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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-22-5329-2025</article-id><title-group><article-title>Chemical and stable carbon isotopic compositions of PM<sub>2.5</sub> from two typical forests in China: implication for sources</article-title><alt-title>Chemical and carbon isotopic compositions of PM<sub>2.5</sub> in two Chinese forests</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Mingyu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Xu</surname><given-names>Zhanjie</given-names></name>
          <email>xuzhanjie@tju.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dong</surname><given-names>Zhichao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Deng</surname><given-names>Junjun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6942-5742</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fu</surname><given-names>Pingqing</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6249-2280</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Pavuluri</surname><given-names>Chandra Mouli</given-names></name>
          <email>cmpavuluri@tju.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-2955-474X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Surface-Earth System Science, School of Earth System Science, Tianjin University, Tianjin 300072, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Zhanjie Xu (xuzhanjie@tju.edu.cn) and Chandra Mouli Pavuluri (cmpavuluri@tju.edu.cn)</corresp></author-notes><pub-date><day>7</day><month>October</month><year>2025</year></pub-date>
      
      <volume>22</volume>
      <issue>19</issue>
      <fpage>5329</fpage><lpage>5347</lpage>
      <history>
        <date date-type="received"><day>21</day><month>March</month><year>2025</year></date>
           <date date-type="accepted"><day>18</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>31</day><month>July</month><year>2025</year></date>
           <date date-type="rev-request"><day>8</day><month>May</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Mingyu Li et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025.html">This article is available from https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e144">To elucidate the origin and seasonality of atmospheric aerosols in forest areas, simultaneous PM<sub>2.5</sub> collection was carried out in two typical forest sites: Changbai Mountain (CB, 42.40° N, 128.11° E), North China and Xishuangbanna (BN, 22.25° N, 100.89° E), South China, at day and night during the summer and winter periods of 2023–2024. Carbonaceous and nitrogenous components, water-soluble inorganic ions (WSII) and stable carbon isotopic composition of total carbon (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) were measured in PM<sub>2.5</sub>. Generally, the contents of carbonaceous and nitrogenous components were higher in winter than in summer, with secondary organic carbon (SOC) and water-soluble organic carbon (WSOC) being higher in daytime than that in nighttime at both CB and BN. The average concentrations of WSII in total samples were 5.36 and 2.23 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB and BN, respectively. <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were dominant at CB, while <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were dominant at BN, which accounted for 86 % and 89 % to the total ions, respectively. <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at CB, while <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at BN. Besides biogenic emissions, the emissions from biomass burning and terrestrial and/or marine organisms were major sources of aerosols at both sites. Furthermore, fossil fuel combustion contributed more significantly at CB than at BN in winter. This study sheds better light on the seasonality in chemical composition and origins of PM<sub>2.5</sub> in forest areas in North and South China.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42277090</award-id>
<award-id>42202199</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e368">Fine aerosols are the particulate matter with an aerodynamic diameter less than or equal to 2.5 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (PM<sub>2.5</sub>) in the atmosphere. PM<sub>2.5</sub> can influence the Earth's climate system through solar radiation absorption or scattering, and indirectly by acting as cloud condensation nuclei (Liou and Ou, 1989; Ramana and Devi, 2016). In addition, PM<sub>2.5</sub> has been found to have adverse impacts on visibility, human health and ecosystems (Shaughnessy et al., 2015; Maji et al., 2018; Zhang et al., 2019; Xue et al., 2022; Chen et al., 2023; Zheng et al., 2024). Furthermore, recent studies have found that PM<sub>2.5</sub> affects productivity and aggravates socio-economic inequality (Peeples, 2020; Canaday et al., 2024; Li et al., 2024).</p>
      <p id="d2e417">PM<sub>2.5</sub> consists mainly of water-soluble inorganic ions (WSII), carbonaceous components and trace elements (Wang et al., 2017; Zhao et al., 2022). Among them, WSII account for about 20 %–60 % of PM<sub>2.5</sub>, and their proportion increases with increasing pollution levels (Cao et al., 2007; Tao et al., 2014; Yin et al., 2014; He et al., 2017; Guo et al., 2023). Carbonaceous components primarily consist of elemental carbon (EC) and organic carbon (OC). EC originates mainly from incomplete combustion of biomass and fossil fuels (Sharma et al., 2022). While OC is derived from primary organic matter directly released as particulate matter from pollution sources and by secondary formation from anthropogenic or biogenic emissions of volatile organic compounds (VOCs) (Ehn et al., 2014). Notably, WSII promote the formation of secondary organic aerosols (SOA) (Pathak et al., 2003; Fu et al., 2024). However, tracing the sources clearly by measuring only the chemical components in PM<sub>2.5</sub> is difficult. In recent studies, the stable carbon isotope ratios of total carbon (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) have been proven to aid in identifying the sources and transformation processes of PM<sub>2.5</sub> (Kawamura et al., 2004; Aggarwal et al., 2013; Kunwar et al., 2016; Pavuluri et al., 2011b).</p>
      <p id="d2e474">Recent research on the sources of PM<sub>2.5</sub> has been extensively conducted worldwide (Kawashima et al., 2023; Espina-Martin et al., 2024; Chen et al., 2025). Therefore, comprehensive chemical composition studies of PM<sub>2.5</sub> from different regions remain important. Chinese studies on atmospheric PM<sub>2.5</sub> are predominantly focused on large and medium-sized cities and other regions with substantial populations or severe pollution, like the Beijing-Tianjin-Hebei urban agglomeration and the Yangtze River Delta. (Huang et al., 2014; Wang et al., 2021; Dong et al., 2023; Li et al., 2024). Nevertheless, due to variations in pollution sources, climate, geographical location, and other factors in different regions, the characteristics of PM<sub>2.5</sub> concentration and its chemical composition differ in various areas. Compared with urban areas, the composition of aerosols in forest regions are complex due to larger contributions of natural source components and their secondary formation and aging mechanisms make them more complicated (Bhat and Fraser, 2007; Mo et al., 2015; Ren et al., 2019; Ehn et al., 2014; Kourtchev et al., 2009). Forest plants act as major sources of biogenic VOCs, which serve as crucial precursors to PM<sub>2.5</sub>, and can form biogenic SOA through photochemical reactions (Yuan et al., 2013; Wu et al., 2020). Furthermore, biomass burning is also a significant source of organic aerosol (OA), during which significant quantities of VOCs and particulate matter are emitted. These substances undergo a series of intricate chemical transformations, resulting in substantial OA formation (Long et al., 2023). This can seriously affect air quality, inducing marked elevations in PM<sub>2.5</sub> mass concentrations and posing a threat to public health (Bu et al., 2021; Chen et al., 2024; Yin et al., 2024). Therefore, research on the characterization and origin of aerosols in forest areas is necessary.</p>
      <p id="d2e532">China has a vast land with a forest coverage of 24.02 % in 2022. Therefore, we selected two typical forest areas that covered with different types of vegetation and located in the southern and northern China, representing the temperate and tropical zones of China, respectively, for this study. Here, we report the temporal variability in the concentrations and compositions of carbonaceous components, WSII, nitrogenous components, as well as <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of PM<sub>2.5</sub> at each site. Based on the data obtained, we explore the origins and aging processes of PM<sub>2.5</sub> in the forest regions in China.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>PM<sub>2.5</sub> Sampling</title>
      <p id="d2e596">PM<sub>2.5</sub> sampling was performed at two forest sites: (i) the Changbai Mountain Forest Ecosystem Positioning Research Station of the Chinese Academy of Sciences (CB) in Jilin Province, Northeastern China [42.40° N, 128.11° E, 740 m a.s.l.] and (ii) the Guanping Management Station of Xishuangbanna National Nature Reserve (BN) in Yunnan Province, Southwestern China [22.25° N, 100.89° E, 872 m a.s.l.]. The weather over CB, where mixed coniferous and deciduous broad-leaved forests predominate, is characterized by temperate monsoon climate with cold-dry winters and warm-humid summers. The winter atmospheric conditions are significantly influenced by northwest monsoon, resulting in distinct atmospheric pollutant transport over the CB region. The BN is situated in the tropical monsoon climate zone with year-round warm-humid conditions, featuring predominantly tropical rainforest vegetation with rich biodiversity, where minimal human activity due to remoteness from industrial regions maintains atmospheric conditions closer to natural background levels.</p>
      <p id="d2e608">Aerosol samples (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula>) were collected on pre-combusted (450 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, 6 h) quartz membrane filters (405.3 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) employing a high-volume air sampler operated at 1.0 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in daytime (23:30–10:30 UTC) and nighttime (11:00–24:00 UTC) in summer from 22 July to 7 August 2023 and in winter from 26 December 2023 to 9 January 2024. Prior to and after sampling, blank samples were obtained by setting the filter membrane on the sampler and allowing it to remain for 5 min without air pumping. The filter membrane was immediately wrapped in aluminum foil, sealed in a plastic pouch, and stored away from light after sampling. All samples were preserved under <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> conditions until analysis.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Chemical analyses</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Measurement of carbonaceous components</title>
      <p id="d2e700">The mass concentrations of OC and EC were measured using a semi-continuous thermal/optical OC <inline-formula><mml:math id="M46" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC analyzer (Sunset Laboratory, USA). The distinction between OC and EC is achieved via real-time monitoring of light reflectance/transmittance changes during the heating process using a laser/light source, i.e. the IMPROVE protocol of the protective visual environment (Wan et al., 2017, 2015). Briefly, a portion of a filter was extracted and positioned in a quartz boat situated within the thermal desorption chamber, followed by combustion through a two-step heating procedure.</p>
      <p id="d2e710">Water-soluble OC (WSOC) was isolated from filter aliquots through ultrasonic extraction using Milli-Q water and quantified employing a TOC analyzer (OI Analytical, model 1030W C 1088). All measured concentrations were field blank-corrected to ensure data accuracy, by subtracting the measured blank values from the sample values. The following equation was used to estimate the total carbon (TC) and water-insoluble OC (WIOC).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M47" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>TC</mml:mtext><mml:mo>=</mml:mo><mml:mtext>OC</mml:mtext><mml:mo>+</mml:mo><mml:mtext>EC</mml:mtext></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>WIOC</mml:mtext><mml:mo>=</mml:mo><mml:mtext>OC</mml:mtext><mml:mo>-</mml:mo><mml:mtext>WSOC</mml:mtext></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Owing to technical limitations in direct SOC determination, an EC tracer-based method was implemented for SOC assessment, which was estimated based on the following equation (Castro et al., 1999):

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M48" display="block"><mml:mrow><mml:mtext>SOC</mml:mtext><mml:mo>=</mml:mo><mml:mtext>OC</mml:mtext><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mtext>EC</mml:mtext><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mtext>OC</mml:mtext><mml:mo>/</mml:mo><mml:mtext>EC</mml:mtext><mml:msub><mml:mo>)</mml:mo><mml:mtext>min</mml:mtext></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

            where (OC <inline-formula><mml:math id="M49" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC)<sub>min</sub> is the minimum value of the mass concentration ratio of OC <inline-formula><mml:math id="M51" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC produced from primary emissions. Considering the differences in meteorological conditions and pollution source emissions at each sampling sites in different seasons, the average value of three (OC <inline-formula><mml:math id="M52" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC)<sub>min</sub> monitored in different seasons at the sampling sites was applied to estimate the SOC. The minimum OC <inline-formula><mml:math id="M54" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC ratios of 23.59, 7.15 in CB and 7.57, 17.26 in BN during the summer and winter, respectively.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Measurement of inorganic ions</title>
      <p id="d2e844">The water-soluble ionic species (<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were measured using ion chromatography (ICS 5000+, Thermo Fisher). Briefly, an aliquot of a filter sample was ultrasonically extracted into 10 mL of Milli-Q water for 10 min (repeated 3 times). The extracts were then filtered through 0.22 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> polytetrafluoroethylene (PTFE). To measure anions, an eluent consisting of <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaHCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was utilized at a controlled flow rate of 1.2 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For cation determination, methyl sulfonic acid functioned as the eluent, operating at a flow rate of 1.0 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> as described elsewhere (Dong et al., 2023; Pavuluri et al., 2011a). The concentrations of all ionic components were corrected for field blanks, by subtracting the measured blank values from the sample values. Generally, the error in duplicate analyses did not exceed 4 %. The nss-<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and nss-<inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were calculated using <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as a reference tracer for sea-salt correction (Tripathee et al., 2017).</p>
      <p id="d2e1080">It is worth noting that quartz filter membranes may interfere with certain specific cations (<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). After measurement, it was found that the values of <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (1.54, 0.05 and 0.02 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; respectively) in the blank membranes were high, while the concentrations of <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the PM<sub>2.5</sub> samples were very low (0.06 and 0.10 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively) at BN. Therefore, the <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the BN's PM<sub>2.5</sub> samples were not discussed. The values of all ions in the blank membranes at CB were very low, and hence we believe that their influence on these cations is negligible at CB.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Measurement of nitrogenous components</title>
      <p id="d2e1279">Water-soluble total nitrogen (WSTN) was measured by a continuous-flow analyzer. The filter sample was ultrasonically extracted for 10 min in 10 mL of Milli-Q water, repeated 3 times. The aqueous fractions were filtered using a 0.22 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>-sized PTFE membrane filter and subsequently mixed with excess <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The nitrogen (N) is converted to nitrate (<inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) through ultraviolet digestion and then reduced to nitrite (<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). After that, <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reacts with aminobenzene sulfonic acid to produce high molecular weight nitrogen compounds (Azo dye), and then the absorbance of total N was measured at 540 nm. The inorganic nitrogen (IN) concentration was calculated by summing the measured concentrations of <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>-N, <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-N, and <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>-N. The concentration difference between WSTN and IN was regarded as water-soluble organic nitrogen (WSON) (Pavuluri et al., 2015; Dong et al., 2023).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M94" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>[</mml:mo><mml:mtext>IN</mml:mtext><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:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>[</mml:mo><mml:mtext>WSON</mml:mtext><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mtext>WSTN</mml:mtext><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mtext>IN</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Determination of stable carbon isotope ratios of TC</title>
      <p id="d2e1504">Stable carbon isotope ratios of TC (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) in PM<sub>2.5</sub> were analyzed through a Flash 2000HT elemental analyzer connected to a 253 Plus isotope ratio mass spectrometer (EA-IRMS). Overall, an aliquot of the filter was wrapped and injected into EA, with the evolved gases <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> delivered to an IRMS via ConFlo-II for the determination of <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in TC. The delta (<inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>) values represent the isotope ratio of <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, in parts per mille (‰) with reference to Pee Dee Belemnite for carbon isotopes. The isotope conversion equation is as follows:

              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M101" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi/><mml:mtext>TC</mml:mtext></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo mathsize="1.1em">[</mml:mo><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:msub><mml:mo>)</mml:mo><mml:mtext>standard</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo mathsize="1.1em">]</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e1677">The error derived from replicate analysis remains within 0.3 ‰. The samples were not decarbonized before measurement. Due to the fact that average <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations were found to be low (<inline-formula><mml:math id="M103" display="inline"><mml:mn mathvariant="normal">0.03</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M104" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mn mathvariant="normal">0.02</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, CB; <inline-formula><mml:math id="M107" display="inline"><mml:mn mathvariant="normal">0.09</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M109" display="inline"><mml:mn mathvariant="normal">0.07</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, BN) in these samples so that we assume that the contribution of <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and its <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to aerosols is negligible (Wang et al., 2005; Pavuluri et al., 2011b).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Meteorological parameters and simulations of air mass trajectories</title>
      <p id="d2e1810">Meteorological parameters, including temperature, relative humidity, and wind speed at CB and BN, were from the Xihe Energy Big Data Platform (<uri>https://xihe-energy.com/#geo</uri>, last access: 31 July 2025). Seasonal and diurnal variations in the planetary boundary layer height were reported by Wu et al. (2024). To analyze air mass transport patterns, 72 h backward trajectories arriving at CB and BN at an altitude of 300, 500, and 1000 m above the ground level were calculated employing the Hybrid Single Particle Lagrangian Integrated Trajectory (HYSPLIT) model from the National Oceanic and Atmospheric Administration (<uri>https://www.ready.noaa.gov/index.php</uri>, last access: 1 October 2025). </p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Differences in meteorology and long-range transported air masses between the sampling sites</title>
      <p id="d2e1836">Figure 1 illustrates 72 h backward air mass trajectory clusters. It revealed the air masses that reaching CB originated primarily from the Pacific Ocean, including the Yellow Sea and the East China Sea, while BN was primarily affected by the southwestern airflow from the Indian Ocean from the Bay of Bengal in summer. In winter, the air masses to CB were derived from, North China and Mongolia. Compared with CB, the local source contribution at BN during winter was higher.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1841">Clustered 72 h backward airmass trajectories plots (above the ground level: 300, 500, and 1000 m) at CB and BN, China during 2023–2024.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f01.jpg"/>

        </fig>

      <p id="d2e1850">The temporal variations of meteorological parameters at two sites are depicted in Fig. 2. The ambient temperatures at CB and BN during the campaigns exhibited seasonal variations. The temperatures at BN were similar to those at CB during summer, whereas in winter, the temperatures at BN (avg. 14.8 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) were significantly higher than those at CB (avg. <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). Both the pressure and wind speed were found to be higher at CB. Significant diurnal variations in relative humidity were observed at both sites, where CB demonstrated daytime and nighttime values of 84.84 % and 72.03 %, respectively, compared to BN's corresponding measurements of 90.84 % and 73.96 %.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1886">Temporal variations of meteorological parameters at CB and BN, China during 2023–2024.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Chemical results</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Characterization of inorganic ions and nitrogenous components</title>
      <p id="d2e1910">The linear regressions of total cations and anions were shown in Fig. 3. The ratio of the equivalent concentrations of cation (CE) and anion (AE) can effectively evaluate the acid-base balance of aerosols (Tian et al., 2018). The formulas are as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M116" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>AE</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mn mathvariant="normal">35.5</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mn mathvariant="normal">48</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><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:mn mathvariant="normal">62</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mtext>CE</mml:mtext><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mn mathvariant="normal">23</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mn mathvariant="normal">18</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mn mathvariant="normal">39</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mn mathvariant="normal">24</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mn mathvariant="normal">40</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            If the CE is greater than the AE, PM<sub>2.5</sub> is alkaline, and vice versa. Average annual equivalent ratios of total cations (<inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to anions (<inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were <inline-formula><mml:math id="M126" display="inline"><mml:mn mathvariant="normal">1.62</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mn mathvariant="normal">0.53</mml:mn></mml:math></inline-formula> at CB and <inline-formula><mml:math id="M129" display="inline"><mml:mn mathvariant="normal">1.92</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M130" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mn mathvariant="normal">0.80</mml:mn></mml:math></inline-formula> at BN, indicating that the aerosols at these two sites are alkaline. The high ratio of CE<inline-formula><mml:math id="M132" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>AE might be due to the enhanced <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission caused by high temperature and agricultural activities (Qiao et al., 2019). It also should be noted that the excessive cations at both sites might be related to unmeasured anions like oxalate. Furthermore, soluble organic acid ions might also be the cause of the anion deficits at CB and BN. A more comprehensive investigation of this matter will be conducted in future research initiatives.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e2251">Anion and cation equilibrium in PM<sub>2.5</sub> collected from CB and BN.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f03.png"/>

          </fig>

      <p id="d2e2269">Table S1 in the Supplement shows concentrations of carbonaceous (EC, OC, SOC, WSOC and WIOC) and nitrogenous (WSTN, IN and WSON) components, WSII and <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in PM<sub>2.5</sub> at CB and BN, China in this study. For anions, <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was identified as the predominant ionic species at both sites (CB: 2.31 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; BN: 1.07 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). They accounted for 43 % and of total ionic mass at CB and 52 % at BN, respectively. <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was the second abundant anion at both sites, followed by <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. For cations, <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> was the most abundant ion (CB: 1.18 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; BN: 0.41 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) followed by <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB, whereas at BN, their abundances followed an order: <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>&gt;</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>&gt;</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>&gt;</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. As the main secondary ions in PM<sub>2.5</sub>, the cumulative concentration <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reached 86 % at CB and 76 % at BN of the total ions, respectively. The concentrations of main secondary ions were significantly lower compared to those typically observed in urban sites, such as Tianjin, Beijing, Guangzhou, Chongqing in China, Chennai in India, and Hachinohe in Japan (Pathak et al., 2009; Qiao et al., 2019; Pavuluri et al., 2011a; Dong et al., 2023; Sun and Zhang, 2024). On the other hand, they were comparable to those reported at rural background sites in France (Bressi et al., 2013) and the southeastern United States (Nah et al., 2018), but lower than those reported at the forested site, K-puszta (Kourtchev et al., 2009). Except for <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the mean levels of different ions at CB exceeded those at BN. Ionic species exhibited peak concentrations in winter in their seasonal distributions (Fig. 4). However, the ionic species did not show a clear diurnal variation.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2604">Temporal variations of secondary ionic species concentrations (<inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in PM<sub>2.5</sub> collected from CB and BN, China during 2023–2024.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f04.png"/>

          </fig>

      <p id="d2e2641">The concentrations of <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in PM<sub>2.5</sub> during winter were higher than those in summer by 1.45, 2.55, and 73.00 times, respectively, at CB, and 2.57, 3.76, and 2.25 times, respectively, at BN. The coal combustion is considered as a major source of <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Zhang et al., 2020; Zheng et al., 2022). The concentrations of secondary ions at CB were higher than that at BN in winter. This could be linked to the increased utilization of coal for domestic heating in winter, which leads to substantial emissions of gaseous precursors like <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This also explains the rapid increase in <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations during winter at CB. <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is primarily influenced by industrial and vehicular sources. Except during winter at CB, its concentrations remain consistently low, indicating minimal anthropogenic influence on forest sites. This was consistent with the concentrations reported by Tanner et al. (2004) for rural (avg. 0.04 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and background sites (avg. 0.01 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in the Tennessee Valley, USA, particularly during summer. Oceanic phytoplankton and/or dimethyl sulfide (DMS) emitted from biomass burning undergo photochemical oxidation to convert into <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which subsequently transformed into <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Meinardi et al., 2003). However, <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> can also come from the oceanic emission, but its concentration was very low, indicating that <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was not significantly affected by the oceanic emissions. This further implies the significance of anthropogenic sources. In addition, the low temperatures in winter resulted in a decreased atmospheric boundary layer, which hindered the dispersion of pollutants.</p>
      <p id="d2e2874">Figure 5 summarizes the concentrations and percentage contributions of various water-soluble ionic components. The contribution of <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to total ions at BN was very small in both summer (3 %) and winter (3 %), which may be attributed to the removal effect of wet deposition on nitrate particles due to the hot and humid climate throughout the year. However, the lower temperature environment (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) in winter might facilitated the transformation of gaseous nitric (<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) acid to particulate (<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), thereby potentially increasing the concentration of particulate <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. On the other hand, anthropogenic activities such as winter heating might emit more <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which, after undergoing a sequence of chemical reactions in the atmosphere, were converted into <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Therefore, the contribution of <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (28 %) in winter at CB was relatively high.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2990">Concentrations and percentages of WSII in total ions.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f05.png"/>

          </fig>

      <p id="d2e2999">The average concentration of WSTN was <inline-formula><mml:math id="M184" display="inline"><mml:mn mathvariant="normal">2.33</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M186" display="inline"><mml:mn mathvariant="normal">2.34</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and IN was <inline-formula><mml:math id="M188" display="inline"><mml:mn mathvariant="normal">1.85</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M189" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M190" display="inline"><mml:mn mathvariant="normal">1.26</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB, while <inline-formula><mml:math id="M192" display="inline"><mml:mn mathvariant="normal">1.29</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M194" display="inline"><mml:mn mathvariant="normal">0.51</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M196" display="inline"><mml:mn mathvariant="normal">0.52</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mn mathvariant="normal">0.23</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at BN. WSTN, IN, WSON and secondary ions had the same seasonal variation trend in concentration, with higher levels in winter (Fig. 6). WSON constituted an average of 57.7 % of WSTN at CB and 40.3 % at BN, respectively. WSON<inline-formula><mml:math id="M200" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>WSTN at CB and BN were significantly higher as than other sites located in Himalaya (18 %, hill site), New Delhi, India (19 %, urban site), Sapporo, Japan (9 %, urban site) and Svalbard Islands, Norway (8 %, Coastal site) (Pavuluri et al., 2015; Tripathee et al., 2021; Boreddy et al., 2024; Pei et al., 2024). Similarities were noted with the forest aerosols collected from Rondônia, Brazil, during an intense biomass burning period. (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> %, forest site) (Mace et al., 2003).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3185">Temporal variations of concentrations (<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) of nitrogenous components in PM<sub>2.5</sub> collected from CB and BN, China during 2023–2024.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Characterization of carbonaceous components and <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e3248">Table S1 and Fig. 7 show the mass concentrations and temporal variations of OC, EC, SOC, and WSOC in PM<sub>2.5</sub> at CB and BN in China. The average mass concentrations of OC and EC at CB were <inline-formula><mml:math id="M206" display="inline"><mml:mn mathvariant="normal">2.73</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mn mathvariant="normal">1.72</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M210" display="inline"><mml:mn mathvariant="normal">0.17</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mn mathvariant="normal">0.14</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while those at BN were <inline-formula><mml:math id="M214" display="inline"><mml:mn mathvariant="normal">3.75</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mn mathvariant="normal">1.33</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M218" display="inline"><mml:mn mathvariant="normal">0.19</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M219" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M220" display="inline"><mml:mn mathvariant="normal">0.09</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Furthermore, average concentrations of OC were consistently higher than EC at both sites. OC, WSOC and SOC exhibited notable seasonal variations (Fig. 7), and their average concentrations were all higher in winter compared to summer. Overall, OC levels in winter were twice as high as in summer at both CB and BN. EC in winter were 7 times higher at CB but only 1.4 times higher at BN compared to that in summer. Elevated EC levels in winter suggested a higher influence of fossil fuel combustion. Moreover, the higher loads of OC in contrast to EC in winter and summer at both sites implied that secondary OC formation and/or increased emissions from coal combustion and biomass burning were significant. The average concentration of SOC at CB in winter (<inline-formula><mml:math id="M222" display="inline"><mml:mn mathvariant="normal">2.36</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mn mathvariant="normal">1.28</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was twice as high as in summer (<inline-formula><mml:math id="M226" display="inline"><mml:mn mathvariant="normal">1.16</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mn mathvariant="normal">0.60</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In addition, the average concentration of WSOC was <inline-formula><mml:math id="M230" display="inline"><mml:mn mathvariant="normal">1.46</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M232" display="inline"><mml:mn mathvariant="normal">1.00</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB and <inline-formula><mml:math id="M234" display="inline"><mml:mn mathvariant="normal">2.16</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mn mathvariant="normal">1.03</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at BN. BN exhibited a higher level of WSOC, suggesting that there might be higher emissions and/or more secondary formation occurred under conditions of greater oxidant abundance at BN than at CB. Furthermore, the temporal variations of OC, WIOC, SOC, and WSOC exhibited comparable trends, suggesting a common or similar source origin and potentially similar formation processes at CB and BN.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3587">Temporal variations in the concentrations of OC, EC, WSOC, and SOC in PM<sub>2.5</sub> collected from CB and BN, China during 2023–2024.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f07.png"/>

          </fig>

      <p id="d2e3605">The concentrations of OC, SOC and WSOC were higher during the daytime than at nighttime at CB and BN (Fig. 8). The intense sunlight and high temperatures prevalent in the local region might have facilitated the enhanced formation of SOC during the summer. However, EC displayed no significant diurnal variation at CB. As shown in Fig. 7, OC, SOC and WSOC at CB in winter showed similar diurnal trends, suggesting that they could share similar/same origins and formation processes. Elevated concentrations of carbonaceous components at CB on 31 December 2023 was observed, which could be attributed to local fireworks and firecracker celebrations in advance of the New Year's Eve. We also noticed an increase in the concentrations of OC, SOC, and WSOC in the daytime on 30 July and 25 July 2023 at BN, which might be related to local biomass burning events.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3611">Diurnal variations in carbonaceous components in summer and winter forest aerosol samples collected from CB and BN, China during 2023–2024. The black, red and blue squares represent the average concentrations of total (T), daytime (D) and nighttime (N).</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f08.png"/>

          </fig>

      <p id="d2e3620">Figure 9 illustrates the seasonal and annual variations in <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of CB and BN aerosols. The annual <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> variability in PM<sub>2.5</sub> ranged from <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰, (avg. <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M245" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M246" display="inline"><mml:mn mathvariant="normal">1.5</mml:mn></mml:math></inline-formula> ‰) at CB, while <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (avg. <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M251" display="inline"><mml:mn mathvariant="normal">0.9</mml:mn></mml:math></inline-formula> ‰) at BN during the campaign. Overall, the <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at CB was more positive than that at BN. Compared with winter, the <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in summer were much lower, whose values ranged from <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (avg. <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M258" display="inline"><mml:mn mathvariant="normal">0.5</mml:mn></mml:math></inline-formula> ‰) at CB, and from <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (avg. <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M262" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mn mathvariant="normal">0.4</mml:mn></mml:math></inline-formula> ‰) at BN.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3886">Seasonal and diurnal variations of <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> collected form CB and BN during the campaign. The S and W represent summer and winter, respectively.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f09.png"/>

          </fig>

      <p id="d2e3913">The diurnal variation of <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the aerosols of CB and BN was not very significant, except for a slight difference in winter at CB and in summer at BN, where the average values were <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mn mathvariant="normal">1.0</mml:mn></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M271" display="inline"><mml:mn mathvariant="normal">0.3</mml:mn></mml:math></inline-formula> ‰ at the daytime, <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M274" display="inline"><mml:mn mathvariant="normal">1.2</mml:mn></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M276" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M277" display="inline"><mml:mn mathvariant="normal">0.3</mml:mn></mml:math></inline-formula> ‰ at the nighttime, respectively. Their values were more positive at the nighttime. This might be associated with stronger plant emissions/biological activity during the daytime, and higher humidity and lower temperatures at nighttime that favored gas-to-particle transformation of organic compounds (Ren et al., 2019).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Implications for PM<sub>2.5</sub> sources</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Origins of inorganic ions</title>
      <p id="d2e4058">Characterization of the ionic components of aerosols from primary sources can reflect the changing characteristics of the emission sources. nss-<inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> serves as a tracer for emissions from biomass combustion, <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is associated with emissions from combustion activities (coal and straw burning, etc.). However, the lower concentration of particulate <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in summer may be attributed to the formation of gaseous HCl, which is volatile under high-temperature and high-humidity conditions and could escape from aerosols. The results were comparable to previously reported levels at Mt. Changbai (avg. 0.02 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and Mt. Dinghu (avg. 0.02 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Li et al., 2010).The contributions of nss-<inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and nss-<inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to the total <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations were on average 87 % (summer: 78 %; winter: 96 %) and 85 % (summer: 76 %; winter: 94 %) in BN, 92 % (summer: 95 %; winter: 88 %) and 76 % (summer: 69 %; winter: 83 %) at CB, indicating a predominant influence of anthropogenic sources over marine sources, especially in winter. Since the anthropogenic sources at CB contributed more to the ions in PM<sub>2.5</sub>, the concentration of total ions at CB was consistently higher than that at BN in both seasons, with the annual average of total ion concentration at CB being approximately 2.63 times to that at BN. There were significant correlations among <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at CB (Fig. 10), implying a common origin and analogous oxidation processes. The positive correlation between nss-<inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula>) implied that they were predominantly influenced by biomass burning.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e4316">Correlation heatmap of Pearson correlation coefficients of water-soluble ions.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f10.png"/>

          </fig>

      <p id="d2e4325">The concentrations of secondary inorganic ions are mainly associated with the content of their gaseous precursors (<inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the chemical reactions then undergo in the atmosphere, as well as meteorological conditions. The precursor of <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> primarily originates from vehicle exhaust emissions, while the precursor of <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> mainly stems from coal combustion emissions from industries, residential life, and other sources. Thus, the mass ratio of <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> can evaluate the influence of mobile and stationary sources on atmospheric aerosols. The concentrations of <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were significantly low in summer at CB and BN, implying negligible contributions from motor vehicle emissions. However, the <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB in winter (<inline-formula><mml:math id="M305" display="inline"><mml:mn mathvariant="normal">0.79</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M306" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M307" display="inline"><mml:mn mathvariant="normal">0.39</mml:mn></mml:math></inline-formula>) was approximately 26 times that in summer (<inline-formula><mml:math id="M308" display="inline"><mml:mn mathvariant="normal">0.03</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M309" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mn mathvariant="normal">0.02</mml:mn></mml:math></inline-formula>), indicating a notable rise in the contribution of mobile sources during winter. Annual average temperature of BN was about 20 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with a relatively large volatilization of <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, leading to a lower <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> value (avg. <inline-formula><mml:math id="M314" display="inline"><mml:mn mathvariant="normal">0.08</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M315" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M316" display="inline"><mml:mn mathvariant="normal">0.08</mml:mn></mml:math></inline-formula>).</p>
      <p id="d2e4573">The molar ratio of <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in aerosols can be used to determine the acidity of aerosols and the combination form of the main secondary inorganic ions (Pathak et al., 2004; Lyu et al., 2015). When <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, the aerosols are almost completely neutralized although ammonium nitrate (<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is present. If <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, the concentration of free acid in the particulate phase is relatively high, and there is almost no <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> present. The average ratio of <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at CB was 1.74 (summer: 0.97; winter: 2.54), whereas that at BN was 0.84 (summer: 0.44; winter: 1.25), suggesting an excess of ammonium existed in the aerosols at both sites, and nearly no <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was present at BN. In fact, the concentrations of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were extremely low at both sites in summer, so the main form of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> were <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</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:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This resulted from elevated summer temperatures enhancing the breakdown of particulate <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into gaseous <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was strongly correlated with <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> at both sites, particularly in winter, which further demonstrates that <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</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:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were their primary forms. However, a favorable correlation existed between  <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and  <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at CB, and the fitting slope of ammonium and <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></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:math></inline-formula> in winter was greater than 1 (Fig. 11), indicating that there was an adequate amount of <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the atmosphere to undergo neutralization reactions with <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, thereby forming ammonium <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</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:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e5079">Linear correlations of secondary ions in PM<sub>2.5</sub> collected from CB and BN during the campaign period (2023–2024).</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f11.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Origins of carbonaceous components</title>
      <p id="d2e5105">The variation in the correlation coefficient between OC and EC was primarily affected by pollutant sources, meteorological conditions and seasonal changes. A good correlation between OC and EC suggested a single emission source, whereas a weak correlation indicated a more complex emission source. Consequently, investigating the correlation between OC and EC across different seasons can help infer the sources of carbonaceous aerosols. There were moderate correlations between OC and EC during winter at CB (<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula>) and BN (<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.67</mml:mn></mml:mrow></mml:math></inline-formula>), but weak correlations in summer at both sites (Fig. 12). This implied that OC and EC likely shared similar sources in winter but diverged in summer.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e5140">Correlations of certain carbonaceous components in PM<sub>2.5</sub> collected from CB and BN, China during 2023–2024.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f12.png"/>

          </fig>

      <p id="d2e5158">Research indicates that in the regression equation <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mtext>OC</mml:mtext><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mtext>EC</mml:mtext><mml:mo>+</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:math></inline-formula>, the term “<inline-formula><mml:math id="M349" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>EC” reflects primary OC emissions from combustion sources (e.g., coal and traffic), while “<inline-formula><mml:math id="M350" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>” represents OC from non-combustion sources (Cao et al., 2007). The value of <inline-formula><mml:math id="M351" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> at CB and BN were notably higher in winter in contrast to that in summer, implying a prominent contribution from combustion-related emissions during the winter season. The higher <inline-formula><mml:math id="M352" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value at BN in summer, implying that the impact of non-combustion source emissions was greater in summer than in winter.</p>
      <p id="d2e5208">The OC <inline-formula><mml:math id="M353" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC ratios differ among various pollution sources, so the OC <inline-formula><mml:math id="M354" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC is useful for identifying the sources and emission characteristics of carbonaceous components in PM<sub>2.5</sub>. When the <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mtext>OC</mml:mtext><mml:mo>/</mml:mo><mml:mtext>EC</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula>, it can be inferred that the secondary formation of OC is likely present (Chow et al., 2007). Studies have shown that OC <inline-formula><mml:math id="M357" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC ratios ranging from 1.0 to 4.2 indicate traffic sources, with approximately 0.8 for heavy diesel vehicles and 2.2 for light gasoline vehicles; ratios of 2.5 to 10.5 imply coal combustion; ratios of 16.8 to 40 indicate biomass burning (Schauer et al., 1999; Chen et al., 2005). Average OC <inline-formula><mml:math id="M358" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC ratios were <inline-formula><mml:math id="M359" display="inline"><mml:mn mathvariant="normal">26.92</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M360" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M361" display="inline"><mml:mn mathvariant="normal">16.42</mml:mn></mml:math></inline-formula> at CB and <inline-formula><mml:math id="M362" display="inline"><mml:mn mathvariant="normal">22.90</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M363" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M364" display="inline"><mml:mn mathvariant="normal">9.78</mml:mn></mml:math></inline-formula> at BN, which closely matched the values reported for biomass burning emissions. Table 1 showed the concentrations of OC and EC in PM<sub>2.5</sub> at urban and forest sites. It was not difficult to find that OC <inline-formula><mml:math id="M366" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC at forest sites was considerably higher than that at urban sites. The average OC <inline-formula><mml:math id="M367" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC were 13.5 and 11.5, significantly exceeding 2.0, indicating substantial SOA formation, with higher ratios observed in summer. The elevated OC levels in summer likely resulted from the typically higher temperatures and stronger solar radiation promoted the active life activities in forest areas, which favored the emission of VOCs and thus promote the occurrence of photochemical reactions.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e5334">Comparison of mass concentrations of OC, EC (<inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and OC <inline-formula><mml:math id="M369" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC for forest aerosols over the world.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">City/nation</oasis:entry>

         <oasis:entry colname="col2">Samling period</oasis:entry>

         <oasis:entry colname="col3">OC</oasis:entry>

         <oasis:entry colname="col4">EC</oasis:entry>

         <oasis:entry colname="col5">OC <inline-formula><mml:math id="M370" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC</oasis:entry>

         <oasis:entry colname="col6">Reference</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">Look Rock, US</oasis:entry>

         <oasis:entry colname="col2">30 Jun–14 Aug 2001</oasis:entry>

         <oasis:entry colname="col3">5.6</oasis:entry>

         <oasis:entry colname="col4">0.66</oasis:entry>

         <oasis:entry colname="col5">8.5</oasis:entry>

         <oasis:entry colname="col6">Tanner et al. (2004)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Duke Forest, US</oasis:entry>

         <oasis:entry colname="col2">10–23 Jul 2003</oasis:entry>

         <oasis:entry colname="col3">3.2</oasis:entry>

         <oasis:entry colname="col4">0.2</oasis:entry>

         <oasis:entry colname="col5">16</oasis:entry>

         <oasis:entry colname="col6">Bhat and Fraser (2007)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">K-pusta, Hungary</oasis:entry>

         <oasis:entry colname="col2">4 Jun–10 Jul 2003</oasis:entry>

         <oasis:entry colname="col3">4.00</oasis:entry>

         <oasis:entry colname="col4">0.21</oasis:entry>

         <oasis:entry colname="col5">19</oasis:entry>

         <oasis:entry colname="col6">Kourtchev et al. (2009)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Changbai Mountain, China</oasis:entry>

         <oasis:entry colname="col2">Jul 2007</oasis:entry>

         <oasis:entry colname="col3">4.9</oasis:entry>

         <oasis:entry colname="col4">0.5</oasis:entry>

         <oasis:entry colname="col5">9.8</oasis:entry>

         <oasis:entry colname="col6" morerows="3">Li et al. (2010)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Chongming Island, China</oasis:entry>

         <oasis:entry colname="col2">Jun 2006</oasis:entry>

         <oasis:entry colname="col3">9.9</oasis:entry>

         <oasis:entry colname="col4">1.6</oasis:entry>

         <oasis:entry colname="col5">6.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Dinghu Mountain, China</oasis:entry>

         <oasis:entry colname="col2">Aug 2006</oasis:entry>

         <oasis:entry colname="col3">5.3</oasis:entry>

         <oasis:entry colname="col4">0.7</oasis:entry>

         <oasis:entry colname="col5">7.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Jiangfengling, Hainan, China</oasis:entry>

         <oasis:entry colname="col2">Nov 2007</oasis:entry>

         <oasis:entry colname="col3">2.4</oasis:entry>

         <oasis:entry colname="col4">0.2</oasis:entry>

         <oasis:entry colname="col5">12</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Hyytiälä, Finland</oasis:entry>

         <oasis:entry colname="col2">Jun–Aug 2007</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">12</oasis:entry>

         <oasis:entry colname="col6" morerows="1">Aurela et al. (2011)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Dec 2007–Jan 2008</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">5.42</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Mt. Hua, China</oasis:entry>

         <oasis:entry colname="col2">Jan 2009</oasis:entry>

         <oasis:entry colname="col3" morerows="1"><inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5" morerows="1">7.5</oasis:entry>

         <oasis:entry colname="col6" morerows="1">Meng et al. (2014)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Jul–Aug 2009</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Baimaquan, China</oasis:entry>

         <oasis:entry colname="col2">18–30 Jul 2010</oasis:entry>

         <oasis:entry colname="col3">15.86</oasis:entry>

         <oasis:entry colname="col4">1.75</oasis:entry>

         <oasis:entry colname="col5">9.1</oasis:entry>

         <oasis:entry colname="col6" morerows="3">Mo et al. (2015)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Panzhihua, China</oasis:entry>

         <oasis:entry colname="col2">18–30 Jul 2010</oasis:entry>

         <oasis:entry colname="col3">20.81</oasis:entry>

         <oasis:entry colname="col4">5.97</oasis:entry>

         <oasis:entry colname="col5">3.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Gongga Mountain, China</oasis:entry>

         <oasis:entry colname="col2">17–31 Jul 2011</oasis:entry>

         <oasis:entry colname="col3">3.11</oasis:entry>

         <oasis:entry colname="col4">0.42</oasis:entry>

         <oasis:entry colname="col5">7.4</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Wolong, China</oasis:entry>

         <oasis:entry colname="col2">16 Jul–2 Aug 2012</oasis:entry>

         <oasis:entry colname="col3">9.33</oasis:entry>

         <oasis:entry colname="col4">1.42</oasis:entry>

         <oasis:entry colname="col5">6.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Mt. Wuyi, China</oasis:entry>

         <oasis:entry colname="col2" morerows="1">2014–2015</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.48</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">3.22</oasis:entry>

         <oasis:entry colname="col6" morerows="1">Ren et al. (2019)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.69</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">5.26</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Olympic Forest Park, China</oasis:entry>

         <oasis:entry colname="col2">2014 winter</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mn mathvariant="normal">49.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.82</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.07</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">6.29</oasis:entry>

         <oasis:entry colname="col6">Chen et al. (2020)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">CB, China</oasis:entry>

         <oasis:entry colname="col2" morerows="1">2023–2024</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.73</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.72</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mn mathvariant="normal">26.92</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16.42</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6" morerows="1">This study</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">BN, China</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.33</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.90</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.78</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5975">WSOC can be derived directly from biomass burning or form through atmospheric oxidation of VOCs (Schnelle-Kreis et al., 2007; Tang et al., 2020). When biomass burning influence is minimal, the WSOC <inline-formula><mml:math id="M389" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC is regarded as an indicator of photochemical aging during long-range atmospheric transport. The average WSOC <inline-formula><mml:math id="M390" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC was <inline-formula><mml:math id="M391" display="inline"><mml:mn mathvariant="normal">0.51</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M392" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M393" display="inline"><mml:mn mathvariant="normal">0.09</mml:mn></mml:math></inline-formula> at CB and <inline-formula><mml:math id="M394" display="inline"><mml:mn mathvariant="normal">0.61</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M395" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M396" display="inline"><mml:mn mathvariant="normal">0.11</mml:mn></mml:math></inline-formula> at BN. These results suggested that WSOC constituted a significant fraction of OC. Their range and average at CB and BN (Table S1) were comparable to those reported at urban sites, Tianjin, China (range 0.37–0.84, avg. 0.63) (Wang et al., 2018), Chennai, India (range 0.23–0.6; avg. 0.45) (Pavuluri et al., 2011a), Mt. Tai, China (0.55) (Fu et al., 2012), Gwangju, Korera (range 0.26–0.73, average 0.52) (Cho and Park, 2013) and Chengdu, China (avg. 0.50) (Tao et al., 2013), where biomass burning was regarded as the primary aerosol source, undergoing aging. In fact, during summer, higher temperatures and stronger solar radiation result in more vigorous plant activity in forest areas, leading to increased emissions of VOCs. Consequently, high WSOC <inline-formula><mml:math id="M397" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC at both sites during summer were likely driven by SOA formation, linked to increased <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels, solar radiation, and VOC emissions (Xiang et al., 2017). A strong correlation between WSOC and OC was found at CB (<inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.84</mml:mn></mml:mrow></mml:math></inline-formula>, summer; <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.83</mml:mn></mml:mrow></mml:math></inline-formula>, winter) and BN (<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.77</mml:mn></mml:mrow></mml:math></inline-formula>, summer; <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>, winter), indicating that WSOC and OC share similar sources across different seasons.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e6116">Temporal variations of OC <inline-formula><mml:math id="M403" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> EC, WSOC <inline-formula><mml:math id="M404" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC and SOC <inline-formula><mml:math id="M405" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC in PM<sub>2.5</sub> collected from CB and BN, China during 2023–2024.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/5329/2025/bg-22-5329-2025-f13.png"/>

          </fig>

      <p id="d2e6155">SOC at CB and BN accounted for 65.2 % and 38.4 % of OC, respectively, and its proportions were higher in summer. The elevated SOC levels in summer likely resulted from increased atmospheric photochemical oxidation. The low SOC <inline-formula><mml:math id="M407" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC ratio (0.15) indicated that in winter at BN, the OC was mainly directly driven by local primary emissions (e.g., biomass burning, coal burning, and transportation), rather than by photochemical secondary transformation. The backward trajectory of the air mass in winter at BN further confirms that. However, SOC <inline-formula><mml:math id="M408" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC at CB (0.57) in winter was about four times that at BN. It has been shown that biomass burning significantly increases emissions of both primary and secondary aerosols (Fu et al., 2012; Zheng et al., 2018). Specifically, these activities can enhance the formation of SOA by increasing emissions of compounds such as monoterpenes and through the action of the resultant <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Thus, the high SOC <inline-formula><mml:math id="M411" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC at CB during winter might be linked to the effective promotion of secondary aerosol formation by burning wood for heating. Furthermore, the daytime and nighttime samples collected at CB in winter exhibited diurnal variations in SOC concentrations, further confirming the significant contributions of local anthropogenic emissions and photochemical oxidation.</p>
      <p id="d2e6202">The WIOC fraction in the samples likely contains substantial quantities of partially combusted biogenic residues. It was noteworthy that SOC exhibited a moderate correlation with WIOC at CB (<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.69</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula>), but showed no correlation at BN (<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 12). This implied that the source of WIOC and SOC might be similar at CB, with a significant portion of SOC being water-insoluble, while primary emissions contributed substantially at BN. The average WIOC<inline-formula><mml:math id="M416" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>OC ratios at CB (summer: 0.43; winter: 0.47) and BN (summer: 0.50; winter: 0.39) were comparable to that (0.55) reported in Chennai, India, which were regarded as predominantly originating from biomass burning and undergoing aging during long-range transport (Pavuluri et al., 2011a).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Impact of biomass burning based on <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e6298">The aerosol particles released by plants (primary biological aerosols) exhibit a broad range: C<sub>3</sub> plants emit particles with <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values ranging from <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and C<sub>4</sub> plants (e.g., corn, sugarcane) have <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> values in the range of <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Das et al., 2010; Jung and Kawamura, 2011; Mašalaitė et al., 2024). The values of <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in summer (CB: <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰; BN: <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰) were significantly more negative than those in winter (CB: <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰; BN: <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰). This is primarily attributed to the vigorous metabolism of C<sub>3</sub> plants under high-temperature and high-humidity summer conditions. The Calvin cycle in plants preferentially fixes <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, resulting in <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>-enriched volatile organic compounds (VOCs) such as isoprene and monoterpenes that are emitted (Hubick and Farquhar, 1989; Hobbie and Werner, 2004). In contrast, during winter, vegetation activity declines, and anthropogenic sources (e.g., coal combustion and biomass burning) contribute more, thereby elevating the overall isotopic ratio (Singh et al., 2018).</p>
      <p id="d2e6520">The  <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> observed at CB and BN during summer were comparable to those reported for aerosols in Singapore, Indonesia (<inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and Delhi, India (<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰), where it was clearly indicated that the emissions from the burning of C<sub>3</sub> plants were the primary source of aerosols (Narukawa et al., 1999; Agarwal et al., 2024). The <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> value of aerosol derived from fossil fuel combustion was significantly higher compared to those originating from biomass burning. Moreover, Boreddy et al. (2018) had observed depletion of <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in aerosols linked to increased contributions from C<sub>3</sub> plant burning in Southeast Aisa and reported that photochemical aging of aerosols could have led to an increase in <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (Boreddy et al., 2018). The <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at CB (avg. <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M452" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M453" display="inline"><mml:mn mathvariant="normal">1.1</mml:mn></mml:math></inline-formula> ‰) and ranged from <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at BN (avg. <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <inline-formula><mml:math id="M457" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M458" display="inline"><mml:mn mathvariant="normal">0.4</mml:mn></mml:math></inline-formula> ‰) in winter could be linked to the consumption of fossil fuels for heating and the aging of aerosols transported from continental and marine regions.</p>
      <p id="d2e6753">In addition, special events can also significantly affect the value of <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. On the Chinese New Year's Eve in winter at CB, significant firework – setting events were observed, resulting in a less negative <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> value on that day compared to the regular winter level (<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ vs. <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰). The high temperature during the combustion of fireworks may cause the preferential volatilization of <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, leading to the enrichment of <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the remaining particulate matter. The non – biogenic carbon from additives in fireworks may further increase the isotope ratio. Moreover, fossil fuel sources such as traffic emissions and coal – burning activities on New Year's Eve may also contribute to the isotope signal (Aguilera and Whigham, 2018).</p>
      <p id="d2e6842">However, no significant correlations were found between WSOC <inline-formula><mml:math id="M466" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC and <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for the biomass burning aerosols, suggesting that OA at CB and BN were mostly derived from primary emissions (Cao et al., 2016). It has shown that the average values of <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the remote marine aerosols ranged from <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Kawamura et al., 2017; Verwega et al., 2021). In this research, the <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged from <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at CB and from <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ at BN, indicating that the contribution of marine aerosols during the campaign was relatively small. The values of <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in CB and BN aerosols might be the result of multiple sources' contribution, such as fossil fuel combustion (coal, natural gas and petroleum) (<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> ‰), marine phytoplankton (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and C<sub>3</sub> plants biomass burning (<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26</mml:mn></mml:mrow></mml:math></inline-formula> ‰) (Singh et al., 2018). The concentration of <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at CB increased in winter, so the elevated values of <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were likely related to fossil fuel burning for heating. Therefore, fossil fuel combustion and C<sub>3</sub> plant biomass burning are identified as primary sources, while also being slightly influenced by air masses transported from the ocean during the summer.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e7124">Day- and night-time PM<sub>2.5</sub> samples (<inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula>) were collected at two typical forest areas in North and South China. Their carbonaceous, nitrogenous, WSII components and <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> have been measured. The concentrations of carbonaceous and nitrogenous components displayed a distinct seasonal trend, higher in winter and lower in summer. In addition, the OC, SOC and WSOC showed diurnal variations in which their concentrations were higher during daytime than nighttime. The relationships and mass ratios of carbonaceous components indicated that the PM<sub>2.5</sub> at CB and BN were dominantly from biomass burning and photochemical reactions of VOCs. We also found significant deficiencies of anions in aerosols from CB and BN. Moreover, correlations between nss-<inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and secondary ions suggested that the aerosols at two forest sites were affected by biomass burning and the primary source emissions were more important. The values of <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext>TC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reaffirmed that biomass burning was the primary source of PM<sub>2.5</sub> at two sites, while they were also influenced by fossil fuel burning during winter, especially at CB, and additionally by slight oceanic air masses. Regarding the anion deficiency phenomenon found in the aerosols at the two sites in this study, we will conduct further analysis in combination with organic acids in the subsequent research to better indicate the sources and composition characteristics of aerosols in forest regions.</p>
</sec>

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

      <p id="d2e7218">All data supporting the findings of this study are available upon reasonable request from the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e7221">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-22-5329-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-22-5329-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7230">ML and ZX: Conceptualization, Investigation, Methodology, Writing – original draft. ZD: Investigation, Writing – review and editing; JD: Writing – review and editing. PF: Writing – review and editing. CMP: Funding acquisition, Writing – review and editing. ZX: Project administration, Funding acquisition, Supervision, Writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7236">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7242">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Also, please note that this paper has not received English language copy-editing. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7248">This study is supported by the National Natural Science Foundation of China (nos. 42277090 and 42202199). We appreciate Rui Liu and Jin Liu for their assistance in the field investigation. We also extend our gratitude to Pierre Amato and the two anonymous reviewers for their valuable suggestions and constructive comments, which significantly enhanced the quality of this work.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7253">This research has been supported by the National Natural Science Foundation of China (grant nos. 42277090 and 42202199).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7259">This paper was edited by Pierre Amato and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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