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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?><?xmltex \hack{\allowdisplaybreaks}?>
  <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-17-11503-2017</article-id><title-group><article-title>The contribution of residential coal combustion to atmospheric <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in northern
China during winter</article-title>
      </title-group><?xmltex \runningtitle{The contribution of residential coal combustion to atmospheric
{$\chem{PM_{{2.5}}}$}}?><?xmltex \runningauthor{P.~Liu et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Liu</surname><given-names>Pengfei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Zhang</surname><given-names>Chenglong</given-names></name>
          <email>clzhang@rcees.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Xue</surname><given-names>Chaoyang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3 aff4">
          <name><surname>Mu</surname><given-names>Yujing</given-names></name>
          <email>yjmu@rcees.ac.cn</email>
        <ext-link>https://orcid.org/0000-0002-7048-2856</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Liu</surname><given-names>Junfeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Zhang</surname><given-names>Yuanyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Tian</surname><given-names>Di</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Ye</surname><given-names>Can</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4350-0892</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Zhang</surname><given-names>Hongxing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Guan</surname><given-names>Jian</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing, 100085, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Excellence in Urban Atmospheric Environment, Institute of Urban Environment, Chinese Academy of Sciences, Xiamen, 361021, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>University of Chinese Academy of Sciences, Beijing, 100049, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Engineering Laboratory for VOCs Pollution Control Material &amp; Technology, University of Chinese Academy of Sciences, Beijing, 100049, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Beijing Urban Ecosystem Research Station, Beijing, 100085, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Environment Monitoring Station of Baoding City, Hebei, 071000, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Chenglong Zhang (clzhang@rcees.ac.cn) and Yujing Mu
(yjmu@rcees.ac.cn)</corresp></author-notes><pub-date><day>27</day><month>September</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>18</issue>
      <fpage>11503</fpage><lpage>11520</lpage>
      <history>
        <date date-type="received"><day>26</day><month>March</month><year>2017</year></date>
           <date date-type="accepted"><day>14</day><month>August</month><year>2017</year></date>
           <date date-type="rev-recd"><day>10</day><month>August</month><year>2017</year></date>
           <date date-type="rev-request"><day>28</day><month>April</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://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>A vast area in northern China, especially during wintertime, is
currently suffering from severe haze events due to the high levels of
atmospheric <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. To recognize the reasons for the high levels of
<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, daily samples of <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were simultaneously
collected at the four sampling sites of Beijing city (BJ), Baoding city (BD),
Wangdu county (WD) and Dongbaituo (DBT) during the winter and spring of
2014–2015. The concentrations of the typical water-soluble ions (WSIs, such
as <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) at DBT
were found to be remarkably higher than those at BJ in the two winters, but
almost the same as those at BJ in the two springs. The evidently greater
concentrations of OC, EC and secondary inorganic ions (<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) at DBT than at WD, BD and BJ
during the winter of 2015 indicated that the pollutants in the rural area
were not due to transportation from neighbouring cities but dominated by
local emissions. As the distinct source of atmospheric OC and EC in the rural
area, the residential coal combustion also made a contribution to secondary
inorganic ions through the emissions of their precursors (<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HCl) as well as heterogeneous or multiphase
reactions on the surface of OC and EC. The average mass proportions of OC,
EC, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> at BD and WD were found to be very
close to those at DBT, but were evidently different from those at BJ,
implying that the pollutants in the cities of WD and BD, which are fully
surrounded by the countryside, were strongly affected by the residential coal
combustion. The <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios at the four sampling sites
were almost the same value (4.8) when the concentrations of <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
were greater than 150 <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, suggesting that the residential
coal combustion could also make a dominant contribution to atmospheric
<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ during the severe pollution period when the air parcels
were usually from southwest–south regions, where a high density of farmers
reside. The evident increase in the number of the species involved in
significant correlations (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) from the countryside to the
cities further confirmed that residential coal combustion was the
dominant source of key species in the rural area. However, the complex
sources including local emissions and regional transportation were
responsible for the atmospheric species in the cities. Strong correlations
among OC, EC, <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were found at the
four sampling sites but only a strong correlation was found between OC (or
EC) and <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> at BJ, implying that the formation rate of
<inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> via heterogeneous or multiphase reactions might be
relatively slower than those of <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.
Based on the chemical mass closure (CMC) method, the contributions of the
primary particle emission from residential coal combustion to atmospheric
<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ, BD, WD and DBT were estimated to be 32, 49, 43 and
58 %, respectively.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>In recent years, a vast area in northern China has frequently
been suffering from severe haze pollution (Chan and Yao, 2008; Zhang et al.,
2012, 2015), which has aroused the attention of the public (Guo et al., 2014;
Huang et al., 2014; Cheng et al., 2016; Wang et al., 2016; J. Liu et al.,
2016). The severe haze pollution is mainly due to the high level of fine
particulate matter with an aerodynamic diameter less than 2.5 <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; Huang et al., 2014; P. Liu et al., 2016). <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
can reduce atmospheric visibility by absorbing or scattering the incident
light (Buseck and Posfai, 1999; Cheng et al., 2006) and increase morbidity
and mortality by penetrating the human bronchi and lungs (Nel, 2005; Poschl,
2005; Peplow, 2014).</p>
      <p>To alleviate the serious haze pollution problems, the Chinese government has
performed a series of control measures for major pollution sources (Zhang
et al., 2012; J. Liu et al., 2016; Li et al., 2016b; Wen et al., 2016). For
example, coal-fired power plants have been forced to install flue gas
desulfurization and denitration (Zhang et al., 2012; Chen et al., 2014), coal
has been replaced with natural gas and electricity in megacities (Wang
et al., 2009; Duan et al., 2012; Zhao et al., 2013a; Tan et al., 2016),
stricter emission standards have been implemented for vehicles and industrial
boilers (Zhang et al., 2012; Tang et al., 2016) and so on, resulting in a
decreasing trend of primary pollutants including <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in recent
years (Ma et al., 2016; Wen et al., 2016; Zhang et al., 2016). However, the
<inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels were still larger than 1000 <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
in some areas of the Beijing–Tianjin–Hebei (BTH) region during the period of
the red alert for haze in December 2016
(<uri>http://english.mep.gov.cn/News_service/media_news/201612/t20161220_369317.shtml</uri>).
The stricter control measures (e.g. stopping production in industries and
construction, and the odd and even number rule) had been performed (Y. Li
et al., 2016), implying that sources other than industries, construction and
vehicles might make dominant contributions to atmospheric <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
the region. Residential coal combustion, which prevails for heating
during winter in the region, was suspected to be a dominant source of
atmospheric <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Although annual residential coal consumption
(about 42 <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">year</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in the BTH region only accounts for a small
fraction (about 11 %) of the total coal consumption
(<uri>http://www.qstheory.cn/st/dfst/201306/t20130607_238302.htm</uri>), the
emission factors of primary pollutants including <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the
residential coal combustion have been found to be about 1–3 orders of
magnitude greater than those from coal combustion of industries and power
plants (Revuelta et al., 1999; Chen et al., 2005; Xu et al., 2006; Zhang
et al., 2008; Geng et al., 2014; Yang et al., 2016). In addition, annual
residential coal consumption mainly focuses on the 4 months in winter.
Although the Chinese government has implemented control measures for
residential coal combustion (e.g. replacement of traditional coal stoves by
new stoves, bituminous coal by anthracite and coal by electricity and
natural gas), the implementation strength of the control measures is still
very limited. Additionally, the promoted new stoves still have large
smoke emissions due to the lack of clean combustion techniques, and the anthracite
is not welcomed by farmers because of its extremely slow combustion rate in
comparison with bituminous coal.</p>
      <p>There are a few studies focusing on the influence of residential coal
combustion on atmospheric particles in northern China. W. Li et al. (2014)
concluded that strong sources of <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in rural residential areas
were from household solid fuel combustion, based on annual mean
<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations observed in urban regions (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mn mathvariant="normal">180</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">171</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and rural villages (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">182</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">154</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in northern China. Duan et al. (2012)
inferred that the lower <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios at the rural site
compared to the urban site were ascribed to coal combustion prevailing in the
rural area. Our previous study revealed that residential coal combustion made
an evident contribution to atmospheric water-soluble ions (WSIs) in Beijing (P.
Liu et al., 2016). Based on Weather Research and Forecasting model coupled
with Chemistry, J. Liu et al. (2016) recently estimated that the residential
sources (solid fuel) contributed 32 and 53 % of the primary
<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the BTH region during the whole year and during
the winter of 2010, respectively.</p>
      <p>In this study, daily samples of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were simultaneously collected at
the four sampling sites (Beijing city, Baoding city, Wangdu county and
Dongbaituo) during the winter and spring of 2014–2015, and the
direct evidence for the influence of residential coal combustion on regional
<inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the region was found, based on the <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels,
<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> composition characteristics, correlations among key species in
<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, back trajectories and chemical mass closure.</p>
</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Sampling sites</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>China <bold>(a)</bold>, the North China Plain <bold>(b)</bold> and Baoding city in
Hebei Province <bold>(c)</bold>. The locations of sampling sites (BJ, BD, WD and DBT) as
well as Tianjin municipality and Shijiazhuang, the provincial capital of Hebei
are marked.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f01.jpg"/>

        </fig>

      <p>The two sampling sites on a rooftop in Beijing city and Dongbaituo were
selected, which have been described in detail by our previous study (P. Liu
et al., 2016), (approximately 25 and 5 <inline-formula><mml:math id="M56" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> above ground, respectively)
of the Research Center for Eco-Environmental Sciences, Chinese Academy of
Sciences (RCEES, CAS) and a field station in the agricultural field of
Dongbaituo village, Baoding, Hebei Province, respectively. Another two
sampling sites in Baoding city and Wangdu county were chosen, both of which
were on the rooftops of local environmental monitoring stations (about 30 and
20 <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> above ground, respectively), which are located in the centres of
the cities and surrounded by some commercial and residential areas. The
spatial locations of the four sampling sites are presented in Fig. 1 and the
distances between Beijing and Baoding, Baoding and Wangdu, Wangdu and
Dongbaituo are about 156, 36 and 12 <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, respectively. Thereafter, the
sampling sites of Beijing, Baoding, Wangdu and Dongbaituo are abbreviated as
BJ, BD, WD and DBT, respectively.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Sample collection and analysis</title>
      <p><inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samples at BJ and DBT were collected simultaneously on PTFE
filters (90 <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>, Millipore) by medium-volume <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samplers
(LaoYing-2034) at a flow rate of 100 <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from 15 January 2014
to 31 May 2015, in winter (15 January–25 February 2014,
18 November 2014–20 January 2015 and 11 February–15 March 2015) and spring
(21 April–4 May 2014 and 20 March–31 May 2015). An enhanced observation at
BJ, BD, WD and DBT was carried out from 21 January to 10 February 2015, and
<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samples were collected in the same way on the quartz fibre
filters (90 <inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>, Munktell). The sampling duration was 24 <inline-formula><mml:math id="M65" display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula>
(from 15:00 to 15:00 of the following day in local time, UTC <inline-formula><mml:math id="M66" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 8). All
the samples were put in the appropriative dishes (90 <inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>, Millipore)
after sampling and preserved in a refrigerator immediately until analysis.</p>
      <p>As for the quartz fibre filters, half of each filter was extracted
ultrasonically with 10 <inline-formula><mml:math id="M68" display="inline"><mml:mi mathvariant="normal">mL</mml:mi></mml:math></inline-formula> of ultrapure water for half an hour. The
solutions were filtered through a micro-porous membrane (pore size,
0.45 <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>; diameter, 13 <inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) before the analysis, and the
WSIs (<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in the treated
filtrates were analysed by ion chromatography (IC, WAYEE IC6200), which has
been described in detail by our previous study (P. Liu et al., 2016).
A quarter of each filter was cut into fragments and digested with
5 <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="normal">mL</mml:mi></mml:math></inline-formula> 65 % <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and 2 <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="normal">mL</mml:mi></mml:math></inline-formula> 30 % <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Li et al., 2015) by a microwave digestion system (SINEO, MASTER-40). The
digestion solution was diluted to 25 <inline-formula><mml:math id="M83" display="inline"><mml:mi mathvariant="normal">mL</mml:mi></mml:math></inline-formula> with ultrapure water to
ensure that the solution acidity was below 10 %, and the trace elements (Al, Mn,
Fe, Cu, Zn, As, Se, Sr, Tl and Pb) in the diluted solution were analysed by
a triple-quadrupole inductively coupled plasma mass spectrometry (ICP-MS/MS,
Agilent 8800). The standard reference material (GBW07427) was also digested
in the same way as the samples and the recoveries of the trace elements were
within the allowable ranges of the certified values (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %).
Another quarter of each filter was analysed by a DRI thermal optical carbon
analyser (DRI-2001A) for carbon components (OC and EC). In addition, the PTFE
filters were only used for analysing the WSIs (P. Liu et al., 2016).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Chemical mass closure</title>
      <p>A chemical mass closure (CMC) method was adopted by considering secondary
inorganic aerosols (SIA, the sum of <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), sea salt and coal combustion (derived from <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), biomass burning (characterized by <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), mineral dust, EC,
primary organic carbon (POC), secondary organic carbon (SOC) and trace
element oxide (TEO; Hsu et al., 2010b;  Zhang et al., 2013;  Mantas et al.,
2014;  Tian et al., 2014;  Kong et al., 2015).</p>
      <p>Atmospheric <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were considered to be from sea salt
(Brewer, 1975;  van Eyk et al., 2011), coal combustion (Bläsing and
Müller, 2012;  Yu et al., 2013;  Wu et al., 2014;  He et al., 2015;  P. Liu
et al., 2016) and biomass burning (Zong et al., 2016;  Yao et al., 2016).
However, biomass burning in the NCP region mainly focuses on the harvest
seasons of summer and autumn (Zong et al., 2016), and a few farmers are
currently combusting crop straws for household cooking and heating because
of the inconvenience of biomass in comparison to coal and liquid gas. Thus,
only sea salt and coal combustion were considered for the estimation of mass
concentrations for atmospheric <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in this study based on
the following equations:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M95" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mtext>ss</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Na</mml:mi><mml:mtext>cc</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Na</mml:mi><mml:mtext>ss</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">35.5</mml:mn></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Na</mml:mi><mml:mtext>cc</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mtext>ss</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">35.5</mml:mn></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Na</mml:mi><mml:mtext>ss</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.18</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where [Cl<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>ss</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] and [Na<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>ss</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] are the mass
concentrations of <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and Na<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> from sea salt, and
[Cl<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] and [Na<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] are the mass concentrations
of <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and Na<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> from coal combustion. The molar ratio of
Cl<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>ss</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>- to Na<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>ss</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at 1.18 was adopted, which
represented the typical ratio from sea salt (Brewer, 1975). The molar ratio
of Cl<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-to-Na<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was chosen to be 1.4 in this
study according to our preliminary measurements from the raw bituminous coal
that prevailed in northern China, and the value of 1.4 has been recorded by the
previous study (Bläsing and Müller, 2012). If the molar ratios of
atmospheric <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>-to-<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were greater than
the value of 1.4 or lower than the value of 1.18, atmospheric <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> would be considered to be entirely from coal combustion or sea
salt.</p>
      <p>Because the average Al content accounts for about 7 % in mineral dust
(Zhang et al., 2003;  Ho et al., 2006;  Hsu et al., 2010a;  Zhang et al.,
2013), the mineral dust was estimated based on the following equation:

                <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M113" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced close="]" open="["><mml:mtext>Mineral dust</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mn mathvariant="normal">0.07</mml:mn></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          POC and SOC were calculated by the EC-tracer <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> method
(Cheng et al., 2011; Zhao et al., 2013b; G. J. Zheng et al., 2015; Cui
et al., 2015) as follows:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M115" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mfenced open="[" close="]"><mml:mtext>POC</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mtext>EC</mml:mtext></mml:mfenced><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mfenced open="[" close="]"><mml:mtext>OC</mml:mtext></mml:mfenced><mml:mo>/</mml:mo><mml:mfenced open="[" close="]"><mml:mtext>EC</mml:mtext></mml:mfenced><mml:msub><mml:mo>)</mml:mo><mml:mtext>pri</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:mfenced open="[" close="]"><mml:mtext>EC</mml:mtext></mml:mfenced><mml:mo>+</mml:mo><mml:mi>M</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mfenced open="[" close="]"><mml:mtext>SOC</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><mml:mtext>OC</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced close="]" open="["><mml:mtext>POC</mml:mtext></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The values of <inline-formula><mml:math id="M116" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> are estimated by linear regression analysis using
the data pairs with the lowest 10 % percentile of ambient
<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios. It should be mentioned that POC could be
underestimated and SOC could be overestimated by the EC-tracer
<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> method, because the lowest 10 % percentile of
<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios measured were usually less than those from
dominant sources of coal combustion and biomass burning in autumn and winter
(Ding et al., 2012; Cui et al., 2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Enrichment factor values for trace elements in
<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f02.jpg"/>

        </fig>

      <p>To estimate the contribution of heavy metal oxide, the enrichment factors
(EFs) of various heavy metal elements were calculated by the following
equation (Hsu et al., 2010b;  Zhang et al., 2013):

                <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M122" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>EF</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mtext>Element</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mo>)</mml:mo><mml:mtext>aerosol</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mtext>Element</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mo>)</mml:mo><mml:mtext>crust</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mtext>Element</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mo>)</mml:mo><mml:mtext>aerosol</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio of the element to Al in aerosols and
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mtext>Element</mml:mtext><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mo>)</mml:mo><mml:mtext>crust</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio of the element to Al in the average crust (Taylor, 1964). According
to the method developed by Landis et al. (2001), the atmospheric concentrations of elements were multiplied by a factor of 0, 0.5
and 1 if their EFs were less than 1, between 1 and 5, and greater than 5, respectively. Based on the EFs (Fig. 2), the equation
for estimating TEO was derived as follows:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M125" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced close="]" open="["><mml:mtext>TEO</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>⋅</mml:mo><mml:mo mathsize="1.5em">(</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">Zn</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">As</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>+</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">Se</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">Tl</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>⋅</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mn</mml:mi></mml:mrow></mml:mfenced><mml:mo mathsize="1.5em">)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The value of 1.3 was the conversion factor of metal abundance to oxide
abundance. It should be mentioned that some other elements such as Cd and Ba
were not measured in this study, probably resulting in underestimating the
proportion of TEO. Nevertheless, the biases are probably insignificant
because the proportion of TEO only accounted for less than 2 % in
<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Meteorological, trace gases and back trajectory</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>The wind speed, wind direction, RH, temperature and
barometric pressure at BD and BJ during the sampling period in the winter of
2015.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f03.jpg"/>

        </fig>

      <p>Meteorological data, including wind speed, wind direction, relative humidity
(RH), temperature, barometric pressure, as well as air quality index (AQI)
based on <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CO, <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ, BD
and WD, were obtained from the Beijing urban ecosystem research station in
RCEES, CAS<?xmltex \hack{\\ }?> (<uri>http://www.bjurban.rcees.cas.cn/</uri>), environmental
protection bureau of Baoding city (<uri>http://bdhb.gov.cn/</uri>) and
environmental monitoring station of Wangdu county
(<uri>http://www.wdx.gov.cn/</uri>), respectively. The meteorological data at BJ
and BD are shown in Fig. 3 and the average concentrations of <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ, BD and WD are listed in Table 2 during the sampling period
in the winter of 2015, which will be discussed in Sect. 3.2 and 3.3.</p>
      <p>The air mass backward trajectories were calculated for 24 <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> through
the National Oceanic and Atmospheric Administration (NOAA) Hybrid
Single-Particle Lagrangian Integrated Trajectory Version 4 model (HYSPLIT 4
model) with global data from the National Centers for Environmental
Prediction (NCEP). The backward trajectories arriving at 500 <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> above
the sampling position were computed at 00:00, 06:00, 12:00 and 18:00 (UTC)
for each sampling day. A K-means cluster method was then used for classifying
the trajectories into several different clusters and suitable clusters were
selected for further analysis.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>The average mass concentrations of WSIs in <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at DBT
and BJ during the sampling period in winter and spring of 2014–2015
(<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><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="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">WSIs</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">Spring </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Winter </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">DBT</oasis:entry>  
         <oasis:entry colname="col3">BJ</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">DBT</oasis:entry>  
         <oasis:entry colname="col6">BJ</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">35.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">35.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">103.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">81.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mn mathvariant="normal">67.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">55.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Comparison of atmospheric WSIs between the two sampling sites of BJ and DBT</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>The mass concentrations of the WSIs in <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at DBT
and BJ during the sampling period in winter and spring of 2014–2015.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f04.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>The <inline-formula><mml:math id="M182" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values of the mass concentrations of WSIs in
<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between DBT and BJ during the sampling period in winter and
spring of 2014–2015.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f05.jpg"/>

        </fig>

      <p>The daily variations of atmospheric WSIs during the sampling periods at BJ
and DBT are shown in Fig. 4. It is evident that the variations of the WSIs
between the two sampling sites of BJ and DBT exhibited similar trends, but
the mass concentrations of the WSIs were remarkably greater at DBT than at
BJ during the two winter seasons. As listed in Table 1, the average
concentrations of the typical WSIs were a factor of 1.5–2.0 greater at DBT
than at BJ during the two winter seasons, whereas they were approximately
the same at the two sampling sites during the two spring seasons. To clearly
reveal the differences, the daily <inline-formula><mml:math id="M184" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values (the concentrations of WSIs at
DBT minus those at BJ) of several typical WSIs as well as the total WSIs
between the two sampling sites of DBT and BJ are individually illustrated in
Fig. 5. With an exception only for <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (typical mineral dust
component), the <inline-formula><mml:math id="M186" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values of <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> between the two sampling sites of DBT and BJ exhibited positive
values during the majority of sampling days in the two winter seasons, implying
that the sources related to mineral dust could be excluded for explaining
clearly higher concentrations of the WSIs at DBT than at BJ. The
sampling site of DBT is adjacent to Baoding city, where the AQI during
winter always ranked among the top three Chinese cities in recent years
(<uri>http://113.108.142.147:20035/emcpublish/</uri>), and hence the
relatively greater concentrations of the WSIs at DBT might be due to the
regional pollution. However, the emissions of pollutants from industries,
power plants and vehicles are usually relatively stable, so could not
account for the remarkable differences in the <inline-formula><mml:math id="M191" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> values between winter
and spring (Fig. 5). If the relatively high concentrations of the WSIs
at DBT during winter were ascribed to the regional pollution, there
would be additional strong sources of them in the area of Baoding. To
explore whether regional pollution was responsible for the relatively
high concentrations of WSIs at DBT in winter, the various species in
<inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> collected simultaneously at DBT and its neighbouring cities of WD, BD
and BJ in the winter of 2015 were further investigated in the following
section.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Daily variations of the species in {$\chem{PM_{{2.5}}}$} at the four sampling sites}?><title>Daily variations of the species in <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Daily variation of the species in <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at
the four sampling sites during the sampling period in the winter of 2015.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f06.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>The mass proportions of OC, EC and WSIs from residential
coal combustion under the flaming and smoldering combustion processes <bold>(a)</bold>,
and the average mass proportions of the typical species in <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the
four sampling sites during the sampling period in the winter of 2015 <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f07.jpg"/>

        </fig>

      <p>The daily variations of the species in <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling
sites also exhibited similar trends (Fig. 6), but there were obvious
differences (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) in the concentrations of OC, EC, <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> among the four
sampling sites, ranked as BJ <inline-formula><mml:math id="M203" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> WD <inline-formula><mml:math id="M204" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> BD <inline-formula><mml:math id="M205" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> DBT. The meteorological
conditions, especially the wind speed and planetary boundary layer (PBL),
play pivotal roles in the dispersion and accumulation of atmospheric
pollutants (Xu et al., 2011; Tao et al., 2012; Sun et al., 2013; Chen et al.,
2015; M. Gao et al., 2016), which can cause spatial and temporal differences
in concentrations of pollutants. As for the sampling sites of BD, WD and DBT,
the meteorological conditions could be considered similar because of the
short distances (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) between them, and hence the spatial
difference in the concentrations of <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the major components
at the three sampling sites was rationally ascribed to the different source
strengths. Although the distance between the sampling sites of BJ and BD is
about 156 <inline-formula><mml:math id="M209" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, there was no significant difference in the wind speeds
between the two sampling sites during the sampling period (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for BJ and <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for BD,
Fig. 3). Therefore, the spatial difference in the concentrations of
<inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the major components between the sampling sites of BJ and
the other three could not be ascribed to the difference in the wind speeds.
Because the information on PBL was not available in the region of Baoding, it
is difficult to discuss the impact of PBL on the spatial difference in the
concentrations of the pollutants. As listed in Table 2, the average
concentration of the total species at DBT was about a factor of 2.7, 1.8 and
1.4 higher than those at BJ, WD and BD, respectively. The largest levels of
the key species in <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at DBT among the four sampling sites
implied that the pollutants at the rural site were not transported through
the air parcel from the neighbouring cities but mainly ascribed to the local
emissions or formation. Vehicles and industries could be rationally excluded
to explain the largest levels of the key species in <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at DBT,
because these sources are very sparse in the rural area around DBT (see
Sect. 3.4). Compared with the cities, the distinct source of atmospheric
pollutants at DBT in winter is the residential coal combustion because
residential coal combustion is prevailingly used for heating and cooking in
rural areas of northern China. The emissions of various pollutants from
residential coal combustion were very large due to the lack of any control
measures, and thick smoke could be seen in the chimneys of residential coal
stoves. The emission factors of OC and EC from residential coal combustion
were reported to be 0.47–7.82 <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> coal and
0.028–2.75 <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> coal, respectively (Chen et al., 2005; Zhang
et al., 2008). The emission factors of various pollutants from a typical
residential coal stove fuelled with raw bituminous coal were also
investigated in our group according to farmers' customary uses of coal stoves
under the alternation cycles of flaming and smoldering (Du et al., 2016; Liu
et al., 2017). The emission factors of OC and EC under the entire combustion
process can be as high as <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.99</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> coal and <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> coal, respectively (Table 3). Considering the
high density of farmers in the rural area, the largest levels of atmospheric
OC and EC at DBT could be rationally ascribed to residential coal combustion.
However, the proportion of WSIs from residential coal combustion (Fig. 7a)
was extremely low compared to that of the atmosphere. Therefore, the largest
levels of the key WSIs in <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at DBT were suspected to occur from
secondary formation via heterogeneous or multiphase reactions, which might
be accelerated by the OC and EC particles (Han et al., 2013; Zhao et al.,
2016) emitted from residential coal combustion.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>The average mass concentrations (Mean <inline-formula><mml:math id="M224" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD) of <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
species, <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites during the
sampling period in the winter of 2015 (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.88}[.88]?><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">Species</oasis:entry>  
         <oasis:entry colname="col2">BJ</oasis:entry>  
         <oasis:entry colname="col3">BD</oasis:entry>  
         <oasis:entry colname="col4">WD</oasis:entry>  
         <oasis:entry colname="col5">DBT</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="normal">24.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mn mathvariant="normal">28.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mn mathvariant="normal">70.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">31.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">57.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mn mathvariant="normal">100.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">42.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Al</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mn</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fe</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cu</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Zn</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">As</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Se</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sr</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tl</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Pb</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mn mathvariant="normal">80.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mn mathvariant="normal">159.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">70.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mn mathvariant="normal">121.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">51.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mn mathvariant="normal">218.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">87.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mn mathvariant="normal">60.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mn mathvariant="normal">63.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">31.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mn mathvariant="normal">181.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mn mathvariant="normal">101.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">39.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>The emission factors (mean <inline-formula><mml:math id="M329" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD; <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> coal) of
OC and EC from residential coal combustion during the flaming combustion
process, the smoldering combustion process and the entire combustion
process.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Emission</oasis:entry>  
         <oasis:entry colname="col2">The flaming</oasis:entry>  
         <oasis:entry colname="col3">The smoldering</oasis:entry>  
         <oasis:entry colname="col4">The entire</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">factors</oasis:entry>  
         <oasis:entry colname="col2">combustion</oasis:entry>  
         <oasis:entry colname="col3">combustion</oasis:entry>  
         <oasis:entry colname="col4">combustion</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">process</oasis:entry>  
         <oasis:entry colname="col3">process</oasis:entry>  
         <oasis:entry colname="col4">process</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.99</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Although the three sampling sites of DBT, WD and BD are closely adjacent, the
lowest concentrations of the key species in <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were observed at
WD, which was probably ascribed to the replacement of coal with natural gas
for the central heating in the county of WD (a main pipe of natural gas is
just across the county); e.g. the average concentration of <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
higher at WD than at BD, whereas the average concentration of <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
showed the opposite pattern (Table 2).</p>
      <p>The city of BD and the county of WD are fully surrounded by countryside with
high farmer density, whereas the city of BJ only neighbours the countryside
in the south–southeast–southwest directions, and thus the residential coal
combustion was also suspected to be responsible for the remarkably higher
concentrations of the key species in <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BD and WD than at BJ.
To confirm the above assumptions, the chemical composition and source
characteristics of the species in <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were further analysed in
the following section.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Chemical composition of {$\chem{PM_{{2.5}}}$} at the four sampling sites}?><title>Chemical composition of <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites</title>
      <p>The average mass proportions of the species in <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the
sampling period at the four sampling sites are illustrated in Fig. 7b. OC,
EC, <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> were found to be the
principal species, accounting for about 82–88 % of the total species in
<inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at each sampling site, which is in line with previous studies
(Zhao et al., 2013a; X. J. Zhao et al., 2013; Tian et al., 2014; Huang
et al., 2014). As for the proportions of individual species, there were
obvious differences between the sampling site of BJ and the sampling sites of
BD, WD and DBT. The average mass proportions of OC and EC at BD, WD and DBT
were very close, accounting for about 45.7–47.1 and 9.0–10.4 % of the
total species in <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively, which were much greater than
those (37.9 % for OC and 7.4 % for EC) at BJ. In contrast to OC and
EC, the average mass proportions of <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (10.1–10.8 %) and
<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (11.2–11.7 %) at BD, WD and DBT were slightly less
than those (15.1 % for <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and 14.0 % for
<inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) at BJ. The obvious differences in the mass proportions of
OC, EC, <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> between the sampling site of BJ
and the sampling sites of BD, WD and DBT indicated that the sources of the
principal species at BJ were different from the other three sampling sites.
The mass proportions of OC, EC, <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> at BD and
WD were very close to those at DBT, implying that residential coal combustion
might also be the dominant source of the species in <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BD and
WD. The residential sector (dominated by residential coal combustion) in the
region of BTH during winter has been recognized as the dominant source of
atmospheric OC and EC (Chen et al., 2017), and was estimated to contribute 85
and 65 % of primary OC and EC emissions, respectively (J. Liu et al.,
2016). Because the sampling sites of DBT, BD and WD are located in or fully
surrounded by a high density of rural areas, the contribution of residential
coal combustion to atmospheric OC and EC at DBT, BD and WD must evidently
exceed the regional values estimated by J. Liu et al. (2016).</p>
      <p>Although the mass proportions of <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> were
evidently lower at BD, WD and DBT than at BJ, the average mass concentrations
of <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> were lower at BJ (Table 2). Atmospheric
<inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> are mainly from secondary formation via
heterogeneous, multiphase or gas-phase reactions, which are dependent on the
concentrations of their precursors (<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and OH
radicals, the surface characteristics and areas of particles, and RH
(Ravishankara, 1997; Wang et al., 2013; Quan et al., 2014; Nie et al., 2014;
He et al., 2014; Yang et al., 2015; B. Zheng et al., 2015). The remarkably
higher concentrations of <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BD,
WD and DBT (Liu et al., 2015) compared to BJ (Table 2) favoured secondary
formation of <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, resulting in the relatively
high concentrations of <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>The back trajectory cluster analysis and the
corresponding <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in Beijing during the sampling
period in the winter of 2015.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f08.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>The correlations between the <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios and
the <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the four sampling sites during the
sampling period in the winter of 2015.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f09.jpg"/>

        </fig>

      <p>As shown in Fig. 8, the major pollution episodes at BJ usually occurred
during the periods with the air parcel from the southwest–south directions,
where farmers reside in high densities, and thus residential coal combustion
might also make an evident contribution to atmospheric pollutants at BJ.
Because the average concentrations of the species in <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were
mainly controlled by the highest concentration values, and the relatively
high concentration level of the species in <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ usually
occurred during the major pollution episodes, the proportions of the species
in <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were dominated by major pollution events. The highest
<inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> proportions and the lowest OC and EC
proportions at BJ among the four sampling sites might be partly ascribed to
the conversions of <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> during the air parcel transportation from the
south–southwest directions. The contribution of the transportation to
atmospheric OC and EC at BJ could be verified by the relations between the
<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios and the <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels (Fig. 9). The
<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios (about <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>) at WD and DBT were
almost independent of the <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels, whereas the
<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios at BJ and BD significantly decreased with
increasing <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels and reached the almost same value (about
<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) as those at WD and DBT when the concentrations of
<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were above 150 <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (the major pollution
events). Because there were relatively sparse emissions from vehicles and
industries at WD and DBT, the almost constant <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>
ratios under the different levels of <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at WD and DBT further
revealed that atmospheric OC and EC were dominated by the local residential
coal combustion. The similar <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios at the four
sampling sites with concentrations of <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> greater than
150 <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> indicated that residential coal combustion also
made a dominant contribution to atmospheric OC and EC in the two cities
during the severe pollution period. Our previous study (C. Liu et al., 2016)
also found that the contribution from residential coal combustion to
atmospheric VOCs increased from 23 to 33 % with increasing pollution
levels in Beijing.</p>
      <p>It should be mentioned that the <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios observed at
DBT and WD were about a factor of 2.7 less than that (13.1) of the emission
from the residential coal combustion and, however, the
<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios observed at BJ and BD were too high to be
explained by direct emissions from diesel (0.4–0.8) and gasoline (3.1)
vehicles (Shah et al., 2004; Geller et al., 2006). The OC emitted from the
residential coal combustion might be easily degraded or volatilized in the
atmosphere, resulting in the relatively low <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios
observed at DBT and WD. In China, aromatic compounds as typical pollutants
from vehicle emissions are very reactive, favouring secondary organic
aerosols (SOAs) formation (Zhang et al., 2017), which was suspected to make
an evident contribution to the <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios at BJ and BD
when the atmospheric EC concentrations were relatively low. For example, the
extremely high <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios (<inline-formula><mml:math id="M405" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 6.0) at BJ and BD only
occurred when the atmospheric EC concentrations were less than
3.2 <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at BJ and 5.4 <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at BD.
Because the atmospheric EC concentrations at BJ and BD were about a factor of
4–6 greater during the major pollution events than during the minor
pollution events, the effect of SOA formation on the
<inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios would be smaller during the major pollution
events if the SOA formation rate was kept constant.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <?xmltex \opttitle{Correlations among the species in {$\chem{PM_{{2.5}}}$}}?><title>Correlations among the species in <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>The correlations of several typical species in <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
at the four sampling sites during the sampling period in the winter of 2015.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">BJ </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">OC</oasis:entry>  
         <oasis:entry colname="col10">EC</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.895<inline-formula><mml:math id="M424" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.634<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.862<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.856<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.899<inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.791<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.803<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.768<inline-formula><mml:math id="M434" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.637<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.905<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.679<inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.660<inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.590<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.804<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.950<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">1</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.718<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.667<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.543<inline-formula><mml:math id="M446" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.834<inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.971<inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.959<inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2">0.845<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.751<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.560<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.848<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.919<inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.838<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">0.895<inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1</oasis:entry>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2">0.849<inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.851<inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.679<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.932<inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.877<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.769<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">0.823<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.936<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">BD </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">OC</oasis:entry>  
         <oasis:entry colname="col10">EC</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.805<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.697<inline-formula><mml:math id="M477" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.556<inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.714<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.659<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.789<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.554<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.560<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.675<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.757<inline-formula><mml:math id="M487" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.022</oasis:entry>  
         <oasis:entry colname="col3">0.107</oasis:entry>  
         <oasis:entry colname="col4">0.491<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.499<inline-formula><mml:math id="M490" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.764<inline-formula><mml:math id="M491" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">1</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.315</oasis:entry>  
         <oasis:entry colname="col3">0.331</oasis:entry>  
         <oasis:entry colname="col4">0.659<inline-formula><mml:math id="M493" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.721<inline-formula><mml:math id="M494" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.920<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.941<inline-formula><mml:math id="M496" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2">0.743<inline-formula><mml:math id="M497" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.576<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.705<inline-formula><mml:math id="M499" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.936<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.674<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.369</oasis:entry>  
         <oasis:entry colname="col8">0.614<inline-formula><mml:math id="M502" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1</oasis:entry>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2">0.698<inline-formula><mml:math id="M503" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.560<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.702<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.939<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.660<inline-formula><mml:math id="M507" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.410</oasis:entry>  
         <oasis:entry colname="col8">0.633<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.984<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">WD </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M515" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">OC</oasis:entry>  
         <oasis:entry colname="col10">EC</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.897<inline-formula><mml:math id="M520" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.226</oasis:entry>  
         <oasis:entry colname="col3">0.457<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.532<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.663<inline-formula><mml:math id="M525" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.598<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.468<inline-formula><mml:math id="M528" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.677<inline-formula><mml:math id="M529" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.712<inline-formula><mml:math id="M530" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.796<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.097</oasis:entry>  
         <oasis:entry colname="col3">0.358</oasis:entry>  
         <oasis:entry colname="col4">0.874<inline-formula><mml:math id="M533" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.552<inline-formula><mml:math id="M534" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.770<inline-formula><mml:math id="M535" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">1</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.306</oasis:entry>  
         <oasis:entry colname="col3">0.563<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.906<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.735<inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.901<inline-formula><mml:math id="M540" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.945<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2">0.463<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.543<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.372</oasis:entry>  
         <oasis:entry colname="col5">0.816<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.471<inline-formula><mml:math id="M545" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.222</oasis:entry>  
         <oasis:entry colname="col8">0.581<inline-formula><mml:math id="M546" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1</oasis:entry>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2">0.553<inline-formula><mml:math id="M547" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.638<inline-formula><mml:math id="M548" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.339</oasis:entry>  
         <oasis:entry colname="col5">0.763<inline-formula><mml:math id="M549" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.510<inline-formula><mml:math id="M550" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.214</oasis:entry>  
         <oasis:entry colname="col8">0.565<inline-formula><mml:math id="M551" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.925<inline-formula><mml:math id="M552" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">DBT </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M554" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M560" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">OC</oasis:entry>  
         <oasis:entry colname="col10">EC</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.721<inline-formula><mml:math id="M563" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.191</oasis:entry>  
         <oasis:entry colname="col3">0.407</oasis:entry>  
         <oasis:entry colname="col4">1</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M566" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.061</oasis:entry>  
         <oasis:entry colname="col3">0.316</oasis:entry>  
         <oasis:entry colname="col4">0.519<inline-formula><mml:math id="M567" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M569" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.241</oasis:entry>  
         <oasis:entry colname="col3">0.161</oasis:entry>  
         <oasis:entry colname="col4">0.579<inline-formula><mml:math id="M570" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.642<inline-formula><mml:math id="M571" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M573" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.133</oasis:entry>  
         <oasis:entry colname="col3">0.109</oasis:entry>  
         <oasis:entry colname="col4">0.458<inline-formula><mml:math id="M574" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.482<inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.744<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">1</oasis:entry>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M578" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.223</oasis:entry>  
         <oasis:entry colname="col3">0.125</oasis:entry>  
         <oasis:entry colname="col4">0.558<inline-formula><mml:math id="M579" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.697<inline-formula><mml:math id="M580" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.928<inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.914<inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OC</oasis:entry>  
         <oasis:entry colname="col2">0.067</oasis:entry>  
         <oasis:entry colname="col3">0.159</oasis:entry>  
         <oasis:entry colname="col4">0.419</oasis:entry>  
         <oasis:entry colname="col5">0.772<inline-formula><mml:math id="M583" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.570<inline-formula><mml:math id="M584" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.293</oasis:entry>  
         <oasis:entry colname="col8">0.557<inline-formula><mml:math id="M585" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1</oasis:entry>  
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EC</oasis:entry>  
         <oasis:entry colname="col2">0.051</oasis:entry>  
         <oasis:entry colname="col3">0.169</oasis:entry>  
         <oasis:entry colname="col4">0.419</oasis:entry>  
         <oasis:entry colname="col5">0.838<inline-formula><mml:math id="M586" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">0.585<inline-formula><mml:math id="M587" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.400</oasis:entry>  
         <oasis:entry colname="col8">0.624<inline-formula><mml:math id="M588" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.977<inline-formula><mml:math id="M589" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M411" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> represent <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p>The correlations among the WSIs, OC and EC in <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four
sampling sites are listed in Table 4. The number of species involved in
significant correlations (<inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) evidently increased from the countryside
to the cities and was 18, 28, 30 and 36 at DBT, WD, BD and BJ, respectively.
The significant correlations among the species could be classified into three
types: (1) associated with OC and EC, (2) associated with <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M593" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and (3) associated with <inline-formula><mml:math id="M594" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Three types of significant
correlations at DBT were independent of each other, whereas they were
involved in interrelation more and more from WD to BJ. The independence of
the three types of significant correlations at DBT further confirmed that
residential coal combustion was the preferentially dominant source of
atmospheric OC and EC. The strong correlations among OC, EC, <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> at DBT indicated that the OC and EC that
emitted from residential coal combustion could quickly accelerate secondary
formation of <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M599" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> via heterogeneous
or multiphase reactions of <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M602" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M603" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HCl. It has been
verified that they are emitted from residential coal combustion (Wang et al.,
2005; Shapiro et al., 2007; Bläsing and Müller, 2010; Meng et al.,
2011; Zhang et al., 2013; Gao et al., 2015; Li et al., 2016a; Huang et al.,
2016). The interrelation for the three types of significant correlations at
WD, BD and BJ implied that complex sources including local emissions and
regional transportation were dominant for atmospheric species in the cities.
The species associated with <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M605" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from
construction and road dust (Yang et al., 2011; Liang et al., 2016) as well as
the species associated with <inline-formula><mml:math id="M606" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from biomass (municipal solid waste)
burning (Gao et al., 2011; J. Li et al., 2014; Yao et al., 2016) in the
cities would accumulate under stagnant air conditions at the earth surface;
meanwhile the OC and EC concentrations could also increase due to the air
parcel transportation with abundant OC and EC in the upper layer from the
south–southwest directions (Fig. 8). It is interesting to note that the
strong correlations among OC, EC, <inline-formula><mml:math id="M607" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M608" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M609" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were found at the four sampling sites, whereas the strong
correlation between OC (or EC) and <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was only found at BJ.
Because the sampling sites of DBT, WD and BD are close to the source of OC
and EC from the residential coal combustion, the strong correlations among
OC, EC, <inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M613" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and the non-existent
correlation between OC (or EC) and <inline-formula><mml:math id="M614" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> implied that the
formation rate of <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> via heterogeneous or multiphase reactions
might be relatively slower than those of <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M618" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The reactive uptake coefficients of <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation by
<inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have been reported to be from <inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on different mineral aerosols and from <inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M624" display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on soot particles (Wu et al., 2011; Song et al., 2012), which
is at least 1 order of magnitude less than those of <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–3.43<inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">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> on soot particles and <inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–1.2<inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on mineral aerosols; Underwood et al., 2001;
Esteve et al., 2004; Ma et al., 2011, 2017). The OC, EC and <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emitted from the residential coal combustion experienced a relatively long
period of transportation to Beijing, resulting in a strong correlation
between OC (or EC) and <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> at BJ.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>The statistical correlations for <inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Zn</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> vs. [Pb]
and <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">As</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Se</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> vs. [Pb] in <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling
sites during the sampling period in the winter of 2015. The uncorrelated
results are also marked below zero on the <inline-formula><mml:math id="M635" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis. The red and black symbols
represent <inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f10.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><caption><p>The correlations between [Zn] vs. [Cu] and [As] vs. [Se] in
<inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites during the sampling
period
in the winter of 2015.</p></caption><oasis:table frame="topbot"><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>  
         <oasis:entry colname="col1">Elements</oasis:entry>  
         <oasis:entry colname="col2">BJ</oasis:entry>  
         <oasis:entry colname="col3">BD</oasis:entry>  
         <oasis:entry colname="col4">WD</oasis:entry>  
         <oasis:entry colname="col5">DBT</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Zn</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M647" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Cu</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.607<inline-formula><mml:math id="M648" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.479<inline-formula><mml:math id="M649" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.620<inline-formula><mml:math id="M650" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.659<inline-formula><mml:math id="M651" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M652" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">As</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Se</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.662<inline-formula><mml:math id="M654" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">0.664<inline-formula><mml:math id="M655" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.959<inline-formula><mml:math id="M656" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.871<inline-formula><mml:math id="M657" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math id="M639" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> represent <inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p>As listed in Table 5, the pronounced correlations for [As] vs. [Se] and [Cu]
vs. [Zn] at the four sampling sites indicated that the two pairs of elements
were from the common sources. Based on the remarkable elevations of As and Se
near a coal-fired power plant in comparison to the background site,
Jayasekher (2009) pointed out that their significant correlation can be used
as the tracer for coal combustion. Because Cu and Zn have been found to be
mainly released from the additives of vehicle-lubricating oils, brake and
tyre wear during transportation activities (Yu et al., 2013; Zhang et al.,
2013; Tan et al., 2016), their significant correlation has been used as a
tracer for vehicle emissions. Both coal combustion and vehicle emissions
could make a contribution to atmospheric Pb (Zhang et al., 2013; J. Gao
et al., 2016), and thus the correlations for [Pb] vs. [Cu <inline-formula><mml:math id="M658" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Zn] and [Pb] vs.
[As <inline-formula><mml:math id="M659" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Se] could reflect their local dominant sources. As shown in Fig. 10, a
moderately strong correlation between [Pb] and [Cu <inline-formula><mml:math id="M660" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Zn] but non-existent
correlation between [Pb] and [As <inline-formula><mml:math id="M661" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Se] was found at BJ, whereas the
correlations at the rural site of DBT indicated that atmospheric Pb, Cu and
Zn at BJ were mainly related to the vehicle emissions, and atmospheric Pb, As
and Se at DBT were dominated by residential coal combustion. Because the
sampling sites of BD and WD were affected by both vehicle emissions and
residential coal combustion, the moderately strong correlations between [Pb]
and [Cu <inline-formula><mml:math id="M662" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Zn] as well as [Pb] and [As <inline-formula><mml:math id="M663" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Se] were found at the two sampling
sites. Although there was a non-existent correlation between [Pb] and [As
<inline-formula><mml:math id="M664" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Se] at BJ, the contribution of residential coal combustion to atmospheric
<inline-formula><mml:math id="M665" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the city of BJ could not be excluded because the trace
elements from coal combustion are mainly present in relatively large
particles (0.8–2.5 <inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), which might quickly deposit near their
sources (Wang et al., 2008).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <?xmltex \opttitle{Source apportionment of {$\chem{PM_{{2.5}}}$} at the four sampling sites}?><title>Source apportionment of <inline-formula><mml:math id="M667" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>The proportions of source species under the constructed
chemical mass closures for <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites during the
sampling period in the winter of 2015. Average mass concentrations of
<inline-formula><mml:math id="M669" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at each sampling site, including all of source species and
unidentified fractions, are also marked above the bars.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f11.jpg"/>

        </fig>

      <p>The source characteristics of <inline-formula><mml:math id="M670" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites were
analysed by the CMC method, which has been described in detail in Sect. 2.3.
The average proportions of the species from different sources in
<inline-formula><mml:math id="M671" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the sampling period at the four sampling sites are
compared in Fig. 11. It is evident that secondary aerosols (SIA <inline-formula><mml:math id="M672" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> SOC)
accounted for the largest proportion (about 32–41 %) in <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
followed by POC (about 24–28 %), EC (about 6–8 %), mineral dust
(about 2–8 %) and <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (about 2–5 %) at the
four sampling sites. The proportion of mineral dust was highest at BJ and
lowest at DBT among the four sampling sites, whereas the proportion of
Cl<inline-formula><mml:math id="M675" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was the other way around. Because the concentrations of
the mineral dust compounds were much higher under stagnant weather conditions
than under clear days at BJ, the remarkably high proportion of mineral dust
at BJ was mainly ascribed to the emissions from road dust and construction
(Liang et al., 2016) during the sampling period. The obviously high
proportion of Cl<inline-formula><mml:math id="M676" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at DBT was ascribed to the emission from
residential coal combustion (Shen et al., 2016). In addition, the proportions
of TEO, K<inline-formula><mml:math id="M677" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>bb</mml:mtext><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>ss</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were less than about
2 %, which were insignificant to the sources of <inline-formula><mml:math id="M679" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the
four sampling sites during the sampling period.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>The estimated contributions of coal combustion to the
<inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites during the sampling period in the
winter of 2015.</p></caption>
          <?xmltex \igopts{width=221.931496pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/11503/2017/acp-17-11503-2017-f12.jpg"/>

        </fig>

      <p>Atmospheric primary organic matter (POM) and Cl<inline-formula><mml:math id="M681" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at the
four sampling sites could be estimated based on
<inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:mtext>POM</mml:mtext><mml:mo>≈</mml:mo><mml:mtext>POC</mml:mtext><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> (Cheung et al., 2005; Hsu
et al., 2010b; Han et al., 2015) and the formulas (1)–(4), respectively. The
sum of POM, EC and Cl<inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at DBT was assumed to be solely from
residential coal combustion, accounting for about 58 % in <inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Fig. 12). Assuming that the ratio of Cl<inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to the sum of POM,
EC and Cl<inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mtext>cc</mml:mtext><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was constant for coal combustion at the four
sampling sites, the primary contribution of coal combustion to atmospheric
<inline-formula><mml:math id="M687" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ, BD and WD could be estimated to be 32, 49 and 43 %
(Fig. 12), respectively. The annual residential coal consumption mainly
focused on the 4 months in winter, accounting for about 11 % of the
total coal consumption in the region of BTH. Because the emission factor of
<inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from residential coal combustion (about
1054–12 910 <inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was about 1–3 orders of magnitude greater
than those from industry boilers or coal power plants (about
16–100 <inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Chen et al., 2005; Zhang et al., 2008), the
estimated proportions of the contribution of coal combustion to atmospheric
<inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the four sampling sites during the winter were mainly
ascribed to residential coal combustion. If only primary <inline-formula><mml:math id="M692" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
considered, the contribution of residential coal combustion to the
primary <inline-formula><mml:math id="M693" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ would be about 59 %, which was
in line with the value of 57 % estimated by J. Liu et al. (2016) for the
winter of 2010 in Beijing.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>Based on the comprehensive analysis of the levels, composition
characteristics, the correlations of the key species in <inline-formula><mml:math id="M694" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
the back trajectories, residential coal combustion in northern China during
winter was found not only to be the dominant source of atmospheric OC, EC,
<inline-formula><mml:math id="M695" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M698" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in rural areas
but also to make an evident contribution to the species in cities. According
to the CMC method, the contributions of the primary particle emission from
residential coal combustion to atmospheric <inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at BJ, BD, WD and
DBT during winter were estimated to be 32, 49, 43 and 58 %, respectively.
Therefore, strict control measures should be implemented for the emissions
from residential coal combustion to mitigate the currently major
<inline-formula><mml:math id="M700" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution during the winter in northern China.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>All data described here are available upon request from the
corresponding authors.</p>
  </notes><notes notes-type="authorcontribution">

      <p>YJM designed the experiments and prepared the manuscript.
PFL and CLZ carried out the experiments and prepared the manuscript. CYX
carried out the experiments. JFL, YYZ, DT and CY were involved in
part of the work. HXZ provided the meteorological data and trace gases in
Beijing. JG provided the meteorological data and trace gases in Baoding and
Wangdu.</p>
  </notes><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. 21477142, 91544211 and 41575121), the Special Fund for Environmental
Research in the Public Interest (No. 201509002) and the projects of the
Strategic Priority Research Program (B) of the Chinese Academy of Sciences
(No. XDB05010100). We sincerely thank Dawei Lu and Chengbin Liu from Guibin
Jiang group (RCEES, CAS) for their support in trace elements
analysis.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Veli-Matti Kerminen  <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>The contribution of residential coal combustion to atmospheric  PM<sub>2. 5</sub> in northern China during winter</article-title-html>
<abstract-html><p class="p">A vast area in northern China, especially during wintertime, is
currently suffering from severe haze events due to the high levels of
atmospheric PM<sub>2. 5</sub>. To recognize the reasons for the high levels of
PM<sub>2. 5</sub>, daily samples of PM<sub>2. 5</sub> were simultaneously
collected at the four sampling sites of Beijing city (BJ), Baoding city (BD),
Wangdu county (WD) and Dongbaituo (DBT) during the winter and spring of
2014–2015. The concentrations of the typical water-soluble ions (WSIs, such
as Cl<sup>−</sup>, NO<sub>3</sub><sup>−</sup>, SO<sub>4</sub><sup>2−</sup> and NH<sub>4</sub><sup>+</sup>) at DBT
were found to be remarkably higher than those at BJ in the two winters, but
almost the same as those at BJ in the two springs. The evidently greater
concentrations of OC, EC and secondary inorganic ions (NO<sub>3</sub><sup>−</sup>,
SO<sub>4</sub><sup>2−</sup>, NH<sub>4</sub><sup>+</sup> and Cl<sup>−</sup>) at DBT than at WD, BD and BJ
during the winter of 2015 indicated that the pollutants in the rural area
were not due to transportation from neighbouring cities but dominated by
local emissions. As the distinct source of atmospheric OC and EC in the rural
area, the residential coal combustion also made a contribution to secondary
inorganic ions through the emissions of their precursors (NO<sub><i>x</i></sub>,
SO<sub>2</sub>, NH<sub>3</sub> and HCl) as well as heterogeneous or multiphase
reactions on the surface of OC and EC. The average mass proportions of OC,
EC, NO<sub>3</sub><sup>−</sup> and SO<sub>4</sub><sup>2−</sup> at BD and WD were found to be very
close to those at DBT, but were evidently different from those at BJ,
implying that the pollutants in the cities of WD and BD, which are fully
surrounded by the countryside, were strongly affected by the residential coal
combustion. The OC ∕ EC ratios at the four sampling sites
were almost the same value (4.8) when the concentrations of PM<sub>2. 5</sub>
were greater than 150 µg m<sup>−3</sup>, suggesting that the residential
coal combustion could also make a dominant contribution to atmospheric
PM<sub>2. 5</sub> at BJ during the severe pollution period when the air parcels
were usually from southwest–south regions, where a high density of farmers
reside. The evident increase in the number of the species involved in
significant correlations (<i>p</i> &lt; 0. 05) from the countryside to the
cities further confirmed that residential coal combustion was the
dominant source of key species in the rural area. However, the complex
sources including local emissions and regional transportation were
responsible for the atmospheric species in the cities. Strong correlations
among OC, EC, Cl<sup>−</sup>, NO<sub>3</sub><sup>−</sup> and NH<sub>4</sub><sup>+</sup> were found at the
four sampling sites but only a strong correlation was found between OC (or
EC) and SO<sub>4</sub><sup>2−</sup> at BJ, implying that the formation rate of
SO<sub>4</sub><sup>2−</sup> via heterogeneous or multiphase reactions might be
relatively slower than those of NO<sub>3</sub><sup>−</sup>, NH<sub>4</sub><sup>+</sup> and Cl<sup>−</sup>.
Based on the chemical mass closure (CMC) method, the contributions of the
primary particle emission from residential coal combustion to atmospheric
PM<sub>2. 5</sub> at BJ, BD, WD and DBT were estimated to be 32, 49, 43 and
58 %, respectively.</p></abstract-html>
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