<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-19-15691-2019</article-id><title-group><article-title>Wintertime spatial distribution of ammonia and its emission sources in the Great Salt Lake region</article-title><alt-title>Wintertime spatial distribution of ammonia</alt-title>
      </title-group><?xmltex \runningtitle{Wintertime spatial distribution of ammonia}?><?xmltex \runningauthor{A. Moravek et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff8">
          <name><surname>Moravek</surname><given-names>Alexander</given-names></name>
          <email>amoravek@yorku.ca</email>
        <ext-link>https://orcid.org/0000-0003-4342-8173</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Murphy</surname><given-names>Jennifer G.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8865-5463</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff9">
          <name><surname>Hrdina</surname><given-names>Amy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lin</surname><given-names>John C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2794-184X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pennell</surname><given-names>Christopher</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Franchin</surname><given-names>Alessandro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Middlebrook</surname><given-names>Ann M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2984-6304</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5 aff10">
          <name><surname>Fibiger</surname><given-names>Dorothy L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Womack</surname><given-names>Caroline C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5 aff6 aff11">
          <name><surname>McDuffie</surname><given-names>Erin E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6845-6077</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Martin</surname><given-names>Randal</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7 aff12">
          <name><surname>Moore</surname><given-names>Kori</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Baasandorj</surname><given-names>Munkhbayar</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Brown</surname><given-names>Steven S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemistry, University of Toronto, Toronto, ON M5S 3H6, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Atmospheric Sciences, University of Utah, Salt Lake
City, UT 84112, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Division of Air Quality, Utah Department of Environmental Quality,
Salt Lake City, UT 84114, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Cooperative Institute for Research in Environmental Sciences (CIRES),
University of Colorado Boulder, <?xmltex \hack{\break}?>Boulder, CO 80309, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Chemical Sciences Division, NOAA Earth System Research Laboratory (ESRL), Boulder, CO 80305, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Chemistry, University of Colorado Boulder, Boulder, CO 80309, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Civil and Environmental Engineering, Utah State
University, Logan, UT 84322, USA</institution>
        </aff>
        <aff id="aff8"><label>a</label><institution>now at: Department of Chemistry, York University, Toronto, ON M3J 1P3, Canada</institution>
        </aff>
        <aff id="aff9"><label>b</label><institution>now at: Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, <?xmltex \hack{\break}?>Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff10"><label>c</label><institution>now at: California Air Resources Board, Sacramento, CA 95814, USA</institution>
        </aff>
        <aff id="aff11"><label>d</label><institution>now at: Department of Physics &amp; Atmospheric Science,
Dalhousie University, Halifax, NS B2H 4R2, Canada</institution>
        </aff>
        <aff id="aff12"><label>e</label><institution>now at: Space Dynamics Laboratory, Logan, UT 84341, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Alexander Moravek (amoravek@yorku.ca)</corresp></author-notes><pub-date><day>20</day><month>December</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>24</issue>
      <fpage>15691</fpage><lpage>15709</lpage>
      <history>
        <date date-type="received"><day>19</day><month>March</month><year>2019</year></date>
           <date date-type="rev-request"><day>21</day><month>May</month><year>2019</year></date>
           <date date-type="rev-recd"><day>19</day><month>November</month><year>2019</year></date>
           <date date-type="accepted"><day>27</day><month>November</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Alexander Moravek et al.</copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019.html">This article is available from https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e280">Ammonium-containing aerosols are a major component of wintertime air
pollution in many densely populated regions around the world. Especially in
mountain basins, the formation of persistent cold-air pools (PCAPs)
can enhance particulate matter with diameters less than 2.5 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m
(PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) to levels above air quality standards. Under these conditions,
PM<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the Great Salt Lake region of northern Utah has been shown
to be primarily composed of ammonium nitrate; however, its formation
processes and sources of its precursors are not fully understood. Hence, it
is key to understanding the emission sources of its gas phase precursor,
ammonia (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). To investigate the formation of ammonium nitrate, a
suite of trace gases and aerosol composition were sampled from the NOAA Twin Otter aircraft during the Utah Winter Fine Particulate Study (UWFPS) in
January and February 2017. <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was measured using a quantum cascade
tunable infrared laser differential absorption spectrometer (QC-TILDAS),
while aerosol composition, including particulate ammonium (<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), was
measured with an aerosol mass spectrometer (AMS). The origin of the sampled
air masses was investigated using the Stochastic Time-Inverted Lagrangian
Transport (STILT) model and combined with an <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission inventory to
obtain model-predicted <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) enhancements.
Enhancements represent the increase in <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios within the
last 24 h due to emissions within the model footprint. Comparison of these
<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements with measured <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from the Twin Otter shows that modelled values are a factor of 1.6 to 4.4 lower for the three major valleys in the region. Among these, the underestimation is largest for Cache Valley, an area with intensive agricultural activities. We find that one explanation for the underestimation of wintertime emissions may be the seasonality factors applied to <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from livestock. An investigation of inter-valley exchange revealed that transport of <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
between major valleys was limited and PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Salt Lake Valley (the
most densely populated area in Utah) was not significantly impacted by
<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the agricultural<?pagebreak page15692?> areas in Cache Valley. We found that in Salt
Lake Valley around two thirds of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> originated within the valley,
while about 30 % originated from mobile sources and 60 % from area
source emissions in the region. For Cache Valley, a large fraction of
<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> potentially leading to PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation may not be locally emitted but mixed in from other counties.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e508">Ammonia (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is a key atmospheric pollutant, with significant impacts on air quality, climate and ecosystem nitrogen availability. As the most abundant base in the atmosphere, <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is an important precursor gas for secondary aerosol particle formation. As a result, ammonium-containing aerosols may comprise a significant amount of the particulate matter with a diameter of 2.5 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m or less (PM<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>)
(Pozzer et al., 2017). High levels of PM<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> impact human health by increasing the risk for stroke, heart
disease, lung cancer, and both chronic and acute cause respiratory deceases
(WHO, 2016). Especially in urban areas, where a mix of pollutants such as
nitrogen oxides (<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), sulfur dioxide (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or volatile organic compounds (VOCs) are present in elevated concentrations alongside <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, ammonium-containing aerosol can be a major source of PM<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. For example, <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted from agricultural activities may be transported towards <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-rich urban centres to form ammonium nitrate (<inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or ammonium sulfate, <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, aerosols (e.g. Zhao et al., 2017). This illustrates the importance of the transport and meteorological conditions in mixing the precursors that lead to secondary particle
formation.</p>
      <p id="d1e664">During the winter season, cold temperatures in combination with high-pressure systems result in shallow boundary layers that trap and promote the
build-up of pollutants near the surface, leading to enhanced secondary
aerosol formation and winter smog. Episodes with strong atmospheric stability
are referred to as persistent cold-air pool (PCAP) periods
(Whiteman et al., 2014),
typically featuring a temperature inversion below the height of the
surrounding terrain. In addition, the topography of mountain basins promotes
the evolution of strong PCAP periods and thereby the confinement of
pollutants near the surface. Under these conditions, urban areas such as
Salt Lake City frequently experience high PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. In the
Great Salt Lake region in northern Utah, the 24 h US National Ambient Air
Quality Standard (NAAQS) for PM<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (35 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M36" 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>) is exceeded on average 18 d per winter
(Silcox et al., 2012; Whiteman et al., 2014). Previous measurements made in the Salt Lake Valley (SLV; Kelly
et al., 2013; Kuprov et al., 2014) and a recently published analysis of the Utah Winter Fine Particulate Study
(UWFPS) aerosol composition (Franchin et al., 2018)
agree that during PCAP periods up to 75 % of wintertime PM<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is
ammonium nitrate. The high amount of ammonium nitrate in aerosols in not
surprising given that fact that the ammonia concentration measurements in
the region are the highest within the US Ammonia Monitoring Network (AMoN)
(AMoN, 2019).</p>
      <p id="d1e714">To develop appropriate PM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mitigation strategies in such areas
where ammonium nitrate is high, it is essential to understand the mechanisms
of local ammonium nitrate formation as well as the emission source of its
precursor gases, <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. While emissions of <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are
regulated, <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not regulated as a criteria air pollutant (CAP) in
the US. As a consequence, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions are not reported by <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emitting industries or sectors to the same extent as other CAPs, resulting
in higher uncertainties of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates. In addition,
observational networks for <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are sparse compared to those for
<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which is in part related to the challenges in the measurement of
<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, improving the understanding of <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources is key
to making reliable predictions of ammonium aerosol formation and finding the
appropriate mitigation strategies for PM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e858">To understand the sources of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Great Salt Lake region, which
are responsible for ammonium aerosol formation and high levels of PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
in winter, we studied the spatial distribution of <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the three
mountain basins as part of the Utah Winter Fine Particulate Study (UWFPS, 2018). The spatial distribution of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
was measured from a Twin Otter aircraft and compared to <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements from several ground stations in the region. The main objectives
of this study are to identify the sources of <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the key emission
sectors contributing to the regional formation of ammonium aerosol. To
address these objectives, airborne measurements were compared to emission-inventory-based <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> estimates. A footprint approach based on the
Stochastic Time-Inverted Lagrangian Transport (STILT) model was used to
estimate contributions from <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source regions, while the results are
discussed for the three major valleys in the study region. Finally, the
exchange of air masses between valleys is investigated and discussed in
respect to its role for ammonium aerosol formation in the region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e951">Overview of the study area: <bold>(a)</bold> outlines of sub-regions used for
the analysis of Twin Otter measurements, <bold>(b)</bold> borders of counties which are
part of the study area, and <bold>(c)</bold> typical <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios measured from
the Twin Otter combined from a northern and southern flight leg flight on 17 and
18 January, respectively. Arrows in <bold>(c)</bold> indicate the location of ground site
measurements used for this study in northern Provo (NP), at the University of
Utah (UU) and in Logan (L4). Borders of the sub-regions are shown in <bold>(c)</bold> for
reference. Salt Lake City, the most populated area, is situated in the
northeastern part of Salt Lake Valley.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area and the Utah Winter Fine Particulate Study (UWFPS)</title>
      <p id="d1e1002">The Utah Winter Fine Particulate Study was carried out in January
and February 2017 in the Great Salt Lake region. The Great Salt Lake region
is located in northern Utah in the US western Rocky Mountains, comprised
of three major mountain valleys (Salt Lake Valley, Utah Valley, and Cache
Valley) and the Great Salt Lake (Fig. 1a). Salt Lake City, the most
populated urban area in Utah and part of the Salt Lake City metropolitan
area (1.2 million inhabitants), is situated in the northern part of Salt Lake
Valley bordering the Great Salt Lake. Cache Valley (125 000 inhabitants), north of Salt Lake Valley, is separated by a branch of the Wasatch Range from the
northern metropolitan area and is<?pagebreak page15693?> characterized by its intensive agricultural
activities, including concentrated animal feeding operations (CAFOs). The
regulatory environment of Cache Valley straddles the states of Utah and
Idaho and comes under the jurisdiction of two different US EPA (Environmental Protection Agency) regions (8
and 10). Utah Valley (575 000 inhabitants) borders Salt Lake Valley to the
south via the Traverse Mountains and features Utah Lake, a large freshwater
lake in the valley centre, and agricultural and industrial activities,
including a major gas-fuelled power plant.</p>
      <p id="d1e1005">The objective of the UWFPS was to investigate wintertime air quality in the
Salt Lake region, focusing on PCAP periods when formation of ammonium
nitrate leads to high levels of PM<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. NOAA's Twin Otter aircraft
flights and ground site observations in each valley were used to probe the
spatial distribution of trace gases and aerosols, with the aim of
identifying their importance for PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and its formation mechanisms. A
further objective of UWFPS was to investigate key emission sources of
aerosol precursors and the role of agricultural, industrial, urban, mobile,
home heating and natural emission sectors.</p>
      <p id="d1e1026">From 16 January to 12 February 2018 a total of 23 research flights were
carried out with the Twin Otter aircraft covering a total of 58.3 flight
hours. Flights were performed in a northern and southern flight pattern, where the
northern pattern covered the northern metropolitan area, Cache Valley, Bear
Valley, the Great Salt Lake, Tooele Valley and the northern part of Salt
Lake Valley. The southern leg mainly encompassed Salt Lake Valley and Utah
Valley. Figure 1 shows the region and county boundaries as well as a typical
distribution of <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios measured from the aircraft.
Measurements were taken from ground level at the Salt Lake International
Airport (1288 m, 5225 ft) through 3800 m (12 500 ft) a.s.l. when flying over inter-valley mountain ranges (Fig. S1b). The lowest cruising altitude was around 150 m (500 ft) above ground level. To probe vertical profiles near the surface, missed approaches were performed at seven different air fields throughout the region (Fig. S1b).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Airborne ammonia measurements</title>
      <p id="d1e1048">A continuous-wave quantum cascade tunable infrared laser differential
absorption spectrometer (QC-TILDAS) (Ellis et al.,
2010) was employed on the Twin Otter aircraft for measurements of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(see Fig. 2) and operated on 21 of the 23 research flights (53.6 h). The
single-laser instrument (QC-mini, Aerodyne Research Inc., MA, USA) uses a
multi-pass absorption cell (0.5 L, 76 m effective path length), which is
purged with sample air to measure <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Due to its fast time response
and high precision, the instrument is suited for aircraft measurements
(Hacker et al., 2016;
Pollack et al., 2019). The analyzer's precision can be 30 pptv at a 1 s
sampling rate under ideal ground-based operating conditions, which is
comparable to chemical ionization mass spectrometry
(Nowak et al., 2012) and
significantly more precise than fast-time-response cavity ring-down
spectrometers (<inline-formula><mml:math id="M65" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 200 pptv). Prior to installation on the Twin
Otter, the weight of the instrument could be reduced from its original value of 100
to 80 kg by using a smaller vacuum pump<?pagebreak page15694?> (SH-110, Varian Inc., MA, USA) for
generating the sample flow rate and a modified inlet design. The 4 L min<inline-formula><mml:math id="M66" 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> flow rate through the sample cell was set by the critical orifice of a PFA (perfluoroalkoxy alkane; Teflon) virtual impactor, which acted as a particulate matter filter to avoid interferences from thermally dissociated ammonium aerosol
and also to protect the cell mirrors. That thermal dissociation of ammonium
aerosol was negligible is shown by measurement periods where <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
within the instrument's detection limit despite high levels (<inline-formula><mml:math id="M68" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 20 ppbv) of measured particulate ammonium. As adsorption and desorption
processes within the inlet system are major challenges for <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements, the time response of the system was optimized by introducing
an additional bypass flow rate of 16 L min<inline-formula><mml:math id="M70" 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> to purge the inlet line
(PFA, <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">8</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> outer diameter). The winglet that housed the inlet tubing was mounted
directly above the QC-TILDAS allowing an inlet length of only 0.5 m. To
further minimize adsorption and desorption effects of <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and humidity
to the tubing wall, the winglet was heated to 40 <inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The
instrument time response can be best described by a double exponential
function (Ellis et al., 2010; Whitehead et
al., 2008), in which the fast time constant associated with the exchange of
air volume (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was 0.7 s and the slow time constant associated
with the wall effects (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was 27 s during a pre-flight test. The
so-called <inline-formula><mml:math id="M76" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> value, which reflects the proportion of the decay governed by the slow time constant, was 21 %. These numbers compare very well with the time response of the same instrument using a 15.4 L min<inline-formula><mml:math id="M77" 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> sample flow rate without a bypass during another study designed for eddy covariance flux measurements (Moravek et al., 2019).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1216">Setup of the QC-TILDAS on the Twin Otter aircraft for <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements at 1 Hz sample frequency. The commercially available QC-TILDAS
was modified using a smaller vacuum pump, a pressure controller and a custom-made PFA aerosol impactor. To achieve an optimal time response, the used
inlet line was only 0.5 m, and a bypass system was used to generate a higher
flow rate through the inlet line. The distances from the bypass to the
aerosol impactor and from the aerosol impactor to the instrument's sample
intake were also kept as short as possible (<inline-formula><mml:math id="M79" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 cm). See text for
further details on the setup.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f02.png"/>

        </fig>

      <p id="d1e1243">Variations in pressure, temperature and instrument vibrations may
significantly impact the instrument performance by influencing the
absorption spectrum fringe pattern. Optical interferences (fringes) are
periodic structures in the absorption spectrum that influence precision and
drift of the sensor if the fringes are of a wavelength comparable to the
absorption linewidth. Changes in the fringe pattern, which can be induced by
variations of pressure or temperature, may result in a drift of the <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio over time. To account for changing ambient pressures with flight altitude, a pressure controller (PC3P, Alicat Scientific Inc., AZ, USA) was installed downstream of the absorption cell, which was able to keep the cell pressure at a constant value between 48.7 and 51.3 mbar. In-flight
background measurements were performed manually approximately every 5 to 15 min to account for potential instrument drifts using zero air from ultra-zero air cylinders.</p>
      <p id="d1e1258">The precision of the instrument during the campaign was significantly
degraded from its usual performance due to difficulties with the laser
source. As a result, <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption was detected at 965.3 cm<inline-formula><mml:math id="M82" 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>
instead of using the stronger absorption line at 967.3 cm<inline-formula><mml:math id="M83" 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>. A
measurement precision at a 1 Hz sample frequency of 150 pptv (1<inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)
could be achieved, which is similar to the background noise (200 pptv) of a
QC-TILDAS that was operated by Hacker et al. (2016) on a
different aircraft. Accordingly, the limit of detection (3<inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) was 450
pptv at 1 Hz and 90 pptv for a 30 s averaging interval. Due to the effect of
increased gravitational forces and vibrations on the optical alignment, data
during take-off, landings, and spiralling ascents and descents were not used
in this study. The filtering of the <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements was performed
manually by identifying these periods through the altitude profile and then
visually inspecting individual absorption spectra for the quality of the
signal-to-noise ratio of the absorption peak. After the quality control,
38.7 h (72 %) of <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data were used for the analysis. Ascents
and descents of the missed approaches typically passed the quality test. An
example of two missed approaches at the Logan airport is shown in Fig. S2.
Next to the evidence of horizontal heterogeneity at the ground in one case
(Fig. S2a), the other case (Fig. S2b) shows that the <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratios during descents and ascents are very similar if the same air mass is
sampled. The fact that <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios during ascents are not
increased after sampling <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-rich air at the ground illustrates the
sufficient time response of the measurement system.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Airborne measurements of other trace gases and aerosols</title>
      <p id="d1e1374">The Twin Otter aircraft was equipped with an aerosol mass spectrometer (AMS,
Aerodyne Research Inc., MA, USA) to measure the chemical composition of the
non-refractory aerosol particles in the 70–800 nm range (NR-PM1)
(Drewnick
et al., 2005; Jayne et al., 2000) . The<?pagebreak page15695?> operation of the AMS during UWFPS
was described in detail in Franchin et al. (2018). In brief, ambient aerosol particles are focused in an aerodynamic
lens, evaporated, ionized with electron-impact ionization and detected by a
mass spectrometer. The AMS measured mass loadings of particulate nitrate
(<inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonium (<inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), organic species, sulfate (<inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>),
chloride (pCl) and total aerosol mass, with detection limits of 0.04, 0.09,
0.33, 0.03, 0.07 and 0.38 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. The uncertainty on
the total AMS mass concentrations was estimated to be 20 %
(Bahreini et al., 2008). Aerosol mass
with the AMS was well-correlated with aerosol volume measured with an Ultra-High Sensitivity Aerosol Spectrometer (UHSAS, Droplet Measurement
Technologies, CO, USA) on the same sampling line as the AMS.</p>
      <p id="d1e1436">Nitrogen oxides (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>), total reactive nitrogen (<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and ozone (<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were measured at 1 Hz using the NOAA nitrogen oxides cavity ring-down instrument (NOxCaRD). The instrument measures <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> directly by optical absorption at 405 nm, while NO and <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are measured in two separate channels after quantitative conversion to <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by a reaction with excess <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or NO, respectively (Fuchs et al., 2009; Washenfelder et al., 2011). A fourth channel measures <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by conversion to NO and <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in a heated quartz inlet (650 <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and subsequent conversion of NO to <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in excess <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Wild et al., 2014). Accuracies for <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were 5 % and 12 % for <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, based on previous comparisons of the <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurement to a standard <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> instrument (Wild et al., 2014).</p>
      <p id="d1e1652">A commercial probe (Avantech) measured meteorological parameters (ambient
temperature, pressure, relative humidity with respect to liquid water, wind
speed and wind direction), the global positioning satellite (GPS) location
including altitude above sea level and aircraft parameters (heading, pitch
and roll). Wind data were compromised for some flights, making only partial
coverage (65 %–95 %) available for eight flights and resulting in no wind data for six of the 23 flights. The aircraft GPS altitude above sea level was converted into altitude above ground level using USGS data
(USGS, 2017).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Ground site observations</title>
      <p id="d1e1663">During UWFPS, a series of ground measurements were conducted to measure the
evolution of trace gases, aerosols and meteorology during the pollution
episodes in the study region. Data used in this study were taken from the
University of Utah ground site (UU) in Salt Lake Valley (40.7663,
<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.8477</mml:mn></mml:mrow></mml:math></inline-formula>), the Logan ground site (L4) in Cache Valley (41.7589, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.8151</mml:mn></mml:mrow></mml:math></inline-formula>)
and the northern Provo ground site (NP) in Utah Valley (40.2528, <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.6627</mml:mn></mml:mrow></mml:math></inline-formula>)
(Fig. 1c). The Logan ground site is referred to as L4 as it is located
approximately 3 km northeast of the actual downtown federal reference site
(named L4).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1699"><inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates and measurements by region. Data
include (1) total <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates and their sector-based
proportion from the UDAQ emission inventory; (2) <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates
for Cache Valley from the USU emission inventory; (3) measured and modelled
<inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios (mean and standard deviation); (4) the ratio between
measured and modelled <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios (scaling factor). The regions
are Bear Valley (BV; Box Elder County), Cache Valley (CV; Cache
County and Franklin County), Great Salt Lake (GSL; Box Elder County,
Weber County, Davis County, Salt Lake County and Tooele County), the northern metropolitan area (NM; Davis County and Weber County), Tooele County (TC) and Utah Valley (UV; Utah County).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col7" align="center" colsep="1"><inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center" colsep="1">Mixing ratios </oasis:entry>
         <oasis:entry rowsep="1" colname="col10">Scaling factors</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center" colsep="1">UDAQ </oasis:entry>
         <oasis:entry rowsep="1" colname="col7">USU</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">Twin Otter</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">Model</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">meas</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M124" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Total</oasis:entry>
         <oasis:entry colname="col3">Area</oasis:entry>
         <oasis:entry colname="col4">Mobile</oasis:entry>
         <oasis:entry colname="col5">Non-road</oasis:entry>
         <oasis:entry colname="col6">Point</oasis:entry>
         <oasis:entry colname="col7">Total</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">meas</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">(kg d<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(%)</oasis:entry>
         <oasis:entry colname="col4">(%)</oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
         <oasis:entry colname="col6">(%)</oasis:entry>
         <oasis:entry colname="col7">(kg d<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">(ppbv)</oasis:entry>
         <oasis:entry colname="col9">(ppbv)</oasis:entry>
         <oasis:entry colname="col10">mean (median)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BV</oasis:entry>
         <oasis:entry colname="col2">3514</oasis:entry>
         <oasis:entry colname="col3">97.2</oasis:entry>
         <oasis:entry colname="col4">2.5</oasis:entry>
         <oasis:entry colname="col5">0.0</oasis:entry>
         <oasis:entry colname="col6">0.3</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.09</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.09</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.82</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">5.0 (6.3)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CV</oasis:entry>
         <oasis:entry colname="col2">4757</oasis:entry>
         <oasis:entry colname="col3">96.7</oasis:entry>
         <oasis:entry colname="col4">2.9</oasis:entry>
         <oasis:entry colname="col5">0.0</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">12 435</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.50</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.65</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.47</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">4.4 (2.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GSL</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.47</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.68</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.63</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">7.1 (12.2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NM</oasis:entry>
         <oasis:entry colname="col2">2218</oasis:entry>
         <oasis:entry colname="col3">58.8</oasis:entry>
         <oasis:entry colname="col4">21.5</oasis:entry>
         <oasis:entry colname="col5">0.3</oasis:entry>
         <oasis:entry colname="col6">19.4</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.04</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.77</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.00</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.06</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">5.0 (4.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SLV</oasis:entry>
         <oasis:entry colname="col2">2016</oasis:entry>
         <oasis:entry colname="col3">34.4</oasis:entry>
         <oasis:entry colname="col4">49.3</oasis:entry>
         <oasis:entry colname="col5">0.6</oasis:entry>
         <oasis:entry colname="col6">15.7</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.61</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.01</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.87</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.30</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.9 (1.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TC</oasis:entry>
         <oasis:entry colname="col2">1486</oasis:entry>
         <oasis:entry colname="col3">92.7</oasis:entry>
         <oasis:entry colname="col4">6.2</oasis:entry>
         <oasis:entry colname="col5">0.0</oasis:entry>
         <oasis:entry colname="col6">1.1</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.78</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.21</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.33</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">8.4 (10.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UV</oasis:entry>
         <oasis:entry colname="col2">6058</oasis:entry>
         <oasis:entry colname="col3">85.5</oasis:entry>
         <oasis:entry colname="col4">7.2</oasis:entry>
         <oasis:entry colname="col5">0.1</oasis:entry>
         <oasis:entry colname="col6">7.2</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.78</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.15</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.33</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.94</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.6 (1.2)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2419">The UU site is located on the top floor of the William Browning Building on the
University of Utah campus, which is situated on the northeast side of the
Salt Lake Valley and approximately 150 m above the valley floor. A sampling
inlet was located on top of a 7 m observation tower, at a height of 40 m a.g.l. Online measurements of ambient air PM<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> composition and gas phase precursors were performed using the University of Toronto's modified
Ambient Ion Monitoring System (AIM 9000D, URG Corp., NC, USA) coupled with two
ion chromatographs (Dionex ICS-2000, Thermo Fisher Scientific Inc., ON, Canada). The
system measures water soluble gases (<inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HNO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and
particles (<inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) at an hourly resolution using
parallel wet denuders (Markovic
et al., 2012). Continuous PM<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations were determined
using the 8500 Filter Dynamics Measurement System (FDMS) coupled with a
1400ab Continuous Ambient Particulate TEOM (tapered element oscillating microbalance) Monitor (Thermo Fisher Scientific Inc., MA, USA). Instrumental background measurements
were conducted by introducing an overflow of zero air into the AIM-IC inlet
and sampled for a 24 h period. Based on background experiments, the
3<inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> detection limits were determined to be 0.15 ppb for <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
0.3 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (at standard temperature and pressure) for <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2564">The L4 ground site was a temporary sampling station during UWFPS, located on
the Utah State University campus in Logan, employing an environmentally
controlled shelter with the inlet extending through the shelter roof to a
height of 5 m a.g.l. Ambient mixing ratios of <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were obtained with a Picarro G2508 cavity ring-down spectroscopy instrument (Picarro Inc., CA, USA). The analyzer collected on a nominal 5 s sampling frequency, which is
averaged up to 1 min sample periods. At 1 min averaging times the G2508
has a precision of <inline-formula><mml:math id="M158" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 3 ppbv and measured detection limit (3<inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of 2.3 ppb. A Teledyne API T640 measured continuous mass concentrations
of PM<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> at the L4 ground site.</p>
      <p id="d1e2625">At the NP site, mass concentration of PM<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was monitored by the Utah
Division of Air Quality using a 1405-DF TEOM Continuous Dichotomous Ambient
Air Monitor (Thermo Fisher Scientific Inc., MA, USA). No <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements
were available from this site.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>The UDAQ emission inventory</title>
      <p id="d1e2657">To better understand the formation of ammonium nitrate in the study region,
it is important to identify and quantify the major sources of <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In
northern Utah, <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from livestock, fertilizer and on-road vehicle
emissions are the most dominant <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources, according to the emission
inventory provided by the Utah Division of Air Quality (UDAQ). The Utah
emissions inventory is created by UDAQ and ultimately informs the emissions
estimates found in the US Environmental Protection Agency's National
Emission Inventory (NEI). Yearly totals of county-wide emission data for
criteria and other significant air pollutants (<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, VOC, direct
PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, direct PM<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CO and others) were
processed in the SMOKE v3.6.5 (Sparse Matrix Operator Kernel<?pagebreak page15696?> Emissions)
emissions processing software to obtain higher temporally and spatially
resolved emission estimates (Baek and Seppanen, 2018). UDAQ
uses two modelling domains: (1) a larger 4 km resolution outer domain
covering the state of Utah and portions of surrounding states and (2) a
smaller 1.33 km inner domain covering the Wasatch Range and Cache Valley,
representing the majority of the PM<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> non-attainment area in northern
Utah. Temporal allocation in SMOKE consists of defining emission
distributions through the use of monthly, weekly and hourly profiles, which
were applied to the yearly emission totals.</p>
      <p id="d1e2754">Inventory data were compiled for four distinct emission sectors: area,
non-road, mobile and point sources. Area sources are typically of larger
spatial extent than point sources, but they may also include multiple non-mobile
point sources of the same category if the individual emission of each point
source is unknown. Total estimated daily <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from each sector
are given in Table 1 for the regions in the study area. <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
in all regions are dominated by areas sources with the exception of Salt
Lake Valley, where <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from mobile sources are thought to be dominant.</p>
      <p id="d1e2790">Area sources include <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fertilizer applications,
livestock and residential wood combustion. Emissions from livestock are the
largest portion of area sources in Utah County (71 %) and Cache County
(81 %), while they are only minor in Salt Lake County (11 %). The
NEI-based <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from livestock are based on county-level animal
populations, which are multiplied by daily resolved emission factors that
are representative for each animal type and management practice. These
location-specific emission factors are produced by the Farm Emission Model
(FEM) for each day of the modelled year by taking meteorological as well as
animal type and practice input data
(McQuilling and Adams, 2015). For
the compilation of <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from fertilizer applications, a
bidirectional exchange model uses meteorological and application-based
input data. The Environmental Policy Integrated Climate (EPIC) modelling
system provides information regarding fertilizer timing, composition,
application method and amount. A bidirectional version of the Community
Multiscale Air Quality (CMAQ) model is then used to calculate county-level
emission factors which are multiplied by county-level total fertilizer
estimates to obtain <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. For both livestock and fertilizer
<inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, annual NEI emission totals were multiplied in SMOKE by
monthly, weekly and hourly profiles.</p>
      <p id="d1e2848">Non-road emissions include emissions from non-stationary sources, except
commuter automobiles. For example, non-road sources would include
construction equipment, snowmobiles, boats, trains and aircraft. Similar to
mobile emissions, non-road emissions are mainly projected using the MOVES (MOtor Vehicle Emission Simulator)
2014a model. However, the emissions from trains, aircraft and airport
ground support equipment are estimated from specific EPA-provided tools.</p>
      <p id="d1e2852">Mobile emissions were calculated and projected using the MOVES 2014a model,
which were then input into SMOKE as precomputed mobile inventory numbers.
Mobile emissions are informed by vehicle population data and
vehicle-specific emission rate information. Also, various metropolitan
planning organizations supply UDAQ with the traffic activity data that goes
into MOVES 2014a.</p>
      <p id="d1e2855">Point sources include large emitters such as oil refineries, power plants
and big mining operations. Since the vertical release height of point stack
emissions impacts air quality, the 2-D SMOKE gridded emissions output was
input into the air-quality model (CAMx 6.30), which calculates vertical
plume rise from those point source stack parameters using 42<?pagebreak page15697?> layers matching
Weather Research and Forecasting (WRF) inputs.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Modelling of ammonia concentrations using STILT</title>
      <p id="d1e2866">To account for the atmospheric transport of <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from emission sources
to the receptors of the <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement observations made during UWFPS, we used the Stochastic Time-Inverted Lagrangian Transport model (Lin
et al., 2003). STILT simulated the upstream influence by modelling the
evolution of ensembles of 200 simulation particles, each representing an air
parcel 24 h back in time. Particle ensembles are considered to be
influenced by surface fluxes when they spend time in the vertically
well-mixed surface layer (defined as 50 % of the boundary layer height).
STILT compiles a “footprint”, a flux sensitivity matrix, using the flux
sensitivity from each of the 200 trajectories. The flux sensitivity
represents the contribution of a grid cell area to the <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio per surface flux unit. To obtain footprints for the aircraft measurements,
STILT was run for every 2 min of the Twin Otter flight path for all 23
research flights. STILT was driven with gridded meteorological information
available from NOAA's High Resolution Rapid Refresh (HRRR) model
(HRRR, 2017), which covers the entire continental US. HRRR
is based upon the widely used Weather Research and Forecasting
mesoscale model (Skamarock and Klemp, 2008) and
resolves the atmosphere at 3 km grid spacing, assimilating radar
observations.</p>
      <p id="d1e2902">Model <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements (in pptv) were estimated by multiplying the flux sensitivity data (in ppmv (<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M188" 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>)<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) with the <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the UDAQ emission inventory (in <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for each grid cell. As STILT was run 24 h back in time, the modelled <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements represent the <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio contribution from surface emissions within the last 24 h. Before multiplying, the <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions were resampled to the match the spatial grid of the flux
sensitivity data (0.01<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.01<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). Modelled <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
enhancements were then obtained by summing the <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions from
each grid cell. To account for the large spatial extent of the 24 h
trajectories from the Twin Otter position, the 1.33 km inventory data were
inset into the larger 4 km inventory in order to have the maximal spatial extent but
also make use of the refined <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions of the 1.33 km emission
inventory.</p>
      <p id="d1e3097">To account for the formation of particle ammonium from emitted <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the
modelled <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> estimates were compared to measured total  <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (which is <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). Conversion to particulate ammonium is the dominant reactive sink for gas phase <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as the oxidation of <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by OH is significantly slower. Thus using <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as a passive tracer is reasonable,
however, the approach does not account for potential dry and wet deposition
of <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. As a result of this simplification, modelled <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements could be overestimated. Modelled <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements only
account for <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emitted within the past 24 h in the spatial domain of the produced <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions map and do not include <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> advected from outside that spatial domain or <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> which was present in the air shed before the 24 h period. Therefore, an estimate of background <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios was subtracted from measured <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios before comparing them to the modelled enhancements. Background mixing ratios were determined separately for each region listed in Sect. 2.1 (see Fig. 1a)
using the measured <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios data from each individual flight in the respective region. To account for varying vertical mixing between flights, the data were split into vertical layers of 50 m depth covering the
entire altitude range of the Twin Otter. The background mixing values
specific for each layer, region and flight were then determined by the
1st percentile of <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data from the Twin Otter. As shown in Fig. S15, for areas with significant <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> surface emissions, the 1st
percentile was well above the instrument's detection limit. If the
background mixing ratio was underestimated, this would lead to
unrealistically high estimates of the <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements from the
measurements. Also, we found that the results did not change significantly
by using a slightly lower (0.1st) or higher (2nd) percentile.</p>
      <p id="d1e3334">In the remainder of the text, we refer to modelled <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and measured
<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements as modelled and measured <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e3373">Time series of fine particulate matter (PM<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratios during PCAP periods over the course of the measurement
campaign from 16 January to 13 February 2017. Shown are measurements from the ground
sites <bold>(a)</bold> in Logan (L4), <bold>(b)</bold> at the University of Utah (UU) and <bold>(c)</bold> in northern Provo (NP). Blue dots represent mean <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios measured from
the Twin Otter during missed approaches (at Logan airport and northern Provo
airport) or when flying over the UU measurement site. The time frames of the
three PCAP periods during the campaign are marked as black bars.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Meteorological conditions and PCAP episodes</title>
      <?pagebreak page15699?><p id="d1e3439">Weather conditions in the Great Salt Lake region in January and February 2017 included episodes of winter storms and above-average precipitation. As
storm tracks promote vertical mixing, PCAP periods were less frequent during
UWFPS than typically observed. Within the period of the Twin Otter
measurements, two major PCAP periods were identified: PCAP#1 from 13 to
20 January 2017 and PCAP#2 from 27 January to 4 February 2017. A third
and less intense PCAP period occurred at the end of the campaign on 13 February and lasted until 18 February 2017. The strong atmospheric stability
during those PCAP periods lead to the build-up of high PM<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels for
Salt Lake Valley, Cache Valley and Utah Valley, as shown in Fig. 3. Due to
the lack of snow cover and the relatively weak subsidence inversion, the
inversion height during PCAP#1 was atypically high, reaching from about
400 up to 800 m a.g.l., before a strong storm initiated the top-down
erosion of the PCAP on 19 January. During PCAP#1, ground-level PM<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reached up to 90 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M232" 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> in Cache Valley (L4) and up to 50 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M234" 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> in Salt Lake Valley (UU), while the PCAP was only weakly developed in Utah Valley (NP) with PM<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels below 20 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M237" 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> (1 h averages). In contrast, PCAP#2 was a stronger, classic PCAP period, which was promoted by several inches of fresh snow and cold air
left by a storm that was followed by a large high-pressure period. This
resulted in PM<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> values building up in all three major valleys over
the course of the PCAP and reaching 104 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the L4, 64 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the UU and 80 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the NP sites (1 h averages). As evident in the PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> data, the PCAP started eroding in
Utah Valley first, then in Salt Lake Valley second, whereas it persisted a
few days longer in Cache Valley, which is also attributed to the deeper snow
cover in Cache Valley during January and February 2017. Compared to
PCAP#2, PCAP#3 was moderate with only the onset captured by the
aircraft flights.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Observed {$\protect\chem{NH_{3}}$} mixing ratios}?><title>Observed <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Evolution of ammonia mixing ratios near the surface</title>
      <p id="d1e3636">Ammonia mixing ratios measured at the L4 and UU ground sites (Fig. 3)
correlate with increasing PM<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels during PCAP periods,
especially at the L4 site (Fig. 3a), where <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reached up to 100 ppbv during PCAP#1 and PCAP#2. The correlation between PM<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> indicates the presence of local <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources and illustrates the strong influence of atmospheric stability on pollutant concentrations during winter. <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios show a stronger diurnal variation than PM<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Accumulation of directly emitted <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the nocturnal boundary layer leads to transient enhancements of <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios, which is for example visible in the short-term (<inline-formula><mml:math id="M256" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 12 h) <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peaks observed during nighttime at the L4 site (e.g. nights of 8–9 and 9–10 February). Although PM<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation occurs through both daytime and nighttime processes, the nighttime process is typically fast in the
residual layer and suppressed in the surface layer (McDuffie
et al., 2019; Womack et al., 2019). At the UU site, ambient <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
measurements were significantly lower than in Cache Valley, typically below
10 ppbv (Fig. 3b). Measurements are not available for PCAP#1; however,
the build-up of <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios in Salt Lake Valley is evident in the second half of PCAP#2. Increasing PM<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels mark the first half of PCAP#2, while <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios were still low between 1 and 3 ppbv. During that period, <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mainly partitioned into <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, as it
was observed by the simultaneous increase of <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (data not shown).</p>
      <p id="d1e3850">Near-surface mixing ratios were sampled from the Twin Otter aircraft during
missed approaches at regional airfields (Figs. S1 and S2). Figure 3a shows
<inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios at Logan airport, located about 3 km northwest of the L4 ground site. <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios from the Twin Otter follow the trend of the ground measurements with (1) high mixing ratios between 45 and 55 ppbv during PCAP#1, (2) medium mixing ratio levels between 20 and 25 ppbv
during the first half of PCAP#2, and (3) lower mixing ratios below 20 ppbv towards the end of the measurement campaign. The direct comparison of ground site and Twin Otter measurements was performed by averaging the Twin Otter mixing ratios within a distance of 1 km of the airport runway and
obtaining the mean ground site mixing ratios for the same time interval. As
shown in Fig. S4b, mean values from the Twin Otter are roughly a factor of
2 lower than measurements from the L4 ground site. This can be explained
by the dilution of <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios from higher altitudes, as the averaging window for the Twin Otter values partially includes <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements from the ascents and descents of the missed approaches. For that reason,
maximum values better represent the ground level mixing ratios, which is
supported by a closer correspondence with the data from the L4 site.
Furthermore, Moore (2007) and Hammond
et al. (2017) showed that mean <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations can vary spatially
across the Cache Valley by as much as an order of magnitude, depending on
the strength of adjacent sources and duration of a PCAP event. For Salt Lake
Valley, <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured at the UU site compares generally well with the
airborne <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> obtained when the Twin Otter was overflying the ground
site (Fig. 3b). The direct comparison of both measurements (Fig. S4a) shows
that airborne measurements are on average lower, attributed to the higher
altitude of the measurement and the vertical gradient of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> away from the surface.</p>
      <p id="d1e3942">The <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios at the L4 ground site were about 1 order of
magnitude larger than at the UU ground site. This compares well with the
AMoN measurements, where during the measurement period in January and
February the average <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was 2 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M278" 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> in Salt Lake City (UT97) and 16 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M280" 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> in Cache Valley (UT01). The 2017 AMoN measurements are representative for the average <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations measured between 2012 and 2018 in those months (3 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M283" 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> in Salt Lake
City and 16 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M285" 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> in Cache Valley). This shows that despite the
less frequent PCAP periods observed compared to other years, the <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations were still comparatively high during the measurement
campaign.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e4074">Frequency distribution of <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a, b)</bold> and <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c, d)</bold> mixing ratios measured from the Twin Otter in Salt Lake Valley (SLV), Cache
Valley (CV), Utah Valley (UV) and above the Great Salt Lake (GSL). The
distributions are based on mixing ratios from all research flights,
segregated into PCAP <bold>(a, c)</bold> and non-PCAP <bold>(b, d)</bold> conditions.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><?xmltex \opttitle{Prevailing {$\protect\chem{NH_{3}}$} mixing ratios in different regions from aircraft observations}?><title>Prevailing <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios in different regions from aircraft observations</title>
      <p id="d1e4140">The frequency distributions of <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios measured in Salt Lake Valley, in Cache Valley, in Utah Valley and over the Great Salt Lake are shown in Fig. 4a and b for both PCAP and non-PCAP conditions. Mixing ratios were
filtered to only include those from the lowest steady flight level (data
between 100 and 500 m a.g.l) for a better comparison between regions. The
histograms reveal that during both PCAP and non-PCAP conditions <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing were mostly below 3 ppbv above the Great Salt Lake and mostly below 5 ppbv in Salt Lake
Valley, with only a few measurements outside of those
limits. The majority of <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements in both Cache Valley and Utah
Valley were also below 5 ppbv; however, higher mixing ratios up to 20 ppbv
in Cache Valley and 10 ppbv in Utah Valley were also frequently observed.
While the distributions for all regions are similar under PCAP and non-PCAP
conditions, during PCAP conditions higher extreme values up to around 70 ppbv in both Cache Valley and Utah Valley were observed at the lowest steady
flight level, indicating the presence of local emission sources.<?pagebreak page15700?> Higher
levels up to nearly 90 ppbv were only measured during missed approaches at
the Logan airport in Cache Valley, marking it as a distinct high <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
region. In contrast to <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the frequency distributions of <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
show a clear difference between PCAP and non-PCAP periods (Fig. 4c, d), with
significantly higher <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values during PCAP conditions. This can be explained by the increased partitioning of <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into the particle phase and
build-up of ammonium nitrate over the course of the PCAP periods (Fig. 3).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Evaluation of {$\protect\chem{NH_{3}}$} emission sources}?><title>Evaluation of <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission sources</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Comparison of modelled and measured enhancements</title>
      <p id="d1e4264">To investigate <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions sources in the different regions, we
compare <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured on the Twin Otter with <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> derived from the
footprint model (see Sect. 2.5 and 2.6). Figure 5 shows an example of a
STILT flux sensitivity footprint and how it is overlaid with the UDAQ
emission inventory to obtain <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates for the locations of the Twin Otter.</p>
      <p id="d1e4311">The mean measured and modelled <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for all regions in the study area are given in Table 1, including a scaling factor which is the ratio of <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:math></inline-formula>. Figure 6 shows
the frequency distribution for modelled and measured <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for Salt Lake Valley, Cache Valley and Utah Valley for non-PCAP (panels a–c) and PCAP (panels d–f) conditions. The distributions show that the model underestimates <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in all three valleys, compared to the measurements from the Twin Otter. During non-PCAP conditions, the underestimation is most prominent in Cache Valley. During PCAP conditions the underestimation is in general more pronounced than during non-PCAP conditions. As during PCAP periods <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mainly persists as <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 3.2.2), this leads to the high
measured <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the course of the PCAP period in Salt Lake Valley and Utah Valley. Due to high local <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, in Cache Valley <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are of similar magnitude, which is why the difference between PCAP and non-PCAP periods is slightly less pronounced (see also linear scale distributions in Fig. S9).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e4446">Approach used to determine <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements by overlaying the emission sensitivity map (in ppmv (<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M315" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M316" 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>)<inline-formula><mml:math id="M317" 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>, <bold>a</bold>) with the <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the UDAQ emission inventory (in <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M320" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M321" 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>, <bold>b</bold>). The emission sensitivities were derived with STILT for every 2 min of the Twin Otter flight path for all research flights. <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement for the Twin Otter location were obtained by
summing all <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions within the spatial domain of the
<inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contribution map <bold>(c)</bold>. The <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission inventory map <bold>(b)</bold> is a composite of the 1.33 <inline-formula><mml:math id="M326" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.33 km<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> resolution emission
inventory in the centre, imbedded into the 4 <inline-formula><mml:math id="M328" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 km<inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> emission
inventory.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f05.png"/>

          </fig>

      <?pagebreak page15701?><p id="d1e4645">Lower modelled <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values may suggest an underestimation of <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the UDAQ inventory. Table 1 lists the mean measured and modelled <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios for the different regions in the study area, which were used to derive a mean scaling factor between measured and modelled values. The mean scaling factor for Cache Valley, Salt Lake Valley and Utah Valley are 4.4, 1.9 and 1.6, respectively, which reflects that modelled <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are underestimated in all three valleys. Due to the non-Gaussian distribution of both measured and modelled <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, the median scaling factors vary but still show the same trend for the underestimation of modelled <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with the highest underestimation in Cache Valley (2.7), followed by Salt Lake Valley (1.9) and Utah Valley (1.2).</p>
      <p id="d1e4715">To further discuss the discrepancies between measured and modelled <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, it is important to address the uncertainties of both measured and modelled <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which we discuss in the following section.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Uncertainties in measured and modelled mixing ratio enhancements</title>
      <p id="d1e4748">Calculations of the trajectories and footprints with the STILT model rely on
the accurate representation of meteorological conditions and
parameterizations such as the definition of the height of the surface mixed
layer, which couples the ground surface emissions to the calculated
trajectories. While we do not go in detail on the STILT parameterization and
the derived weather model (HRRR), the examination of <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements above background mixing ratios (<inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which were also measured from
the Twin Otter, confirms that the overall representation of the
meteorology is reasonable. Figures S12 and S13 show the frequency
distributions for measured and modelled <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The scaling factors
(<inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">meas</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M342" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">model</mml:mi></mml:mrow></mml:math></inline-formula>) for Cache Valley, Salt Lake Valley
and Utah Valley were 1.3, 1.0 and 0.9, respectively, which shows agreement
of measured and modelled <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for all of the three valleys. This
indicates that on average both meteorological conditions and <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
emissions are represented adequately in the model approach we used. This
interpretation relies on the assumption that both the <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emission
inventory and <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements are accurate. As particulate nitrate
(<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is only quantitatively sampled by the NOxCaRD if it enters the
inlet (not designed specifically for aerosol sampling), <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
measurements may be biased as being too low. By comparing the <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the AMS
<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (after subtracting <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and other relevant <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species),
we found that inlet sampling was effectively quantitative to within the
uncertainty in the AMS (20 %) and <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (12 %) measurements.
Furthermore, since the <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> / <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio was always fairly large
(<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula>), a significant amount of <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was present as
<inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. While the agreement in the frequency distributions is good, the
direct comparison of modelled and measured <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reveals a relatively
poor point-to-point correlation (Fig. S8). A similarly poor correlation was
found for <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S12) and also for measured and modelled <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the UU ground site (data not shown), which shows that there is no clear bias in either the STILT footprints from the Twin
Otter or in the <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inventory.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e5074">Frequency distribution of measured (blue) and modelled (red)
<inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements (<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for Salt Lake Valley, Cache Valley and
Utah Valley on logarithmic scales for <bold>(a–c)</bold> non-PCAP and <bold>(d–f)</bold> PCAP
conditions.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f06.png"/>

          </fig>

      <p id="d1e5111">Due to the finite extent of the combined UDAQ emission inventory map (Sect. 2.5), fractions of the STILT footprints may be outside of the emissions
inventory domain. For both Salt Lake Valley and Utah Valley, more than
50 % of the 24 h footprints lie completely within the inventory domain
during PCAP conditions, while only a small number have a contribution
from outside of the domain of 50 % or more. As Cache Valley is located
close to the northern border of the UDAQ emission inventory map (Fig. 1), a
larger fraction of footprints exceeded the inventory domain, with 18 %<?pagebreak page15702?> of
footprints completely within the inventory domain and 63 % of footprints
at least 50 % within the domain during PCAP conditions. However, this
effect cannot explain the large underestimation of modelled <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in
Cache Valley due to the following reasons: (1) the analysis of the STILT
trajectories (Fig. S16) showed that air masses for a majority of the extreme
measured <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in Cache Valley originated in low <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> environments (at high altitudes or areas with low <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions) and
(2) high mixing ratios were only observed in Cache Valley (see also Fig. 4),
providing evidence that measured <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was dominated by local <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
sources. Advection of high amounts of <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the north would have
also strongly affected other regions such as the Great Salt Lake, which the
measurements do not show.</p>
      <p id="d1e5193">Uncertainties of measured <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values arise from uncertainties in the measurements from the Twin Otter and uncertainties in the background determination (Sect. 2.2 and 2.3). The precision of <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios was 0.03 ppbv for a 1 min averaging period, which was used for the comparison. The uncertainty of <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is given as 20 %. Given the uncertainty in the measurements and an uncertainty of the background determination method, the distinction between small measured and modelled <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> differences is difficult. As a result, although the scaling
factors in Table 1 suggest that <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in Salt Lake Valley are
underestimated by 50 %, it is possible that part or all of the
model–measurement mismatch could be due to method uncertainties rather than an underrepresentation of <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission in the UDAQ inventory. In contrast, the large differences between measured and modelled <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Cache Valley cannot be attributed to measurement errors, and therefore it is more likely attributed to an underestimation of <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission in the UDAQ inventory in Cache Valley.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e5289">Frequency distribution of measured (blue) and modelled (red)
<inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements (<inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for Cache Valley, using enhanced livestock
emissions by a factor of 4.5 and the USU emission inventory for <bold>(a, b)</bold> non-PCAP and <bold>(c, d)</bold> PCAP conditions.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><?xmltex \opttitle{Modification of modelled {$\protect\chem{dNH_{\mathit{x}}}$} using scaling factors}?><title>Modification of modelled <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> using scaling factors</title>
      <p id="d1e5346">To investigate the effect of a possible underestimation of <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions in the UDAQ inventory on the presented <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distributions, we scaled the modelled <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by the scaling factors given in Table 1. For Cache Valley, if we assume that all the underestimation in modelled <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is due to an underestimation in livestock emissions (see Sect. 3.3.4), we can adjust the scaling factors in Table 1 to be solely applied to
area source emissions. Accordingly, the area source scaling factor for Cache
Valley is 4.55. If we apply this factor to the modelled <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Cache Valley, the range of measured and modelled <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> agrees well for non-PCAP<?pagebreak page15703?> conditions (Fig. 7a). As the same factor is applied to all modelled <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the shape of the distribution does not change significantly, and a much larger scaling factor would be necessary to reproduce measured
<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values up to 88 ppbv for the PCAP conditions (Fig. 7c). A
Mann–Whitney–Wilcoxon test was used to evaluate the agreement between the
modelled and measured <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distribution before and after applying the
scaling factor (Table S2). The increase of <inline-formula><mml:math id="M395" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values above the 0.05
significance level indicates that the distributions of modelled and measured
<inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> show similarity after applying the scaling factor. Assuming a
systematic underestimation of livestock emissions, we also applied the same
scaling factor to area source emissions in Salt Lake Valley and Utah
Valley. As illustrated in Fig. S10, for Salt Lake Valley the modified
modelled <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are not significantly larger, which is due to the fact
that emissions from area sources play a less important role in Salt Lake
Valley than in Cache Valley or Utah Valley (Table 1). Since the largest emissions
source in Salt Lake Valley is the mobile sector, modelled <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values for all
three valleys were additionally modified by a scaling factor, which was
retrieved from the ratio of modelled and measured <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in Salt
Lake Valley (Fig. S11). Applying the factor (of 3) to the mobile emissions
of modelled <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> yields a better agreement for Salt Lake Valley during
non-PCAP conditions; however, the large frequency of measured <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
above 10 ppbv during PCAP conditions cannot be explained. This suggests that
especially during PCAP conditions either (1) background <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratios used to calculate measured <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are higher than accounted for or
(2) the surface influence in STILT is underestimated in Salt Lake Valley.</p>
      <?pagebreak page15704?><p id="d1e5546">The underestimation of <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in inventories compared to
inferences from measurements is in agreement with findings from several
other studies that examine industrial, agricultural and vehicle emissions.
For example, Sun et
al. (2017) found from vehicle-based measurements of <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios
that <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vehicle emissions are more than twice those reported in the
2011 NEI. Van Damme et al. (2018) state that the
EDGAR (Emission Database for Global Atmospheric Research) emission inventory mostly agrees with satellite-derived <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emission fluxes within a factor of 3 for larger regions but
underestimates the <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from many point sources by at least
1 order of magnitude, while most of those emission hotspots were
associated with either high-density animal farming or industrial fertilizer
production. Similar conclusions are made from aircraft observations by
Nowak et al. (2012), who
suggest that <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from dairy facilities in the South Coast Air
Basin were significantly underestimated (by a factor of 10–100) by the 2005 NEI.
However, it has to be noted that significant differences between spatial and
seasonal variations of <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions between inventories exist
(Zhang et al., 2018), which complicates a
direct comparison of the scaling factors presented in literature.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><title>Ammonia emissions in Cache Valley: uncertainties in livestock
emissions</title>
      <p id="d1e5643">The results presented above suggest that <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions may be
underestimated in the UDAQ emission inventory, with the highest underestimation
in Cache Valley. According to the inventory, 96.7 % of total <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions in Cache Valley are attributed to emissions from area sources.
Cache Valley area sources are dominated by emissions from cattle waste
(56.2 %) and poultry operations (20.6 %). Emissions from fertilizer
application only account for 6.8 %, and emissions from swine production only account for 3.1 %
of the total area sources. As cattle waste is by far the largest <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
source in Cache Valley, it therefore seems most likely that an
underrepresentation of cattle waste emissions are at least partially
responsible for the gap between measured and modelled <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e5690">In the UDAQ inventory, sources from livestock emissions are treated as area
sources and distributed uniformly over the county or an area in the county.
As a result, high <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions released by CAFOs are spread over a
larger area instead of being treated as a point source. This may be another
reason why the higher measured <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are not reproduced by the model. As the UDAQ inventory does not report the location of CAFOs, we
modelled <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> using a <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission inventory compiled by Utah
State University (USU), which reports facility-based emissions from
livestock in Cache Valley (see Sect. S4 for a description of the
inventory). The USU inventory compiled emissions from dairy cattle, beef
cattle, swine, poultry, automobiles, wastewater treatment facilities and
industry for both Cache and Franklin Counties for the year 2006 (Table S1).
In wintertime, the largest <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source of emissions in Cache Valley was
dairy cattle (89.6 %), while 98.1 % of total emissions were from the
livestock sector. Figure S6 spatially locates the facility-based livestock,
poultry and other area source <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in Cache Valley and
visually indicates estimated relative source strengths. To derive modelled
<inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimates, we replaced the UDAQ <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in Cache Valley
with these facility-based emissions from the USU inventory. These emissions
were embedded into the UDAQ emission inventory map (Fig. S7) before
overlaying them with the STILT footprints from the Twin Otter. Compared to
the original UDAQ inventory, the USU inventory produces higher modelled
<inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, which compare better to <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured from the Twin
Otter. The USU emissions yield a mean modelled <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.05</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.38</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ppbv, as shown in Table 1, whereas using the UDAQ inventory, this value was only <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.70</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.47</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ppbv. Maximum modelled <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
values from each inventory are 61.7 and 5.7 ppbv, respectively. Mean
<inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios from the USU are a factor of 2.55 higher than from
the UDAQ inventory, which agrees with the ratio between total emission rates
from each inventory in Cache Valley given in Table 1 (12 435 kg d<inline-formula><mml:math id="M430" 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> <inline-formula><mml:math id="M431" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 4757 kg d<inline-formula><mml:math id="M432" 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> <inline-formula><mml:math id="M433" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.61). In comparison to measured <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
the scaling factor (all sectors included) decreases from 4.4 to only 1.5
when using the USU inventory.</p>
      <?pagebreak page15705?><p id="d1e5920">Possible reasons for the underestimation of <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the UDAQ
inventory could be differences in the livestock numbers or differences in
livestock emission factors used in the inventories. As described in
Moore (2007), the USU inventory uses animal counts from
2007, derived from personal discussions with count extension agents, local
producers and co-op organizations, with approximately 90 000 dairy cattle in
Cache Valley (40 000 in Cache County; 50 000 in Franklin County) and nearly
2 000 000 chickens. The USU inventory is based on a <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission factor
between 152.7 and 161.3 g d<inline-formula><mml:math id="M437" 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> AU<inline-formula><mml:math id="M438" 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> (AUs; animal units),
depending on the cattle age and waste disposal method. Dairy cattle
emissions in the UDAQ are based on the county-wide estimates of the 2014v1
NEI inventory. As mentioned in Sect. 2.5, the FEM used in the NEI inventory
produces location-specific emission factors for each day of the modelled
year (McQuilling and Adams, 2015).
In SMOKE, annual NEI emission totals are multiplied by monthly, weekly and
hourly profiles to obtain temporally resolved emissions. The monthly profile
redistributes the annual total NEI emissions over the year and is determined
through inverse modelling, as described in
Gilliland et al. (2006). <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
observational data from the National Atmospheric Deposition Program (NADP)
are used together with prior seasonal <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission estimates in the CMAQ
model to produce a region-specific monthly profile. The monthly profile used
in the UDAQ inventory is presented in Fig. S5 showing a clear seasonal cycle
of livestock emissions. Emissions peak in summer, with more than 18 % of
annual emissions in July, while emissions are lowest in wintertime. This
seasonal profile is typically explained by increases in fertilizer
application, a higher fraction of outdoor housing and higher temperatures in
summer than in winter. However, a significant month-to-month variation is
present. Especially in wintertime, when expected emissions are lower, the
percentage variation between months is significant. This suggests
uncertainties in wintertime livestock emissions, in particular as the
monthly profile is based on the year 2005. Furthermore, as shown in Table S1, the USU inventory suggests nearly similar livestock emissions for both
summer and winter. This is supported by higher surface <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations on average observed in winter than summer in Cache Valley by the authors
of the inventory in 2006 (Moore, 2007). It is beyond the scope
of this study to evaluate the uncertainties of inventory livestock emissions
in detail. A larger measurement dataset and also a more thorough
consideration of other processes such as <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> deposition are necessary.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e6017">Inter-valley exchange of pollutants: contributions from different
counties to <bold>(a)</bold> <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <bold>(b)</bold> <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
at the UU (Salt Lake Valley)
site and Twin Otter locations in Salt Lake Valley, Cache Valley and Utah
Valley. The inter-valley exchange was evaluated by segregating contributions
from the footprint model (see contributions map in Fig. 5) into counties
of origin for each run of the footprint model (i.e. every 2 min of Twin
Otter flight path and every hour for the UU location).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/15691/2019/acp-19-15691-2019-f08.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><?xmltex \opttitle{Inter-valley exchange of {$\protect\chem{NH_{3}}$} and impact on PM formation}?><title>Inter-valley exchange of <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and impact on PM formation</title>
      <p id="d1e6075">Exchange of air masses between valleys or basins in the study region can be
a critical factor for air pollution formation. Especially in wintertime when
air pollutants accumulate in the valley basins during PCAP periods, the
transport of air pollutants or their precursors from adjacent valleys can
increase local air pollution. If <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from agriculture in Cache
Valley is transported to Salt Lake Valley, its equilibrium with HNO<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
produced from oxidation of <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emitted by mobile and industrial sources
may affect the limiting reagent and thus the control strategy for ammonium
nitrate PM<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation in Utah's most densely populated region
(Franchin et al., 2018). Similarly, <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
enriched air masses transported from Salt Lake Valley may lead to PM<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
formation in Cache Valley. Utah Valley is connected with Salt Lake Valley
via the Jordan Narrows, where an exchange of air masses between the two basins
is frequently observed. For example, after a mix-out episode at the end of a
PCAP period in Salt Lake Valley,
Mitchell et al. (2018)
observed the transport of PM<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-enriched air from Utah Valley, where
the PCAP was still persistent. Similarly, we observed from the Twin Otter
the transport of <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-rich air masses through the Jordan Narrows into
Salt Lake Valley, induced by southerly winds during PCAP#1 on 18 January 2017 (mixing ratios in Utah Valley and Salt Lake Valley for that day are shown in Fig. 1c).</p>
      <p id="d1e6159">To investigate how inter-valley exchange affects air pollution in the Great
Salt Lake region, we examined the origin of air masses through the STILT
footprint calculation. The <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contribution from each county to the
modelled total <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was determined for the Twin Otter footprints by
using emissions from the UDAQ inventory. In addition we determined the
county contribution to <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the UU site, where hourly STILT emission
enhancements were available for the period from 16 to 31 January 2017. Due
to the lower elevation of the ground-based UU site compared to the Twin
Otter aircraft, the extent of the footprints is typically smaller; however,
footprints for UU provide more continuous temporal coverage over the
investigated period.</p>
      <p id="d1e6195">Figure 8a shows the <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contributions for Salt Lake Valley (UU site and Twin Otter), Cache Valley (Twin Otter) and Utah Valley (Twin Otter). Results for the other regions in the study area are presented in Fig. S17. The contributions were segregated by county (e.g. Salt Lake County instead of Salt Lake Valley) as political boundaries are more appropriate divisions for emission control and air pollution regulation. In Salt Lake Valley, the largest portion of <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the UU site is attributed to emissions from Salt Lake County for both PCAP (66.3 %) and non-PCAP (77.2 %) conditions. As Twin Otter footprints extend further than those from surface observations, <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions from Salt Lake County are slightly smaller (47.6 % and 40.8 %).</p>
      <p id="d1e6232">The second-largest contributions are from Davis County adjoining to the
north of Salt Lake Valley (13.0 % and 24.2 % for Twin Otter). Contributions
from Utah County are small at the UU site (8.2 % and 3.7 %), but they are larger (16.9 %)
for the Twin Otter-derived footprints during PCAP periods, as the aircraft
also sampled the south section of Salt Lake Valley. This is consistent with
frequently observed southerly winds during PCAP periods and shows the
importance of inter-valley exchange during these conditions. Contributions
from Cache County were only minor (0.5 % and 0.0 % at UU site, 2.6 % and
6.5 % for Twin Otter over Salt Lake Valley) and negligible from Franklin County
(0.0 % at the UU site, 0.1 % and 1.7 % for Twin Otter over SLV). This shows
that the impact of the high agricultural emissions in Cache Valley on
PM<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation in Salt Lake Valley was not significant during the
study period. As shown in Fig. S18, the transport of <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from Cache
County and Franklin County into the medium densely populated northern metropolitan area (Weber County and Davis County) was also minor (<inline-formula><mml:math id="M462" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 %) during PCAP periods. Segregating the contributions from each county by emission sector, we found that 55 % are from area emissions and about
30 % from mobile sources (Fig. S19). If we account for the observed
underestimation of emission sources in the UDAQ inventory by increasing area
source and mobile emissions by a factor 4.5 and 3, respectively, (Fig. S20)
and take the average values retrieved from the Twin Otter and the UU site,
during the study period about 60 % of <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Salt Lake Valley
originated from area source emissions and 30 % are from mobile source emissions in the
region. Future analyses of relationships between <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and tracers for
different emission sources, such as CO, <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOCs, will be useful in refining the apportionment of <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission sources from this campaign.</p>
      <?pagebreak page15706?><p id="d1e6329">For Cache Valley, during PCAP conditions 64.2 % of <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contributions were from Cache Valley, while 21.1 % were transported from Box Elder County, which is connected through a canyon in the west mountain range of Cache Valley. Due to excess <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Cache Valley, ammonium nitrate formation is mostly nitrate limited (Franchin et
al., 2018). Therefore, the advection of nitrate or <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> may be a significant process for PM<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation in Cache Valley. Figure 8b shows the percentage of county contributions for <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (for all regions see Fig. S18). As they are based on the same STILT footprints, percentages are similar to the <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> contributions, but they differ due to a different distribution of <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emission sources. During PCAP conditions, 19.5 %
of <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Cache Valley was emitted in Box Elder County, 16.8 % in Davis County, 13.0 % in Weber County and 11 % in Salt Lake County. This suggests that a large fraction of <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> potentially leading to PM<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation in Cache Valley may not be locally emitted but mixed in from other counties.</p>
      <p id="d1e6439">For Utah Valley, inter-valley exchange seems slightly less important than
for Cache Valley, as 58.7 % of <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and 57.6 % of <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
originated in Utah County during PCAP periods. Nonetheless, transport from
Salt Lake County during PCAP conditions is still significant with
contributions of 17.5 % to <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and 29.9 % to <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. During
non-PCAP conditions the percentage contributions from Salt Lake County to
<inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (29.9 %) and <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">dNO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (49.8 %) are even higher, although
formation of <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is less important as demonstrated in the lower
PM<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> levels observed (Fig. 3).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e6543">Winter air pollution in the Great Salt Lake region has been shown to be
mainly linked to the formation of ammonium nitrate aerosol. Understanding
the sources of <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is key to making reliable predictions of
ammonium aerosol formation and identifying the appropriate mitigation
strategies for PM<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. To investigate <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the Great
Salt Lake region, we sampled <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from a Twin Otter aircraft over the Great Salt Lake region in northern Utah and at selected ground sites.</p>
      <p id="d1e6601">We found that <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (which is equal to <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) was highest in Cache Valley, which can be attributed to the large number of <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-emitting livestock and poultry operations in the Cache Valley. However, <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the commonly used UDAQ <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission inventory are not significantly larger in Cache Valley than in Salt Lake Valley or Utah Valley, as the measurements would suggest. Using a STILT footprint model approach, our results suggest that in Cache Valley livestock emissions in
the UDAQ inventory are underestimated by a factor of approximately 4.5 for
January and February 2017, based on the following findings: (1) the factor
between modelled and measured <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enhancements was 4.4 and (2) total UDAQ <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in Cache Valley are lower by a factor of 2.61 compared to emissions estimated in<?pagebreak page15707?> the USU inventory. One reason for the
discrepancy could be the underestimation of wintertime emissions through the
applied monthly profile in the UDAQ emission inventory. This emphasizes the
importance of generating year-specific emission factors and temporal
profiles that are based on the meteorological conditions of the year for
which the inventory is run. Furthermore, our results suggest that in areas
with large livestock operations, moving towards facility-based inventories
for livestock <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions can yield better <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
predictions in local or regional air quality models. However, more extensive
datasets, which also include summertime measurements, would be needed to
evaluate the uncertainties of livestock emissions within inventories in more
detail.</p>
      <p id="d1e6726">Our investigation of the inter-valley exchange during the study period
revealed that in Salt Lake Valley around two thirds of <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> originated within the valley, while <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> transport from Cache Valley was negligible
and therefore did not significantly impact the formation of PM<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in
Salt Lake Valley. In contrast, the transport of <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from Utah Valley can be
significant during PCAP period when southerly winds prevail. Furthermore, we
found that in Cache Valley a significant fraction (70 %) of the <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
potentially leading to PM<inline-formula><mml:math id="M507" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> formation is not locally emitted and is
instead transported from other counties. While nearly 20 % of the <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Cache Valley originated in the adjacent Box Elder County, still 11 % of the Cache Valley <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was transported from Salt Lake County, about 50 km
away. Since it was found that the formation of ammonium nitrate in Cache
Valley was mostly nitrate limited during the UWFPS campaign, this
illustrates the potential effect which regulation of <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in Salt Lake County may have on neighbouring regions with higher agricultural <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions.</p>
</sec>

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

      <p id="d1e6841">Data from the UWFPS campaign can be found on the NOAA website at <uri>https://www.esrl.noaa.gov/csd/groups/csd7/measurements/2017uwfps/</uri> (last
access: November 2019, NOAA, 2017).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6847">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-15691-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-15691-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6856">AM performed the measurements and analysis of airborne <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and wrote the
paper. JGM provided input at all stages regarding the measurements,
analysis and discussion of the results. AF and AMM obtained and analyzed the
aircraft based AMS data. DLF, CCW and EEM obtained and analyzed the NOxCaRD
data. AH and RM provided the ground site <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data. AM performed the model
analysis with support from AH and JCL. JCL ran the STILT model, and CP, RM
and KM provided the emission inventory data. SSB and MB planned and
organized the UWFPS measurement campaign. All authors discussed the results
and contributed to the final paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6884">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6890">The authors would like to acknowledge the Utah Division of Air Quality for
their support and collaboration during the study. We thank the NOAA Aircraft
Operations Center for their dedication and professionalism, particularly the
pilot, Robert Mitchel, and Jason Clark for skilful navigation in complex
terrain and challenging meteorology. We thank Bill Dube for taking the technical
lead in instrument installation on the Twin Otter
aircraft. We thank Lexie Goldberger for assistance in obtaining the
presented aircraft measurements and Joel Thornton for providing input to the
project design and comments to the presented paper. Furthermore, we
would also like to thank the Utah Water Research Laboratory and the Utah
State University Facilities for their support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6895">NOAA acknowledges support for Twin Otter flights from the Utah Division of Air Quality (agreement no. 16-049696).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6901">This paper was edited by Ashu Dastoor and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>AMoN: Ammonia Monitoring Network, Natl. Atmos. Depos. Program, available at:
<uri>http://nadp.slh.wisc.edu/amon/</uri>, last access: 19 November 2019.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Baek, B. H. and Seppanen, C.: Sparse Modeling Operator Kerner Emissions
(SMOKE) Modeling System (Version SMOKE User's Documentation),
<ext-link xlink:href="https://doi.org/10.5281/zenodo.1421403" ext-link-type="DOI">10.5281/zenodo.1421403</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Bahreini, R., Dunlea, E. J., Matthew, B. M., Simons, C., Docherty, K. S.,
DeCarlo, P. F., Jimenez, J. L., Brock, C. A., and Middlebrook, A. M.: Design
and operation of a pressure-controlled inlet for airborne sampling with an
aerodynamic aerosol lens, Aerosol Sci. Technol., 42, 465–471,
<ext-link xlink:href="https://doi.org/10.1080/02786820802178514" ext-link-type="DOI">10.1080/02786820802178514</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Drewnick, F., Hings, S. S., DeCarlo, P., Jayne, J. T., Gonin, M., Fuhrer,
K., Weimer, S., Jimenez, J. L., Demerjian, K. L., Borrmann, S., and Worsnop,
D. R.: A new time-of-flight aerosol mass spectrometer (TOF-AMS) – Instrument
description and first field deployment, Aerosol Sci. Technol., 39,
637–658, <ext-link xlink:href="https://doi.org/10.1080/02786820500182040" ext-link-type="DOI">10.1080/02786820500182040</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Ellis, R. A., Murphy, J. G., Pattey, E., van Haarlem, R., O'Brien, J. M., and Herndon, S. C.: Characterizing a Quantum Cascade Tunable Infrared Laser Differential Absorption Spectrometer (QC-TILDAS) for measurements of atmospheric ammonia, Atmos. Meas. Tech., 3, 397–406, <ext-link xlink:href="https://doi.org/10.5194/amt-3-397-2010" ext-link-type="DOI">10.5194/amt-3-397-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Franchin, A., Fibiger, D. L., Goldberger, L., McDuffie, E. E., Moravek, A., Womack, C. C., Crosman, E. T., Docherty, K. S., Dube, W. P., Hoch, S. W., Lee, B. H., Long, R., Murphy, J. G., Thornton, J. A., Brown, S. S., Baasandorj, M., and Middlebrook, A. M.: Airborne and ground-based observations of ammonium-nitrate-dominated aerosols in a shallow boundary layer durin<?pagebreak page15708?>g intense winter pollution episodes in northern Utah, Atmos. Chem. Phys., 18, 17259–17276, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17259-2018" ext-link-type="DOI">10.5194/acp-18-17259-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Fuchs, H., Dubé, W. P., Lerner, B. M., Wagner, N. L., Williams, E. J.,
and Brown, S. S.: A sensitive and versatile detector for atmospheric NO<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> based on blue diode laser cavity ring-down spectroscopy, Environ. Sci. Technol., 43, 7831–7836, <ext-link xlink:href="https://doi.org/10.1021/es902067h" ext-link-type="DOI">10.1021/es902067h</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Gilliland, A. B., Wyat Appel, K., Pinder, R. W., and Dennis, R. L.: Seasonal
NH<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions for the continental united states: Inverse model estimation and
evaluation, Atmos. Environ., 40, 4986–4998,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2005.12.066" ext-link-type="DOI">10.1016/j.atmosenv.2005.12.066</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Hacker, J. M., Chen, D., Bai, M., Ewenz, C., Junkermann, W., Lieff, W.,
Mcmanus, B., Neininger, B., Sun, J., Coates, T., Denmead, T., Flesch, T.,
Mcginn, S., and Hill, J.: Using airborne technology to quantify and apportion
emissions of CH<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from feedlots, Anim. Prod. Sci., 56, 190–203,
2016.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>
Hammond, I. A., Martin, R. S., Silva, P., and Baasandorj, M.: Wintertime ambient
ammonia concentrations in Northern Utah's Urban Valleys, paper A53B-221,
2017 Fall meeting of the Amerian Geophysical Union, New Orleans, LA, USA,
11–15 December, 2017.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>HRRR: High-Resolution Rapid Refresh, available at: <uri>https://rapidrefresh.noaa.gov/hrrr/</uri>, last access: 18 December, 2017.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Jayne, J. T., Leard, D. C., Zhang, X., Davidovits, P., Smith, K. A., Kolb,
C. E., and Worsnop, D. R.: Development of an aerosol mass spectrometer for
size and composition analysis of submicron particles, Aerosol Sci. Technol.,
33, 49–70, <ext-link xlink:href="https://doi.org/10.1080/027868200410840" ext-link-type="DOI">10.1080/027868200410840</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Kelly, K. E., Kotchenruther, R., Kuprov, R., and Silcox, G. D.: Receptor
model source attributions for Utah's Salt Lake City airshed and the impacts
of wintertime secondary ammonium nitrate and ammonium chloride aerosol, J.
Air Waste Manag. Assoc., 63, 575–590, <ext-link xlink:href="https://doi.org/10.1080/10962247.2013.774819" ext-link-type="DOI">10.1080/10962247.2013.774819</ext-link>,
2013.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Kuprov, R., Eatough, D. J., Cruickshank, T., Olson, N., Cropper, P. M., and
Hansen, J. C.: Composition and secondary formation of fine particulate
matter in the Salt Lake Valley: Winter 2009, J. Air Waste Manag. Assoc.,
64, 957–969, <ext-link xlink:href="https://doi.org/10.1080/10962247.2014.903878" ext-link-type="DOI">10.1080/10962247.2014.903878</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Markovic, M. Z., Vandenboer, T. C., and Murphy, J. G.: Characterization and
optimization of an online system for the simultaneous measurement of
atmospheric water-soluble constituents in the gas and particle phases, J.
Environ. Monit., 14, 1872–1884, <ext-link xlink:href="https://doi.org/10.1039/c2em00004k" ext-link-type="DOI">10.1039/c2em00004k</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>McDuffie, E. E., Womack, C. C., Fibiger, D. L., Dube, W. P., Franchin, A., Middlebrook, A. M., Goldberger, L., Lee, B. H., Thornton, J. A., Moravek, A., Murphy, J. G., Baasandorj, M., and Brown, S. S.: On the contribution of nocturnal heterogeneous reactive nitrogen chemistry to particulate matter formation during wintertime pollution events in Northern Utah, Atmos. Chem. Phys., 19, 9287–9308, <ext-link xlink:href="https://doi.org/10.5194/acp-19-9287-2019" ext-link-type="DOI">10.5194/acp-19-9287-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>McQuilling, A. M. and Adams, P. J.: Semi-empirical process-based models for
ammonia emissions from beef, swine, and poultry operations in the United
States, Atmos. Environ., 120, 127–136, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.08.084" ext-link-type="DOI">10.1016/j.atmosenv.2015.08.084</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Mitchell, L. E., Crosman, E. T., Jacques, A. A., Fasoli, B.,
Leclair-Marzolf, L., Horel, J., Bowling, D. R., Ehleringer, J. R., and Lin,
J. C.: Monitoring of greenhouse gases and pollutants across an urban area
using a light-rail public transit platform, Atmos. Environ., 187,
9–23, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.05.044" ext-link-type="DOI">10.1016/j.atmosenv.2018.05.044</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>
Moore, K. D.: Derivation of agricultural gas-phase ammonia emissions and
application to the Cache Valley, MS thesis, Utah State University, Logan,
UT, 2007.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Moravek, A., Singh, S., Pattey, E., Pelletier, L., and Murphy, J. G.: Measurements and quality control of ammonia eddy covariance fluxes: a new strategy for high-frequency attenuation correction, Atmos. Meas. Tech., 12, 6059–6078, <ext-link xlink:href="https://doi.org/10.5194/amt-12-6059-2019" ext-link-type="DOI">10.5194/amt-12-6059-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>NOAA: Utah Winter Fine Particulate Study, available at: <uri>https://www.esrl.noaa.gov/csd/groups/csd7/measurements/2017uwfps/</uri> (last
access: 17 November 2019), 2017.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Nowak, J. B., Neuman, J. A., Bahreini, R., Middlebrook, A. M., Holloway, J.
S., McKeen, S. A., Parrish, D. D., Ryerson, T. B., and Trainer, M.: Ammonia
sources in the California South Coast Air Basin and their impact on ammonium
nitrate formation, Geophys. Res. Lett., 39, L07804,
<ext-link xlink:href="https://doi.org/10.1029/2012GL051197" ext-link-type="DOI">10.1029/2012GL051197</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Pollack, I. B., Lindaas, J., Roscioli, J. R., Agnese, M., Permar, W., Hu, L., and Fischer, E. V.: Evaluation of ambient ammonia measurements from a research aircraft using a closed-path QC-TILDAS operated with active continuous passivation, Atmos. Meas. Tech., 12, 3717–3742, <ext-link xlink:href="https://doi.org/10.5194/amt-12-3717-2019" ext-link-type="DOI">10.5194/amt-12-3717-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Pozzer, A., Tsimpidi, A. P., Karydis, V. A., de Meij, A., and Lelieveld, J.: Impact of agricultural emission reductions on fine-particulate matter and public health, Atmos. Chem. Phys., 17, 12813–12826, <ext-link xlink:href="https://doi.org/10.5194/acp-17-12813-2017" ext-link-type="DOI">10.5194/acp-17-12813-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Silcox, G. D., Kelly, K. E., Crosman, E. T., Whiteman, C. D., and Allen, B.
L.: Wintertime PM<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations during persistent, multi-day cold-air pools in a mountain valley, Atmos. Environ., 46, 17–24,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2011.10.041" ext-link-type="DOI">10.1016/j.atmosenv.2011.10.041</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Skamarock, W. C. and Klemp, J. B.: A time-split nonhydrostatic atmospheric
model for weather research and forecasting applications, J. Comput. Phys.,
227, 3465–3485, <ext-link xlink:href="https://doi.org/10.1016/j.jcp.2007.01.037" ext-link-type="DOI">10.1016/j.jcp.2007.01.037</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Sun, K., Tao, L., Miller, D. J., Pan, D., Golston, L. M., Zondlo, M. A.,
Griffin, R. J., Wallace, H. W., Leong, Y. J., Yang, M. M., Zhang, Y.,
Mauzerall, D. L., and Zhu, T.: Vehicle Emissions as an Important Urban
Ammonia Source in the United States and China, Environ. Sci. Technol., 51, 2472–2481, <ext-link xlink:href="https://doi.org/10.1021/acs.est.6b02805" ext-link-type="DOI">10.1021/acs.est.6b02805</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>USGS: United States Geological Survey Elevation and Terrain Data, available at: <uri>https://gis.utah.gov/data/elevation-and-terrain/</uri>, last access: 11 October, 2017.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>UWFPS: 2017 Utah Winter Fine Particulate Study Final Report?; submitted to
the Utah Division of Air Quality (UDAQ), available at:
<uri>https://documents.deq.utah.gov/air-quality/planning/technical-analysis/research/northern-utah-airpollution/utah-winter-fine-particulate-study/DAQ-2018-004037.pdf</uri> (last access: 17 November 2019),
2018.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Van Damme, M., Clarisse, L., Whitburn, S., Hadji-Lazaro, J., Hurtmans, D.,
Clerbaux, C., and Coheur, P. F.: Industrial and agricultural ammonia point
sources exposed, Nature, 564, 99–103, <ext-link xlink:href="https://doi.org/10.1038/s41586-018-0747-1" ext-link-type="DOI">10.1038/s41586-018-0747-1</ext-link>, 2018.</mixed-citation></ref>
      <?pagebreak page15709?><ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Washenfelder, R. A., Wagner, N. L., Dube, W. P., and Brown, S. S.:
Measurement of atmospheric ozone by cavity ring-down spectroscopy, Environ.
Sci. Technol., 45, 2938–2944, <ext-link xlink:href="https://doi.org/10.1021/es103340u" ext-link-type="DOI">10.1021/es103340u</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Whitehead, J. D., Twigg, M., Famulari, D., Nemitz, E., Sutton, M. A.,
Gallagher, M. W., and Fowler, D.: Evaluation of Laser Absorption
Spectroscopic Techniques for Eddy Covariance Flux Measurements of Ammonia,
Environ. Sci. Technol., 42, 2041–2046, <ext-link xlink:href="https://doi.org/10.1021/es071596u" ext-link-type="DOI">10.1021/es071596u</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Whiteman, C. D., Hoch, S. W., Horel, J. D., and Charland, A.: Relationship
between particulate air pollution and meteorological variables in Utah's
Salt Lake Valley, Atmos. Environ., 94, 742–753,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.06.012" ext-link-type="DOI">10.1016/j.atmosenv.2014.06.012</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>WHO: Ambient (outdoor) air quality and health, World Health Organization,
available at: <uri>http://www.who.int/mediacentre/factsheets/fs313/en/</uri> (last access: 17 November 2019, 2016.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Wild, R. J., Edwards, P. M., Dubé, W. P., Baumann, K., Edgerton, E. S.,
Quinn, P. K., Roberts, J. M., Rollins, A. W., Veres, P. R., Warneke, C.,
Williams, E. J., Yuan, B., and Brown, S. S.: A measurement of total reactive
nitrogen, NO<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>, together with NO<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO, and O<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> via cavity ring-down
spectroscopy, Environ. Sci. Technol., 48, 9609–9615,
<ext-link xlink:href="https://doi.org/10.1021/es501896w" ext-link-type="DOI">10.1021/es501896w</ext-link>, 2014.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Womack, C. C., McDuffie, E. E., Edwards, P. M., Bares, R., Gouw, J. A. A.,
Docherty, K. S., Dubé, W. P., Fibiger, D. L., Franchin, A., Gilman, J.
B., Goldberger, L., Lee, B. H., Lin, J. C., Long, R., Middlebrook, A. M.,
Millet, D. B., Moravek, A., Murphy, J. G., Quinn, P. K., Riedel, T. P.,
Roberts, J. M., Thornton, J. A., Valin, L. C., Veres, P. R., Whitehill, A.
R., Wild, R. J., Warneke, C., Yuan, B., Baasandorj, M., and Brown, S. S.: An
Odd Oxygen Framework for Wintertime Ammonium Nitrate Aerosol Pollution in
Urban Areas: NO<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOC Control as Mitigation Strategies, Geophys. Res.
Lett., 46, 4971–4979, <ext-link xlink:href="https://doi.org/10.1029/2019GL082028" ext-link-type="DOI">10.1029/2019GL082028</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Zhang, L., Chen, Y., Zhao, Y., Henze, D. K., Zhu, L., Song, Y., Paulot, F., Liu, X., Pan, Y., Lin, Y., and Huang, B.: Agricultural ammonia emissions in China: reconciling bottom-up and top-down estimates, Atmos. Chem. Phys., 18, 339–355, <ext-link xlink:href="https://doi.org/10.5194/acp-18-339-2018" ext-link-type="DOI">10.5194/acp-18-339-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Zhao, Z. Q., Bai, Z. H., Winiwarter, W., Kiesewetter, G., Heyes, C., and Ma,
L.: Mitigating ammonia emission from agriculture reduces PM<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>pollution in
the Hai River Basin in China, Sci. Total Environ., 609, 1152–1160,
<ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2017.07.240" ext-link-type="DOI">10.1016/j.scitotenv.2017.07.240</ext-link>, 2017.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Wintertime spatial distribution of ammonia and its emission sources in the Great Salt Lake region</article-title-html>
<abstract-html><p>Ammonium-containing aerosols are a major component of wintertime air
pollution in many densely populated regions around the world. Especially in
mountain basins, the formation of persistent cold-air pools (PCAPs)
can enhance particulate matter with diameters less than 2.5&thinsp;µm
(PM<sub>2.5</sub>) to levels above air quality standards. Under these conditions,
PM<sub>2.5</sub> in the Great Salt Lake region of northern Utah has been shown
to be primarily composed of ammonium nitrate; however, its formation
processes and sources of its precursors are not fully understood. Hence, it
is key to understanding the emission sources of its gas phase precursor,
ammonia (NH<sub>3</sub>). To investigate the formation of ammonium nitrate, a
suite of trace gases and aerosol composition were sampled from the NOAA Twin Otter aircraft during the Utah Winter Fine Particulate Study (UWFPS) in
January and February 2017. NH<sub>3</sub> was measured using a quantum cascade
tunable infrared laser differential absorption spectrometer (QC-TILDAS),
while aerosol composition, including particulate ammonium (<i>p</i>NH<sub>4</sub>), was
measured with an aerosol mass spectrometer (AMS). The origin of the sampled
air masses was investigated using the Stochastic Time-Inverted Lagrangian
Transport (STILT) model and combined with an NH<sub>3</sub> emission inventory to
obtain model-predicted NH<sub><i>x</i></sub> ( = NH<sub>3</sub> + <i>p</i>NH<sub>4</sub>) enhancements.
Enhancements represent the increase in NH<sub>3</sub> mixing ratios within the
last 24&thinsp;h due to emissions within the model footprint. Comparison of these
NH<sub><i>x</i></sub> enhancements with measured NH<sub><i>x</i></sub> from the Twin Otter shows that modelled values are a factor of 1.6 to 4.4 lower for the three major valleys in the region. Among these, the underestimation is largest for Cache Valley, an area with intensive agricultural activities. We find that one explanation for the underestimation of wintertime emissions may be the seasonality factors applied to NH<sub>3</sub> emissions from livestock. An investigation of inter-valley exchange revealed that transport of NH<sub>3</sub>
between major valleys was limited and PM<sub>2.5</sub> in Salt Lake Valley (the
most densely populated area in Utah) was not significantly impacted by
NH<sub>3</sub> from the agricultural areas in Cache Valley. We found that in Salt
Lake Valley around two thirds of NH<sub><i>x</i></sub> originated within the valley,
while about 30&thinsp;% originated from mobile sources and 60&thinsp;% from area
source emissions in the region. For Cache Valley, a large fraction of
NO<sub><i>x</i></sub> potentially leading to PM<sub>2.5</sub> formation may not be locally emitted but mixed in from other counties.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
AMoN: Ammonia Monitoring Network, Natl. Atmos. Depos. Program, available at:
<a href="http://nadp.slh.wisc.edu/amon/" target="_blank"/>, last access: 19 November 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Baek, B. H. and Seppanen, C.: Sparse Modeling Operator Kerner Emissions
(SMOKE) Modeling System (Version SMOKE User's Documentation),
<a href="https://doi.org/10.5281/zenodo.1421403" target="_blank">https://doi.org/10.5281/zenodo.1421403</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Bahreini, R., Dunlea, E. J., Matthew, B. M., Simons, C., Docherty, K. S.,
DeCarlo, P. F., Jimenez, J. L., Brock, C. A., and Middlebrook, A. M.: Design
and operation of a pressure-controlled inlet for airborne sampling with an
aerodynamic aerosol lens, Aerosol Sci. Technol., 42, 465–471,
<a href="https://doi.org/10.1080/02786820802178514" target="_blank">https://doi.org/10.1080/02786820802178514</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Drewnick, F., Hings, S. S., DeCarlo, P., Jayne, J. T., Gonin, M., Fuhrer,
K., Weimer, S., Jimenez, J. L., Demerjian, K. L., Borrmann, S., and Worsnop,
D. R.: A new time-of-flight aerosol mass spectrometer (TOF-AMS) – Instrument
description and first field deployment, Aerosol Sci. Technol., 39,
637–658, <a href="https://doi.org/10.1080/02786820500182040" target="_blank">https://doi.org/10.1080/02786820500182040</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Ellis, R. A., Murphy, J. G., Pattey, E., van Haarlem, R., O'Brien, J. M., and Herndon, S. C.: Characterizing a Quantum Cascade Tunable Infrared Laser Differential Absorption Spectrometer (QC-TILDAS) for measurements of atmospheric ammonia, Atmos. Meas. Tech., 3, 397–406, <a href="https://doi.org/10.5194/amt-3-397-2010" target="_blank">https://doi.org/10.5194/amt-3-397-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Franchin, A., Fibiger, D. L., Goldberger, L., McDuffie, E. E., Moravek, A., Womack, C. C., Crosman, E. T., Docherty, K. S., Dube, W. P., Hoch, S. W., Lee, B. H., Long, R., Murphy, J. G., Thornton, J. A., Brown, S. S., Baasandorj, M., and Middlebrook, A. M.: Airborne and ground-based observations of ammonium-nitrate-dominated aerosols in a shallow boundary layer during intense winter pollution episodes in northern Utah, Atmos. Chem. Phys., 18, 17259–17276, <a href="https://doi.org/10.5194/acp-18-17259-2018" target="_blank">https://doi.org/10.5194/acp-18-17259-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Fuchs, H., Dubé, W. P., Lerner, B. M., Wagner, N. L., Williams, E. J.,
and Brown, S. S.: A sensitive and versatile detector for atmospheric NO<sub>2</sub> and NO<sub><i>x</i></sub> based on blue diode laser cavity ring-down spectroscopy, Environ. Sci. Technol., 43, 7831–7836, <a href="https://doi.org/10.1021/es902067h" target="_blank">https://doi.org/10.1021/es902067h</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Gilliland, A. B., Wyat Appel, K., Pinder, R. W., and Dennis, R. L.: Seasonal
NH<sub>3</sub> emissions for the continental united states: Inverse model estimation and
evaluation, Atmos. Environ., 40, 4986–4998,
<a href="https://doi.org/10.1016/j.atmosenv.2005.12.066" target="_blank">https://doi.org/10.1016/j.atmosenv.2005.12.066</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Hacker, J. M., Chen, D., Bai, M., Ewenz, C., Junkermann, W., Lieff, W.,
Mcmanus, B., Neininger, B., Sun, J., Coates, T., Denmead, T., Flesch, T.,
Mcginn, S., and Hill, J.: Using airborne technology to quantify and apportion
emissions of CH<sub>4</sub> and NH<sub>3</sub> from feedlots, Anim. Prod. Sci., 56, 190–203,
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Hammond, I. A., Martin, R. S., Silva, P., and Baasandorj, M.: Wintertime ambient
ammonia concentrations in Northern Utah's Urban Valleys, paper A53B-221,
2017 Fall meeting of the Amerian Geophysical Union, New Orleans, LA, USA,
11–15 December, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
HRRR: High-Resolution Rapid Refresh, available at: <a href="https://rapidrefresh.noaa.gov/hrrr/" target="_blank"/>, last access: 18 December, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Jayne, J. T., Leard, D. C., Zhang, X., Davidovits, P., Smith, K. A., Kolb,
C. E., and Worsnop, D. R.: Development of an aerosol mass spectrometer for
size and composition analysis of submicron particles, Aerosol Sci. Technol.,
33, 49–70, <a href="https://doi.org/10.1080/027868200410840" target="_blank">https://doi.org/10.1080/027868200410840</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Kelly, K. E., Kotchenruther, R., Kuprov, R., and Silcox, G. D.: Receptor
model source attributions for Utah's Salt Lake City airshed and the impacts
of wintertime secondary ammonium nitrate and ammonium chloride aerosol, J.
Air Waste Manag. Assoc., 63, 575–590, <a href="https://doi.org/10.1080/10962247.2013.774819" target="_blank">https://doi.org/10.1080/10962247.2013.774819</a>,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Kuprov, R., Eatough, D. J., Cruickshank, T., Olson, N., Cropper, P. M., and
Hansen, J. C.: Composition and secondary formation of fine particulate
matter in the Salt Lake Valley: Winter 2009, J. Air Waste Manag. Assoc.,
64, 957–969, <a href="https://doi.org/10.1080/10962247.2014.903878" target="_blank">https://doi.org/10.1080/10962247.2014.903878</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Markovic, M. Z., Vandenboer, T. C., and Murphy, J. G.: Characterization and
optimization of an online system for the simultaneous measurement of
atmospheric water-soluble constituents in the gas and particle phases, J.
Environ. Monit., 14, 1872–1884, <a href="https://doi.org/10.1039/c2em00004k" target="_blank">https://doi.org/10.1039/c2em00004k</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
McDuffie, E. E., Womack, C. C., Fibiger, D. L., Dube, W. P., Franchin, A., Middlebrook, A. M., Goldberger, L., Lee, B. H., Thornton, J. A., Moravek, A., Murphy, J. G., Baasandorj, M., and Brown, S. S.: On the contribution of nocturnal heterogeneous reactive nitrogen chemistry to particulate matter formation during wintertime pollution events in Northern Utah, Atmos. Chem. Phys., 19, 9287–9308, <a href="https://doi.org/10.5194/acp-19-9287-2019" target="_blank">https://doi.org/10.5194/acp-19-9287-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
McQuilling, A. M. and Adams, P. J.: Semi-empirical process-based models for
ammonia emissions from beef, swine, and poultry operations in the United
States, Atmos. Environ., 120, 127–136, <a href="https://doi.org/10.1016/j.atmosenv.2015.08.084" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.08.084</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Mitchell, L. E., Crosman, E. T., Jacques, A. A., Fasoli, B.,
Leclair-Marzolf, L., Horel, J., Bowling, D. R., Ehleringer, J. R., and Lin,
J. C.: Monitoring of greenhouse gases and pollutants across an urban area
using a light-rail public transit platform, Atmos. Environ., 187,
9–23, <a href="https://doi.org/10.1016/j.atmosenv.2018.05.044" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.05.044</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Moore, K. D.: Derivation of agricultural gas-phase ammonia emissions and
application to the Cache Valley, MS thesis, Utah State University, Logan,
UT, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Moravek, A., Singh, S., Pattey, E., Pelletier, L., and Murphy, J. G.: Measurements and quality control of ammonia eddy covariance fluxes: a new strategy for high-frequency attenuation correction, Atmos. Meas. Tech., 12, 6059–6078, <a href="https://doi.org/10.5194/amt-12-6059-2019" target="_blank">https://doi.org/10.5194/amt-12-6059-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
NOAA: Utah Winter Fine Particulate Study, available at: <a href="https://www.esrl.noaa.gov/csd/groups/csd7/measurements/2017uwfps/" target="_blank"/> (last
access: 17 November 2019), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Nowak, J. B., Neuman, J. A., Bahreini, R., Middlebrook, A. M., Holloway, J.
S., McKeen, S. A., Parrish, D. D., Ryerson, T. B., and Trainer, M.: Ammonia
sources in the California South Coast Air Basin and their impact on ammonium
nitrate formation, Geophys. Res. Lett., 39, L07804,
<a href="https://doi.org/10.1029/2012GL051197" target="_blank">https://doi.org/10.1029/2012GL051197</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Pollack, I. B., Lindaas, J., Roscioli, J. R., Agnese, M., Permar, W., Hu, L., and Fischer, E. V.: Evaluation of ambient ammonia measurements from a research aircraft using a closed-path QC-TILDAS operated with active continuous passivation, Atmos. Meas. Tech., 12, 3717–3742, <a href="https://doi.org/10.5194/amt-12-3717-2019" target="_blank">https://doi.org/10.5194/amt-12-3717-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Pozzer, A., Tsimpidi, A. P., Karydis, V. A., de Meij, A., and Lelieveld, J.: Impact of agricultural emission reductions on fine-particulate matter and public health, Atmos. Chem. Phys., 17, 12813–12826, <a href="https://doi.org/10.5194/acp-17-12813-2017" target="_blank">https://doi.org/10.5194/acp-17-12813-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Silcox, G. D., Kelly, K. E., Crosman, E. T., Whiteman, C. D., and Allen, B.
L.: Wintertime PM<sub>2.5</sub> concentrations during persistent, multi-day cold-air pools in a mountain valley, Atmos. Environ., 46, 17–24,
<a href="https://doi.org/10.1016/j.atmosenv.2011.10.041" target="_blank">https://doi.org/10.1016/j.atmosenv.2011.10.041</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Skamarock, W. C. and Klemp, J. B.: A time-split nonhydrostatic atmospheric
model for weather research and forecasting applications, J. Comput. Phys.,
227, 3465–3485, <a href="https://doi.org/10.1016/j.jcp.2007.01.037" target="_blank">https://doi.org/10.1016/j.jcp.2007.01.037</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Sun, K., Tao, L., Miller, D. J., Pan, D., Golston, L. M., Zondlo, M. A.,
Griffin, R. J., Wallace, H. W., Leong, Y. J., Yang, M. M., Zhang, Y.,
Mauzerall, D. L., and Zhu, T.: Vehicle Emissions as an Important Urban
Ammonia Source in the United States and China, Environ. Sci. Technol., 51, 2472–2481, <a href="https://doi.org/10.1021/acs.est.6b02805" target="_blank">https://doi.org/10.1021/acs.est.6b02805</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
USGS: United States Geological Survey Elevation and Terrain Data, available at: <a href="https://gis.utah.gov/data/elevation-and-terrain/" target="_blank"/>, last access: 11 October, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
UWFPS: 2017 Utah Winter Fine Particulate Study Final Report?; submitted to
the Utah Division of Air Quality (UDAQ), available at:
<a href="https://documents.deq.utah.gov/air-quality/planning/technical-analysis/research/northern-utah-airpollution/utah-winter-fine-particulate-study/DAQ-2018-004037.pdf" target="_blank"/> (last access: 17 November 2019),
2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Van Damme, M., Clarisse, L., Whitburn, S., Hadji-Lazaro, J., Hurtmans, D.,
Clerbaux, C., and Coheur, P. F.: Industrial and agricultural ammonia point
sources exposed, Nature, 564, 99–103, <a href="https://doi.org/10.1038/s41586-018-0747-1" target="_blank">https://doi.org/10.1038/s41586-018-0747-1</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Washenfelder, R. A., Wagner, N. L., Dube, W. P., and Brown, S. S.:
Measurement of atmospheric ozone by cavity ring-down spectroscopy, Environ.
Sci. Technol., 45, 2938–2944, <a href="https://doi.org/10.1021/es103340u" target="_blank">https://doi.org/10.1021/es103340u</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Whitehead, J. D., Twigg, M., Famulari, D., Nemitz, E., Sutton, M. A.,
Gallagher, M. W., and Fowler, D.: Evaluation of Laser Absorption
Spectroscopic Techniques for Eddy Covariance Flux Measurements of Ammonia,
Environ. Sci. Technol., 42, 2041–2046, <a href="https://doi.org/10.1021/es071596u" target="_blank">https://doi.org/10.1021/es071596u</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Whiteman, C. D., Hoch, S. W., Horel, J. D., and Charland, A.: Relationship
between particulate air pollution and meteorological variables in Utah's
Salt Lake Valley, Atmos. Environ., 94, 742–753,
<a href="https://doi.org/10.1016/j.atmosenv.2014.06.012" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.06.012</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
WHO: Ambient (outdoor) air quality and health, World Health Organization,
available at: <a href="http://www.who.int/mediacentre/factsheets/fs313/en/" target="_blank"/> (last access: 17 November 2019, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Wild, R. J., Edwards, P. M., Dubé, W. P., Baumann, K., Edgerton, E. S.,
Quinn, P. K., Roberts, J. M., Rollins, A. W., Veres, P. R., Warneke, C.,
Williams, E. J., Yuan, B., and Brown, S. S.: A measurement of total reactive
nitrogen, NO<sub><i>y</i></sub>, together with NO<sub>2</sub>, NO, and O<sub>3</sub> via cavity ring-down
spectroscopy, Environ. Sci. Technol., 48, 9609–9615,
<a href="https://doi.org/10.1021/es501896w" target="_blank">https://doi.org/10.1021/es501896w</a>, 2014.

</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Womack, C. C., McDuffie, E. E., Edwards, P. M., Bares, R., Gouw, J. A. A.,
Docherty, K. S., Dubé, W. P., Fibiger, D. L., Franchin, A., Gilman, J.
B., Goldberger, L., Lee, B. H., Lin, J. C., Long, R., Middlebrook, A. M.,
Millet, D. B., Moravek, A., Murphy, J. G., Quinn, P. K., Riedel, T. P.,
Roberts, J. M., Thornton, J. A., Valin, L. C., Veres, P. R., Whitehill, A.
R., Wild, R. J., Warneke, C., Yuan, B., Baasandorj, M., and Brown, S. S.: An
Odd Oxygen Framework for Wintertime Ammonium Nitrate Aerosol Pollution in
Urban Areas: NO<sub><i>x</i></sub> and VOC Control as Mitigation Strategies, Geophys. Res.
Lett., 46, 4971–4979, <a href="https://doi.org/10.1029/2019GL082028" target="_blank">https://doi.org/10.1029/2019GL082028</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Zhang, L., Chen, Y., Zhao, Y., Henze, D. K., Zhu, L., Song, Y., Paulot, F., Liu, X., Pan, Y., Lin, Y., and Huang, B.: Agricultural ammonia emissions in China: reconciling bottom-up and top-down estimates, Atmos. Chem. Phys., 18, 339–355, <a href="https://doi.org/10.5194/acp-18-339-2018" target="_blank">https://doi.org/10.5194/acp-18-339-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Zhao, Z. Q., Bai, Z. H., Winiwarter, W., Kiesewetter, G., Heyes, C., and Ma,
L.: Mitigating ammonia emission from agriculture reduces PM<sub>2.5</sub>pollution in
the Hai River Basin in China, Sci. Total Environ., 609, 1152–1160,
<a href="https://doi.org/10.1016/j.scitotenv.2017.07.240" target="_blank">https://doi.org/10.1016/j.scitotenv.2017.07.240</a>, 2017.
</mixed-citation></ref-html>--></article>
