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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-25-14513-2025</article-id><title-group><article-title>Vertical and seasonal variations in airborne  endotoxins in a coastal megacity of North China: insights from 3-hydroxy fatty acids</article-title><alt-title>Airborne endotoxins in a coastal megacity of North China</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Wenxin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Hu</surname><given-names>Wei</given-names></name>
          <email>huwei@tju.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-0416-1130</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Niu</surname><given-names>Mutong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zhu</surname><given-names>Quanfei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>An</surname><given-names>Na</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Qiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jin</surname><given-names>Rui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fu</surname><given-names>Xiaoli</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Hao</surname><given-names>Jian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Yang</surname><given-names>Jianbo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Liu</surname><given-names>Jingle</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Shi</surname><given-names>Jing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Han</surname><given-names>Suqin</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>Wu</surname><given-names>Libin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Feng</surname><given-names>Yuqi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Kawamura</surname><given-names>Kimitaka</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff8">
          <name><surname>Fu</surname><given-names>Pingqing</given-names></name>
          <email>fupingqing@tju.edu.cn</email>
        <ext-link>https://orcid.org/0000-0001-6249-2280</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>
        <aff id="aff2"><label>2</label><institution>Tianjin Bohai Rim Coastal Earth Critical Zone National Observation and Research Station,  Tianjin University, Tianjin 300072, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Bioengineering and Health, Wuhan Textile University, Wuhan 430072, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Tianjin Institute of Meteorological Science, Tianjin 300074, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Tianjin Meteorological Radar Research and Test Centre, Tianjin 300061, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Tianjin Environmental Meteorological Center, Tianjin 300074, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Chubu Institute for Advanced Studies, Chubu University, Kasugai, Aichi 487-8501, Japan</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Tianjin Key Laboratory of Earth Critical Zone Science and Sustainable Development in Bohai Rim,  Tianjin University, Tianjin 300072, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Wei Hu (huwei@tju.edu.cn) and Pingqing Fu (fupingqing@tju.edu.cn)</corresp></author-notes><pub-date><day>4</day><month>November</month><year>2025</year></pub-date>
      
      <volume>25</volume>
      <issue>21</issue>
      <fpage>14513</fpage><lpage>14533</lpage>
      <history>
        <date date-type="received"><day>15</day><month>May</month><year>2025</year></date>
           <date date-type="rev-request"><day>28</day><month>May</month><year>2025</year></date>
           <date date-type="rev-recd"><day>2</day><month>September</month><year>2025</year></date>
           <date date-type="accepted"><day>17</day><month>September</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Wenxin Zhang 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://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025.html">This article is available from https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e295">Endotoxins, integral components of Gram-negative bacteria, are released into the atmosphere during bacterial fragmentation and pose health risks. This study investigated 3-hydroxy fatty acids (3-OH-FAs, C<sub>8</sub>–C<sub>18</sub>) in inhalable particles (PM<sub>10</sub>) from urban Tianjin, a coastal megacity in northern China, to estimate endotoxin levels utilizing ultra-high-performance liquid chromatography mass spectrometry (UHPLC-MS). Results revealed seasonal and altitudinal variations in 3-OH-FAs and endotoxin levels. Total endotoxin concentrations averaged 21.5 ng m<sup>−3</sup> at near ground (2 m) and 16.1 ng m<sup>−3</sup> at a higher altitude (220 m), corresponding to total 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) concentrations of 2.8 and 2.0 ng m<sup>−3</sup>, respectively. Maximum endotoxin level (26.5 ng m<sup>−3</sup>) occurred near ground during winter, attributed to enhanced near-surface emissions. Bioactive endotoxins peaked at 12.4 ng m<sup>−3</sup> near ground in winter, exceeding the exposure threshold, while averaging 8.1 ng m<sup>−3</sup> in other seasons. Short- and mid-chain 3-OH-FAs (C<sub>8</sub>–C<sub>13</sub>) exhibited significant correlations with meteorological factors (e.g., temperature, humidity, and wind speed) at both altitudes, indicating regulation through microbial growth dynamics and photochemical processes. Long-chain homologues (C<sub>14</sub>–C<sub>18</sub>) were affected by both meteorological conditions and particulate pollutants (e.g., organic carbon, K<sup>+</sup>, Ca<sup>2+</sup>), reflecting mixed influences from natural sources (e.g., soils) and anthropogenic activities (e.g., combustion). These findings advance understanding of dynamic variations in airborne endotoxins within complex urban environments, providing critical data for assessing health risks associated with particulate pollution and informing urban air quality management strategies.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42130513</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="d2e483">Inhalable particles with aerodynamic diameters less than 10 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (PM<sub>10</sub>) may originate from both natural and anthropogenic sources (Yin et al., 2022; Xue et al., 2024), and could further result in various respiratory and cardiovascular diseases (Makkonen et al., 2010; Mukherjee and Agrawal, 2017). Among the biological components of PM<sub>10</sub>, endotoxins are of extreme importance due to strong chronic health effects (Mahapatra et al., 2018; Mueller-Anneling et al., 2004).</p>
      <p id="d2e512">Endotoxin, also known as lipopolysaccharide (LPS), is an integral component of the outer membrane of Gram-negative bacteria (GNB) (Rylander, 2002). An endotoxin contains three regions, consisting of a core polysaccharide, a long-chain polysaccharide, and a nonpolar lipid named lipid A, with lipid A being the most associated with toxicity (Schneier et al., 2020; Rylander, 2002; Spaan et al., 2006). Endotoxins may transport via adhering to the surface of fine inorganic particles (Zhang et al., 2024; Hwang et al., 2021). As a potent inflammagen, an endotoxin can cause fever, shaking chills, septic shock, toxic pneumonitis and respiratory symptoms, through inhalation, dermal and/or eye contact or ingestion (Rylander, 2002; Farokhi et al., 2018). LPS can be oxidized by ozone and the resulting reactant greatly enhanced inflammatory anemia (Liu et al., 2025). The health risks of endotoxins to humans have been investigated (Farokhi et al., 2018; Laboha et al., 2023; Liebers et al., 2008). Their harmful effects depend on both the composition of the inhaled particles and the degree and duration of exposure (Liebers et al., 2020; Lundin and Checkoway, 2009). The quantification and characterization of LPS in environmental samples are critical to understanding the biological effects of environmental endotoxin exposure (Park et al., 2004).</p>
      <p id="d2e515">Previous studies have investigated endotoxin levels in various environments, including occupational settings (Heederik and Douwes, 1997; Liebers et al., 2020, 2006), indoor environments (Amin et al., 2023; Gabriel et al., 2021; Phiri et al., 2023), and ambient aerosols and dust (Cheng et al., 2012; Hwang and Park, 2019; Lang-Yona et al., 2014; Hines et al., 2003; Park et al., 2000). Airborne endotoxin levels exhibited spatial and temporal variations, influenced by geographical location (Moretti et al., 2018), season (Makkonen et al., 2010; Hwang and Park, 2019), emission source (Mueller-Anneling et al., 2004; Mahapatra et al., 2018), meteorological condition (Guan et al., 2014; Rolph et al., 2018), and pollution level (Guo et al., 2018). These variations might reveal the potential sources, atmospheric processes, and the survival mechanisms of airborne microbes (Hu et al., 2020a). However, the factors influencing endotoxin levels are not fully understood (Hwang and Park, 2019; Mahapatra et al., 2018). To gain further clarity, outdoor sampling coupled with simultaneous monitoring of meteorological and air quality parameters is essential (Amin et al., 2023). Additionally, the sources of endotoxins in ambient environment, whether from long-range transport or local emissions, have yet to be definitively identified.</p>
      <p id="d2e518">Previous studies on endotoxins have primarily focused on occupational exposure and the health effects of excessive endotoxin exposure (Liebers et al., 2006; Amin et al., 2023). However, research on endotoxin levels in the ambient atmosphere remains limited. The vertical distribution, spatiotemporal patterns of airborne endotoxins in the urban boundary layer, and their possible influencing factors have yet to be reported.</p>
      <p id="d2e522">Multiple factors including sample types (personal or stationary), sampling method (active or passive), extraction procedure, and storage condition, can affect the determination of endotoxins (Liebers et al., 2020). One mainstream detection method of endotoxins is the <italic>Limulus</italic> amebocyte lysate (LAL) test (Rylander, 2002). This enzyme activation-based method provides direct information on bioactive endotoxins. Despite its sensitivity, the LAL test may still underestimate endotoxin levels, because many endotoxins, including bioactive ones, may remain concealed within the intact bacterial structure, making them unavailable to react with the <italic>Limulus</italic> enzymes (Mattsby-Baltzer et al., 1991). False-negative results may occur when endotoxins are masked by buffer constituents, product formulation, cell culture medium compositions, and surfactants (Schwarz et al., 2017; Schneier et al., 2020). Whilst, false-positive results can be caused by <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-1,3-glucan, which might as well trigger the enzymatic coagulation of the blood (Cheng et al., 2012; Uhlig et al., 2016).</p>
      <p id="d2e538">The alternative approach most commonly applied to detect endotoxins in environmental samples is to measure 3-hydroxy fatty acids (3-OH-FAs) with carbon chain lengths from 10 to 18 as endotoxin biomarkers utilizing chemical analytical methods such as gas chromatography-mass spectrometry (GC-MS) (Bikkina et al., 2021a; Cheng et al., 2012). In contrast to the LAL test, 3-OH-FAs measured by GC-MS do not reflect the biologically active endotoxin, but rather total concentration (Liebers et al., 2008). In addition, the sample pretreatment for GC-MS analysis with strong alkaline hydrolysis may result in 3-OH-FAs turning into unsaturated fatty acids while eliminating water during the derivatization process (trifluoracetamide) (Binding et al., 2004; Wollenweber and Rietschel, 1990). Liquid chromatography-mass spectrometry (LC-MS) with its high sensitivity and selectivity, and broad adaptability, is regarded as a powerful analytical tool for small molecules (Zhang et al., 2019; Paba et al., 2019). Recently, ultra-high-performance liquid chromatography mass spectrometry (UHPLC-MS) combined with isotope labeling has been used to effectively separate, identify and quantify positional isomers of hydroxy fatty acids, demonstrating exceptional accuracy and precision in complex environmental matrices including aerosols (Niu et al., 2024; Zhu et al., 2020).</p>
      <p id="d2e541">The coastal zone is a transition area between the ocean and the land, which is affected by natural continental processes (e.g., dust storms) and marine emissions, as well as intense human activities due to a large population. In addition, sea-land breeze is one of the most common circulations over coastal areas and has a great impact on the local meteorology and atmospheric environment (Xiao et al., 2023). These interactions make the atmospheric environment of coastal zones more complex, providing unique conditions for investigating the effects of local emissions and regional or long-distance transport on atmospheric environment. Meteorological tower-based studies complement ground-based observations (Yang et al., 2023), offering new insights into the formation, transformation, and transport of organic matter under different atmospheric environments (Lei et al., 2021). Comprehensive vertical measurements of the physical and chemical properties of aerosol particles in the lower boundary layer have been conducted to evaluate the roles of local emissions and regional and long-distance transport in air pollution (Fan et al., 2022; Li et al., 2022). However, the levels, sources, and health impacts of airborne endotoxins in coastal zones remain largely unknown.</p>
      <p id="d2e544">Herein, diurnal PM<sub>10</sub> samples were collected at two altitudes using a 255 m meteorological tower in urban Tianjin, the largest coastal megacity in North China, enabling the investigation of the vertical distribution of airborne endotoxins. The UHPLC-MS system, combined with isotope labeling, was applied for accurate determination of 3-OH-FAs (C<sub>8</sub>–C<sub>18</sub>) in PM<sub>10</sub>. The amounts of endotoxins and GNB dry mass in PM<sub>10</sub> were estimated using the concentrations of 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) according to previous studies (Bikkina et al., 2021a; Tyagi et al., 2015b, 2016). This study aims to provide: (1) the quantification and distribution patterns of the bacterial marker 3-OH-FAs in ambient PM<sub>10</sub> within the urban boundary layer in Tianjin; (2) insights into the vertical, seasonal and diurnal variations in airborne endotoxins, along with estimates of the bioactive portion of 3-OH-FAs and the mass loading of GNB for assessing the potential allergenic impact of airborne endotoxin levels, and (3) the preliminary identification of influencing factors of endotoxin levels, in combination with key environmental parameters, including meteorological and air quality data.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Samples collection</title>
      <p id="d2e635">Tianjin is a coastal megacity located in northeast part of the North China Plain (NCP), bordering the Bohai Sea in the east, leaning against the Yanshan Mountain in the north (Fig. S1 in the Supplement). It is 120 km from Beijing, the capital of China, in the northwest. The sampling was conducted by utilizing the 255 m meteorological tower at the Tianjin Atmospheric Boundary Layer Observatory of the China Meteorological Administration, located at the southern area of urban Tianjin. Two automatic high-volume aerosol samplers (DIGITEL DHA-80) were set at two floors in the meteorological tower, i.e., the near-ground (2 m) and a higher altitude (220 m), respectively. PM<sub>10</sub> samples were collected on pre-combusted (450 °C for 6 h) quartz fiber filter (<inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="normal">Φ</mml:mi></mml:math></inline-formula> 150 mm, Pall, USA) during the autumn (18–24 September) and winter (8–14 December) of 2020, and the spring (26–31 May) and summer (2–8 August) of 2021. After collection, the samples were stored at <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> °C in a freezer until analysis.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Samples pretreatment</title>
      <p id="d2e672">The extraction and detection methods of 3-OH-FAs are available in our previous study (Niu et al., 2024). Briefly, aliquots of aerosol samples (<inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="normal">Φ</mml:mi></mml:math></inline-formula> 28 mm) were cut and placed in a centrifuge tube, followed by adding 4 mL of ethyl acetate (EtOAc), 1 min of vortex, and 15 min of sonicating at room temperature. Then, 4 mL of Milli-Q water was added, and the resulting solution was vortexed for remixing. Centrifugation was performed for 5 min at 5000 rpm, and the supernatant was extracted afterward, and then dried under nitrogen. Subsequently, 100 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of acetonitrile (ACN) was added to the dried centrifuge tube and vortexed for 2 min, then derivatization reagents (10 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of 20 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol mL<sup>−1</sup> 2-chloro-1-methylpyridinium iodide (CMPI), 20 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of 20 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol mL<sup>−1</sup> triethylamine (TEA), and 20 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of 20 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol mL<sup>−1</sup> 2-dimethylaminoethylamine (DMED)) were added and vortexed for 2 min, and the mixture was incubated for 1 h at 40 °C and 1500 rpm, then dried under nitrogen. Milli-Q water and internal standards (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-DMED-labeled hydroxy fatty acid standard) (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula>) were added to each dried centrifuge tube, vortexed to redissolve, and then centrifuged for 5 min at 4 °C and 12 000 rpm to extract the supernatant. Details of the chemicals, reagents and method validation are described in Sect. S1 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>UHPLC-MS analysis</title>
      <p id="d2e819">The UHPLC-MS system comprised an ACQUITY UPLC I-Class LC from Waters (Milford, MA, USA) coupled with an AB SCIEX 6500<inline-formula><mml:math id="M47" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> triple quadrupole MS (Framingham, MA, USA). Separation of the target compounds was achieved using ACQUITY HPLC HSS T3 (1.8 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, 2.1 mm <inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 mm) column (Waters, Milford, MA, USA). The mobile phases consisted of solvent A (0.1 % formic acid in water) and solvent B (ACN), delivered at a flow rate of 0.4 mL min<sup>−1</sup>. The gradient program was set as follows: 0–3 min at 5 % B, 3–15 min from 22 % to 60 % B, 15–17 min at 60 % B, 17–24 min at 95 % B, 24–40 min at 5 % B. Mass spectrometric analysis was performed in positive ion mode using electrospray ionization (ESI) and operated in multiple reaction monitoring (MRM) mode. The ESI conditions were set as follows: curtain gas, 35 L min<sup>−1</sup>; collision gas, 8 L min<sup>−1</sup>; ion spray voltage, 5500 V; temperature, 500 °C; ion source gas 1, 50 L min<sup>−1</sup>; ion source gas 2, 45 L min<sup>−1</sup>. Data acquisition and quantification were conducted using SCIEX OS version 2.0.1 software. The mass concentrations of 3-OH-FAs (C<sub>8</sub>–C<sub>18</sub>) were quantified using internal standard method, employing <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-DMED-labeled 3-OH-FA standards as internal standards. The detailed analytical procedure is described in Niu et al. (2024).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Endotoxin and GNB dry mass estimation</title>
      <p id="d2e942">The amounts of endotoxins and GNB dry mass were estimated using the following formulas:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M58" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Endotoxin</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</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:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="1em"/><mml:mo movablelimits="false">∑</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:mtext>3-OH-FAs</mml:mtext><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mtext>–</mml:mtext><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</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:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>×</mml:mo><mml:mn mathvariant="normal">8000</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where 4 means each lipid A carries 4 mol 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) (Laitinen et al., 2001; Rietschel et al., 1984), while the multiplication factor 8000 represents the average molecular weight of endotoxins (Laitinen et al., 2001).

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M61" display="block"><mml:mrow><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mtext>GNB dry mass</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</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:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="1em"/><mml:mo movablelimits="false">∑</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mtext>3-OH-FAs</mml:mtext><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mtext>–</mml:mtext><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</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:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

          where 15 refers to the biomarker-to-microbial mass conversion factor of 15 nmol of 3-OH-FAs per mg dry cell weight (Lee et al., 2004; Balkwill et al., 1988).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Other measurements</title>
      <p id="d2e1172">The concentrations of organic carbon (OC) and elemental carbon (EC) were determined using a Thermal/Optical Carbon Analyzer (Model RT-4, Sunset Laboratory Inc.,  Oregon, USA). Analytical errors were controlled within <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % via a duplicate analysis of each filter. The concentrations of water-soluble organic carbon (WSOC) were measured using Total Organic Carbon (TOC) Analyzer (Shimadzu 5000A, Japan). Water-soluble inorganic anions and cations (Cl<sup>−</sup>, SO<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, Na<sup>+</sup>, NH<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, K<sup>+</sup>, Mg<sup>2+</sup>, Ca<sup>2+</sup>) were analyzed using an Ion Chromatography system (Dionex Aquion, Thermo Scientific, Waltham, MA, USA). Gradient meteorological parameters were continuously recorded by automatic weather stations installed on the 255 m high meteorological tower, while both gaseous and particulate pollutants were collected simultaneously at the ground platform.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Concentration-weighted trajectory (CWT) analysis</title>
      <p id="d2e1284">Concentration-weighted trajectories (CWTs) were calculated per hour, and starting height of 220 m, based on the 3 d (72 h) backward trajectories of air masses with the Hybrid Single Particle Lagrangian Integrated Trajectory (HYSPLIT) model (Stein et al., 2015) in conjunction with the measured concentrations of 3-OH-FAs as follows:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M71" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CWT</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>l</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>l</mml:mi></mml:msub><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M72" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> is the number of the trajectory; <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average concentration of 3-OH-FAs, and <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the number of trajectory endpoints that lie in the grid cell (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>). The CWT value indicates the potential distant sources impacting the sampling site. The analyses were performed for 1° <inline-formula><mml:math id="M76" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° grids covering the area encompassed by 20–80° N and 60–150° E. A weight function (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in Eq. (4) was applied in the CWT analysis to increase statistical stability, and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the number of trajectory endpoints that lie in the grid cell (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>).

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M80" display="block"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>elsewhere</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Positive matrix factorization (PMF)</title>
      <p id="d2e1544">Source apportionment of 3-OH-FAs was carried out with U.S. EPA PMF 5.0. PMF solves <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>≈</mml:mo><mml:mi mathvariant="bold">GF</mml:mi></mml:mrow></mml:math></inline-formula> by weighted least-squares minimization of:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M82" display="block"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>p</mml:mi></mml:msubsup><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M83" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> is the observed concentration matrix, <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> the corresponding uncertainty matrix, <inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> the factor-contribution matrix, and <inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="bold">F</mml:mi></mml:math></inline-formula> the factor-profile matrix (Paatero and Tapper, 1994; Bhandari et al., 2022). Uncertainties (<inline-formula><mml:math id="M87" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>) were calculated as recommended by the EPA guidance:</p>
      <p id="d2e1683">If the concentration is less than or equal to the species-specific method detection limit (MDL) provided, the uncertainty is calculated using a fixed fraction of the MDL (Eq. 6).</p>
      <p id="d2e1686">If the concentration is greater than the MDL provided, the calculation is based on a user provided fraction of the concentration and MDL (Eq. 7).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M88" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>x</mml:mi><mml:mo>≤</mml:mo><mml:mtext>MDL</mml:mtext><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mi mathvariant="normal">MDL</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>x</mml:mi><mml:mo>&gt;</mml:mo><mml:mtext>MDL</mml:mtext><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>u</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mroot><mml:mrow><mml:mo>(</mml:mo><mml:mtext>Error Fraction</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mtext>Concentration</mml:mtext><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mroot></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">MDL</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          An error fraction of 0.2 was adopted for most species; values up to 0.6 were assigned to constituents near the detection limit.</p>
      <p id="d2e1799">A total of 19 measured species in 87 samples were used, including bulk carbonaceous fractions (OC, EC), major inorganic ions (K<sup>+</sup>, Na<sup>+</sup>, Ca<sup>2+</sup>, Mg<sup>2+</sup>, NH<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, SO<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, Cl<sup>−</sup>) and nine 3-OH-FA homologues (C<sub>10</sub>–C<sub>18</sub>). Species selection followed three criteria: (1) Signal-to-noise ratio (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>) – species with <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> were excluded; <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> were down-weighted (“weak”) (Paatero and Hopke, 2003). Accordingly, C<sub>12</sub> 3-OH-FA was removed. (2) Goodness-of-fit (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) – after trial runs, variables with persistently low <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> between modelled and observed concentrations were discarded. (3) <inline-formula><mml:math id="M105" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> evaluation – models with 4–9 factors (<inline-formula><mml:math id="M106" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) were explored; the lowest <inline-formula><mml:math id="M107" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> value at five factors when moving from four to nine factors. The solution giving <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">true</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">exp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio closest to 1 was selected (Bhandari et al., 2022). The final configuration (five factors) yielded stable and physically interpretable profiles.</p>
</sec>
<sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Statistical analysis</title>
      <p id="d2e2041">Spearman rank analysis was conducted to evaluate the correlation between airborne endotoxins and air pollutants. Data were analyzed using unpaired <inline-formula><mml:math id="M109" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-tests, two-tailed for single comparisons. Graphs were generated using RStudio software version 2023.09.1<inline-formula><mml:math id="M110" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>494, R version 4.3.2 and Origin 2021. Mantel test was performed between 3-OH-FA homologues and those of meteorological/pollution variables using Spearman's correlation coefficient (Spearman's <inline-formula><mml:math id="M111" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) with 999 permutations, computed with the vegan package (v2.6-4) in R (v4.3.2). Significance was accepted at <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. Hierarchical-cluster analysis was performed via Ward's minimum-variance method on Euclidean distance using OriginPro. The distribution characteristics of 3-OH-FAs and airborne endotoxins were described in range (minimum–maximum) and arithmetic mean.</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>Molecular distribution of 3-hydroxy fatty acids</title>
      <p id="d2e2093">The molecular distribution of 3-OH-FAs with carbon numbers from 8 to 18 (C<sub>8</sub>–C<sub>18</sub>) is illustrated in Fig. 1. In terms of diurnal variations, the mass concentrations of most 3-OH-FAs were higher at night than during the daytime (Fig. 1a). This feature, observed predominantly at ground level may be partly due to the lower boundary layer height at night, which contributes to the accumulation of pollutants (Li et al., 2017; Qiu et al., 2019).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e2116">The vertical, diurnal and seasonal variations in molecular distribution of 3-OH-FAs (C<sub>8</sub>–C<sub>18</sub>). <bold>(a–b)</bold> The mean values (indicated by points) and standard deviations (error bars) of 3-OH-FAs concentrations. <bold>(c–d)</bold> The differences in 3-OH-FAs concentrations between 2 m and 220 m. The short lines indicate the mean values of the differences. The small figures in <bold>(c)</bold> and <bold>(d)</bold> are the enlarged view of species with low concentration differences (C<sub>8</sub>–C<sub>12</sub>). <sup>*</sup> The difference is significant (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f01.png"/>

        </fig>

      <p id="d2e2195">The molecular distribution of 3-OH-FAs also showed apparent seasonal variations (Fig. 1b). Even-carbon homologues (C<sub>16</sub>, C<sub>18</sub>) were predominant in all seasons, especially in winter, with average mass concentrations of 1355.2 <inline-formula><mml:math id="M123" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 737.6 pg m<sup>−3</sup> (C<sub>16</sub>) and 855.4 <inline-formula><mml:math id="M126" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 461.8 pg m<sup>−3</sup> (C<sub>18</sub>) at near ground, 882.6 <inline-formula><mml:math id="M129" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 523.2 pg m<sup>−3</sup> (C<sub>16</sub>) and 467.7 <inline-formula><mml:math id="M132" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 299.8 pg m<sup>−3</sup> (C<sub>18</sub>) at 220 m. C<sub>11</sub>, C<sub>13</sub>, and C<sub>15</sub> 3-OH-FAs were the predominant odd-carbon 3-OH-FAs, particularly in summer, with average mass concentrations of 367.4 <inline-formula><mml:math id="M138" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 70.5 pg m<sup>−3</sup> (C<sub>11</sub>), 412.7 <inline-formula><mml:math id="M141" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 126.6 pg m<sup>−3</sup> (C<sub>13</sub>), and 405.8 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 143.8 pg m<sup>−3</sup> (C<sub>15</sub>) at near ground, respectively. In terms of 3-OH-FAs with different carbon numbers, most 3-OH-FAs were more abundant at near ground, suggesting that these homologues were mainly influenced by near-surface emissions. In contrast, C<sub>9</sub> at 220 m remained higher than at 2 m in autumn and summer, regardless of diurnal changes (Fig. 1c, d). Other short-chain homologues (C<sub>8</sub>, C<sub>10</sub>, C<sub>11</sub>) also presented higher concentrations at 220 m during summer, indicating that they were possibly contributed by regional transport or photochemical oxidation processes (Lei et al., 2021).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2483">Seasonal concentration-weighted trajectory (CWT) maps for 3-OH-FAs measured at the Atmospheric Boundary Layer Observatory of Tianjin. This analysis is based on air mass backward trajectories during the observation periods.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f02.png"/>

        </fig>

      <p id="d2e2492">The result of concentration-weighted trajectory (CWT) analysis revealed that the mass concentration of 3-OH-FAs at 220 m was influenced by marine sources to varying extents in spring, autumn, and summer (Fig. 2). During autumn and winter, the major source areas were the Beijing-Tianjin-Hebei region, with transport pathways originating from the northwest of Tianjin, including Mongolia, Inner Mongolia and Beijing, before reaching the sampling site. In summer, predominant origin areas included Beijing-Tianjin-Hebei region, Heilongjiang province, and the Bohai Sea in the northeast. Photochemical oxidation of organic matter is prone to occur in summer due to high temperatures and intense solar radiation. The elevated concentrations of short-chain 3-OH-FAs (C<sub>8</sub>–C<sub>11</sub>) at 220 m may result from secondary transformation processes during long-range transport or photochemical oxidation of the local emissions. Bikkina et al. (2019) reported that photochemical oxidation of marine organic matter likely accounts for the predominance of odd-carbon and short-chain 3-OH-FAs in sea-spray aerosols.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Vertical-temporal patterns of airborne endotoxin levels</title>
      <p id="d2e2521">Total mass concentrations of endotoxins in PM<sub>10</sub> from urban Tianjin during 2020–2021 were estimated based on the measured 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) (Table 1, Fig. 3a). There was no obvious diurnal difference in total endotoxin levels (Fig. 3a). The endotoxin level was significantly higher (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) at 2 m than at 220 m during each season (Fig. 4a), indicating that endotoxin emissions were mainly dominated by near-ground sources. It was suggested that the majority of airborne endotoxins may originate from soils (Brooks et al., 2006), as aliphatic 3-OH-FAs (<inline-formula><mml:math id="M157" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> C<sub>20</sub>) originate from soil microorganisms (Zelles, 1999; Bikkina et al., 2021a). 3-OH-FAs are also detected in marine ultrafiltered dissolved organic matter (Wakeham et al., 2003), groundwater sediments and estuarine sediments (Parker et al., 1982). Marine source could also be a dominant contributor to elevated endotoxin levels in coastal areas. Lang-Yona et al. (2014) observed high endotoxins content correlated with cyanobacteria at a coastal site of the eastern Mediterranean Sea, assumed that higher wind speeds with low pressure system led to increased sea spray and the consequent primary aerosol emission. Therefore, the endotoxins at 220 m in urban Tianjin might originate from the vertical transport of ground emissions, long-range transport from northwest of Tianjin or from marine emissions (e.g., Bohai Sea) as depicted in CWT results (refer to Sect. 3.1).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2582">Time series of concentrations of total endotoxins <bold>(a)</bold>, particulate matter <bold>(b)</bold>, and gaseous pollutants <bold>(c, d)</bold> during the observation periods.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2602">Concentrations of total endotoxins and relative contributions of 3-OH-FAs in urban aerosols from Tianjin. <bold>(a)</bold> The vertical, diurnal and seasonal variations in mass concentrations of endotoxins. The horizontal dashed line denotes the seasonally averaged PM<sub>10</sub> endotoxin level. Seasonal <bold>(b)</bold> and diurnal <bold>(c)</bold> variations in the relative contributions of 3-OH-FAs with different carbon number to total endotoxins at different altitudes.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f04.png"/>

        </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2633">Seasonal variations in airborne endotoxin concentrations in PM<sub>10</sub> from urban Tianjin at different attitudes during 2020–2021.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="2.5cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="1.8cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="2.5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Sampling site</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="left">Group </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col6" align="center">Endotoxin concentration (ng m<sup>−3</sup>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left"/>
         <oasis:entry colname="col4">Average</oasis:entry>
         <oasis:entry colname="col5">Standard</oasis:entry>
         <oasis:entry colname="col6">Range</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">deviation</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Meteorological</oasis:entry>
         <oasis:entry colname="col2" align="left">Season</oasis:entry>
         <oasis:entry colname="col3" align="left">Autumn (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">12.8</oasis:entry>
         <oasis:entry colname="col5">2.9</oasis:entry>
         <oasis:entry colname="col6">7.1–18.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Tower (220 m)</oasis:entry>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left">Winter (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">16.8</oasis:entry>
         <oasis:entry colname="col5">8.6</oasis:entry>
         <oasis:entry colname="col6">4.5–33.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left">Spring (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">/</oasis:entry>
         <oasis:entry colname="col5">/</oasis:entry>
         <oasis:entry colname="col6">/</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left"/>
         <oasis:entry rowsep="1" colname="col3" align="left">Summer (<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">18.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">5.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">12.1–32.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Day/Night</oasis:entry>
         <oasis:entry colname="col3" align="left">Day (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">16.8</oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
         <oasis:entry colname="col6">4.5–33.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left"/>
         <oasis:entry rowsep="1" colname="col3" align="left">Night (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">15.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">6.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">4.9–32.7</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Total</oasis:entry>
         <oasis:entry colname="col3" align="left">SUM (<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">16.1</oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
         <oasis:entry colname="col6">4.5–33.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Near-ground</oasis:entry>
         <oasis:entry colname="col2" align="left">Season</oasis:entry>
         <oasis:entry colname="col3" align="left">Autumn (<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">20.5</oasis:entry>
         <oasis:entry colname="col5">5.2</oasis:entry>
         <oasis:entry colname="col6">13.9–30.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">(2 m)</oasis:entry>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left">Winter (<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">26.5</oasis:entry>
         <oasis:entry colname="col5">13.0</oasis:entry>
         <oasis:entry colname="col6">5.0–42.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3" align="left">Spring (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">14.0</oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
         <oasis:entry colname="col6">6.1–25.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left"/>
         <oasis:entry rowsep="1" colname="col3" align="left">Summer (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">23.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">6.1</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">16.1–39.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Day/Night</oasis:entry>
         <oasis:entry colname="col3" align="left">Day (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">19.7</oasis:entry>
         <oasis:entry colname="col5">9.8</oasis:entry>
         <oasis:entry colname="col6">5.0–41.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left"/>
         <oasis:entry rowsep="1" colname="col3" align="left">Night (<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">23.1</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">9.1</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">6.3–42.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Total</oasis:entry>
         <oasis:entry colname="col3" align="left">SUM (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">21.5</oasis:entry>
         <oasis:entry colname="col5">9.6</oasis:entry>
         <oasis:entry colname="col6">5.0–42.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3189">In the near-ground (2 m) air, the average endotoxin mass concentrations were the highest (26.5 <inline-formula><mml:math id="M176" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.0 ng m<sup>−3</sup>) in winter, followed by 23.7 <inline-formula><mml:math id="M178" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.1 ng m<sup>−3</sup> in summer, 20.5 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.1 ng m<sup>−3</sup> in fall, and the lowest 14.0 <inline-formula><mml:math id="M182" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.6 ng m<sup>−3</sup> in spring (Table 1, Fig. 4a). While at a higher altitude (220 m), the average endotoxin level was the highest in summer (18.3 <inline-formula><mml:math id="M184" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.3 ng m<sup>−3</sup>), followed by winter (16.8 <inline-formula><mml:math id="M186" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.7 ng m<sup>−3</sup>) and fall (12.8 <inline-formula><mml:math id="M188" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.9 ng m<sup>−3</sup>). The endotoxin concentration ratio between 220 and 2 m during summer was 0.8 <inline-formula><mml:math id="M190" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1, higher than those during autumn (0.6 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2) and winter (0.7 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2), suggesting an increased contribution of possible regional transport or photochemical oxidation processes during summer. Most airborne bacteria could not survive during long-range transport due to ultraviolet radiation, which further lead to photodegradation of proteinaceous matter and significant losses of microbial viability (Hu et al., 2021; Yin et al., 2021). LPS is then released into the air during cell death (Petsch and Anspach, 2000), cause the rising in higher endotoxin level. Moreover, the ratio of endotoxin concentrations measured at 220 and 2 m  was higher during the daytime (0.8 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1) than nighttime (0.6 <inline-formula><mml:math id="M194" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1). The average endotoxin mass concentration was slightly higher at night than during the daytime in spring, summer and autumn, but lower at night during winter (Fig. 4a). The increasing concentration of certain bacteria at night may also attribute to the diurnal changes in endotoxins. Hu et al. (2020b) observed richer operational taxonomic units per PM<sub>2.5</sub> sample in Hangzhou at night during spring, with higher relative abundance of <italic>Thermomicrobia</italic>, a Gram-negative bacterial class, generally distributed away from anthropogenic regions. Abdel Hameed et al. (2009) found the diurnal variations in number concentration of airborne bacteria peaked in the evening at Helwan, Egypt.</p>
      <p id="d2e3375">The relative contributions of different carbon-numbered 3-OH-FAs to total endotoxin mass concentrations in PM<sub>10</sub> of Tianjin presented seasonal and altitudinal variations (Fig. 4b). Overall, the even-carbon long-chain C<sub>16</sub> and C<sub>18</sub> 3-OH-FAs made up the largest proportion in all seasons, with higher relative contributions (46.5 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.1 %) to total endotoxins at near-ground level than at 220 m (39.7 <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.7 %), suggesting their local emissions. The relative contribution of the even-carbon C<sub>16</sub> and C<sub>18</sub> homologues were the highest in winter (56.0 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.9 % at near ground and 53.3 <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.1 % at 220 m), followed by autumn (49.1 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.4 %, 38.6 <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.2 %), and the lowest in summer (36.7 <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.4 %, 27.0 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.8 %). This finding is consistent with those obtained in suburban Tokyo (Bikkina et al., 2021a), Chichijima island (Bikkina et al., 2021b), and Jeju island (Tyagi et al., 2017), in which 3-OH-FAs were also characterized by a strong even-carbon predominance. Hydroxy fatty acids exhibiting a strong even-carbon preference are usually derived from biological pathways (Bikkina et al., 2019) or indicative of biogenic sources (Tyagi et al., 2015a), such as the lipid fractions of microorganisms (bacteria, algae, fungi, etc.) and vascular plant surface waxes (Kawamura et al., 2003; Simoneit et al., 2004).</p>
      <p id="d2e3481">However, in this study, the odd-carbon homologues (C<sub>11</sub>, C<sub>13</sub> and C<sub>15</sub>) accounts for 36.7 % and 41.9 % of total endotoxins at near ground and at 220 m, respectively. Their relative contribution was maximum in summer (45.0 % at near ground and 51.6 % at 220 m), followed by autumn (34.5 % at near ground and 41.4 % at 220 m), and the lowest in winter (30.2 % at near ground and 32.5 % at 220 m). Compared with remote islands dominated by natural emissions such as microorganisms and vegetation (Bikkina et al., 2021b; Tyagi et al., 2015a, 2017), the urban aerosols in Tianjin are largely affected by both anthropogenic emissions and secondary formation (Li et al., 2022). These odd-carbon 3-OH-FAs (C<sub>11</sub>, C<sub>13</sub> and C<sub>15</sub>) may originate from various sources, such as anthropogenic activities (e.g., fossil fuel combustion, biomass emissions), or from the photochemical oxidation of long-chain fatty acids or hydroxy fatty acids during atmospheric transport (Bikkina et al., 2019).</p>
      <p id="d2e3539">In addition, long-chain C<sub>16</sub>, C<sub>18</sub> and odd-carbon homologues (C<sub>11</sub>, C<sub>13</sub> and C<sub>15</sub>) 3-OH-FAs exhibited similar variation trend at the two heights. Long-chain C<sub>16</sub>, C<sub>18</sub> 3-OH-FAs contributed more at 2 m, while odd-carbon homologues (C<sub>11</sub>, C<sub>13</sub> and C<sub>15</sub>) 3-OH-FAs contributed more at 220 m, regardless of diurnal changes (Fig. 4c).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Comparison of the endotoxin level with literature results</title>
      <p id="d2e3641">The airborne endotoxin level at near-ground observed in Tianjin is compared with results in literatures (Fig. 5). Different sampling methods and endotoxin assay methodologies may affect the results of the endotoxin assessment (de Rooij et al., 2017). Herein only the endotoxin level in aerosol samples assessed by chemical analytical method with 3-OH-FAs as biomarkers are compared.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3646">Comparisons of average endotoxin concentrations in aerosols with various size ranges during different seasons. All data are estimated from 3-OH-FAs measured as biomarkers by chemical analytical method. The error bars are the standard derivations. Note: (1) 1990–1993; (2) 2001–2003; (3) total endotoxins in this study (at ground); (4) bioactive endotoxins in this study (at ground); (5) rural region, Hongkong University of Science and Technology; (6) urban region, Hongkong Science Museum; (7) urban region, Hong Kong. TSP, total suspended particle; DECOS, Dutch Expert Committee on Occupational Safety.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f05.png"/>

        </fig>

      <p id="d2e3655">During all seasons, the mean mass concentration of airborne endotoxins in Tianjin was much higher than that in remote islands such as Gosan (except for spring) (Tyagi et al., 2017), Chichijima (Bikkina et al., 2021b; Tyagi et al., 2015a), but close to the endotoxin levels measured in developed areas such as Tokyo (Bikkina et al., 2021a), and the Pearl River Delta in China (Cheng et al., 2012). These results imply that high endotoxin mass concentrations in urban areas may be caused by enhanced human activities (Lee et al., 2004). Guan et al. (2014) discovered a higher endotoxin level in a high-traffic urban setting than in a low-traffic residential area, and similarly Madsen (2006) reported that the endotoxin concentrations on congested streets were higher than in residential areas.</p>
      <p id="d2e3659">Different from higher endotoxin levels observed in winter and summer in Tianjin, the endotoxin level was much higher in spring at Gosan, Korea, which was probably due to the enhanced mobilization of mineral dust through high altitudinal long-range atmospheric transport (Tyagi et al., 2017). Dutch Expert Committee on Occupational Safety (DECOS), a Committee of the Health Council of the Netherlands stated that exposure to endotoxin above 9 ng m<sup>−3</sup> for 8 h or more increases the risk of respiratory diseases (DECOS, 2010). The endotoxin concentrations reported in this study and in previous studies exceeded this value, except for remote islands such as Chichijima (Fig. 5), raising an environmental health issue caused by airborne endotoxins.</p>
      <p id="d2e3674">It should be noted that the endotoxin concentration proposed by DECOS refers to the mass concentration of bioactive endotoxin rather than total mass concentration (DECOS, 2010). In light of the multiple studies, bioactive endotoxin appears to be correlated with C<sub>10</sub>, C<sub>14</sub>, C<sub>16</sub> 3-OH-FAs in coarse mode particles (PM<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the Pearl River Delta region (Cheng et al., 2012); C<sub>10</sub>, C<sub>12</sub>, C<sub>14</sub> 3-OH-FAs in house dust (Saraf et al., 1997, 1999; Park et al., 2004; Uhlig et al., 2016); C<sub>14</sub>, C<sub>16</sub> 3-OH-FAs in airplane seat dust (Hines et al., 2003); and C<sub>12</sub>, C<sub>14</sub> 3-OH-FAs in agricultural dust (Reynolds et al., 2005). In this regard, C<sub>10</sub>, C<sub>12</sub>, C<sub>14</sub>, C<sub>16</sub> 3-OH-FAs were selected to estimate the bioactive endotoxin potential in this study. Correspondingly, the estimated concentrations of bioactive endotoxins were substantially lower compared to total endotoxins (Fig. 5). The level of bioactive endotoxins at 2 m was 6.6 ng m<sup>−3</sup> in spring, 8.7 ng m<sup>−3</sup> in autumn, lower than the endotoxin exposure threshold (9.0 ng m<sup>−3</sup>). While the level of bioactive endotoxins exceeded the threshold in summer (9.1 ng m<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and winter (12.4 ng m<sup>−3</sup>), implying possible health risks of airborne endotoxin exposure.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Mass loading of airborne Gram-negative bacteria</title>
      <p id="d2e3894">Based on the empirical equations, the dry mass loading of airborne GNB was estimated from the endotoxin mass concentration. The mass concentrations of airborne GNB measured in this study and previous literatures measured in urban, marine and alpine aerosols are listed in Table 2. The dry mass concentration of airborne GNB showed obvious regional variations. The airborne GNB dry mass concentration in Tianjin was the highest in winter (882.5 <inline-formula><mml:math id="M246" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 167.4 ng m<sup>−3</sup>), followed by summer (787.6 <inline-formula><mml:math id="M248" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 538.0 ng m<sup>−3</sup>), autumn (684.2 <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 464.6 ng m<sup>−3</sup>), and the lowest in spring (467.8 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 220.4 ng m<sup>−3</sup>) at 2 m. Dry-mass concentrations of GNB in Tianjin PM<sub>10</sub> are markedly higher than those reported for PM<sub>10</sub> from Hong Kong in 2002–2003 (Lee et al., 2004) and even exceed GNB levels measured in TSP at Chichijima (Japan) (Bikkina et al., 2021b), Tokyo (Japan) (Bikkina et al., 2021a), and Gosan (Korea) (Tyagi et al., 2017). These findings underscore the exceptionally heavy bioaerosol burden in urban Tianjin and highlight the urgency of mitigating biological, as well as chemical, particulate pollution.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3995">Dry mass concentrations of GNB estimated in this study and previous studies.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3.5cm"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="2.2cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="2.2cm"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1" align="left">Sampling site</oasis:entry>

         <oasis:entry colname="col2">Sample</oasis:entry>

         <oasis:entry colname="col3" align="left">Time/</oasis:entry>

         <oasis:entry colname="col4" align="left">GNB (ng m<sup>−3</sup>)</oasis:entry>

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

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left">(period)</oasis:entry>

         <oasis:entry colname="col2">type</oasis:entry>

         <oasis:entry colname="col3" align="left">Location</oasis:entry>

         <oasis:entry colname="col4" align="left">Mean <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> SD</oasis:entry>

         <oasis:entry colname="col5"/>

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

         <oasis:entry colname="col1" align="left">Tianjin, China (2020–2021)</oasis:entry>

         <oasis:entry colname="col2">PM<sub>10</sub></oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">Autumn (2 m <inline-formula><mml:math id="M259" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 220 m)</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">684.2 <inline-formula><mml:math id="M260" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 464.6/ 427.4 <inline-formula><mml:math id="M261" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 237.3</oasis:entry>

         <oasis:entry colname="col5">This study</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Winter (2 m <inline-formula><mml:math id="M262" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 220 m)</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">882.5 <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 167.4/ 559.7 <inline-formula><mml:math id="M264" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 149.4</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Spring (2 m)</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">467.8 <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 220.4</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">Summer (2 m <inline-formula><mml:math id="M266" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 220 m)</oasis:entry>

         <oasis:entry colname="col4" align="left">787.6 <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 538.0/ 611.4 <inline-formula><mml:math id="M268" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 402.4</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1" align="left">Hong Kong, China (2002–2003)</oasis:entry>

         <oasis:entry colname="col2">PM<sub>2.5</sub></oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">HKUST</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">182</oasis:entry>

         <oasis:entry colname="col5">Lee et al. (2004)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">HKSCM</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">313</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2">PM<sub>2.5–10</sub></oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">HKUST</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">45</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry rowsep="1" colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">HKSCM</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">93</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2">PM<sub>10</sub></oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">HKUST</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">228</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">HKSCM</oasis:entry>

         <oasis:entry colname="col4" align="left">408</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1" align="left">Mount Tai,  China (2006)</oasis:entry>

         <oasis:entry colname="col2">TSP</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">H-BEEs</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">390</oasis:entry>

         <oasis:entry colname="col5">Tyagi et al. (2016)</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">L-BEEs</oasis:entry>

         <oasis:entry colname="col4" align="left">75</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="2" align="left">Chichijima, Japan (1990–1993; 2001–2003)</oasis:entry>

         <oasis:entry colname="col2">TSP</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">Spring</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">66; 200</oasis:entry>

         <oasis:entry colname="col5">Bikkina et al. (2021b)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Summer</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">48; 100</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Autumn</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">35; 58</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">Winter</oasis:entry>

         <oasis:entry colname="col4" align="left">50; 194</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1" align="left">Tokyo, Japan (1994)</oasis:entry>

         <oasis:entry colname="col2">TSP</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">May</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">313</oasis:entry>

         <oasis:entry colname="col5">Bikkina et al. (2021a)</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">September</oasis:entry>

         <oasis:entry colname="col4" align="left">636</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1" align="left">Gosan, Korea (2001–2002)</oasis:entry>

         <oasis:entry colname="col2">TSP</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" align="left">Spring</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">928</oasis:entry>

         <oasis:entry colname="col5">Tyagi et al. (2017)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Summer</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">118</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3" align="left">Autumn</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" align="left">194</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3" align="left">Winter</oasis:entry>

         <oasis:entry colname="col4" align="left">380</oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e3998">Note: TSP, total suspended particulate; SD, standard derivation; HKUST, Hongkong University of Science and Technology; HKSCM, Hongkong Science Museum; H-BEEs, high biomass-burning samples; L-BEEs, low biomass-burning samples.</p></table-wrap-foot></table-wrap>

      <p id="d2e4553">Amato et al. (2007) reported that cultivable airborne GNB in cloud water were more abundant in summer than in winter. The phenomenon was further explained by the preferential development of microbial populations on vegetation in summer, coupled with the relative resistance of GNB to ultraviolet (UV) damage. Heavy biomass burning activities may also result in higher GNB mass concentration. GNB mass concentration measured at Mount Tai, China during the high biomass burning events, were 5 times higher than that during the low biomass burning period (Tyagi et al., 2016). During biomass burning events (i.e., wildfires and prescribed fires), microbes can be aerosolized from terrestrial sources into the atmosphere (Bonfantine et al., 2024; Kobziar et al., 2024). It was previously assumed that pyrogenic carbon or smoke produced by biomass burning provides temporary habitat for microbes aerosolized from soils and vegetations (Bonfantine et al., 2024; Kobziar and Thompson, 2020). Meanwhile, particulate matter in smoke confers attenuation of UV-B and UV-A radiation, further leading to increasing bioaerosol viability and higher microbial cell concentration (Mims et al., 1997; Moore et al., 2021). Thus, the high GNB dry mass loading in Tianjin, extremely during summer and winter, could be resulted from the contributions of specific strains of GNB and/or microbial emissions during biomass burning. There are few descriptions of the atmospheric GNB mass concentrations in Tianjin in the literatures, and the distribution of different GNB community, namely the species distribution and their effects on human health remain to be further investigated.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Influencing factors of airborne endotoxins</title>
<sec id="Ch1.S3.SS5.SSS1">
  <label>3.5.1</label><title>Effects of meteorological conditions and gaseous pollutants</title>
      <p id="d2e4572">As components of GNB cell membranes, endotoxins are released during bacterial growth or death, meaning their mass concentration is determined not only by the abundance of GNB but also by factors such as GNB sources, meteorological conditions, surface types, and gaseous pollutants (Guan et al., 2014; Rolph et al., 2018).</p>
      <p id="d2e4575">Previous studies have demonstrated that air temperature plays a more predominant role in influencing endotoxin levels  than other environmental factors (Traversi et al., 2010; Carty et al., 2003). Higher endotoxin level was found in winter and autumn in Korea, and a negative association was observed between endotoxins and air temperature (Hwang and Park, 2019). Guan et al. (2014) observed high endotoxin level at 4–10 °C, and assumed this temperature range was suitable for bacterial growth. The endotoxin concentration was higher under very dry or wet conditions compared to relative humidity (RH) was 40 %–80 %. Cheng et al. (2012) suggested the differences in bacterial fauna and growth rates can cause different endotoxin level under similar climatic conditions. In this study, during the winter period in Tianjin, the RH was the lowest (46 %) compared to other seasons, while wind speed reached the highest at 220 m (4.8 m s<sup>−1</sup>) and the temperature was <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> to 5 °C, which might be suitable for the survival of specific GNB species, resulting the higher endotoxin level. In winter when air pollution is frequent, pollutants and other elements originating from anthropogenic sources act as toxins to GNB, thereby increasing the concentration of endotoxins as a result of cell death level (Guan et al., 2014; Mahapatra et al., 2018), providing a possible explanation for the highest endotoxin level in winter. Moreover, meteorological conditions characterized by stable weather patterns, such as high atmospheric pressure (Ormanova et al., 2020), reduced mixing layer height (MLH) and temperature inversions create unfavorable conditions for pollutant dispersion (Li et al., 2022; Yao et al., 2022). These conditions can lead to the accumulation of pollutants, exacerbating air pollution levels, particularly during the winter season in Tianjin.</p>
      <p id="d2e4600">Hierarchical cluster analysis classified the mass concentration of 3-OH-FAs (C<sub>8</sub>–C<sub>18</sub>) into 3 groups: short-chain (C<sub>8</sub>, C<sub>9</sub>), mid-chain (C<sub>10</sub>–C<sub>13</sub>), and long-chain (C<sub>14</sub>–C<sub>18</sub>) 3-OH-FAs. Each group likely shares similar sources or influencing factors. Spearman correlation analysis (Fig. S2) and Mantel test (Fig. 6) were used to evaluate the relationships between 3-OH-FAs, endotoxins, and environmental factors (meteorological parameters, carbonaceous fraction, anions and cations, air pollutants). Among meteorological parameters, RH and air temperature mainly accounted for observed variations in 3-OH-FAs concentrations (Fig. 6) (Mantel's <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Most short/mid-chain (C<sub>8</sub>–C<sub>13</sub>) 3-OH-FAs are positively correlated with air temperature and relative humidity, and negatively correlated with wind speed at both ground level and 220 m (Fig. S2). Long-chain (C<sub>14</sub>–C<sub>18</sub>) 3-OH-FAs were negatively correlated with air temperature and wind speed at near ground. These findings align with previous study (Guan et al., 2014), which reported significant correlations between endotoxin levels and air temperature and RH. Moderate air temperature and RH are considered conducive to bacterial growth (Allen et al., 2011; Guan et al., 2014). During summer, the average air temperature (27.8 °C at 2 m, 25.7 °C at 220 m) and relative humidity (72 % at 2 m, 81 % at 220 m) were the highest, with relatively intense solar radiation (156 W m<sup>−2</sup>). These meteorological conditions were favorable for photochemical reactions to occur (Huo et al., 2024; Pavuluri et al., 2015). While the data alone cannot prove a direct photochemical production route, the coincidence between intense photochemistry and the increase in these short/mid-chain (C<sub>8</sub>–C<sub>13</sub>) 3-OH-FAs may point to photochemically driven secondary pathways of fatty acids that have been hypothesized in previous studies (Bikkina et al., 2019; Wakeham, 1999; Tyagi et al., 2015a).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4758">Mantel test of 3-OH-FAs with meteorological conditions and chemical components of PM<sub>10</sub>. The square size scales with <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mtext>Spearman's</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>r</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>, and larger (smaller) squares indicate stronger (weaker) correlation.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f06.png"/>

          </fig>

      <p id="d2e4791">Previous studies have shown that gaseous pollutants (O<sub>3</sub>, SO<sub>2</sub>, NO<sub>2</sub>, and CO) can affect bacterial diversity and richness (Yan et al., 2018; Qi et al., 2020; Dong et al., 2016), potentially leading to varying distributions of 3-OH-FAs and endotoxins. The endotoxin mass concentrations exhibited a similar trend with PM<sub>2.5</sub>, PM<sub>10</sub>, NO<sub>2</sub> and CO (Fig. 3). Spearman's correlation analysis revealed significant positive correlations (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) between endotoxin mass concentrations, NO<sub>2</sub>, and CO near the ground (2 m) (Figs. S2, 7c, d), along with a significant negative correlation (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) with O<sub>3</sub> (Figs. S2, 7b). These results are consistent with previous studies (Guan et al., 2014; Hwang and Park, 2019), suggesting that gaseous pollutants, including SO<sub>2</sub>, NO<sub><italic>x</italic></sub> and O<sub>3</sub>, may kill GNB, thereby increasing endotoxin levels as result of cell death. Exposure to high concentration of SO<sub>2</sub> and NO<sub>2</sub> significantly increases the fragility and disruption of bioaerosols such as pollen, and may possibly increase the incidence of allergic airway disease in sensitized individuals by facilitating the bioavailability of airborne bioaerosols (Ouyang et al., 2016). When exposed to higher O<sub>3</sub>, oxidation of the hydroxyl group in the 3-OH-FAs may turn fatty acid chain into carbonyl group, thus cause the decrease in detected 3-OH-FAs and estimated endotoxins (Liu et al., 2025). Atmospheric photodegradation of proteinaceous matter may also  occur through reactions with O<sub>3</sub>, NO<sub>2</sub>, and the corresponding radicals, causing the damage of the main components of cell membranes (Green et al., 2013; Wang et al., 2019b; Xu et al., 2020).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4967">Spearman's correlation analyses between mass concentrations of endotoxins and air pollutants. <bold>(a)</bold> PM<sub>2.5</sub> and PM<sub>2.5–10</sub>; <bold>(b)</bold> O<sub>3</sub>; <bold>(c)</bold> NO<sub>2</sub>; <bold>(d)</bold> CO; <bold>(e–f)</bold> Total oxidants [O<sub>3</sub> <inline-formula><mml:math id="M315" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<sub>2</sub>] in winter and spring.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f07.png"/>

          </fig>

      <p id="d2e5059">Additionally, the combined concentration of O<sub>3</sub> and NO<sub>2</sub>, defined as the total oxidants in previous studies, has been used to estimate atmospheric oxidizing capacity (Hu et al., 2016, 2017). Endotoxin mass concentrations were positively associated with total oxidants in winter but negatively associated in spring (Fig. 7e, f). These opposite signs most likely reflect season-specific controlling factors rather than a single universal mechanism. During winter the boundary layer experienced moderate oxidizing conditions (O<sub><italic>x</italic></sub> <inline-formula><mml:math id="M320" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 68–98 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>); such environments have been linked to oxidative stress and lysis of Gram-negative bacteria, which could increase aerosol-phase lipopolysaccharide (Hwang and Park, 2019; Mahapatra et al., 2018). In contrast, springtime O<sub><italic>x</italic></sub> levels were even higher (78–126 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>), yet endotoxin decreased. One plausible explanation is a shift in microbial community composition: oxidant-tolerant taxa may dominate, while overall richness declines (Yin et al., 2021), leading to lower net release of endotoxin. No significant correlations were found between endotoxins and total oxidants in summer (O<sub><italic>x</italic></sub> <inline-formula><mml:math id="M327" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 92–199 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>) or autumn (O<sub><italic>x</italic></sub> <inline-formula><mml:math id="M331" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 69–140 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>).</p>
</sec>
<sec id="Ch1.S3.SS5.SSS2">
  <label>3.5.2</label><title>Effects of particulate pollutants</title>
      <p id="d2e5227">The endotoxin levels generally increased significantly under high PM pollution, showing a strong correlation with PM<sub>10</sub> concentrations (Shen et al., 2019; Zhong et al., 2019). Previous studies demonstrated that 60 % of biological active endotoxins (measured by LAL method) were associated with coarse-mode particles (PM<sub>2.5–10</sub>) emitted from natural sources, including soil dust and vegetation. Meanwhile, 80 % of total endotoxins (measured by GC-MS method) were associated with fine particles (PM<sub>2.5</sub>) originating from anthropogenic combustion processes (Cheng et al., 2012; Seinfeld et al., 1998). The endotoxin mass concentrations measured by LC-MS in this study showed a similar temporal trend to PM<sub>2.5</sub> and PM<sub>10</sub> (Fig. 3a, b). Here, airborne endotoxin levels were significantly and positively correlated with PM<sub>2.5</sub> (<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), while no significant correlation with PM<sub>2.5–10</sub> was observed (Fig. 7a). This result indicates that total airborne endotoxins are most likely related to anthropogenic sources.</p>
      <p id="d2e5316">Spearman correlation analysis (Fig. S2) and Mantel test (Fig. 6) revealed that short-chain 3-OH-FAs (C<sub>10</sub>–C<sub>13</sub>) at 220 m were mainly associated with meteorological conditions, WSOC, and Mg<sup>2+</sup>, reflecting their emissions from natural sources and secondary transformation during transport. According to Fig. S2, endotoxins at the near ground level (2 m) attributed by long-chain 3-OH-FAs (C<sub>15</sub>–C<sub>18</sub>) are correlated (<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) with chloride (Cl<sup>−</sup>) and sodium (Na<sup>+</sup>). Na<sup>+</sup> is generally used to characterize the impact of marine aerosols, as their usual source is sea salt, with <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> mass ratio of 1.8 (Martens et al., 1973; Wang and Shooter, 2001). The mass ratio of <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (2.9 <inline-formula><mml:math id="M353" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.5) at the near ground level was much higher than that of sea salt aerosols. This result indicated the impact of anthropogenic emissions, especially combustion emissions (Wang et al., 2005, 2012), on those 3-OH-FAs. Moreover, the positive correlation (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) of endotoxins with secondary inorganic species (SO<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NH<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and crustal species (Ca<sup>2+</sup>, Mg<sup>2+</sup>) separately, suggesting the possible sources of 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) from atmospheric secondary processes (Jung et al., 2009) and soil dust (Huang et al., 2006). This finding suggests that the emissions of long-chain 3-OH-FAs are influenced by multiple factors, including natural sources such as soil and anthropogenic sources such as combustion (Zhong et al., 2019). Composting facilities, intensive farming (e.g., cattle, swine and poultry), and wastewater treatment facilities are all potential anthropogenic sources of airborne endotoxins (Hu et al., 2020a; Rolph et al., 2018). According to Mahapatra et al. (2018), certain species of GNB may release more endotoxins when disrupted by anthropogenic contamination, or the source of higher pollution may themselves be significant sources of endotoxins.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Sources of 3-OH-FAs in Tianjin urban aerosols</title>
      <p id="d2e5554">Based on the PMF factor profiles, we identified 5 source factors (microorganisms, secondary nitrate formation process, secondary sulfate formation process, biomass burning, and dust) of PM<sub>10</sub> from Tianjin.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e5568">Source apportionment of 3-OH-FAs in Tianjin urban aerosols. <bold>(a)</bold> Factor profiles for the 5-factor solution from PMF analysis. <bold>(b)</bold> Contribution of different sources to 3-OH-FAs.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/14513/2025/acp-25-14513-2025-f08.png"/>

        </fig>

      <p id="d2e5583">Factor 1 was highly loaded on 3-OH-FAs, thus was mainly identified as microbial sources. Factor 2 was characterized by high loading of K<sup>+</sup> and Cl<sup>−</sup>, which were mainly emitted from biomass burning (Srivastava et al., 2021; Hays et al., 2005). Factor 3 was heavily weighted by NH<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, which was typical of secondary nitrate formation process (Wang et al., 2019a). Factor 4 presented high loaded of two crustal elements Ca<sup>2+</sup> and Mg<sup>2+</sup>, mainly emitted from dust sources (Huang et al., 2016). Factor 5 indicated secondary sulfate formation process, which was identified by high concentrations of NH<inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SO<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e5681">The contributions of different sources to 3-OH-FAs in PM<sub>10</sub> were estimated (Fig. 8). Mid-chain 3-OH-FAs (C<sub>10</sub>, C<sub>11</sub>, C<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were predominantly contributed by microorganisms (42.6 %–54.4 %), and also associated with secondary sulfate formation process (17.3 %–29.7 %) and dust sources (20.6 %–27.7 %). This result indicates substantial inputs from microorganisms associated with soil dust resuspension and aging of primary aerosols. Long-chain 3-OH-FAs (C<sub>14</sub>–C<sub>18</sub>) were likewise primarily originated from microorganisms (41.5 %–57.1 %), with notable contribution from biomass burning (16.5 %–31.4 %) and associated with secondary nitrate formation process (5.2 %–23.2 %). Overall, microorganisms represent the primary biological source of both mid- and long-chain 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>), with additional contributions from secondary processes and biomass burning.</p>
      <p id="d2e5760">The different behaviors of sulfate and nitrate further highlight source-specific processes. Sulfate-related processes are mainly driven by photochemical oxidation, aqueous phase or cloud chemistry at a regional scale (Slowik et al., 2010; Zheng et al., 2015), whereas nitrate-related processes are typically controlled by gas-particle partitioning, rapid secondary photochemical formation at a local scale (Vispute et al., 2025; Guo et al., 2010; Hu et al., 2016). Furthermore, the higher relative contributions of mid-chain 3-OH-FAs at 220 m (Fig. 4b) support their attribution to regional transport processes, similar to sulfate. Conversely, the enrichment of long-chain homologues at 2 m (Fig. 4b), together with their association with nitrate formation process, suggests a stronger influence from local combustion and secondary formation. In general, the PMF results, consistent with the results of Mantel test, indicate that mid-chain 3-OH-FAs are mainly influenced by natural sources and secondary processes, representing aged, regionally transported aerosols. In contrast, long-chain homologues show stronger links to anthropogenic emissions, particularly biomass burning and local secondary formation, reflecting fresher and more locally derived contributions.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5772">This study obtained the seasonal, altitudinal, and diurnal dynamics of airborne endotoxins in urban Tianjin through comprehensive quantification of 3-OH-FAs (C<sub>10</sub>–C<sub>18</sub>) in PM<sub>10</sub>. Airborne endotoxins exhibited clear altitude-dependent gradients (2 m vs. 220 m) and distinct temporal variability, with winter maxima reflecting combined contributions of near-ground natural emissions (e.g., soil microbial activity) and anthropogenic inputs (e.g., biomass burning). Source apportionment further revealed a chain-length-specific patterns: mid-chain homologues (C<sub>10</sub>–C<sub>13</sub>) were primarily linked to microorganisms and regional secondary formation, while long-chain species (C<sub>14</sub>–C<sub>18</sub>) showed stronger associations with biomass burning and local secondary processes. This differentiation was consistent with the vertical distribution of 3-OH-FAs, as the higher relative abundance of mid-chain homologues at 220 m suggested regional transport, whereas the enrichment of long-chain species at the ground level reflected stronger local influences.</p>
      <p id="d2e5839">Overall, total endotoxin levels in urban Tianjin were comparable to those reported in industrialized regions. The pronounced vertical attenuation underscores the localized impact of ground-level emissions. Bioactive endotoxin concentrations generally remained below DECOS thresholds, except during winter peaks, indicating a seasonal pattern of potential health risks. The opposing correlation between endotoxin levels and total oxidants (O<sub>3</sub> <inline-formula><mml:math id="M387" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<sub>2</sub>) in winter and spring highlights atmospheric oxidative capacity as a critical modulator of endotoxin activity. This study emphasizes the dominant role of microbial and secondary sources for mid-chain homologues, contrasted with the stronger influence of anthropogenic combustion on long-chain species. Future work should focus on quantifying these contributions, clarifying the dynamics between total and bioactive endotoxins, and identifying the bacterial taxa responsible for airborne endotoxins in typical atmospheric environments.</p>
</sec>

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

      <p id="d2e5873">The dataset for this paper is available upon request from the corresponding authors (huwei@tju.edu.cn; fupingqing@tju.edu.cn).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5876">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-25-14513-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-25-14513-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5885">PF and WH designed the entire study and the experiments. WZ visualized the data, and determined the structure of the article. WZ, MN, QZ, and NA executed experiments. WZ analyzed the data. WZ and WH wrote the draft manuscript with input from all the authors. All the authors discussed, edited, and approved the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5891">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="d2e5897">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. 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="d2e5904">We thank Yajie Wang and Donghuan Zhang for their help in sampling.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5909">This research has been supported by the National Natural Science Foundation of China (grant no. 42130513).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5915">This paper was edited by Theodora Nah and reviewed by three anonymous referees.</p>
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