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  <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 GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-8-1323-2015</article-id><title-group><article-title>Cross-track Infrared Sounder (CrIS) satellite observations of tropospheric ammonia</article-title>
      </title-group><?xmltex \runningtitle{CrIS satellite observations of tropospheric ammonia}?><?xmltex \runningauthor{M.~W.~Shephard and K.~E.~Cady-Pereira}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Shephard</surname><given-names>M. W.</given-names></name>
          <email>mark.shephard@ec.gc.ca</email>
        <ext-link>https://orcid.org/0000-0002-2867-9612</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Cady-Pereira</surname><given-names>K. E.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Environment Canada, Toronto, Ontario, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Atmospheric and Environmental Research, Inc., Lexington, MA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">M. W. Shephard (mark.shephard@ec.gc.ca)</corresp></author-notes><pub-date><day>19</day><month>March</month><year>2015</year></pub-date>
      
      <volume>8</volume>
      <issue>3</issue>
      <fpage>1323</fpage><lpage>1336</lpage>
      <history>
        <date date-type="received"><day>23</day><month>September</month><year>2014</year></date>
           <date date-type="rev-request"><day>19</day><month>November</month><year>2014</year></date>
           <date date-type="rev-recd"><day>22</day><month>February</month><year>2015</year></date>
           <date date-type="accepted"><day>5</day><month>March</month><year>2015</year></date>
           
      </history>
      <permissions>
<license license-type="open-access">
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</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015.html">This article is available from https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015.pdf</self-uri>


      <abstract>
    <p>Observations of atmospheric ammonia are important in understanding and
modelling the impact of ammonia on both human health and the natural
environment. We present  a detailed description of a robust retrieval
algorithm that demonstrates the capabilities of utilizing Cross-track
Infrared Sounder (CrIS) satellite observations to globally retrieval ammonia
concentrations. Initial ammonia retrieval results using both simulated and
real observations show that (i) CrIS is sensitive to ammonia in the
boundary layer with peak vertical sensitivity typically around
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>850</mml:mn></mml:mrow></mml:math></inline-formula>–750 hPa (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1.5</mml:mn></mml:mrow></mml:math></inline-formula> to 2.5 km), which can dip
down close to the surface (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>900</mml:mn></mml:mrow></mml:math></inline-formula> hPa) under ideal conditions,
(ii) it has a minimum detection limit of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppbv (peak profile
value typically at the surface), and (iii) the information content can vary
significantly with maximum values of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> degree-of-freedom
for signal. Comparisons of the retrieval with simulated “true” profiles
show a small positive retrieval bias of 6 % with a standard deviation of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo><mml:mn>20</mml:mn></mml:mrow></mml:math></inline-formula> % (ranging from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>30</mml:mn></mml:mrow></mml:math></inline-formula> % over the vertical profile). Note that these uncertainty estimates are
considered as lower bound values as no potential systematic errors are
included in the simulations. The CrIS NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> retrieval applied over the
Central Valley in CA, USA, demonstrates that CrIS correlates well with the
spatial variability of the boundary layer ammonia concentrations seen by the
nearby Quantum Cascade-Laser (QCL) in situ surface and the Tropospheric
Emission Spectrometer (TES) satellite observations as part of the
DISCOVER-AQ campaign. The CrIS and TES ammonia observations show
quantitatively similar retrieved boundary layer values that are often within
the uncertainty of the two observations. Also demonstrated is CrIS's ability
to capture the expected spatial distribution in the ammonia concentrations,
from elevated values in the Central Valley from anthropogenic agriculture
emissions, to much lower values in the unpolluted or clean surrounding
mountainous regions. These initial results demonstrate the capabilities of
the CrIS satellite to measure ammonia.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Ammonia, along with ammonium nitrate and ammonium sulfate aerosols, is
important for the nitrogen cycle that directly or indirectly impacts air
quality, water quality  and the climate. In the atmosphere ammonia is a
toxin, and it combines with sulfates and nitric acid to form ammonium
nitrate and ammonium sulfate, which constitute <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula> % of the
mass of fine particulate matter (PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>) over land (e.g. Seinfeld and
Pandis, 1988). These particles form smog and, in addition to being
statistically associated with health impacts, such as bronchitis, asthma,
cardiovascular disease  and lung disease, cause premature deaths (Schwartz
et al., 2002; Reiss et al., 2007; Pope et al., 2002, 2009; Crouse et al.,
2012). For example, there is a 6 and 8 % increase in the risk of
cardiopulmonary and lung cancer mortality associated with exposure to 10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
increases in PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations (Pope et al.,
2002). In terms of climate change, ammonia's contribution to atmospheric
aerosols (ammonium) has both a direct (reflection of solar radiation)
radiative forcing effect of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn>0.35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> since
pre-industrial times, and a potentially larger indirect (clouds) radiative
forcing effect (e.g. Charlson et al., 1991; Myhre et al., 2013).
Furthermore, reactive nitrogen (Nr) (e.g. ammonia (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonium
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrogen oxide (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>)) has increased by a factor of 2 to 5 over
the last century (Reay et al., 2008; Lamarque et al., 2010), and
anthropogenic ammonia gas emissions (i.e. concentrated animal feeding
operations (CAFO), fertilizers, biofuel) are one of the IPCC AR5
Representative Pathway Concentration (RPC) species predicted to increase in
the future (Lamarque et al., 2011; Ciais et al., 2013). Increasing
atmospheric concentrations of ammonia have the potential to increase the
global deposition of reactive nitrogen to nitrogen-poor ecosystems, which in
turn increases the efficiency of the land and ocean in removing
human-induced carbon dioxide from the atmosphere, thus acting as a carbon
sink (“carbon dioxide fertilization effect” (Reay et al., 2008)). Excess
deposition in terrestrial ecosystems leads to soil acidification and loss of
biodiversity (e.g. Carfrae et al., 2004); and in coastal ecosystems causes
eutrophication, algal blooms, and loss of fish and shellfish (e.g. Paerl et
al., 2002). In spite of the significant role ammonia plays in our
environment and health, there is still limited knowledge of the magnitude
and seasonal/spatial distribution of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission sources, especially
on a global scale. Therefore, satellite observations of ammonia provide an
unprecedented opportunity to gain a greater understanding of atmospheric
ammonia concentrations and to constrain model emission, which are still
poorly known, especially outside of North America and Europe.</p>
      <p>Observations from the NASA Aura Tropospheric Emission Spectrometer (TES)
(Beer et al., 2001) Fourier Transform Spectrometer (FTS) launched on 15 July 2004,
and the Infrared Atmospheric Sounder Interferometer (IASI)
(Clerbaux et al., 2009) FTS launched on MetOp-A (19 October 2006) and
MetOp-B (17 September 2012), have demonstrated the value of lower
tropospheric ammonia satellite measurements. For example, IASI and TES
observations have shown spatial and seasonal distributions of ambient
tropospheric ammonia concentrations globally (Clarisse et al., 2009;
Shephard et al., 2011; Van Damme et al., 2014a) and regionally (Beer et al., 2008; Clarisse et al.,
2010). Also, combining these satellite ammonia emissions with coincident
satellite observations of carbon monoxide has shown the potential of using
the satellite-derived <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>:</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> enhancement ratios to identify the ammonia
emission sources and constrain <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission inventories (e.g. Luo et
al., 2015). These satellite observations have been initially evaluated with
in situ ammonia surface observations. Comparisons of instantaneous twice
daily satellite boundary layer averaged observations with footprints on the
order of 5–15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> with commonly measured in situ bi-weekly averaged surface
network observations can be challenging given the obvious sampling
differences (horizontal, temporal, and vertical). Nevertheless, Pinder et
al. (2011) was able to show that the TES ammonia observations reflect
spatial gradients and seasonal trends when compared with overlapping
bi-weekly CAMNet in situ surface observations. Similar evaluations of the
IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals have been performed using indirect surface
and aircraft comparisons (Van Damme et al., 2014a).</p>
      <p>Satellite observations of tropospheric ammonia are also contributing to
better understanding of the ammonia emission inventories used in chemical
transport models. Both IASI and TES satellite observations have been used to
evaluate and improve ammonia emissions and transport in global (GEOS-Chem)
and regional chemistry transport (Community Multiscale Air Quality (CMAQ))
models, which have been broadly under-predicting ammonia concentrations
compared to the satellite observations, especially in large source regions
like the central valley in California, USA. Some examples include using TES
ammonia observations to provide top-down constraints on <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
in GEOS-Chem (Zhu et al., 2013). Heald et al. (2012) used IASI observations along
with the GEOS-Chem chemical transport model to show that <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is likely
underestimated in California, leading to a local underestimate of ammonium
nitrate aerosol. At the same time, Walker et al. (2012) using TES observations
showed a similar under-prediction of ammonia emissions by GEOS-Chem over
California, which has among the largest concentrations of ammonia in the
USA. TES satellite and in situ observations were also used to evaluate the
new treatment of ammonia bidirectional fluxes in the CMAQ and GEOS-Chem
models (Zhu et al., 2015). In addition, insights into
the diurnal variability of animal <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions have been obtained by
combining TES satellite with in situ ground-based and aircraft observations
in order to develop and evaluated a new improved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temporal emissions
profile for CMAQ (Bash et al., 2013, 2015).</p>
      <p>While these initial studies have greatly improved our knowledge of the
magnitude, seasonal cycle  and spatial distribution of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions,
there still remain large uncertainties in ammonia emissions and in the
nitrogen cycle in general. Therefore, advancements in our understanding of
ammonia emission around the globe will benefit from recent and new satellite
ammonia observations. The Cross-track Infrared Sounder (CrIS) instrument is
a  FTS operated by the USA NOAA/NASA/DoD Joint Polar Satellite System (JPSS)
program on Suomi National Polar-orbiting Partnership (NPP) satellite, which
was launched on 28 October 2011. With its good radiometric calibration and
instrument signal-to-noise ratio (SNR), CrIS also has the potential to
globally monitor ammonia and to contribute to a better understanding of
tropospheric ammonia variability over the globe. The overall objective of
this analysis is to demonstrate the capability of the CrIS instrument to
retrieve atmospheric ammonia. We present  (i) the CrIS ammonia retrieval
strategy including spectral microwindows and error analysis, (ii) simulations
showing the retrieval vertical sensitivity, level-of-detectability, and
performance, (iii) the example of the first CrIS observations of elevated
ammonia over the Central Valley of California, USA, and (iv) initial
comparison of these CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals with coincident TES satellite
and Quantum Cascade-Laser (QCL) surface observations (Miller et al., 2014).</p>
</sec>
<sec id="Ch1.S2">
  <title>Satellite tropospheric ammonia observations</title>
      <p>The main governing satellite sensor characteristics for detecting ammonia in
the infrared are the measurement noise, spectral resolution, and local
overpass sampling time (as the thermal contrast is tightly correlated with
the diurnal cycle). This section details the CrIS instrument
specifications pertinent to ammonia observations, plus a summary of
comparable FTS IASI and TES sensor specifications and corresponding ammonia
measurement characteristics.</p>
<sec id="Ch1.S2.SSx1" specific-use="unnumbered">
  <title>Relevant instrument characteristics</title>
</sec>
<sec id="Ch1.S2.SS1">
  <title>Cross-track Infrared Sounder (CrIS)</title>
      <p>CrIS is in a sun-synchronous orbit (824 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) with a mean local daytime
overpass time of 13:30 in the ascending node, and a mean local nighttime
overpass time of 01:30 in the descending node. CrIS provides soundings of the
atmosphere over three wavelength bands in the infrared. For retrieved ammonia we
focus on the 9.14–15.38 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (650–1095 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) range, as the main
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> infrared absorbing spectral region is between 960 and 970 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
In this spectral region CrIS's spectral resolution is 0.625 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(Tobin, 2012). CrIS is an across-track scanning instrument with
a 2200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> swath width (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>50</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) with the total angular field of
view consisting of a <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> array of circular pixels of 14 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> diameter each
(nadir spatial resolution). While the spectral and spatial resolution of
CrIS is less fine than that of TES, its across-track scanning swath provides a
greater spatial coverage which is more similar to IASI. CrIS, with a spectral
resolution similar to IASI, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> times decrease in spectral
noise (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> at 280 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) in the ammonia spectral region
(Zavyalov et al., 2013), has the potential to detect smaller <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations than is currently possible with IASI. For example, the
Clarisse et al. (2010) sensitivity study showed that “a reduction of the
IASI noise by a factor of 2 (equally 0.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) would significantly improve the
sensitivity to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and boundary sensitivity would start at zero thermal
contrast during the daytime”.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Infrared Atmospheric Sounder Interferometer (IASI)</title>
      <p>IASI is a  FTS instrument launched in a sun-synchronous orbit with overpass
times of 09:30 and 21:30 mean local time. It measures thermal infrared
radiation in the spectral range from 645–2760 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with a spectral
resolution 0.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> apodized and noise of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula>–0.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> at
280 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> at 950 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. IASI is a scanning instrument with a 2400 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> swath
made up of <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> arrays of 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> diameter pixels. Under conditions of elevated
ammonia and favourable thermal contrast, IASI has peak sensitivity to
atmospheric ammonia in the boundary layer (Clarisse et al., 2010). Van Damme
et al. (2014b) using the IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Hyperspectral Range Index (HRI)
retrieval method provide a minimum detection total column amount of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">molec</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> under favourable retrieval
conditions (thermal contrast <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), which is the most
relevant quantity from the HRI retrieval. In a more recent overview HRI
evaluation provided by Van Damme et al. (2015) they report these minimum
detection total column values as corresponding to surface concentrations of
3.05 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (thermal contrast of 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) and 1.74 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(thermal contrast of 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), which for comparison purposes with
CrIS (and TES) represents estimated minimum surface volume mixing ratio
values of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>4.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (thermal contrast of 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) and
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>2.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (thermal contrast of 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) (values extracted from
supplemental Fig. R1 in Van Damme et al., 2015). These results are
fairly consistent with the earlier IASI <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> optimal estimation
retrieval (which is more similar to the CrIS retrieval) results by Clarisse
et al. (2010), which states that under atmospheric states with large thermal
contrasts the lower bound minimum detection threshold is a profile with a
surface value of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Tropospheric emission spectrometer (TES)</title>
      <p>TES has less dense spatial coverage than the scanning satellites (e.g. IASI,
CrIS), but has a higher spectral resolution of 0.1 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (0.06 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> unapodized). TES is in a
sun-synchronous orbit that has both a daytime ascending orbit with a local
overpass time of 13:30 mean solar time, providing favourable conditions for
high thermal contrast and thus increased sensitivity to boundary layer
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Clarisse et al., 2010), and a nighttime descending orbit with a
corresponding 01:30 local overpass time. The smaller satellite footprint of
TES (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) also allows for the potential to detect more
localized <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources. The TES instrument has good SNR with brightness
temperature noise of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.1</mml:mn></mml:mrow></mml:math></inline-formula>–0.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> at 280 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> region
(Worden et al., 2006; Shephard et al., 2008), which is similar to IASI. It
also has relative radiometric calibration that is stable over time (Connor
et al., 2011), which is important for long-term trend studies. The
combination of the high spectral resolution and good SNR of the TES
instrument in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> region provides increased sensitivity to
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratios near the surface from satellite observations and the selection
of spectral regions (microwindows) that reduce the impact of interfering
species, and consequently systematic errors in the retrievals. Shephard et
al. (2011) showed that the TES <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals have (i) a minimum
detection level of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> in the representative volume
missing ratio (RVMR), which corresponds to a profile with a surface volume
mixing ratio of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>, and (ii) typically have peak
sensitivity in the boundary layer between 900–700 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (1–3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Retrieval strategy</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{{$\chem{NH_{{3}}}$} retrieval methodology}?><title><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval methodology</title>
      <p>The ammonia retrieval strategy used here follows closely the TES
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
retrieval approach (Shephard et al., 2011). It is based on an optimal
estimation approach that minimizes the difference between the observed
spectral radiances and a nonlinear radiative transfer model driven by the
atmospheric state, subject to the constraint that the estimated state must
be consistent with an a priori probability distribution for that state
(Rodgers, 2000). If the estimated retrieved state vector, <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula>, is close to the
actual true state, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>, then it can be expressed through a linear
retrieval as
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mfenced close=")" open="("><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="bold">G</mml:mi><mml:mi mathvariant="bold-italic">n</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold">GK</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where  <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the a priori constraint vector. A
priori information is a necessity as the retrieval is an ill-posed problem
(can have many potential solutions). For these ammonia retrievals the
retrieved profile values are expressed as the natural logarithm of the
volume mixing ratio (VMR), since the values span many orders of magnitude in
the vertical. <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> is the gain matrix (or “contribution function
matrix”) describing the sensitivity of the retrieval to the measurements
(and thus measurement error), which maps from measurement (spectral
radiance) space into retrieval space. The vector <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">n</mml:mi></mml:math></inline-formula> represents the noise on the spectral radiances. The vector
<inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">b</mml:mi></mml:math></inline-formula>
contains non-retrieved parameters that affect the modelled radiance (e.g. concentrations of interfering gases) that are not included in the retrieved
state vector. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> holds the corresponding a priori
values, and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">K</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>∂</mml:mo><mml:mi>L</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi mathvariant="bold-italic">b</mml:mi></mml:mrow></mml:math></inline-formula> is the Jacobian
describing the dependency of the forward model radiance  <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>  on
the vector <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">b</mml:mi></mml:math></inline-formula>. The fast forward model OSS-CrIS (Moncet et al.,
2008), which is built from the Line-By-Line Radiative Transfer Model
(LBLRTM) (Clough et al., 2005; Shephard et al., 2009; Alvarado et al.,
2013), is used for these retrievals.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Plot of the CrIS spectral microwindow selection for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
retrievals. The top panel is the model-simulated CrIS observation for a
reference atmosphere (plotted in black). Overplotted in colour are various
simulated model calculations computed from the reference atmospheric profile
perturbed separately by 10 % <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, 10 % <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
10 % <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased to a polluted
profile. The bottom panel shows the residual (reference – perturbation) top
of the atmosphere (TOA) brightness temperatures. The diamonds represent
spectral points in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> microwindows.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f01.png"/>

        </fig>

      <p>The averaging kernel, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula>, describes the sensitivity of the retrieval to
the true state:
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="bold">A</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">GK</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          The Jacobian <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">K</mml:mi></mml:math></inline-formula> (sometimes also called the “weighting function”)
describes the sensitivity of the forward model radiances to the state vector
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="bold">K</mml:mi><mml:mo>=</mml:mo><mml:mo>∂</mml:mo><mml:mi>L</mml:mi><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the noise covariance matrix, representing the noise in
the measured radiances, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the a priori covariance
matrix for the retrieval. For profile retrievals, the rows of <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> are
functions with some finite width that give a measure of the vertical
resolution of the retrieval. The sum of each row of <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> represents an
estimate of the fraction of retrieval information that comes from the
measurement rather than the a priori (Rodgers, 2000) at the corresponding
altitude, provided the retrieval is relatively linear. The trace of the
averaging kernel matrix gives the number of degrees of freedom for signal
(DOFS) from the retrieval.</p>
      <p>Implemented for these retrievals is an iterative maximum likelihood solution
using the Levenberg–Marquardt method strategy (i.e. Clough et al., 1995;
Rodgers, 2000):

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:mfenced open="{" close="}"><mml:mi mathvariant="italic">γ</mml:mi><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mfenced></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced open="[" close="]"><mml:mi mathvariant="bold">R</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">L</mml:mi></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>a</mml:mi></mml:msup><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where  <inline-formula><mml:math display="inline"><mml:mrow><mml:mfenced close="}" open="{"><mml:mi mathvariant="italic">γ</mml:mi><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mfenced></mml:mrow></mml:math></inline-formula> is the
Levenberg–Marquardt term, with <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> being the Levenberg–Marquardt
parameter or penalty function. <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula> is the measured spectral
radiance from the sensor (i.e. CrIS), and   <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">L</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>
represents the spectral residuals being minimized in the retrieval. This numerical
iterative approach is needed to account for the nonlinearities in the
forward model spectral radiance calculations of the atmospheric state.
Without the Levenberg–Marquardt term, this method will generally only be
satisfactory for problems where the residuals are small and the initial
guess is sufficiently close to the solution (linear region). Implementing
the Levenberg–Marquardt method provides checks when the initial guess does
not satisfy this condition from one iterative step to the next, and then
only minimizes the cost function over a “trust region” in which the
retrieval is considered linear with respect to the step size, before
proceeding to the next iteration step (Bowman et al., 2006; Moré, 1978).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{CrIS {$\chem{NH_{{3}}}$} microwindows}?><title>CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> microwindows</title>
      <p>It is often desired to perform the retrievals in spectral regions that are
dominated by the species of interest. Determining the spectral regions in
which to perform the retrievals (referred to as microwindows if over small
spectral domains) can depend on a number of factors. However, the general
goal is to obtain the maximum amount of information content while minimizing
the impact of systematic errors such as from cross-state interfering species
and spectroscopic line parameters errors (laboratory measured spectroscopy
lines may have different uncertainties) (Worden et al., 2004).
Figure 1 shows the spectral region used for the
CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals. For the long-wave infrared this is considered a
relatively “clean” window region in terms of contributions from strong
spectroscopic lines. However, as shown in Fig. 1,
there is still the potential impact from a number of species such as
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that need to be considered in terms of
selection of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spectroscopic retrieval regions. The column amounts
used in the simulated spectrum are provided in Table 1. Utilizing microwindows can also have a practical advantage of reducing
the computational burden of the high-spectral resolution forward model
calculations, and the storage size of output retrieval parameters (i.e. Jacobians).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Column amounts used in the CrIS simulated forward model calculations in
Fig. 1.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Molecule</oasis:entry>  
         <oasis:entry colname="col2">Background</oasis:entry>  
         <oasis:entry colname="col3">Enhanced</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">molec</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col3">(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">molec</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>5.42</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>22</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>5.96</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>22</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>8.09</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>8.49</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>7.35</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>8.08</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.05</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mn>4.91</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn>16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <title>A priori vector and constraints</title>
      <p>The a priori profiles (vectors) and constraints are those built for the TES
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals (Shephard et al., 2011). In summary, both the a priori
profiles and covariance matrices are derived from global distributions of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the chemical transport model GEOS-Chem (Zhu et al., 2013) for
three categories of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles:
<list list-type="bullet"><list-item>
      <p><italic>Polluted</italic>: represents all profiles with surface <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>.</p></list-item><list-item>
      <p><italic>Moderately polluted</italic>: represents all profiles with <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">ppbv</mml:mi><mml:mo>≥</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>
at the surface or <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> at the surface, but <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>
between the surface and 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>; this profile type seeks to represent those cases in which
the local emissions are less than the important transport into the region.</p></list-item><list-item>
      <p><italic>Unpolluted</italic>: all profiles with <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> between the surface and 800 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p></list-item></list>
Since the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are highly variable in time and space, and
not well known globally from target scene-to-scene, we followed the same two-parameter a priori selection algorithm developed for TES. The selection
algorithm uses the scene SNR of the CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> infrared spectral
signature and the thermal contrast between the surface and the bottom level
of the atmosphere (see Shephard et al., 2011, for further details).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Comparison methodology </title>
      <p>One thing that needs to be considered when comparing infrared satellite
inferred retrieved profiles for species with limited information, such as
ammonia, is that the true vertical resolution of the retrieved parameter is
often more coarse than the reported retrieval vertical levels. One of the
main reasons for performing retrievals at more levels than there are
independent pieces of information is to capture the vertical sensitivity as
it varies from profile-to-profile depending on the atmospheric state.
However, due to this “oversampling”, the minor trace gas species (i.e. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) profiles often have several levels that are substantially
influenced by the a priori profile (i.e. containing little information from
the measurement). Depending on the purpose of the comparison, or the
quantity the satellite retrieved observations are being compared against,
there are a number of possible satellite comparison methods that can be
implemented that take into account the true satellite retrieval sensitivity.</p>
      <p>One approach often utilized when comparing the retrieved satellite profile,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, against other profiles is to “map” the comparison data to the
satellite levels using a linear weighted average and to apply  the satellite
averaging kernel and the a priori to the mapped in situ profile:
          <disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">est</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mfenced open="(" close=")"><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        This comparison approach accounts for the satellite retrieval a priori bias
and the sensitivity and vertical resolution by applying the satellites
averaging kernel, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula>, and a priori, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, to
the comparison profile <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">mapped</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (i.e. model or in situ). This method obtains an estimated profile,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, which represents what the satellite
would measure for the same air mass sampled by the in situ measurements or model.
Differences between <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> are presumed to be associated with the satellite measurement
error on the retrieval and systematic errors resulting from parameters that
were not well represented in the forward model (e.g. temperature,
interfering gases, and instrument calibration), which are the latter two
terms in Eq. (1). This procedure is used to compare the simulated
modelled <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles with the satellite-retrieved profiles.</p>
</sec>
<sec id="Ch1.S5">
  <title>Retrieval error analysis</title>
      <p>One advantage of the optimal estimation retrieval approach is that a
retrieval error estimate can be computed in a <?xmltex \hack{\mbox\bgroup}?>straightforward<?xmltex \hack{\egroup}?> manner based
on retrieval input parameters. The total error covariance matrix <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
for a given parameter <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> on the retrieved levels <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is
given by
          <disp-formula id="Ch1.E5" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:munder><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">I</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">I</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mi mathvariant="normal">smoothing</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:munder><mml:mrow><mml:msub><mml:mi mathvariant="bold">GS</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:msup><mml:mi mathvariant="bold">G</mml:mi><mml:mi>T</mml:mi></mml:msup></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mi mathvariant="normal">measurement</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:munder><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msubsup><mml:mi mathvariant="bold">GK</mml:mi><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msubsup><mml:mi mathvariant="bold">GK</mml:mi><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mrow><mml:mi mathvariant="normal">systematic</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">cross</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">state</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the expected covariance of the non-retrieved
parameter  errors (Worden et al., 2004). This total error on the retrieved
parameters is expressed as the sum of the smoothing (sometimes referred to
as the “representation”) error (first term), the measurement error (middle
term), and the systematic error (last term). The smoothing error is the
uncertainty due to unresolved fine structure in the profile. The measurement
error is the random instrument noise in the radiance spectrum propagated to
the retrieval parameter, <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula>. The systematic errors are any errors
from uncertainties in the non-retrieved forward model parameters, some of
which are systematic (i.e. errors in spectroscopic line parameters), and
some of which change from cross-state errors propagated from
retrieval-to-retrieval (i.e. interfering species). The observation error is
defined as a sum of the measurement and systematic plus cross-state terms
(last two terms in Eq. 5), which is useful
to report when the smoothing error is accounted for in a comparison (e.g. assimilations, profile comparisons when the observational operator has been
applied, see Sect. 4). Note that for this initial study
we did not include any systematic errors (last term) in the total error
estimates. Thus, the reported total random error covariance matrix,
which is just the sum of the first two terms in Eq. (5), can be rearranged and simply written as the
inverse of the Hessian <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula>,
          <disp-formula id="Ch1.E6" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold">S</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="bold">K</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mi mathvariant="bold">K</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="bold">S</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S6">
  <title>Results</title>
      <p>CrIS simulations are utilized to test the algorithm development and to
determine the retrieval performance capabilities and characteristics. The
CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval algorithm is then applied to example CrIS
observations over the San Joaquin Valley in California, USA, and compared
with nearby TES satellite and quantum cascade laser (QCL) based surface
observations (Miller et al., 2014).</p>
<sec id="Ch1.S6.SS1">
  <title>CrIS simulations</title>
      <p>To evaluate the performance of the CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval over a range of
atmospheric conditions we used simulated data where the truth is known. We
utilized the modelled ammonia simulated database as in Shephard et al. (2011)
for the TES retrieval evaluation. This simulated data set consisted of
GEOS-Chem <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles (with double the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions) that are
matched up with representative atmospheric states over central USA during
July 2005. In order to better expand the full retrieval space the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations were increased by an additional factor of 2 from the profile
values in Shephard et al. (2011) and raising the number of simulated
profiles to 400. These atmospheric states were then inserted into the
radiative transfer forward model to generate upwelling spectral radiances.
The CrIS estimated measurement noise (random) was subsequently added to each
spectrum to generate the CrIS simulated spectral radiances. These CrIS
simulated spectral radiances were used with the retrieval strategy and
methodology outlined in Sect. 3 in order to
evaluate the capabilities of the CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval results over   central USA from
the July 2005. The thin colours indicate type of true profile: polluted
(red), moderate (green), unpolluted (blue). The left panel contains the
retrieved profiles, with the black solid line being the median values. The
middle panel shows the profile differences (retrieved – truth), where the
thick solid black line is median difference and the dashed black lines are
the 25th and 75th percent quartiles. The right
panel is the sum of the rows of the averaging kernel, with the black line
being the median.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>General characteristics for the simulated CrIS profile retrievals in
Fig. 2 binned by pressure. The box  edges are
the 25th and 75th percentile, the line in the
box is the median, the diamond is the mean, the whiskers are the
10th and 90th percentiles, and the circles are
the outlier values outside the whiskers.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f03.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Using the same simulated data set as in Fig. 2
the top plot shows the SNR (difference between FM runs with and without
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> averaged over the 966.875–967.5 window) vs. thermal
contrast, colour coded by the peak value of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile.
The bottom panel shows the degrees-of-freedom-for-signal (DOFS) versus
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> signal (SNR). The dashed lines just indicate the SNR <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1
threshold.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Box-and-whiskers plot of the simulated values from
Fig. 4 for the peak NH3 profile values,
measurement sensitivity (DOFS), and temperature contrast, all binned as a
function of <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">|</mml:mi></mml:math></inline-formula> SNR <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">|</mml:mi></mml:math></inline-formula>. The boxes edges are the
25th and 75th percentile, the line in the box is
the median, the diamond is the mean, the whiskers are the 10th
and 90th percentiles, and the circles are the outlier values
outside the whiskers.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Top panel: Observed CrIS brightness temperature spectrum over the San Joaquin Valley
(35.97<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 119.28<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W on 28 January 2013). Second panel from the top: Brightness temperature residuals (observed minus OSS simulation) with no
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> included in the atmospheric profile. Third panel from the top: Brightness
temperature residuals after the addition of an <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile
with a mixing ratio of 17.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> at 908 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. Bottom panel: Difference between the OSS
model runs in the second and third panel from the top, showing the spectral signature of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the CrIS resolution. The red line in the residual plots
highlights the spectral region used in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Averaging kernel from a CrIS retrieval from a measurement on 28 January 2013 over the San Joaquin Valley in California (left). A priori and
retrieved profile with corresponding error bars are plotted in the right
panel.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f07.png"/>

        </fig>

<sec id="Ch1.S6.SS1.SSS1">
  <title>CrIS retrieval performance</title>
      <p>This simulated data set produced the CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieved profiles shown
in Fig. 2. The maximum number of valid retrieved
values from any retrieval level used in the comparison was 109. The profile
comparison  differences (retrieval – true) were performed using Eq. (4), which removes the influence of the
retrieval a priori from the comparison. More specific statistical insight
can be gained by binning the results in Fig. 2 by
pressure as shown in Fig. 3. The statistics were
performed on levels containing some sensitivity (sum of the rows of the
averaging kernel <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>0.3</mml:mn></mml:mrow></mml:math></inline-formula>), which is a balance between including
values with the most information while still retaining enough values for
reliable statistical inference. Note that, since the samples are not large and
there can be outliers, we report robust statistics that are less influenced
by outliers: a median value for the bias, the interquartile range (IQR <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Q75
(75th quartile) – Q25 (25th quartile)) and the standard deviation (SD) derived from
the robust median absolute deviation (MAD) for the variability. The CrIS
retrieval strategy works well with a median bias of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> %
(ranging from 3 to 8 % over the pressure bins). The variability
expressed in terms of IQR is <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>30</mml:mn></mml:mrow></mml:math></inline-formula> % (on average), since the
Q75 is <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>26</mml:mn></mml:mrow></mml:math></inline-formula> % (ranging from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn>39</mml:mn></mml:mrow></mml:math></inline-formula> %) and the Q25 is <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> %
(ranging from 0 to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:math></inline-formula> %). The variability expressed in terms of SD is
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo><mml:mn>20</mml:mn></mml:mrow></mml:math></inline-formula> % (on average), ranging from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>30</mml:mn></mml:mrow></mml:math></inline-formula> % in the vertical pressure bins. These actual errors should be
treated as lower bounds considering the ideal simulated conditions where the
full atmospheric state besides <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is known perfectly. The sum of the
rows of the averaging kernels in Fig. 2 show that
the peak sensitivity generally ranges from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>900</mml:mn></mml:mrow></mml:math></inline-formula>–700 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, with
the summary statistics in Fig. 3 showing that the
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>850</mml:mn></mml:mrow></mml:math></inline-formula>–750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1.5</mml:mn></mml:mrow></mml:math></inline-formula> to 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) bin (on average)
has the greatest peak vertical sensitive for these simulated cases that span
a large range of atmospheric states.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>The TES averaging kernel and retrieved profile for the TES pixel that
corresponds to the CrIS retrieval plotted in Fig. 7.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f08.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Map showing ammonia values from CrIS (large circles), TES (rectangles)  and
QCL (small circles) on 28 January 2013 during DISCOVER-AQ. The CrIS and TES
satellite values are the retrieved results at 900 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (peak vertical
sensitivity). The QCL values are surface measurements where the values have
been scaled by 1/6.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f09.png"/>

          </fig>

</sec>
<sec id="Ch1.S6.SS1.SSS2">
  <title>CrIS minimum detection threshold</title>
      <p>Given the relatively weak atmospheric spectral signal of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> compared
with the background infrared signal, it is also desirable to determine the
minimum <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> detection limit of CrIS. To provide some insight we took
the same simulated profiles used for the CrIS retrieval performance in
Sect. 6.1.1. Here we use the scene-derived SNR as
a basic metric in determining the minimum detection limit with the idea that
the minimum detection limit will be where the signal is just above the noise
(1 <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> SNR <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2). The SNR is defined as the background
brightness temperature minus the brightness temperature in the ammonia
spectral region, divided by the noise (see Shephard et al., 2011, for more
details). The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> infrared signal depends on both the atmospheric state
conditions (i.e. thermal contrast between the surface and atmosphere) and
the concentration of atmospheric ammonia. Figure 4
contains scatter plots of individual peak profile <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> amounts, which as
shown in Fig. 2 is typically the surface value,
as a function of the SNR under different thermal contrast (surface –
atmosphere) conditions, and as a function of the retrieval information
(DOFS). Figure 5 is a summary plot of these
individual retrieval points and bins them as a function of <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">|</mml:mi></mml:math></inline-formula> SNR <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">|</mml:mi></mml:math></inline-formula> with only points with positive thermal contrast included. This
plot shows that in general (not the case for every retrieved profile) that
increasing SNR values are associated with conditions of increased thermal
contrast and increased ammonia concentrations resulting in increasing
information content or sensitivity. Note that for
Fig. 5 we only considered retrievals with
DOFS <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.5 as the main purpose is to determine the minimum
detectability from retrievals that contain information. Larger DOFS
thresholds were tested; however, the sample size became too small to allow
any statistical inference.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements taken on 28 January 2013 in the San Joaquin
Valley in California. The top panel shows surface measurements by the Open
Quantum Cascade Laser (QCL) (purple), which are averaged over the coincident
TES footprint, and the satellite 900 hPa values from the TES transect
observations (black) and the corresponding closest CrIS footprints (red)
with total error bars. The symbols in the second panel show  the pressure of
peak sensitivity for the satellite observations, with the lines indicating
the pressure level of the comparison values shown in the top panel
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>). The third panel contains the information content
from the retrieval in terms of degrees-of-freedom for signal (DOFS). The
last two panels show the atmospheric conditions in terms of cloud optical
depth (COD) and thermal contrast (surface – atmosphere).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f10.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VMR retrievals over California, USA, on 13 June 2012.
The VMR values are at the peak CrIS retrieved vertical sensitivity
level based on the averaging kernels, which is typically   in the boundary
layer (900–750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> or 1–2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/1323/2015/amt-8-1323-2015-f11.png"/>

          </fig>

      <p>Here we will focus on the first bin 1 <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> SNR <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2 to provide some
insight on the minimum detectability of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by CrIS. There are a few
atmospheric states that can provide profiles with peak <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values below
1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (i.e. 10th percentile value of 0.59 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>, SNR <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.4,
DOFS <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.65, thermal contrast <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>). However, more typical minimum
<?xmltex \hack{\mbox\bgroup}?>detection<?xmltex \hack{\egroup}?> levels (still under favourable atmospheric conditions for
retrievals) are provided by looking at the 25th percentile (Q25)
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak profile (surface) value of 0.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (with SNR <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6,
DOFS <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.6, thermal contrast <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), and the bin's median peak
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
peak profile (surface) value of 1.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (SNR <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.2, DOFS <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.67, thermal
contrast <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S6.SS2">
  <title>CrIS observations</title>
      <p>To demonstrate the applicability and further evaluate the CrIS retrieval it
was then applied to real CrIS observations. For this initial study a region
over the San Joaquin Valley in California, USA, was selected as this is a
region of interest that is known for elevated boundary layer ammonia
concentrations and spatial variability in and around the valley (e.g. Beer
et al., 2008; Clarisse et al., 2010). Also, during this period there are
coincident TES satellite and QCL surface observations (Miller et al., 2014)
taken at the same time as NASA's Deriving Information on Surface Conditions
from Column and Vertically Resolved Observations Relevant to Air Quality
(DISCOVER-AQ) campaign (<uri>http://www.nasa.gov/mission_pages/discover-aq/index.html</uri>).</p>
<sec id="Ch1.S6.SS2.SSS1">
  <?xmltex \opttitle{Detailed {$\chem{NH_{{3}}}$} profile retrieval example}?><title>Detailed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile retrieval example</title>
      <p>Here we present  a detailed analysis of the CrIS measured spectrum and
corresponding retrieval results from one of the elevated cases in the San
Joaquin Valley region on 28 January 2013. Figure 6
contains the CrIS measured spectra in the ammonia retrieval region reported
in brightness temperature. Even under elevated ammonia concentration
conditions the ammonia spectral signal is only of the order of 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> in
brightness temperature, which is only <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>0.3</mml:mn></mml:mrow></mml:math></inline-formula> % of the total
long-wave infrared signal. Figure 6 also
demonstrates how well the spectral residuals in
Fig. 6b (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">R</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">L</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in Eq. 3) are minimized by the retrieval in
Fig. 6c to produce the retrieved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile
in Fig. 7 (the <inline-formula><mml:math display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> in Eq. 3) through the retrieval inversion.</p>
      <p>Figure 7 contains the resulting CrIS retrieved
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile and the retrieval properties from the 28 January 2013 CrIS
example shown in Fig. 6. For this retrieval there
is 1 piece of information (reported as the DOFS) provided by the
observation. As shown by the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> averaging kernels, the information
provided by CrIS in this example is in the profile from the surface to 600 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>,
with the peak sensitivity in the 900–800 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> range. The retrieved
profile shows high ammonia amounts with values of 11 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> at 825 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> where
the averaging kernels show the peak CrIS retrieval sensitivity.</p>
      <p>A nearby TES retrieval corresponding to the CrIS profile in
Fig. 7 is provided in
Fig. 8 for general comparison purposes. Comparing
these two retrievals the TES retrieval tends to have increased sensitivity
lower down in the troposphere compared with the CrIS retrieval. Also, the
CrIS retrieval tends to retrieve higher values of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> compared with the
nearby TES retrieval. The estimated total retrieval errors in this case are
relatively large at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>40</mml:mn></mml:mrow></mml:math></inline-formula>–50 % for both the CrIS and TES
retrievals. More detailed comparisons of CrIS with both TES and the QCL are
provided in the following section.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S6.SS2.SSS2">
  <title>Central Valley comparisons with TES and QCL </title>
      <p>As part of the DISCOVER-AQ campaign TES performed special observations and
the QCL provided in situ surface observations in the Central Valley in
California, USA. On 28 January 2013 TES performed a transect (Run 16444)
that consisted of 20 contiguous high spatial density 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> samples that
transected over <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>240</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> section of the Central Valley from
21:24:55 to 21:27:58 UTC. During DISCOVER-AQ QCL measurements were taken to
match up as close as possible to the TES transect path. The CrIS
measurements are selected around the TES transect.
Figure 9 contains an overlay of the CrIS (large
circles), TES (rectangles)  and the QCL (small circles) over the Central
Valley region covered by the QCL. Since the CrIS and TES retrievals were
performed with the same retrieval algorithm at the same pressure levels and
with the same a priori information, for these comparisons we opted to show
the satellite results from 900 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, which is generally the retrieval level
with the peak vertical sensitivity (as shown in
Fig. 10). Since the satellite and QCL
measurements are sampling different parts of the lower boundary layer,
direct absolute comparisons are not possible. Note  that since the QCL
measurements are at the surface and the satellite measurements represent
boundary layer values at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> where the ammonia
concentrations are much reduced, the QCL observations are scaled by 1/6 for
relative comparison purposes only. However, these relative comparisons along
the transect do provide valuable insights into the performance of the
satellite retrievals. Note that the large spatial fluctuations in the
surface QCL <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations as the instrument was driven on roads
around this region closely match those seen in the TES transect. The spatial
map in Fig. 9 shows good agreement between all
three observations in terms of general regions of higher and lower
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations.</p>
      <p>More details on the comparison shown in Fig. 9
are provided in Fig. 10. Here it is seen that in
general the atmospheric conditions on 28 January 2013 were favourable for
ammonia satellite retrievals with thermal contrasts <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>,
relatively high ammonia concentrations, and most of the transect
sufficiently free of thick clouds. The exception is the southernmost
region of the transect where the cloud  optical depth  (COD) approaches 1,
which is sufficiently thick to block out the ammonia atmospheric signal
(Shephard et al., 2011). Most of this transect had conditions that resulted
in the degrees of freedom for the TES observations being <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>.
The peak vertical sensitivity for the satellite retrievals under these more
ideal retrieval conditions is around 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> (900 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>), with CrIS sometimes
having its peak sensitivity as high as <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> (750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>). For
comparison purposes the high temporal measurements of the QCL were smoothed
by a running boxcar computing median values; the boxcar width matched the
spatial sampling of the TES observations. Even though ammonia can be
extremely variable in both space and time (as depicted by the QCL), and the
horizontal and vertical sampling of the in situ and satellite observations
are very different, the CrIS and TES satellite observations qualitatively
capture  the general variations seen in the surface in situ ammonia
concentrations. Also, the TES and CrIS satellite observations themselves
quantitatively agree very well and are often within the uncertainty bars of
the two instruments. In general the satellite retrieved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values
tends to be slightly larger from CrIS than TES.</p>
</sec>
<sec id="Ch1.S6.SS2.SSS3">
  <?xmltex \opttitle{Spatial distribution of {$\chem{NH_{{3}}}$} over California, USA}?><title>Spatial distribution of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over California, USA</title>
      <p>In order to further demonstrate the capabilities of CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
observations, retrievals were performed over the state of California, USA, on
13 June 2012 (Fig. 11). This region was selected
because it contains a range of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions with large spatial
variability; there are very elevated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations due to
anthropogenic emissions from fertilizer applications and livestock waste, as
well as unpolluted non-agricultural rural regions (i.e. mountainous
regions). Note that this is not the 28 January 2013 scene used in the
comparisons above, as we wanted a scene with minimal cloud cover over the
entire state, and the 28 January 2013 had some clouds over this larger
domain. The volume mixing ratio values in Fig. 11
are from the peak sensitivity level of the CrIS retrieval, which ranges from
700 to 900 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. Ammonia volume mixing ratio values over the Central Valley,
one of the world's most productive agriculture regions, and the Imperial
Valley, which also has an economy based on agriculture, are elevated with
boundary layer values in the <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>–15 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> range. In more rural
non-agricultural regions the values are reduced to values below 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula>. The
white areas without any CrIS footprints have ammonia signals so low that
either no retrieval was performed or the retrieval had less than 0.1 DOFS.
This example demonstrates CrIS' ability to monitor the daily spatial
distribution of ammonia.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p>This study presents a robust CrIS <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval that demonstrates the
capabilities of utilizing CrIS to measure tropospheric ammonia. Based on
both CrIS simulations and real observations there are a number of insights
gained in terms of the ability of CrIS to measure tropospheric ammonia. The
peak CrIS sensitivity to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is typically in the range of
900–750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn>1.0</mml:mn></mml:mrow></mml:math></inline-formula>–2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) depending on the atmospheric conditions. It
has a minimum <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> detection limit of a profile with a peak value of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:math></inline-formula> (typically at the surface). The retrievals have
limited information content with at most one piece of information (DOFS),
which provides more of an average boundary layer mixing ratio value (or a
partial column type) measurement as opposed to a true atmospheric
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
profile, which would have a number of independent pieces of information in
the vertical. The information content and sensitivity varies from
profile-to-profile depending on the atmospheric conditions, with increased
thermal contrast and ammonia concentrations providing improved measurement
sensitivity. The retrieval performance based on simulations where the truth
is known shows a small positive bias of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> % with a
standard deviation of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo><mml:mn>20</mml:mn></mml:mrow></mml:math></inline-formula> % (ranging from <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>30</mml:mn></mml:mrow></mml:math></inline-formula> % over the vertical profile). Considering that these are
ideal conditions where everything except the ammonia is known perfectly,
these should be considered as lower bounds on the actual errors.</p>
      <p>Retrievals from CrIS observations on 28 January 2013 during the DISCOVER-AQ
field study over the Central Valley in California, USA, correlate well with
nearby QCL and TES observations. CrIS values at <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> compare
quantitatively very well with the TES observations, and the differences are
generally within the error estimates. The CrIS ammonia distribution map over
a large domain including the Central Valley (USA), demonstrates its
ability to capture the expected spatial distribution in the ammonia values
from elevated values in the valley from anthropogenic agriculture emissions
to lower ammonia values in the unpolluted (“clean”) surrounding
mountainous regions.</p>
      <p>There are a number of refinements to the retrieval strategy that will be
addressed in the future to facilitate more routine global operational CrIS
retrievals. Some of these potential improvements include the following: (i) accounting for
impact of clouds on the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval (Shephard et al., 2011) either
through screening, or more desirably retrieving the clouds (Kulawik et al.,
2006; Eldering et al., 2008), (ii) further exploring the impact of
interfering species (i.e. water vapour) on systematic errors on the ammonia
retrieval as CrIS has a 0.625 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> spectral resolution, and (iii) refinement
of the CrIS surface property retrievals (i.e. surface temperature
and emissivity) in the ammonia spectral region to further reduce their
impact on the ammonia retrievals.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>We would like to thank the DISCOVER-AQ 2013
California campaign, especially Princeton's Atmospheric Chemistry Group of
Kang Sun, David Miller  and Mark Zondlo, for providing the QCL surface data.
Funding support for the QCL sensor is from the National Science Foundation
Grant #ECC-0540832, and the corresponding QCL validation support is
provided by a NASA Earth and Space Science Fellowship #NN12AN64H. We
would also like to acknowledge the Atmospheric and Environmental Research
(AER) CrIS science team for providing valuable insight in the operational
CrIS observations and retrievals, in particular Richard Lynch, Gennady Uymin and Jean-Luc Moncet.
This work at AER was supported under Grant #NA130AR4310060 from the NOAA Climate Program Office (CPO) Atmospheric
Chemistry, Carbon Cycle, and Climate (AC4) program.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: A. Lambert</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Alvarado, M. J., Payne, V. H., Mlawer, E. J., Uymin, G., Shephard, M. W.,
Cady-Pereira, K. E., Delamere, J. S., and Moncet, J.-L.:
Performance of the Line-By-Line Radiative Transfer Model (LBLRTM) for temperature,
water vapor, and trace gas retrievals: recent updates evaluated with IASI
case studies, Atmos. Chem. Phys., 13, 6687–6711, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-13-6687-2013" ext-link-type="DOI">10.5194/acp-13-6687-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Bash, J. O., Henze, D. K. , Zhu, L., Jeong, G.-R., Walker, J. T., Nowak, J. B., Neuman, J. A., Cady-Pereira, K. E., Shephard, M. W., Luo, M., and Pinder,
R. W.: New insights into the diurnal variability of animal NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
emissions using in situ, satellite and aloft observations, American Geophysical Union (AGU) Fall
Meeting, San Francisco, CA, 12 December 2013, abstract #A42B-06,
2013.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Bash, J., Henze, D. K., Jeong, G.-R., Zhu, L., Cady-Pereira, K. E.,
Shephard, M. W., Pinder, R. W., and Luo, M.: The impact of the diurnal temporal
allocation of ammonia emissions on air-quality model estimates of ambient
ammonia and inorganic aerosol, in preparation, 2015.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>
Beer, R., Glavich, T., and Rider, D. M.: Tropospheric emission spectrometer for
the Earth Observing System's Aura satellite, Appl. Optics, 40, 2356–2367,
2001.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Beer, R., Shephard, M. W., Kulawik, S. S., Clough, S. A., Eldering, A.,
Bowman, K. W., Sander, S. P., Fisher, B. M., Payne, V. H., Luo, M.,
Osterman, G. B., and Worden, J. R.: First satellite observations of lower
tropospheric ammonia and methanol, Geophys. Res. Lett., 35, L09801,
<ext-link xlink:href="http://dx.doi.org/10.1029/2008GL033642" ext-link-type="DOI">10.1029/2008GL033642</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Bowman, K. W., Rodgers, C. D., Sund-Kulawik, S., Worden, J., Sarkissian, E.,
Osterman, G., Steck, T., Luo, M., Eldering, A., Shephard, M. W., Worden, H.,
Clough, S. A., Brown, P. D., Rinsland, C. P., Lampel, M., Gunson, M., and
Beer,
R.: Tropospheric emission spectrometer: Retrieval method and error analysis,
IEEE T. Geosci. Remote Sens., 44, 1297–1307,
<ext-link xlink:href="http://dx.doi.org/10.1109/TGRS.2006.871234" ext-link-type="DOI">10.1109/TGRS.2006.871234</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>
Carfrae, J. A., Sheppard, L. J., Raven, J., Stein, W., Leith, I. D.,
Theobald, A., and Crossley, A.: Early effects of atmospheric ammonia
deposition on Calluna vulgaris (L.) hull growing on an ombrotrophic peat
bog, Water Air Soil Pollut. Focus, 4, 229–239, 2004.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>
Charlson, R. J., Langner, J., Rodhe, H., Leovy, C. B., and Warren, S. G.:
Perturbation of the Northern-Hemisphere Radiative Balance by Backscattering
from Anthropogenic Sulfate Aerosols, Tellus A, 43, 152–163, 1991.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>
Ciais, P., Sabine, C., Bala, G., Bopp, L., Brovkin, V., Canadell, J., Chhabra, A.,
DeFries,
R., Galloway, J., Heimann, M., Jones, C., Le Quéré, C.,
Myneni, R. B., Piao, S., and Thornton, P.: Carbon and Other Biogeochemical Cycles, in:
Climate Change 2013: The Physical Science Basis, Contribution of Working
Group I to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, edited by: Stocker, T. F., Qin, D., Plattner, G.-K., Tignor, M.,
Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V., and Midgley, P. M.,
Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA,
465–570, 2013.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Clarisse, L., Clerbaux, C., Dentener, F., Hurtmans, D., and Coheur, P.-F.:
Global ammonia distribution derived from infrared satellite observations,
Nature Geosci., 2,
479–483, <ext-link xlink:href="http://dx.doi.org/10.1038/ngeo551" ext-link-type="DOI">10.1038/ngeo551</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Clarisse, L., Shephard, M. W., Dentener, F., Hurtmans, D., Cady-Pereira, K.,
Karagulian, F., Van Damme, M., Clerbaux, C., and Coheur, P.-F.: Satellite
monitoring of ammonia: A case study of the San Joaquin Valley, J. Geophys.
Res., 115, D13302, <ext-link xlink:href="http://dx.doi.org/10.1029/2009JD013291" ext-link-type="DOI">10.1029/2009JD013291</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Clerbaux, C., Boynard, A., Clarisse, L., George, M., Hadji-Lazaro, J., Herbin, H.,
Hurtmans, D., Pommier, M., Razavi, A., Turquety, S., Wespes, C., and Coheur, P.-F.:
Monitoring of atmospheric composition using the thermal infrared
IASI/MetOp sounder, Atmos. Chem. Phys., 9, 6041–6054, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-9-6041-2009" ext-link-type="DOI">10.5194/acp-9-6041-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Clough, S. A., Rinsland, C. P., and Brown, P. D.: Retrieval of tropospheric ozone
from simulations of nadir spectral radiances as observed from space, J.
Geophys. Res., 100, 16579–16593, <ext-link xlink:href="http://dx.doi.org/10.1029/95JD01388" ext-link-type="DOI">10.1029/95JD01388</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>
Clough, S. A., Shephard, M. W., Mlawer, E. J., Delamere, J. S., Iacono, M.
J., Cady-Pereira, K., Boukabara, S., and Brown, R. D.: Atmospheric radiative
transfer modeling: a summary of the AER codes, J. Quant. Spectrosc. Radiat.
T., 91, 233–244, 2005.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Connor, T. C., Shephard, M. W., Payne, V. H., Cady-Pereira, K. E., Kulawik, S. S.,
Luo, M., Osterman, G., and Lampel, M.: Long-term stability of TES satellite
radiance measurements, Atmos. Meas. Tech., 4, 1481–1490, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-4-1481-2011" ext-link-type="DOI">10.5194/amt-4-1481-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Crouse, D. L., Peters, P. A., van Donkelaar, A., Goldberg, M. S.,
Villeneuve, P. J., Brion, O., Khan, S., Atari, D. O., Jerrett, M., Pope, C.
A., Brauer, M., Brook, J. R., Martin, R. V., Stieb, D., and Burnett, R. T.:
Risk of Non accidental and Cardiovascular Mortality in Relation to Long-term
Exposure to Low Concentrations of Fine Particulate Matter: A Canadian
National-Level Cohort Study, Environ. Health Perspect., 120, 708–714,
<ext-link xlink:href="http://dx.doi.org/10.1289/ehp.1104049" ext-link-type="DOI">10.1289/ehp.1104049</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Eldering, A., Kulawik, S. S., Worden, J., Bowman, K., and Osterman, G.:
Implementation of cloud retrievals for TES atmospheric retrievals: 2.
Characterization of cloud top pressure and effective optical depth
retrievals, J. Geophys. Res., 113, D16S37, <ext-link xlink:href="http://dx.doi.org/10.1029/2007JD008858" ext-link-type="DOI">10.1029/2007JD008858</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Heald, C. L., Collett Jr., J. L., Lee, T., Benedict, K. B., Schwandner, F. M.,
Li, Y., Clarisse, L., Hurtmans, D. R., Van Damme, M., Clerbaux, C., Coheur, P.-F.,
Philip, S., Martin, R. V., and Pye, H. O. T.: Atmospheric ammonia and
particulate inorganic nitrogen over the United States, Atmos. Chem. Phys., 12, 10295–10312, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-10295-2012" ext-link-type="DOI">10.5194/acp-12-10295-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Kulawik, S. S., Worden, J., Eldering, A., Bowman, K. W., Gunson, M., Osterman, G.,
Zhang,
L., Clough, S. A., Shephard, M. W., and Beer, R.: Implementation of Cloud
Retrievals for Tropospheric Emission Spectrometer (TES) Atmospheric
Retrievals – part I description and characterization of errors on trace gas
retrievals, J. Geophys. Res., 111, D24204, <ext-link xlink:href="http://dx.doi.org/10.1029/2005JD006733" ext-link-type="DOI">10.1029/2005JD006733</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Lamarque, J.-F., Bond, T. C., Eyring, V., Granier, C., Heil, A., Klimont, Z., Lee, D.,
Liousse, C., Mieville, A., Owen, B., Schultz, M. G., Shindell, D.,
Smith, S. J., Stehfest, E., Van Aardenne, J., Cooper, O. R., Kainuma, M., Mahowald, N.,
McConnell, J. R., Naik, V., Riahi, K., and van Vuuren, D. P.: Historical (1850–2000)
gridded anthropogenic and biomass burning emissions of reactive gases and aerosols:
methodology and application, Atmos. Chem. Phys., 10, 7017–7039, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-10-7017-2010" ext-link-type="DOI">10.5194/acp-10-7017-2010</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Lamarque, J.-F., Kyle, G., Meinshausen, M., Riahi, K., Smith, S., van
Vuuren, D., Conley, A., and Vitt, F.: Global and regional evolution of
short-lived radiatively-active gases and aerosols in the Representative
Concentration Pathways, Clim. Change, 109, 191–212,
<ext-link xlink:href="http://dx.doi.org/10.1007/s10584-011-0155-0" ext-link-type="DOI">10.1007/s10584-011-0155-0</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Luo, M., Shephard, M. W., Cady-Pereira, K. E., Henze, D. K., Zhu, L., Bash,
J. O., Pinder, R. W., Capps, S., and Walker, J.: Satellite Observations of
Tropospheric Ammonia and Carbon Monoxide: Global Distributions, Correlations
and Comparisons to Model Simulations, Atmos. Environ., 106, 262–277,
<ext-link xlink:href="http://dx.doi.org/10.1016/j.atmosenv.2015.02.007" ext-link-type="DOI">10.1016/j.atmosenv.2015.02.007</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Miller, D. J., Sun, K., Tao, L., Khan, M. A., and Zondlo, M. A.:
Open-path, quantum cascade-laser-based sensor for high-resolution
atmospheric ammonia measurements, Atmos. Meas. Tech., 7, 81–93, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-7-81-2014" ext-link-type="DOI">10.5194/amt-7-81-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>
Moncet, J.-L., Uymin, G., Lipton, A. E., and Snell, H. E.: Infrared radiance
modeling by optimal spectral sampling, J. Atmos. Sci., 65, 3917–3934, 2008.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>
Moré, J. J.: The Levenberg-Marquardt algorithm: implementation and theory, Numerical Analysis (Proc.
7th Biennial Conf., Univ. Dundee, 1977), Lecture Notes in Mathematics, 630, pp. 105–116, Springer,
Berlin, Germany, 1978.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Myhre, G., Samset, B. H., Schulz, M., Balkanski, Y., Bauer, S., Berntsen, T. K.,
Bian, H., Bellouin, N., Chin, M., Diehl, T., Easter, R. C., Feichter, J., Ghan, S. J.,
Hauglustaine, D., Iversen, T., Kinne, S., Kirkevåg, A., Lamarque, J.-F., Lin, G.,
Liu, X., Lund, M. T., Luo, G., Ma, X., van Noije, T., Penner, J. E., Rasch, P. J.,
Ruiz, A., Seland, Ø., Skeie, R. B., Stier, P., Takemura, T., Tsigaridis, K.,
Wang, P., Wang, Z., Xu, L., Yu, H., Yu, F., Yoon, J.-H., Zhang, K., Zhang, H.,
and Zhou, C.: Radiative forcing of the direct aerosol effect from AeroCom
Phase II simulations, Atmos. Chem. Phys., 13, 1853–1877, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-13-1853-2013" ext-link-type="DOI">10.5194/acp-13-1853-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>
Paerl, H. W., Dennis, R. L., and Whitall, D. R.: Atmospheric deposition of
nitrogen: Implications for nutrient over-enrichment of coastal waters,
Estuaries, 24, 667–693, 2002.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Pinder, R. W., Walker, J. T., Bash, J. O., Cady-Pereira, K. E., Henze, D. K.,
Luo,
M., and Shephard, M. W.: Quantifying spatial and temporal variability in
atmospheric ammonia with in situ and space-based observations, Geophys. Res. Lett.,
38, L04802, <ext-link xlink:href="http://dx.doi.org/10.1029/2010GL046146" ext-link-type="DOI">10.1029/2010GL046146</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>
Pope, C. A., Burnett, R. T., Thun, M. J., Calle, E. E., Krewski, D., Ito, K., and Thurston, G. D.: Lung cancer,
cardiopulmonary mortality, and long-term exposure to fine particulate air pollution, J. Am. Med. Assoc., 287,
1132–1141, 2002.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>
Pope, C. A., Ezzati, M., and Dockery, D. W.: Fine-particulate air pollution
and life expectancy in the United States, N. Engl. J. Med., 360, 376–386,
2009.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Reay, D. S., Dentener, F., Smith, P., Grace, J., and Feely, R. A.: Global
nitrogen deposition and carbon sinks, Nature Geosci., 1, 430–437,
<ext-link xlink:href="http://dx.doi.org/10.1038/ngeo230" ext-link-type="DOI">10.1038/ngeo230</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Reiss, R., Anderson, E. L., Cross, C. E., Hidy, G., Hoel, D., McClellan, R.,
and Moolgavkar, S.: Evidence of health impacts of sulfate- and
nitrate-containing particles in ambient air, Inhal. Toxicol., 19, 419–449,
<ext-link xlink:href="http://dx.doi.org/10.1080/08958370601174941" ext-link-type="DOI">10.1080/08958370601174941</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>
Rodgers, C. D.: Inverse methods for atmospheric Sounding: Theory and
Practice, World Sci., Hackensack, NJ, 2000.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>
Schwartz, J., Laden, F., and Zanobetti, A.: The concentration-response
relation between PM2:5 and daily deaths, Environ. Health Perspect., 110,
1025–1029, 2002.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics, John
Wiley, Hoboken, NJ, 1988.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Shephard, M. W., Worden, H. M., Cady-Pereira, K. E., Lampel, M., Luo, M.,
Bowman,
K. W., Sarkissian, E., Beer, R., Rider, D. M., Tobin, D. C., Revercomb, H. E.,
Fisher, B. M., Tremblay, D., Clough, S. A., Osterman, G. B., and Gunson, M.:
Tropospheric Emission Spectrometer Spectral Radiance Comparisons, J. Geophys. Res.,
113, D15S05, <ext-link xlink:href="http://dx.doi.org/10.1029/2007JD008856" ext-link-type="DOI">10.1029/2007JD008856</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Shephard, M. W., Clough, S. A., Payne, V. H., Smith, W. L., Kireev, S.,
and Cady-Pereira, K. E.: Performance of the line-by-line radiative transfer model
(LBLRTM) for temperature and species retrievals: IASI case studies from
JAIVEx, Atmos. Chem. Phys., 9, 7397–7417, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-9-7397-2009" ext-link-type="DOI">10.5194/acp-9-7397-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Shephard, M. W., Cady-Pereira, K. E., Luo, M., Henze, D. K., Pinder, R. W.,
Walker, J. T., Rinsland, C. P., Bash, J. O., Zhu, L., Payne, V. H., and Clarisse, L.:
TES ammonia retrieval strategy and global observations of the spatial
and seasonal variability of ammonia, Atmos. Chem. Phys., 11, 10743–10763, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-10743-2011" ext-link-type="DOI">10.5194/acp-11-10743-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Tobin, D.: Early Checkout of the Cross-track Infrared Sounder
(CrIS) on Suomi-NPP, Through the Atmosphere, Summer 2012, available at:
<uri>www.ssec.wisc.edu/news/media/2012/07/ttasummer20121.pdf</uri> (last access date: 17 March 2015), 2012.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Van Damme, M., Clarisse, L., Dammers, E., Liu, X., Nowak, J. B., Clerbaux, C.,
Flechard, C. R., Galy-Lacaux, C., Xu, W., Neuman, J. A., Tang, Y. S.,
Sutton, M. A., Erisman, J. W., and Coheur, P. F.: Towards validation of
ammonia (NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) measurements from the IASI satellite, Atmos. Meas. Tech. Discuss., 7, 12125–12172, <ext-link xlink:href="http://dx.doi.org/10.5194/amtd-7-12125-2014" ext-link-type="DOI">10.5194/amtd-7-12125-2014</ext-link>, 2014a.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Van Damme, M., Clarisse, L., Heald, C. L., Hurtmans, D., Ngadi, Y., Clerbaux, C.,
Dolman, A. J., Erisman, J. W., and Coheur, P. F.: Global distributions,
time series and error characterization of atmospheric ammonia (NH3) from
IASI satellite observations, Atmos. Chem. Phys., 14, 2905–2922, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-2905-2014" ext-link-type="DOI">10.5194/acp-14-2905-2014</ext-link>, 2014b.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Van Damme, M., Clarisse, L., Dammers, E., Liu, X., Nowak, J. B., Clerbaux,
C., Flechard, C. R., Galy-Lacaux, C., Xu, W., Neuman, J. A., Tang, Y. S.,
Sutton, M. A., Erisman, J. W., and Coheur, P. F.: Interactive comment on
“Towards validation of
ammonia (NH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) measurements from the IASI satellite”, Atmos. Meas. Tech. Discuss., 7, C4929–C4929, 2015.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Walker, J. M., Philip, S., Martin, R. V., and Seinfeld, J. H.:
Simulation of nitrate, sulfate, and ammonium aerosols over the United
States, Atmos. Chem. Phys., 12, 11213–11227, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-11213-2012" ext-link-type="DOI">10.5194/acp-12-11213-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Worden, J., Kulawik, S. S., Shephard, M. W., Clough, S. A., Worden, H.,
Bowman,
K., and Goldman, A.: Predicted errors of tropospheric emission spectrometer
nadir retrievals from spectral window selection, J. Geophys. Res., 109,
D09308, <ext-link xlink:href="http://dx.doi.org/10.1029/2004JD004522" ext-link-type="DOI">10.1029/2004JD004522</ext-link>, 2004.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Worden, H., Beer, R., Bowman, K., Fisher, B., Luo, M., Rider, D., Sarkissian, E.,
Tremblay, D., and Zong, J.: TES level 1 algorithms: Interferogram processing,
geolocation, radiometric, and spectral calibration, IEEE Trans. Geosci. Remote Sens., 44, 1288–1296,
<ext-link xlink:href="http://dx.doi.org/10.1109/TGRS.2005.863717" ext-link-type="DOI">10.1109/TGRS.2005.863717</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Zavyalov, V., Esplin, M., Scott, D., Esplin, B., Bingham, G., Hoffman, E.,
Lietzke, C., Predina, J., Frain, R., Suwinski, L., Han, Y., Major, C.,
Graham, B., and Phillips, L.: Noise performance of the CrIS instrument, J.
Geophys. Res. Atmos., 118, 13108–13120, <ext-link xlink:href="http://dx.doi.org/10.1002/2013JD020457" ext-link-type="DOI">10.1002/2013JD020457</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Zhu, L., Henze, D. K., Cady-Pereira, K. E., Shephard, M. W., Luo, M.,
Pinder, R. W., Bash, J. O., and Jeong, G.: Constraining U.S. ammonia
emissions using TES remote sensing observations and the GEOS-Chem adjoint
model, J. Geophys. Res.,  118, 3355–3368, <ext-link xlink:href="http://dx.doi.org/10.1002/jgrd.50166" ext-link-type="DOI">10.1002/jgrd.50166</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Zhu, L., Henze, D., Bash, J., Jeong, G.-R., Cady-Pereira, K., Shephard, M.,
Luo, M., Paulot, F., and Capps, S.: Global evaluation of ammonia bi-directional
exchange, Atmos. Chem. Phys. Discuss., 15, 4823–4877, <ext-link xlink:href="http://dx.doi.org/10.5194/acpd-15-4823-2015" ext-link-type="DOI">10.5194/acpd-15-4823-2015</ext-link>, 2015.</mixed-citation></ref>

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