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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</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/amt-10-2645-2017</article-id><title-group><article-title>Validation of the CrIS fast physical NH<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval <?xmltex \hack{\newline}?> with ground-based FTIR</article-title>
      </title-group><?xmltex \runningtitle{Validation of the CrIS fast physical NH${}_{{3}}$ retrieval with ground-based FTIR}?><?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>enrico.dammers@gmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Shephard</surname><given-names>Mark W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2867-9612</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Palm</surname><given-names>Mathias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7191-6911</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Cady-Pereira</surname><given-names>Karen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff16">
          <name><surname>Capps</surname><given-names>Shannon</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="aff7">
          <name><surname>Hannigan</surname><given-names>James W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4269-1677</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Ortega</surname><given-names>Ivan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0067-617X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Toon</surname><given-names>Geoffrey C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <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="aff9">
          <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="aff10">
          <name><surname>Jones</surname><given-names>Nicholas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Smale</surname><given-names>Dan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Siemons</surname><given-names>Jacob</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Hrpcek</surname><given-names>Kevin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Tremblay</surname><given-names>Denis</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Schaap</surname><given-names>Martijn</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Notholt</surname><given-names>Justus</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>Environment and Climate Change Canada, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institut für Umweltphysik, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Atmospheric and Environmental Research (AER), Lexington, Massachusetts, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Mechanical Engineering, University of Colorado, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Physics, University of Toronto, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>NCAR, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Centro de Ciencias de la Atmósfera, Universidad Nacional Autónoma de México, Mexico City, Mexico</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>University of Wollongong, Wollongong, Australia</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>National Institute of Water and Atmosphere, Lauder, New Zealand</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>University of Wisconsin-Madison Space Science and Engineering Center (SSEC), Madison, Wisconsin, USA</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Science Data Processing, Inc., Laurel, MD, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>TNO Built Environment and Geosciences, Department of Air Quality and Climate, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Louis Bolk Institute, Driebergen, the Netherlands</institution>
        </aff>
        <aff id="aff16"><label>a</label><institution>now at: Civil, Architectural, and Environmental Engineering Department, Drexel University, <?xmltex \hack{\newline}?> Philadelphia, Pennsylvania, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Enrico Dammers (enrico.dammers@gmail.com)</corresp></author-notes><pub-date><day>25</day><month>July</month><year>2017</year></pub-date>
      
      <volume>10</volume>
      <issue>7</issue>
      <fpage>2645</fpage><lpage>2667</lpage>
      <history>
        <date date-type="received"><day>6</day><month>February</month><year>2017</year></date>
           <date date-type="rev-request"><day>21</day><month>March</month><year>2017</year></date>
           <date date-type="rev-recd"><day>21</day><month>June</month><year>2017</year></date>
           <date date-type="accepted"><day>27</day><month>June</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017.html">This article is available from https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017.pdf</self-uri>


      <abstract>
    <p>Presented here is the validation of the CrIS (Cross-track Infrared Sounder)
fast physical NH<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval (CFPR) column and profile measurements using ground-based
Fourier transform infrared (FTIR) observations. We use the total columns and
profiles from seven FTIR sites in the Network for the Detection of
Atmospheric Composition Change (NDACC) to validate the satellite data
products. The overall FTIR and CrIS total columns have a positive correlation
of <inline-formula><mml:math id="M3" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.77 (<inline-formula><mml:math id="M5" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 218) with very little bias (a slope of 1.02). Binning the
comparisons by total column amounts, for concentrations larger than
1.0 <inline-formula><mml:math id="M7" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M9" 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>, i.e. ranging from moderate to polluted
conditions, the relative difference is on average <inline-formula><mml:math id="M10" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0–5 %
with a standard deviation of 25–50 %, which is comparable to the estimated
retrieval uncertainties in both CrIS and the FTIR. For the smallest total
column range (<inline-formula><mml:math id="M11" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1.0x <inline-formula><mml:math id="M12" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M14" 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>) where there are a
large number of observations at or near the CrIS noise level (detection
limit) the absolute differences between CrIS and the FTIR total columns show
a slight positive column bias. The CrIS and FTIR profile comparison
differences are mostly within the range of the single-level retrieved profile
values from estimated retrieval uncertainties, showing average
differences in the range of <inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 to 40 %. The CrIS retrievals
typically show good vertical sensitivity down into the boundary layer which
typically peaks at <inline-formula><mml:math id="M16" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 850 hPa (<inline-formula><mml:math id="M17" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 km). At this
level the median absolute difference is 0.87 (std <inline-formula><mml:math id="M18" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.08) ppb,
corresponding to a median relative difference of 39 % (std <inline-formula><mml:math id="M20" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 %).
Most of the absolute and relative profile comparison differences are
in the range of the estimated retrieval uncertainties. At the surface, where
CrIS typically has lower sensitivity, it tends to overestimate in low-concentration
conditions and underestimate in higher atmospheric concentration conditions.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The disruption of the nitrogen cycle by the human creation of reactive
nitrogen has created one of the major challenges for humankind
(Rockström et al., 2009). Global reactive nitrogen emissions into the
air have increased to unsurpassed levels (Fowler et al., 2013) and are
currently estimated to be four times larger than pre-industrial levels
(Holland et al., 1999). As a consequence the deposition of atmospheric
reactive nitrogen has increased causing ecosystems and species loss (Rodhe
et al., 2002; Dentener et al., 2006; Bobbink et al., 2010). Ammonia (NH<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>)
as fertilizer is essential for agricultural production and is one of the
most important reactive nitrogen species in the biosphere. NH<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emission, atmospheric transport, and atmospheric deposition are major causes
of eutrophication and acidification of soils and water in semi-natural
environments (Erisman et al., 2008, 2011). Through reactions with sulfuric
acid and nitric acid, ammonium nitrate and ammonium sulfate are formed,
which embody up to 50 % of the mass of fine-mode particulate matter (PM<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>)
(Seinfeld and Pandis., 1988; Schaap et al., 2004). PM<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> has been
associated with various health impacts (Pope III et al., 2002, 2009).
At the same time, atmospheric aerosols impact global climate directly
through their radiative forcing effect and indirectly through the formation
of clouds (Adams et al., 2001; Myhre et al., 2013). By fertilizing
ecosystems, deposition of NH<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and other reactive nitrogen compounds
also plays a key role in the sequestration of carbon dioxide (Oren et al., 2001).</p>
      <p>Despite the significance and impact of NH<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on the environment and
climate, its global distribution and budget are still relatively uncertain
(Erisman et al., 2007; Clarisse et al., 2009; Sutton et al., 2013). One of
the reasons is that in situ measuring of atmospheric NH<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at ambient
levels is complex due to the sticky nature and reactivity of the molecule,
leading to large uncertainties and/or sampling artefacts with the currently
used measuring techniques (von Bobrutzki et al., 2010; Puchalski et al.,
2011). Measurements are also very sparse. Currently, observations of
NH<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are mostly available in north-western Europe and central North
America, supplemented by a small number of observations made in China
(Van Damme et al., 2015b). Furthermore, there is a lack of detailed information
on its vertical distribution as only a few dedicated airborne measurements
are available (Nowak et al., 2007, 2010; Leen et al., 2013; Whitburn et al.,
2015; Shephard et al., 2015). The atmospheric lifetime of NH<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is rather
short, ranging from hours to a few days. In summary, global emission
estimates have large uncertainties. Estimates of regional emissions
attributed to source types that are different from the main regions are even more
uncertain due to a lack of process knowledge and atmospheric levels (Reis et al., 2009).</p>
      <p>Over the last decade the development of satellite observations of NH<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
from instruments such as the Cross-track Infrared Sounder (CrIS, Shephard
and Cady-Pereira, 2015), the Infrared Atmospheric Sounding Interferometer
(IASI, Clarisse et al., 2009; Coheur et al., 2009; Van Damme et al., 2014a),
the Atmospheric Infrared Sounder (AIRS, Warner et al., 2016) and the
Tropospheric Emission Spectrometer (TES, Beer et al., 2008; Shephard et al.,
2011) have shown the potential to improve our understanding of NH<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
distribution. Recent studies show the global distribution of NH<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
measured at a twice daily scale (Van Damme et al., 2014a,
2015a) can reveal seasonal cycles and distributions for regions where
measurements were unavailable until now. Comparisons of these observations
to surface observations and model simulations show underestimations of the
modelled NH<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration levels, pointing to underestimated regional
and national emissions (Clarisse et al., 2009; Shephard et al., 2011; Heald
et al., 2012; Nowak et al., 2012; Zhu et al., 2013; Van Damme et al., 2014b;
Lonsdale et al., 2017; Schiferl et al., 2014, 2016; Zondlo et al., 2016).
However, the overall quality of the satellite observations is still highly
uncertain due to a lack of validation. The few validation studies showed a
limited vertical, spatial and or temporal coverage of surface observations
for a proper uncertainty analysis (Van Damme et al., 2015b; Shephard et
al., 2015; Sun et al., 2015). A recent study by Dammers et al. (2016a)
explored the use of Fourier transform infrared (FTIR-NH<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Dammers et
al., 2015) observations to evaluate the uncertainty of the IASI-NH<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
total column product. The study showed the good performance of the IASI-LUT
(look-up table; Van Damme et al., 2014a) retrieval with a high
correlation (<inline-formula><mml:math id="M37" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.8), but indicated an underestimation of
around 30 % due to potential assumptions of the shape of the vertical
profile (Whitburn et al., 2016; IASI-NN, neural network), uncertainty
in spectral line parameters and assumptions on the distributions of
interfering species. The study showed the potential of using FTIR
observations to validate satellite observations of NH<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, but also
stressed the challenges of validating retrievals that do not provide the
vertical measurement sensitivity, such as the IASI-LUT retrieval. Since no
IASI satellite averaging kernels are provided for each retrieval, and thus
no information is available on the vertical sensitivity and/or vertical
distribution of each separate observation, it is hard to determine the cause
of the discrepancies between the observations.</p>
      <p>The new CrIS fast physical retrieval (Shephard and Cady-Pereira, 2015) uses
an optimal estimation retrieval approach that provides the information
content and the vertical sensitivity (derived from the averaging kernels;
for more details see Shephard and Cady-Pereira, 2015), and robust and
straightforward retrieval error estimates based on retrieval input
parameters. The quality of the retrieval has so far not been thoroughly
examined in comparison to other observations. Shephard and Cady-Pereira (2015) used
Observing System Simulation Experiment (OSSE) studies to evaluate the
initial performance of the CrIS NH<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval, and report a small
positive retrieval bias of 6 % with a standard deviation of <inline-formula><mml:math id="M41" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20 %
(ranging from <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>12 to <inline-formula><mml:math id="M43" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30 % over the vertical profile). Note
that no potential systematic errors were included in these OSSE simulations.
Their study also shows good qualitative comparisons with the Tropospheric
Emission Spectrometer (TES) satellite (Shephard et al., 2011) and the
ground-level in situ quantum cascade laser (QCL) observations (Miller et
al., 2014) for a case study over the Central Valley in CA, USA, during the
DISCOVER-AQ campaign. However, currently there has not been an extensive
validation of the CrIS NH<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrievals using direct comparisons with
vertical profile observations. In this study we will provide both direct
comparisons of the CrIS-retrieved profiles and ground-based FTIR
observations as well as comparisons of CrIS total column values and the FTIR and IASI.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>The CrIS fast physical retrieval</title>
      <p>CrIS was launched in late October 2011 on board the Suomi NPP platform. CrIS
follows a sun-synchronous orbit with a daytime overpass time at 13:30 LT (local
time) (ascending) and a night-time equator overpass at 01:30 LT. The instrument
scans along a 2200 km swath using a 3 <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3 array of circular-shaped pixels
with a diameter of 14 km at nadir for each pixel, which become larger ovals away
from nadir. In this study we use the NH<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval as described by
Shephard and Cady-Pereira (2015). The retrieval is based on an optimal
estimation approach (Rodgers, 2000) that minimizes the differences between
CrIS spectral radiances and simulated forward model radiances computed from
the Optimal Spectral Sampling method (OSS) OSS-CrIS (Moncet et al., 2008), which is
built from the well-validated Line-By-Line Radiative Transfer Model (LBLRTM)
(Clough et al., 2005; Shephard et al., 2009; Alvarado et al., 2013) and uses
the HITRAN database (Rothman et al., 2013) for its spectral lines. The fast
computational speed of OSS facilitates the operational production of CrIS-retrieved
(level 2) products using an optimal estimation retrieval approach
(Moncet et al., 2005). The CrIS OSS radiative transfer forward model
computes the spectrum for the full CrIS LW band, at the CrIS spectral
resolution of 0.625 cm<inline-formula><mml:math id="M47" 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> (Tobin, 2012); thus the complete NH<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
spectral band (near 10 <inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) is available for the retrievals. However,
only a small number of microwindows are selected for the CrIS retrievals to
both maximize the information content and minimize the influence of errors.
Worden et al. (2004) provides an example of a robust spectral region
selection process that takes into consideration both the estimated errors
(i.e. instrument noise, spectroscopy errors, interfering species, etc.) and
the associated information content in order to select the optimal spectral
regions for the retrieval. The a priori profiles selection for the optimal
estimation retrievals follows the TES
retrieval algorithm (Shephard et al., 2011). Based on the relative NH<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
signal in the spectra the a priori is selected from one of three possible
profiles representing unpolluted, moderate, and polluted conditions. The
initial guess profiles are also selected from these three potential profiles.</p>
      <p>An advantage of using an optimal estimation retrieval approach is that
averaging kernels (sensitivity to the true state) and the estimated errors
of the retrieved parameter are computed in a robust and straightforward
manner (for more details see Shephard and Cady-Pereira, 2015). The total
satellite retrieved parameter error is expressed as the sum of the smoothing
error (due to unresolved fine structure in the profile), the measurement
error (random instrument noise in the radiance spectrum propagated to the
retrieval parameter), and systematic errors from uncertainties in the
non-retrieved forward model parameters and cross-state errors propagated
from retrieval to retrieval (i.e. major interfering species such as
H<inline-formula><mml:math id="M51" 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 id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) (Worden et al., 2004). As of yet we have
not included error estimates for the systematic errors. The CrIS smoothing
error is computed, but since in these FTIR comparison results we apply the
FTIR observational operator (which accounts for the smoothing error), the
smoothing error contribution is not included in the CrIS errors reported in
the comparisons. Thus, only the measurement errors are reported for
observations used here; these errors can thus be considered the lower limit
of the total estimated CrIS retrieval error.</p>
      <p>Figure 1 shows an example of CrIS NH<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations surrounding one of
the ground-based FTIR instruments. This is a composite map of all days in
Bremen with observations in 2015. This figure shows the widespread elevated
amounts of NH<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> across north-western Germany as observed by CrIS.</p>
      <p>Since the goal of this analysis is to evaluate the CrIS retrievals that
provide information beyond the a priori, we only performed comparisons when
the CrIS spectrum presents a NH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal. We also focused our efforts on
FTIR stations that have FTIR observations with total columns larger than
5 <inline-formula><mml:math id="M57" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M59" 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> (<inline-formula><mml:math id="M60" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1–2 ppb surface VMR (volume mixing ratio). This
restriction does mean that a number of sites of the FTIR-NH<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data set
will not be used. For comparability of this study to the results of the
IASI-LUT evaluation in an earlier study by Dammers et al. (2016a) we
include a short paragraph on the performance of the IASI-LUT and the more
recent IASI-NN product when applying similar constraints.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>The location, longitudinal and latitudinal position,
altitude above sea level, and type of instrument for each of the FTIR sites
used in this study. In addition, a reference is given to a detailed site
description, when available.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <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:thead>
       <oasis:row>

         <oasis:entry colname="col1">Station</oasis:entry>

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

         <oasis:entry colname="col3">Lat</oasis:entry>

         <oasis:entry colname="col4">Altitude</oasis:entry>

         <oasis:entry colname="col5">FTIR instrument</oasis:entry>

         <oasis:entry colname="col6">Reference</oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">(degrees)</oasis:entry>

         <oasis:entry colname="col3">(degrees)</oasis:entry>

         <oasis:entry colname="col4">(m a.s.l)</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </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 id="M62" 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 id="M63" 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">Velazco et al. (2007)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Toronto, Canada</oasis:entry>

         <oasis:entry colname="col2" morerows="1">79.60<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>

         <oasis:entry colname="col3" morerows="1">43.66<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>

         <oasis:entry colname="col4" morerows="1">174</oasis:entry>

         <oasis:entry colname="col5" morerows="1">ABB Bomem DA8</oasis:entry>

         <oasis:entry colname="col6">Wiacek et al. (2007)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col6">Lutsch et al. (2016)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Boulder, USA</oasis:entry>

         <oasis:entry colname="col2">105.26<inline-formula><mml:math id="M66" 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 id="M67" 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"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Pasadena, USA</oasis:entry>

         <oasis:entry colname="col2">118.17<inline-formula><mml:math id="M68" 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 id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>

         <oasis:entry colname="col4">350</oasis:entry>

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

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Mexico City, Mexico</oasis:entry>

         <oasis:entry colname="col2">99.18<inline-formula><mml:math id="M70" 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 id="M71" 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">Bezanilla et al. (2014)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Wollongong, Australia</oasis:entry>

         <oasis:entry colname="col2">150.88<inline-formula><mml:math id="M72" 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 id="M73" 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"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Lauder, New Zealand</oasis:entry>

         <oasis:entry colname="col2">169.68<inline-formula><mml:math id="M74" 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 id="M75" 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">Morgenstern et al. (2012)</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Annual mean of the CrIS-retrieved NH<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> surface VMR
values around the Bremen FTIR site for 2015. The two circles show the
collocation area when for radii of 25 and 50 km.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <?xmltex \opttitle{FTIR-NH${}_{{3}}$ retrieval}?><title>FTIR-NH<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval</title>
      <p>The FTIR-NH<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product used in this study is similar to the set described
in Dammers et al. (2016a) and is based on the retrieval methodology
described by Dammers et al. (2015). The retrieval methodology uses two
spectral microwindows with spectral width that depends on the NH<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
background concentration determined for the observation stations and
location (wider window for stations with background concentrations less than
one ppb). NH<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is retrieved by fitting the spectral lines in the two
microwindows MW1 [930.32–931.32 cm<inline-formula><mml:math id="M81" 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> or wide: 929.40–931.40 cm<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]
and MW2 [962.70–970.00 cm<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or wide: 962.10–970.00 cm<inline-formula><mml:math id="M84" 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>]. An
optimal estimation approach (Rodgers, 2000) is used, implemented in
the SFIT4 algorithm (Pougatchev et al., 1995; Hase et al., 2004, 2006).
There are a number of species that can interfere to some extent in both
windows, with the major species being H<inline-formula><mml:math id="M85" 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 id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the
minor species N<inline-formula><mml:math id="M88" 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 id="M89" 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 id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>. The HITRAN 2012
database (Rothman et al., 2013) is used for the spectral lines. A further
set of spectroscopic line parameter adjustments are added for CO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> taken
from the ATMOS database (Brown et al., 1996) as well as a set of
pseudo-lines for the broad absorptions by the CFC-12 and SF<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> molecules
(created by NASA-JPL, G.C. Toon, <uri>http://mark4sun.jpl.nasa.gov/pseudo.html</uri>).
The NH<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> a priori profiles are based on balloon measurements (Toon et
al., 1999) and refitted to match the local surface concentrations (depending
on the station either measured or estimated by model results). For the
interfering species a priori profiles we use the Whole Atmosphere Community
Climate Model (WACCM, Chang et al., 2008, v3548). The estimated errors in
the FTIR-NH<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrievals are of the order of <inline-formula><mml:math id="M95" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 %
(Dammers et al., 2015) with the uncertainties in the NH<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> line
spectroscopy being the most important contributor. Based on the data
requirements in Sect. 2.1, a set of seven stations is used (Table 1). For
all sites except Wollongong in Australia we use the basic narrow spectral
windows. For Wollongong the wide spectral windows are used. For a more
detailed description of each of the stations see the publications listed in
Table 1 or Dammers et al. (2016a).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Coincidence criteria and quality flags applied to the
satellite and FTIR data. The third through fifth columns show the number of
observations remaining after each subsequent data criteria step and the
number of possible combinations between the CrIS and FTIR observations. The
first set of numbers indicate the number of CrIS observations within a
1<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M98" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> degree square surrounding the FTIR site.</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="left"/>
     <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>  
         <oasis:entry colname="col1">Filter</oasis:entry>  
         <oasis:entry colname="col2">Data criteria</oasis:entry>  
         <oasis:entry colname="col3">No. obs.</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">FTIR</oasis:entry>  
         <oasis:entry colname="col4">CrIS</oasis:entry>  
         <oasis:entry colname="col5">Combinations</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CrIS</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">15 661</oasis:entry>  
         <oasis:entry colname="col4">25 855</oasis:entry>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Temporal sampling difference</oasis:entry>  
         <oasis:entry colname="col2">Max 90 min</oasis:entry>  
         <oasis:entry colname="col3">1576</oasis:entry>  
         <oasis:entry colname="col4">13 959</oasis:entry>  
         <oasis:entry colname="col5">112 179</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Spatial sampling difference</oasis:entry>  
         <oasis:entry colname="col2">Max 50 km</oasis:entry>  
         <oasis:entry colname="col3">1514</oasis:entry>  
         <oasis:entry colname="col4">3134</oasis:entry>  
         <oasis:entry colname="col5">22 869</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Elevation difference</oasis:entry>  
         <oasis:entry colname="col2">Max 300 m</oasis:entry>  
         <oasis:entry colname="col3">1505</oasis:entry>  
         <oasis:entry colname="col4">1642</oasis:entry>  
         <oasis:entry colname="col5">9713</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Quality flag</oasis:entry>  
         <oasis:entry colname="col2">DOFS <inline-formula><mml:math id="M100" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.1</oasis:entry>  
         <oasis:entry colname="col3">1433</oasis:entry>  
         <oasis:entry colname="col4">1453</oasis:entry>  
         <oasis:entry colname="col5">8579</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <?xmltex \opttitle{IASI-NH${}_{{3}}$}?><title>IASI-NH<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p>The CrIS retrieval will also be compared with corresponding IASI/FTIR
retrievals using results from a previous study by Dammers et al. (2016a).
Both the IASI-LUT (Van Damme et al., 2014a) and the IASI-NN (Whitburn et al., 2016) retrievals from observations by the IASI
instrument aboard MetOp-A will be used. A short description of both IASI
retrievals is provided here; for a more in-depth description see the
respective publications by Van Damme et al. (2014a) and Whitburn et al. (2016).
The IASI instrument on board the MetOp-A platform is in a
sun-synchronous orbit and has a daytime overpass at around 09:30 LST (local solar
time) and a night-time overpass at around 21:30 LST. The instrument has a
circular footprint of about 12 km diameter for nadir-viewing angles with of
nadir observations along a swath of 2100 km. Both IASI retrievals are based
on the calculation of a dimensionless spectral index called the
hyperspectral range index (HRI) (Van Damme et al., 2014a). The HRI is
representative of the amount of NH<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the measured column. The
IASI-LUT retrieval makes a direct conversion of the HRI to total column
density with the use of a look-up table (LUT). The LUT is created using a
large number of simulations for a wide range of atmospheric conditions which
link the thermal contrast (TC, the difference between the air temperature
at 1.5 km altitude and the temperature of the Earth's surface) and the HRI to
a NH<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total column density. The retrieval includes a retrieval error
based on the uncertainties in the initial HRI and TC parameters. The more
recent IASI-NN retrieval (Whitburn et al., 2016) follows similar steps but
it makes use of a neural network. The neural network combines the complete
temperature, humidity and pressure profiles for a better representation of
the state of the atmosphere. At the same time the retrieval error estimate
is improved by including error terms for the uncertainty in the profile
shape, and the full temperature and water vapour profiles. The IASI-NN
version uses the fixed profiles that were described by Van Damme et al. (2014a)
but allows for the use of third party profiles to improve the
representation of the NH<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> atmospheric profile. The IASI-LUT and IASI-NN
retrievals have both been previously compared with FTIR observations
(Dammers et al., 2016a, b). They compared reasonably
well with correlations around <inline-formula><mml:math id="M105" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.8 for a set of FTIR stations, with an
underestimation of around 30 % that depends slightly on the magnitude of
total column amounts, with the IASI-NN performing slightly better.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Data criteria and quality</title>
      <p>NH<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations show large variations both in space and time as a
result of the large heterogeneity in emission strengths due to spatially
variable sources and drivers such as meteorology and land use (Sutton et
al., 2013). This high variability poses challenges in matching ground-based
point observations made by FTIR observations with CrIS downward-looking
satellite measurements which have a 14 km nadir footprint. For the pairing
of the measurement data we apply data selection criteria similar to those
described in Dammers et al. (2016a) and summarized in Table 2. To minimize
the impact of the heterogeneity of the sources, we choose a maximum of 50 km
between the centre points of the CrIS observations and the FTIR site
location. To diminish the effect of temporal differences between the FTIR
and CrIS observations, a maximum time difference of 90 min is used.
Topographical effects are reduced by choosing a maximum altitude difference
of 300 m at any point between the FTIR site location and the centre point of
the satellite pixel location. The altitude differences are calculated using
the Space Shuttle Radar Topography Mission Global product at 3 arc-second
resolution (SRTMGL3, Farr et al., 2007). To ensure the data quality of
CrIS-NH<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval for version 1.0, a small number of outliers with a
maximum retrieved concentration above 200 ppb (at any point in the profile)
were removed from the comparison data set. While potentially a surface
NH<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> value of 200 ppb (and above) is possible (i.e. downwind of
forest fires), it is highly unlikely to occur over the entire footprint of
the satellite instrument. Moreover, after inspecting these data points, they
seem to be affected by numerical issues in the fitting procedure (possibly
due to interfering species). As we are interested in validating the CrIS
observational information (not just a priori information), we only select
comparisons that contain some information from the satellite (degrees of
freedom for signal – DOFS – <inline-formula><mml:math id="M110" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.1). Do note that on average the
observations have a DOFS between 0.9 and 1.1. The DOFS <inline-formula><mml:math id="M111" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.1
filter only removes some of the outliers at the lower end. No explicit
filter is applied to account for clouds; however, clouds will implicitly be
accounted for by quality control as CrIS will not measure a NH<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
signal (e.g. DOFS <inline-formula><mml:math id="M113" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.1) below optically thick clouds (e.g. cloud
optical depth <inline-formula><mml:math id="M114" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1). In addition, the CrIS
observations are matched with FTIR observations taken only during clear-sky
conditions, which mostly eliminates influence from cloud cover. Finally, the
high signal-to-noise ratios (SNR) of the CrIS instrument allows it to
retrieve NH<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from a thermal contrast approaching 0 K during daytime
observations (Clarisse et al., 2010). Given this, we decided not to apply a
thermal contrast filter to the CrIS data. No additional filters are applied
to the FTIR observations beyond the clear-sky requirement.</p>
      <p>For both IASI retrievals, we use the same observation selection criteria as
described in Dammers et al. (2016a). The set of criteria is similar to those
used here for the CrIS observations. Observations from both IASI retrievals
are matched using the overpass time, and longitudinal and latitudinal
positions. For comparability with CrIS a spatial difference limit of 50 km
limit was used, instead of the 25 km spatial limit used in the previous
study. Furthermore we apply the thermal contrast (<inline-formula><mml:math id="M117" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 12 K,
difference between the temperatures at 1.5 km and the surface) and Earth's
skin temperature criteria to the IASI observations to match the previous study.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <title>Observational operator application</title>
      <p>To account for the vertical sensitivity and the influence of the a priori
profiles of both retrievals, we apply the observational operator (averaging
kernel and a priori of the retrieval) of the FTIR retrieval to the CrIS-retrieved profiles. The CrIS observations are matched to each individual
FTIR observation in time and space following the matching criteria. The FTIR
averaging kernels, a priori profiles and retrieved profiles are first
mapped to the CrIS pressure levels (fixed pressure grid, layers are made
smaller or cut off for observations above elevation to fit the fixed
pressure grid). Following Rodgers and Connor (2003) and Calisesi et al. (2005)
this results in the mapped FTIR averaging kernel,
<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">A</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, the mapped FTIR
a priori, <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mrow><mml:mi mathvariant="normal">mapped</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">apriori</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
and the mapped FTIR-retrieved profile, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>. Then we apply the FTIR
observational operator to the CrIS observations using Eq. (1).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M121" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</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:mrow><mml:mi mathvariant="normal">mapped</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">apriori</mml:mi></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">A</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">CrIS</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:mrow><mml:mi mathvariant="normal">mapped</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">apriori</mml:mi></mml:mrow></mml:msubsup></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</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">mapped</mml:mi></mml:msubsup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">rel</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</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">mapped</mml:mi></mml:msubsup></mml:mfenced><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mn mathvariant="normal">05</mml:mn><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</mml:mi></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M122" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> is the FTIR
a priori profile, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is
the interpolated FTIR profile,
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold">A</mml:mi><mml:mi mathvariant="normal">ftir</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the FTIR averaging kernel,
and <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the smoothed CrIS profile.</p>
      <p>The CrIS smoothed profile <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculated from
Eq. (1) provides an estimate of the FTIR retrieval applied to the CrIS satellite
profile. Next we evaluate both total column and profile measurements.</p>
      <p>For the first validation step, following Dammers et al. (2016a), who
evaluated the IASI-LUT (Van Damme et al., 2014a) product, we sum the
individual profile (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">CrIS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to obtain a column total to
compare to the FTIR total columns. This step gives the opportunity to
evaluate the CrIS retrieval in a similar manner as was done with the
IASI-LUT retrieval. If multiple FTIR observations match a single CrIS
overpass we also average those together into a single value as well as each
matching averaged CrIS observation. Therefore, it is possible to have
multiple FTIR observations, each with multiple CrIS observations all
averaged into a single matching representative observation. For the profile
comparison this averaging is not performed to keep as much detail available
as possible. An important point to make is that this approach assumes that
the FTIR retrieval gives a better representation of the truth. While this
may be true, the FTIR retrieval will not match the truth completely. For
readability we assume that the FTIR retrieval indeed gives a better
representation of the truth, and in the next sections we will describe the case
in which we apply the FTIR observational operator to the CrIS values. For
the tenacious reader we included a similar set of results in the appendix,
using the CrIS observational operator instead of the FTIR observational
operator, as the assumption of the FTIR being true is not exactly right.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Correlation between the FTIR and CrIS total columns using
the coincident data from all measurement sites. The horizontal and vertical
bars show the total estimated error on each FTIR and CrIS observation. The
colouring on the scatter indicates the mean DOF of each the CrIS coincident
data. The trend line shows the results of the regression analysis.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>FTIR vs. CrIS comparison scatter plots showing the
correlations for each of the individual stations, with estimates of error
plotted for each value. The trend lines show the individual regression
results. Note the different ranges on the <inline-formula><mml:math id="M128" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M129" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis. The results for the
Boulder (green line) and Lauder (pink line) sites are shown in the same panel.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Total column comparison</title>
      <p>The total columns are averaged as explained in Sect. 2.4 to show a direct
comparison of FTIR measurements with CrIS observations in Fig. 2. A 3<inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>
outlier filter was applied to calculate the regression statistics. The
filtered outliers are displayed in grey, and may be caused by low
information content (DOFS) and terrain characteristics. For the regression
we used the reduced major axis regression (Bevington and Robinson, 1992),
accounting for possible errors both in the <inline-formula><mml:math id="M131" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> values. There is an
overall agreement with a correlation of <inline-formula><mml:math id="M133" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.77 (<inline-formula><mml:math id="M135" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M136" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01,
<inline-formula><mml:math id="M137" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 218) and a slope of 1.02 (<inline-formula><mml:math id="M139" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.05). At the lower range of values the CrIS
column totals are higher than the observed FTIR values. The CrIS
retrieval possibly overestimates due to the low sensitivity to low concentrations.
Without the sensitivity the retrieval will find a value more closely to the
a priori, which may be too high. Figure 3 shows the comparisons at each
station. When the comparisons are broken down by station (Fig. 3), the
correlation varies from site to site, from a minimum of 0.28 in Mexico City
(possibly due to retrieval errors associated with the highly irregular
terrain) to a maximum of 0.84 in Bremen. Similarly to Mexico City the
comparison also shows an increase in scatter for Pasadena, where the FTIR
site is also located on a hill. In Toronto and Bremen there is good
agreement when NH<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is elevated (<inline-formula><mml:math id="M141" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M142" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M144" 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>),
and low bias in the CrIS total columns for intermediate values
(between 10 and 20 <inline-formula><mml:math id="M145" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M147" 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>) except for the outlying
observation in Bremen, which is marked as an outlier by our 3<inline-formula><mml:math id="M148" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>
filter used for Fig. 2. In Wollongong, there is less agreement between the
instruments. There are two comparisons with large CrIS to FTIR ratios while
most of the other comparisons also show a bias for CrIS. For both cases the
bias can be explained by the heterogeneity of the ammonia concentrations in
the surrounding regions. The two outlying observations were made during the
end of November 2012, which coincides with wildfires in the surrounding
region. Furthermore the Wollongong site is located on the coast, which will
increase the occurrences in which one instrument observes clean air from the
ocean while the other observes inland air masses.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Results of the total column comparisons of the FTIR to
CrIS, FTIR to IASI-LUT and FTIR to IASI-NN. N is the number of averaged
total columns, MD is the mean difference [10<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M150" 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>],
MRD is the mean relative difference [frac, in %]. Take note that the
combined value N does not add up with all the separate sites as observations
have been included for FTIR total columns <inline-formula><mml:math id="M151" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M152" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M154" 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>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Retrieval</oasis:entry>  
         <oasis:entry colname="col2">Column total range</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M155" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">MD in 10<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">MRD in %</oasis:entry>  
         <oasis:entry colname="col6">FTIR mean in</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">in molecules cm<inline-formula><mml:math id="M157" 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></oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">(1<inline-formula><mml:math id="M158" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5">(1<inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">10<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> (1<inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CrIS-NH3</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M162" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M163" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">93</oasis:entry>  
         <oasis:entry colname="col4">3.3 (4.1)</oasis:entry>  
         <oasis:entry colname="col5">30.2 (38.0)</oasis:entry>  
         <oasis:entry colname="col6">7.5 (1.5)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CrIS-NH3</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M165" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M167" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">109</oasis:entry>  
         <oasis:entry colname="col4">0.4 (5.3)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.39 (34.4)</oasis:entry>  
         <oasis:entry colname="col6">16.7 (8.5)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">IASI-LUT</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M170" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M171" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">229</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7 (3.0)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>63.6 (62.6)</oasis:entry>  
         <oasis:entry colname="col6">7.1 (1.4)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">IASI-LUT</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M175" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M177" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">156</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1 (4.2)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50.2 (43.6)</oasis:entry>  
         <oasis:entry colname="col6">14.8 (6.7)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">IASI-NN</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M181" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M182" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">212</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2 (3.6)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>57.0 (68.7)</oasis:entry>  
         <oasis:entry colname="col6">7.1 (1.4)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">IASI-NN</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M186" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M187" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M188" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">156</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.0 (5.1)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>52.5 (49.7)</oasis:entry>  
         <oasis:entry colname="col6">14.8 (6.7)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Plots of the mean absolute and relative differences
between CrIS and IASI, as a function of NH<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total column. Observations
are separated into bins of total columns. Panel <bold>(a)</bold> shows the mean
absolute difference (MD). Panel <bold>(b)</bold> shows the mean relative
difference. The bars in these top two panels show the 95 % confidence
interval for each value. Panel <bold>(c)</bold> shows the mean of the observations
in each bin. The number of observations in each set is shown in the bottom panel.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f04.png"/>

        </fig>

      <p>The mean absolute (MD) and relative difference (MRD) are calculated
following Eqs. (4) and (5);

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M193" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">MRD</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">CrIS</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">FTIR</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">FTIR</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">CrIS</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">MD</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">CrIS</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">FTIR</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">column</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            with <inline-formula><mml:math id="M194" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> being the number of observations.</p>
      <p>We evaluate the data by subdividing the comparisons over a set of total
column bins as a function of the FTIR total column value of each individual
observation. The bins (with a range of 5 <inline-formula><mml:math id="M195" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> to
25 <inline-formula><mml:math id="M197" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M199" 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> with iterations steps of
5 <inline-formula><mml:math id="M200" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M202" 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>) give a better representation of the performance of the retrieval
as it shows the influence of the retrieval as a function of the magnitude of the
total column densities. The results of these total column comparisons are
presented in Fig. 4. Table 3 summarizes the results for each of the FTIR
to satellite column comparisons into two total column bins, which splits the
comparisons between smaller and larger than 10 <inline-formula><mml:math id="M203" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M205" 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>.
A few combinations of the IASI-NN and FTIR retrievals have a
small denominator value that causes problems in the calculation of the MRD.
A 3<inline-formula><mml:math id="M206" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> outlier filter based on the relative difference is applied to
remove these outliers (<inline-formula><mml:math id="M207" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M208" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M210" 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>, only
the IASI-NN set). The statistical values are not given separately by site
because of the low number of matching observations for a number of the sites.</p>
      <p>The CrIS/FTIR comparison results show a large positive difference in both
the absolute (MD) and relative (MRD) for the smallest bin,
(5.0–10.0 <inline-formula><mml:math id="M211" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules  m<inline-formula><mml:math id="M213" 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>). The rest of the CrIS/FTIR comparison bins
with NH<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> values <inline-formula><mml:math id="M215" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M216" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> agree very well with a
nearly constant bias (MD) around zero, and a standard deviation of the order
of 5.0 <inline-formula><mml:math id="M218" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>, which slightly dips below zero in the middle bin. The
standard deviation over these bins is also more or less constant, and the
weak dependence on the number of observations in each bin indicates that
most of the effect is coming from the random error on the observations. The
relative difference becomes systematically smaller with increasing column
total amounts, and tends towards zero with a standard deviation
<inline-formula><mml:math id="M220" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25–50 %, which is on the order of the reported estimated
errors of the FTIR retrieval (Dammers et al., 2015).</p>
      <p>For a comparison with previous reported satellite results, we included
both the IASI-LUT (Van Damme et al., 2014a) and the IASI-NN (Whitburn et
al., 2016) comparisons with the FTIR observations. To put the results of
this study into perspective of the IASI-LUT and IASI-NN products we added
Fig. A1 to the Appendix, which shows the total column comparison for both
products. The IASI products show similar differences as a function of
NH<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> column bins, which is somewhat different from the CrIS/FTIR
comparison results. The absolute difference (MD) is mostly negative with the
smallest factor for the smallest total column bin, with a difference around
<inline-formula><mml:math id="M222" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5 <inline-formula><mml:math id="M223" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> (std <inline-formula><mml:math id="M225" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3.0 <inline-formula><mml:math id="M227" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M229" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M230" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 229) molecules cm<inline-formula><mml:math id="M231" 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 slowly increases as a function of the total column. However,
the relative difference (MRD) is at its maximum for the smaller bin with a
difference of the order <inline-formula><mml:math id="M232" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50 % (std <inline-formula><mml:math id="M233" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M234" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>50 %,
<inline-formula><mml:math id="M236" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 229) which decreases to <inline-formula><mml:math id="M238" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10–25 % (std <inline-formula><mml:math id="M240" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M241" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>25 %)
with increasing bin value. For both the IASI-NN and IASI-LUT
retrievals we find an underestimation of the total columns, which originates
mostly from a large systematic error in combination with more randomly
distributed error sources such as the instrument noise and interfering
species, which are similar to results reported earlier for IASI-LUT (Dammers et al., 2016b).</p>
      <p>A number of factors, besides the earlier reported FTIR uncertainties, can
explain the differences between the FTIR and CrIS measurements. The small
positive bias found for CrIS points to a small systematic error. The higher
SNR, from both the low radiometric noise and high spectral resolution,
enables it to resolve smaller gradients in the retrieved spectra, which
can potentially provide greater vertical information and detect smaller
column amounts (lower detection limit). This could explain the larger MRD
and MD CrIS differences at the lower end of the total column range. However,
a number of standalone tests with the FTIR retrieval showed only a minor
increase in the total column following a decrease in spectral resolution,
which indicates that the spectral resolution itself is not enough to explain the difference.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Profile comparison</title>
      <p>The CrIS-satellite- and FTIR-retrieved profiles are matched using the
criteria specified above in Table 2 and compared. It is possible for a CrIS
observation to be included multiple times in the comparison as there can be
more than one FTIR observation per day, and/or, the possibility of multiple
satellite overpasses that match a single FTIR observation.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <title>A representative profile example</title>
      <p>An example of the profile information contained in a representative CrIS and
FTIR profile is shown in Fig. 5. Although the vertical sensitivity and
distribution of NH<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> differs per station this is fairly
representative. The FTIR usually has a somewhat larger DOFS of the order of 1.0–2.0,
mostly depending on the concentration of NH<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> compared to the
CrIS total of <inline-formula><mml:math id="M244" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 DOFS. Figure 5a shows an unsmoothed FTIR
averaging kernel [vmr vmr<inline-formula><mml:math id="M245" 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>] of a typical FTIR observation. The
averaging kernel (AVK) peaks between the surface and <inline-formula><mml:math id="M246" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 850 hPa,
which is typical for most observations. In specific cases with plumes
passing over the site, the averaging kernel peak is at a higher altitude,
matching the location of the NH<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> plume. The CrIS averaging kernel
(Fig. 5b) usually has a maximum somewhere in between 680 and 850 hPa depending on the
local conditions. This particular observation has a maximum near the
surface, an indication of a day with high thermal contrast. Both the FTIR
and CrIS concentration profiles have a maximum at the surface with a
continuous decrease that mostly matches the a priori profile in a shape
following the low DOFS. This is visible for layers at the lower pressures
(higher altitudes) where the FTIR and CrIS a priori and retrieved volume
mixing ratios become similar and near zero. The absolute difference between
the FTIR and CrIS profiles can be calculated by applying the FTIR
observational operator to the CrIS profile, as we described in Sect. 2.5.
The largest absolute difference (Fig. 5d) is found at the surface, which is
also generally where the largest absolute NH<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> values occur. The FTIR
smoothed relative difference (red, striped line) peaks at the pressure where
the sensitivity of the CrIS retrieval is highest (<inline-formula><mml:math id="M249" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 55 %),
which goes down to <inline-formula><mml:math id="M250" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20–30 % for the higher altitude and
surface pressure layers. Overall the retrievals agree with most of the
difference explained by the estimated errors of the individual retrievals.
For an illustration of the systematic and random errors on the FTIR and CrIS
profiles shown in Fig. 5; see the figures in the Appendix. For the FTIR error
profile see Fig. A2 (absolute error) and Fig. A3 (relative error) and for the
CrIS measurement error profile see Fig. A4. Please note that we only show
the diagonal error covariance values for each of the errors, which is common
practice. The total column of our example profile is <inline-formula><mml:math id="M251" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M252" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M254" 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 is a slightly larger value than average.
The total random error is <inline-formula><mml:math id="M255" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 % for each of the layers, mostly
dominated by the measurement error, which is somewhat smaller than average
(Dammers et al., 2015) following the larger NH<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> VMR. A similar value is
found for the CrIS measurement error with most layers showing an error
<inline-formula><mml:math id="M257" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 %. The FTIR systematic error is around <inline-formula><mml:math id="M258" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %
near the surface and grows to 40 % for the layers between
900 and 750 hPa. The error is mostly due to the errors in the NH<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> spectroscopy
(Dammers et al., 2015). The shape of the relative difference between the
FTIR and CrIS closely follows the shape systematic error on the FTIR profile,
pointing to that error as the main cause of difference.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Example of the NH<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profile comparison for an FTIR
profile matched with a CrIS profile measured around the Pasadena site. With
<bold>(a)</bold> the FTIR averaging kernel, <bold>(b)</bold> the CrIS averaging kernel. For both
averaging kernels the black dots show the matrices diagonal values.
<bold>(c)</bold> shows the retrieved profiles of both FTIR (blue) and CrIS (cyan) with
the FTIR values mapped to the CrIS pressure layers. Also shown are the FTIR
a priori (green), the CrIS a priori (purple), the CrIS-retrieved profile
smoothed with the FTIR averaging kernel [CrIS (FTIR AVK)] (yellow) and the
FTIR profile smoothed with the CrIS averaging kernel [FTIR (CrIS AVK)](red).
In <bold>(d)</bold>, the blue line is the absolute difference between the FTIR
profile (blue, <bold>c</bold>) and the CrIS profile smoothed with the FTIR
averaging kernel (yellow, <bold>c</bold>) with the red line as the corresponding
relative difference.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f05.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Profile comparison for all stations combined.
Observations are combined following pressure “bins”, i.e. the midpoints of
the CrIS pressure grid. Panel <bold>(a)</bold> shows the mean profiles of the FTIR
(blue), <bold>(b)</bold> the profiles of FTIR with the CrIS averaging kernel applied to
it (red), <bold>(c)</bold> the FTIR averaging kernel diagonal values, and <bold>(d)</bold> shows the
absolute difference [VMR] between profiles <bold>(f)</bold> and <bold>(a)</bold>. The second row shows
the CrIS mean profile in <bold>(e)</bold>, <bold>(f)</bold> shows the profiles of CrIS with the FTIR
averaging kernel applied, <bold>(g)</bold> the CrIS averaging kernel diagonal values,
<bold>(h)</bold> the relative difference [Fraction] between the profiles in <bold>(f)</bold> and <bold>(a)</bold>. Each
of the boxes edges are the 25th and 75th percentiles, the black lines in
each box is the median, the red square is the mean, the whiskers are the
10th and 90th percentiles, and the grey circles are the outlier values
outside the whiskers.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Summary of the absolute and relative actual error as a
function of the VMR of NH<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the individual FTIR layers. The box edges
are the 25th and 75th percentiles, the black line in the box is
the median, the red square is the mean, the whiskers are the 10th and
90th percentiles, and the grey circles are the outlier values outside
the whiskers. Only observations with a pressure greater than 650 hPa are
used. The top panel shows the absolute difference for each VMR bin, the
bottom panel shows the relative difference for each VMR bin.</p></caption>
            <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>All paired data</title>
      <p>In Fig. 6 all the individual site comparisons were merged. The Mexico City
site was left out of this figure because of the large number of observations
in combination with a difference in pressure grid due to the high altitude
of the city obscuring the overall analysis and biasing the results towards the
results of one station. Similar to the single profile example, the FTIR
profile peaks near the surface for most observations, slowly going towards
zero with decreasing pressure. When compared to the representative profile
example a number of differences emerge. A number of FTIR observations peak
further above the surface and are shown as outliers, which drag the mean
further away from the median values. The combined CrIS profile in Fig. 6
shows a similar behaviour, although for the lowest pressure layer it has a
lower median and mean compared to the layer above. The difference between
Figs. 5 and 6e derives mostly from the number of observations used in
the box plot, many with weak sensitivity at the surface. Similar to the
single profile example in Fig. 5, the FTIR averaging kernels in Fig. 6c peak on
average near or just above the surface (with the diagonal elements of
the AVK's shown in the figure). The sensitivity varies a great deal between
the observations as shown by the large spread of the individual layers. The
CrIS averaging kernels (Fig. 6g) usually peak in the boundary layer around
the 779 hPa layer with the two surrounding layers having somewhat similar
values. The instrument is less sensitive to the surface layer as is
demonstrated by the large decrease in the AVK near the surface, but this
varies depending on the local conditions. We find the largest absolute
differences in the lower three layers, as was seen in the example in Fig. 5,
although the differences decrease rather than increase. The
relative difference shows a similar shape to Fig. 5. Overall both retrievals
show agreement. The relative differences in the single-level retrieved
profile values in Fig. 6h show an average difference in the range of
<inline-formula><mml:math id="M262" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 to 40 % with the 25th and 75th percentiles at
around 60–80 %, which partially follows from our large range of
concentrations. The absolute difference shows an average difference in the
range of <inline-formula><mml:math id="M263" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.66 to 0.87 ppb around the peak sensitivity levels of the CrIS
observations (681 to 849 hPa). The lower number of surface observations
follow on from the fact that only the Bremen site is located at an altitude low
enough for the CrIS retrieval to provide a result at this pressure level.
Due to this difference in retrieval layering, the remaining 227 observations
mostly follow from matching observations in Bremen, which is located in a
region of significant NH<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> emissions.</p>
      <p>The switch between negative and positive values in the absolute difference
(see Fig. 6d) occurs in the two lowest layers dominated by the Bremen
observations and provides insight into the relation between absolute
differences as a function of retrieved concentration. Figure 7 shows a summary
of the differences as a function of the individual NH<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> VMR layer
amounts. As seen before in the column comparison, e.g. Figs. 2 and 4, the CrIS
retrieval gives larger total columns than the FTIR retrieval for the small
values of VMR. For increasing VMRs, this slowly tends to a negative absolute
difference with a relative difference in the range of 20–30 %. However,
note that the number of compared values in these high VMR bins are by far
lower than in the first three bins leading to a relatively smaller effect in the
total column and merged VMR figures (Figs. 2 and 6) from these high VMR
bins. We now combine the results of Figs. 6 and 7 with Fig. 8 to create a
set of subplots showing the difference between both retrieved profiles as a
function of the maximum VMR of each retrieved FTIR profile. For the layers
with pressure less than 681 hPa we generally find agreement, which is
expected but not very meaningful, since there is not much NH<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (and thus
sensitivity) in these layers and any differences are smoothed out by the
application of the observational operator. The relative differences for
these layers all lie around <inline-formula><mml:math id="M267" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0–20 %. For the lowest two VMR
bins we again find that CrIS gives larger results than the FTIR, around the
CrIS sensitivity peak in the layer centred around 849 hPa, and to a lesser
extent in the layer below. At these VMR levels (<inline-formula><mml:math id="M268" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 ppb) the
NH<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal approaches the spectral noise of the CrIS measurement,
making the retrievals more uncertain. The switch lies around 2–3 ppb, where
the difference in the SNR between the instruments becomes less of an issue.
Also easily observed is the relation between the concentration and the
absolute and relative differences. This can be explained by the difference
in sensitivity of the instruments, and the measurement noise of both
instruments. For the largest VMR bin [<inline-formula><mml:math id="M270" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 4.0 ppb] we find that
CrIS is biased for the four lowest layers. Differences are largest in the
surface layer where only a few observations are available, almost all from
the Bremen site. Most of these CrIS observations have a peak satellite
sensitivity at a higher altitude than the FTIR. Assuming that most of the
NH<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can be found directly near the surface, with the concentration
dropping off with a sharp gradient as a function of altitude, it is likely
that these concentrations are not directly observed by the satellite but are
observed by the FTIR instruments. This difference in sensitivity should be
at least partially removed by the application of the observational operator
but not completely, due to the intrinsic differences between both
retrievals. The CrIS retrieval uses one of three available a priori
profiles, which is chosen following a selection based on the strength of
NH<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signature in the spectra. The three a priori profiles (unpolluted,
moderately polluted and polluted) are different in both shape and
concentration. Out of the entire set of 2047 combinations used in Fig. 8,
only six are from the non-polluted a priori category. About one-third of the
remaining observations use the polluted a priori, which has a sharper peak
near the surface (see Fig. 5c) compared to the moderately polluted profile,
which is used by two-thirds of the CrIS retrievals shown in this work. Based on
the results as a function of retrieved VMR (as measured with the FTIR so not
a perfect restriction), it is possible that the sharper peak at the surface
as well as the low a priori concentrations are restricting the retrieval.
The dependence of the differences on VMR can also possibly follow from
uncertainties in the line spectroscopy. In the lower troposphere there is a
large gradient in pressure and temperature and the impact of any uncertainty
in the line spectroscopy is greatly enhanced. Even for a day with large
thermal contrast and NH<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations (e.g. Fig. 5), the difference
between both the CrIS and FTIR retrievals was dominated by the line
spectroscopy. This effect is further enhanced by the higher spectral
resolution and reduced instrument noise of the FTIR instrument, which
potentially makes it more able to resolve the line shapes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Summary of differences as a function of maximum volume
mixing ratio (VMR). The maximum VMR of each FTIR profiles is used for the
classification. Absolute <bold>(a)</bold> and relative profile differences <bold>(b)</bold>
following the FTIR and CrIS (FTIR AVK applied) profiles. Observations
are following pressure layers, i.e. the midpoints of the CrIS pressure grid.
The box edges are the 25th and 75th percentiles, the black line in
the box is the median, the red square is the mean, the whiskers are the
10th and 90th percentiles, and the grey circles are the outlier values outside the whiskers.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f08.png"/>

          </fig>

      <p>To summarize, the overall differences between both retrievals are quite
small, except for the lowest layers in the NH<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> profile where CrIS has
less sensitivity. The differences mostly follow the errors as estimated by
the FTIR retrieval and further effort should focus on the estimated errors
and uncertainties. A way to improve the validation would be to add a third
set of measurements with a better capability to vertically resolve NH<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentrations from the surface up to <inline-formula><mml:math id="M276" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 750 hPa (i.e. the
first 2500 m). One way to do this properly is probably by using airplane
observations that could measure a spiral around the FTIR path coinciding
with a CrIS overpass. The addition of the third set of observations would
improve our capabilities to validate the satellite and FTIR retrievals and
point out which retrieval specifically is causing the absolute and relative
differences at each of the altitudes.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>Here we presented the first validation of the CrIS-NH<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> product using
ground-based FTIR-NH<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> observations. The total column comparison shows
that both retrievals have a correlation of <inline-formula><mml:math id="M279" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.77 (<inline-formula><mml:math id="M281" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01,
<inline-formula><mml:math id="M283" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M284" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 218) and almost no bias with an overall slope of 1.02
(std <inline-formula><mml:math id="M285" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M286" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.05). For the individual stations we find varying levels of
agreement,
mostly limited by the small range of NH<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> total columns. For FTIR total
columns <inline-formula><mml:math id="M288" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M289" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M291" 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> the CrIS and FTIR
observations are in agreement with only a small bias of 0.4
(std <inline-formula><mml:math id="M292" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M293" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5.3) <inline-formula><mml:math id="M294" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M295" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M296" 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>, and a relative difference 4.57
(std <inline-formula><mml:math id="M297" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 35.8) %. In the smaller total column range the CrIS retrieval
shows a positive bias with larger relative differences 49.0 (std <inline-formula><mml:math id="M299" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M300" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 62.6) %
that mostly seem to follow from observations near the CrIS
detection limit. The results of the comparison between the FTIR and the
IASI-NN and IASI-LUT retrievals are comparable to those found in earlier
studies. Both IASI products showed smaller total column values compared to
the FTIR, with a MRD <inline-formula><mml:math id="M301" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M302" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35 – <inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 %. On average, the CrIS
retrieval has one piece of information, while the FTIR retrieval shows
slightly more vertical information with DOFS in the range of 1–2. The NH<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
profile comparison shows similar results, with a small mean negative
difference between the CrIS and FTIR profiles for the surface layer and a
positive difference for the layers above the surface layer. The relative and
absolute differences in the retrieved profiles can be explained by the
estimated errors of the individual retrievals. Two causes of uncertainty
stand out with the NH<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> line spectroscopy being the biggest factor,
showing errors of up to 40 % in the profile example. The second factor is
the signal-to-noise ratio of both instruments which depends on the VMR:
under large NH<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, the FTIR uncertainty in the signal is
in the range of 10 %; for measurements with small NH<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations
this greatly increases. Future work should focus on improvements to the
NH<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> line spectroscopy to reduce the uncertainty coming from this error
source. Furthermore an increased effort is needed to acquire coincident
measurements with the FTIR instruments during satellite overpasses as a
dedicated validation effort will greatly enhance the number of available
observations. Furthermore, a third type of observation measuring the
vertical distribution of NH<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> could be used for comparisons with both the
FTIR and CrIS retrievals to further constrain the differences. These
observations could be provided by an airborne instrument flying in spirals
around an FTIR site during a satellite overpass.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>FTIR-NH<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data (Dammers et al., 2015) can be made available on request
(M. Palm, Institut für Umweltphysik, University of Bremen, Bremen,
Germany). The CrIS-FRP-NH<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> science grade (non-operational) data
products used in this study can be made available on request (M. W. Shephard,
Environment and Climate Change Canada, Toronto, Ontario,
Canada). The IASI-NH<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> 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).</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \opttitle{Validation of CrIS-NH${}_{{3}}$, supplementary figures}?><title>Validation of CrIS-NH<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, supplementary figures</title>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F1"><caption><p>Correlation between the FTIR and the IASI-LUT (<bold>a</bold>, blue)
and IASI-NN (<bold>b</bold>, red) total columns using the coincident data from
all measurement sites. The horizontal and vertical bars show the total
estimated error on each FTIR and CrIS observation. A 3<inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> outlier
filter was applied to the IASI-LUT data set and the same observations were
removed from the IASI-NN set. In contrast to the earlier study by Dammers et
al. (2016a) no thermal contrast filter was applied to the data set.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f09.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F2"><caption><p>Error profiles for each of the error terms. Panels <bold>(a, c)</bold> show
the random errors, <bold>(b, d)</bold> the systematic errors. The
top two panels show the error in VMR. The bottom panels show the errors in
partial column layers [molecules cm<inline-formula><mml:math id="M315" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]. See Fig. A3 for the same
figure but with the errors relative to the final VMR and partial columns per layer.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f10.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F3"><caption><p>Relative error profiles for each of the error terms.
Panels <bold>(a, c)</bold> show the random errors, <bold>(b, d)</bold> the systematic errors.
Panels <bold>(a)</bold>–<bold>(d)</bold> show the error in a fraction of the original unit used in
Fig. A2. See Fig. A2 for the same figure but with the absolute errors.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f11.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F4"><caption><p>CrIS-NH<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> relative and absolute error profile.
Panel <bold>(a)</bold> shows the retrieved and a priori profiles similar to the profiles
shown in Fig. 5c. Panel <bold>(b)</bold> shows the measurement error on the CrIS-retrieved profile, with the blue line the absolute value and red line the
value relative to the retrieved profile.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f12.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F5"><caption><p>Profile comparison for all stations combined. Observations
are combined following pressure “bins”, i.e. the midpoints of the CrIS
pressure grid. Panel <bold>(a)</bold> shows the absolute difference [VMR] between
profiles <bold>(f)</bold> and <bold>(a)</bold>. Panel <bold>(b)</bold> shows the relative difference [Fraction]
between the profiles in Fig. 6e and b. Each of the boxes edges are
the 25th and 75th percentiles, the black lines in each box is the median,
the red square is the mean, the whiskers are the 10th and 90th percentiles,
and the grey circles are the outlier values outside the whiskers.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f13.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F6"><caption><p>Summary of the absolute and relative actual error as a
function of the VMR of NH<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the individual FTIR layers. The box edges
are the 25th and 75th percentiles, the black line in the box is
the median, the red square is the mean, the whiskers are the 10th and
90th percentiles, and the grey circles are the outlier values outside
the whiskers. Only observations with a pressure greater than 650 hPa are
used. Panel <bold>(a)</bold> shows the absolute difference for each VMR bin,
<bold>(b)</bold> shows the relative difference for each VMR bin.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f14.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F7"><caption><p>Summary of actual errors as a function of VMR. The maximum
VMR of each FTIR profiles is used for the classification. Absolute <bold>(a)</bold>
and relative profile differences <bold>(b)</bold> following the FTIR (CrIS AVK
applied) and CrIS profiles. Observations are following pressure layers,
i.e. the midpoints of the CrIS pressure grid. The box edges are the 25th and
75th percentiles, the black line in the box is the median, the red
square is the mean, the whiskers are the 10th and 90th percentiles, and the
grey circles are the outlier values outside the whiskers.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/2645/2017/amt-10-2645-2017-f15.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</app>
  </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><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). This work was
also funded at AER through a NASA-funded contract (NNH15CM65C). We would
like to acknowledge the University of Wisconsin-Madison Space Science and
Engineering Center Atmosphere SIPS team sponsored under NASA contract
NNG15HZ38C for providing us with the CrIS level 1 and 2 input data, in
particular Liam Gumley. We would also like to thank Andre Wehe (AER) for
developing the CrIS download and extraction software. The IASI-LUT and
IASI-NN were obtained from the atmospheric spectroscopy group at ULB
(Spectroscopie de l'Atmosphère, Service de Chimie Quantique et
Photophysique, Université Libre de Bruxelles, Brussels, Belgium) and we
would like to thank Simon Whitburn, Martin Van Damme, Lieven Clarisse and
Pierre Francois Coheur for their help and contributions. Part of this work
was performed at the Jet Propulsion Laboratory, California Institute of
Technology, under a contract with NASA. The University of Toronto FTIR
retrievals were 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.
Funding support in Mexico City was provided by UNAM-DGAPA grants IN107417
and IN112216. A. Bezanilla and B. Herrera participated in the FTIR
measurements and M. A. Robles, W. Gutiérrez and M. García are
thanked for technical support. We would also like to thank Roy Wichink Kruit
and Margreet van Marle for the numerous discussions and valuable input on
the subject. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Frank Hase <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Validation of the CrIS fast physical NH<sub>3</sub> retrieval  with ground-based FTIR</article-title-html>
<abstract-html><p class="p">Presented here is the validation of the CrIS (Cross-track Infrared Sounder)
fast physical NH<sub>3</sub> retrieval (CFPR) column and profile measurements using ground-based
Fourier transform infrared (FTIR) observations. We use the total columns and
profiles from seven FTIR sites in the Network for the Detection of
Atmospheric Composition Change (NDACC) to validate the satellite data
products. The overall FTIR and CrIS total columns have a positive correlation
of <i>r</i>  =  0.77 (<i>N</i>  =  218) with very little bias (a slope of 1.02). Binning the
comparisons by total column amounts, for concentrations larger than
1.0  ×  10<sup>16</sup> molecules cm<sup>−2</sup>, i.e. ranging from moderate to polluted
conditions, the relative difference is on average  ∼  0–5 %
with a standard deviation of 25–50 %, which is comparable to the estimated
retrieval uncertainties in both CrIS and the FTIR. For the smallest total
column range ( &lt;  1.0x  ×  10<sup>16</sup> molecules cm<sup>−2</sup>) where there are a
large number of observations at or near the CrIS noise level (detection
limit) the absolute differences between CrIS and the FTIR total columns show
a slight positive column bias. The CrIS and FTIR profile comparison
differences are mostly within the range of the single-level retrieved profile
values from estimated retrieval uncertainties, showing average
differences in the range of  ∼  20 to 40 %. The CrIS retrievals
typically show good vertical sensitivity down into the boundary layer which
typically peaks at  ∼  850 hPa ( ∼  1.5 km). At this
level the median absolute difference is 0.87 (std  =  ±0.08) ppb,
corresponding to a median relative difference of 39 % (std  =  ±2 %).
Most of the absolute and relative profile comparison differences are
in the range of the estimated retrieval uncertainties. At the surface, where
CrIS typically has lower sensitivity, it tends to overestimate in low-concentration
conditions and underestimate in higher atmospheric concentration conditions.</p></abstract-html>
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