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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-17-3823-2017</article-id><title-group><article-title>Nitrate transboundary heavy pollution over East Asia in winter</article-title>
      </title-group><?xmltex \runningtitle{Nitrate transboundary heavy pollution over East Asia in winter}?><?xmltex \runningauthor{S. Itahashi et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Itahashi</surname><given-names>Syuichi</given-names></name>
          <email>isyuichi@criepi.denken.or.jp</email>
        <ext-link>https://orcid.org/0000-0001-7567-7831</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Uno</surname><given-names>Itsushi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Osada</surname><given-names>Kazuo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3100-5835</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff9">
          <name><surname>Kamiguchi</surname><given-names>Yusuke</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7567-7831</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Yamamoto</surname><given-names>Shigekazu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Tamura</surname><given-names>Kei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Wang</surname><given-names>Zhe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9835-6325</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Kurosaki</surname><given-names>Yasunori</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Kanaya</surname><given-names>Yugo</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Environmental Science Research Laboratory, Central Research Institute
of Electric Power Industry, 1646 Abiko, <?xmltex \hack{\newline}?>Abiko-shi, Chiba 270-1194, Japan</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Research Institute for Applied Mechanics, Kyushu University, 6-1
Kasuga Park, Kasuga, Fukuoka 816-8580, Japan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Graduate School of Environmental Studies, Nagoya University, D2-1
(510) Furo-cho, Chikusa-ku, Nagoya, <?xmltex \hack{\newline}?>Aichi 464-8601, Japan</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Fukuoka Institute of Health and Environmental Sciences, 39 Mukaizano,
Dazaifu-shi, Fukuoka 818-0135, Japan</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Nagasaki Prefectural Environmental Affairs Department, 2-1306-11
Ikeda, Omura, Nagasaki 856-0026, Japan</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institute of Atmospheric Physics, Chinese Academy of Sciences, 40
Huayanli, Chaoyang, Beijing 100029, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Arid Land Research Center, Tottori University, 1390 Hamasaka,
Tottori 680-0001, Japan</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Japan Agency for Marine-Earth Science and Technology, 3173-25
Showa-machi, Kanazawa-ku, Yokohama, <?xmltex \hack{\newline}?>Kanagawa 236-0001, Japan</institution>
        </aff>
        <aff id="aff9"><label>a</label><institution>present address: JCB Co. Ltd., Tokai Regional Office, 2-16-26,
Nishiki, Naka-ku, Nagoya, Aichi 460-0003, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Syuichi Itahashi (isyuichi@criepi.denken.or.jp)</corresp></author-notes><pub-date><day>20</day><month>March</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>6</issue>
      <fpage>3823</fpage><lpage>3843</lpage>
      <history>
        <date date-type="received"><day>3</day><month>October</month><year>2016</year></date>
           <date date-type="rev-request"><day>14</day><month>November</month><year>2016</year></date>
           <date date-type="rev-recd"><day>13</day><month>February</month><year>2017</year></date>
           <date date-type="accepted"><day>27</day><month>February</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>High PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations of around
100 <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were observed twice during an intensive
observation campaign in January 2015 at Fukuoka (33.52<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
130.47<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in western Japan. These events were analyzed
comprehensively with a regional chemical transport model and synergetic
ground-based observations with state-of-the-art measurement systems, which
can capture the behavior of secondary inorganic aerosols (SO<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msubsup><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>,
NO<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and NH<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The first episode of high PM<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration was dominated by NO<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (type N) and the second episode
by SO<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msubsup><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> (type S). The concentration of NH<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (the counterion
for SO<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was high for both types. A sensitivity
simulation in the chemical transport model showed that the dominant
contribution was from transboundary air pollution for both types. To
investigate the differences between these types further, the chemical
transport model results were examined, and a backward trajectory analysis was
used to provide additional information. During both types of episodes, high
concentrations of NO<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were found above China, and an air mass that
originated from northeast China reached Fukuoka. The travel time from the
coastline of China to Fukuoka differed between types: it was 18 h for type N
and 24 h for type S. The conversion ratio of SO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to SO<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msubsup><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="M18" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was less than 0.1 for type N, but reached 0.3 for type S as
the air mass approached Fukuoka. The higher <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for type S was
related to the higher relative humidity and the concentration of HO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
which produces H<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the most effective oxidant for the
aqueous-phase production of SO<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msubsup><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>. Analyzing the gas ratio as an
indicator of the sensitivity of NO<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to changes in SO<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msubsup><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
NH<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> showed that the air mass over China was NH<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich for
type N, but almost NH<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral for type S. Thus, although the high
concentration of NO<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> above China gradually decreased during
transport from China to Fukuoka, higher NO<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations were
maintained during transport owing to the lower SO<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msubsup><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> for type N. In
contrast, for type S, the production of SO<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msubsup><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> led to the
decomposition of NH<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and more SO<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msubsup><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 transported.
Notably, the type N transport pattern was limited to western Japan,
especially the island of Kyushu. Transboundary air pollution dominated by
SO<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msubsup><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> (type S) has been recognized as a major pattern of pollution
over East Asia. However, our study confirms the importance of transboundary
air pollution dominated by NO<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, which will help refine our
understanding of transboundary heavy PM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in winter over East
Asia.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Particulate matter (PM) presents major environmental problems globally,
especially in East Asia. A typical example is the episode of severe air
pollution that occurred in January 2013 above China (e.g., Wang et al.,
2014; Uno et al., 2014). During this episode, PM with aerodynamic diameters
of less than 2.5 <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (PM<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reached record-breaking concentrations
of 772 <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on 12 January 2013 (Y. Pan  al., 2016). Transboundary
air pollution in downwind regions resulting from the severe air pollution in
China is also an important environmental problem. For example, the possible
long-range transport of PM<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was based on the comparison of
observations in metropolitan areas and remote islands in western Japan
(Kaneyasu et al., 2014). They highlighted the dominant effect of the
transboundary transport of sulfate (SO<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msubsup><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:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as a major PM<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
component in western Japan throughout most of the year. In spring, due
to the prevailing westerly wind over East Asia, the transboundary air pollution
of both aerosols and gases, e.g., carbon monoxide (CO) and ozone (O<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
has been thoroughly discussed (Itahashi et al., 2010, 2013, 2015; Kanaya et
al., 2016; Nagashima et al., 2010). In summer, the clean air mass from the
oceans is moved over Japan by the southerly wind caused by the Pacific High;
however, some studies have discussed the importance of transboundary air
pollution from China over western Japan (Itahashi et al., 2012; Ikeda et
al., 2014). Recently, 1-year source-receptor relationships for
SO<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msubsup><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 evaluated, and China was identified as the main
influence on downwind regions throughout the year with local sulfur dioxide
(SO<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> emissions making an important contribution in summer
(Itahashi et al., 2017). Compared with the analyses for spring and summer,
transboundary air pollution events in winter are less well understood.</p>
      <p>In this study, we also focused on nitrate (NO<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which is an
important PM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> component. The NO<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is produced via
the reaction of gas-phase nitrate (nitric acid; HNO<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and ammonia
(NH<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and this process is reversible. The reaction favors a shift
toward the aerosol phase at low temperatures and high humidity (Seinfeld and
Pandis, 2006). The simulated spatial distribution over East Asia showed the
possible impact of transboundary NO<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pollution in winter over
western Japan (Zhang et al., 2007; Ying, 2014). However, a quantitative
evaluation over downwind regions was not presented in previous studies. This is
partly because the model ability was not evaluated owing to the difficulty in
measuring NO<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Particulate NH<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> may be volatilized
after collection on the filter, either through an increase in the pressure drop
across the particle-collecting medium or changes in the gas–aerosol
equilibrium during sampling (Sickles II et al., 1999; Chang et al., 2000). This
volatilization could occur even in winter because the temperature in the
instrument shelter can be increased by heat from the pump. Therefore, the
ground-based Acid Deposition Monitoring Network in East Asia uses the
four-stage filter pack method: NH<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is collected on the first
filter and gas-phase HNO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are detected on the subsequent
filters. The artifacts might not be significant; however, to avoid the
possibility of volatilization, total nitrate (the sum of NO<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
HNO<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> has been used to evaluate the model ability in previous studies
(e.g., Kajino et al., 2013).</p>
      <p>To improve our understanding of the behavior of NO<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, accurate
measurements and the evaluation of the model ability are needed. In this
study, we used a state-of-the-art automated monitoring system for
SO<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, an aerosol chemical speciation analyzer
(ACSA). This system measures SO<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with high
temporal resolution, and 1 h intervals were used in this study, minimizing
the possibility of volatilization. In addition, the behavior of ammonium
(NH<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which is the counterion for SO<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
was captured by the well-validated NH<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitoring system. Therefore, the
secondary inorganic aerosols (sulfate (SO<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msubsup><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>), nitrate (NO<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and ammonium (NH<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; hereafter summarized as SNA) were fully observed by our synergetic monitoring
system. The denuder filter pack (D–F pack) method with 6–8 h cycles was
also used during the intensive observation period from
7–17 January 2015. This intensive observation was designed to capture the
heavy PM<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution episode in the wintertime and to support and
validate the ACSA and NH<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitoring systems. Based on these measurement
systems, gas-phase HNO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can be measured by the D–F pack
method and the NH<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor, respectively. The related gas-phase behavior
analysis is valuable for improving our understanding of the formation of
NO<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The observations were conducted at the Chikushi Campus of
Kyushu University, which is in the suburbs of Fukuoka (33.52<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
130.47<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in western Japan. The synergetic ground-based
observation dataset was systematically interpreted by using the regional
chemical transport model, and we also examined the impact of the domestic
and transboundary air pollution in winter. Chemical transport model
studies are one type of critical approach for analyzing the behavior of
three-dimensional air pollutants and estimating source impacts. A systematic
comparison of model results with observations, including gas-phase
precursors, will promote understanding and improve the model ability for Asia.
This will also contribute to the Model Intercomparison Study for Asia
(MICS-Asia), which focuses on providing a common understanding of the model
performances and uncertainties, especially for models of long-range
transport in Asia (Carmichael et al., 2002, 2008; Li et al., 2017). This
paper is constructed as follows. Section 2 documents the observation dataset
and the model simulation. Section 3 discusses the results with respect to the
temporal variations at the observation sites and the model results combined with
the backward trajectory analysis. Finally, a summary and conclusions are
given in Sect. 4.</p>
</sec>
<sec id="Ch1.S2">
  <title>Observation and model simulation</title>
<sec id="Ch1.S2.SS1">
  <title>Observation sites</title>
      <p>The synergetic observations for capturing SNA behavior were conducted at the
Chikushi Campus of Kyushu University located in the suburbs of Fukuoka
(33.52<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 130.47<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). Fukuoka is the largest
center of commerce on the island of Kyushu. The population of Fukuoka is 1.5 million
and that of the Fukuoka metropolitan area is 2.5 million. This is
the fourth largest metropolitan area in Japan after Tokyo (34.8 million),
Osaka (12.2 million), and Nagoya (5.5 million). This site is an urban site.
In addition to the observations at Fukuoka, observations from the Goto
Islands (32.68<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 128.83<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and Tsushima Island
(32.20<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 129.28<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) were also used. The Goto Islands
are located in the East China Sea, 190 km southwest of Fukuoka, and have a
population of 70 000. Tsushima Island is located in the Tsushima Strait, 140 km
northwest of Fukuoka, and has a population of 34 000. These islands
have negligible anthropogenic emission sources and are regarded as remote
sites. In addition to these three sites over Kyushu, to investigate
the regions affected by transboundary air pollution, observations from
Tottori (35.54<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 134.21<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in western Japan were
also used. Tottori has a population of 190 000, and this site is also
regarded as a remote site in western Japan. The locations of these four
observation sites over Japan are shown in Fig. 1. In addition to these
observations over Japan, PM<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observations in China from the US
Embassy in Beijing and the US consulates in the provincial capitals of
Shanghai and Shenyang were used. The locations of these three sites over
China are shown in Fig. 2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>The temporal variation in PM<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over Japan at Fukuoka, the Goto
Islands, Tsushima Island, and Tottori from 7–17 January 2015. The blue and
red shading shows the episodes focused on in this study. The red lines indicate
the observations. The black lines indicate the base case simulation, and the dotted black
lines indicate the sensitivity simulation in which the anthropogenic
emissions from Japan were switched off; the differences between these
results, shown in gray, represent local contributions.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>The temporal variation in PM<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over China at Beijing, Shanghai,
and Shenyang from 7–17 January 2015. The red lines indicate the observations by
the BAMs at the US Embassy in Beijing and at the US consulates in Shenyang
and Shanghai. The black lines indicate the base case simulation.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f02.png"/>

        </fig>

<sec id="Ch1.S2.SS1.SSS1">
  <title>Aerosol chemical speciation analyzer (ACSA)</title>
      <p>An ACSA-12 monitor (Kimoto Electric Co., Ltd., Osaka, Japan) for PM<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>
and PM<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, which were separated by a US Environmental Protection Agency
inlet and a virtual impactor, were measured with high temporal resolution
(Kimoto et al., 2013). PM was collected on a tape filter made of Teflon
(PTFE). Hourly observations were conducted for SO<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msubsup><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
NO<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at Fukuoka. The mass concentrations of PM were determined by
using the beta ray absorption method. The ACSA-12 measured NO<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
using an ultraviolet spectrophotometric method and SO<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msubsup><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> by
turbidimetry after the addition of BaCl<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to form BaSO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and polyvinyl
pyrrolidone as a stabilizer. The analytical period was within 2 h of
sampling; therefore, the volatilization of particulate NH<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
after collection was regarded as small compared with the traditional
filter pack observation method. An ACSA has been tested (Osada et al., 2016)
and used to analyze the severe winter haze in Beijing (Zheng et al., 2015;
Li et al., 2016) and to identify the aerosol chemical compositions at
Fukuoka (X. Pan et al., 2016).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <?xmltex \opttitle{NH${}_{{x}}$ monitor}?><title>NH<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor</title>
      <p>The behavior of NH<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is also important because they
are the counterions for SO<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The
concentrations of gaseous NH<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and aerosol NH<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were measured
with a semicontinuous microflow analytical system (MF-NH<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>A; Kimoto Electric
Co.,
Ltd.; Osada et al., 2011) at Fukuoka. The atmospheric NH<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> was
dissolved in ultrapure water with a continuous air–water droplet sampler
and quantified by fluorescence (excitation, 360 nm; emission, 420 nm) of the
<inline-formula><mml:math id="M115" display="inline"><mml:mi>o</mml:mi></mml:math></inline-formula>-phthalaldehyde–sulfite–NH<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reaction product (Genfa et al.,
1989). Two inlet lines were used to differentiate the total amounts of
NH<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
and particulate NH<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> after gaseous NH<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was removed by a
phosphoric acid-coated denuder from the sample air stream. The cutoff
diameter of the inlet impactor was about 2 <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <title>Denuder filter pack method (D–F pack)</title>
      <p>During the intensive observation period from  7–17 January 2015, D–F pack
measurements were conducted at Fukuoka to validate the ACSA and NH<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
monitor measurement systems. An annular denuder multistage filter
sampling system was used for HNO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and size-segregated aerosol sampling.
The sampling interval was 6–8 h. At the inlet, coarse-mode aerosols were
removed by nuclepore membrane filters (111114; Nomura Micro Science Co.,
Ltd., Atsugi, Japan; pore size 8 <inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m), and then gas-phase HNO<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was
collected with the annular denuder (2000-30x242-3CSS; URG Co., Chapel Hill, NC, USA) coated with
NaCl (Perrino et al., 1990). Fine-mode aerosols were collected with a PTFE
filter (J100A047A; ADVANTEC, Tokyo, Japan; pore size 1 <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m), and a
nylon filter (66509; Pall Co., Port Washington, NY, USA) captured volatized NO<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from the
PTFE filter (Appel et al., 1981; Vecchi et al., 2009). Because of the use of
an annular denuder system before PTFE filter collection, the adsorption of
HNO<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which would otherwise lead to the overestimation of NO<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
was low. The sample airflow rate was 16.7 L min<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (1 atm, 25 <inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).
Under these conditions, the aerodynamic diameter of 50 % cutoff for the
nuclepore filter was about 1.9 <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (John et al., 1983). The samples were
analyzed by ion chromatography (IC). Comparing size-segregated
SO<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> data based on the D–F pack method with
data from the ACSA showed systematic differences. A linear regression
analysis of fine-mode and coarse-mode SO<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
showed good correlation, but the slope was not uniform. Fine-mode aerosols
were underestimated by the D–F pack relative to the ACSA measurements, and
coarse-mode aerosols were overestimated by the D–F pack relative to the ACSA
measurements. However, by summing the fine- and coarse-mode data, the slope
between the D–F pack and ACSA results was close to unity. The difference in the
cutoff diameter of the D–F pack method was considered to be the most
important factor in explaining the differences between the results from the D–F pack
and the
ACSA. More details of the comparison and validation of the ACSA data are
reported in Osada et al. (2016).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <title>PM-712</title>
      <p>Hourly PM<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations were measured by a PM monitor
(PM-712; Kimoto Electric Co., Ltd.) at the Goto Islands, Tsushima Island,
and Tottori. The PM-712 used the beta ray attenuation method to measure the mass
concentrations of PM<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The ionic constituents of the
species on the PTFE tape filters were also analyzed by IC to compare the
aerosol behavior at Fukuoka and the other sites. At all sites, the sample spots
collected on the tape filter were covered with polyester tape to avoid
contamination and cross talk interference during storage. The sampling
duration for the PM-712 tape filters was 1 h, except for Tottori where it
was 3 h. For chemical analysis, four consecutive 1 h tape samples were
combined into one sample for the Goto Islands and Tsushima Island. For
Tottori, tape samples for 1 or 0.5 days were combined. Because of a
temperature change during PM sample storage, some NO<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> may have
escaped via volatilization of HNO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the sample. Therefore,
NO<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> data from the Goto Islands, Tsushima Island, and Tottori were
not used. NH<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is also affected by volatilization when it forms
NH<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, but it preferentially forms (NH<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>SO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. The
data for NH<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were used to indicate the concentration trapped by
SO<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msubsup><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>. Hereafter, we call these datasets from the PM tape samples
“tape filters”.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS5">
  <title>Beta attenuation monitors (BAMs)</title>
      <p>Hourly PM<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in China were measured by beta attenuation
monitors (BAMs) (1020; Met One Instruments, Inc., Grants Pass, OR, USA) at
the US Embassy in Beijing on 8 April 2008, at the US consulates in Shanghai
on 21 December 2011, and at the US consulates in Shenyang on 22 April 2013
(Ministry of Environment, 2016). In the BAM technique, PM is collected on a
quartz filter tape over a given time interval and the attenuation of beta
rays through the sample is measured and correlated directly with the PM mass.
The details and the statistical analysis results of the BAM observation at
the US Embassy and consulates are found in the work of San Martini et
al. (2015).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS6">
  <title>Multi-angle absorption photometer (MAAP)</title>
      <p>Observations of black carbon (BC), a primary aerosol that directly reflects
local emission contributions, from Fukuoka and the Goto Islands were also
used to distinguish domestic and transboundary air pollution. BC is observed
by using a multi-angle absorption photometer (MAAP) (MAAP5012; Thermo Fisher
Scientific, Waltham, MA, USA) (Petzold et al., 2005). In this method, the
absorbance of the particles deposited on the filter is distinguished from
scattering by reflectance measurements at multiple angles and by
transmittance. This is to minimize the effects of coexisting aerosol
particles other than BC on filter-based absorption photometers. The
comparison measurements of BC from the Goto Islands were previously
performed by Kanaya et al. (2013), and they reported that the BC MAAP
measurements were strongly correlated with measurements by other techniques
but had a positive bias. From the results reported by Kanaya et al. (2013),
the MAAP absorption cross section of 6.6 m<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was systematically
increased to 10.3 m<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 639 nm. There were no MAAP BC measurements
from the Goto Islands before  11 January 2015 during the intensive
observation period.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Chemical transport model</title>
      <p>The chemical transport model simulation was performed by using the Community
Multiscale Air Quality (CMAQ) modeling system version 4.7.1 (Byun and Schere,
2006) with nesting over East Asia. The meteorological fields of CMAQ were
prepared with the Weather Research and Forecasting Model version 3.3.1
(Skamarock et al., 2008) with analysis nudging applied to the National
Centers for Environmental Prediction final operational global analysis data.
The model domain covers the whole of East Asia with an 81 km horizontal grid
resolution and a 95 <inline-formula><mml:math id="M155" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 75 grid centered
at 30<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 115<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E on a Lambert conformal projection. The
nested domain covers eastern China and the whole of Japan with a 27 km
horizontal grid resolution and a 145 <inline-formula><mml:math id="M158" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 145 grid. The vertical
grid for sigma–pressure coordinates extends to 50 hPa with 37 layers with
nonuniform spacing. The lateral boundary condition was as given by the global
chemical transport model of Geos-Chem (Uno et al., 2014). The simulation
period was from 1–17 January 2015, and the first 6 days were discarded as
model spin-up time. The dry deposition velocity of HNO<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> over land was
increased by a factor of 5 based on the model intercomparison results
(Shimadera et al., 2014; Morino et al., 2015).</p>
      <p>Emissions were set as follows. Anthropogenic emissions and natural sources of
NO<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> from soil were obtained from the latest Regional Emission inventory
in ASia (REAS) version 2.1 (Kurokawa et al., 2013), which covers 2000 to
2008. Therefore, the emissions for January 2008 were used in this study. This
is because satellite observations of the NO<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column showed a decreasing
trend in NO<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from China of <inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 % yr<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> after 2011,
and the levels for 2015 are similar to those for 2009 (Irie et al., 2016). In
contrast, the NO<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column over Japan decreased until 2013, and then began
to increase from 2013 owing to the change in power plant use after the
Fukushima Daiichi nuclear disaster (Morino et al., 2011). The level of the
NO<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column over Japan in 2015 was close to that in 2008 (Irie et al.,
2016). The installation of flue gas desulfurization systems in power plants
in China decreased SO<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in China from 2005 to 2006; after this
turning point, SO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions generally showed a decreasing trend but the
variation in SO<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions is complicated (Xia et al., 2016). The
assumption about the 2008 level of SO<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions may overestimate the
actual status. In Japan, SO<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions are increasing for the same
reasons as for NO<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>; however, there are no reliable references for the
current status of SO<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions. Considering these factors in the
variation of NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions over China and Japan, it was
assumed that the 2008 emissions would be within the range of uncertainty of
the bottom-up emission inventories. Because REAS does not consider the
monthly variation in NH<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, we used the monthly variation estimated by
Huang et al. (2012). The annual NH<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emission amount was also adjusted to
match the estimate of Huang et al. (2012). Other anthropogenic emissions,
such as BC, organic carbon (OC), and volatile organic compounds (VOC), were
also assumed to be at the 2008 level due to the lack of information needed to
update the status. The anthropogenic emission amounts of SO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
and NH<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in January 2015 are listed in Table 1. the biogenic emissions
were prepared from the Model of Emissions of Gases and Aerosols from
Nature (MEGAN; Guenther et al., 2012). As a biogenic source, dimethylsulfide (DMS)
was not treated in the modeling system. The biomass burning emissions were
used from the climatological database of REanalysis of the
TROpospheric chemical composition (RETRO; Schultz et al., 2008). The volcanic
activity data were taken from  the Ace-Asia and TRACE-P Modeling and
Emission Support System (ACESS; Streets et al., 2003) and were modified by the
volcanic activity observation data from the Japan Meteorological Agency (JMA)
for available volcanoes (JMA, 2016). The 14 main active volcanoes in Japan,
along with and Mount Mayon and Mount Bulusan on the island of Luzon in the
Philippines, were considered. The model simulation using the above dataset is
referred to as the base case simulation. The modeling system domain with
overlaid anthropogenic NO<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions is shown in Fig. 3.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>The anthropogenic emission amounts used in this study. Units are
Gg month<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for January 2015.</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="center"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">China</oasis:entry>  
         <oasis:entry colname="col3">Republic of Korea</oasis:entry>  
         <oasis:entry colname="col4">Japan</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M183" 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">2882.2</oasis:entry>  
         <oasis:entry colname="col3">35.8</oasis:entry>  
         <oasis:entry colname="col4">61.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">2150.2</oasis:entry>  
         <oasis:entry colname="col3">90.3</oasis:entry>  
         <oasis:entry colname="col4">189.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NH<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">642.1</oasis:entry>  
         <oasis:entry colname="col3">15.0</oasis:entry>  
         <oasis:entry colname="col4">15.3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>The modeling domain for the horizontal resolutions of <bold>(a)</bold> 81 km and
<bold>(b)</bold> 27 km with anthropogenic NO<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f03.png"/>

        </fig>

      <p>To investigate whether the effect of domestic or transboundary air pollution
is dominant, we also conducted a sensitivity simulation in which the
anthropogenic emissions in Japan are switched off. Here, the anthropogenic
emissions were taken from the REAS inventory; because of this, emissions
from agriculture were included. Shipping emissions were not treated in the
sensitivity simulation. In terms of O<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which is involved in complex
nonlinear chemistry, larger nonlinearities in the atmospheric concentration
response to emission variation for China, but not Japan, were clarified due
to the higher amount of emissions from China than from Japan (Itahashi et
al., 2015). Therefore, the sensitivity simulation was designed to remove
the anthropogenic emissions in Japan instead of those in China. Based on the
differences between the base case simulation and this sensitivity
simulation, the domestic contribution from Japan was estimated.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Meteorological conditions</title>
      <p>The meteorological conditions during the intensive observation campaign from
7–17 January 2015 are shown in Fig. 4 with the observations and model results.
The meteorological observation stations of the JMA in the corresponding nested
model grid of Fukuoka were used. Temperatures (Fig. 4a) were around 5 <inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
at night and 10 <inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C during the day in January 2015.
On 9 January, the temperature was nearly 0 <inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at Fukuoka. For the
wind field (Fig. 4b and c), because of the dominance of the northwesterly
wind system from the Asian continent in winter, the wind direction was
generally 270–360<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (west to north) and the wind speed
was around 5 m s<inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with the exception of 9 and 12–15 January. On 9 January
when the coldest temperature during the intensive observation campaign was
observed, the wind speed was less than 1 m s<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the wind direction was from the
south. From 13–15 January, the wind speed was also low at 2–3 m s<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the
wind direction was easterly, caused by a warm front passing over the south
of Kyushu on 14 January. After the warm front had passed, the
relative humidity was close to 100 % on 15–16 January (Fig. 4d) with
maximum rainfall of 10 mm h<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on 15 January (Fig. 4e). The model tended to
underestimate the precipitation amount, as we have reported in a previous
study (Itahashi et al., 2014). Comparing the observations with the model
results shows that our modeling system generally captures the observed
meteorological variations during this episode.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>The temporal variation in <bold>(a)</bold> temperature, <bold>(b)</bold> wind speed, <bold>(c)</bold> wind
direction, <bold>(d)</bold> relative humidity, and <bold>(e)</bold> precipitation at Fukuoka from 7–17 January 2015. The gray and black coloring indicates the observations and the model results,
respectively.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Temporal variation of particulate matter</title>
<sec id="Ch1.S3.SS2.SSS1">
  <?xmltex \opttitle{PM${}_{{2.5}}$}?><title>PM<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>The temporal variation in PM<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over Japan at Fukuoka, Tsushima Island,
the Goto Islands, and Tottori are presented in Fig. 1. The PM<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
observation data are taken from the ACSA at Fukuoka and from the PM-712 at
other sites. The temporal resolution is 1 h for all observations. During the
analyzed period of 7–17 January 2015, episodic PM<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> peaks reached
around 100 <inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Fukuoka twice. The first peak, observed
at 12:00 LT on 11 January (shown in blue in Fig. 1), reached a maximum
concentration of 86.4 <inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Fukuoka and
105.1 <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the Goto Islands. During this first peak, the
concentration at Tsushima Island was 63.9 <inline-formula><mml:math id="M206" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which was
lower than at the other remote island sites in the Goto Islands, and there
was no distinctive peak at Tottori. The second peak, observed at 00:00 LT on
17 January (shown in red in Fig. 1), reached a maximum concentration at
Fukuoka of 106.2 <inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During this second peak, the remote
sites of the Goto Islands and Tsushima Island also recorded high PM<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentrations of 104.8 and 89.1 <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, and
the PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration reached 37.6 <inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Tottori.
In Fig. 1, we show the model results as black lines. Generally, the model
captured the observed temporal PM<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> behavior, although it
underestimated the first peaks at Fukuoka and the Goto Islands and the second
peak at the Goto Islands. The timing of the high PM<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration was
reproduced well by the modeling system. A statistical analysis of the model
reproducibility demonstrated that all paired datasets for PM<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> showed
good correlations between the observations and the model at the four sites in
Japan, with a correlation coefficient (<inline-formula><mml:math id="M219" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) of 0.86. The mean fractional bias
(MFB) and mean fractional error (MFE) were <inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.6 and 67.4 %,
respectively, and these results satisfied the model performance criteria (MFB
<inline-formula><mml:math id="M221" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 60 % and MFE <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> 75 %) proposed by Boylan and
Russell (2006). Figure 1 also shows the model results of a sensitivity
simulation performed by switching off the Japanese anthropogenic emissions.
The sensitivity simulation results are shown as dotted black lines, and the
difference between the base case and the sensitivity simulation is shown in
gray, which indicates the domestic contribution of Japan. Except for Fukuoka,
there were few domestic contributions for PM<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>; therefore,
transboundary air pollution was dominant in January 2015 at remote sites in
western Japan. At Fukuoka, although domestic contributions for PM<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
were found in some cases (from 8–10 and on 14 January), the concentration of
PM<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was lower compared with the two peaks. During the two episodes
when PM<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration reached around 100 <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over
Japan, the model simulation suggested that the effect of transboundary air
pollution was dominant, even at Fukuoka.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>The temporal variation in SO<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msubsup><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 NH<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> over
Japan at Fukuoka, the Goto Islands, Tsushima Island, and Tottori from
7–17 January 2015. The blue and red shading shows the type N and S patterns
focused on in this study. The red lines indicate SO<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msubsup><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> observations by
ACSA, and the green lines indicate NH<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> observations by the NH<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor at
Fukuoka. The open circles are D–F pack observations at Fukuoka. The open squares are
tape filter measurements at the Goto Islands, Tsushima Island, and Tottori.
The black lines indicate the base case simulation, and the dotted black lines
indicate the sensitivity simulation in which the anthropogenic emissions
from Japan were switched off; the differences between these results, shown in
gray, represent local contributions.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f05.png"/>

          </fig>

      <p>The temporal variations in PM<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over China at Beijing, Shanghai, and
Shenyang are shown in Fig. 2. The PM<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observation data are taken from
the BAMs, and the temporal resolution is 1 h. The model results of a
sensitivity simulation suggested that the impact on three Chinese sites from
Japanese anthropogenic emissions was negligible during this period. At
Beijing, there were high concentrations of PM<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> that correspond to
the high concentration of PM<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> found over Japan. One high
concentration was approximately 300 <inline-formula><mml:math id="M239" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on  10–11 January and
another was around 600 <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on 16 January. These peak times were
almost 1 day before the high concentration was observed over Japan. At
Shanghai, there were two clear peaks with a PM<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration of 200 <inline-formula><mml:math id="M244" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
on 11 and 17 January. The time corresponded well to the peak
time over Japan. At Shenyang, where the local emissions from domestic
sources were dominant in winter, the temporal variation was complex compared
with Beijing and Shanghai. PM<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> showed sharp peaks several times with
concentrations of around 300 <inline-formula><mml:math id="M247" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M248" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, whereas the model only showed
gentle peaks. An analysis of the model reproducibility showed that all for
PM<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> paired datasets for the observations and the model at three sites
over China, <inline-formula><mml:math id="M250" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> was 0.73 and MFB and MFE were <inline-formula><mml:math id="M251" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.8 and
46.8 %, respectively; these numbers satisfy the model goal criteria (MFB <inline-formula><mml:math id="M252" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M253" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 % and MFE <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula> 50 %) proposed by Boylan and Russell
(2006). The evaluation of the model performance over China supports the
discussion on downwind regions.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>SNA</title>
      <p>The temporal variations in SNA are shown in Figs. 5 and 6. In Fig. 5,
SO<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msubsup><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 NH<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> are shown for four sites in Japan. At
Fukuoka, the ACSA and D–F pack observations are shown for SO<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msubsup><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>. The
NH<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor and D–F pack results are shown for NH<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The temporal
resolutions of the ACSA and the NH<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor were 1 h, and those of the D–F packs
were 6–8 h depending on the samples. For the Goto Islands, Tsushima Island,
and Tottori, the PM-712 tape filter data were used. The temporal resolution
was 4 h at the Goto Islands and Tsushima Island and 1 or 0.5 days at
Tottori. In Fig. 6, NO<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and total ammonia
(sum of NH<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are shown for Fukuoka. The ACSA and D–F
pack observations for NO<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> are shown, the D–F pack observations are
shown for HNO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and the NH<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor observations are shown for NH<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
total ammonia. Because of a temperature change during the PM-712 sample storage,
the NO<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations could have been affected by volatilization;
hence, only the NO<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> analysis at the Fukuoka site was used. At
Fukuoka, the SNA concentration contributed 52  and 46 % of the
PM<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in the first and second episodes, respectively. For
SO<inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msubsup><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> (Fig. 5; left), the concentration during the second episode
was larger than during the first episode at Fukuoka, the Goto Islands, and
Tsushima Island. At Tottori, there was no peak for the first episode for
SO<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msubsup><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>. In contrast to SO<inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msubsup><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>, a higher NO<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration was observed during the first episode instead of the second
episode (Fig. 6). NH<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> showed high concentrations during both
episodes because it is the counterion for SO<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(Fig. 5; right). Based on the analysis of the PM<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 1) and SNA
(Figs. 5 and 6) observations, the PM<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations were similar
during the episodes on  11 and 17 January; however, the main component of SNA
was NO<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during the first episode and SO<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msubsup><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
second episode. At Fukuoka, the relative portions of SO<inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msubsup><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>,
NO<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and NH<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> within the PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were respectively
18, 20, and 14 % during the first episode, and 27, 6, and
14 % during the second episode. Therefore, the first episode (shown in
blue in Figs. 1, 5, 6, 7 and 8) is referred to as “type N”, and the second
episode (shown in red in Figs. 1, 5, 6, 7 and 8) is referred to as “type S”
hereafter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>The temporal variation in NO<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and
total ammonia at Fukuoka from 7–17 January 2015. The blue and red shading
shows the type N and S patterns focused on in this study. The red lines indicate
NO<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> observations by the ACSA, the green lines indicate NH<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and total
ammonia observations by the NH<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor, and the open circles indicate D–F pack
observations. For NH<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, periods of nearly zero concentration (24 h
average of less than 1 <inline-formula><mml:math id="M295" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are indicated by arrows. The black lines
indicate the base case simulation, and the dotted black lines indicate the
sensitivity simulation in which the anthropogenic emissions from Japan were
switched off; the differences between these results, shown in gray, represent
local contributions.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f06.png"/>

          </fig>

      <p>The model results for the base case and sensitivity simulations are overlaid
with the same temporal resolution as the observations in Figs. 5 and 6. The
model tended to underestimate the SO<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msubsup><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> concentration (Fig. 5; left);
however, the model reproduced the features of types N and S, and the
sensitivity simulation indicated the dominance of transboundary air
pollution for SO<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msubsup><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 intensive observation campaign in
January 2015, even at Fukuoka. For NO<inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. 6), the model
reproduced the features of the type N and S peaks well, although the model
overestimated the dip in NO<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration found from the evening
of 10 January  to before the type N episode. The D–F pack observations
generally underestimated NO<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> compared with the ACSA observations
because of the difference in the cutoff diameter between these measurement
systems. Except for the type N and S episodes, domestic contributions were
seen for NO<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from 8–10 and on 14 January. However, the sensitivity
simulation confirmed that transboundary NO<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> air pollution was
dominant for types N and S. Because NH<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the counterion for
both SO<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, small domestic contributions for
NH<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> were observed at Fukuoka (Fig. 5; right). This result
corresponded to the domestic contribution for NO<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. For the other
three remote sites, there were no domestic contributions for NH<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <p>The behavior of SNA, gas-phase HNO<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and NH<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was analyzed
comprehensively based on the NH<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> monitor and D–F pack observations (Fig. 6)
to support our understanding of NO<inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> behavior. There are few
synergetic analyses including gas-phase behavior over the downwind region of
the
Asian continent. Peaks for gas-phase HNO<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were found for types N and S,
whereas the concentration of gas-phase NH<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was nearly zero (less than 1 <inline-formula><mml:math id="M316" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M317" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for 24 h average) for types N and S on 8, 10,
12, and 15 January (the green arrows in Fig. 6). Type S, in particular, showed an almost
zero concentration of NH<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The concentration of total ammonia showed
distinct peaks for types N and S; therefore, the nearly zero concentration
of NH<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> suggested the full conversion of NH<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to produce
NH<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> as a counterion for SO<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The
sensitivity simulation, in which Japanese anthropogenic emissions were
switched off, clarified the different features of related gas-phase species.
The base case simulation and sensitivity simulation were similar for
HNO<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, suggesting that it originated from transboundary air pollution. A
slight increase in HNO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the sensitivity simulation was found from
8–10 and on 12 January (the red arrows in Fig. 6). These were the complex cases
connected to overseas and domestic emissions. If there are no Japanese
NH<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, the transported HNO<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cannot produce NO<inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
in Japan, and so it remains as gas-phase HNO<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The synergetic analysis
for gas-phase HNO<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> indicated that abundant HNO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was
transported from abroad and reacted with domestic NH<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, producing
NO<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from 8–10 January. Compared with these cases, domestic
HNO<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> produced NO<inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> on 14 January  (orange arrows
in Fig. 6). The concentrations were lower than for types N and S, which were
dominated by transboundary air pollution.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Coarse-mode aerosols</title>
      <p>Coarse-mode aerosols were also partly analyzed in this study. Because of the
effect of transboundary air pollution on HNO<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 6), we focused on
coarse-mode NO<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Coarse-mode NO<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is produced by
reactions of HNO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with mineral dust or sea salt particles. In general,
mineral dust mainly has an effect in spring over East Asia (Itahashi et al.,
2010), whereas sea salt particles play an important role throughout the
year. Recently, we reported the importance of coarse-mode NO<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> as
an atmospheric input in East Asian ocean regions (Itahashi et al., 2016).
Figure 7 shows the modeled and observed coarse-mode NO<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
Na<inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and Cl<inline-formula><mml:math id="M345" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>. The ACSA and D–F pack observations are shown for
coarse-mode NO<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and the D–F pack observations are shown for
coarse-mode Na<inline-formula><mml:math id="M347" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>. During the intensive observation period
in January, coarse-mode NO<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> also showed high concentrations for
types N and S of around 10 <inline-formula><mml:math id="M350" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (on 9–10 January, around 5
 <inline-formula><mml:math id="M352" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M353" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Based on the model results and because the domestic
contribution for HNO<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was found on 14 January (Fig. 6), the domestic
contribution for coarse-mode NO<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was found only on 14 January,
but the concentration was below 1 <inline-formula><mml:math id="M356" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M357" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Na<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M359" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
from sea salt particles also had peaks for types N and S. Sea salt particles
are mechanically produced by high winds; therefore, these peaks generally
corresponded to high wind speeds (Fig. 4b). High winds were observed on
15 January; Na<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> peaks occurred, but the coarse-mode
NO<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration was close to zero. This was because there was
no HNO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to react with NaCl from 12–15 January or the wet deposition of
coarse-mode NO<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with the precipitation from noon on 14 January  to the
evening of 15 January. For coarse-mode NO<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, transboundary air
pollution was the dominant factor. This means that a large amount of
HNO<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was transported from abroad (Fig. 6), reacted with sea salt
particles over the ocean, and reached Fukuoka in the air mass.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>The temporal variation in coarse-mode NO<inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, Na<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and
Cl<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> at Fukuoka from 7–17 January 2015. The blue and red shading shows the
type N and S patterns focused on in this study. The red lines indicate
coarse-mode NO<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> observations by the ACSA, and the open circles indicate
D–F pack observations. The black lines indicate the base case simulation, and
the dotted black lines indicate the sensitivity simulation in which the
anthropogenic emissions from Japan were switched off; the differences
between these results, shown in gray, represent local contributions.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f07.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>BC</title>
      <p>To support the discussion of the domestic and transboundary contributions to
SNA, the behavior of BC at Fukuoka and the Goto Islands is shown in Fig. 8.
The sensitivity simulation would suffer from a nonlinear chemical response
if complex atmospheric chemistry were involved; hence, we focused on BC,
which is a primary aerosol. The temporal variation of BC also showed
distinctive peaks for types N and S at Fukuoka and the Goto Islands. The
model results reproduced these peaks well, and the sensitivity simulation
also suggested the dominance of transboundary air pollution for both peaks N
and S. The temporal variation at the Goto Islands showed only two peaks of
types N and S, although many short-term peaks were seen at Fukuoka. The
sensitivity simulation confirmed that domestic air pollution contributed to
these short-term peaks at Fukuoka; however, the model could not fully
capture the peaks observed on  7, 13, and 14 January. To improve the
performance of the model to capture these short-term peaks, a
higher resolution model simulation and a revision of the emission inventory
are needed. An analysis of the primary aerosol confirmed that transboundary air
pollution was dominant for types N and S in January 2015.</p>
      <p>Consequently, the well-validated model simulation indicated that two high
PM<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> episodes with concentrations of around 100 <inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
occurring over western Japan in January were dominated by NO<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
for the first peak (type N) and by SO<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msubsup><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> for the second peak
(type S); the NH<inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration was high for both types. The model
sensitivity simulation clarified that these high SNA concentrations in the
type N and S episodes were dominated by transboundary air pollution. In
addition to the transport of SNA, abundant gas-phase HNO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
coarse-mode NO<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> reacted with sea salt particles over the ocean
and were also transported to western Japan. NH<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which mainly came from
domestic emissions, showed concentrations of around zero during type N and S
events, suggesting that NH<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was depleted to neutralize SO<inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Trajectory analysis</title>
      <p>Analyzing the synergetic observations at Fukuoka and the other three remote
sites in Japan with the regional chemical transport model demonstrated that
the two PM<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> episodic peaks were dominated by transboundary heavy
pollution, even at Fukuoka. The two peaks had different SNA compositions.
The first episode on 11 January  showed a high NO<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (type N)
concentration and the second episode on 17 January  was dominated by
SO<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msubsup><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> (type S). The differences in these episodes were
investigated further by a model simulation combined with a backward trajectory
analysis. The spatial distributions of SO<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
during type N and S patterns are shown in Figs. 9 and 10, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>The temporal variation in BC at Fukuoka and the Goto Islands from
7–17 January 2015. The blue and red shading shows the type N and S patterns
focused on in this study. The magenta line indicates BC observations by
MAAP. The black lines indicate the base case simulation, and the dotted black lines
indicate the sensitivity simulation in which the anthropogenic emissions
from Japan were switched off; the differences between these results, shown in
gray, represent local contributions.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>The simulated spatial distribution of <bold>(a)</bold> SO<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msubsup><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
<bold>(b)</bold> NO<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during a type N pattern. The contours shown by the white lines for
NO<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> represent 40 and 60 <inline-formula><mml:math id="M391" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The 72 h HYSPLIT
backward trajectory from Fukuoka is overlaid with orange lines and orange circles
at 12 h intervals. (Left) 21:00 LT on 10 January 2015 when the air mass left
China and (right) 15:00 LT on 11 January 2015 when the air mass reached
Fukuoka.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>The simulated spatial distribution of <bold>(a)</bold> SO<inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msubsup><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
<bold>(b)</bold> NO<inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during a type S pattern. The contours
shown by the white lines for NO<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> represent
40 and 60 <inline-formula><mml:math id="M396" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The 72 h HYSPLIT
backward trajectory from Fukuoka is overlaid with orange lines and orange circles
at 12 h intervals. (Left) 00:00 LT on 16 January 2015 when the air mass left
China and (right) 00:00 LT on 17 January 2015 when the air mass
reached Fukuoka.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f10.png"/>

        </fig>

      <p>In type N (Fig. 9; right), the model results showed that a low
SO<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msubsup><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> concentration of less than 5 <inline-formula><mml:math id="M399" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a high
NO<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of more than 10 <inline-formula><mml:math id="M402" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M403" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> covered
Fukuoka. The spatial distribution patterns indicated an outflow of
SO<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from continental Asia to western Japan.
The dominance of transboundary air pollution suggested by these spatial
distributions was consistent with the model sensitivity simulation results
(Figs. 5 and 6). High-concentration regions of SO<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msubsup><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
NO<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> stretched from the eastern coastline of China to the East
China Sea and western Japan. The spatial distribution implied the direct
transport from continental Asia to the downwind regions. In addition, the
high-concentration region stretched from eastern China to western Japan,
which is
consistent with the corresponding PM<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> peak on 11 January at Shanghai
and over Japan. To investigate the air mass origin for type N, the HYSPLIT
backward trajectory (Stein et al., 2015) was analyzed over 72 h starting from Fukuoka
(<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. 9; left). The backward trajectory during type N
transport suggested that the air mass originated from Shaanxi Province and
passed over Shanxi Province, southern Hebei Province, and Shandong Province, and
then reached Fukuoka. The traveling time from the coast of China to Fukuoka
was about 18 h. The distance from the coastline of China to Fukuoka is
approximately 1000 km, so the air mass speed for type N was 55.6 km h<inline-formula><mml:math id="M410" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
Figure 9 (left) shows the spatial distribution when the air mass was located
over China. A high concentration of NO<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> of more than 60 <inline-formula><mml:math id="M412" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
occurred over the east coast of China before the air mass arrived
in Fukuoka, whereas the SO<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msubsup><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> concentration was as high as
10 <inline-formula><mml:math id="M415" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M416" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> above the East China Sea.</p>
      <p>In type S (Fig. 10; right), the model calculated that a high
SO<inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msubsup><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> concentration of more than 20 <inline-formula><mml:math id="M418" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a low
NO<inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of around 5 <inline-formula><mml:math id="M421" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M422" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> covered Fukuoka.
The HYSPLIT backward trajectory is shown as <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. 10. The air mass
during type S transport originated from Shanxi Province and slowly moved
over northern Henan Province and Shandong Province, and reached Fukuoka within
about 24 h. The high-concentration regions stretched from eastern China to
western Japan, which is consistent with the simultaneous PM<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> peak at Shanghai
and over Japan. The air mass was stagnant over China compared with type N
transport. The spatial distribution when the air mass was located over China
is shown in Fig. 10 (left). For SO<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msubsup><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>, the concentration was
higher when the air mass arrived at Fukuoka compared with that in China,
suggesting the fast production of SO<inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msubsup><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 transport
process. A high concentration of SO<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msubsup><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> of 20 <inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
spread over the East China Sea and western Japan. A high NO<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration of more than 60 <inline-formula><mml:math id="M431" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> occurred over China, similar
to type N; however, the NO<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration was immediately reduced
during the transport. The high NO<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of more than 10 <inline-formula><mml:math id="M435" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
did not reach Fukuoka in this type S transport. Comparing
the spatial distribution of the air mass over Fukuoka (Fig. 10; right) and
China (Fig. 10; left) showed a 1-day delay in the high-concentration peaks
over Japan compared with the peak for Beijing (Figs. 1 and 2).</p>
      <p>The backward trajectories for types N and S both showed similar transport
patterns from China and Fukuoka. However, the spatial distribution patterns
demonstrated clear differences between SO<inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
distributions for type N and S patterns. To discuss the different mechanisms
for types N and S further, the model results were analyzed along the backward
trajectories of <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The path analyses are
shown in Figs. 11 and 12, along with additional indexes. The conversion ratio
of SNA from the gas phase to the aerosol phase is an important indicator. For
SO<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msubsup><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>, considering the concentration of the gas-phase species of
SO<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the conversion ratio of <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is defined as follows and
calculated based on molar concentrations, shown in square brackets (Khoder,
2002):
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M444" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">mol</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p><?xmltex \hack{\newpage}?>A ratio of 0 indicates that SO<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msubsup><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 not produced, and a ratio of 1
indicates that SO<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was converted completely to SO<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msubsup><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>. To confirm
the <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> analysis, the concentration of the highly reactive
hydroperoxy radical (HO<inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was also analyzed. The self-reaction of
HO<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> produces hydrogen peroxide (H<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and this is the most
effective oxidant of aqueous-phase SO<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Pandis and Seinfeld, 1989).
Because the analyzed period was in winter, aqueous-phase reactions would be
the main pathway for producing SO<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msubsup><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.F11" specific-use="star"><caption><p>The path analysis of the model results along trajectory
<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <bold>(a)</bold> Temperature and relative humidity;
<bold>(b)</bold> SO<inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msubsup><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> (with expansion at the bottom) and SO<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>(c)</bold> HO<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration, <bold>(d)</bold> NO<inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
NO, NO<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, other NOy (NO<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and PANs), and
coarse-mode NO<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; <bold>(e)</bold> NH<inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>(f)</bold> adjGR, <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. In <bold>(b)</bold>,
<bold>(d)</bold>, and <bold>(e)</bold>, BC and CO concentrations normalized to the
maximum value are also shown. The time axis indicates the backward time from
Fukuoka. The brown and blue bars at the bottom are schematic
images of the trajectory location over land and ocean.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f11.png"/>

        </fig>

      <p>For NO<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, the conversion ratios of <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are defined by considering
the concentration of NO<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as a precursor and calculated based on molar
concentrations (Khoder, 2002):
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M474" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">mol</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>To investigate the ratio of NO<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to gas- and aerosol-phase
components analogous to the calculation for SO<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msubsup><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>, the conversion
ratio of <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is introduced:
            <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M478" display="block"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>The path analysis of
the model results along trajectory <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <bold>(a)</bold> Temperature
and relative humidity; <bold>(b)</bold> SO<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msubsup><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> (with expansion at the
bottom) and SO<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>; <bold>(c)</bold> HO<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration;
<bold>(d)</bold> NO<inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO, NO<inline-formula><mml:math id="M485" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, other NO<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>
(NO<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and PANs), and coarse-mode
NO<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; <bold>(e)</bold> NH<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>(f)</bold> adjGR, <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. In <bold>(b)</bold>,
<bold>(d)</bold>, and <bold>(e)</bold>, BC and CO concentrations normalized to the
maximum value are also shown. The time axis indicates the backward time from
Fukuoka. The brown and
blue bars at the bottom are schematics of the trajectory location over land
and ocean.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f12.png"/>

        </fig>

      <p>The behavior of SNA is determined by introducing candidate indicators
according to the work of Ansari and Pandis (1998) and Pinder et al. (2008).
The gas ratio (GR) is an indicator of the sensitivity of NO<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to
changes in SO<inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msubsup><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 NH<inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations. The GR is
defined as the ratio of free ammonia to total nitrate as
            <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M499" display="block"><mml:mrow><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><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:mo>+</mml:mo><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:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>+</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where it is assumed that SO<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msubsup><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> is fully neutralized, as indicated
by the coefficient of 2 for [SO<inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msubsup><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>]. The GR value implies the
following condition for NO<inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> production:
            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M503" display="block"><mml:mrow><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">GR</mml:mi></mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><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:mtext>-rich</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><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:mtext>-neutral</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>:</mml:mo><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:mtext>-poor</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Here, NH<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich means that there is sufficient NH<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to neutralize
both SO<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NH<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral means that there
is sufficient NH<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to neutralize SO<inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msubsup><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 NH<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-poor
means that there is insufficient NH<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to neutralize SO<inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msubsup><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> or
NO<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Free ammonia, which can form NH<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the
equilibrium process, is quantified more accurately by adjusting
[SO<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msubsup><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>] with the degree of sulfate neutralization (DSN). The DSN
is defined as
            <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M518" display="block"><mml:mrow><mml:mi mathvariant="normal">DSN</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="[" close="]"><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:mfenced><mml:mo>-</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where DSN is equal to or greater than 2 if there is sufficient
NH<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. By substituting the coefficient 2 before
[SO<inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msubsup><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>] in Eq. (2) with Eq. (4), the adjusted GR (adjGR) can be
defined as

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M521" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">adjGR</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="[" close="]"><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:mo>+</mml:mo><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:mfenced><mml:mo>-</mml:mo><mml:mi mathvariant="normal">DSN</mml:mi><mml:mo>×</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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:mo>+</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><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:mfenced><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mfenced open="[" close="]"><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:mfenced><mml:mo>+</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            by using the indexes, and the path analysis of the backward trajectories for the
model results are shown in Figs. 11 and 12 and summarized in Table 2.
The analyses are shown for the following: (a) the meteorological components of temperature
and relative humidity; (b) SO<inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msubsup><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 SO<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with an enlarged
view for SO<inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msubsup><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>; (c) HO<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration; (d) NO<inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
HNO<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO, NO<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, other NOy consisting of NO<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
N<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M532" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and peroxyacyl nitrates (PANs), and coarse-mode
NO<inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; (e) NH<inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>; and (f) adjGR, <inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>.
The concentrations of the air pollutants were reduced by chemical reactions,
dispersion, and deposition during the transport; therefore, as an index of
the dispersion and deposition processes, BC and CO concentrations normalized to
their maximum concentrations during the transport were used in the variation
of the total concentration in (b), (d), and (e). Table 2 shows the
meteorological components and the air pollutant concentrations of each
component and total sulfate, total nitrate, and total ammonia. The indexes
were averaged over China, the transport time above the ocean, and Fukuoka.
The SNA concentration was balanced between NH<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SO<inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:msubsup><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> with
NO<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> during both types N and S.</p>
      <p>During the type N pattern (Fig. 11), the concentration of air pollutants
increased after the air mass moved into Hebei Province (<inline-formula><mml:math id="M541" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 h). The
relative humidity was lower than 40 % when the air mass traveled over
Shanxi Province and Hebei Province (Fig. 11a). The SO<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msubsup><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>
concentration was around 1 <inline-formula><mml:math id="M543" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during transport
(Fig. 11b and Table 2), and SO<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was dominant in the total sulfate
concentration. In this type N pattern, the concentration of the most
effective oxidant of HO<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for the SO<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> aqueous-phase reaction was
smaller due to the lower relative humidity (Fig. 11c), and the conversion
ratio was less than 0.1 (Fig. 11f and Table 2). Compared with the
SO<inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msubsup><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> variation, as the trajectory passed from Shanxi Province
(<inline-formula><mml:math id="M549" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 h) to Shandong Province (<inline-formula><mml:math id="M550" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 h) and over the ocean (<inline-formula><mml:math id="M551" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 h), the
NO<inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations increased. The concentrations of
NO<inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> decreased as the air mass traveled to Japan
(Figs. 11d and 11e). Over China (<inline-formula><mml:math id="M556" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 to <inline-formula><mml:math id="M557" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18 h), gas-phase NH<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was
abundant and HNO<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was fully consumed to produce NH<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(Figs. 11d and e). The excess HNO<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> over the ocean contributed to
producing coarse-mode NO<inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> by reacting with sea salt particles as the
air mass traveled over the ocean (Fig. 11d). The adjGR was super
NH<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich over China (Fig. 11f). After the air mass left Shandong,
HNO<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> increased and NH<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was close to zero (Fig. 11d and e), so the
adjGR shifted to an NH<inline-formula><mml:math id="M567" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral status (Fig. 11f). Consequently, the
proportion of NO<inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, indicated by <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, remained around 80 %
during transport from China to Japan (Fig. 11f). The rates of the decrease in
total sulfate, total nitrate, and total ammonia were generally consistent
with the rates of decrease in normalized BC and CO, suggesting that the
budget was almost satisfied during transport (Table 2). The decrease in BC
was larger than that in CO because of wet deposition (e.g., Pan et al., 2011;
Kanaya et al., 2016).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Summary of the path analysis for types N and S.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.86}[.86]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Type</oasis:entry>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Type N </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center">Type S </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Arrival time at Fukuoka</oasis:entry>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">15:00 LT,  11 Jan </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center">00:00 LT, 17 Jan </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Transport time from China</oasis:entry>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">18 h </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center">24 h </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Over China</oasis:entry>  
         <oasis:entry colname="col3">During transport</oasis:entry>  
         <oasis:entry colname="col4">Over Fukuoka</oasis:entry>  
         <oasis:entry colname="col5">Over China</oasis:entry>  
         <oasis:entry colname="col6">During transport</oasis:entry>  
         <oasis:entry colname="col7">Over Fukuoka</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Temperature [<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C]</oasis:entry>  
         <oasis:entry colname="col2">6.6</oasis:entry>  
         <oasis:entry colname="col3">6.7</oasis:entry>  
         <oasis:entry colname="col4">9.3</oasis:entry>  
         <oasis:entry colname="col5">3.1</oasis:entry>  
         <oasis:entry colname="col6">4.0</oasis:entry>  
         <oasis:entry colname="col7">6.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Relative humidity [%]</oasis:entry>  
         <oasis:entry colname="col2">32.7</oasis:entry>  
         <oasis:entry colname="col3">60.5</oasis:entry>  
         <oasis:entry colname="col4">50.5</oasis:entry>  
         <oasis:entry colname="col5">66.3</oasis:entry>  
         <oasis:entry colname="col6">74.4</oasis:entry>  
         <oasis:entry colname="col7">67.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msubsup><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="M578" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M579" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">0.9</oasis:entry>  
         <oasis:entry colname="col3">1.1</oasis:entry>  
         <oasis:entry colname="col4">1.1</oasis:entry>  
         <oasis:entry colname="col5">3.3</oasis:entry>  
         <oasis:entry colname="col6">3.7</oasis:entry>  
         <oasis:entry colname="col7">6.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M580" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>24.5 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M581" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>25.5 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M582" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>14.1 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M583" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>67.2 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> [<inline-formula><mml:math id="M585" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M586" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">55.9</oasis:entry>  
         <oasis:entry colname="col3">25.0</oasis:entry>  
         <oasis:entry colname="col4">14.1</oasis:entry>  
         <oasis:entry colname="col5">72.1</oasis:entry>  
         <oasis:entry colname="col6">40.0</oasis:entry>  
         <oasis:entry colname="col7">17.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total sulfate [<inline-formula><mml:math id="M587" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M588" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">56.8</oasis:entry>  
         <oasis:entry colname="col3">26.1</oasis:entry>  
         <oasis:entry colname="col4">15.2</oasis:entry>  
         <oasis:entry colname="col5">75.4</oasis:entry>  
         <oasis:entry colname="col6">43.8</oasis:entry>  
         <oasis:entry colname="col7">23.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M589" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54.1 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M590" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>74.7 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M591" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41.9 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M592" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.2 %)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [mol mol<inline-formula><mml:math id="M594" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">0.02</oasis:entry>  
         <oasis:entry colname="col3">0.04</oasis:entry>  
         <oasis:entry colname="col4">0.07</oasis:entry>  
         <oasis:entry colname="col5">0.04</oasis:entry>  
         <oasis:entry colname="col6">0.10</oasis:entry>  
         <oasis:entry colname="col7">0.27</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msubsup><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:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M597" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">4.9</oasis:entry>  
         <oasis:entry colname="col3">7.5</oasis:entry>  
         <oasis:entry colname="col4">3.3</oasis:entry>  
         <oasis:entry colname="col5">15.9</oasis:entry>  
         <oasis:entry colname="col6">9.4</oasis:entry>  
         <oasis:entry colname="col7">2.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M598" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>53.6 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M599" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>42.0 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M600" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41.1 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M601" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>85.6 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HNO<inline-formula><mml:math id="M602" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> [<inline-formula><mml:math id="M603" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M604" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">0.0</oasis:entry>  
         <oasis:entry colname="col3">2.1</oasis:entry>  
         <oasis:entry colname="col4">1.7</oasis:entry>  
         <oasis:entry colname="col5">1.9</oasis:entry>  
         <oasis:entry colname="col6">6.1</oasis:entry>  
         <oasis:entry colname="col7">5.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Other NO<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> [<inline-formula><mml:math id="M606" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M607" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">22.2</oasis:entry>  
         <oasis:entry colname="col3">8.5</oasis:entry>  
         <oasis:entry colname="col4">3.3</oasis:entry>  
         <oasis:entry colname="col5">16.7</oasis:entry>  
         <oasis:entry colname="col6">6.4</oasis:entry>  
         <oasis:entry colname="col7">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Coarse-mode NO<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msubsup><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="M609" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M610" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">0.0</oasis:entry>  
         <oasis:entry colname="col3">1.1</oasis:entry>  
         <oasis:entry colname="col4">1.4</oasis:entry>  
         <oasis:entry colname="col5">0.4</oasis:entry>  
         <oasis:entry colname="col6">0.7</oasis:entry>  
         <oasis:entry colname="col7">1.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total NO<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> [<inline-formula><mml:math id="M612" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M613" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">27.1</oasis:entry>  
         <oasis:entry colname="col3">19.1</oasis:entry>  
         <oasis:entry colname="col4">9.7</oasis:entry>  
         <oasis:entry colname="col5">34.8</oasis:entry>  
         <oasis:entry colname="col6">22.5</oasis:entry>  
         <oasis:entry colname="col7">10.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M614" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.3 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M615" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>66.2 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M616" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35.3 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M617" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>77.0 %)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> [mol mol<inline-formula><mml:math id="M619" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">1.00</oasis:entry>  
         <oasis:entry colname="col3">0.81</oasis:entry>  
         <oasis:entry colname="col4">0.73</oasis:entry>  
         <oasis:entry colname="col5">0.90</oasis:entry>  
         <oasis:entry colname="col6">0.61</oasis:entry>  
         <oasis:entry colname="col7">0.45</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NH<inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msubsup><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="M621" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M622" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">5.6</oasis:entry>  
         <oasis:entry colname="col3">8.7</oasis:entry>  
         <oasis:entry colname="col4">4.4</oasis:entry>  
         <oasis:entry colname="col5">18.8</oasis:entry>  
         <oasis:entry colname="col6">12.6</oasis:entry>  
         <oasis:entry colname="col7">8.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M623" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>54.3 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M624" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.9 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M625" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.0 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M626" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>62.1 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NH<inline-formula><mml:math id="M627" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> [<inline-formula><mml:math id="M628" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M629" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">7.5</oasis:entry>  
         <oasis:entry colname="col3">0.4</oasis:entry>  
         <oasis:entry colname="col4">0.2</oasis:entry>  
         <oasis:entry colname="col5">0.6</oasis:entry>  
         <oasis:entry colname="col6">0.1</oasis:entry>  
         <oasis:entry colname="col7">0.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Total ammonia [<inline-formula><mml:math id="M630" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-N m<inline-formula><mml:math id="M631" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">13.2</oasis:entry>  
         <oasis:entry colname="col3">9.1</oasis:entry>  
         <oasis:entry colname="col4">4.6</oasis:entry>  
         <oasis:entry colname="col5">19.5</oasis:entry>  
         <oasis:entry colname="col6">12.7</oasis:entry>  
         <oasis:entry colname="col7">8.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M632" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30.7 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M633" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>67.9 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M634" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.8 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M635" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63.3 %)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">adjGR [mol mol<inline-formula><mml:math id="M636" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">2.56</oasis:entry>  
         <oasis:entry colname="col3">0.87</oasis:entry>  
         <oasis:entry colname="col4">0.77</oasis:entry>  
         <oasis:entry colname="col5">0.93</oasis:entry>  
         <oasis:entry colname="col6">0.61</oasis:entry>  
         <oasis:entry colname="col7">0.46</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">BC [<inline-formula><mml:math id="M637" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M638" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">6.5</oasis:entry>  
         <oasis:entry colname="col3">5.2</oasis:entry>  
         <oasis:entry colname="col4">2.6</oasis:entry>  
         <oasis:entry colname="col5">9.7</oasis:entry>  
         <oasis:entry colname="col6">6.1</oasis:entry>  
         <oasis:entry colname="col7">4.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M639" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.2 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M640" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63.3 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M641" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37.4 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M642" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63.9 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CO [ppbv]</oasis:entry>  
         <oasis:entry colname="col2">904.4</oasis:entry>  
         <oasis:entry colname="col3">737.6</oasis:entry>  
         <oasis:entry colname="col4">440.2</oasis:entry>  
         <oasis:entry colname="col5">1260.0</oasis:entry>  
         <oasis:entry colname="col6">887.0</oasis:entry>  
         <oasis:entry colname="col7">564.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M643" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.4 %)</oasis:entry>  
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M644" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>53.8 %)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M645" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.8 %)</oasis:entry>  
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M646" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>56.8 %)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Key points</oasis:entry>  
         <oasis:entry namest="col2" nameend="col4" align="left">– Dominance of NO<inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> compared with SO<inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:msubsup><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 namest="col5" nameend="col7" align="left">– Dominance of SO<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msubsup><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> compared with NO<inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="left">– Under 10 % conversion ratio for SO<inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msubsup><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 namest="col5" nameend="col7" align="left">– Approximately 30 % conversion ratio for SO<inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msubsup><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:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="left">– Lower relative humidity </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="left">– Higher relative humidity of around 70 % </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="left">– Abundant NH<inline-formula><mml:math id="M653" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> supply above China </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="left">– No NH<inline-formula><mml:math id="M654" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the gas phase </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="left">– NH<inline-formula><mml:math id="M655" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich air mass maintaining neutralization of NO<inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:msubsup><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 namest="col5" nameend="col7" align="left">– NH<inline-formula><mml:math id="M657" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral conditions during transport, SO<inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:msubsup><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> neutralized </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.86}[.86]?><table-wrap-foot><p><?xmltex \hack{\vspace*{2mm}}?>Note: the parentheses indicate the multiplying
factors compared with the status over China. The status is averaged over 6 h
before the air mass leaves China, during the transport time from China to
Fukuoka above the ocean, and over 3 h before the air mass reaches Fukuoka.
Other NO<inline-formula><mml:math id="M570" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> consists of NO, NO<inline-formula><mml:math id="M571" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M572" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M573" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
and PANs.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>During the type S pattern (Fig. 12), SNA concentrations were higher compared
with the type N pattern (Fig. 11), partly due to the slower motion of the
air mass compared with type N. SO<inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:msubsup><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> concentration was around 2 <inline-formula><mml:math id="M660" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M661" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
over Shanxi Province to Henan Province (<inline-formula><mml:math id="M662" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>72 to <inline-formula><mml:math id="M663" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 h). It
increased slightly to 3 <inline-formula><mml:math id="M664" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M665" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over Henan Province to Shandong
Province (<inline-formula><mml:math id="M666" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 to <inline-formula><mml:math id="M667" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24 h) and subsequently increased to 3 <inline-formula><mml:math id="M668" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g-S m<inline-formula><mml:math id="M669" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
over the ocean (Fig. 12b and Table 2). The aqueous-phase reaction
contributed to the production, as suggested by the variation in HO<inline-formula><mml:math id="M670" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration. Over the oceans, the relative humidity was around 80 %, which is 20 %
larger than in the case of the type N pattern (Fig. 12a and Table 2). The <inline-formula><mml:math id="M671" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
conversion ratio was 0.3 when the air mass reached Fukuoka (Fig. 12f). The
increase in SO<inline-formula><mml:math id="M672" display="inline"><mml:mrow><mml:msubsup><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> over Fukuoka compared with over China was
<inline-formula><mml:math id="M673" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>67.2 % (Table 2). The behavior of gas-phase HNO<inline-formula><mml:math id="M674" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M675" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
was similar in type N patterns (Figs. 12d and  e); the NH<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration was high over China, and HNO<inline-formula><mml:math id="M677" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> gradually increased after
the air mass approached the ocean, partly because coarse-mode NO<inline-formula><mml:math id="M678" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
was produced. However, the NH<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was smaller compared with
type N patterns and remained near zero when the air mass passed over Henan
Province (Fig. 12e). The adjGR showed a slight NH<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich status over China
(<inline-formula><mml:math id="M681" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54 to <inline-formula><mml:math id="M682" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 h) and shifted to an NH<inline-formula><mml:math id="M683" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral status before the air mass
left China (<inline-formula><mml:math id="M684" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 h). At the same time, the ratio of NO<inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
indicated by <inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, decreased to 0.45 (Fig. 12f and Table 2).
Similar to type N, the rates of decrease in total sulfate, total nitrate, and total ammonia
were generally consistent with the rates of decrease in normalized BC and
CO.</p>
      <p>To summarize the key points for type N and S patterns, the behavior of
SO<inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:msubsup><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>, NO<inline-formula><mml:math id="M688" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and HNO<inline-formula><mml:math id="M689" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations during transport
from China to Japan is shown in Fig. 13. The relative percentages of the
concentration of each species to the total concentration of SO<inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:msubsup><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>,
NO<inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and HNO<inline-formula><mml:math id="M692" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are shown. It is clear that NO<inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was not
produced, whereas SO<inline-formula><mml:math id="M694" display="inline"><mml:mrow><mml:msubsup><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 produced during transport from China to
Fukuoka. Types N and S both showed the dominance of NH<inline-formula><mml:math id="M695" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M696" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (over
70 %) when the air mass was over China (<inline-formula><mml:math id="M697" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48 h). For the air mass close
to Fukuoka, because there was no NH<inline-formula><mml:math id="M698" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NH<inline-formula><mml:math id="M699" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M700" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decomposed into
gas-phase NH<inline-formula><mml:math id="M701" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and HNO<inline-formula><mml:math id="M702" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Therefore, HNO<inline-formula><mml:math id="M703" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
increased as the air mass reached Fukuoka for types N and S. At this time,
the SO<inline-formula><mml:math id="M704" display="inline"><mml:mrow><mml:msubsup><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> concentration was important in determining the NO<inline-formula><mml:math id="M705" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration. SO<inline-formula><mml:math id="M706" display="inline"><mml:mrow><mml:msubsup><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> production (Figs. 11b and 12b) through an
aqueous-phase reaction was indicated by the HO<inline-formula><mml:math id="M707" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (Figs. 11c
and 12c), and <inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed a large difference between types N (lower
than 0.1 during transport; Fig. 11f) and S (around 0.3 at Fukuoka;
Fig. 12f). Once
H<inline-formula><mml:math id="M709" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M710" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> was produced via an aqueous-phase reaction, it reacted with
gas-phase NH<inline-formula><mml:math id="M711" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to produce (NH<inline-formula><mml:math id="M712" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>SO<inline-formula><mml:math id="M713" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, leading to the further
decomposition of NH<inline-formula><mml:math id="M714" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M715" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The ratio of NO<inline-formula><mml:math id="M716" display="inline"><mml:mrow><mml:msubsup><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="M717" display="inline"><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>n</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>)
showed different behavior for types N (around 0.8 during transport;
Figs. 11f) and S (lower than 0.5 at Fukuoka; Fig. 12f). The transport pattern
under similar conditions over China was determined by the low SO<inline-formula><mml:math id="M718" display="inline"><mml:mrow><mml:msubsup><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>
concentration maintaining a higher NO<inline-formula><mml:math id="M719" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration at Fukuoka
(type N), or by SO<inline-formula><mml:math id="M720" display="inline"><mml:mrow><mml:msubsup><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> production under a higher relative humidity
resulting in the dominance of SO<inline-formula><mml:math id="M721" display="inline"><mml:mrow><mml:msubsup><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> with further NH<inline-formula><mml:math id="M722" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
decomposition (type S).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>The path analysis of the model results along trajectories <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M725" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The percentages of each concentration relative to the sum of the
SO<inline-formula><mml:math id="M726" display="inline"><mml:mrow><mml:msubsup><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>, NO<inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and HNO<inline-formula><mml:math id="M728" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in equivalent
units are shown. The time axis indicates the backward time from Fukuoka. The
brown
and blue bars at the bottom are schematics of the trajectory location over
land and ocean.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f13.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Outflow analysis</title>
      <p>Finally, the outflow of SO<inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M730" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> from China to
western Japan during the intensive observation campaign is summarized in
Fig. 14. In this figure, the modeled SO<inline-formula><mml:math id="M731" display="inline"><mml:mrow><mml:msubsup><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 NO<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentrations were averaged at 32–36<inline-formula><mml:math id="M733" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N to cover the four sites
in Japan (Fig. 1) and are shown as a time–longitude cross section. The
longitudes of Shanghai, the Goto Islands, Tsushima Island, Fukuoka, and
Tottori are indicated at the bottom of the figure. This outflow analysis can
help to identify the areas affected by transboundary heavy pollution. A
main outflow from China to western Japan occurred twice (types N and S). The
outflow concentration of SO<inline-formula><mml:math id="M734" display="inline"><mml:mrow><mml:msubsup><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 lower on 11 January for type N
and larger on 17 January  for type S; a high concentration of more than
15 <inline-formula><mml:math id="M735" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M736" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> reached 130<inline-formula><mml:math id="M737" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (Fukuoka) and a concentration of
around 10 <inline-formula><mml:math id="M738" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M739" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> reached 134<inline-formula><mml:math id="M740" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (Tottori) for type S
(Fig. 14a). The outflow of NO<inline-formula><mml:math id="M741" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was observed over the Goto
Islands, Tsushima Island, and Fukuoka on 11 January  for type N, whereas the
high concentration of over 10 <inline-formula><mml:math id="M742" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M743" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was limited to the East China
Sea region on 17 January  for type S. A concentration of NO<inline-formula><mml:math id="M744" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> of
more than 5 <inline-formula><mml:math id="M745" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M746" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> did not reach 134<inline-formula><mml:math id="M747" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (Tottori) for
type N (Fig. 14b). The outflow analysis suggested that SO<inline-formula><mml:math id="M748" display="inline"><mml:mrow><mml:msubsup><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> can
be transported over longer distances, whereas transboundary NO<inline-formula><mml:math id="M749" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> air
pollution is limited to western Japan, especially over Kyushu.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>The outflow frequency of (a) SO<inline-formula><mml:math id="M750" display="inline"><mml:mrow><mml:msubsup><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 (b) NO<inline-formula><mml:math id="M751" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The
contours shown by the white lines for NO<inline-formula><mml:math id="M752" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> represent 30, 40, 50, and
60 <inline-formula><mml:math id="M753" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M754" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The model results are averaged over
32–36<inline-formula><mml:math id="M755" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and are shown as a time–longitude cross section. The
longitudes of the representative locations are indicated by the thin black
lines, and the location names are written in brown and blue at the bottom of the figure.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/3823/2017/acp-17-3823-2017-f14.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusion</title>
      <p>Using state-of-the-art observation systems to capture SNA behavior and a
chemical transport model, two episodes of high PM<inline-formula><mml:math id="M756" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations of
around 100 <inline-formula><mml:math id="M757" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M758" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were analyzed that occurred in winter over
western Japan. The first episode (11 January) was dominated by
NO<inline-formula><mml:math id="M759" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (type N) and the second episode (17 January) by
SO<inline-formula><mml:math id="M760" display="inline"><mml:mrow><mml:msubsup><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> (type S). The chemical transport model captured the behavior
of SNA and the related gas-phase species of HNO<inline-formula><mml:math id="M761" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M762" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> as well
as coarse-mode NO<inline-formula><mml:math id="M763" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> observed over Japan. The model also reproduced
PM<inline-formula><mml:math id="M764" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> variation over China. To evaluate the domestic contributions,
a sensitivity analysis was performed. In this analysis, the anthropogenic
emissions from Japan were switched off in the chemical transport model. The
results showed some domestic contributions for NO<inline-formula><mml:math id="M765" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, although the
type N and S patterns were dominated by transboundary air pollution, even at
Fukuoka. The effects of transboundary air pollution on type N and S patterns
were also confirmed by analyzing the behavior of BC at Fukuoka and the
remote Goto Islands. The importance of transboundary air pollution for
coarse-mode NO<inline-formula><mml:math id="M766" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, produced by abundant HNO<inline-formula><mml:math id="M767" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and sea salt
particles, was also revealed. To investigate the characteristic differences
between type N and S patterns, the chemical transport model results were
analyzed by backward trajectory analysis from Fukuoka to continental Asia.
We also evaluated the adjusted gas ratio (adjGR), which indicates the
sensitivity of NO<inline-formula><mml:math id="M768" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to changes in SO<inline-formula><mml:math id="M769" display="inline"><mml:mrow><mml:msubsup><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
NH<inline-formula><mml:math id="M770" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and examined <inline-formula><mml:math id="M771" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which is the conversion ratio of SO<inline-formula><mml:math id="M772" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
to SO<inline-formula><mml:math id="M773" display="inline"><mml:mrow><mml:msubsup><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>. For the SO<inline-formula><mml:math id="M774" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> aqueous-phase reaction, H<inline-formula><mml:math id="M775" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M776" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
is the most effective oxidant. Thus, HO<inline-formula><mml:math id="M777" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which produces H<inline-formula><mml:math id="M778" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M779" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
through self-reaction, was also analyzed. The features of type N and S
patterns are summarized as follows.
<list list-type="bullet"><list-item>
      <p>In the type N transport pattern, NO<inline-formula><mml:math id="M780" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was mainly the
NH<inline-formula><mml:math id="M781" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> counterion during transport from China to Japan. A high
NO<inline-formula><mml:math id="M782" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration of more than 10 <inline-formula><mml:math id="M783" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M784" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was observed at
Fukuoka. NH<inline-formula><mml:math id="M785" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was abundant and HNO<inline-formula><mml:math id="M786" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was completely consumed to
produce NO<inline-formula><mml:math id="M787" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> over China; hence, the adjGR indicated an NH<inline-formula><mml:math id="M788" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich
status, which meant full neutralization of both SO<inline-formula><mml:math id="M789" display="inline"><mml:mrow><mml:msubsup><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
NO<inline-formula><mml:math id="M790" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> over China. After the air mass left China, HNO<inline-formula><mml:math id="M791" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
increased and NH<inline-formula><mml:math id="M792" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was close to zero, so the adjGR shifted to an
NH<inline-formula><mml:math id="M793" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral status. The SO<inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:msubsup><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> concentration was always lower
than the NO<inline-formula><mml:math id="M795" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration. This was because the HO<inline-formula><mml:math id="M796" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration was less than 3 pptv during transport from China to Fukuoka,
and <inline-formula><mml:math id="M797" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> suggested a slow conversion ratio for SO<inline-formula><mml:math id="M798" display="inline"><mml:mrow><mml:msubsup><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> of less 0.1.
SO<inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:msubsup><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> production via an aqueous-phase reaction was also inhibited.
This also explained why the air mass maintained a higher NO<inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration during transport.</p></list-item><list-item>
      <p>In the type S transport pattern, the ion balance between NH<inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
NO<inline-formula><mml:math id="M802" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with SO<inline-formula><mml:math id="M803" display="inline"><mml:mrow><mml:msubsup><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> showed that the counterion of
NH<inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was mainly NO<inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> over China and then became
SO<inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:msubsup><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> as the air mass left China and approached Fukuoka. A high
concentration of SO<inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:msubsup><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> of more than 20 <inline-formula><mml:math id="M808" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M809" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was
observed at Fukuoka. The change in <inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 0.1 to 0.3 when the air mass
reached Fukuoka was consistent with this observation. Higher <inline-formula><mml:math id="M811" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were
related to higher relative humidity and HO<inline-formula><mml:math id="M812" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, indicating
the high production of SO<inline-formula><mml:math id="M813" display="inline"><mml:mrow><mml:msubsup><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 an aqueous-phase reaction
(H<inline-formula><mml:math id="M814" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The production of H<inline-formula><mml:math id="M816" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M817" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> promoted the reaction
with NH<inline-formula><mml:math id="M818" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to produce (NH<inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>SO<inline-formula><mml:math id="M820" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and the further decomposition
of NH<inline-formula><mml:math id="M821" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M822" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during the transport process from China to Fukuoka. The
temporal behavior of gas-phase HNO<inline-formula><mml:math id="M823" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M824" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was similar for type N;
however, the NH<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was lower. The adjGR showed almost
NH<inline-formula><mml:math id="M826" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-neutral conditions during type S. The production of SO<inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:msubsup><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 the insufficient supply of NH<inline-formula><mml:math id="M828" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> contributed to the rapid
decomposition of NH<inline-formula><mml:math id="M829" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M830" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in this case.</p></list-item></list>
In this study, we clarified two types of transport patterns for SNA. The
spatial distribution pattern of the outflow over East Asia in January
2015 showed that the outflow of SO<inline-formula><mml:math id="M831" display="inline"><mml:mrow><mml:msubsup><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> stretched over the whole of
western Japan, whereas transboundary NO<inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> air pollution played an
important role over Kyushu in western Japan. Generally, transboundary
air pollution dominated by SO<inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:msubsup><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> (type S) has been recognized over
East Asia, but we have elucidated the effect of transboundary heavy
pollution dominated by NO<inline-formula><mml:math id="M834" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (type N). Our findings demonstrate the
importance of NO<inline-formula><mml:math id="M835" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> long-range transport.</p>
      <p>The study period was limited to January 2015, so the analyzed period should
be extended to investigate the type S and N transport patterns further. The
variation in the gas ratio for emissions (GRe), which considers the balance
between SO<inline-formula><mml:math id="M836" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M837" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and NH<inline-formula><mml:math id="M838" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (analogous to Eq. 4), may be useful for
future analysis. The emission reductions achieved by the 12th Chinese Five
Year Plan for 2011–2015 (Asia Society, 2016) resulted in a GRe
increase, which caused an NH<inline-formula><mml:math id="M839" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-rich status compared with the current
status. Moreover, the target for the 13th Chinese Five Year Plan for
2016–2020 suggests that there will be further increases in GRe. The effects of
different reduction rates for SNA precursor gases on transboundary
NO<inline-formula><mml:math id="M840" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> air pollution, especially over western Japan, should be
modeled.</p>
</sec>

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

      <p>To request observation data used in this study for
scientific research purposes, please contact Itsushi Uno at Kyushu University
via email (uno@riam.kyushu-u.ac.jp). Model simulations were based on CMAQ,
open-source and publicly available software. The model and related software can
be downloaded from <uri>https://www.cmascenter.org/download.cfm</uri> for
registered users.</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="authorcontribution">

      <p>Itsushi Uno designed the synergetic observations at the Chikushi Campus of Kyushu
University and other remote sites in western Japan. Shigekazu Yamamoto and
Kazuo Osada respectively carried out the ground-based ACSA and NH<inline-formula><mml:math id="M841" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
monitor observations at Fukuoka. Yusuke Kamiguchi and Kazuo Osada conducted
air sampling and chemical analysis for D–F pack samples during the intensive
observation period at Fukuoka. Kazuo Osada and Yasunori Kurosaki measured
PM<inline-formula><mml:math id="M842" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and analyzed samples at Tottori. Kei Tamura analyzed the
observations from the remote sites on Tsushima Island and the Goto Islands.
Yugo Kanaya conducted the BC observations at Fukuoka and the Goto Islands.
Zhe Wang and Syuichi Itahashi discussed the modeling configuration, and
Zhe Wang conducted the model comparison to brush up the model results.
Syuichi Itahashi developed the modeling system, performed the model
simulations and analysis, and prepared the paper with the contributions from
all coauthors.</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 Japan Society for the Promotion of Science
(JSPS), KAKENHI grant numbers JP25220101, JP23310004, and JP15H02803 as well
as by the Environment Research and Technology Development Fund of the
Ministry of the Environment, Japan (nos. S-7, 2-1403, and 5-1505). This
work was partly funded by a joint research program through the Arid Land
Research Center at Tottori University (no. 28C2011) and by a collaborative
research program through the Research Institute for Applied Mechanics at
Kyushu University (no. 26AO-2, 27AO-6, 28AO-2, 28AO-10). We thank Sayako Ueda
at Nagoya University for analyzing tape filters at Tottori University. We
acknowledge the Ministry of the Environment, Japan, for providing the
preliminary observation data at Tsushima before final
production.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: F. Dentener
<?xmltex \hack{\newline}?> Reviewed by: three anonymous referees</p></ack><ref-list>
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    </app></app-group></back>
    <!--<article-title-html>Nitrate transboundary heavy pollution over East Asia in winter</article-title-html>
<abstract-html><p class="p">High PM<sub>2. 5</sub> concentrations of around
100 µg m<sup>−3</sup> were observed twice during an intensive
observation campaign in January 2015 at Fukuoka (33.52° N,
130.47° E) in western Japan. These events were analyzed
comprehensively with a regional chemical transport model and synergetic
ground-based observations with state-of-the-art measurement systems, which
can capture the behavior of secondary inorganic aerosols (SO<sub>4</sub><sup>2−</sup>,
NO<sub>3</sub><sup>−</sup>, and NH<sub>4</sub><sup>+</sup>). The first episode of high PM<sub>2. 5</sub>
concentration was dominated by NO<sub>3</sub><sup>−</sup> (type N) and the second episode
by SO<sub>4</sub><sup>2−</sup> (type S). The concentration of NH<sub>4</sub><sup>+</sup> (the counterion
for SO<sub>4</sub><sup>2−</sup> and NO<sub>3</sub><sup>−</sup>) was high for both types. A sensitivity
simulation in the chemical transport model showed that the dominant
contribution was from transboundary air pollution for both types. To
investigate the differences between these types further, the chemical
transport model results were examined, and a backward trajectory analysis was
used to provide additional information. During both types of episodes, high
concentrations of NO<sub>3</sub><sup>−</sup> were found above China, and an air mass that
originated from northeast China reached Fukuoka. The travel time from the
coastline of China to Fukuoka differed between types: it was 18 h for type N
and 24 h for type S. The conversion ratio of SO<sub>2</sub> to SO<sub>4</sub><sup>2−</sup>
(<i>F</i><sub>s</sub>) was less than 0.1 for type N, but reached 0.3 for type S as
the air mass approached Fukuoka. The higher <i>F</i><sub>s</sub> for type S was
related to the higher relative humidity and the concentration of HO<sub>2</sub>,
which produces H<sub>2</sub>O<sub>2</sub>, the most effective oxidant for the
aqueous-phase production of SO<sub>4</sub><sup>2−</sup>. Analyzing the gas ratio as an
indicator of the sensitivity of NO<sub>3</sub><sup>−</sup> to changes in SO<sub>4</sub><sup>2−</sup> and
NH<sub>4</sub><sup>+</sup> showed that the air mass over China was NH<sub>3</sub>-rich for
type N, but almost NH<sub>3</sub>-neutral for type S. Thus, although the high
concentration of NO<sub>3</sub><sup>−</sup> above China gradually decreased during
transport from China to Fukuoka, higher NO<sub>3</sub><sup>−</sup> concentrations were
maintained during transport owing to the lower SO<sub>4</sub><sup>2−</sup> for type N. In
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