6, and 13 July.
Most of the monitoring sites in Beijing are concentrated in urban areas.
Therefore, if the simulated winds cause the O<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> plume formed in the
urban area to leave early or deviate the O<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> plume transported from
outside of Beijing from the urban area, the model is subject to
underestimating the O<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in Beijing (Bei et al., 2010). The
WRF-CHEM model also reasonably yields the NO<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> diurnal profiles, but
frequently overestimates the NO<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations during nighttime, which
is likely caused by the biased boundary layer simulations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Comparison of measured (black dots) and predicted (blue line)
diurnal profiles of near-surface hourly <bold>(a)</bold> PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(b)</bold> O<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and <bold>(c)</bold>
NO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> averaged over all ambient monitoring stations in Beijing from 5 to
14 July 2015.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Aerosol species simulations in Beijing</title>
      <p>Figure 4 shows the temporal variations of simulated and observed aerosol
species at NCNST site in Beijing from 5 to 14 July 2015. The WRF-CHEM model
generally performs reasonably in simulating the aerosol species variations
compared with ACSM measurements. As a primary aerosol species, the POA in
Beijing is determined by direct emissions from various sources and transport
from outside of Beijing, so uncertainties from emissions and meteorological
fields have a remarkable effect on the model simulations (Bei et al., 2012, 2013).
Although the MB and RMSE for POA are 0.0
and 3.1 <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M217" 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, the IOA is less than 0.60,
indicating the considerable biases in POA simulations. The WRF-CHEM model
has difficulties in simulating well the sulfate aerosol, with an
IOA lower than 0.60. The model cannot produce the observed high
peaks of sulfate aerosols around noontime on 8, 11, and 12 July 2015. The
sulfate aerosol in the atmosphere is produced from multiple sources,
including SO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas-phase oxidations by hydroxyl radicals (OH) and
stabilized Criegee intermediates (sCI), aqueous reactions in cloud or fog
droplets, and heterogeneous reactions on aerosol surfaces, as well as direct
emissions from power plants and industries (Li et al., 2016). The model reproduces
reasonably well the observed temporal variations of SOA, nitrate,
and ammonium, with IOAs exceeding 0.75. The model simulates well the
peak concentration of SOA, nitrate and ammonium at the rush hour, but the
model also underestimates the SOA, nitrate, and ammonium as well, with
MB of <inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1, <inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.7, and <inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5 <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M223" 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. For nitrate and ammonium, the underestimates
occur mainly on 8 July 2015, possibly due to wind fields, which will be
further analyzed in the Supplement (Fig. S2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Comparison of measured (black dots) and simulated (black line)
diurnal profiles of submicron aerosol species of <bold>(a)</bold> POA, <bold>(b)</bold> SOA, <bold>(c)</bold>
sulfate, <bold>(d)</bold> nitrate, and <bold>(e)</bold> ammonium at NCNST site in Beijing from 5 to 14
July 2015.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <?xmltex \opttitle{O${}_{{{3}}}$, NO${}_{{{2}}}$, and
PM${}_{{{2.5}}}$ simulations in BTH}?><title>O<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and
PM<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> simulations in BTH</title>
      <p>Figure 5 shows the diurnal profiles of observed and simulated near-surface
O<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations averaged over monitoring
sites in BTH from 5 to 14 July 2015. The WRF-CHEM model exhibits good
performance in predicting the temporal variations of O<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and
PM<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations compared with measurements in BTH, with
IOAs higher than 0.80. In addition, O<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
simulations are also improved in BTH compared to those in Beijing,
indicating better model performance for regional simulations on a large
scale.</p>
      <p>Figure 6 presents the distributions of calculated and observed near-surface
PM<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations along with the simulated wind fields at 10:00 BJT on the 6 selected representative days with high O<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and PM<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The calculated PM<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> spatial patterns
generally agree well with the observations at the monitoring sites. The
observed PM<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in BTH are still high even after
implementation of the APPCAP, frequently exceeding 75 <inline-formula><mml:math id="M240" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M241" 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> on
the selected 6 days. The PM<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in Beijing are higher
than 115 <inline-formula><mml:math id="M243" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M244" 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> at 10:00 BJT on 8, 11, and 12 July 2015, causing
moderate air pollution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Comparison of measured (black dots) and predicted (blue line)
diurnal profiles of near-surface hourly <bold>(a)</bold> PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(b)</bold> O<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and <bold>(c)</bold>
NO<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> averaged over all ambient monitoring stations in BTH from 5 to 14
July 2015.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f05.png"/>

          </fig>

      <p>The O<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration during summertime reaches its peak during the
period from 14:00 to 16:00 BJT in Beijing (Tang et al., 2012). Figure 7
presents the spatial distribution of calculated and measured near-surface
O<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration at 15:00 BJT on the selected 6 days,
along with the simulated wind fields. In general, the simulated O<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
spatial patterns are consistent with the measurements, but model biases
still exist. High O<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations at 15:00 BJT in Beijing are
observed and also simulated by the model, frequently exceeding 250 <inline-formula><mml:math id="M252" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M253" 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>. The O<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> transport to Beijing from its surrounding areas is
also obvious when the winds are easterly or southerly. Figure 8 provides the
spatial distribution of simulated and observed near-surface NO<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration on the selected 6 days at 08:00 BJT when the NO<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration reaches it peak due to rush hour NO<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions and a low
planetary boundary layer (PBL). The simulated near-surface NO<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations highlight the dominant impact of the anthropogenic
emissions, primarily concentrated in cities or their downwind areas, which
generally agree well with the measurements. Beijing is surrounded from south
to east by cities with high NO<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, which can influence the
O<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in Beijing when south or east winds are prevalent.</p>
      <p>The good agreements between predicted PM<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and
aerosol species and the corresponding measurements show that the modeled
meteorological fields and emissions used in simulations are generally
reasonable.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Pattern comparison of simulated vs. observed near-surface
PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> at 10:00 BJT during the selected periods from 5 to 14 July
2015. Colored circles: PM<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> observations; color contour: PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> simulations; black arrows: simulated surface winds.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f06.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Same as Fig. 6, but for O<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 15:00 BJT.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f07.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Same as Fig. 6, but for NO<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at 08:00 BJT.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f08.jpg"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Contributions of trans-boundary transport to the
O${}_{{{3}}}$ and PM${}_{{{2.5}}}$ levels in
Beijing}?><title>Contributions of trans-boundary transport to the
O<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> levels in
Beijing</title>
<sec id="Ch1.S3.SS2.SSS1">
  <?xmltex \opttitle{Analysis of horizontal transport of O${}_{{{3}}}$ and
PM${}_{{{2.5}}}$}?><title>Analysis of horizontal transport of O<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>The analysis in Sect. 3.1.3 has shown the strong correlation between the
airflow and the high level of pollutants in Beijing during the study
episode. It is essential to confirm whether the continuous air pollution in
Beijing is directly related to the airflow transport from outside of
Beijing (An et al., 2007; Yang et al., 2010). In the present study, the
horizontal transport flux intensity is defined as the horizontal wind speed
on the grid border multiplied by the pollutant concentration of the
corresponding grid from which the airflows come (Jiang et al., 2008).
Considering that trans-boundary transport mainly occurs within the PBL, the
study also focuses on the contribution of trans-boundary transport of
pollutants within the PBL over Beijing and its surrounding areas. Previous
studies have shown that the average mixing layer height is approximately
between 600 and 800 m during summertime, with the maximum during noontime
higher than 1000 m (H. Wang et al., 2015; Tang et al., 2016). Figure 9 shows the
temporal variations of net horizontal transport flux of PM<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
and NO<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> through the Beijing boundary and the pollutant contributions
from non-Beijing emissions to the air quality in Beijing city. The hourly
PM<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> contributions of non-Beijing emissions
generally have the same variation trend as the horizontal transport flux,
indicating that the contribution of surrounding sources plays an important
role in high pollutant concentrations in Beijing during the study episode.
For example, the O<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> net flux also has the similar peak in the
afternoon as the O<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contribution from the non-Beijing emissions. As
discussed in Sect. 3.1.3, the prevailing south wind dominates in BTH, so
the largest flux intensities are from the south, with the average of 103.3 and
244.5 g s<inline-formula><mml:math id="M281" 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> for PM<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, respectively
(Table S1), indicating that the pollutants are mainly from the south. It
should be noted that the flux of O<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is mainly focused in the afternoon
from 12:00 to 18:00 BJT. The average net horizontal transport fluxes for
PM<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during the episode are 68.2 and 68.5 g s<inline-formula><mml:math id="M287" 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>, respectively, showing important contributions of non-Beijing
emissions to the air quality in Beijing.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Temporal variations of total net horizontal transport flux of
PM<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> over the Beijing boundary (blue line) and the
contribution of non-Beijing emission to the PM<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and
NO<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations in Beijing (black line) during the study episode.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Temporal variations of the average near-surface O<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with all the
emissions (black line), <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with Beijing emissions
alone (blue line), and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with non-Beijing emissions
alone (red line) in Beijing from 5 to 14 July 2015.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f10.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <?xmltex \opttitle{Trans-boundary transport contributions to
O${}_{{{3}}}$ in Beijing}?><title>Trans-boundary transport contributions to
O<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in Beijing</title>
      <p>The FSA is used in the present study to evaluate the contributions and
interactions of emissions from Beijing and outside of Beijing to the
near-surface concentrations of O<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing. Four model
simulations are performed, including <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with both
the anthropogenic emissions from Beijing and outside of Beijing,
<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with the emission from Beijing alone,
<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with only emissions outside of Beijing, and
<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> without both the emissions from Beijing and
outside of Beijing, representing background concentrations. Apparently, the
air pollutant levels in Beijing are determined by the contribution from
local emissions (<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the
trans-boundary transport of non-Beijing emissions
(<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, emission
interactions between local and non-Beijing emissions
(<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and background (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Average O<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contributions (%) from 12:00 to 18:00 BJT in
Beijing from local and non-Beijing emissions, as well as the background emissions and interactions of
both emissions from 5 to 14 July 2015.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Emissions</oasis:entry>  
         <oasis:entry colname="col2">Beijing</oasis:entry>  
         <oasis:entry colname="col3">Surroundings</oasis:entry>  
         <oasis:entry colname="col4">Background</oasis:entry>  
         <oasis:entry colname="col5">Interactions</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Date</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">15.5</oasis:entry>  
         <oasis:entry colname="col3">26.1</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M318" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.4</oasis:entry>  
         <oasis:entry colname="col5">60.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">19.8</oasis:entry>  
         <oasis:entry colname="col3">30.9</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M319" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.0</oasis:entry>  
         <oasis:entry colname="col5">52.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">25.5</oasis:entry>  
         <oasis:entry colname="col3">36.0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M320" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.6</oasis:entry>  
         <oasis:entry colname="col5">42.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">27.0</oasis:entry>  
         <oasis:entry colname="col3">36.9</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M321" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.9</oasis:entry>  
         <oasis:entry colname="col5">42.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">23.2</oasis:entry>  
         <oasis:entry colname="col3">35.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M322" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.6</oasis:entry>  
         <oasis:entry colname="col5">46.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10</oasis:entry>  
         <oasis:entry colname="col2">18.6</oasis:entry>  
         <oasis:entry colname="col3">39.9</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M323" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6</oasis:entry>  
         <oasis:entry colname="col5">44.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11</oasis:entry>  
         <oasis:entry colname="col2">29.4</oasis:entry>  
         <oasis:entry colname="col3">48.0</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M324" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.0</oasis:entry>  
         <oasis:entry colname="col5">32.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">12</oasis:entry>  
         <oasis:entry colname="col2">35.4</oasis:entry>  
         <oasis:entry colname="col3">40.6</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M325" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.4</oasis:entry>  
         <oasis:entry colname="col5">35.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13</oasis:entry>  
         <oasis:entry colname="col2">23.4</oasis:entry>  
         <oasis:entry colname="col3">15.2</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5</oasis:entry>  
         <oasis:entry colname="col5">62.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">14</oasis:entry>  
         <oasis:entry colname="col2">20.3</oasis:entry>  
         <oasis:entry colname="col3">32.2</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M327" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.3</oasis:entry>  
         <oasis:entry colname="col5">50.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Average</oasis:entry>  
         <oasis:entry colname="col2">22.4</oasis:entry>  
         <oasis:entry colname="col3">36.6</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M328" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1</oasis:entry>  
         <oasis:entry colname="col5">46.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>Figure 10 provides the temporal variations of the average near-surface
O<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations from <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with
all the emissions, <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with Beijing emissions alone,
and <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with non-Beijing emissions alone in Beijing
from 5 to 14 July 2015. Apparently, non-Beijing emissions generally play a
more important role in the O<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level of Beijing than local emissions.
Even when the Beijing local emissions are excluded, the O<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration in Beijing still remains at a high level, with an average of 153 <inline-formula><mml:math id="M336" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M337" 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 ranging from 130 to 180 <inline-formula><mml:math id="M338" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M339" 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> in the
afternoon. When only considering the Beijing local emission in simulations,
the afternoon average O<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in Beijing is approximately
126.6 <inline-formula><mml:math id="M341" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M342" 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>, varying from 80 to 160 <inline-formula><mml:math id="M343" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M344" 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>. On 13 July,
the contribution from Beijing local emissions exceeds that from non-Beijing
emissions because north winds are prevailing, bringing clean air to Beijing
(Fig. 7f). Table 3 gives the average O<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contributions from 12:00 to
18:00 BJT in Beijing from local emissions, non-Beijing emissions, emission
interactions, and background. The local emissions contribute about 22.4 %
on average in the afternoon to the O<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing, varying from
15.5 to 35.4 %. The non-Beijing emissions contribute more than local
sources, with an average contribution of 36.6 %, ranging from 15.2 to
48.0 %. The emission interactions in Beijing decrease the O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level by
5.1 % on average. O<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation is a nonlinear process, depending
not only on the absolute levels of NO<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOCs, but also the ratio of
VOC<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M351" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (Sillman et al., 1990; Lei et al., 2007, 2008). When the
O<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> precursors emitted from outside of Beijing are transported to
Beijing and mixed with local emissions, the concentrations of O<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
precursors are increased and the ratio of VOC<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M356" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is also
altered, causing the formed O<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration unequal to the simple
linear summation of O<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contributions from the local and non-Beijing
emissions. The background O<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in Beijing plays an important
role in the O<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level in the afternoon, accounting for 46.1 % of the
O<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration. The background O<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contribution varies from
32.6 to 62.9 % during the episode, which is primarily determined by
the prevailing wind direction. When the northerly wind is prevalent, the
clean airflow from the north affects Beijing, enhancing the background
O<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contribution, such as on 5, 13, and 14 July 2015. However, when the
polluted airflow from the south impacts Beijing, the background O<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
contribution is decreased. The O<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contributions in Beijing
induced by the trans-boundary transport of emissions outside of Beijing are
about 31.5 % of the O<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration during the study episodes, which
is in agreement with previous studies (Streets et al., 2007; Wang et al.,
2008), indicating that the trans-boundary transport constitutes the main
reason for the elevated O<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing after implementation of the
APPCAP.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><caption><p>Average PM<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contributions (%) in Beijing from local and non-Beijing emissions, as well as the interactions of
both emissions and background emissions from 5 to 14 July 2015.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Emissions</oasis:entry>  
         <oasis:entry colname="col2">Beijing</oasis:entry>  
         <oasis:entry colname="col3">Surroundings</oasis:entry>  
         <oasis:entry colname="col4">Interactions</oasis:entry>  
         <oasis:entry colname="col5">Background</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Date</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">14.6</oasis:entry>  
         <oasis:entry colname="col3">55.1</oasis:entry>  
         <oasis:entry colname="col4">3.3</oasis:entry>  
         <oasis:entry colname="col5">27.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">14.9</oasis:entry>  
         <oasis:entry colname="col3">56.3</oasis:entry>  
         <oasis:entry colname="col4">3.4</oasis:entry>  
         <oasis:entry colname="col5">25.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">14.2</oasis:entry>  
         <oasis:entry colname="col3">56.4</oasis:entry>  
         <oasis:entry colname="col4">8.0</oasis:entry>  
         <oasis:entry colname="col5">21.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">13.2</oasis:entry>  
         <oasis:entry colname="col3">61.1</oasis:entry>  
         <oasis:entry colname="col4">6.4</oasis:entry>  
         <oasis:entry colname="col5">19.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">15.3</oasis:entry>  
         <oasis:entry colname="col3">61.3</oasis:entry>  
         <oasis:entry colname="col4">6.3</oasis:entry>  
         <oasis:entry colname="col5">17.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10</oasis:entry>  
         <oasis:entry colname="col2">11.5</oasis:entry>  
         <oasis:entry colname="col3">66.5</oasis:entry>  
         <oasis:entry colname="col4">6.2</oasis:entry>  
         <oasis:entry colname="col5">15.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11</oasis:entry>  
         <oasis:entry colname="col2">9.7</oasis:entry>  
         <oasis:entry colname="col3">71.0</oasis:entry>  
         <oasis:entry colname="col4">8.1</oasis:entry>  
         <oasis:entry colname="col5">11.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">12</oasis:entry>  
         <oasis:entry colname="col2">14.2</oasis:entry>  
         <oasis:entry colname="col3">67.6</oasis:entry>  
         <oasis:entry colname="col4">5.6</oasis:entry>  
         <oasis:entry colname="col5">12.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13</oasis:entry>  
         <oasis:entry colname="col2">19.2</oasis:entry>  
         <oasis:entry colname="col3">47.2</oasis:entry>  
         <oasis:entry colname="col4">3.6</oasis:entry>  
         <oasis:entry colname="col5">30.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">14</oasis:entry>  
         <oasis:entry colname="col2">16.6</oasis:entry>  
         <oasis:entry colname="col3">53.1</oasis:entry>  
         <oasis:entry colname="col4">6.4</oasis:entry>  
         <oasis:entry colname="col5">23.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Average</oasis:entry>  
         <oasis:entry colname="col2">13.7</oasis:entry>  
         <oasis:entry colname="col3">61.5</oasis:entry>  
         <oasis:entry colname="col4">5.9</oasis:entry>  
         <oasis:entry colname="col5">18.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>Previous studies have proposed that the regional transport of O<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
precursors can play an important role in inducing the high O<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration level in Beijing (Wang et al., 2009; Zhang et al., 2014).
Table S2 provides the average NO<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> contributions in Beijing from local
emissions, non-Beijing emissions, emission interactions, and background.
Different from O<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, the local emissions dominate the level of NO<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
in the Beijing area, with an average contribution of 70.3 % during the study
episode. The average contribution of non-Beijing emissions, emission
interactions, and background are 24.8, 0.9, and 4.0 %, respectively.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <?xmltex \opttitle{Trans-boundary transport contributions to
PM${}_{{{2.5}}}$ in Beijing}?><title>Trans-boundary transport contributions to
PM<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing</title>
      <p>When the Beijing local emissions are not considered in simulations, Beijing
still experiences high PM<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution, with an average PM<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration of 48.3 <inline-formula><mml:math id="M382" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M383" 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> during the simulation episode, and
the PM<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing still exceeds 75 <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M386" 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> on several
days. However, when only considering the Beijing local emissions, the
average PM<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in Beijing is 19.6 <inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M389" 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> during
the episode, showing that Beijing's PM<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution is dominated by the
trans-boundary transport (Fig. 10b). Table 4 shows the average PM<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
contribution in Beijing from local emissions, non-Beijing emissions,
emission interactions, and background. During the study episode, the average
PM<inline-formula><mml:math id="M392" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contribution from local emissions is 13.7 %, which is much
lower than the contribution of 61.5 % from non-Beijing emissions, further
showing the dominant role of the trans-boundary transport in the Beijing
PM<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution. The emission interactions enhance the PM<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level
in Beijing on average, with a contribution of 5.9 %. The background
PM<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contribution to Beijing is 18.9 % on average, lower than those
for O<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The PM<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contribution caused by the trans-boundary
transport is about 67.4 % of PM<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in Beijing,
indicating that the cooperation with neighboring provinces to control the
PM<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level is key for Beijing to improve air quality. Previous
studies have also demonstrated the dominant role of non-Beijing emissions in
the PM<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing. Based on the CMAQ model, Streets et al. (2007)
have reported that average contribution of regional transport to PM<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
at the Olympic Stadium can be 34 %, up to 50–70 % under prevailing
south winds. Guo et al. (2010) have provided a rough estimation that the
regional transport can contribute 69 % of the PM<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula> and 87 % of
the PM<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn>1.8</mml:mn></mml:msub></mml:math></inline-formula> in the Beijing local area using the short and low time
resolution data in the summer. Combining the PM<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> observations and
MM5–CMAQ model results, regional transport is estimated to contribute
54.6 % of the PM<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration during the polluted period, with an
annual average PM<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contribution of 42.4 % (Lang et al., 2013).
Using the long-term measurements of PM<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations from 2005
to 2010 at urban Beijing, and trajectory cluster and receptor models, the
average contribution of long-distance transport to Beijing's PM<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level can be approximately 75.2 % in the summer (L. L. Wang et al., 2015).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>Trans-boundary transport contributions to aerosol species in
Beijing</title>
      <p>Figure 11 shows the temporal variation of the averaged contributions to the
near-surface aerosol constituents from total emissions
(<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, local emissions
(<inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the trans-boundary transport of
non-Beijing emissions (<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, emission
interactions (<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and the background
(<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during the simulation episode. The
temporal variations of elemental carbon (EC) and POA from local emissions
and trans-boundary transport exhibit obvious diurnal cycles, i.e., highest
during nighttime and lowest in the afternoon, corresponding to the
variations of PBL height and anthropogenic emissions. The SOA from local
emissions reaches its peak in the afternoon when the O<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
is high, but the trans-boundary transport causes the gradual accumulation
process of SOA in Beijing from 5 to 9 July  and from 9 to 13 July. The
sulfate temporal profile from the trans-boundary transport is similar to
that of SOA, also showing the accumulation process. In addition, the sulfate
aerosols from local emissions do not vary remarkably. The nitrate aerosols
from local emissions and the trans-boundary transport generally attain peaks
in the morning when the air temperature is not high and the HNO<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations are not low. The ammonium aerosol variations are generally
determined by those of sulfate and nitrate aerosols. For example, the
variations of ammonium aerosols from the trans-boundary include not only the
morning peaks, but also the accumulation processes from 5 to 9 July  and from
9 to 13 July. Except for the sulfate aerosol, the temporal variations of aerosol
species from background are not large.</p>
      <p>Table 5 presents the average aerosol constituent contributions from Beijing
local emissions, non-Beijing emissions, emission interactions, and the
background, and mass fractions in the total PM<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing during the
episode. Organic aerosols (POA<inline-formula><mml:math id="M417" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SOA) constitute the most important
component of PM<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, accounting for 34.8 % of PM<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration, which is consistent with the ACSM measurement in Beijing (Sun
et al., 2014). In addition, SOA contributes more than 70 % of organic
aerosol mass concentrations. Although the SO<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations have been
decreased by more than 40 % since implementation of the APPCAP, sulfate
aerosols still play an important role in the PM<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing and
make up 25.1 % of the PM<inline-formula><mml:math id="M422" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations, showing high sulfate
contributions from the trans-boundary transport and background. The
ammonium, nitrate, EC, and unspecified species account for 13.7,
14.1, 5.8, and 6.5 % of the PM<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations,
respectively. Secondary aerosol species dominate the PM<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration in Beijing, with a contribution of 77.9 %.</p>
      <p>The local emissions contribute more than 20 % of the mass concentrations
for the primary aerosol species, but less than 15 % for the secondary
aerosol species in Beijing (Table 5). The trans-boundary transport of
non-Beijing emissions dominates all the aerosol species levels in Beijing,
with contributions exceeding 50 %, particularly for SOA and nitrate. In
addition, the POA and sulfate background contributions are also high, more
than 20 %. Although the primary aerosol species of EC and unspecified
constituents are not involved in the chemical process and also do not
participate in the gas-particle partitioning, the emission interactions
still enhance EC and unspecified constituents concentrations, with
contributions of around 1.5 %, which is caused by the PBL–pollution
interaction. It is clear that the PBL–pollution interaction plays an
important role in the pollutant accumulation in Beijing (Y. Wang et al., 2013;
Peng et al., 2016). Mixing of Beijing local emissions with those outside of
Beijing increases the aerosol concentrations in the PBL and decreases the
incoming solar radiation down to the surface, cooling the temperature of the
low-level atmosphere to suppress the development of the PBL and hinder the
aerosol dispersion in the vertical direction.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Aerosol species' contributions (%) from local emissions,
non-Beijing emissions, interactions of both emissions, and background, as
well as mass fraction in the total PM<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> (%) in Beijing averaged during the
period from 5 to 14 July 2015.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Emissions</oasis:entry>  
         <oasis:entry colname="col2">Mass fraction</oasis:entry>  
         <oasis:entry colname="col3">Beijing</oasis:entry>  
         <oasis:entry colname="col4">Surroundings</oasis:entry>  
         <oasis:entry colname="col5">Interactions</oasis:entry>  
         <oasis:entry colname="col6">Background</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Species</oasis:entry>  
         <oasis:entry colname="col2">In total PM<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2">5.8</oasis:entry>  
         <oasis:entry colname="col3">27.0</oasis:entry>  
         <oasis:entry colname="col4">57.9</oasis:entry>  
         <oasis:entry colname="col5">1.5</oasis:entry>  
         <oasis:entry colname="col6">13.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">POA</oasis:entry>  
         <oasis:entry colname="col2">9.8</oasis:entry>  
         <oasis:entry colname="col3">20.8</oasis:entry>  
         <oasis:entry colname="col4">49.0</oasis:entry>  
         <oasis:entry colname="col5">5.3</oasis:entry>  
         <oasis:entry colname="col6">24.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SOA</oasis:entry>  
         <oasis:entry colname="col2">25.0</oasis:entry>  
         <oasis:entry colname="col3">14.6</oasis:entry>  
         <oasis:entry colname="col4">64.2</oasis:entry>  
         <oasis:entry colname="col5">5.9</oasis:entry>  
         <oasis:entry colname="col6">15.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ammonium</oasis:entry>  
         <oasis:entry colname="col2">13.7</oasis:entry>  
         <oasis:entry colname="col3">14.5</oasis:entry>  
         <oasis:entry colname="col4">65.7</oasis:entry>  
         <oasis:entry colname="col5">1.5</oasis:entry>  
         <oasis:entry colname="col6">18.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Nitrate</oasis:entry>  
         <oasis:entry colname="col2">14.1</oasis:entry>  
         <oasis:entry colname="col3">10.1</oasis:entry>  
         <oasis:entry colname="col4">71.7</oasis:entry>  
         <oasis:entry colname="col5">18.1</oasis:entry>  
         <oasis:entry colname="col6">0.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sulfate</oasis:entry>  
         <oasis:entry colname="col2">25.1</oasis:entry>  
         <oasis:entry colname="col3">6.5</oasis:entry>  
         <oasis:entry colname="col4">52.9</oasis:entry>  
         <oasis:entry colname="col5">3.4</oasis:entry>  
         <oasis:entry colname="col6">37.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Unspecified</oasis:entry>  
         <oasis:entry colname="col2">6.5</oasis:entry>  
         <oasis:entry colname="col3">21.2</oasis:entry>  
         <oasis:entry colname="col4">61.4</oasis:entry>  
         <oasis:entry colname="col5">1.6</oasis:entry>  
         <oasis:entry colname="col6">15.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Temporal variations of the average contributions to the
near-surface aerosol species concentrations from total emissions (black
line, defined as <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, local emissions (blue line,
<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, defined as
<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, non-Beijing
emissions (red line, <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, defined as
<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the emission
interactions (green line, <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, defined
as
<inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">BS</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and background (black dashed line, defined as <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
in Beijing from 5 to 14 July 2015.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/2035/2017/acp-17-2035-2017-f11.png"/>

          </fig>

      <p>The emission interactions increase the POA and SOA concentrations, with a
POA contribution of 5.3 % and a SOA contribution of 5.9 %. In the VBS
modeling approach, primary organic components are assumed to be
semi-volatile and photochemically reactive. Mixing of Beijing local
emissions with non-Beijing emissions enhances the organic condensable gases,
and considering that the saturation concentrations of the organic
condensable gases do not change, more organic condensable gases partition
into the particle phase, increasing the POA and SOA concentrations.</p>
      <p>The contributions of emission interactions to inorganic aerosols, including
sulfate, nitrate, and ammonium, are more complicated, depending on their
particle phase and precursor concentrations. In the present study,
ISORROPIA (Version 1.7) is used to calculate the thermodynamic equilibrium
between the sulfate–nitrate–ammonium–water aerosols and their gas phase
precursors H<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>–HNO<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–NH<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–water vapor. Although mixing
of Beijing local emissions with non-Beijing emissions increases inorganic
aerosol precursors, the inorganic aerosol contributions from emission
interactions are still uncertain due to the thermodynamic equilibrium
between inorganic aerosols and their precursors. The nitrate contributions
from emission interactions are 18.1 %, much more than those for other
aerosol constituents. The sulfate contribution from emission interactions is
not significant, only 3.4 %. The ammonium contributions from emission
interactions are 1.5 %, similar to those of primary aerosol species.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>In the present study, a persistent air pollution episode with high
concentrations of O<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> is simulated using the WRF-CHEM
model during the period from 5 to 14 July  2015 in BTH, to evaluate the
contributions of trans-boundary transport to the air quality in Beijing.
Although the APPCAP has been implemented since 2013 September, the average
O<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the afternoon has increased by 22.8 % from 2013
to 2015 in Beijing, and Beijing still experienced high O<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and/or
PM<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations frequently during summertime of 2015.</p>
      <p>In general, the predicted temporal variations of PM<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
and NO<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations agree well with observations in Beijing and BTH,
but the model biases still exist, which are perhaps caused by the
uncertainties of simulated meteorological conditions and the emission
inventory. The model also successfully reproduces the spatial distributions
of PM<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations compared with
measurements. The model performs reasonably well in modeling the variations
of aerosol constituents compared with ACSM measurement at the NCNST site in
Beijing, but there are considerable biases in POA and sulfate simulations.</p>
      <p>The FSA is used to investigate the contribution of trans-boundary transport
of non-Beijing emissions to the air quality in Beijing. If the Beijing local
emissions are not included in model simulations, the O<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in Beijing still remain high, showing that the trans-boundary
transport of emissions outside of Beijing plays a more important role in the
air quality in Beijing than the Beijing local emissions. On average, the
local emissions contribute 22.4 % of O<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the afternoon and 13.7 %
of PM<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations in Beijing during the episode. The O<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
contribution in the afternoon and PM<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> contribution from the
trans-boundary transport of non-Beijing emissions are 36.6 and 61.5 %,
respectively, far exceeding those from local emissions. The interactions
between local and non-Beijing emissions generally decrease the O<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level
in the afternoon and increase the PM<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing during the
episode, with contributions of <inline-formula><mml:math id="M462" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1 and <inline-formula><mml:math id="M463" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.4 %, respectively. In
addition, the trans-boundary transport dominates all the aerosol species
levels in Beijing, with contributions exceeding 50 % on average,
particularly for SOA and nitrate. The emission interactions in general
increase all the aerosol species levels due to the PBL–pollution interaction
and the enhancement of precursors of secondary aerosols. Hence, the air
quality in Beijing during summertime is generally determined by the
trans-boundary transport of emissions outside of Beijing.</p>
      <p>However, there is still controversy over whether local or non-local emissions
play a dominant role in the air quality in Beijing (Guo et al., 2010, 2014;
P. Li et al., 2015; R. Zhang et al., 2015). When only considering the local
emissions, the summertime PM<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> level in Beijing is comparable to that
in Mexico City. Mexico City has once been one of the most polluted cities in
the world, but the air quality has been greatly improved in recent years
after taking emission control strategies (Molina et al., 2002, 2007, 2010).
Therefore, a comprehensive model comparison of summertime pollution in
Mexico City and Beijing would be illuminating for elucidation of the
contributions of trans-boundary transport to the air quality in Beijing.</p>
      <p>It is worth noting that, although the WRF-CHEM model captures the
spatial distributions and temporal variations of pollutants well, the model
biases still exist. The discrepancies between the predictions and
observations are possibly caused by the uncertainties in the emission
inventory and the meteorological field simulations (R. Zhang et al., 2015).
BTH has been considered as a polluted air basin (Zhao et al., 2009;
Parrish and Stockwell, 2015), which frequently experiences O<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution during summertime. Future studies need to be conducted to
improve the WRF-CHEM model simulations, and further to assess the
contributions of trans-boundary transport of emissions outside of Beijing to
the air quality in Beijing, considering the rapid changes in anthropogenic
emissions since implementation of the APPCAP. This study mainly aims at
providing a quantification of the effect of trans-boundary transport on the
air quality in Beijing. It demonstrates that the effective approach to
improving air quality in Beijing is to reduce both local and non-Beijing
emissions in BTH. Further sensitivity simulations of different emission
reduction measures are needed to design the most efficient emission control
strategies.</p>
</sec>
<sec id="Ch1.S5">
  <title>Data availability</title>
      <p>The real-time O<inline-formula><mml:math id="M467" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> are accessible for
the public on the website <uri>http://106.37.208.233:20035/</uri> (China MEP, 2013a). One can
also access the historic profile of observed ambient pollutants through
visiting <uri>http://www.aqistudy.cn/</uri> (China MEP, 2013b).</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-17-2035-2017-supplement" xlink:title="pdf">doi:10.5194/acp-17-2035-2017-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>This work was supported by the National Natural
Science Foundation of China (no. 41275153) and the “Strategic
Priority Research Program” of the Chinese Academy of Science, grant no.
XDB05060500. Guohui Li is also supported by the “Hundred Talents Program”
of the Chinese Academy of Sciences. Naifang Bei is supported by the National
Natural Science Foundation of China (No. 41275101).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: D. Parrish<?xmltex \hack{\newline}?>
Reviewed by: three anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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    <!--<article-title-html>Contributions of trans-boundary transport to summertime air quality in Beijing, China</article-title-html>
<abstract-html><p class="p">In the present study, the WRF-CHEM model is used to
evaluate the contributions of trans-boundary transport to the air quality in
Beijing during a persistent air pollution episode from 5 to 14 July 2015 in
Beijing–Tianjin–Hebei (BTH), China. Generally, the predicted temporal
variations and spatial distributions of PM<sub>2.5</sub> (fine particulate
matter), O<sub>3</sub> (ozone), and NO<sub>2</sub> are in good agreement with
observations in BTH. The WRF-CHEM model also reproduces reasonably well the
temporal variations of aerosol species compared to measurements in Beijing.
The factor separation approach is employed to evaluate the contributions of
trans-boundary transport of non-Beijing emissions to the PM<sub>2.5</sub> and
O<sub>3</sub> levels in Beijing. On average, in the afternoon during the
simulation episode, the local emissions contribute 22.4 % to the O<sub>3</sub>
level in Beijing, less than 36.6 % from non-Beijing emissions. The O<sub>3</sub>
concentrations in Beijing are decreased by 5.1 % in the afternoon due to
interactions between local and non-Beijing emissions. The non-Beijing
emissions play a dominant role in the PM<sub>2.5</sub> level in Beijing, with a
contribution of 61.5 %, much higher than 13.7 %, from Beijing local
emissions. The emission interactions between local and non-Beijing emissions
enhance the PM<sub>2.5</sub> concentrations in Beijing, with a contribution of
5.9 %. Therefore, the air quality in Beijing is generally determined by
the trans-boundary transport of non-Beijing emissions during summertime,
showing that the cooperation with neighboring provinces to mitigate
pollutant emissions is key for Beijing to improve air quality.</p></abstract-html>
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