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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-16-10351-2016</article-id><title-group><article-title>An evaluation of IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with ground-based Fourier transform infrared spectroscopy measurements</article-title>
      </title-group><?xmltex \runningtitle{An evaluation of IASI-NH${}_{{3}}$ with ground-based FTIR measurements}?><?xmltex \runningauthor{E. Dammers et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Dammers</surname><given-names>Enrico</given-names></name>
          <email>e.dammers@vu.nl</email>
        <ext-link>https://orcid.org/0000-0003-0128-8205</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Palm</surname><given-names>Mathias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Van Damme</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1752-0558</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Vigouroux</surname><given-names>Corinne</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Smale</surname><given-names>Dan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3385-0880</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Conway</surname><given-names>Stephanie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Toon</surname><given-names>Geoffrey C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Jones</surname><given-names>Nicholas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Nussbaumer</surname><given-names>Eric</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Warneke</surname><given-names>Thorsten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Petri</surname><given-names>Christof</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7010-5532</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Clarisse</surname><given-names>Lieven</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8805-2141</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Clerbaux</surname><given-names>Cathy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Hermans</surname><given-names>Christian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lutsch</surname><given-names>Erik</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5072-0979</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Strong</surname><given-names>Kim</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9947-1053</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Hannigan</surname><given-names>James W.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Nakajima</surname><given-names>Hideaki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2742-1230</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Morino</surname><given-names>Isamu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2720-1569</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Herrera</surname><given-names>Beatriz</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Stremme</surname><given-names>Wolfgang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0791-3833</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Grutter</surname><given-names>Michel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9800-5878</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Schaap</surname><given-names>Martijn</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9160-2511</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Wichink Kruit</surname><given-names>Roy J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Notholt</surname><given-names>Justus</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Coheur</surname><given-names>Pierre-F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff15">
          <name><surname>Erisman</surname><given-names>Jan Willem</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Cluster Earth and Climate, Department of Earth Sciences, Vrije Universiteit Amsterdam, Amsterdam, the Netherlands</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institut für Umweltphysik, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Spectroscopie de l'Atmosphère, Service de Chimie Quantique et Photophysique, Université Libre de Bruxelles (ULB), Brussels, Belgium</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Brussels, Belgium</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>National Institute of Water and Atmosphere, Lauder, New Zealand</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>University of Toronto, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Centre for Atmospheric Chemistry, University of Wollongong, Wollongong, Australia</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>NCAR, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Atmospheric Environment Division, National Institute for Environmental Studies (NIES), Tsukuba, Japan</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>National Institute for Environmental Studies, 16-2 Onogawa, Tsukuba, Ibaraki, 305-8506, Japan</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Centro de Ciencias de la Atmósfera, Universidad Nacional Autonoma de Mexico, Mexico City, Mexico</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>TNO Built Environment and Geosciences, Department of Air Quality and Climate, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>National Institute for Public Health and the Environment (RIVM), Bilthoven, the Netherlands</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Louis Bolk Institute, Driebergen, the Netherlands</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Enrico Dammers (e.dammers@vu.nl)</corresp></author-notes><pub-date><day>16</day><month>August</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>16</issue>
      <fpage>10351</fpage><lpage>10368</lpage>
      <history>
        <date date-type="received"><day>15</day><month>February</month><year>2016</year></date>
           <date date-type="rev-request"><day>15</day><month>March</month><year>2016</year></date>
           <date date-type="rev-recd"><day>18</day><month>July</month><year>2016</year></date>
           <date date-type="accepted"><day>19</day><month>July</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Global distributions of atmospheric ammonia (NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
measured with satellite instruments such as the Infrared Atmospheric
Sounding Interferometer (IASI) contain valuable information on NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations and variability in regions not yet covered by ground-based
instruments. Due to their large spatial coverage and (bi-)daily overpasses,
the satellite observations have the potential to increase our knowledge of
the distribution of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions and associated seasonal cycles.
However the observations remain poorly validated, with only a handful of
available studies often using only surface measurements without any vertical
information. In this study, we present the first validation of the
IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product using ground-based Fourier transform infrared spectroscopy (FTIR)
observations. Using a recently developed consistent retrieval strategy,
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration profiles have been retrieved using observations from
nine Network for the Detection of Atmospheric Composition Change (NDACC)
stations around the world between 2008 and 2015. We demonstrate the importance
of strict spatio-temporal collocation criteria for the comparison. Large
differences in the regression results are observed for changing intervals of
spatial criteria, mostly due to terrain characteristics and the short
lifetime of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the atmosphere. The seasonal variations of both
datasets are consistent for most sites. Correlations are found to be high at
sites in areas with considerable NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels, whereas correlations are
lower at sites with low atmospheric NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels close to the detection
limit of the IASI instrument. A combination of the observations from all
sites (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>547</mml:mn></mml:mrow></mml:math></inline-formula>) give a mean relative difference of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (56.3) %, a
correlation <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of 0.8 with a slope of 0.73. These results give an improved
estimate of the IASI-NH3 product performance compared to the previous upper-bound estimates (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>100 %).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Humankind has increased the global emissions of reactive nitrogen to an
unprecedented level (Holland et al., 1999; Rockström et al., 2009). The
current global emissions of reactive nitrogen are estimated to be a factor
of 4 larger than pre-industrial levels (Fowler et al., 2013). Consequently,
atmospheric deposition of reactive nitrogen to ecosystems has substantially
increased as well (Rodhe et al., 2002; Dentener et al., 2006). Ammonia
(NH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> emissions play a major role in this deposition with a total
emission of 49.3 Tg in 2008 (Emission Database for Global Atmospheric
Research (EDGAR), 2011). Although NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions are predominantly from
agriculture in the Northern Hemisphere, wildfires also play a role, with
biomass burning contributing up to 8 % of the global emission budget
(Sutton et al., 2013). NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> has been shown to be a major factor in the
acidification and eutrophication of soil and water bodies, which threatens
biodiversity in vulnerable ecosystems (Bobbink et al., 2010; Erisman et al.,
2008, 2011). Through reactions with sulfuric and nitric acid, NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> also
contributes to the formation of particulate matter, which is associated with
adverse health effects (Pope III et al., 2009). Particulate ammonium salts
contribute largely to aerosol loads over continental regions (Schaap et al.,
2004). Through its role in aerosol formation, NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> also has an impact on
global climate change as hygroscopic ammonium salts are of importance for
the aerosol climate effect and thus the global radiance budget (Adams et
al., 2001). Furthermore increased NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the soil also
enhance the emission of nitrous oxide (N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O), which is an important
greenhouse gas and an ozone-depleting substance (Ravishankara et al., 2009).
Finally nitrogen availability is a key factor for the fixation of carbon
dioxide (CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and thus it is an important factor in climate change.</p>
      <p>Despite the fact that NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at its current levels is a major threat to the
environment and human health, relatively little is known about its total
budget and global distribution (Sutton et al., 2013; Erisman et al., 2007).
Surface observations are sparse and mainly available for northwestern Europe,
the United States, and China (Van Damme et al., 2015a). At the available
sites, in situ measurements are mostly performed with relatively poor
temporal resolution due to the high costs of performing reliable NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
measurements with high temporal resolution. These measurements of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
are also hampered by sampling artefacts caused by the reactivity of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and the evaporation of ammonium nitrate (Slanina et al., 2001; von Bobrutzki
et al., 2010; Puchalski et al., 2011). As the lifetime of atmospheric
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is rather short, on the order of hours to a few days, due to
efficient deposition and fast conversion to particulate matter, the existing
surface measurements are not sufficient to estimate global emissions without
inducing large errors. The lack of vertical profile information further
hampers the quantification of the budget, with only a few reported airborne
measurements (Nowak et al., 2007, 2010; Leen et al., 2013; Whitburn et al.,
2015).</p>
      <p>Advanced IR sounders such as the Infrared Atmospheric Sounding Interferometer
(IASI), the Tropospheric Emission Spectrometer (TES), and the Cross-track
Infrared Sounder (CrIS) enable retrievals of atmospheric NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Beer et
al., 2008; Coheur et al., 2009; Clarisse et al., 2009; Shephard et al., 2011;
Shephard and Cady-Pereira, 2015). The availability of satellite retrievals
provides a means to consistently monitor global NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distributions.
Global distributions derived from IASI and TES observations have shown high
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels in regions not covered by ground-based data. In this way,
more insight was gained into known and unknown NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources worldwide
including biomass burning, industry, and agricultural areas. Hence, satellite
observations have the potential to improve our knowledge of the distribution
of global emissions and their seasonal variation due to their large spatial
coverage and (bi-)daily observations (Zhu et al., 2013; Van Damme et al.,
2014a, 2015b; Whitburn et al., 2015; Luo et al., 2015). However, the
satellite observations remain poorly validated with only a few dedicated
campaigns performed with limited spatial, vertical, or temporal coverage (Van
Damme et al., 2015a; Shephard et al., 2015; Sun et al., 2015).</p>
      <p>Only a few studies have explored the quality of the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product. A
first evaluation of the IASI observations was made over Europe using the
LOTOS-EUROS model and has shown the respective consistency of the
measurements and simulations (Van Damme et al., 2014b). A first comparison
using ground-based and airborne measurements to validate the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
dataset was made in Van Damme et al. (2015a). They confirmed consistency
between the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> dataset and the available ground-based observations
and showed promising results for validation by using independent airborne
data from the CalNex campaign. Nevertheless, that study was limited by the
availability of independent measurements and suffered from representativeness
issues for the satellite observations when comparing to surface concentration
measurements. One of the key conclusions was the need for vertical profiles
(e.g. ground-based remote sensing products or upper-air in situ measurements
to compare similar quantities). Recently, Dammers et al. (2015) developed a
retrieval methodology for Fourier transform infrared spectroscopy (FTIR)
instruments to obtain remotely sensed measurements of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
demonstrated the retrieval characteristics for four sites located in
agricultural and remote areas. Here we explore the use of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total
columns obtained with ground-based FTIR at nine stations with a range of
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> pollution levels to validate the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> satellite product by
Van Damme et al. (2014a).</p>
      <p>First, we concisely describe the ground-based FTIR retrieval and
IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product datasets in Sects. 2.1 and 2.2. Next we describe the
methodology of the comparison in Sect. 2.3 followed by the presentation of
the results in Sect. 3, which are then summarized and discussed in Sect. 4.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Mean IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total column distribution for the period
between January 2008 and January 2015. The total columns are a weighted
average of the individual observations weighted with the relative error. Red
circles indicate the positions of the FTIR stations.</p></caption>
        <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Description of the satellite and FTIR datasets and validation
methodology</title>
<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{IASI-NH${}_{{3}}$ product}?><title>IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product</title>
      <p>The first global NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution was obtained by a conventional
retrieval method applied to IASI spectra (Clarisse et al., 2009), followed by
an in-depth case study, using a more sophisticated algorithm, of the
sounder's capabilities depending on the thermal contrast (defined in Van
Damme et al., 2014a, as the temperature differences between the Earth surface
and the atmosphere at 1.5 km altitude; Clarisse et al., 2010). In this study
we use the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product developed by Van Damme et al. (2014a). Their
product is based on the calculation of a dimensionless spectral index
(hyperspectral range index: HRI), which is a quantity representative of the
amount of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the total atmospheric column. This HRI is then
converted into NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns using look-up tables based on numerous
forward simulations for various atmospheric conditions. These look-up tables
relate the HRI and the thermal contrast to a total column of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Van
Damme et al., 2014a). The product includes an error characterization of the
retrieved column based on errors in the thermal contrast and HRI. Important
advantages of this method over the method by Clarisse et al. (2009) are the
relatively small computational cost, the improved detection limit, and the
ability to identify smaller emission sources and transport patterns above the
sea. One of the limitations of this method is the use of only two NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
vertical profiles: a “source profile” for land cases and a “transported
profile” for sea cases (illustrated in Van Damme et al., 2014a, Fig. 3).
Another limitation of the product is that it does not allow the calculation
of an averaging kernel to account for the vertical sensitivity of the
instrument sounding to different layers in the atmosphere. In this paper we
will use NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns retrieved from the IASI-A instrument (aboard
of the MetOp-A platform) morning overpass (AM) observations (i.e. 09:30 local
time at the Equator during overpass), which have a circular footprint of
12 km diameter at nadir and an ellipsoid shaped footprint of up to
20 km <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 39 km at the outermost angles. We will use observations
from 1 January 2008 to 31 December 2014. Figure 1 shows the mean
IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total column distribution (all observations gridded to a
0.1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid) using observations above land for
the years 2008–2014. The mean columns are obtained through a weighting with
the relative error (see Van Damme et al., 2014a). The bottom left inset shows
the corresponding relative error.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <?xmltex \opttitle{FTIR-NH${}_{{3}}$ retrieval}?><title>FTIR-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval</title>
      <p>The FTIR-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval methodology used here is described in detail in
Dammers et al. (2015), and a summary is given here. The retrieval is based on
the use of two spectral microwindows, which contain strong individual
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> absorption lines. The two spectral windows [930.32–931.32 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, MW1]
and [962.70–970.00 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, MW2] or the wider versions for
regions with very low concentrations [929.40–931.40 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, MW1 Wide] and
[962.10–970.00 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, MW2 Wide] are fitted using SFIT4 (Pougatchev et
al., 1995; Hase et al., 2004, 2006) or a similar retrieval algorithm (Hase
et al., 1999) based on the optimal estimation method (Rodgers, 2000)
to retrieve the volume mixing ratios (in ppbv) and total columns of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(in molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Major interfering species in these windows include
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Minor interfering species are N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O,
HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, CFC-12, and SF<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>. For the line spectroscopy, the HITRAN 2012
(Rothman et al., 2013) database is used with a few adjustments for CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(ATMOS, Brown et al., 1996), and sets of pseudo-lines generated by NASA-JPL
(G. C. Toon) are used for the broad absorptions by heavy molecules (i.e.
CFC-12, SF<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The a priori profiles of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are based on balloon
measurements (Toon et al., 1999) and scaled to fit common surface
concentrations at each of the sites. An exception is made for the a priori
profile at Réunion Island, where a modelled profile from the MOZART model is
used (Louisa Emmons, personal communication, 2014). There, the profile peaks
at a height of 4–5 km, as NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is expected to be due to transport of
biomass burning emissions on Réunion Island and Madagascar. For all stations,
the a priori profiles for interfering species are taken from the Whole Atmosphere
Community Climate Model (WACCM, Chang et al., 2008). Errors in the retrieval
are typically <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 % (Dammers et al., 2015), which are
mostly due to uncertainties in the spectroscopy in the line intensities of
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the temperature and pressure broadening coefficients (HITRAN
2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>FTIR-retrieved NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns (in molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Note that the
labels on the vertical axis vary for each site.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f02.png"/>

        </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" orientation="landscape"><caption><p>FTIR stations used in the analysis. The location, longitude,
latitude, and altitude are given for each station as well as the instrument
used for the measurements. Typical emission sources are mentioned in the
station specifics tab. The topography describes the geography of the region
surrounding the site. <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> gives the number of observations made during the
period of interest. Time period gives the period from which data are used. The
last column describes the used algorithm for the retrieval.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><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="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Station</oasis:entry>  
         <oasis:entry colname="col2">Long</oasis:entry>  
         <oasis:entry colname="col3">Lat</oasis:entry>  
         <oasis:entry colname="col4">Altitude</oasis:entry>  
         <oasis:entry colname="col5">Instrument</oasis:entry>  
         <oasis:entry colname="col6">Station</oasis:entry>  
         <oasis:entry colname="col7">Topography</oasis:entry>  
         <oasis:entry colname="col8">Time</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">Retrieval</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Location</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">(m a.s.l.)</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">specifics</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">period</oasis:entry>  
         <oasis:entry colname="col9"/>  
         <oasis:entry colname="col10">type</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Bremen, Germany</oasis:entry>  
         <oasis:entry colname="col2">8.85<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col3">53.10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">27</oasis:entry>  
         <oasis:entry colname="col5">Bruker 125 HR</oasis:entry>  
         <oasis:entry colname="col6">City, fertilizers, livestock</oasis:entry>  
         <oasis:entry colname="col7">Flat</oasis:entry>  
         <oasis:entry colname="col8">2008–2015</oasis:entry>  
         <oasis:entry colname="col9">278</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Toronto, Canada</oasis:entry>  
         <oasis:entry colname="col2">79.60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col3">43.66<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">174</oasis:entry>  
         <oasis:entry colname="col5">ABB Bomem DA8</oasis:entry>  
         <oasis:entry colname="col6">City, fertilizers, biomass burning</oasis:entry>  
         <oasis:entry colname="col7">On the edge of Lake Ontario</oasis:entry>  
         <oasis:entry colname="col8">2008–2015</oasis:entry>  
         <oasis:entry colname="col9">1167</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Boulder, United States</oasis:entry>  
         <oasis:entry colname="col2">105.26<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col3">39.99<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">1634</oasis:entry>  
         <oasis:entry colname="col5">Bruker 120 HR</oasis:entry>  
         <oasis:entry colname="col6">Fertilizers, biomass burning, livestock</oasis:entry>  
         <oasis:entry colname="col7">Mountain range to the west</oasis:entry>  
         <oasis:entry colname="col8">2010–2015</oasis:entry>  
         <oasis:entry colname="col9">440</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tsukuba, Japan</oasis:entry>  
         <oasis:entry colname="col2">140.13<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col3">36.05<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">31</oasis:entry>  
         <oasis:entry colname="col5">Bruker 125 HR</oasis:entry>  
         <oasis:entry colname="col6">Fertilizers, city</oasis:entry>  
         <oasis:entry colname="col7">Mostly flat, hills to the north</oasis:entry>  
         <oasis:entry colname="col8">2014–2015</oasis:entry>  
         <oasis:entry colname="col9">66</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pasadena, United States</oasis:entry>  
         <oasis:entry colname="col2">118.17<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col3">34.20<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">460</oasis:entry>  
         <oasis:entry colname="col5">MKIV_JPL</oasis:entry>  
         <oasis:entry colname="col6">City, fertilizers, biomass burning</oasis:entry>  
         <oasis:entry colname="col7">Mountain range to the east</oasis:entry>  
         <oasis:entry colname="col8">2010–2015</oasis:entry>  
         <oasis:entry colname="col9">695</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mexico City, Mexico</oasis:entry>  
         <oasis:entry colname="col2">99.18<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col3">19.33<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">2260</oasis:entry>  
         <oasis:entry colname="col5">Bruker Vertex 80</oasis:entry>  
         <oasis:entry colname="col6">City, fires, fertilizers</oasis:entry>  
         <oasis:entry colname="col7">In between mountain ranges</oasis:entry>  
         <oasis:entry colname="col8">2012–2015</oasis:entry>  
         <oasis:entry colname="col9">3980</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Saint-Denis, Réunion</oasis:entry>  
         <oasis:entry colname="col2">55.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col3">20.90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col4">85</oasis:entry>  
         <oasis:entry colname="col5">Bruker 120 M</oasis:entry>  
         <oasis:entry colname="col6">Fertilizers, biomass burning, remote</oasis:entry>  
         <oasis:entry colname="col7">Volcanic</oasis:entry>  
         <oasis:entry colname="col8">2008–2012</oasis:entry>  
         <oasis:entry colname="col9">948</oasis:entry>  
         <oasis:entry colname="col10">Wide</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wollongong, Australia</oasis:entry>  
         <oasis:entry colname="col2">150.88<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col3">34.41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col4">30</oasis:entry>  
         <oasis:entry colname="col5">Bruker 125 HR</oasis:entry>  
         <oasis:entry colname="col6">Fertilizers, biomass burning, low emissions</oasis:entry>  
         <oasis:entry colname="col7">Coastal, hills to the west</oasis:entry>  
         <oasis:entry colname="col8">2008–2015</oasis:entry>  
         <oasis:entry colname="col9">3641</oasis:entry>  
         <oasis:entry colname="col10">Wide</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lauder, New Zealand</oasis:entry>  
         <oasis:entry colname="col2">169.68<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col3">45.04<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col4">370</oasis:entry>  
         <oasis:entry colname="col5">Bruker 120 HR</oasis:entry>  
         <oasis:entry colname="col6">Fertilizers, livestock</oasis:entry>  
         <oasis:entry colname="col7">Hills</oasis:entry>  
         <oasis:entry colname="col8">2008–2015</oasis:entry>  
         <oasis:entry colname="col9">1784</oasis:entry>  
         <oasis:entry colname="col10">Normal</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p>An effort has been made to gather observations from most of the station part
of the Network for the Detection of Atmospheric Composition Change (NDACC),
which have obtained relevant solar spectra between 1 January 2008 and
31 December 2014. We excluded stations which have only retrieved or are
believed to have NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns smaller than <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during the study interval (i.e. Arctic and
Antarctic and other stations with concentrations below the expected limits of
the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product, at best <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> for
observations with high thermal contrast). Figure 1 shows the positions of the
FTIR stations used in this study. The retrieved NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns
(molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for each of the stations are shown in Fig. 2. The
number of available observations per station varies as does the range in
total columns with high values of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>100</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> observed at Bremen and low values of about
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at Saint Denis, Réunion. The following
provides a short description of each of the sites used in this study and
retrieved NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> columns (molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Additionally, a short
summary can be found in Table 1.</p>
      <p>The Bremen site was operated on the university campus by the University
of Bremen in the northern part of the city (Velazco et al., 2007). Bremen is
located in the northwest of Germany, which is characterized by intensive
agriculture. It is most suitable for comparisons with IASI given the very
high observed concentrations (Fig. 2, blue) and flat geography surrounding
the station. NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources near the measurement station include manure
application to fields, livestock housing, and exhaust emissions of local
traffic. The retrieved NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns peak in spring due to manure
application and show an increase in summer due to increased volatilization of
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from livestock housing and fields when temperatures increase during
summer.</p>
      <p>The Toronto site (Wiacek et al., 2007) is located on the campus of
the University of Toronto, Canada. The city is next to Lake Ontario with few
sources to the south. NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources are mainly due to agriculture as well
as local traffic in the city. Occasionally, NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in smoke plumes from
major boreal fires to the north and west of the city can be observed (Lutsch
et al., 2016). The retrieved columns (Fig. 2, green) show increased values
during summers as well as peaks in spring.</p>
      <p>The Boulder observation site is located at the NCAR Foothills Lab in
Boulder, Colorado, United States of America, about 60 km northwest of the
large metropolitan Denver area. It is located at 1.6 km a.s.l. on the
generally dry Colorado Plateau. Directly to the west are the foothills of the
Rocky Mountains and to the east are rural grasslands, as well as farming and
ranching facilities. Among them are large cattle feed lots to the northeast
near Greeley approximately 90 km away. The area is subject to occasional
seasonal local forest fires and also occasionally sees plumes from fires as
distant as Washington or California. The retrieved columns (Fig. 2, grey)
show the largest increase during summers.</p>
      <p>The Tsukuba site (Ohyama et al., 2009) is located at the National
Institute for Environmental Studies (NIES) in Japan. The region is a mixture
of residential and rural zones with mountains to the north. NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources
near the measurement site include manure and fertilizer applications and
exhaust emissions of local traffic in the surrounding city with a large part
originating from the Tokyo metropolitan area. The retrieved columns
(Fig. 2, red) show a general increase during the summers due to increased
volatilization rates.</p>
      <p>The Pasadena site lies on the northern edge of the Los Angeles
conurbation in the United States of America, at the foot of the San Gabriel
Mountains which rise steeply to the north to over 1.5 km altitude within
5 km distance. Local sources of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> include traffic, livestock, and
occasional fires. FTIR observations typically take place around local noon to
avoid solar obstruction by nearby buildings and morning stratus clouds, which
are common in May–July. The highest retrieved columns (Fig. 2, cyan) are observed
during the summers.</p>
      <p>The Mexico City site is located on the campus of the National
Autonomous University of Mexico (UNAM) at 2280 m a.s.l., south of the
metropolitan area. Surface NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations were measured by active
open-path FTIR during 2003 with typical values between 10 and 40 ppb (Moya et
al., 2007). The megacity is host to more than 22 million inhabitants, over
5 million motor vehicles, and a wide variety of industrial activities. Low
ventilation during night and morning causes an effective accumulation of the
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and other pollutants in Mexico City, which is located in a flat
basin surrounded by mountains. The concentration and vertical distribution of
pollutants are dominated by the large emissions and the dynamics of the
boundary layer, which is on average 1.5 km height during the IASI morning
overpass (Stremme et al., 2009, 2013). The retrieved columns (Fig. 2, orange)
show an increase during the summers as well as a large daily variation.</p>
      <p>The measurement site on the university campus of Saint Denis (Senten
et al., 2008) is located on the remote Réunion Island in the Indian Ocean.
Observed NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> columns (Fig. 2, purple) are usually low due to the lack of
major sources near the site, but increases are observed during the fire
season (September–November) with possible fire plumes originating from
Madagascar, as already observed in another study involving short-lived
species (Vigouroux et al., 2009). Local NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions include fertilizer
applied for sugar cane production and local biomass burning.</p>
      <p>The Wollongong site is located on the campus of the University of
Wollongong. The city of Wollongong is on the southeast coast of Australia
with the university only about 2.5 km from the ocean. The measurement site
is also influenced by a 400 m escarpment 1 km to the west and the city of
Sydney 60 km to the north. NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources come mainly from city traffic,
as well as seasonal forest fires that can produce locally high amounts of
smoke and subsequent NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Paton-Walsh et al., 2005). The
retrieved columns (Fig. 2, brown) peak during the summer season due to the
higher temperatures and seasonal forest fires.</p>
      <p>The Lauder (Morgenstern et al., 2012) National Institute of Water
and Atmospheric Research (NIWA) station in Central Otago, New Zealand, is
located in a hilly region with NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions in the valley surrounding
the station mostly due to livestock grazing and fertilizer application. The
observed columns (Fig. 2, black) show a general increase during summers due
to increased volatilization rates.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>FTIR and satellite comparison methodology</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Co-location and data criteria</title>
      <p>NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is highly variable in time and space, which complicates the
comparison between the IASI and FTIR observations. Therefore collocation
criteria were developed to investigate and mitigate the effect of the spatial
and temporal differences between the FTIR and IASI observations on their
correlation. So far, there is no model to describe the representativeness of
a site for the region so a simple criterion was initially derived by
analysing the terrain around each site and comparing the correlation of the
IASI and FTIR observations for multiple time and spatial differences to find
the best correlation. To illustrate the differences between the
representativeness of the sites we take the stations at Bremen, Lauder, and
Wollongong as examples. Around Bremen the terrain is flat with high reported
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions (Kuenen et al., 2014) in the region surrounding the city.
In contrast, Lauder is located in a hilly region with low NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions
mostly due to local livestock grazing and fertilizer application in the
surrounding valleys (EDGAR, 2011). Owing to the flat terrain, the region
around Bremen should, in principle, have more homogeneous concentrations than
Lauder. A more extreme case for geographical inhomogeneity is Wollongong.
Wollongong is located at the coast near a 400 m escarpment without major
nearby NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources. Hence increasing distances between the satellite
measurement pixel centre and the station may negatively impact the comparison
due to the short lifetime of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and the limitation on transport of
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to the site by the terrain (i.e. representativeness problems).
Because no uniform criterion was found that would enable a good comparison
for all stations, multiple criteria with a maximum difference of between 10
and 50 km will be used to analyze the optimal setting for each of the sites.
Vertical sampling differences are not taken into consideration in this study.
However, the IASI selection criterion on the thermal contrast is
conservative, and only those measurements for which IASI has a good
sensitivity to surface concentrations are selected.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Applied data filters to the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Filter</oasis:entry>  
         <oasis:entry colname="col2">Filter criteria</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Elevation</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>|</mml:mo></mml:math></inline-formula>FTIR station – IASI_Observation<inline-formula><mml:math display="inline"><mml:mo>|</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 300 m</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Thermal contrast</oasis:entry>  
         <oasis:entry colname="col2">Thermal contrast <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 12 K</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Surface temperature</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 275.15 K</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval error</oasis:entry>  
         <oasis:entry colname="col2">None</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud cover fraction</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Spatial sampling difference</oasis:entry>  
         <oasis:entry colname="col2">50 km <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> 10 km, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> km</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Temporal sampling difference</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 90 min</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS3.SSSx1" specific-use="unnumbered">
  <title>Topography</title>
      <p>Any hill or mountain range located between the satellite pixel and the FTIR
station may inhibit transport and decrease their comparability. To account
for the topography we only used observations that have at maximum an altitude
difference of 300 m (in) between the location of the FTIR and the IASI pixel
position. The 300 m criterion was chosen based on tests using the FTIR and
satellite observations from Lauder. For the calculation of the height
differences we used the Space Shuttle Radar Topography Mission Global product
at 3 arcsec resolution (SRTMGL3, Farr et al., 2007).</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx2" specific-use="unnumbered">
  <title>Temporal variation</title>
      <p>NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations can vary considerably during the day, with lifetimes
as short as a few hours not being uncommon (Dentener and Crutzen, 1994;
Bleeker et al., 2009). The variability of the concentrations mainly arises
from the variability in emission strengths as influenced by agricultural
practices; meteorological and atmospheric conditions such as temperature,
precipitation, wind speed, and direction; the development of the boundary
layer (which is important as the IASI satellite observations take place
around 09:30 local time and thus the boundary layer has not always been fully
established), pollution level, and deposition rates. To minimize the effects
of this variability on the comparability of the IASI and FTIR observations,
satellite observations with a time difference to FTIR observation of no more
than 90 min were used.</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx3" specific-use="unnumbered">
  <title>Product error</title>
      <p>The error of the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> columns derives from errors on the HRI and the
thermal contrast (Van Damme et al., 2014a). Applying relative error filters
of 50, 75, and 100 % showed that mostly lower concentrations are removed
from the comparison. Consequently, introducing any criteria based on the
associated (relative) error will bias any comparison with FTIR columns
towards the higher IASI total columns. Therefore, we decided not to filter
based on the relative error as it skews the range of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> column totals.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS3.SSSx4" specific-use="unnumbered">
  <title>Meteorological factors</title>
      <p>The lowest detectable total column of the retrieval depends on the thermal
contrast of the atmosphere (Van Damme et al., 2014a). For example, the
retrieval has a minimum detectable NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> column of around
5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math 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> at a thermal contrast of about
12 K for columns using the “transported” profile. A thermal contrast of
12 K is chosen as the threshold to ensure the quality of the IASI
observations, which represents a lapse rate of around 8 K km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
altitude, near standard atmospheric conditions. We excluded data for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>skin</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> temperatures below 275.15 K to introduce a basic filter for
snow cover and conditions with frozen soils. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>skin</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> temperatures
are obtained from the IASI L2 temperature profiles, which have an uncertainty
of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 K at the surface (August et al., 2012). Finally, only IASI
observations with a cloud cover below 10 % are used.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Correlation <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> (blue lines, left figures), slope (red lines, left
figures) regression results, mean relative difference (MRD, green lines,
right figures) and mean absolute difference (MAD, black lines, right figures)
between IASI and FTIR observations as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for a
selection of sites. Bars indicate the standard deviation of the slope of the
individual regression results. The numbers in the bottom of each subfigure
show the number of matching observations. The numbers on the left and right
side of the stations name give the mean FTIR and IASI total columns for an
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f03.png"/>

          </fig>

      <p>The complete list of selection criteria is summarized in Table 2.</p>
</sec>
<sec id="Ch1.S2.SS3.SSSx5" specific-use="unnumbered">
  <title>Quality of the FTIR observations</title>
      <p>No filters were applied to maximize the number of observations usable in the
comparison. The resolution and detection limit of the FTIR instruments is
usually better than that of the IASI instrument, leading to retrieved columns
with, in principle, less uncertainty. Overall the FTIR retrievals show an
error of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 % or less with the largest errors due to the
spectroscopic parameters (Dammers et al., 2015). While artefacts are possible
in the data we did not investigate for specific artefacts and possible
impacts.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Application of averaging kernels</title>
      <p>When performing a direct comparison between two remote sensing retrievals,
one should take into account the vertical sensitivity and the influence of a
priori profiles of both methods. One method to remove the influence of the a
priori profile and the vertical sensitivity is the application of the
averaging kernels of both retrievals to the retrieved profiles of both
products. The IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> HRI-based product scheme, however, does not
produce averaging kernels. Thus it is not possible to account for the
vertical sensitivity of the satellite retrieval. The effect of the lack of
the satellite averaging kernel is hard to predict, so the satellite vertical
sensitivity is only taken into account through the selection criterion on the
thermal contrast. Nonetheless following the method described in Rodgers and
Connor (2003), the FTIR averaging kernel <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> is applied to the IASI
profile <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to account for the effects of the a priori
information and vertical sensitivity of the FTIR retrieval (the assumed
profiles, called “land” and “sea” are described in Van Damme et al.,
2014a). The IASI profiles are not fully retrieved profiles but fixed shape
profiles used as an assumption in the IASI retrieval (see Van Damme et
al., 2015a). These fixed profiles are used for scaling purposes to be able to
account for the FTIR averaging kernel. A total column averaging kernel could
be used instead, but in principle is similar to the procedure described here.
The IASI profile is first mapped to the altitude grid of the FTIR profile by
using interpolation, forming <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">sat</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>.
Applying Eq. (1), the smoothed IASI profile <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi mathvariant="normal">sat</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
calculated indicating what the FTIR would retrieve when observing the
satellite profile, which is then used to compute a total column. This profile
can then be compared with the FTIR profile.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Time series of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> for IASI and FTIR datasets with
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 90 min (FTIR: blue and
IASI: red). Scattered values are the observations for each day of year
(multiple years of observations). The lines show the monthly mean total
columns of the respective sets.</p></caption>
            <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f04.png"/>

          </fig>

      <p><disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">sat</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">apriori</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>(</mml:mo><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">sat</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">apriori</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>
            After the application of the averaging kernel, for each FTIR observation,
all satellite observations meeting the coincident criteria are averaged into
a single mean total column value to be compared with the FTIR value. If
multiple FTIR observations match a single satellite overpass, taking into
account the maximum time difference, the FTIR observations are also averaged
into a single mean total column value.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>The influence of spatial differences between observations</title>
      <p>Following the approach of Irie et al. (2012) we will first show the
correlation <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, the slope as well as the mean relative difference (MRD), and
the mean absolute difference (MAD) between satellite (<inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) and FTIR
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns (<inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis) for each of the sites, as a function of the
maximum allowable spatial difference between the observations
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The relative difference (RD) is defined here as
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mtext>RD</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mtext>IASI column</mml:mtext><mml:mo>-</mml:mo><mml:mtext>FTIR column</mml:mtext></mml:mfenced><mml:mo>×</mml:mo><mml:mn>100</mml:mn></mml:mrow><mml:mtext>FTIR column</mml:mtext></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          A maximum relative difference of 200 % was used to remove extreme
outliers from the data, typically observations under wintertime conditions.
The left side of Fig. 3 shows the correlation coefficients (blue lines) and
slope (red lines) for a selection of sites as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
using a maximum allowed sampling time difference of 90 min. The right side
of Fig. 3 shows the MRD and MAD between the satellite and FTIR observations
as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The numbers on the bottom of each of the
subfigures show the number of observations used in the comparison. The values
in bold beside the title of each subplot give the mean concentrations of the
IASI and FTIR observations. The bars indicate the standard deviation of the
slope (left-side figures) and the relative and absolute differences
(right-side figures).</p>
      <p>For most stations an increasing <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 3) means a decreasing
correlation (blue lines) and a changing slope (either decreasing or
increasing with distance, red lines). This can be explained by the local
character and high variation of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions/concentration in
combination with the locations of the stations. Moving further away from a
source will then generally decrease the relation between the concentration in
the air and the emission source. The same is true for satellite observations
of the air concentrations, which have a large footprint compared to the local
character of a point measurement (FTIR) and the emissions. The steepness of
this decrease (or increase) tells us something about the local variation in
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, which can be large for sites near heterogeneous
emission sources or in cases with low transport/turbulence and thus overall
relatively low mixing.</p>
      <p>Overall the highest correlations are seen at the Bremen site, which can
partially be explained by the overall high number of observations with high
concentrations (more than 15–20 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math 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>),
which generally favours the correlations. The mean column totals as well as
the MRD and MAD do not change much except for the smallest <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
criteria. The larger changes for observations within 15 km are probably due
to the smaller number of observations (which follows from the relatively few
IASI observations directly above or near the stations). The results show an
underestimation of observed columns by IASI with the “all stations” slopes
in between <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.6–0.8. The stations with a lower mean FTIR column
totals, such as Toronto and Boulder (as well as Pasadena, Mexico City, and
Lauder shown in Appendix Fig. A1), show lower correlations with most having
slopes below 1. The correlations decreasing with mean column totals point
towards the product detection limits of the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product. The
Toronto site has lower correlation coefficients for the smallest xdiffs, but
this seems to be due to the large drop in number of observations for an
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 15 km. For higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> criteria the
correlation of the Toronto site shows results similar to Bremen. The
observations at Boulder also show large differences when including more
observations further away from the station. This can be explained by the land
use surrounding the Boulder site. Immediately west of the measurement site is
a mountain range which together with our elevation filter leads to rejection
of the observations to the west. To the northeast there are some major
farming areas surrounding the river banks. Correlations do increase with a
decreasing <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, suggesting that IASI is able to resolve the large
gradients in the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations near the site.</p>
      <p>From the correlation analysis as a function of spatial coincidence, we
conclude that an <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value of 25 km is recommended to make a
fair comparison between IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and FTIR. Any criterion smaller than
15 km greatly reduces the number of observations and statistics.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values beyond 25 km further decrease the correlations for
the combined set. From this point onward an <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value of 25 km
will be used.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Comparison of FTIR and IASI NH${}_{3}$ data}?><title>Comparison of FTIR and IASI NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data</title>
      <p>Observations from multiple years are used to show the coincident seasonal
variability of the FTIR and IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> products for each of the sites
(Fig. 4, FTIR: blue, IASI: red). Observations are grouped together into a
typical year as there are insufficient collocated observations to show an
inter-annual time series. Note the different scales on the <inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis. Similar
seasonal cycles are clearly observed in both datasets for most stations.
Enhanced concentrations in spring are observed for Bremen and Toronto as well
as Boulder due to manure application. Most of the sites show an increase of
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> during the summer months, which is likely due to the increased
volatilization of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> as an effect of higher temperatures. Fire events
that were captured earlier by FTIR at Saint Denis in November, as well as in
the IASI data, are not observed in the collocated sets, which is due to a
lack of coincident observations. Furthermore, there is a lack of observations
in wintertime for most of the stations either due to low thermal contrast or
due to overcast conditions. Tsukuba has observations above the detection
limit but only 1 year of infrequent observations, which is insufficient to
show an entirely clear seasonal cycle. A similar thing can be said for
Pasadena, where there are too few coincident observations to make
meaningful conclusions about the seasonal cycle. In conclusion, IASI reflects
similar pollution levels and seasonal cycles as deduced from the FTIR
observations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Correlations between the FTIR and IASI total columns with filters
thermal contrast <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 12 K, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 90 min,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km. The trend line shows the results of the
regression analysis.</p></caption>
          <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f05.png"/>

        </fig>

      <p>Figures 5 and 6 show a direct comparison of the FTIR and IASI NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total
columns for each station as well as a combination of all the observations.
Correlations, number of observations, and slope are shown in the figures. The
MRD and these statistics are also summarized in Table 3. The comparison shows
a variety of results. As before, of all nine stations Bremen shows the best
correlation with a coefficient of determination of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>0.83</mml:mn></mml:mrow></mml:math></inline-formula> and a slope of
0.60. The intercept is not fixed at zero. The stations with overall lower
observed total columns (less than <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
show lower correlations. Stations with intermediate concentrations like
Toronto and Boulder show correlations <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>∼</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:math></inline-formula>–0.8.
Figure 5 also shows
the relatively low number of high observations for both the FTIR and IASI
values as a result of the relatively few FTIR observations during events. The
few outliers can have a disproportional effect on the slope as most of the
lower observations are less accurate due to the detection limits of the
instruments. Overall most stations, except Saint Denis, Boulder, and Mexico
City, indicate an underestimation by IASI of the FTIR columns ranging from 10
to 50 %. The mean relative differences for most stations are negative
with most showing values within <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (54.0) % for Bremen down
to a <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>61.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (78.7) % for Saint Denis. The bias shows some
dependence on the total columns with the underestimation being higher at
stations with high mean total columns and lower at stations with low mean
total columns. An exception to this is stations with the lowest mean total
columns (i.e. Saint Denis and Wollongong). The differences at Saint Denis
could be explained by the fact that most IASI observations are positioned
above water due to restrictions for terrain height differences. A similar
thing can be said for Wollongong, which is situated on the coast with hills
directly to the inland. Most observations are on the border of water and
land, which might introduce errors in the retrieval. The combination of all
observations gives a MRD of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (56.3) %.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p>Summarized results of the comparison between FTIR-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns within the coincidence criteria threshold
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 90 min). <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the
number of averaged total columns, MRD is the mean relative difference (in
%), <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> and slope are the correlation coefficient and slope of the linear
regression.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Sites</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">MRD in % (rms 1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">slope</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Bremen</oasis:entry>  
         <oasis:entry colname="col2">53</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (54.0)</oasis:entry>  
         <oasis:entry colname="col4">0.83</oasis:entry>  
         <oasis:entry colname="col5">0.60</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Toronto</oasis:entry>  
         <oasis:entry colname="col2">170</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>46.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (47.0)</oasis:entry>  
         <oasis:entry colname="col4">0.79</oasis:entry>  
         <oasis:entry colname="col5">0.84</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Boulder</oasis:entry>  
         <oasis:entry colname="col2">38</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (43.5)</oasis:entry>  
         <oasis:entry colname="col4">0.76</oasis:entry>  
         <oasis:entry colname="col5">1.11</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tsukuba</oasis:entry>  
         <oasis:entry colname="col2">15</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (35.6)</oasis:entry>  
         <oasis:entry colname="col4">0.67</oasis:entry>  
         <oasis:entry colname="col5">0.57</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Pasadena</oasis:entry>  
         <oasis:entry colname="col2">16</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>47.9 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (30.1)</oasis:entry>  
         <oasis:entry colname="col4">0.59</oasis:entry>  
         <oasis:entry colname="col5">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mexico</oasis:entry>  
         <oasis:entry colname="col2">65</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (43.9)</oasis:entry>  
         <oasis:entry colname="col4">0.64</oasis:entry>  
         <oasis:entry colname="col5">1.14</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Saint Denis</oasis:entry>  
         <oasis:entry colname="col2">20</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>61.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (78.7)</oasis:entry>  
         <oasis:entry colname="col4">0.65</oasis:entry>  
         <oasis:entry colname="col5">1.26</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wollongong</oasis:entry>  
         <oasis:entry colname="col2">62</oasis:entry>  
         <oasis:entry colname="col3">6.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (74.3)</oasis:entry>  
         <oasis:entry colname="col4">0.47</oasis:entry>  
         <oasis:entry colname="col5">0.92</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Lauder</oasis:entry>  
         <oasis:entry colname="col2">108</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (57.3)</oasis:entry>  
         <oasis:entry colname="col4">0.55</oasis:entry>  
         <oasis:entry colname="col5">0.77</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Combined</oasis:entry>  
         <oasis:entry colname="col2">547</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (56.3)</oasis:entry>  
         <oasis:entry colname="col4">0.80</oasis:entry>  
         <oasis:entry colname="col5">0.73</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Correlations between the FTIR and IASI total columns with filters
thermal contrast <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 12, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 90 min,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km. The trend lines show the results of the
regression analysis.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f06.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion and conclusions</title>
      <p>Recent satellite products enable the global monitoring of atmospheric
concentrations of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Unfortunately, the validation of the satellite
products of IASI (Van Damme et al., 2014a), TES (Shephard et al., 2011), and
CrIS (Shephard and Cady-Pereira, 2015) is very limited and, so far, only based on
sparse in situ and airborne studies. Dammers et al. (2015) presented FTIR
total column measurements of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at several places around the world and
demonstrated that these data can provide information about the temporal
variation of the column concentrations, which are more suitable for
validation than ground-level concentrations. Ground-based remote sensing
instruments have a long history for validation of satellite products. FTIR
observations are already commonly used for the validation of many satellite
products, including carbon monoxide (CO), methane (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and nitrous
oxide (N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) (Wood, 2002; Griesfeller et al., 2006; Dils et al.,
2006; Kerzenmacher et al., 2012). Furthermore, MAX-DOAS systems are used for
the validation of retrievals for reactive gases (e.g. Irie et al., 2012),
whereas AERONET is widely used to validate satellite-derived aerosol optical
depth (e.g. Schaap et al., 2008). The comparison between FTIR and IASI
NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> column reported here can be seen as a first step in the validation
of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> satellite products.</p>
      <p>In this study, we collected FTIR measurements from nine locations around the
world and followed the retrieval described by Dammers et al. (2015). The
resulting datasets were used to quantify the bias and evaluate the seasonal
variability in the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product. Furthermore, we assessed the
colocation criteria for the satellite evaluation. Additional selection
criteria based on thermal contrast, surface temperature, cloud cover, and
elevation differences between observations were applied to ensure the
quality of the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations. The FTIR averaging kernels were
applied to the satellite profiles to account for the vertical sensitivity of
the FTIR and the influence of the a priori profiles.</p>
      <p>To optimally compare the satellite product to the FTIR observations it is
best to reduce the spatial collocation criterion to the size of the satellite
instrument's footprint and allow for a time difference as short as possible.
These considerations are to reduce effects of transport, chemistry, and
boundary layer growth but limit the number of coinciding observations
significantly. We have shown that the spatial distance between the IASI
observations and the FTIR measurement site is of importance: the larger the
distance in space, the lower the correlation. When there is no exact match in
the position of both observations the variations in the spatial separation
lead to correlation coefficients that can greatly change even when changing
the spatial criteria (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) from 10 to 30 km. Reasons for the
changes are the local nature of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions, the surrounding terrain
characteristics, and their influence on local transport of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The
small values for spatial and temporal coincidence criteria show the
importance of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> sources near the measurement sites when using these
observations for satellite validation. For the validation of the IASI
observations, we used an <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of less than 25 km, which still
showed high correlations while a large number of observations are retained
for comparison.</p>
      <p>Overall we see a broad consistency between the IASI and FTIR observations.
The seasonal variations of both datasets look similar for most stations.
Increased column values are observed for both IASI and FTIR during summers as
the result of higher temperatures, with some sites showing an increase in
concentrations due to manure application and fertilization events in spring
(Bremen, Toronto). In general our comparison shows that IASI underestimates
the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns, except for Wollongong. The Wollongong site has
persistent low background columns, i.e. observations with a low HRI, to which
IASI is not very sensitive, which results in an overestimation of the
observed columns. Overall, correlations range from <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>∼</mml:mo><mml:mn>0.8</mml:mn></mml:mrow></mml:math></inline-formula> for stations
characterized by higher NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> column totals (with FTIR columns up to
80 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to low <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>∼</mml:mo><mml:mn>0.4</mml:mn></mml:mrow></mml:math></inline-formula>–0.5
correlations for stations, which only have a few to no FTIR observations
above 5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math 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>. Hence, the detection
limit or sensitivity of the IASI instrument largely explains the lower
correlation values. The combination of all sites (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>547</mml:mn></mml:mrow></mml:math></inline-formula>) gives
a MRD of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> (56.3) %, a correlation <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of 0.8 with a slope
of 0.73.</p>
      <p>In comparison to ground-based in situ systems, the FTIR observations have the
big advantage to provide coarse vertical profiles, from which a column can be
derived, which are more similar to what the satellite measures and therefore
more useful for validation. Dedicated NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> validation datasets are needed
that better match the overpass times of satellite instruments like IASI, TES,
and CrIS. This could be achieved by the addition of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to the NDACC
measurement protocols and matching the overpass time of these satellites over
these measurement stations by using of the right spectral filters for
detecting NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Furthermore, the low number of NDACC stations and their
locations are not optimal for a dedicated validation of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> satellite
products. Although these provide a starting point, the small set of stations
does not cover the entire range of climate conditions, agricultural source
types, and emission regimes. Hence, our validation results should be seen as
indicative. Additional stations or dedicated field campaigns are needed to
improve this situation. New stations should be placed in regions where
emissions and geography are homogenous to ensure that stations are
representative for the footprints of the satellites. For validation of
satellite products using FTIR measurements a monitoring and measurements
strategy needs to be developed with a representative mixture of locations in
addition to ground-level data. The latter can cover the spatial variation, and
different temporal measurements can be used. The use of IASI and FTIR
observations to study NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distributions at ground level requires a
combination of model calculations and observations (e.g. Erisman et al.,
2005a, b). Such techniques are required to provide all the necessary details
to describe the high spatial and temporal variations in NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>The direct comparison of the IASI and FTIR columns is an addition to earlier
efforts by Van Damme et al. (2015a) to validate IASI column observations with
surface in situ and airborne observations. Our results presented here
indicate that the product performs better than the previous upper-bound
estimate of a factor of 2 (i.e. <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>100 %) as reported in Van
Damme et al. (2014a). Although we tried to diminish any effect of sampling
time and position, it cannot be ruled out completely that these impact the
comparison statistics as the number of stations is small. Still the picture
arising from the different stations is rather consistent, which hints at
other issues that may explain the observed bias. A number of important issues
concerning the retrieval techniques may explain the observed difference.
First, the HRI-based retrieval used for IASI is intrinsically different to
the optimal estimation-based approach used for the FTIR retrieval. An IASI
optimal estimation retrieval for NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> called FORLI does exist but is not
fully operationally used as it is computationally much slower than the HRI
method. Surprisingly a first comparison between the FORLI- and HRI-based
retrieval (see Fig. 9, Van Damme et al., 2014a) shows <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 % lower
retrieved columns by the HRI scheme, which is very close to the systematic
difference quantified here. Note that the results are not fully comparable as
the reported HRI–FORLI comparison was for a limited dataset and no quality
selection criteria were applied. We recommend to further explore the use of
the optimal estimation-based IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval in comparison to the
FTIR observations. Second, the IASI and FTIR retrievals incorporate the same
line spectroscopy database (HITRAN 2012; Rothman et al., 2013), which removes
a possible error due to different spectroscopy datasets. The spectroscopy is
the largest expected cause of error in the FTIR observations with measurement
noise being the close second for sites with low concentrations. An
improvement to the line parameters (i.e. line intensity, pressure, and
temperature effects) would greatly benefit both the FTIR and IASI retrievals.
Thirdly, the HRI-based scheme uses the difference between spectra with and
without the spectral signature of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. A plausible cause for error in
this scheme is the influence and correlation of interfering species in the
same spectral channels. H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O lines occur near most of the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
spectral lines and interfere with the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> lines at the resolution of the
IASI instrument. Humidity levels vary throughout the year with an increased
amount of water vapour in summer conditions. The HRI-based scheme uses a
fixed amount of water vapour, and varying amounts of water vapour may
interfere with the HRI value attributed fully to the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> columns. As
there is a seasonality in the water vapour content of the atmosphere (Wagner
et al., 2006), any error attributed to water vapour should show a seasonality
in the difference between the IASI and FTIR observations. A seasonality was,
however, not visible although it may be that the number of coincident
observations was too small to recognize it. This again shows the need for
dedicated NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> validation data (e.g. dedicated FTIR observations).
Fourth, the negative bias of the satellite observations can be expected by
the lack of sensitivity to concentrations near the surface. This is of course
where the ammonia concentrations usually peak. The FTIR observations however
do fully observe the lower layers in the troposphere, thus causing a
discrepancy. Normally one can correct for this using the averaging kernel of
the satellite observations. However, the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval does not
produce an averaging kernel, meaning it is not possible to calculate the
exact effect. The use of a typical averaging kernel will cause more
uncertainty as there is a large day-to-day variability in the averaging
kernels as earlier retrievals showed (Clarisse et al., 2009). Finally,
another possible cause of error is the lack of a varying NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profile and
the proxy used for thermal contrast to describe the state of the atmosphere.
The sensitivity of the scheme to the concentrations of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the
boundary layer is described by using a fixed profile for land and sea
observations in combination with a thermal contrast based on two layers
(surface and 1.5 km) as it is expected that most of the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> occurs in
the boundary layer. In reality the NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profile is highly dynamic due to
a varying boundary layer height and changing emissions as well as temperature
changes (e.g. inversions) occurring throughout the planetary boundary layer.
Not accounting for this can introduce an error and future HRI-based schemes
should focus on estimating the possible effects of using only a specific
profile. The use of multiple NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profiles in combination with multiple
temperature layers would be a better approximation of the state of the
atmosphere, although computationally more expensive. The sharp difference
between the sea and land retrieval introduces strong variability in
observations near the coast. Furthermore, observations that are directly on
the transition between water and land can introduce problems due to the
varying emissivity. Similar issues have been reported for aerosol retrievals
(e.g. Schaap et al., 2008).</p>
      <p>Although the FTIR observations offer some vertical information, studies
combining this technique with tower or airborne observations are needed to
further improve knowledge and sensitivity of the FTIR and satellite
observations to the vertical distribution of NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Without this
knowledge, it is not possible<?xmltex \hack{\vadjust{\newpage}}?> to use the
observations for quantitative emission estimates and modelling purposes as no
uncertainty on the new estimate can be given. Approaches similar to the
recent study by Shephard et al. (2015) using an airborne instrument, possibly
in combination with an FTIR system focused on the overpass of multiple
satellite systems for an extended period of time, should be used to establish
the sensitivities and biases of the different retrieval products available
from satellite instruments as well as the bias between the satellite and
surface instruments. The use of IASI and FTIR observations to study NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
distributions at ground level requires a combination of model calculations
and observations. Such techniques are required to provide all the necessary
details to describe the high spatial and temporal variations in NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S5">
  <title>Data availability</title>
      <p>The IASI-NH3 product is freely available at
<uri>http://www.pole-ether.fr/etherTypo/index.php?id=1700&amp;L=1</uri> (Van Damme et
al., 2015a). FTIR-NH3 data (Dammers et al., 2015) can be made available on
request (M. Palm, Institut für Umweltphysik, University of Bremen,
Bremen, Germany).</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <title/>
      <p>This section further covers the other stations, in addition to the sites
covered by Sect. 3.1.</p>
      <p>The results for Mexico City show an overall constant correlation coefficient
except for small criteria <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 km. The slope also decreases towards
values seen at other stations. This effect could be due to a large number of
sources inside the city, i.e. automobile and agricultural emissions in and
near the city, increasing the heterogeneity of the found column totals.
Réunion and Tsukuba have few coincident observations leading to only a
few significant comparisons. This, combined with the low concentrations
measured at Réunion, leads to large differences in the mean and standard
deviations of the subsequent <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> sets. The Réunion and
Wollongong observations are at the sensitivity limit of the IASI-NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
retrieval, which limits the usefulness of the sites for the validation. As
there are only a few observations for Tsukuba it is hard to make meaningful
conclusions on the variability around the site.</p>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F1"><caption><p>Correlation <inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> (blue lines, left figures), slope (red lines, left
figures) regression results, mean relative difference (MRD, green lines,
right figures) and mean absolute difference (MAD, black lines, right figures)
between IASI and FTIR observations as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for all
sites. Bars indicate the standard deviation of the slope of the individual
regression results. The numbers in the bottom of each subfigure show the
number of matching observations. The numbers on the left and right side of
the station name give the mean FTIR and IASI total columns for an
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>diff</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 25 km.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/10351/2016/acp-16-10351-2016-f07.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</app>
  </app-group><ack><title>Acknowledgements</title><p>This work is part of the research programme GO/12-36, which is financed by
the Netherlands Organisation for Scientific Research (NWO). The Lauder NIWA
FTIR programme is funded through the New Zealand government's core research
grant framework from the Ministry of Business, Innovation and Employment. We
thank the Lauder FTIR team for their contribution. We acknowledge
the Université de La Réunion and CNRS (LACy-UMR8105 and
UMS3365) for their support of the Réunion Island measurements. The Réunion
Island data analysis has mainly been supported by the A3C project (PRODEX
Programme of the Belgian Science Policy Office, BELSPO, Brussels). The
University of Toronto's NDACC contribution has been supported by the CAFTON
project, funded by the Canadian Space Agency's FAST programme. Measurements
were made at the University of Toronto Atmospheric Observatory (TAO), which
has been supported by CFCAS, ABB Bomem, CFI, CSA, EC, NSERC, ORDCF, PREA, and
the University of Toronto. Part of this research was performed at the Jet
Propulsion Laboratory, California Institute of Technology, under contract
with NASA. IASI has been developed and built under the responsibility of the
“Centre national d'études spatiales” (CNES, France). It is flown
on-board the Metop satellites as part of the EUMETSAT Polar System. The IASI
L1 data were received through the EUMETCast near-real-time data distribution
service.</p><p>The IASI-related activities in Belgium were funded by Belgian Science Policy
Office through the IASI Flow Prodex arrangement
(2014–2018). Pierre.-F. Coheur, Lieven Clarisse, and Martin Van Damme also thank the
FRS-FNRS for financial support. Lieven Clarisse is a research associate with
the Belgian F.R.S-FNRS. Cathy Clerbaux is grateful to CNES for scientific
collaboration and financial support. The National Center for Atmospheric
Research is supported by the National Science Foundation. The Boulder
observation programme is supported in part by the Atmospheric Chemistry
Observations &amp; Modeling Division of NCAR. The measurement programme and
NDACC site at Wollongong have been supported by the Australian Research
Council for many years, most recently by grants DP110101948 and LE0668470.
The Mexico City site was funded through projects UNAM-DGAPA (109914) and
CONACYT (249374, 239618). A. Bezanilla, J. Baylón, and E. Plaza are
acknowledged for their participation in the measurements and analysis. We
would like to thank David Griffith, Clare Murphy, and Voltaire Velazco at the
School of Chemistry, University of Wollongong, for maintaining Fourier
transform spectroscopy (FTS) instrumentation and conducting FTS measurements.
We are grateful to the many colleagues who have contributed to FTIR data
acquisition at the various sites.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by:
R. Müller<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>An evaluation of IASI-NH<sub>3</sub> with ground-based Fourier transform infrared spectroscopy measurements</article-title-html>
<abstract-html><p class="p">Global distributions of atmospheric ammonia (NH<sub>3</sub>)
measured with satellite instruments such as the Infrared Atmospheric
Sounding Interferometer (IASI) contain valuable information on NH<sub>3</sub>
concentrations and variability in regions not yet covered by ground-based
instruments. Due to their large spatial coverage and (bi-)daily overpasses,
the satellite observations have the potential to increase our knowledge of
the distribution of NH<sub>3</sub> emissions and associated seasonal cycles.
However the observations remain poorly validated, with only a handful of
available studies often using only surface measurements without any vertical
information. In this study, we present the first validation of the
IASI-NH<sub>3</sub> product using ground-based Fourier transform infrared spectroscopy (FTIR)
observations. Using a recently developed consistent retrieval strategy,
NH<sub>3</sub> concentration profiles have been retrieved using observations from
nine Network for the Detection of Atmospheric Composition Change (NDACC)
stations around the world between 2008 and 2015. We demonstrate the importance
of strict spatio-temporal collocation criteria for the comparison. Large
differences in the regression results are observed for changing intervals of
spatial criteria, mostly due to terrain characteristics and the short
lifetime of NH<sub>3</sub> in the atmosphere. The seasonal variations of both
datasets are consistent for most sites. Correlations are found to be high at
sites in areas with considerable NH<sub>3</sub> levels, whereas correlations are
lower at sites with low atmospheric NH<sub>3</sub> levels close to the detection
limit of the IASI instrument. A combination of the observations from all
sites (<i>N</i><sub>obs</sub> = 547) give a mean relative difference of −32.4 ± (56.3) %, a
correlation <i>r</i> of 0.8 with a slope of 0.73. These results give an improved
estimate of the IASI-NH3 product performance compared to the previous upper-bound estimates (−50 to +100 %).</p></abstract-html>
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