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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-15-6283-2015</article-id><title-group><article-title>A large and ubiquitous source of atmospheric formic acid</article-title>
      </title-group><?xmltex \runningtitle{Sources and sinks of atmospheric formic acid
}?><?xmltex \runningauthor{D.~B. Millet et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Millet</surname><given-names>D. B.</given-names></name>
          <email>dbm@umn.edu</email>
        <ext-link>https://orcid.org/0000-0003-3076-125X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Baasandorj</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Farmer</surname><given-names>D. K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Thornton</surname><given-names>J. A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Baumann</surname><given-names>K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4045-5539</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Brophy</surname><given-names>P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chaliyakunnel</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>de Gouw</surname><given-names>J. A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0385-1826</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6 aff10">
          <name><surname>Graus</surname><given-names>M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2025-9242</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff11">
          <name><surname>Hu</surname><given-names>L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Koss</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lee</surname><given-names>B. H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lopez-Hilfiker</surname><given-names>F. D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Neuman</surname><given-names>J. A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3986-1727</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Paulot</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Peischl</surname><given-names>J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9320-7101</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6 aff12">
          <name><surname>Pollack</surname><given-names>I. B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7151-9756</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Ryerson</surname><given-names>T. B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2800-7581</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Warneke</surname><given-names>C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Williams</surname><given-names>B. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Xu</surname><given-names>J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Soil, Water, and Climate, University of Minnesota,
Minneapolis–Saint Paul, MN 55108, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Chemistry, Colorado State University, Fort Collins, CO
80523, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Atmospheric Sciences, University of Washington,
Seattle, WA 98195, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Atmospheric Research &amp; Analysis Inc., Cary, NC 27513, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Chemical Sciences Division, NOAA Earth System Research Laboratory,
Boulder, CO 80305, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Cooperative Institute for Research in Environmental Sciences,
University of Colorado, Boulder, CO 80309, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>NOAA Geophysical Fluid Dynamics Laboratory, Princeton, NJ 08540, USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Energy, Environmental, and Chemical Engineering,
Washington University in St. Louis, St. Louis,<?xmltex \hack{\newline}?> MO 63130, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Department of Physics and Atmospheric Science, Dalhousie University,
Halifax, NS B3H 4R2, Canada</institution>
        </aff>
        <aff id="aff10"><label>*</label><institution>now at: Institute of Meteorology and Geophysics, University of
Innsbruck, 6020 Innsbruck, Austria</institution>
        </aff>
        <aff id="aff11"><label>**</label><institution>now at: School of Engineering and Applied Sciences, Harvard
University, Cambridge, MA 02138, USA</institution>
        </aff>
        <aff id="aff12"><label>***</label><institution>now at: Department of Atmospheric Science, Colorado
State University, Fort Collins, CO 80523, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">D. B. Millet (dbm@umn.edu)</corresp></author-notes><pub-date><day>9</day><month>June</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>11</issue>
      <fpage>6283</fpage><lpage>6304</lpage>
      <history>
        <date date-type="received"><day>1</day><month>January</month><year>2015</year></date>
           <date date-type="rev-request"><day>18</day><month>February</month><year>2015</year></date>
           <date date-type="rev-recd"><day>30</day><month>April</month><year>2015</year></date>
           <date date-type="accepted"><day>15</day><month>May</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Formic acid (HCOOH) is one of the most abundant acids in the atmosphere,
with an important influence on precipitation chemistry and acidity. Here we
employ a chemical transport model (GEOS-Chem CTM) to interpret recent airborne
and ground-based measurements over the US Southeast in terms of the
constraints they provide on HCOOH sources and sinks. Summertime boundary
layer concentrations average several parts-per-billion, 2–3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> larger
than can be explained based on known production and loss pathways. This
indicates one or more large missing HCOOH sources, and suggests either a key
gap in current understanding of hydrocarbon oxidation or a large,
unidentified, direct flux of HCOOH. Model-measurement comparisons implicate
biogenic sources (e.g., isoprene oxidation) as the predominant HCOOH source.
Resolving the unexplained boundary layer concentrations based (i) solely on
isoprene oxidation would require a 3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> increase in the model HCOOH
yield, or (ii) solely on direct HCOOH emissions would require approximately a
25<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> increase in its biogenic flux. However, neither of these can
explain the high HCOOH amounts seen in anthropogenic air masses and in the
free troposphere. The overall indication is of a large biogenic source
combined with ubiquitous chemical production of HCOOH across a range of
precursors. Laboratory work is needed to better quantify the rates and
mechanisms of carboxylic acid production from isoprene and other prevalent
organics. Stabilized Criegee intermediates (SCIs) provide a large model
source of HCOOH, while acetaldehyde tautomerization accounts for
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 % of the simulated global burden. Because carboxylic
acids also react with SCIs and catalyze the reverse tautomerization
reaction, HCOOH buffers against its own production by both of these
pathways. Based on recent laboratory results, reaction between
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and OH could provide a major source of atmospheric HCOOH;
however, including this chemistry degrades the model simulation of
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH. Developing better constraints on SCI
and RO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH chemistry is a high priority for future work. The model
neither captures the large diurnal amplitude in HCOOH seen in surface air,
nor its inverted vertical gradient at night. This implies a substantial bias
in our current representation of deposition as modulated by boundary layer
dynamics, and may indicate an HCOOH sink underestimate and thus an even
larger missing source. A more robust treatment of surface deposition is a
key need for improving simulations of HCOOH and related trace gases, and our
understanding of their budgets.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Formic acid (HCOOH) is, along with acetic acid (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH), the dominant
carboxylic acid in the troposphere. Both are major sources of atmospheric
acidity, and together they can contribute <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 60 % of the free
acidity in precipitation in remote areas and <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 30 % in more
polluted regions (Andreae et al., 1988; Galloway et al., 1982; Keene et
al., 1983; Keene and Galloway, 1984). HCOOH can also be a significant sink
for in-cloud OH radical concentrations (Jacob, 1986), and is
therefore key to atmospheric aqueous-phase chemistry through its effects on
oxidant levels, pH-dependent reaction rates, and solubilities. Recent work
has shown that the atmospheric abundance of HCOOH is substantially larger
than can be explained based on current understanding of its budget
(Cady-Pereira et al., 2014; Le Breton et al., 2012; Paulot et al., 2011;
Stavrakou et al., 2012), implying the existence of a large missing source,
or a dramatic sink overestimate. Here, we employ a chemical transport model (GEOS-Chem CTM) to interpret a combination of recent airborne and
ground-based measurements in terms of the constraints they provide on the
atmospheric biogeochemistry of HCOOH.</p>
      <p>HCOOH is produced in the atmosphere during the photochemical oxidation of
biogenic and anthropogenic volatile organic compounds (VOCs), and is emitted
directly through a variety of processes. Photochemical production is thought
to be the largest global source of HCOOH, but the magnitude is highly
uncertain. For instance, Paulot et al. (2009a) recently
estimated the HCOOH yield from isoprene at 10 % under NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-dominated
conditions, 5–10<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> higher than standard chemical mechanisms had
implied. HCOOH is also emitted directly from vegetation in a light- and
temperature-dependent manner (Kesselmeier et al., 1998; Kesselmeier and
Staudt, 1999), although the flux is bi-directional, so that the net effect
can be emission or uptake depending on the ambient concentration
(Kesselmeier, 2001; Kuhn et al., 2002). Other emission sources include
biomass and biofuel burning (e.g., Goode et al., 2000), soils
(e.g., Sanhueza and Andreae, 1991), agriculture
(e.g., Ngwabie et al., 2008), and fossil fuel
combustion (e.g., Kawamura et al., 1985; Talbot et al., 1988).
Radiocarbon studies in Europe have shown that atmospheric HCOOH is mainly
composed of modern carbon, even in winter, which would suggest that the
fossil fuel contribution (via emission of precursors or of HCOOH itself) is
minor (Glasius et al., 2000, 2001).</p>
      <p>Heterogeneous sources have also been proposed. For example, HCOOH can be
rapidly produced in cloud water from the reaction of hydrated formaldehyde
with OH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>(aq)</mml:mtext></mml:msub></mml:math></inline-formula> (Jacob, 1986; Lelieveld and Crutzen, 1991). However,
formate itself is also rapidly oxidized by OH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>(aq)</mml:mtext></mml:msub></mml:math></inline-formula>, and as a result
evasion of HCOOH to the gas phase would only be expected for moderately
acidic clouds (pH <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5) (Jacob, 1986). In addition, HCOOH
production has been observed during organic aerosol aging in the laboratory
(Eliason et al., 2003; Molina et al., 2004; Pan et al., 2009; Park et
al., 2006; Vlasenko et al., 2008; Walser et al., 2007), raising the question
of whether this is also important in the ambient atmosphere
(Paulot et al., 2011). With a
continental organic aerosol source of approximately 150 TgC yr<inline-formula><mml:math 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> globally
(Heald et al., 2010), a large HCOOH yield from aerosol
oxidation would be needed to have a major impact on its overall budget
(given a recent top-down HCOOH source estimate of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 TgC yr<inline-formula><mml:math 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>;
Stavrakou et al., 2012).</p>
      <p>HCOOH is soluble in water, with an effective Henry's law constant of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> M atm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at pH 7 (Sander, 2015),
and is efficiently removed from the atmospheric boundary layer through wet
and dry deposition. On the other hand, photochemical oxidation of HCOOH
proceeds relatively slowly (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 days), so its
effective lifetime in the free troposphere is considerably longer than it is
in the boundary layer. Irreversible uptake on dust is another minor sink
(e.g., Hatch et al., 2007; Paulot et al., 2011), and the overall
atmospheric lifetime of HCOOH has been estimated at approximately 2–4 days
(Chebbi and Carlier, 1996; Paulot et al., 2011; Stavrakou et al., 2012).</p>
      <p>Recent advances in remote sensing (Cady-Pereira et al., 2014; Stavrakou
et al., 2012; Zander et al., 2010) and in situ (Baasandorj et al., 2015;
Le Breton et al., 2012; Liu et al., 2012; Veres et al., 2011; Yuan et al.,
2015) measurement capabilities have led to the realization that atmospheric
HCOOH concentrations are much too high to be consistent with present
estimates of the source and sink magnitudes. In turn, this points to a key
gap in present understanding of the atmospheric reactive carbon budget. A
number of missing sources have been proposed to explain this discrepancy,
related to vegetation (Le Breton et al., 2012; Paulot et al., 2011;
Stavrakou et al., 2012), fires (Paulot et al., 2011; R'Honi et al.,
2013), anthropogenic VOCs (Le Breton et al., 2012),
and photooxidation of organic aerosols
(Paulot et al., 2011). In this
paper, we employ measurements from a suite of recent airborne and
ground-based studies to shed light on this issue and derive a better
understanding of atmospheric HCOOH. These studies were carried out over the
US Southeast during summer 2013 as part of the Southeast Nexus study (SENEX;
<uri>http://www.esrl.noaa.gov/csd/projects/senex/</uri>), the Southern
Oxidant and Aerosol Study (SOAS; <uri>http://soas2013.rutgers.edu/</uri>),
and the St. Louis Air Quality Regional Study (SLAQRS;
Baasandorj et al., 2015). Both SENEX and SOAS were part of
the larger Southeast Atmosphere Study (SAS; <uri>http://www.eol.ucar.edu/field_projects/sas</uri>). As we will
show, the ensemble of observational constraints imply that (i) biogenic HCOOH
sources are currently underestimated and predominate the HCOOH budget, and
(ii) there is an undefined and widespread chemical source of HCOOH from a range
of different precursor species.</p>
</sec>
<sec id="Ch1.S2">
  <title>Simulation of atmospheric HCOOH</title>
<sec id="Ch1.S2.SS1">
  <title>Model overview</title>
      <p>We use the GEOS-Chem global 3-D CTM (<uri>http://www.geos-chem.org</uri>) to
simulate HCOOH and related chemical species for 2013. The model runs employ meteorological data from the GEOS-5 Forward Processing (GEOS-FP) Atmospheric Data Assimilation System, which have a native resolution of 0.25<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
latitude <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.3125<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude and 72 vertical levels. For
the present analysis we degrade the resolution to 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> with 47 vertical levels and use a 15 min transport
time step.</p>
      <p>GEOS-Chem uses the TPCORE advection algorithm of Lin and Rood (1996), convective transport computed as described by Wu et al. (2007), and the non-local boundary layer mixing scheme of
Lin and McElroy (2010). Wet deposition of HCOOH and other
gases proceeds as described by Amos et al. (2012), and dry deposition is
based on a standard resistance-in-series parameterization (Wang et al.,
1998; Wesely, 1989). The chemical mechanism used here is as described
elsewhere (Fischer et al., 2012; Mao et al., 2010, 2013a, b; Paulot et al., 2011), with a number of updates and
modifications detailed below. Emissions relevant to the simulation of HCOOH
are also described below. Further details on the GEOS-Chem model can be
found at <uri>http://www.geos-chem.org</uri>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Global distribution of HCOOH sources in the GEOS-Chem
base-case simulation. Note nonlinear color scale.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f01.png"/>

        </fig>

      <p>Figure 1 shows the global distribution of HCOOH sources in our base-case
simulation. These include 51.0 Tg yr<inline-formula><mml:math 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> from the photochemical oxidation of VOCs
and 10.5 Tg yr<inline-formula><mml:math 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> from direct emissions, and are computed as described next.
Sinks include wet <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> dry deposition (29.8 Tg yr<inline-formula><mml:math 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> wet; 20.8 Tg yr<inline-formula><mml:math 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> dry),
photochemical loss (9.5 Tg yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and dust uptake (1.2 Tg yr<inline-formula><mml:math 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>).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Emissions</title>
      <p>Global anthropogenic emissions of CO, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in GEOS-Chem
use the Emissions Database for Global Atmospheric Research (EDGAR) 3.2-FT2000 inventory (Olivier et al.,
2005), while anthropogenic VOC emissions are from the Reanalysis of the Tropospheric Chemical Composition (RETRO) inventory
(Schultz et al., 2007) implemented as described by Hu et al. (2015a). Over North America, these
inventories are overwritten by the US EPA's National Emissions Inventory (NEI) 2005 (<uri>www.epa.gov/ttnchie1/net/2005inventory.html</uri>) and by Environment Canada's
National Pollutant Release Inventory (NPRI)
(<uri>www.ec.gc.ca/inrp-npri/</uri>). Emissions from open and
domestic biomass burning are based on the version 3 of the Global Fire Emissions Database (GFED3) for 2011
(van der Werf et al., 2010) and on Yevich and
Logan (2003), respectively. In all cases, HCOOH emissions are
estimated by scaling those of CO to observed HCOOH <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CO emission ratios,
following Paulot et al. (2011).
Because GFED3 is not available for 2013, individual fire plumes are removed
from the model-measurement comparisons as described later.</p>
      <p>Recent measurements in London, UK (Bannan et al., 2014),
imply an anthropogenic HCOOH <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CO emission ratio of 1.22 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> mol mol<inline-formula><mml:math 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>, 6<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> higher than the value used here based on Talbot
et al. (1988). However, given a direct CO source from fossil
fuels of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 Tg yr<inline-formula><mml:math 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> globally
(Duncan et al., 2007), even this newly
reported emission ratio would imply a corresponding HCOOH source of
<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 Tg yr<inline-formula><mml:math 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 direct anthropogenic HCOOH source is thus very small
compared to the other sources shown in Fig. 1.</p>
      <p>Direct emissions of HCOOH and other VOCs (including isoprene and
monoterpenes) from terrestrial vegetation are estimated using version 2.1 of the Model of Emissions of Gases and Aerosols from Nature (MEGANv2.1) (Guenther et al., 2012), implemented in
GEOS-Chem as described by Hu et al. (2015b).
Bottom-up biogenic VOC flux estimates can vary significantly depending on
the land cover, meteorology, and forest canopy parameterization used to
compute the emissions. Here we employ monthly mean leaf area indices derived
from MODIS observations (Myneni et al., 2007; leaf area index (LAI) of year 2008 for all
ensuing years), vegetation coverage for 15 plant functional types from
version 4 of the Community Land Model (CLM4;
Oleson et al., 2010), and the
Parameterized Canopy Environment Emission Activity (PCEEA) algorithm described by Guenther et al. (2006).
The version 2.1 of the Model of Emissions of Gases and Aerosols from Nature (MEGANv2.1) emissions are then derived using the same GEOS-FP
meteorological fields that drive GEOS-Chem. HCOOH and other compounds
undergoing bi-directional exchange are treated as described by Millet et al. (2010) and Guenther et al. (2012).
Marine VOC emissions, along with direct HCOOH
emissions from agriculture and soils, are treated as described previously
(Paulot et al., 2011).</p>
      <p>Figure 1 shows the resulting global distribution of direct HCOOH emissions
from terrestrial vegetation (2.7 Tg yr<inline-formula><mml:math 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>), soils <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> agriculture (5.9 Tg yr<inline-formula><mml:math 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>),
anthropogenic sources (0.4 Tg yr<inline-formula><mml:math 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>; includes domestic biofuel), and open fires
(1.5 Tg yr<inline-formula><mml:math 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>).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Photochemical production of HCOOH</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Ozonolysis of terminal alkenes</title>
      <p>A number of prevalent atmospheric VOCs contain a terminal alkene moiety,
including ethene, propene, isoprene, MACR, MVK, and many of the monoterpenes
(e.g., <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, <inline-formula><mml:math display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-limonene, camphene, sabinene, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-ocimene,
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-phellandrene, and myrcene). Ozonolysis of such compounds leads to
an energy-rich [CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO]* Criegee intermediate, along with a carbonyl
compound. In the case of ethene (Atkinson et al.,
2006):</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=199.169291pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g01.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?></p>
      <p>The nascent energy-rich Criegee intermediate can then undergo prompt
unimolecular decomposition, or collisional stabilization to yield a
stabilized Criegee intermediate (SCI):</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=142.26378pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g02.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?></p>
      <p>The lifetime of stabilized CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO is long enough that it can undergo
bimolecular reactions with a range of atmospheric compounds (Hasson et
al., 2001; Hatakeyama and Akimoto, 1994; Neeb et al., 1996,
1997; Newland et al., 2015; Stone et al., 2014; Su et al., 2014; Vereecken
et al., 2012; Welz et al., 2012, 2014). In particular, the
reaction with water vapor leads to hydroxymethyl hydroperoxide (HMHP)
(Hasson et al., 2001; Neeb et al., 1996, 1997):</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=142.26378pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g03.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \hack{\newline\noindent}?>
which is known to decompose heterogeneously to HCOOH <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
(Neeb et al., 1997; Orzechowska and Paulson, 2005).
While it is uncertain how readily this occurs in the atmosphere  (Lee et
al., 1993; Sauer et al., 2001; Valverde-Canossa et al., 2006;
Weinstein-Lloyd et al., 1998), photooxidation of HMHP is likely to produce
HCOOH in high yield as well (Neeb et al., 1997; Paulot et al., 2011;
Stavrakou et al., 2012). For this work we assume prompt conversion of HMHP
to HCOOH. This simplification may slightly overestimate HCOOH production
from the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO SCI, but an offsetting factor is that there are a number
of atmospheric compounds containing terminal alkene groups that are not
explicitly represented in the GEOS-Chem chemical scheme.</p>
      <p>Estimates of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O rate coefficient
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vary widely. Stone et al. (2014) inferred an upper limit
of 9 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with a best
estimate of 5.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> based on
relative rate considerations. On the other hand, Newland et al. (2015) derived a value for <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of
(1.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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 the base-case
simulations in this work, we employ <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> following version 3.2 of the Master Chemical Mechanism (MCMv3.2) (Jenkin et al., 1997;
Saunders et al., 2003). We also carry out separate sensitivity analyses
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>5.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and 1.<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to test how current uncertainty in this
parameter affects our results. Reaction of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO with the water dimer
may also be significant in the atmosphere (Chao et al., 2015),
and likewise leads to HMHP production (Ryzhkov and Ariya, 2003).
However, we do not include such chemistry here, since (as will be seen) the
above sensitivity runs already span conditions where CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO removal is
dominated by reaction with water to form HMHP.</p>
      <p>In addition to the sinks above, recent work has found that the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO
SCI can be lost by reaction with HCOOH and other carboxylic acids, and by
self-reaction. Reactions between SCIs and carboxylic acids are treated as
described later (Sect. 2.4). In the case of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO self-reaction,
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> rate coefficient was estimated at (4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> by Su et al. (2014),
which is close to the gas kinetic collision value.
However, subsequent work by the same group gives a lower value of (8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (Ting et al.,
2014), which agrees with two other recent estimates of (6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (Buras
et al., 2014) and (7.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (Chhantyal-Pun et al., 2015). The
base-case simulations presented here do not include the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO
self-reaction; rather, we include a separate sensitivity run based on the
Ting et al. (2014) rate to assess the potential impact of this chemistry
on atmospheric HCOOH.</p>
      <p>We employ here a stabilized CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO yield of 0.37 from ethene ozonolysis
(Atkinson et al., 2006). Alam et al. (2011) reported a higher value of 0.54,
but more recent work by the same group gives a revised estimate of 0.37
(Newland et al., 2015), in agreement with the IUPAC
recommendation. For propene, which is grouped with higher alkenes in the
GEOS-Chem mechanism, we use an SCI yield of 12 % for each of the two
possible Criegee intermediates (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHOO) based on MCMv3.2 (Jenkin
et al., 1997; Saunders et al., 2003). Ozonolysis of isoprene, its oxidation
products, and 2-methyl-3-buten-2-ol (MBO), and the associated SCI chemistry,
is also implemented following MCMv3.2. Treatment of monoterpenes is
described below.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Alkyne oxidation</title>
      <p>Oxidation of acetylene (or other terminal alkyne) by OH leads to formic acid
through formation of a peroxy radical that can then decompose to HCOOH plus
an acyl radical, or to a dicarbonyl plus OH  (Bohn
et al., 1996; Hatakeyama et al., 1986):</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=170.716535pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g04.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?></p>
      <p>Paulot et al. (2011) found
acetylene (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to be the dominant non-biogenic precursor of
formic acid in their simulations. We use in GEOS-Chem branching ratios of
0.364 and 0.636 for the acid and dicarbonyl channels, respectively, in
acetylene oxidation  (Bohn et al., 1996; Hatakeyama et al., 1986; Jenkin
et al., 1997; Saunders et al., 2003).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <title>Isoprene oxidation by OH</title>
      <p>The HCOOH yield from OH-initiated isoprene oxidation is uncertain. The
OH-isoprene oxidation scheme employed here is based on the work of Paulot et
al. (2009a, b; 2011), updated to account for peroxy radical
isomerization reactions  (Crounse et al., 2011, 2012).
Pathways leading to HCOOH in this mechanism (aside from the ozonolysis
reactions) include photooxidation of glycoaldehyde and hydroxyacetone
(Butkovskaya et al., 2006a, b), degradation of isoprene nitrates  (Paulot et al.,
2009a), and oxidation of isoprene epoxides  (Paulot et
al., 2009b).</p>
      <p>Figure S1 in the Supplement shows the resulting production rate of HCOOH over North America in
GEOS-Chem. The total source from isoprene (including ozonolysis plus OH
chemistry) over this domain corresponds to an average molar yield of 13 %
(2.6 % on a per-carbon basis), and accounts for nearly half of the overall
photochemical HCOOH source in the model. Globally, isoprene oxidation
accounts for <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 45 % of the total HCOOH burden in the
GEOS-Chem base-case simulation.</p>
      <p>Evidence for direct HCOOH production from glycoaldehyde and hydroxyacetone
as reported by Butkovskaya et al. (2006a, b)
(and implemented here) is mixed. Orlando et al. (2012) did not find
evidence for any significant HCOOH production from these compounds within
the range of atmospherically relevant NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations. Earlier work
by Jenkin et al. (1993) on the Cl-atom-initiated oxidation
of hydroxyacetone attributed the observed HCOOH production to secondary
chemistry that would only be relevant to chamber conditions. Excluding the
HCOOH source from glycoaldehyde and hydroxyacetone in the model reduces the
global photochemical HCOOH source by over one-third, and (as will be seen)
substantially increases the magnitude of the implied missing source.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <title>Monoterpene oxidation</title>
      <p>HCOOH can be produced during OH-initiated oxidation and ozonolysis of
monoterpenes (Larsen et al., 2001; Lee et al., 2006a, b;
Orlando et al., 2000). The corresponding mechanisms and yields are not well
quantified, and the overall effect on atmospheric HCOOH will vary with the
mixture of monoterpenes at hand. For the simulations here we employ a single
lumped monoterpenes species, with molar HCOOH yields of 15.5 % (OH
chemistry) and 7.5 % (ozonolysis)
(Paulot et al., 2011). This
results in an HCOOH source of 9.8 Gmol over the domain of Fig. S1, 18 %
of the model source from isoprene. Globally, monoterpenes account for
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 % of the HCOOH burden in the base-case simulation.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <title>Keto-enol tautomerization</title>
      <p>Andrews et al. (2012) studied the photolysis of C-1
deuterated acetaldehyde (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CDO), and observed formation of its isomer
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>DCHO. Modeling of the photo-isomerization implied that upon
absorbing a photon, the initially excited acetaldehyde undergoes keto-enol
tautomerization (as shown here for the non-deuterated molecule):</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=199.169291pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g05.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?></p>
      <p>This in turn suggested that a fraction of the enol could be collisionally
deactivated to form stable vinyl alcohol. Their best estimate for the vinyl
alcohol quantum yield (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mtext>enol</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was 21 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4 %. Subsequent
work  (Clubb et al., 2012) observationally confirmed the
formation of vinyl alcohol during acetaldehyde irradiation.</p>
      <p>As the photooxidation of vinyl alcohol can lead to formic acid  (Archibald
et al., 2007; So et al., 2014), we include acetaldehyde tautomerization in
GEOS-Chem to gauge its potential importance for atmospheric HCOOH. There are
likely to be two offsetting pressure effects on <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mtext>enol</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>: (i) competition between the photo-tautomerization reaction and collisional
deactivation of the initially excited acetaldehyde molecule, and (ii) competition between collisional stabilization of the enol and dissociation.
Since we lack quantitative constraints on either, we assume here a 21 %
quantum yield for enol production, with no pressure (or temperature)
dependence. The subsequent photochemical oxidation of vinyl alcohol is then
described according to the theoretical rate coefficients derived by So et
al. (2014).</p>
      <p>However, theory also suggests that HCOOH and other carboxylic acids (as well
as other species) can effectively catalyze the reverse tautomerization of
vinyl alcohol back to acetaldehyde (da Silva, 2010; Karton, 2014).
Including the photo-tautomerization of acetaldehyde as well as the
acid-catalyzed reverse reaction (applying the rate derived by da Silva (2010) for both formic and acetic acids), we find that
the vinyl alcohol pathway accounts for 15 % of the global HCOOH burden in
the model.</p>
      <p>As shown in Fig. S2, a consequence of this chemistry is that the
efficiency of acetaldehyde tautomerization as a source of atmospheric HCOOH
is inversely related to the abundance of HCOOH itself. HCOOH therefore
buffers its own production by this mechanism; keto-enol tautomerization can
provide a major fraction of the secondary HCOOH source when HCOOH
concentrations are low, but it becomes negligible at higher levels of HCOOH.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS6">
  <?xmltex \opttitle{CH${}_{{3}}$O${}_{{2}}$ $+$ OH}?><title>CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH</title>
      <p>The rate coefficient for the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH reaction was recently
measured at (2.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (Bossolasco et al., 2014), based on the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption cross section reported by Faragó et al. (2013). While the 2–3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> uncertainty in that
cross section (Atkinson and Spillman, 2002; Faragó et al., 2013;
Pushkarsky et al., 2000) propagates onto the derived CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH
rate, the value derived by Bossolasco et al. (2014) is large
enough that OH would represent an important CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sink in low-NO
environments (Fittschen et al., 2014).</p>
      <p>The potential implications of this chemistry for HCOOH and other species
hinge on the reaction products, which are not known. Archibald et al. (2009) proposed three possible reaction paths – H-atom
abstraction to yield a Criegee intermediate, O-atom transfer to yield an
alkoxy radical, and nucleophilic substitution to yield an alcohol:</p>
      <p><?xmltex \hack{\vspace*{1\baselineskip}}?><?xmltex \igopts{width=170.716535pt}?><inline-graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-g06.pdf"/>.
<?xmltex \hack{\vspace*{1\baselineskip}}?></p>
      <p>In the first case, CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO can go on to produce HCOOH as discussed
earlier.</p>
      <p>To test the possible importance of this chemistry for atmospheric HCOOH, we
carried out a sensitivity simulation using the reported CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>
OH rate coefficient  (Bossolasco et al., 2014) and assuming that
the reaction takes place exclusively via H-atom abstraction. The resultant
CI is then treated in the same way as in the case of ethene ozonolysis.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Sinks of HCOOH</title>
      <p>Wet and dry deposition are the predominant sinks for HCOOH in the model, and
these are computed as described earlier. Photochemical oxidation of HCOOH by
OH is treated using the current IUPAC recommendation of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HCOOH</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 4.5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>13</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>
(Atkinson et al., 2006).</p>
      <p>While the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO SCI can be a source of HCOOH, recent work by Welz et
al. (2014) suggests that SCIs in
general can also provide a sink of HCOOH and other carboxylic acids, with
SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> RCOOH rate coefficients in excess of 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (i.e., approaching the collision limit). The reaction
of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO with HCOOH occurs in competition with the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O reaction that leads to HCOOH production. As with the
acetaldehyde–vinyl alcohol system, HCOOH can thus be seen as buffering
against its own production from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO. We performed a separate
sensitivity simulation to evaluate the potential role of this chemistry for
the atmospheric HCOOH budget, with results described in Sect. 4.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Atmospheric observations of HCOOH and related species</title>
      <p>Here, we compare model results with recent airborne and ground-based
measurements over North America to derive a better understanding of the
HCOOH budget and potential missing sources. Measurements include the SENEX
aircraft campaign (<uri>http://www.esrl.noaa.gov/csd/projects/senex/</uri>) over the US Southeast, the
SOAS study (<uri>http://soas2013.rutgers.edu/</uri>) at the Southeastern Aerosol Research and Characterization (SEARCH)
(<uri>http://www.atmospheric-research.com/studies/SEARCH/index.html</uri>)
Centreville site near Brent, Alabama, and the SLAQRS  study
(Baasandorj et al., 2015) in Greater Saint Louis, MO–IL. Flight
tracks and site locations are shown in Fig. 2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>HCOOH mixing ratios in the summertime boundary layer as
simulated by GEOS-Chem. Plotted is the June–September mean for <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 800 hPa. Also shown are the SENEX flight tracks (in black) and the SOAS and
SLAQRS ground site locations (grey square and circle, respectively).
</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f02.png"/>

      </fig>

      <p>HCOOH was measured by chemical ionization mass spectrometry during each of
the above campaigns, with analytical details as described by Brophy and
Farmer (2015) for SOAS and Baasandorj et al. (2015) for SLAQRS. Two groups measured HCOOH on-board the WP-3D
aircraft during SENEX: the University of Washington, with details described
by Lee et al. (2014), and NOAA CSD as described by Neuman
et al. (2002, 2010). For 1 min average data over the campaign, the
two data sets agree with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.90, a major axis slope of 0.89 (NOAA vs. UW),
and a mean relative error of 11 %. We use here the University of
Washington data set, but the conclusions are not significantly altered if the
NOAA CSD data set is used instead.</p>
      <p>Additional chemical measurements shown below for SENEX include VOCs by
proton transfer reaction-mass spectrometry (de Gouw and Warneke,
2007), CO by vacuum ultraviolet resonance fluorescence
(Holloway et al., 2000), HCHO by laser-induced
fluorescence (Cazorla et al., 2015; DiGangi et al., 2011; Hottle et al.,
2009; Kaiser et al., 2014) as well as NO and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by chemiluminescence
(Pollack et al., 2010; Ryerson et al., 2000). Additional measurements
shown for SLAQRS include VOCs by proton transfer reaction-mass spectrometry
(Baasandorj et al., 2015; Hu et al., 2011), and CO by gas chromatography
with a reducing compound photometer (Kim et al.,
2013).</p>
      <p>During SOAS, VOCs were measured by gas chromatography-mass spectrometry
(Gilman et al., 2010), while
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was measured by photolytic conversion to NO with subsequent
detection via chemiluminescence in excess ozone (CLD). The limit of
detection (LOD) for NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during SOAS was 0.1 ppb, while precision was
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>4 % at an overall propagated uncertainty of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>15 %.
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements during SOAS employed a pressure and temperature
compensated UV absorption instrument (TEI-49i; Thermo Scientific, Franklin,
MA 02038, USA), with absolute calibration based on the known absorption
coefficient for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 254 nm. The LOD for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during SOAS was 1.2 ppb,
precision was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 %, and overall uncertainty was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>6 %.
HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was determined by difference during SOAS, with one instrument
channel measuring NO via CLD (as for NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> above) downstream of a
350 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C Mo converter that quantitatively reduces ambient HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
to NO, and the other channel measuring NO downstream of a
Na<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-coated (1 % in deionized water) denuder that removes
nearly 100 % of ambient HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The channels switch every 10 s. During
SOAS, the LOD for HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was 60 pptv, precision was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>14 %, and
the overall uncertainty was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>17 %. SOAS also included mixing height
measurements via lidar (CHM 15k Nimbus ceilometer; Jenoptik AG, 07743 Jena,
Germany). The measurement is based on photon counting of back-scattered
pulses of near–IR light (1064 nm), and we assume here that the aerosol layer
detected closest to the ground represents the mixing height. The measurement
precision was <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>4 % at an overall uncertainty of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>13 %.</p>
<sec id="Ch1.S3.SS1">
  <title>Distribution of HCOOH over North America</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Vertical profiles of HCOOH and related species</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Vertical profiles of HCOOH and related species during summer
over the US Southeast. Measurements from the SENEX campaign are plotted in
black, and are compared to simulated concentrations from GEOS-Chem (in red)
sampled along the flight track at the time of measurement. Horizontal lines
show the standard deviation of concentration in each altitude bin. Fresh
biomass burning (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CN <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 225 ppt) and pollution
(NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.4 or NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 4 ppb) plumes
have been removed prior to plotting. Separate lines are shown for the
simulated abundance of MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR plus isoprene
hydroxyhydroperoxides (a.k.a. ISOPOOH), which can interfere with MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR
measurements  (Liu et al., 2013).
</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f03.png"/>

          </fig>

      <p>Figure 3 shows average vertical profiles of HCOOH and an ensemble of related
chemical species as measured over the US Southeast during SENEX. HCOOH
mixing ratios average <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 ppb near the surface, decreasing
to 0.25–0.7 ppb in the free troposphere. The measured concentrations
approach those of HCHO (mean of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 ppb near the surface),
which is a ubiquitous oxidation product of isoprene and many other VOCs. The
high observed HCOOH concentrations indicate that this compound is a major
component of the reactive carbon budget, and (if secondary in origin) a
central product of VOC oxidation in the atmosphere.</p>
      <p>Also shown in Fig. 3 are predicted concentrations from the GEOS-Chem
base-case simulation described above. Here and elsewhere, the model has been
sampled along the aircraft flight track at the time of measurement. We see
that the mean vertical profiles of CO, isoprene, the sum of methyl vinyl
ketone and methacrolein (MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR; both are isoprene oxidation products),
formaldehyde (HCHO), total monoterpenes (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Σ</mml:mi></mml:math></inline-formula>MONOT), and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are
all well captured by the model. GEOS-Chem underpredicts CO in the free
troposphere, consistent with a low model bias in the CO background
(Kim et al., 2013), but otherwise the vertical
profiles are in good agreement with observations, in terms of both magnitude
and shape.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Simulated HCOOH binned and plotted as a function of the
observed concentrations during the SENEX campaign over the US Southeast.
Simulated values are shown as a stack plot, with HCOOH from the oxidation of
isoprene (green), other biogenics (blue), and other sources (red) adding to
give the total model amount. Vertical lines show the standard deviation of
the simulated abundance in each bin.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f04.png"/>

          </fig>

      <p>Conversely, simulated concentrations of HCOOH are dramatically low relative
to the aircraft data, averaging only <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ppb near the surface.
A similar issue is apparent for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH. In addition to the boundary
layer bias, we see for both acids a major model underestimate in the free
troposphere: above 600 hPa, observed concentrations for both species average
0.25 ppb or more, whereas those in the model are a factor of 10 less at
10–40 ppt.</p>
      <p>The comparisons shown in Fig. 3 do not provide any indication of a major
bias in the simulated emissions of isoprene, monoterpenes, or other HCHO
precursors that could come close to explaining the observed discrepancy for
HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH. Likewise, overly vigorous boundary layer ventilation
is untenable as an explanation, based on the accurate model profile shapes
for the non-acid species, as well as the fact that both acids are biased low
in the model throughout the vertical column. The aircraft measurements
clearly demonstrate that some aspect of the model HCOOH budget is seriously
in error, and this supports other recent studies based on satellite and
in situ measurements (Cady-Pereira et al., 2014; Paulot et al., 2011;
Stavrakou et al., 2012). Since the sources of HCOOH are thought to be mainly
secondary in nature, this points to a significant gap in our current
understanding of hydrocarbon oxidation chemistry. In the next section we
apply tracer–tracer relationships measured and simulated during SENEX to
shed light on potential missing terms in the HCOOH budget.
<?xmltex \hack{\newline}?></p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Relationship between HCOOH and other chemical
tracers</title>
      <p>Figure 4 shows the simulated HCOOH mixing ratios during SENEX from (i) isoprene oxidation, (ii) other
exclusively biogenic sources, and  (iii) all other
sources, binned and plotted as a function of the observed HCOOH amount.
“Other sources” include photochemical production of HCOOH from primary VOCs
with anthropogenic or mixed origins (e.g., ethene) as well as direct HCOOH
emissions from non-biogenic sources. We see in the figure that when the
measured HCOOH concentrations are high, isoprene oxidation is the
predominant model source. By itself, this is not clear evidence that the
high observed HCOOH concentrations arise from isoprene oxidation, since the
modeled HCOOH from isoprene is strongly correlated  with that from other
biogenic sources (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.92). On the other hand, the sole secondary HCOOH
source in the model that is purely anthropogenic (acetylene oxidation) has
only a weak correlation (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.29) with the HCOOH observations.</p>
      <p>The strongest correlation between HCOOH and the extensive array of other
chemicals observed during SENEX, aside from other carboxylic acids, is with
methanol, with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.70 for the entire data set and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.68 within the
planetary boundary layer (PBL; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&gt;</mml:mo></mml:mrow></mml:math></inline-formula> 800 hPa).  An independent analysis
(de Gouw et al.,   2014) concluded that methanol
variability during SENEX was dominated by emissions from the terrestrial
biosphere, and this is consistent with findings from other studies (Hu et
al., 2011; Millet et al., 2008b; Stavrakou et al., 2011;   Wells et al., 2012, 2014). The observed HCOOH–methanol relationship thus
provides an additional indication that biogenic sources are driving the
abundance of atmospheric HCOOH over this region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Source partitioning of atmospheric HCOOH based on a
regression against methanol (as a biogenic tracer) and MEK (as a
predominantly anthropogenic tracer) during the SENEX aircraft campaign. The
figure shows the resulting attribution of the measured HCOOH abundance
(black) to biogenic (green) and other (anthropogenic <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> background; red)
sources.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f05.png"/>

          </fig>

      <p>Figure 5 shows a source attribution of atmospheric HCOOH based on multiple
regression of the SENEX observations against concurrent measurements of
methanol (as a biogenic tracer) and methyl ethyl ketone (MEK; as an
anthropogenic tracer), and with the intercept set to the lowest HCOOH
concentrations observed during the campaign (0.01 quantile; 0.1 ppb). MEK
exhibits the strongest correlation with HCOOH of any anthropogenic tracer
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.42 within the PBL). While MEK is known to have some biogenic sources
(de Gouw et al., 1999; Jordan et al., 2009; Kirstine et al., 1998;
McKinney et al., 2011), it is thought to be mainly produced from the
oxidation of butane and other anthropogenic hydrocarbons (Jenkin et al.,
1997; Saunders et al., 2003). As we will see later, observations during
SLAQRS in Greater St. Louis imply a significant anthropogenic contribution
to atmospheric MEK in that location. We use it here as an anthropogenic
tracer; to the degree that MEK is affected by biogenic sources, the
associated anthropogenic HCOOH source fraction may be overstated.</p>
      <p>We see in Fig. 5 that the resulting regression captures 74 % of the
variance in atmospheric HCOOH, and on average attributes 86 % of the
observed HCOOH abundance to biogenic sources and less than 15 % to other
sources. A bootstrap analysis gives 95 % uncertainty ranges of 82–90 %
and 10–18 % for the mean biogenic and other contributions, respectively,
while the variance inflation factor (VIF <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5) shows that the
regression is not unduly affected by multicollinearity. Here we have
transformed (squared) the methanol concentrations to give a linear
relationship with HCOOH, using instead the untransformed data yields a
smaller biogenic fraction (69 %) but a slightly degraded fit.</p>
      <p>The above considerations point to biogenic VOC oxidation (or conceivably
direct biotic emissions) as the largest source of atmospheric HCOOH over
this part of North America. However, these findings leave room for a
comparable per-reaction yield of HCOOH for both biogenic and anthropogenic
VOCs, when one considers the emission disparity between the two. Biogenic
VOCs have been estimated to account for approximately 88 % of the total
(anthropogenic <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> biogenic) VOC flux from North America in carbon units
(Millet et al., 2008a), comparable to the mean biogenic contribution to
HCOOH derived above. In fact, similar amounts of HCOOH (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 ppb)
were recently observed during wintertime in the Uintah Basin (Utah,
US), where hydrocarbon reactivity is dominated by alkanes and aromatics
associated with oil and gas operations, and during summertime in Los Angeles
(CA, US), where isoprene and unsaturated anthropogenic compounds make up the
major part of the reactivity
(Yuan et al.,
2015). Production of HCOOH (and likely other carboxylic acids) appears
therefore to be a ubiquitous feature of atmospheric hydrocarbon oxidation
across a range of precursor types.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Drivers of temporal variability in HCOOH</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>SOAS ground site, Alabama</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Timeline of chemical and meteorological measurements during
the SOAS campaign (June–July 2013) near Brent AL, USA. The measured
concentrations of HCOOH in black are compared to the simulated values in
red.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f06.png"/>

          </fig>

      <p>Figure 6 shows concentrations of HCOOH and related species measured at the
SOAS ground site in Alabama during June and July 2013. This site is located
in a mixed deciduous forest 8 km from the small cities of Brent and
Centreville (combined population 7700). HCOOH concentrations ranged from
near-zero to more than 10 ppb during the SOAS study, with strong diurnal
fluctuations. The GEOS-Chem simulation is unable to reproduce the dynamic
range seen in the measurements, and exhibits a low bias (on average
3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>) that is consistent with the SENEX comparisons above.</p>
      <p>We also see in Fig. 6 substantial day-to-day variability in atmospheric
HCOOH driven by meteorological shifts. HCOOH concentrations are generally
elevated during the warm and sunny conditions that prevailed for much of the
period shown in the figure, but drop dramatically during cooler and cloudy
days (e.g., 185–189). As shown in Fig. 6, these patterns mirror a number
of other biogenic (e.g., methanol) and secondary (e.g., MEK, HNO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
compounds measured at the site. In fact, the strongest HCOOH correlation at
SOAS is seen for HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.78, followed closely by methanol at
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.74, likely reflecting their common drivers of variability –
sunlight-driven production and surface uptake/deposition.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Diurnal cycle of HCOOH and related species as measured
during SOAS. Error bars indicate <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 (thick) and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 (thin)
standard errors about the observed mean (points).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f07.png"/>

          </fig>

      <p>Figure 7 shows mean diurnal cycles for HCOOH and selected other tracers over
the entire SOAS campaign. In the case of HCOOH, we see a pronounced morning
increase that parallels that of isoprene and appears to slightly precede
that of MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR. Following a peak in the afternoon, HCOOH concentrations
drop throughout the evening and night at a rate intermediate between O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The GEOS-Chem simulation does not reproduce this large
diurnal amplitude: HCOOH concentrations are overestimated at night, the
prompt morning increase seen in the data is delayed and much too weak,
daytime concentrations are underestimated, and the strong evening decline is
not captured.</p>
      <p>Errors in the model mixing heights may contribute to the above
discrepancies, but cannot be the main explanation. We see in Fig. S3 that
the GEOS-FP mixing heights for this location are generally too high during
the day, and at times appear too low at night. The daytime bias will
exacerbate the model HCOOH underestimate at that time; however, the HCOOH
discrepancy is too great to be rectified by a 30–50 % mixing height
correction. Furthermore, a model underestimate of the nocturnal boundary
layer depth should lead to an overprediction of near-surface HCOOH
deposition and depletion at night, whereas we see in Fig. 7 a clear
underprediction of this sink.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Nighttime measurements of HCOOH and related species over the
US Southeast. Top panel: timeline of HCOOH and altitude measurements during
a SENEX flight on the night of 1–2 July. The HCOOH trace is colored by time
of day. Middle left: map of the SENEX flight track over TN and AL with the
same color coding. The location of the SOAS ground site is indicated by the
grey square. Also plotted (in green) is the percentage tree cover according
to CLM4  (Oleson et al., 2010).
Remaining panels: vertical profiles of HCOOH and related species as measured
(black) and simulated (red) during this flight. Horizontal lines show the
standard deviation of concentration in each altitude bin. Fresh biomass
burning (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CN <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 225 ppt) and pollution (NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.4 or NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 4 ppb) plumes have been removed
prior to plotting. Separate lines are shown for the simulated abundance of
MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR plus isoprene hydroxyhydroperoxides (aka ISOPOOH),
which can interfere with MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR measurements  (Liu et al.,
2013).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f08.png"/>

          </fig>

      <p>The prompt early-morning HCOOH increase seen during SOAS would seem to
implicate direct emissions rather than photochemical production, since the
rise occurs simultaneously with that of isoprene. However, we believe this
behavior is partly driven by a combination of residual layer entrainment and
increasing photochemical production over the course of the morning. The top
panel of Fig. 8 shows HCOOH measurements during a nighttime SENEX flight
on 2 July 2013 over Alabama and Tennessee. In the vicinity of the SOAS site,
HCOOH concentrations aloft are 1.5–2.7 ppb, whereas concentrations at the
ground drop to near-zero over the course of the night due to deposition
within the shallow surface layer. This elevated residual layer HCOOH is then
entrained into the HCOOH-depleted air at the surface as the mixed layer
develops after sunrise. We see similar behavior in Fig. 7 for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. In a further manifestation of this dynamic, SOAS featured several
nights with simultaneous enhancements of HCOOH and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> associated with
episodic downmixing of residual layer air.</p>
      <p>Figure 8 (bottom panels) also shows mean vertical profiles for HCOOH and
other VOCs measured during the same SENEX night flight. We see an inverted
HCOOH vertical profile at night, due to surface uptake, that is not present
in the model. The same model-measurement disparity is apparent for
MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR, HCHO, and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH, though to a lesser degree. We thus have
a reversal of the vertical gradient of HCOOH and other oxygenated VOCs
between the day and night. This progression can be seen in the top panel of
Fig. 8: early in the evening (prior to 183.10 UTC), low-altitude flight
segments are accompanied by elevated HCOOH, and vice versa. Later in the
night, the situation has reversed, with the high altitude segments generally
associated with more elevated HCOOH concentrations.</p>
      <p>The model's inability to capture the evening HCOOH decline (Fig. 7) and
the nocturnal vertical gradient (Fig. 8) implies (i) a substantial
underestimate of the HCOOH surface sink, or (ii) overly vigorous model mixing
with overlying air during the night (thus replenishing HCOOH from aloft).
The former could arise for dynamical (e.g., an overestimate of the
aerodynamic and quasi-laminar resistances to deposition) or chemical (e.g.,
consumption of HCOOH by SCIs or other species) reasons. However, it cannot
be due to an underestimate of the surface resistance for HCOOH itself, since
as shown in Sect. 4.3 replacing the HCOOH deposition velocity with that
for HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> does not resolve the model bias in this regard.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Diurnal amplitude of HCOOH, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR during SOAS. Left column: mean diurnal cycle of these species
as measured (black) and modeled (red) over the course of the campaign. Right
column: comparison of the mean modeled versus measured nighttime (19:00–06:00 LST) decay rates for the same species, plotted on a logarithmic scale.
Numbers inset give the major axis slope with 95 % confidence interval.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f09.png"/>

          </fig>

      <p><?xmltex \hack{\newpage}?>Figure 9 compares the modeled and measured nocturnal (19:00–06:00 LST) decay
of HCOOH, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR as an average over
the SOAS field campaign. Data are plotted on logarithmic axes; the slope
then estimates the model <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> observed ratio of deposition loss frequencies
(assuming deposition is the dominant process driving the nighttime decline).
We see that the effect of deposition on the ambient nighttime HCOOH
concentrations is underestimated in the model by a factor of 4–5. However, a
similar bias is apparent for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. This suggests a general dynamical bias
in the model rather than anything particular to HCOOH, or, perhaps, a
chemical sink for both O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and HCOOH in surface air. A possibility for
the latter is terpenoids that consume O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, generating SCI that can then
consume or produce HCOOH. Figure 9 also shows that, unlike HCOOH and
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, the model slope for MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR is only 30 % lower than observed.</p>
      <p>Overall, we see a strong diurnal cycle in HCOOH at the surface, driven by
depletion in a shallow surface layer at night, and entrainment of
HCOOH-enriched residual layer air plus photochemical production/direct
emissions during the day. These dynamics are not captured by the model, but
there is inconsistency in model performance for HCOOH and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> versus
MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR. Improved constraints on surface uptake is a major need to
improve our understanding of oxygenated VOCs and other trace gases. If dry
deposition of HCOOH is in fact underestimated by the model, the magnitude of
its missing source becomes proportionately larger.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>SLAQRS ground site, Greater St. Louis,
Missouri–Illinois</title>
      <p>The SLAQRS study (August–September 2013) was based in East St. Louis, IL, within the
Greater Saint Louis metropolitan area. The edge of the Ozark Plateau, one of
the global hotspots for isoprene emission (and referred to as the “isoprene
volcano”;  Wiedinmyer et al., 2005) lies
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 35 km to the south and west of the site. To the north and
east lie the predominantly non-isoprene-emitting agricultural landscapes of
northern Missouri, southern Illinois, and Iowa. As Fig. 10 shows, the
transport regime during the study shifted between northeasterly winds (or
stagnant conditions) with low isoprene concentrations, and southwesterly
winds that brought heavily isoprene-impacted air masses into the city (up to
8 ppb of isoprene transported from the Ozarks). Because of these regime
shifts the site provides a unique opportunity for examining the role of
biogenic VOCs in a polluted urban area.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Timeline of chemical measurements during the SLAQRS
campaign (August–September 2013) in Greater St. Louis MO–IL, USA. Green shading
indicates time periods with southwesterly winds (180–270<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; wind speed <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5 m s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from the Ozark
Plateau.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f10.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Diurnal cycle of HCOOH and related chemicals during SLAQRS
as a function of wind direction, with time of day (LST) plotted radially.
Plots generated using open air  (Carslaw and Ropkins, 2012).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f11.png"/>

          </fig>

      <p>Figure 11 shows the mean diurnal cycle as a function of wind direction for a
number of species measured during SLAQRS. We see the highest concentrations
of anthropogenic compounds such as CO and benzene when winds are from the
northeast (partly reflecting an association with low wind speeds). On the
other hand, elevated amounts of isoprene and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR are specifically
associated with southwesterly winds. Peak concentrations occur at night
because of rapid daytime photooxidation during transit from the Ozarks.</p>
      <p>Also plotted in Fig. 11 are HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH. In both cases we see
high concentrations (several ppb) from all sectors, but the highest amounts
clearly occur with the southwesterly winds that also bring elevated isoprene
and other biogenic oxidation products. HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH are
longer lived than isoprene and MVK<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>MACR and are not depleted to the same
degree during transport; concentrations thus typically peak in the late
afternoon rather than at night.</p>
      <p>The hottest conditions during SLAQRS occurred with southwesterly winds,
raising the question of whether the above HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH
enhancements merely reflect accelerated chemistry at high temperatures, or a
correlating dynamical effect (e.g., stagnation) rather than a biogenic
origin. An examination of two other compounds with a substantial (acetone)
to dominant (MEK) secondary anthropogenic source, and comparable
photochemical lifetimes to HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 day at OH <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> molec cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, reveals that this is not the case. While we
do see higher amounts of acetone and MEK with southwesterly winds (Fig. 11), the diurnal cycle is strikingly different than HCOOH and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH.
Here, the concentrations peak following the morning and evening rush hours
along with CO and toluene (Fig. S4), rather than in the late afternoon.</p>
      <p>The SLAQRS data set is thus consistent with SENEX and SOAS in pointing
towards a major biogenic source of formic and acetic acids. However, while
the highest ambient levels are clearly linked to biogenic sources,
concentrations of several ppb are seen even when isoprene is low. This is
consistent with other measurements in urban areas (e.g., Le Breton et
al., 2012; Veres et al., 2011) and in an oil and gas producing area
(Yuan et al.,
2015). The overall indication is of a ubiquitous chemical source of HCOOH
(and likely other carboxylic acids) across a range of precursors. Since
biogenic emissions dominate the reactive carbon budget, they would then also
provide the bulk of the precursor material for HCOOH and related compounds.
<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Potential importance of other HCOOH source and sink pathways</title>
      <p>In this section we examine the sensitivity of atmospheric HCOOH to a range
of other possible source and sink pathways, and assess the potential
importance of each in light of the large budget gaps discussed above.</p>
<sec id="Ch1.S4.SS1">
  <title>SCI reaction with carboxylic acids</title>
      <p>Recent advances in synthesizing and detecting SCIs (Taatjes et al., 2008;
Welz et al., 2012) have enabled significant (and quickly evolving) progress
in understanding their atmospheric chemistry. For instance, SCIs may also
provide a sink as well as a source of HCOOH and other carboxylic acids: Welz
et al. (2014) measured rate
coefficients for a set of SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HCOOH and SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH reactions
and derived values ranging from 1.1–5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>. Based on their results, we performed a sensitivity
simulation that includes this chemistry with rate coefficients of 1.1, 2.5,
and 1.0 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>, respectively,
for the reaction of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO, CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHOO, and other SCIs with carboxylic
acids. This chemistry has the effect of both increasing the sink and
decreasing the source of HCOOH, since fewer SCIs go on to produce carboxylic
acids. However, we find that the overall effects are modest. Globally, the
relative importance of chemical loss and deposition as HCOOH sinks is
shifted slightly, with the former increasing by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 11 % and
the latter decreasing by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 % compared to the amounts in
Fig. 1. The overall HCOOH source is diminished slightly (4 %). Figure 12
shows that the SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> carboxylic acid chemistry reduces the mean simulated
HCOOH abundance in surface air by 10–20 % for SENEX and SOAS relative to
the base model. We also find that this chemistry cannot explain the rapid
nighttime decay of HCOOH observed during SOAS: the rate of decline is not
significantly changed from the base-case slope in Fig. 9.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Sensitivity of atmospheric HCOOH to selected sources and
sinks in GEOS-Chem. Shown in black is the mean HCOOH vertical profile
observed during SENEX (top panel) and the mean HCOOH diurnal cycle observed
during SOAS (bottom panel). Colored lines show the corresponding simulated
amounts from GEOS-Chem for selected sensitivity runs described in the text.
Base: base-case simulation; SCI<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>Acids: including reactions between SCIs
and carboxylic acids  (Welz et
al., 2014); Incr Dry Dep: setting the HCOOH dry deposition velocity equal to
that of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>; CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>OH: including reaction between
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and OH  (Bossolasco et al., 2014) with a 100 %
yield of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO; No GLYC/HAC: excluding HCOOH from isoprene-derived
glycoaldehyde and hydroxyacetone. Grey lines show example model adjustments
that can fit the mean observed SENEX profile. Solid grey: scaled source from
isoprene oxidation (3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> base-case); dot-dashed grey: scaled source
from direct biogenic emissions (26<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> base-case); dotted grey: scaled
source from isoprene (1.8<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> base-case) combined with a ubiquitous
chemical source of HCOOH; dashed grey: scaled source from isoprene
(2.3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> base-case) combined with a 56 % CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO yield from
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH. See text for details.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f12.png"/>

        </fig>

      <p>Along with these atmospheric implications, the Welz et al. (2014) findings may also imply
that reported HCOOH yields from laboratory ozonolysis studies are biased low
(particularly for experiments done under dry conditions), due to suppression
of secondary organic acids by SCIs.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>SCI reaction with water vapor and self-reaction</title>
      <p>The predominant sink of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO SCI in our base-case simulation is
reaction with water vapor, and estimates of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> rate
coefficient vary by 2–3 orders of magnitude (Newland et al., 2015; Stone
et al., 2014). However, we find that replacing our default rate
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>;  Jenkin et
al., 1997; Saunders et al., 2003) with recent higher (1.3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>;  Newland et al.,
2015) and lower (5.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>;
Stone et al., 2014) estimates has a negligible impact on the simulated
HCOOH budget. This is because the competing model sinks for CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO
(SO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, NO, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> – rates follow MCMv3.2; Jenkin et al., 1997;
Saunders et al., 2003) are sufficiently slow that reaction with water
dominates, even at <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">OO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>5.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>18</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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 the same reason, including the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO
self-reaction at 8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>
(Ting et al., 2014) has no appreciable effect on the simulated
distribution of HCOOH.</p>
      <p>It is worth pointing out, however, that Welz et al. (2012) and
Stone et al. (2014) were not able to directly measure the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O rate coefficient, instead reporting an upper limit (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 9<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>, respectively). If the actual rate is significantly
slower than the values applied here (or the rates for
competing SCI reactions are faster; e.g., Welz et al., 2012) then the role
of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O as a source of HCOOH would decrease. Likewise,
the importance of the SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> carboxylic acid reactions above will depend
directly on the rate of competing SCI <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> water vapor reactions.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Dry deposition</title>
      <p>The strong temporal decline (Fig. 9) and vertical gradient (Fig. 8) of
HCOOH at night measured during SOAS and SENEX are not captured by the model,
perhaps indicating an underestimate of the HCOOH deposition velocity. To
test whether this is the case, we carried out a sensitivity analysis with
the HCOOH deposition velocity for each time and model location set to the
corresponding value computed for HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (a highly soluble gas that
undergoes rapid and irreversible deposition). This leads to a 5 % drop in
the global HCOOH burden and a 20–25 % decrease in the mean surface air
concentrations simulated for SENEX and SOAS (Fig. 12). However, we also
see in Fig. 12 that the rapid nighttime decrease is still not captured by
the model, and the corresponding decay rate is statistically unchanged from
the base-case simulation (Fig. 9). It therefore is not feasible to rectify
this issue simply based on the modeled HCOOH surface resistance to
deposition. This, combined with the fact that the nighttime decay in O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
during SOAS is underestimated by a similar amount, suggests a more general
dynamical bias in the model related to the diurnal cycle of boundary layer
mixing (or possibly a vigorous nighttime chemical sink for both species).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <?xmltex \opttitle{Additional sources of HCOOH\,$:$\,HCHO $+$ HO${}_{{2}}$, CH${}_{{3}}$O${}_{{2}}$ $+$ OH}?><title>Additional sources of HCOOH <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> HCHO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH</title>
      <p>Reversible addition of HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HCHO produces the HOCH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO radical,
which can go on to form HCOOH  (Jenkin et al.,
2007). We find that implementing this chemistry in the same manner as Paulot
et al. (2011) leads to a
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 % global increase in the photochemical source of HCOOH.
Because of the strong temperature dependence of the reverse reaction
(Atkinson et al., 2006), the HCOOH increase manifests
mainly in the upper troposphere where its lifetime is long, and the increase
in the simulated global burden (17 %) is thus larger than that in the
source. Simulated concentrations in the lower free troposphere and in the
boundary layer are not significantly affected by the HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> HCHO
reaction, and the model-measurement comparisons discussed above are
statistically unchanged compared to the base-case run.</p>
      <p>On the other hand, the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH reaction is a major potential
lever on the atmospheric abundance of HCOOH, depending on the reaction
products. Including this reaction at the recently reported rate of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</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:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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>
(Bossolasco et al., 2014), and assuming that the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO
Criegee intermediate is formed with 100 % yield, leads to a <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> increase in the simulated global burden of HCOOH. The free
tropospheric HCOOH bias seen in the base-case simulation during SENEX is
eliminated (Fig. 12). However, the HCOOH source from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>
OH is spatially diffuse and cannot account for the enhanced boundary layer
concentrations measured during SOAS, SENEX, or SLAQRS. The daytime model
underestimate during SOAS is reduced while the nighttime overestimate is
increased (Fig. 12), and there is a slight degradation in the model
correlation with the airborne SENEX data set (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.66) compared to the
base-case run (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.71).</p>
      <p>The above impacts depend both on the rate of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH
reaction and on the product yields, which have yet to be directly measured.
Here we have assumed that the reaction proceeds exclusively through
H-abstraction to yield CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO, and this was shown to have a large impact
on the atmospheric HCOOH budget. However, other reaction pathways are
possible: O-atom abstraction to yield CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and S<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:math></inline-formula>2
substitution to yield CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OH <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Archibald et al., 2009;
Fittschen et al., 2014). The former would lead immediately to HCHO
production (as in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO pathway), while if the latter
dominates it would require a major revision to present understanding of the
global methanol budget (Millet et al., 2008b; Stavrakou et al., 2011;
Wells et al., 2014). The CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO yield for the analogous CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl reaction has been estimated at 50 %
(Jungkamp et al., 1995; Maricq et al., 1994)
to 90 % (Daële and Poulet, 1996), while that for the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> BrO reaction was recently estimated at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 % (Shallcross et al., 2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Vertical profiles of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH and the
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH ratio over North America. Shown are the mean measured
(black) and simulated (colored) values during the INTEX-A
(Singh et al., 2006) and INTEX-B
(Singh et al., 2009) flight campaigns. Red lines show
results from the GEOS-Chem base-case simulation, while the blue lines show
results from a sensitivity run that includes the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH
reaction at <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</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:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> (Bossolasco et al., 2014). Horizontal lines indicate
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 (thick) and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 (thin) standard errors about the mean.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/6283/2015/acp-15-6283-2015-f13.png"/>

        </fig>

      <p>In any case, based on the Bossolasco et al. (2014) results,
oxidation of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by OH would be an important reaction in low-NO
environments where we would otherwise expect CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> HO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to
predominate, yielding CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Figure 13 shows mean vertical
profiles of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH and the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH ratio for two aircraft
campaigns where such data are available (INTEX-A and INTEX-B; Lee et
al., 1995; Singh et al., 2006; Singh et al., 2009). We see that including
the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH reaction at 2.8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> s<inline-formula><mml:math 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> degrades the model simulation of both CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH and
the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH relationship for these data sets. This suggests
either that the reported CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH rate is too high, or the
presence of some offsetting model error in the base-case run. Clearly, this
chemistry has the potential to significantly alter our understanding of
several key chemical budgets, and developing better constraints on the
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH rate coefficient and the resulting products should be
a high priority for future research.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <title>Isoprene chemistry</title>
      <p>Oxidation of glycoaldehyde and hydroxyacetone provides the largest
isoprene-derived HCOOH source in the model, and our representation of this
chemistry is based on the findings of Butkovskaya et al. (2006a, b). However, more recent work has
failed to detect any significant HCOOH production by these pathways
(Orlando et al., 2012). Excluding this source in the model decreases
the mean surface concentrations during SENEX by 40–45 % (Fig. 12), and
approximately doubles the model-measurement discrepancy (i.e., regression
slope) seen during this campaign. This would imply an even larger missing
source of atmospheric HCOOH than is otherwise required.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Discussion and implications</title>
      <p>The analyses above clearly show a major model underestimate of HCOOH (and
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>COOH) sources, a finding supported by other recent work (Le
Breton et al., 2012; Stavrakou et al., 2012; Veres et al., 2011; Yuan et
al., 2015). The fact that these organic acids are present in such large
amounts in the continental troposphere, with sources that from available
evidence are mainly photochemical, implies that some central aspect of the
atmospheric VOC oxidation chain is not currently understood.</p>
      <p>Based on the observed patterns of variability and tracer–tracer correlations
discussed earlier, we infer that the missing HCOOH sources have a majority
biogenic component. However, elevated HCOOH amounts are seen even in
anthropogenically dominated air masses, and in the free troposphere,
suggesting that other processes are also at play. To illustrate the
magnitude of the inferred missing source, Fig. 12 shows (in grey) four
example model adjustments that can fit the mean observed SENEX profile.
These were derived by regressing the model-measurement residuals against the
simulated source contributions to atmospheric HCOOH.</p>
      <p><list list-type="bullet">
          <list-item>
            <p>Explaining the boundary layer HCOOH measured during SENEX based solely on isoprene oxidation requires a <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>
increase in the model HCOOH yield (which is 13 % is the base-case simulation) as shown in Fig. 12 (solid grey line). Accommodating such
a large HCOOH yield would require a significant revision to other product yields in order to conserve carbon in the isoprene oxidation chain.</p>
          </list-item>
          <list-item>
            <p>Alternatively, explaining the SENEX observations solely on the basis of direct biogenic emissions of HCOOH would
require on the order of a 26<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> increase in its biotic flux. Extrapolating this over the North American domain
of Fig. S1 yields HCOOH emissions that are 27 % those of isoprene on a mass basis (8 % on a carbon basis).
However, we see in Fig. 12 that of these first two scenarios neither can explain the elevated free tropospheric
concentrations of HCOOH, nor can they account for the high HCOOH seen during low-isoprene periods in SLAQRS and in
the Uintah Basin during winter  (Yuan et al., 2015).</p>
          </list-item>
          <list-item>
            <p>An increased biogenic source of HCOOH (direct or secondary from isoprene/monoterpenes) plus some contribution
from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH (yielding CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO and subsequently HCOOH) could potentially explain the SENEX
profile. For example, the dashed grey line in Fig. 12 shows the mean simulated HCOOH profile resulting from a 2.3<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>
increase in the source from isoprene and a 56 % CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO yield from CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH (or equivalently
a 100 % CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>OO yield and a 44 % reduction in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</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:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>; Bossolasco et al., 2014). We are still
left, however, with substantial anthropogenic HCOOH enhancements (e.g., as observed recently in St. Louis, London, and Utah)
that cannot be explained by a diffuse source that is most important at low NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>.</p>
          </list-item>
          <list-item>
            <p>Figure 12 also shows the model HCOOH profile that would result from an increase in the source from isoprene
combined with ubiquitous HCOOH production throughout the VOC oxidation cascade. Here, a 1.8<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> increase in the
HCOOH yield from isoprene and an aggregate weighted yield of 2 % from the ensemble of RO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO reactions achieves an approximate fit to the mean SENEX profile.</p>
          </list-item>
        </list>Overall, it appears that an increased HCOOH source from isoprene (or other
biogenic source) combined with a widespread chemical source across a range
of precursor types is most tenable as an explanation for the full suite of
available atmospheric observations.</p>
      <p>There are a number of key sources of uncertainty that need to be resolved to
close the HCOOH budget and thus improve our overall understanding of VOC
chemistry in the atmosphere. (i) The role of isoprene, and of other biogenic
compounds such as monoterpenes, in HCOOH production needs to be quantified.
There is conflicting laboratory evidence for the importance of
glycoaldehyde/hydroxyacetone chemistry in this context, and as we have seen
this has major implications for the HCOOH budget. As shown above, available
atmospheric observations leave room for a substantially larger HCOOH source
from isoprene oxidation than the <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13 % used here as
base case (and which includes production from glycoaldehyde and
hydroxyacetone). The analyses here cannot segregate isoprene oxidation from
some other correlating HCOOH source such as direct surface emissions or
terpene oxidation. In fact, Stavrakou et al. (2012) postulated on the basis of satellite
observations from the Infrared Atmospheric Sounding Interferometer (IASI)   that terpenoid emissions from boreal
forests were a large source of atmospheric HCOOH. However, given the
magnitude of the required HCOOH source inferred here, isoprene as (by far)
the largest source of reactive carbon to the atmosphere appears a probable
candidate. (ii) The atmospheric chemistry of SCIs (in particular their rates of
reaction with water vapor) needs to be better constrained in order to define
their importance as carboxylic acid sources and sinks, and as oxidants of
other critical atmospheric species (e.g., SO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. (iii) Reaction between
CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and OH (Bossolasco et al., 2014) could be of
significant importance for atmospheric chemistry, with implications for a
number of key chemical budgets. Including this chemistry degrades the model
simulation of CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH, though this might
reflect some offsetting model error (e.g., in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH lifetime).
Reducing the uncertainty in the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> OH reaction rate, and
determining the product yields, is a high priority for future research.
(iv) Finally, we have seen here that GEOS-Chem cannot capture the impact of
deposition on surface air concentrations of HCOOH. A similar issue is seen
for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, which may imply a common dynamical or chemical issue rather
than a deposition underestimate specific to HCOOH. In any case, developing a
more robust representation of surface deposition (and associated boundary
layer coupling) is needed to improve our understanding of land–atmosphere
interactions and our ability to relate observed concentrations to sources.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-15-6283-2015-supplement" xlink:title="pdf">doi:10.5194/acp-15-6283-2015-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>This research was supported by the National Science
Foundation (grants #1148951 and 0937004) and by the Minnesota
Supercomputing Institute. We are indebted to Jean-François Müller,
John Orlando, Carl Percival, Andrew Rickard, Paul Shepson, Domenico
Taraborrelli, and Paul Wennberg for a number of illuminating discussions
that benefited this work. We thank John Holloway, Thomas Hanisco, Glenn
Wolfe, and Frank Keutsch for providing CO and HCHO measurements during
SENEX, as well as Ron Cohen, Bill Brune, David Tan, and Brian Heikes for
providing NO, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH measurements during INTEX-A and
INTEX-B. SOAS measurements used here were performed at the Centreville, AL,
SEARCH site, which is funded by Southern Company and EPRI. We thank Bob
Yantosca for his work developing compatibility for GEOS-FP within GEOS-Chem.
We also thank Jay Turner as well as Dhruv Mitroo and the rest of the ACT Lab
at WUStL for their help during the SLAQRS deployment. BJW acknowledges the
US EPA Science to Achieve Results (STAR) program (grant #R835402) for
support during SLAQRS. HCHO measurements during SENEX were also supported by
EPA STAR (grant  #83540601). This research has not been subjected to any
EPA review and therefore does not necessarily reflect the views of the
Agency, and no official endorsement should be
inferred.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by:  J. Williams</p></ack><ref-list>
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