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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-22-4929-2022</article-id><title-group><article-title>Direct measurements of ozone response to emissions perturbations in
California</article-title><alt-title>Direct measurements of ozone response to emissions perturbations in
California</alt-title>
      </title-group><?xmltex \runningtitle{Direct measurements of ozone response to emissions perturbations in
California}?><?xmltex \runningauthor{S.~Wu~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wu</surname><given-names>Shenglun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lee</surname><given-names>Hyung Joo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5519-5042</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff6">
          <name><surname>Anderson</surname><given-names>Andrea</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Liu</surname><given-names>Shang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Kuwayama</surname><given-names>Toshihiro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Seinfeld</surname><given-names>John H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1344-4068</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kleeman</surname><given-names>Michael J.</given-names></name>
          <email>mjkleeman@ucdavis.edu</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, University of
California Davis,<?xmltex \hack{\break}?> 1 Shields Ave, Davis, CA 95616, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Division of Environmental Science and Engineering, Pohang University
of Science and Technology (POSTECH), Pohang, Gyeongbuk 37673, South Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Chemistry, University of California Irvine, Irvine, CA
92697, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Research Division, California Air Resources Board, 1001 I Street,
Sacramento, CA 95814, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Chemical Engineering, California Institute of
Technology, 1200 E. California Blvd,<?xmltex \hack{\break}?> Pasadena, CA 91125, USA</institution>
        </aff>
        <aff id="aff6"><label>ℹ</label><institution>previously published under the name Rohrbacher</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Michael J. Kleeman (mjkleeman@ucdavis.edu)</corresp></author-notes><pub-date><day>14</day><month>April</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>7</issue>
      <fpage>4929</fpage><lpage>4949</lpage>
      <history>
        <date date-type="received"><day>20</day><month>August</month><year>2021</year></date>
           <date date-type="rev-request"><day>20</day><month>September</month><year>2021</year></date>
           <date date-type="rev-recd"><day>11</day><month>March</month><year>2022</year></date>
           <date date-type="accepted"><day>15</day><month>March</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </copyright-statement>
        <copyright-year>2022</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/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e175">A new technique was used to directly measure O<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> response to changes in
precursor NO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and volatile organic compound (VOC) concentrations in the atmosphere using three
identical Teflon smog chambers equipped with UV lights. One chamber
served as the baseline measurement for O<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation, one chamber added
NO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and one chamber added surrogate VOCs (ethylene, <inline-formula><mml:math id="M5" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene,
<inline-formula><mml:math id="M6" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>-hexane). Comparing the O<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation between chambers over a
3-hour UV cycle provides a direct measurement of O<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to
precursor concentrations. Measurements made with this system at Sacramento,
California, between April–December 2020 revealed that the
atmospheric chemical regime followed a seasonal cycle. O<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation was
VOC-limited (NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-rich) during the early spring, transitioned to
NO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited during the summer due to increased concentrations of
ambient VOCs with high O<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation potential, and then returned to
VOC-limited (NO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-rich) during the fall season as the concentrations of
ambient VOCs decreased and NO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> increased. This seasonal pattern of
O<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity is consistent with the cycle of biogenic emissions in
California. The direct chamber O<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity measurements matched
semi-direct measurements of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios from the TROPOspheric
Monitoring Instrument (TROPOMI) aboard the Sentinel-5 Precursor (Sentinel-5P) satellite. Furthermore, the satellite observations showed that
the same seasonal cycle in O<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity occurred over most of the
entire state of California, with only the urban cores of the very large
cities remaining VOC-limited across all seasons. The O<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-nonattainment
days (MDA8 O<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> ppb) have O<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity in the
NO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime, suggesting that a NO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions control
strategy would be most effective at reducing these peak O<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations. In contrast, a large portion of the days with MDA8 O<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations below 55 ppb were in the VOC-limited regime, suggesting that
an emissions control strategy focusing on NO<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reduction would increase
O<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. This challenging situation suggests that emissions
control programs that focus on NO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions will immediately lower
peak O<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations but slightly increase intermediate O<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations until NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels fall far enough to re-enter the
NO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime. The spatial pattern of increasing and decreasing
O<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in response to a NO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions control strategy
should be carefully mapped in order to fully understand the public health
implications.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e505">Ground-level ozone (O<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) is an oxidant that inflames airways and damages
tissue in the respiratory tract, leading to increased coughing, wheezing,
shortness of breath, and other asthmatic symptoms (US EPA,
2020b). Maximum daily average 8 h (MDA8) O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations designed
to protect public health are codified in the National Ambient Air Quality
Standards (NAAQS) (US EPA, 2021) and the California Ambient Air
Quality Standards (CAAQS) (California Air Resources Board,
2007). Seven of the 10 cities across the United States with the highest
O<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations are located in California (American Lung
Association, 2020), making O<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> pollution a continued public health
threat for millions of California residents more than four decades after
O<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> abatement efforts began.</p>
      <p id="d1e553">O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels are often described by the maximum daily average 8 h
concentration. The annual fourth-highest MDA8 O<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration averaged
over 3 years has special regulatory significance. This design value
determines whether the region containing the monitor complies with the
O<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> NAAQS. O<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design values in California decreased steadily
between the years 1980 and 2019 (Fig. 1) due to
the success of emissions control programs that reduced concentrations of
precursors broadly divided into two groups: oxides of nitrogen (NO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>)
and volatile organic compounds (VOCs) (Parrish et al., 2016; Simon et
al., 2015). Continued progress after the year 2010 has been slower, and
O<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design values even increased in some air basins between the years
2015–2018 (Fig. 1). Multiple factors have been proposed to explain the
lack of further reductions in O<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in recent years. These
potential factors include (i) growing importance of precursor VOC emissions
not previously accounted for in the planning process as major sources such
as transportation have been controlled (McDonald
et al., 2018; Shah et al., 2020), (ii) an imbalance in the historical degree
of NO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC reductions (Cox
et al., 2013; Parrish et al., 2016; Pollack et al., 2013a; Steiner et al.,
2006), or (iii) more frequent heat waves (Jacob
and Winner, 2009; Jing et al., 2017; Pusede et al., 2015; Rasmussen et al.,
2013; Weaver et al., 2009) and wildfires (Jaffe
et al., 2013; Lindaas et al., 2017; Lu et al., 2016; Singh et al., 2012) as
a consequence of climate change. All these theories are supported to varying
degrees by indirect measurements or model predictions, but there is an
absence of strong direct evidence that identifies dominant factors
contributing to the increased O<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The uncertainty that
lingers over the recent O<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> trends suggests that fresh approaches are
needed to directly verify the optimum emissions control path.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e649">The 8 h O<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design value in five air basins in California from
1980 to 2019. The dash line is the 2015 8 h O<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> NAAQS (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> ppb). The five air
basins include the Sacramento Valley (SAC), San Francisco Bay Area (Bay), San
Joaquin Valley (SJV), South Coast Air Basin (SoCAB), and San Diego County (SD).
Data collected from the California Air Resources Board (<uri>https://www.arb.ca.gov/adam</uri>, last access: 9 June 2021).</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f01.png"/>

      </fig>

      <p id="d1e690">O<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation has been studied for decades in California, using both
measurements and model simulations (Kroll et al.,
2020). These past studies provide important background information about the
effects of precursor NO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC species and help build the foundation
for new studies. Statistical analyses of long-term surface measurements have
determined that lower NO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations are associated with higher
O<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations on weekends (Pollack
et al., 2012; Pusede and Cohen, 2012) and higher temperatures are associated
with increased VOC emissions and chemical reaction rates, leading to higher
O<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations during warm stagnation events (Lafranchi et al.,
2011; Nussbaumer and Cohen, 2020). These long-term studies suggest that VOCs
are the limiting precursor for O<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in the center of large
cities, while NO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is the limiting precursor in downwind areas (Lafranchi
et al., 2011; Pusede and Cohen, 2012). Neither long-term analysis method
clearly explains the recent trend of increasing O<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in
Los Angeles.</p>
      <p id="d1e766">O<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity has also been analyzed over shorter timescales using
ratios of photochemical indicator species including
<inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Sillman, 1995;
Tonnesen and Dennis, 2000). Satellite retrievals of <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the
Global Ozone Monitoring Experiment (GOME), the SCanning Imaging Absorption
spectroMeter for Atmospheric CHartograpHY (SCIAMACHY), the Ozone Monitoring
Instrument (OMI), and the TROPOspheric Monitoring Instrument (TROPOMI) have
extended these O<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity calculations over broad geographical
regions (Chossière
et al., 2021; Duncan et al., 2010; Jin et al., 2017; Martin et al., 2004;
Schroeder et al., 2017a). The short-term measurements generally support the
findings from the long-term studies but once again fail to identify the
dominant factor(s) driving the recent increase in O<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design values.
Reactive chemical transport models (CTMs) have been used extensively to
predict the effectiveness of candidate emissions control programs (Brown,
2018; California Air Resources Board, 2018; Meng et al., 1997; Sillman,
1999), and so one might expect that they would provide the most detailed
explanation for recent O<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> trends. Models are necessarily incomplete
approximations to highly complex real-world systems, and so they are often
incapable of predicting subtle features in pollutant trends. No model
calculation has been able to reproduce the observed increase in O<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
design values (Parrish
et al., 2017). It is unclear whether this failure stems from a lack of
accurate emissions trends, an incomplete description of atmospheric
chemistry, or an incomplete representation of the effects of shifting
climate on O<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation mechanisms.</p>
      <p id="d1e877">Recent advances in measurement techniques provide new tools to study O<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity directly. Mobile smog chambers bridge the gap between laboratory
studies and the real atmosphere. Past studies have designed mobile smog
chambers to measure the aging of secondary pollutants (i.e., O<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, SOA)
from certain emission sources (Howard
et al., 2008, 2010b; Li et al., 2019; Platt et al., 2013; Presto et al.,
2011). It is difficult to evaluate sensitivity of secondary pollutants
formed from multiple sources using a single smog chamber. Recently, a mobile
dual-smog-chamber system has been used to directly measure the SOA formation
in ambient air (Jorga et
al., 2020; Kaltsonoudis et al., 2019). The design used in the current study
consists of three chambers that can simultaneously measure the non-linear
response of O<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation to NO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC perturbations. The
automated valve and sampling incorporated into this design also allows
long-term remote field measurements to evaluate the seasonal trends in
O<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity. At the same time, the satellite TROPOMI launched by the European Space Agency (ESA) in October
2017 provides measurements of HCHO and NO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> tropospheric vertical column
densities (TVCDs) with 3.5 km <inline-formula><mml:math id="M76" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5.5 km spatial resolution that can
start to resolve O<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> perturbations around major sources such as
wildfires (Ialongo
et al., 2020; Veefkind et al., 2012; Vigouroux et al., 2020b). The purpose
of this study is to combine these two new measurement techniques into a
detailed analysis of O<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to precursor NO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC
emissions spanning an entire spring–summer–fall cycle in California. Daily
measurements from smog chamber perturbation experiments are analyzed for
short-term trends (day of week) and long-term trends (seasonal variation) to
reveal the effects of traffic, natural vegetation, and wildfires. The direct
O<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity measurements are then combined with TROPOMI
<inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios to extend our understanding of the O<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity
across the entire state of California.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ground-based measurement</title>
      <p id="d1e1018">Three identical transportable smog chambers were used to directly measure
base case O<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration and O<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to precursor NO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
and VOC. Each chamber was constructed from fluorinated ethylene propylene (FEP) with a volume of 1 m<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> housed in an enclosure measuring 2.13 m <inline-formula><mml:math id="M87" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.22 m <inline-formula><mml:math id="M89" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.22 m <inline-formula><mml:math id="M91" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula>. UV lamp panels were placed on the floor and the roof of
the chamber support frame. Each panel can hold up to six UV lamps (Sylvania,
F40BL 40W T12) that emit at wavelengths between 280–400 nm. The lamp panels
were configured to produce 50 W m<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to replicate the mid-day
photochemistry in California during the summer. The enclosure walls were
constructed from polished aluminum with total reflectivity of
<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> %. Figure S1 in the Supplement represents the
cross-sectional view of the transportable smog chamber system.</p>
      <p id="d1e1115">One cubic meter of ambient air was injected into the FEP chambers at the
start of an experiment using a Teflon diaphragm pump (model DOA-V751-FB, Gas
Manufacturing, Benton Harbor, MI, USA) operating at a flow rate of 10 L min<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for each chamber. Solenoid valves were configured to
inject perturbation gases NO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (8 ppb NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and VOC surrogates (4.4 ppb ethylene, 2.8 ppb <inline-formula><mml:math id="M97" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>-hexane, and 0.8 ppb <inline-formula><mml:math id="M98" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>-xylene) respectively into
chambers no. 1 and no. 3 for comparison to base case chamber no. 2.
Perturbation gases were added halfway through the chamber filling operation
so that they would be thoroughly mixed with the ambient air during the
remainder of the chamber filling process. The composition of the VOC
perturbation was based on the VOC mixture used to determine ozone formation
potential (Carter et al., 1995). The magnitude of the
perturbations was selected to be as small as possible while still generating
an observable change in monitored ozone concentrations. A single set of
monitors sequentially measured concentrations within each chamber to
increase the precision of the inter-chamber comparisons. The current
experiment includes measurements of NO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (model nCLD-855-Yh, Eco
Physics, Dürnten, Switzerland), NO<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> (sum of all oxidized atmospheric
odd-nitrogen species) (model 42i, Thermo Fisher, Franklin, MA, USA), O<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (model 205, 2B technology, Boulder, CO, USA), and temperature–relative
humidity sensor (model RH-USB, Omega Engineering, Norwalk, CT, USA). The
total sample flow rate for all monitors was approximately 3 L min<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Seven
measurements with a duration of 10 min were made from each chamber, resulting
in a total sample volume of 210 L air, or approximately 21 % of the
chamber volume (leaving 79 % of the total air in the chamber). The shape
of the chambers was not greatly distorted at any point during the
experiment. Chambers were drained at the conclusion of an experiment using a
rotary vane vacuum pump (model 0523-101Q-G588DX, Gast Manufacturing, Benton
Harbor, MI, USA). All chamber operations were controlled automatically using
a program written in LabVIEW that interfaced with a customized set of data
acquisition devices and solenoid valves (DAQ-SV).</p>
      <p id="d1e1202">The consistency of the O<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation rates across chambers was tested in
a controlled laboratory environment prior to deployment in the field. All
three 1 m<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> FEP chambers were filled with laboratory air and were
perturbed by an equal mixture of both NO<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC prior to 180 min of
UV exposure. Several blank tests were performed by adding zero air (AI
0.0Z-K, Praxair) into all three chambers as part of the consistency tests to
further develop confidence in the chamber measurements.
Figure S2 in the Supplement illustrates the agreement between
chamber no. 1 and no. 3 O<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements vs. chamber no. 2 O<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
measurements during a typical QA/QC check. Uncertainty between chamber
measurements is <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % across a wide range of concentrations.
The loss rate of O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to chamber walls was determined in the dark for all
three 1 m<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> FEP chambers filled with identical NO<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>–VOC mixtures.
Average loss rates of 5 % h<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were calculated over the 3 h
experiments. Loss rates were identical for all chambers in the system, and so
this issue will not influence the comparisons between chambers in the
current study.</p>
      <p id="d1e1300">To confirm that chamber measurements represent the behavior observed in the
atmosphere, weekly-averaged O<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the base case chamber
were compared to weekly-averaged ambient O<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations measured at
the nearby monitoring station (marked in Fig. S5 in the Supplement) from April to December
2020 in Fig. S3 in the Supplement. The O<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the base case chamber at the start of each experiment were similar to the ambient O<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations,
indicating that the gas-phase chemical composition related to O<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
formation was not changed while injecting ambient air into the chamber. The
O<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in the chamber generally reflects the O<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemical
production from the in situ ambient air around 10:00–12:00 local time, while the ambient O<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is influenced by chemical
production, mixing, and deposition (Cazorla et al., 2012). As expected, the
initial rate of O<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in the chamber is therefore higher than
the initial rate of change in the ambient O<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The
current experiment is focused on measuring the response of this chemical
production rate to changes in precursor NO<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC concentrations
because this most closely approximates the local effects of potential
emissions control programs.</p>
      <p id="d1e1404">VOC measurements are useful to help interpret O<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation trends and
to identify the chemical regime on the NO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-VOC isopleth for O<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Seinfeld and Pandis, 2016).
Ground-level daily VOC measurements from Photochemical Assessment Monitoring
Stations (PAMS) are only available for a limited number of summer months, and
so alternative indicator species were investigated. Baker (2008) found that non-methane
hydrocarbon (NMHC) concentrations were correlated with CO concentrations in 28 US cities during the years 1999–2005. This may reflect situations
where dominant sources that emit CO also emit large amounts of NMHC, or it
may reflect situations where relatively constant sources of CO and NMHC are
correlated because they are diluted by the same amount of atmospheric
mixing. The success of emissions control programs targeting anthropogenic
VOCs has increased the relative importance of residual biogenic VOCs in many
urban atmospheres across the United States (US EPA, 2020a). Biogenic
sources do not emit CO, but biogenic VOCs can react in the atmosphere to
produce CO (Hudman et
al., 2008). CO also acts as an indicator of atmospheric mixing that equally
affects all primary sources. In an effort to improve the ability of CO to
represent biogenic VOCs in the current study, an additional metric was
calculated by multiplying the measured CO concentrations by the enhancement factor for isoprene emissions induced by temperature
and relative humidity (Guenther et al., 1991).
Figure S4 in the Supplement shows the correlation between
measured VOC reactivity (VOCR) and CO <inline-formula><mml:math id="M127" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic at Sacramento during summer
months between 2010–2019. VOCR was calculated from PAMS measurements of
VOC concentrations multiplied by their reaction rate constant with OH (Chen
et al., 2010; Kleinman, 2005; Steiner et al., 2008). VOCR and CO <inline-formula><mml:math id="M128" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic
are reasonably well correlated (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), while VOCR
and CO were less correlated (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn></mml:mrow></mml:math></inline-formula>). This analysis supports the
preference for CO <inline-formula><mml:math id="M132" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic as an approximate surrogate for VOCR in the
current study, with the understanding that real-time measurements of VOCR
would be highly preferred in future studies.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Satellite data</title>
      <p id="d1e1500">Tropospheric HCHO and NO<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> retrievals (level 2; unit: mol m<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) over
California were obtained from the TROPOMI for February–October 2020. The
TROPOMI is aboard the Sentinel-5 Precursor (Sentinel 5-P) satellite, which
was launched by the ESA in October 2017. The polar-orbiting satellite
enables quantitative information on trace gases to be retrieved
approximately at 13:30 local sun time (ascending node) each day on a global
scale. The retrieval algorithms for TROPOMI NO<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> data use the
measurements of the earth's radiance in the visible absorption wavelengths (405–465 nm) made by the hyperspectral imaging spectrometer. The
algorithms first derive the total slant column density of NO<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using a
differential optical absorption spectroscopy (DOAS) method. The total slant
column NO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is then separated into stratospheric and tropospheric slant
column densities of NO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> while utilizing information from a data
assimilation system. Finally, the tropospheric vertical column density of
NO<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is obtained by applying conversion factors, called air mass factors (AMFs), to the tropospheric slant column density of NO<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The retrievals
of TROPOMI HCHO data apply a similar DOAS method to the ultraviolet (UV)
wavelengths (328.5–359 nm) of the solar spectrum. Further details about
the TROPOMI data are provided by Veefkind et al. (2012), Van
Geffen et al. (2020), and De
Smedt et al. (2018).</p>
      <p id="d1e1579">The spatial resolution of TROPOMI NO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO TVCDs is 3.5 km <inline-formula><mml:math id="M142" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5.5 km, which is finer than that of the predecessor OMI (13 km <inline-formula><mml:math id="M143" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 24 km). Quality assurance (QA) values were obtained alongside the
HCHO and NO<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> data, and only measurements with QA values <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula>
were retained to ensure good data quality and sufficient data points when
computing monthly averages (Van Geffen et al., 2021).
Correction factors were not applied to TROPOMI data in the current study.
Verhoelst et al. (2021) and
Vigouroux et al. (2020a) analyzed the
accuracy of the TROPOMI data using ground-based measurement sites across the
globe. Measurements were not made in California, but several of the
evaluation sites had attributes similar to locations in California. Bias in
daily TROPOMI NO<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> retrievals varied between <inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 % and <inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>56 % in
moderately polluted areas with NO<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column measurements between
<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (typical for
moderate-sized cities in California). The bias in TROPOMI HCHO measurements
ranged between <inline-formula><mml:math id="M153" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>26 % <inline-formula><mml:math id="M154" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 % at low HCHO levels and <inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30.8 % <inline-formula><mml:math id="M156" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 % at high HCHO levels. HCHO levels measured in Sacramento (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) had a bias of
approximately zero. These results suggest that TROPOMI measurements over
California almost certainly contain some amount of bias that could only be
removed through a comparison to measurements from a ground-based network.
Application of global-average bias correction factors would not change the
trends in HCHO and NO<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in time and space even if they would change the
absolute magnitude of those values. The current analysis will therefore
focus on trends in the TROPOMI measurements.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experimental description</title>
      <p id="d1e1775">O<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivities to precursor <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow></mml:math></inline-formula> concentrations were measured
in central Sacramento, CA (38.57<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 121.49<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), from April–December 2020 (222 experiment days out of a total of 251 d). Sources in the vicinity
of the site include commercial office buildings, restaurants, two major
highways, freight and passenger rail lines, a shipping port, and suburban
residences (see map in Fig. S5). Grab samples of ambient air were collected between 10:00 and 12:00 local time to characterize the
daytime O<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation rates in the presence of variable atmospheric
mixing and regional emissions. Sensitivities were based on perturbation
concentrations of approximately 8 ppb of NO<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> injected into chamber no. 1 and 8 ppb of VOC surrogates injected into chamber no. 3. Initial gas
concentrations were measured from the full chambers in the dark over a 30 min period (10 min for each chamber). The UV lamp panels were then
illuminated for 180 min, and the chamber concentrations were measured in a
continuous cycle of 10 min intervals over a total of seven cycles. Each
active monitoring period lasted 210 min (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> min of dark measurements <inline-formula><mml:math id="M167" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>180 min of light measurements). Measurements in different chambers are made
at different times, making it difficult to compare chamber results at the
conclusion of the experiment. It was noted that O<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
within each chamber averaged in each 10 min sampling interval increased
linearly over the 180 min period when the UV lights were on. A linear
regression model was therefore applied to extrapolate O<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
in each chamber to the end of the measurement period to facilitate direct
comparisons between the base case chamber no. 2 and perturbed chambers no. 1
and no. 3. The difference of
O<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration after 3 h UV exposure was calculated between chamber no. 1 and chamber no. 2 (<inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) and chamber no. 3 to
chamber no. 2 <inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> to quantify
the O<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity. An example of a typical day of O<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> results
analysis is shown in SI.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Chamber model description</title>
      <p id="d1e1957">A chamber model developed by Howard et al (2008,
2010a, b) was employed as a part of this analysis to quantify the
sensitivity of the O<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> response to NO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbations under
different experimental configurations. The chemical reaction system used by
the chamber model is based on the SAPRC11 chemical mechanism (Carter and Heo, 2013) with wall loss rates
based on the measured value of 5 % h<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The time integration
procedures used to solve the set of differential equations that predict
concentrations as a function of time are taken from the full University of
California Davis and California Institute of
Technology (UCD/CIT)
chemical transport model (Venecek
et al., 2018; Ying et al., 2007). Day-specific values of NO, NO<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and
O<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> initial concentrations used in the chamber simulations are based on
measurements near the study location. VOC initial concentrations used in the
chamber simulations are based on UCD/CIT simulations over the study
location. The seasonal profile of the simulated VOC concentrations matches
the CO <inline-formula><mml:math id="M182" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic trends illustrated in Fig. 2, but the amplitude of the
simulated seasonal trend was damped. VOC initial concentrations used in the
chamber simulations were therefore scaled to match the amplitude of the
CO <inline-formula><mml:math id="M183" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic factor. Section 4.1 presents a sensitivity study on the chamber
measurement result using the chamber model described here.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2025">Monthly concentrations of NO<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold> and
CO <inline-formula><mml:math id="M185" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic/HCHO/isoprene <bold>(b)</bold> from February to December 2020.
Ground-based chamber measurements use the left axis with results shown as
box-and-whisker plots. TROPOMI measurements use the right axis and are shown
as diamonds. Isoprene from the ground monitoring station is shown as blue
triangles. The open box and points show the results after removing wildfire
days.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Chamber measurement and satellite results in Sacramento</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Monthly variation of ambient gas concentrations</title>
      <p id="d1e2079">Figure 2 compares the ground-based measurements and
the TROPOMI column measurements of NO<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC surrogate concentrations
at the Sacramento sampling site. Good agreement is observed between the time
trends of the chamber and TROPOMI satellite remote sensing measurements.
Both techniques identify strong seasonal patterns for the concentrations of
the O<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> precursors.</p>
      <p id="d1e2100">Figure 2a shows the monthly-averaged TROPOMI
satellite NO<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements and the boxplot of daily chamber NO<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements at Sacramento between February–December 2020. NO<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations remained relatively stable between April and July and then
sharply increased in August–September possibly due to increased wildfires
in the late summer months. Enrichment of NO<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and other pollutants in
wildfire plumes has been noted in previous research (Jaffe and Wigder, 2012). The open boxes in
Fig. 2a represent days within the months of August–November that were not influenced by wildfire smoke (Anderson and Kuwayama, 2022), leading to reduced NO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations. The upward trend in NO<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations in October–December 2020 is likely associated with decreased boundary layer heights
and increased fuel consumption for heating during the colder fall–winter
season. This seasonal association can also be viewed in the decreasing
TROPOMI NO<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels measured during the warmer spring season (February–April, 2020). TROPOMI column measurements will not directly depend on
boundary layer height, but increased boundary layer heights are usually
associated with higher average boundary layer wind speeds, leading to
downwind advection and dispersion of pollutants. The effects of reduced
transportation emissions in March–April 2020 caused by COVID-19
shelter-in-place orders are notably minor in the ambient NO<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements. Although light-duty vehicle traffic decreased by as much as
50 % during this time period, heavy-duty truck traffic was more constant (Liu et al.,
2020; Parker et al., 2020). The ground-based measurement site is 0.8 and 1.8 km from two major freeways, but NO<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations at this site do not
appear to be strongly influenced by the COVID-19 reduction in light-duty
traffic activity. Increasing NO<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from residences and
relatively quick recovery of the heavy-duty traffic compared to the
light-duty traffic may also minimize COVID-19 effects on NO<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentrations (Liu et al.,
2021). The seasonal pattern of NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations driven by wildfires,
reduced boundary layer height, and increased residential fuel consumption
appears to dominate at the urban Sacramento location.</p>
      <p id="d1e2213">Figure 2b shows the monthly-averaged TROPOMI
satellite HCHO levels and the daily ground-based CO <inline-formula><mml:math id="M200" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic concentration
at the Sacramento sampling site. The agreement between the seasonal trend in
the CO <inline-formula><mml:math id="M201" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic and TROPOMI HCHO builds confidence in the use of CO <inline-formula><mml:math id="M202" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic
as a ground-based indicator of VOC concentrations at this location. Both
indicators suggest that VOC concentrations increased from April–August
2020 and sharply declined in October 2020. Wildfires can emit large amounts
of VOCs that can be transported to urban areas (Zhang et al., 2018). It is possible
that wildfires contributed to the highest VOC concentrations observed
between August and September 2020. Removing the days influenced by wildfires (open box) still leaves a strong seasonal trend with increasing VOC
concentrations between April–August 2020, which is consistent with
increasing VOC emissions from biogenic sources. Biogenic VOC (BVOC)
emissions increase during warmer spring months and continue to increase as
temperatures rise into summer (Guenther
et al., 2006, 1991). The CO <inline-formula><mml:math id="M203" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic factor inherently incorporates this
effect, but the strong agreement between the TROPOMI HCHO levels and the
CO <inline-formula><mml:math id="M204" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic metric in Fig. 2b suggests that the
seasonal pattern of the biogenic emissions is a real feature of the dataset
and not an artifact of how the CO <inline-formula><mml:math id="M205" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic metric was constructed.
Similarly, the declining VOC concentration observed in October 2020 and
beyond matched the expected decrease in biogenic emissions during the
colder fall and winter seasons when vegetation becomes dormant. The seasonal
pattern illustrated in Fig. 2b suggests that BVOC
is an important precursor of HCHO in Sacramento.</p>
      <p id="d1e2259">PAMS measurements of ground-level isoprene concentrations in Sacramento are
shown as blue diamonds in Fig. 2b. Isoprene is highly reactive in the
atmosphere, and so PAMS-measured concentrations are lower than 4 ppb. The
limited time period of available measurements makes it difficult to discern
seasonal trends, but the slightly lower measured isoprene concentrations in
July and slightly higher isoprene concentrations in August followed by
decreasing (non-wildfire) isoprene concentrations in September generally
match the VOC trends generated using both TROPOMI HCHO and CO <inline-formula><mml:math id="M206" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic. Once
again, the agreement between the three independent techniques builds
confidence in the overall assessment of VOC seasonal trends.</p>
      <p id="d1e2270">Volatile chemical products (VCPs) are another important category of VOC
emissions (McDonald et al., 2018).
The expanded usage of spray disinfectant and sanitization products during
the COVID-19 pandemic might have been a significant source of VOCs in the
urban area, but the expected usage pattern of these products does not
include a sharp decline in the fall period. The seasonal pattern of VOC
concentrations increasing during spring–summer and decreasing during fall–winter is more consistent with a combination of biogenic sources and
wildfires, as discussed above.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><?xmltex \opttitle{Seasonal trends in O${}_{{3}}$ sensitivity}?><title>Seasonal trends in O<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity</title>
      <p id="d1e2291">Figure 3a shows the monthly trends in measured
<inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and TROPOMI <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from February 2020 to
December 2020 at the Sacramento site. The <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> value
represents the change in O<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in response to a <inline-formula><mml:math id="M214" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 ppb
NO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbation. O<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation is NO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited when the
<inline-formula><mml:math id="M218" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> value is positive and VOC-limited when the
<inline-formula><mml:math id="M220" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> value is negative. Changes in the absolute
magnitudes of the <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> values reflect the degree of
O<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to the NO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbation. <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and TROPOMI <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> both increase from April to
August 2020 and then sharply decline in October 2020. By comparing the
transition points of <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and TROPOMI <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> (discussed in Sect. 3.2), it is evident
that O<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation evolved from VOC-limited conditions in spring towards
NO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions from June to August, followed by a return to
VOC-limited conditions after October 2020. It is notable that the seasonal
trend for <inline-formula><mml:math id="M235" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> matches the trend of increased BVOC
emissions during the summer and increased NO<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions during the
winter. The travel restrictions associated with COVID-19 that occurred in
March–May 2020 appeared to have little impact on the overall seasonal
trends in <inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> behavior.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2673">Monthly variation of TROPOMI <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (diamond) and <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (box) due to NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> addition (<inline-formula><mml:math id="M244" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <bold>a</bold>) and VOC
addition (<inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <bold>b</bold>) from
April to December including wildfire days (shaded box) and without wildfire days (open box).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f03.png"/>

          </fig>

      <p id="d1e2776">The median ground-based <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> indicates
VOC-limited conditions in September 2020, but the TROPOMI satellite
<inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> indicates NO<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions for
this same month. Removing the wildfire days from the analysis period (open
box in Fig. 3a) did not reconcile the two
measurements. The divergence of the ground-based measurements and satellite
measurements in this month may reflect the presence of elevated plumes of
wildfire smoke above the monitoring site that were detected by the satellite
measurements (Jin et al., 2017).
Cleaner air at the ground-based monitors, therefore, yielded <inline-formula><mml:math id="M253" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> values in a different chemical regime than the satellite
measurements that are based on the tropospheric vertical column densities.
This comparison suggests that ground-based measurements may be required to
supplement satellite-based measurements to fully characterize the surface
O<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation regime under special circumstances that generate
concentrated pollution layers above the ground-level.</p>
      <p id="d1e2878">Removing the days influenced by wildfires from the chamber measurement (open
box) and TROPOMI satellite measurement (open diamond) in
Fig. 3a reduces both <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
and TROPOMI <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Figure S7 in the Supplement compares TROPOMI HCHO and NO<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on
wildfire days and non-wildfire days. Median TROPOMI HCHO measurements
increased by 44 % and TROPOMI NO<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements increased by 14 % on
wildfire days. The comparison between wildfire vs. non-wildfire days implies
that wildfires emit more VOC than NO<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, which is in agreement with
previous studies (Jaffe and Wigder, 2012). It
is also notable that the decrease in <inline-formula><mml:math id="M262" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is larger
than the decrease in TROPOMI <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This observation might once
again reflect the fact that the wildfire identification algorithm (Anderson and Kuwayama, 2022) was based on ground-level
measurements that do not flag all of the days with elevated plumes above the
monitoring site that could differentially affect the satellite measurements.</p>
      <p id="d1e2989">Figure 3b shows the monthly variation of
ground-based <inline-formula><mml:math id="M265" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and TROPOMI satellite <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
from February–December 2020 at the Sacramento sampling site. <inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. 3b) has an inverse time trend
compared to <inline-formula><mml:math id="M270" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and TROPOMI <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2a).
The <inline-formula><mml:math id="M273" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> trend is well correlated to the TROPOMI <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> trend plotted on a reversed axis between April–August 2020,
but the two trends diverge in September–October 2020 when wildfires were
prevalent. Removing the wildfire days from August to October (open box)
increased the ground-based <inline-formula><mml:math id="M276" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, once again suggesting that
wildfires contributed more VOCs than NO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to the atmosphere (Altshuler et al., 2020). The divergence between the
ground-based <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> measurements and TROPOMI satellite <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements during the wildfire season once again reflects
the presence of elevated plumes that were measured by the satellite but not
by the ground-based monitors (Schroeder et al., 2017a).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Weekend effect</title>
      <p id="d1e3207">Figure 4 separately plots concentrations of O<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
precursors and O<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity on weekdays (shaded bars) and weekends (open bars) during the current study period. Direct wildfire days have been
removed from the analysis (Anderson and Kuwayama, 2022) to
focus on the day-of-week patterns. Hypothesis tests were carried out to
determine if weekday and weekend responses were similar in each month. The
results indicate that weekend reductions in NO<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations were
significant at a 90 % confidence level (or higher) before July. The
similarity between weekday and weekend NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations after July
may be associated with increased NO<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from wildfires in the
late summer and space heating in the fall–winter since neither of these
sources follows a weekday/weekend pattern. Although days directly affected
by the wildfire smoke were removed from the analysis, residual emissions
from smoldering fires and multi-day recirculation of air mass that have been
affected by wildfire smoke may have contributed to elevated regional
NO<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations through the formation of reactive nitrogen reservoir
species such as peroxyacetyl nitrate (PAN) that can be transported over long
distances (Lindaas et al., 2017). The
CO <inline-formula><mml:math id="M288" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic VOC surrogate did not display statistically significant
differences between weekdays vs. weekends except in June and July. Extremely
hot days (<inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) occurred on weekdays in June and
weekends in July, driving the CO <inline-formula><mml:math id="M291" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic factor higher.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3300">Weekday (solid box) and weekend (open box) monthly-average
concentrations of NO<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CO <inline-formula><mml:math id="M293" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic <bold>(a, b)</bold> and
<inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M295" 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>NO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
and <inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <bold>(c, d)</bold> from April to December 2020 after removing wildfire days. The asterisks above each box-and-whisker plot represent the significance of the
weekday vs. weekend difference. (<inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>∗</mml:mo><mml:mo>:</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> value <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>:</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> value
<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>:</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> value <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>:</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula> value <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>;
ns (not significant): <inline-formula><mml:math id="M307" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f04.png"/>

          </fig>

      <p id="d1e3503">Reduced NO<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions on weekends are reflected in the O<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity to precursors shown in Fig. 4c and d.
The median <inline-formula><mml:math id="M311" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> sensitivity is higher on
weekends for most months, indicating that the atmosphere was more
NO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited. Large variability in the data makes the weekend vs.
weekday <inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> response statistically significant
at the 90 % (or higher) level only in April, September, and October. The
large weekend reductions in median NO<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations detected in May
and June did not lead to significantly higher weekend <inline-formula><mml:math id="M317" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, possibly because of higher weekday median VOC
concentrations in these months. Median O<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity was
NO<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited (<inline-formula><mml:math id="M321" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) on both
weekdays and weekends from June to August when BVOC emissions are expected
to be highest. In spring and early fall (April, May, and September), the
median weekday O<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity is VOC-limited but the median weekend
O<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity is NO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited. In late fall and winter (October–November), the median O<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity is VOC-limited on
both weekends and weekdays. Weekend NO<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions have an inverse
effect on <inline-formula><mml:math id="M328" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> shown in Fig. 4d
compared to <inline-formula><mml:math id="M330" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. The median <inline-formula><mml:math id="M332" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is lower on weekends than weekdays because the O<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation is more
NO<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited on weekends.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <label>3.1.4</label><?xmltex \opttitle{O${}_{{3}}$ isopleth measurements}?><title>O<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth measurements</title>
      <p id="d1e3819">Figure 5 summarizes the NO<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, CO <inline-formula><mml:math id="M338" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic,
O<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M340" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M342" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> measurements
in Sacramento from April to December in 2020 in the format of an O<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
isopleth diagram. Each data point in Fig. 5
corresponds to measurements on a single day. The color of each symbol
represents the O<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the base case chamber after 3 h
of UV irradiation. The NO<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO <inline-formula><mml:math id="M347" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic
factors are calculated as the daily value divided by averaged value. The arrow attached to each data symbol points in
the direction of maximum <inline-formula><mml:math id="M348" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in response to NO<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC
addition. The magnitude of the arrow corresponds to the strength of the
<inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> response. All arrows generally point right, meaning that
VOC addition increased O<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. Arrows pointing to the bottom
right indicate that NO<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> addition decreased the O<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration,
while arrows pointing to the upper right indicate that NO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> addition
increased the O<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The most effective emissions control
program acts in the direction opposite to each arrow.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4019">Measured O<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth diagram. The NO<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and CO <inline-formula><mml:math id="M360" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic
factor is calculated by the daily value divided by averaged value. The
O<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration is the daily O<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the base case
chamber after 3 h UV exposure. Arrows represent the O<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity.
The blue dots are the monthly-averaged values, and the blue line shows the
seasonal cycle in the O<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth diagram. Days influenced by wildfires
are removed from the plot.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f05.png"/>

          </fig>

      <p id="d1e4090">The mixture of daily data points (yellow to red points) shows the O<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
isopleth pattern where higher O<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration (darker color) exists at
higher NO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC concentrations. The combination of the colors and
the arrows illustrated in the isopleth diagram helps to define the measured
ridgeline in the O<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth diagram that denotes the transition
between VOC-limited chemistry and NO<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited chemistry at Sacramento.
Arrows in the upper left of the diagram point downwards (VOC-limited)
towards the ridgeline, while arrows in the lower right of the diagram point
upwards (NO<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited) towards the ridgeline. The atmospheric system
experiences a range of conditions throughout the 9-month study period
that moved the measurements around the O<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth diagram. The average
seasonal cycle is illustrated in Fig. 5 using
monthly-average points shown as blue circles with white month numbers. The
monthly-average O<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemical regime traces an oval path through the isopleth diagram as NO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations decrease and CO <inline-formula><mml:math id="M374" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic (proxy
of VOC) concentrations increase moving from spring to summer months.
NO<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations increase rapidly in fall while CO <inline-formula><mml:math id="M376" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic
concentrations simultaneously decrease at the Sacramento sampling location,
transitioning the O<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemistry to VOC-limited conditions. The pattern
is expected to reverse for the months of January–March (not shown) to
produce a repeatable annual cycle. The direct measurement of the seasonal
pattern of the O<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemical regime clearly illustrates the effects of
NO<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC emissions controls at different times of the year.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS5">
  <label>3.1.5</label><?xmltex \opttitle{Extreme value analysis for O${}_{{3}}$ sensitivity}?><title>Extreme value analysis for O<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity</title>
      <p id="d1e4245">The days with the highest measured O<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations are of particular
interest in the current study since emissions control programs are
traditionally tailored to reduce the O<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design value, which is
determined by MDA8 O<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration. Figure 6 illustrates
box-and-whisker plots of measured <inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M386" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> at Sacramento binned according to the MDA8 O<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration measured at the monitoring station near the chamber
measurement site. The right two bins, corresponding to the
O<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-nonattainment days (MDA8 O<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> ppb), have O<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity in the NO<inline-formula><mml:math id="M392" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime where NO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> addition increases
O<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations and VOC addition has minor effects on O<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations. These measurements suggest that a NO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions control
strategy would be most effective at reducing these peak O<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations. In contrast, a large portion of the days with MDA8 O<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations below 55 ppb were in the VOC-limited regime, suggesting that
an emissions control strategy focusing on NO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reduction would increase
O<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. VOC controls on these intermediate days would be
difficult, however, if biogenic VOCs account for the majority of the O<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
formation. This challenging situation suggests that emissions control
programs that focus on NO<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions will immediately lower peak
O<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations but slightly increase intermediate O<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations until NO<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels fall far enough to re-enter the
NO<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4504">Boxplot of O<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to NO<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC as a function
of MDA8 O<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration. Points indicate the data point in each range
of MDA8 O<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f06.png"/>

          </fig>

      <p id="d1e4549">Additional statistical analysis was carried out to characterize the extreme
values in the O<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity plots (Coles, 2001;
Gilleland and Katz, 2016). Extreme value analysis characterizes high
concentrations using return levels corresponding to a specified time
period (<inline-formula><mml:math id="M412" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>). In the context of the current analysis, the return level is the
<inline-formula><mml:math id="M413" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> perturbation response that is expected to be exceeded once
during the specified time period. The probability of exceeding the return
level is therefore <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>. Figure 7 shows the 90 d
return level for <inline-formula><mml:math id="M416" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M418" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
sensitivity based on statistical analysis of the measured perturbation
response in each month. The 90 d time period was chosen to correspond to
the time period inherent in the O<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> design value values that are based
on the annual fourth-highest O<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration averaged in 3 years
(12 exceedances <inline-formula><mml:math id="M422" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 1095 d equals approximately 1 exceedance <inline-formula><mml:math id="M423" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 90 d). The 90 d return value of O<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity can therefore be
viewed as the design value for O<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity. Figure 7 shows that the
90 d return levels for O<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity and the median O<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity follow similar seasonal trends, but the extreme values are
shifted higher such that they are NO<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited from April to December,
except November, which is slightly VOC-limited. The positive 90 d return
levels of <inline-formula><mml:math id="M429" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> once again
suggest the NO<inline-formula><mml:math id="M431" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> control is an efficient strategy to reduce peak O<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in Sacramento.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4769">Three-year return level (red dot) and 95 % confidence interval (red
open dot) from extreme value analysis of O<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to NO<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and
VOC.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f07.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Chamber and TROPOMI data correlation</title>
      <p id="d1e4807">The consistency between the NO<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC measurements made using
ground-based chambers and satellite observations enables a joint analysis to
directly calculate the TROPOMI <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio at the transition between
NO<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC-limited O<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation regimes. Three circular buffers (2.5, 5, and 7.5 km radii) centered on the monitoring location were used to
generate the TROPOMI <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio that was then compared to the
measured <inline-formula><mml:math id="M440" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio at the monitoring site. The
<inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio generated using the 5 km radius buffer shows the best
correlation with ground-based chamber results shown in
Fig. 8a (results from other buffers are shown in
Fig. S8 in the Supplement). Linear regression analysis between
1-week-averaged <inline-formula><mml:math id="M443" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with and
without wildfires shows that removing the wildfires always improves the
correlation coefficient (<inline-formula><mml:math id="M446" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>), likely because the elevated wildfire plumes
have different effects on surface vs. integrated column measurements. The
regression carried out using a 5 km buffer radius with wildfires removed
yielded a correlation coefficient <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). The
transition point between NO<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited and VOC-limited conditions (corresponding to <inline-formula><mml:math id="M450" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) occurs when
<inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> (95 % confidence interval: 4.39–5.90). When the TROPOMI satellite <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio fell below 4.6, then
the ground-based measurement of <inline-formula><mml:math id="M455" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was usually
negative, and when the satellite <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio rose above 4.6, then the
ground-based measurement of <inline-formula><mml:math id="M458" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was usually positive.
Ordinary lease squares (OLS) regression was used to estimate the transition
point <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> between chemical regimes. This approach does not
account for uncertainty in chamber <inline-formula><mml:math id="M462" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. Repeating the analysis using reduced
major axis (RMA) regression that accounts for errors in both <inline-formula><mml:math id="M464" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M465" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> yields
an estimated transition point <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula> between chemical regimes (Fig. S9 in the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e5217">Ordinary least squares (OLS) regression between weekly-averaged
TROPOMI <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 5 km circular buffers and the weekly-averaged
<inline-formula><mml:math id="M469" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
from ground-based measurement. The shaded area shows the 95 % confidence
interval of the mean response of the predicted value.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f08.png"/>

        </fig>

      <p id="d1e5266">The <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition point directly measured in the current study
is consistent with previous estimates constructed from the combination of
satellite measurements and routine ground-based O<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> monitoring data (Jin et al., 2020). Other previous efforts to estimate <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value at the transition point between NO<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited and VOC-limited regimes typically couple satellite
<inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements with O<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity or O<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity
indicators (i.e., <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">LNO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">LRO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) predicted using reactive chemical
transport models. These hybrid studies predict <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition
points lower than the value of 4.6 derived in the current study. Martin (2004) used <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from GOME to calculate the
regime transition value <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> for polluted areas across the
globe. Duncan et al. (2010) used OMI to estimate the regime transition value
<inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–2 across the continental United States. Schroeder (2017b) found the transition range
could between <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula>–5.0 during DISCOVER-AQ in
Houston. These estimated <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition values vary due to the
different satellite resolution, retrieval algorithms, and inherent air
pollution patterns over the different study areas. The finer-resolution
satellite data used in the current study combined with direct ground-based
measurements of O<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity should provide accurate information for
the <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition point between chemical regimes over California.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{TROPOMI~O${}_{{3}}$ sensitivity in California}?><title>TROPOMI O<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity in California</title>
      <p id="d1e5533">Figure 9 displays the monthly-average
spatial distribution of TROPOMI <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios across California for
the time period April–October 2020. Overall, TROPOMI <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
the lowest (mean (standard deviation) <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> (1.2)) in April and the
highest (mean (standard deviation) <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9.7</mml:mn></mml:mrow></mml:math></inline-formula> (3.2)) in July. The seasonal
pattern of increasing NO<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> limitation during the summer months at
Sacramento (Fig. 3a, b) is mirrored across most of
California (Fig. 9), especially in the mountainous
areas with dense vegetation. The majority of California is in the
VOC-limited regime in April and May due to the low BVOC emissions. Only very
remote regions with low NO<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations are still in the
NO<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime during these spring months. Most areas outside of
major urban centers transition toward NO<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions between
June and September as ambient temperature and BVOC emissions increase. These
areas then transition back to the VOC-limited regime in the fall months
beginning in October as temperatures decrease and vegetation becomes
dormant.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e5625">Spatial distribution of TROPOMI satellite (<inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) ratios
in California for April–October 2020. TROPOMI NO<inline-formula><mml:math id="M500" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HCHO data are
re-gridded to 5 km resolution when calculating monthly-average ratios. The
black bold line circles the burned area in each month detected by MODIS from
Fire Information for Resource Management System (FIRMS). The NO<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited
conditions correspond to <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios above 4.6.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f09.png"/>

        </fig>

      <p id="d1e5682">Large urban centers including Los Angeles, San Diego, and the San Francisco
Bay Area exhibit low <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios (VOC-limited conditions)
throughout the study period. These urban areas contain less vegetation and
larger numbers of NO<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sources than outlying suburban and rural areas.
Therefore, reducing NO<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions in these urban centers may increase
monthly-average O<inline-formula><mml:math id="M506" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations throughout the year. The
<inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio in California's Central Valley is lower than the
<inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio in the surrounding mountainous area during all months of
the study period. This spatial pattern reflects the high BVOC emissions from
coniferous forests in the mountainous regions compared to the cropland in
the Central Valley (Misztal et al.,
2014).</p>
      <p id="d1e5759">Past studies have found that wildfire smoke plumes mixing with high urban
NO<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions can lead to enhanced urban O<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations (Jaffe and Wigder, 2012). The effects of
wildfires during August–September 2020 can be observed in
Fig. 9 as zones of reduced <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
immediately around the active burn areas followed by a larger halo zone
of increased <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as the VOCs emitted from wildfires have time to
react to form HCHO. This halo pattern is most obvious in October 2020,
when the seasonal cycle of biogenic emissions declined sufficiently to shift
the O<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity back to the VOC-limited regime for the majority of
the state except for the region surrounding a wildfire in the Sierra Nevada
mountain range east of Fresno (near Yosemite National Park). VOCs emitted
from the wildfire in October 2020 reacted to produce HCHO in the halo
region, keeping the <inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio in the NO<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime. The
extensive wildfires that occurred in 2020 appear to have extended the
natural peak of the <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio from July into August, September,
and even October 2020. It is unknown whether this satellite observation
accurately represents conditions at ground level. The results at the
Sacramento monitoring site in September 2020 (Fig. 3a and b) suggest that elevated smoke plumes can dominate the satellite
observations, but they may not accurately represent conditions at ground
level.</p>
      <p id="d1e5859">The seasonal variation of O<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity can be observed over the
entire state of California using the TROPOMI <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Table S1).
Figure 10a shows how the O<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity seasonal pattern differs among
different air basins. The air basins with the highest populations have
suppressed seasonal variation of O<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity because of the higher
anthropogenic NO<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions. The SoCAB had the lowest <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
ratio among all the air basins in California during the study period. This
is noteworthy since the SoCAB has the highest population and the highest
O<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The San Francisco Bay Area and San Diego County, two
other heavily populated areas in California, also have relatively low
<inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios compared to other air basins. Using <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> as the transition point, even these highly urbanized air basins appear
to transition from VOC-limited to NO<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited O<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation
chemistry in summer 2020. It is noteworthy, however, that the urban cores of
these regions remain VOC-limited across all months due to very high NO<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions (see persistently green regions in Fig. 9). Figure 10b
illustrates the TROPOMI <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> monthly variation for different cities
in SoCAB between February and October 2020. The cities inside/around the LA
urban core have <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> throughout the entire year with
a weak seasonal variation. This might be caused by reduced BVOC emissions in
the urban center. The remote areas (darker colors in Fig. 10b) have
greater seasonal variation and higher peak <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The sharp increase
in <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in summer leads to a shift in O<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity from the
NO<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated regime to the NO<inline-formula><mml:math id="M537" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime in the cities
further away from the urban core. Due to the different seasonal variation of
<inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at different sites, the NO<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-saturated region around the
urban core will shrink in the summer and expand in the winter. Figure S10 in the Supplement shows this seasonal pattern of O<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity regime distribution in
Los Angeles as an example. Thus, the optimal emissions control strategy for
the entire air basin may differ from the optimal emissions control strategy
for urban cores areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e6140">Monthly variation of TROPOMI <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in different air
basins <bold>(a)</bold> and in different cities in Southern California <bold>(b)</bold>. The darker colors in the right panel indicate increasing distance
from the urban center of Los Angeles.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Sensitivity analysis</title>
      <p id="d1e6186">The chamber measurements made in the current study capture the sensitivity
of the O<inline-formula><mml:math id="M542" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemical production term in response to the concentration of
NO<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC. The experiment does not directly account for atmospheric
processes such as mixing and deposition, but the chemical production term represents
the dominant processes that determine how local emissions affect local
O<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The good agreement between ground-based chamber
measurements and satellite O<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity measurements in the current
study builds confidence in the reported seasonal trend of O<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity. Limitations and uncertainties associated with the temperature,
UV intensity, and <inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">VOC</mml:mi></mml:mrow></mml:math></inline-formula> perturbations used in the ground-based chamber
measurements are discussed in this section to build further confidence in
the results. The potential of these issues to influence the results is
analyzed through a combination of measurements and model calculations. The
configuration of the chamber model is described in Sect. 2.4. Figure 11
shows that the chamber model can accurately predict the measured seasonal
trends in O<inline-formula><mml:math id="M548" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity, providing a solid foundation for sensitivity
tests.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e6261">Monthly variation of the <inline-formula><mml:math id="M549" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and
<inline-formula><mml:math id="M551" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> predicted by the chamber model (solid box) and directly measured in the
chamber (open box) from April to December 2020 at the Sacramento
measurement site.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f11.png"/>

        </fig>

<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Temperature</title>
      <p id="d1e6331">The temperature in the reaction chambers was higher than the ambient
temperature due to the heating effects of the UV lights. Figure S11 in the Supplement shows
that the difference between the chamber gas temperature and the ambient
temperature increased by 5–10 <inline-formula><mml:math id="M553" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C over the course of each experiment,
with the exact temperature profile depending on the measurement month.
Despite this temperature increase, all three chambers experience the same
temperature profile, and so the comparison of O<inline-formula><mml:math id="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation between the
chambers is not strongly biased by this issue. Figure 12a shows the
calculated <inline-formula><mml:math id="M555" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> during each
month of the experiment under the chamber and ambient temperature profiles.
The difference between the chamber and ambient temperature has little effect
on the O<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity in each month. Temperature effects do not
significantly modify the seasonal variation of the measured O<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity in the current study. Similar behavior was shown in
<inline-formula><mml:math id="M559" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> in Fig. S12a.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e6420">Effect of temperature, radiation, and perturbation amount on the
monthly variation of the predicted chamber <inline-formula><mml:math id="M561" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> from April
to December 2020 at the Sacramento measurement site. Open boxes show the
predicted response under chamber measurement conditions (chamber
temperature, radiation, and 8 ppb NO<inline-formula><mml:math id="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation). Solid boxes show
the predicted response when conditions are updated: <bold>(a)</bold> using the ambient
temperature profile; <bold>(b)</bold> using clear-sky solar radiation; <bold>(c)</bold> using a 2 ppb NO<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbation; and <bold>(d)</bold> using the combination of ambient temperature, solar
radiation, and 2 ppb NO<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4929/2022/acp-22-4929-2022-f12.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>UV intensity</title>
      <p id="d1e6503">The UV intensity in the chambers was intentionally maintained at a constant
level through all seasons so that the changes in O<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity could
be directly attributed to the changes in the ambient concentrations. A
representative average UV intensity was selected for this purpose. As was
the case with temperature, all chambers experience the same UV conditions,
and so this factor is not expected to overly bias the comparison between
chambers that acts as the core of the current study. The actual seasonal
cycle of UV radiation would generate higher photolysis rates in the summer
and lower photolysis rates in the winter that would further amplify the
seasonal signal already detected by the measurements with constant UV
intensity. SAPRC11 chamber model simulations were used to quantify the
effect of seasonal variations in UV intensity. Simulations were carried out
using the measured constant UV radiation in the chambers and using the clear-sky UV intensity calculated with the routines in the UCD/CIT CTM based on
the latitude–longitude of the measurement site and the day of year. The calculations
summarized in Fig. 12b show that the difference associated with the use of
constant UV radiation does not change the seasonal pattern of O<inline-formula><mml:math id="M567" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
sensitivity to NO<inline-formula><mml:math id="M568" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbations. The seasonal changes to UV intensity
slightly amplify the magnitude of the seasonal trend in O<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity (increase the absolute value of <inline-formula><mml:math id="M570" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mtext>NO</mml:mtext><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>), but the overall seasonal pattern is
unchanged. Similar behavior was shown in <inline-formula><mml:math id="M572" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> in Fig. S12b in the Supplement.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>Perturbation size</title>
      <p id="d1e6598">The constant 8 ppb NO<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbations used in the current study are
greater than or equal to ambient NO<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations during the summer
season at Sacramento. O<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation chemistry is non-linear, meaning
that the size of the perturbation may complicate the interpretation of the
sensitivity results. O<inline-formula><mml:math id="M577" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity measurements were conducted using
NO<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbations ranging from 1–10 ppb at the UC Davis campus from
December 2021 to January 2022 to investigate the non-linear behavior of the
O<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation chemistry. The results summarized in Fig. S13 in the Supplement show the
O<inline-formula><mml:math id="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> response expressed as <inline-formula><mml:math id="M581" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M582" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (final O<inline-formula><mml:math id="M583" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
in the base case chamber minus final O<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the NO<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbed
chamber). The <inline-formula><mml:math id="M586" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M587" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is negative in all NO<inline-formula><mml:math id="M588" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbed tests
due to the low VOC emission in winter in Davis, CA (similar to Sacramento).
Increasing the magnitude of the NO<inline-formula><mml:math id="M589" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> perturbation increased the absolute
magnitude of the <inline-formula><mml:math id="M590" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M591" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> value but did not shift the chemistry into
a different regime.</p>
      <p id="d1e6760">The size of the NO<inline-formula><mml:math id="M592" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC perturbation used in the chamber
experiments is most important when ambient conditions are close to the
ridgeline on the O<inline-formula><mml:math id="M593" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isopleth diagram (spring and fall in the current
experiment). An 8 ppb NO<inline-formula><mml:math id="M594" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation may jump over the ridgeline in
this case, suggesting that the chemistry is NO<inline-formula><mml:math id="M595" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-rich rather than
NO<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited. SAPRC11 chamber model simulations were used to quantify
the effect of the 8 ppb NO<inline-formula><mml:math id="M597" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation vs. a smaller 2 ppb NO<inline-formula><mml:math id="M598" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
perturbation. As shown in Fig. 12c, the 8 ppb NO<inline-formula><mml:math id="M599" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbations used
in the current study do not affect the shape of the seasonal trend in
O<inline-formula><mml:math id="M600" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity measurement, but the 8 ppb NO<inline-formula><mml:math id="M601" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation (open
box in Fig. 12c) does affect the transition months when the atmospheric
system changes to NO<inline-formula><mml:math id="M602" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited behavior. This issue may influence the
estimated value of <inline-formula><mml:math id="M603" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that characterizes the transition to
NO<inline-formula><mml:math id="M604" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited behavior in Sect. 3.2, but it should be noted that the
value of 4.6 derived in the current study is in good agreement with the
value of 4.5 reported by Jin et al. (2020). The
non-linearities associated with VOC chemistry are less severe, and so the
size of the VOC perturbation does not complicate the interpretation of
results (see <inline-formula><mml:math id="M605" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>O<inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mo>+</mml:mo><mml:mtext>VOC</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> in Fig. S12c).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <label>4.1.4</label><title>Combined effects of temperature, UV intensity, and perturbation size</title>
      <p id="d1e6919">The O<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity calculated with the combined effects of temperature,
UV intensity, and lower perturbation size was compared to the base case
calculated O<inline-formula><mml:math id="M608" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity in Figs. 12d and S12d (in the Supplement). The NO<inline-formula><mml:math id="M609" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
perturbation size has the largest effect on the chamber O<inline-formula><mml:math id="M610" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity
results, with relatively minor changes introduced by temperature and UV
intensity. None of these issues changes the basic pattern of increasing
NO<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> limitations during summer months transitioning to VOC limitations
during winter months. It should be noted that operation of the mobile smog
chamber system in cities with higher ambient NO<inline-formula><mml:math id="M612" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations is
expected to give O<inline-formula><mml:math id="M613" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity results that are even less dependent on
the NO<inline-formula><mml:math id="M614" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> perturbation size.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{O${}_{{3}}$ control strategies in California}?><title>O<inline-formula><mml:math id="M615" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> control strategies in California</title>
      <p id="d1e7014">California's current O<inline-formula><mml:math id="M616" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> control strategies mainly focus on NO<inline-formula><mml:math id="M617" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions from motor vehicles (Barcikowski et al., 2017) and
especially heavy-duty trucks (Burke, 2020). Additional control
strategies would require cleaner engines and zero/near-zero emission
technologies (Brown, 2018; South Coast AQMD, 2021). VOC
sources that dominate O<inline-formula><mml:math id="M618" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation are still not clear due to the large
numbers of activities that release VOCs and the complex reactions that VOCs
undergo in the atmosphere. Controls on VOC emissions have been more
effective than controls on NO<inline-formula><mml:math id="M619" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions over the past decades, mainly
because of reduced emissions from large stationary sources (Barcikowski et al., 2017). The estimated VOC emissions
decreased by a factor of 3 while NO<inline-formula><mml:math id="M620" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission decreased by a factor of 1.5 between 1980 and 2010 according to the California inventory (Cox et al., 2013; Rasmussen et al., 2013).
Long-term ambient measurements in the SoCAB confirm that ambient VOC
concentrations decreased at an average rate of 7.5 % yr<inline-formula><mml:math id="M621" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, while
ambient NO<inline-formula><mml:math id="M622" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations decreased at an average rate of 2.6 % yr<inline-formula><mml:math id="M623" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> between the years 1980 and 2010 (Pollack
et al., 2013b; Warneke et al., 2012). These ambient measurements suggest
emissions reduction by a factor of 10 for VOCs and a factor of 2.2 for NO<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>.
Recent studies have shown that VOCs from consumer products are
underestimated in the emission inventory (McDonald et al., 2018). However,
the clear seasonal pattern in the measured O<inline-formula><mml:math id="M625" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity and the
corresponding pattern for concentrations of VOC proxies (HCHO and
CO <inline-formula><mml:math id="M626" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> biogenic) suggest that BVOCs are also important.</p>
      <p id="d1e7121">The 2016 California State Implementation Plan calls for a 34 % reduction
in NO<inline-formula><mml:math id="M627" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions and a 30 % reduction in VOC emissions (California Air Resources Board, 2018), which will increase the
<inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">VOC</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio. This will reduce peak O<inline-formula><mml:math id="M629" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in most
areas across California that become NO<inline-formula><mml:math id="M630" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited in the middle of the
summer. In contrast, the NO<inline-formula><mml:math id="M631" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions control program could cause a
short-term increase in peak O<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the urban cores that
are currently VOC-limited, and it could increase intermediate O<inline-formula><mml:math id="M633" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in late spring or early fall as regions transition back to
VOC-limited conditions. These regions do not currently violate the O<inline-formula><mml:math id="M634" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
NAAQS, but they could experience future violations depending on the timing
of the transition to lower NO<inline-formula><mml:math id="M635" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations. Despite these penalties,
controls on NO<inline-formula><mml:math id="M636" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions may be the only alternative for long-term
O<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reductions in regions where VOC emissions are dominated by biogenic
sources. As the NO<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> keeps decreasing, the O<inline-formula><mml:math id="M639" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photochemical regime
will eventually transition back to NO<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions, and all
further NO<inline-formula><mml:math id="M641" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions will yield decreasing O<inline-formula><mml:math id="M642" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations.
Previous studies have observed such a transition between VOC-limited and
NO<inline-formula><mml:math id="M643" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions in polluted urban areas with high NO<inline-formula><mml:math id="M644" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentrations. Jin et al. (2020)
observed a suppression of the NO<inline-formula><mml:math id="M645" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited area between 2013–2016 vs.
1996–2000 in Los Angeles by analyzing satellite <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios.
Baidar et al. (2015) observed a
weakening of the higher O<inline-formula><mml:math id="M647" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations on weekends in the SoCAB
between 1996 and 2014, reflecting a transition towards more NO<inline-formula><mml:math id="M648" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited
conditions. These studies suggest that continued reductions in NO<inline-formula><mml:math id="M649" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions will eventually yield a transition to fully NO<inline-formula><mml:math id="M650" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited
conditions in Los Angeles, albeit this transition may not be fully complete
for decades.</p>
      <p id="d1e7356">Wildfires are an unpredictable factor that enhances O<inline-formula><mml:math id="M651" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in
California. O<inline-formula><mml:math id="M652" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation during wildfire events shifts towards more
NO<inline-formula><mml:math id="M653" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions, making reductions in NO<inline-formula><mml:math id="M654" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions
attractive. The frequency and scale of wildfires in the western United States have
increased over time due to the effects of drought and climate change (USGCRP, 2017). Abatement strategies may focus on wildfire
prevention as an effective way to reduce incidental O<inline-formula><mml:math id="M655" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d1e7414">Direct measurements of O<inline-formula><mml:math id="M656" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity to precursor NO<inline-formula><mml:math id="M657" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC
concentrations using a mobile smog chamber system in Sacramento, CA, from
April to December 2020 show that O<inline-formula><mml:math id="M658" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity follows a seasonal
cycle. O<inline-formula><mml:math id="M659" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation is VOC-limited in the spring, is NO<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited in
the summer, and returns to VOC-limited in fall–winter. This seasonal
pattern reflects higher emissions of reactive VOCs during the summer season
and increased NO<inline-formula><mml:math id="M661" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations during the other seasons. The most
obvious potential source of increased VOC emissions during the summer season
is biogenics. Comparing the ground-based chamber measurements to satellite
measurements from TROPOMI suggests that the transition between
NO<inline-formula><mml:math id="M662" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited and VOC-limited chemical regimes for O<inline-formula><mml:math id="M663" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation
occurs at a TROPOMI <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio of 4.6. Monthly-averaged TROPOMI
measurements show that O<inline-formula><mml:math id="M665" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity across most of California follows
a seasonal cycle similar to Sacramento, but locations with higher population
density are more VOC-limited. The urban cores of most large cities remain
VOC-limited in all seasons even when the surrounding areas become
NO<inline-formula><mml:math id="M666" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited in the middle of summer. The variability of the chemical
regime for O<inline-formula><mml:math id="M667" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation across space and time makes it difficult to
design an emissions control strategy that will equitably reduce O<inline-formula><mml:math id="M668" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations for all California residents currently living in air basins
that violate the 8 h O<inline-formula><mml:math id="M669" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> NAAQS. Reductions in NO<inline-formula><mml:math id="M670" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions will
be the most efficient control strategy to reduce present-day peak O<inline-formula><mml:math id="M671" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations, but this strategy will lead to increasing O<inline-formula><mml:math id="M672" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in urban cores during the middle of summer and increasing
O<inline-formula><mml:math id="M673" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in surrounding regions during late spring and early
fall. These penalties will persist until NO<inline-formula><mml:math id="M674" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions are reduced
sufficiently to push the entire region into NO<inline-formula><mml:math id="M675" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited conditions
sometime in the coming decades. VOC emissions reductions never cause
increasing O<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, and O<inline-formula><mml:math id="M677" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation is VOC-limited
during some seasons. It may be advisable to augment NO<inline-formula><mml:math id="M678" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions
control programs with some amount of controls on volatile consumer products (VCPs) and mitigation of wildfires in an attempt to reduce any near-term
increases in O<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. Continued deep NO<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions
reductions should eventually transition all locations across California into
the NO<inline-formula><mml:math id="M681" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime and will effectively push the state toward
8 h O<inline-formula><mml:math id="M682" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> NAAQS attainment.</p>
</sec>

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

      <p id="d1e7674">Daily chamber measurement data including O<inline-formula><mml:math id="M683" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration, O<inline-formula><mml:math id="M684" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sensitivity, and <inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration  can be accessed through <uri>https://datadryad.org/stash/share/ktJh3AxAs0K7y8Iku8-VL3v7ZuGwBGQodYhRT-wHZ04</uri> (Wu et al., 2022).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e7709">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-4929-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-22-4929-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7718">SW made field measurements and wrote the initial draft of each version of
the manuscript. HJL processed TROPOMI data. AR analyzed wildfire vs.
no-wildfire periods. SL provided project management. TK constructed the
initial version of the chambers. JHS hosted initial measurements and helped
revise the manuscript. MJK designed the experiment, directed the data analysis,
coded the chamber model, and revised the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7724">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e7730">This document is disseminated in the interest of information exchange and does not necessarily reflect the official views or policies of the State of California, the California Air Resources Board, or the Coordinating Research Council.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7739">The authors thank Michael Miguel, Anthony Esparza, and Aimee Davis of the
California Air Resources Board (CARB) for their logistical support
surrounding the siting of the chamber experiments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7744">This research has been supported by the California Air Resources Board (grant no. 19RD012), the Coordinating Research Council (grant nos. A-121 and A-121-2), and the University of California Institute of Transportation Studies through funding from the State of California via the Public Transportation Account and the Road Repair and Accountability Act of 2017 (SB 1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7750">This paper was edited by Andreas Hofzumahaus and reviewed by William Stockwell, David Parrish, and two anonymous referees.</p>
  </notes><ref-list>
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