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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-17-13625-2017</article-id><title-group><article-title>Cloud climatologies from the infrared sounders<?xmltex \hack{\newline}?> AIRS and IASI: strengths and applications</article-title>
      </title-group><?xmltex \runningtitle{Cloud climatologies from the infrared sounders AIRS and IASI}?><?xmltex \runningauthor{C. J. Stubenrauch et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Stubenrauch</surname><given-names>Claudia J.</given-names></name>
          <email>stubenrauch@lmd.polytechnique.fr</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Feofilov</surname><given-names>Artem G.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9924-4846</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Protopapadaki</surname><given-names>Sofia E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Armante</surname><given-names>Raymond</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Laboratoire de Météorologie Dynamique/Institute Pierre-Simon
Laplace, (LMD/IPSL), CNRS, Sorbonne Universities, University Pierre and
Marie Curie (UPMC) Paris, University of Paris 06, Paris, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Laboratoire de Météorologie Dynamique/Institute Pierre-Simon
Laplace, (LMD/IPSL), CNRS, Ecole Polytechnique, Université Paris-Saclay,
Palaiseau, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Claudia J. Stubenrauch (stubenrauch@lmd.polytechnique.fr)</corresp></author-notes><pub-date><day>15</day><month>November</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>22</issue>
      <fpage>13625</fpage><lpage>13644</lpage>
      <history>
        <date date-type="received"><day>4</day><month>May</month><year>2017</year></date>
           <date date-type="rev-request"><day>14</day><month>June</month><year>2017</year></date>
           <date date-type="rev-recd"><day>19</day><month>September</month><year>2017</year></date>
           <date date-type="accepted"><day>5</day><month>October</month><year>2017</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017.html">This article is available from https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017.pdf</self-uri>
      <abstract>
    <p>Global cloud climatologies have been built from 13 years of Atmospheric
Infrared Sounder (AIRS) and 8 years of Infrared Atmospheric Sounding
Interferometer (IASI) observations, using an updated Clouds from Infrared
Sounders (CIRS) retrieval. The CIRS software can handle any infrared (IR)
sounder data. Compared to the original retrieval, it uses improved radiative
transfer modelling, accounts for atmospheric spectral transmissivity changes
associated with CO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration and incorporates the latest ancillary
data (atmospheric profiles, surface temperature and emissivities). The global
cloud amount is estimated to be 0.67–0.70, for clouds with IR optical depth
larger than about 0.1. The spread of 0.03 is associated with ancillary data.
Cloud amount is partitioned into about 40 % high-level clouds, 40 %
low-level clouds and 20 % mid-level clouds. The latter two categories are
only detected in the absence of upper clouds. The A-Train active instruments,
lidar and radar of the CALIPSO and CloudSat missions, provide a unique
opportunity to evaluate the retrieved AIRS cloud properties. CIRS cloud
height can be approximated either by the mean layer height (for optically
thin clouds) or by the mean between cloud top and the height at which the
cloud reaches opacity. This is valid for high-level as well as for low-level
clouds identified by CIRS. IR sounders are particularly advantageous to
retrieve upper-tropospheric cloud properties, with a reliable cirrus
identification, day and night. These clouds are most abundant in the tropics,
where high opaque clouds make up 7.5 %, thick cirrus 27.5 % and thin
cirrus about 21.5 % of all clouds. The 5 % annual mean excess in
high-level cloud amount in the Northern compared to the Southern Hemisphere
has a pronounced seasonal cycle with a maximum of 25 % in boreal summer,
in accordance with the moving of the ITCZ peak latitude, with annual mean of
4<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, to a maximum of 12<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. This suggests that this excess
is mainly determined by the position of the ITCZ. Considering interannual
variability, tropical cirrus are more frequent relative to all clouds when
the global (or tropical) mean surface gets warmer. Changes in relative amount
of tropical high opaque and thin cirrus with respect to mean surface
temperature show different geographical patterns, suggesting that their
response to climate change might differ.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Clouds cover about 70 % of the Earth's surface and play a key role in the
energy and water cycle of our planet. The Global Energy and Water
Exchanges (GEWEX) Cloud Assessment (Stubenrauch et al., 2013) has
highlighted the value of cloud properties derived from space observations for
climate studies and model evaluation and has identified reasons for
discrepancies in the retrieval of specific scenes, in particular thin cirrus,
alone or with underlying low-level clouds. Compared to other passive remote
sensing instruments, the high spectral resolution of infrared (IR) vertical sounders
leads to especially reliable properties of cirrus, with IR optical depth as
low as 0.1, day and night. Channels varying in CO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption are used
to determine height and emissivity of a single cloud layer, which corresponds
to the uppermost cloud layer in the case of multiple cloud layers. While
measured radiances near the centre of the CO<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption band are only
sensitive to the upper atmosphere, radiances from the wing of the band are
emitted from successively lower levels in the atmosphere.</p>
      <p>Spaceborne IR sounders have been observing our planet since the 1980s: the
High-Resolution Infrared Radiation Sounders (HIRS) aboard the National
Oceanic and Atmospheric Administration (NOAA) polar satellites provide data
since 1979, the Atmospheric InfraRed Sounder (AIRS) aboard the National
Aeronautics and Space Administration (NASA) Earth Observation Satellite Aqua
since 2002, the Infrared Atmospheric Sounding Interferometer (IASI) aboard the
European Organisation for the Exploitation of Meteorological
Satellites (EUMETSAT) Meteorological Operation (Metop) since 2006 and the
Cross-track Infrared Sounder (CrIS) aboard the Suomi National Polar-orbiting
Partnership (NPP) satellite since 2011. A next generation of IR
sounders (IASI-NG) is foreseen as part of the EUMETSAT Polar System – Second
Generation (EPS-SG) program for 2021 (Crevoisier et al., 2014).</p>
      <p>Active sensors are part of the A-Train satellite formation (Stephens et
al., 2002), synchronous with Aqua, since 2006: the CALIPSO lidar and
CloudSat radar, together, are capable of observing the cloud vertical
structure (e.g. Henderson et al., 2013; Mace and Zhang, 2014). Whereas the
lidar can detect subvisible cirrus, its beam can only penetrate the cloud
down to optical depth of about 3 to 5 (in visible range). For optically
thicker clouds, the radar provides the cloud base.</p>
      <p>Our goal to establish a coherent long-term cloud climatology from different
IR sounders has led to the evolution of the original LMD cloud retrieval
method (Stubenrauch et al., 1999, 2006, 2008, 2010) towards an operational and
modular cloud retrieval algorithm suite, Clouds from Infrared Sounders (CIRS; Feofilov and Stubenrauch,
2017). The CIRS retrieval has so far been applied to AIRS and IASI data as
well as to HIRS data. The cloud property retrieval
employs radiative transfer modelling and atmospheric and surface ancillary
data (atmospheric temperature and water vapour profiles, surface temperature
and surface emissivity, identification of snow and ice). Compared to the
original retrieval, the CIRS retrieval applies improved radiative transfer
calculations and a novel calibration method, accounting for latitudinal,
seasonal and interannual atmospheric CO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variations, which adjusts the
atmospheric spectral transmissivity look-up tables.</p>
      <p>The 6-year AIRS-LMD cloud climatology (Stubenrauch et al., 2010)
participated in the GEWEX Cloud Assessment. In this article, we present the
results of (i) an updated and extended 13-year AIRS cloud climatology
(2003–2015), using two different sets of the latest ancillary data
(originating from retrievals and from meteorological reanalyses), and (ii) a
new 8-year IASI cloud climatology (2008–2015). After the description of data
and methods in Sect. 2, Sect. 3 is dedicated to the evaluation of cloud
detection and cloud height using the unique A-Train synergy of synchronous
passive and active measurements. Section 4 presents average cloud properties
and their regional, seasonal, interannual and long-term variability, in
comparison with other data sets, as well as uncertainty estimates with respect
to the used ancillary data. Section 5 concentrates on the variability of the
upper-tropospheric (UT) clouds with respect to changes in atmospheric conditions
in order to illustrate how these data may be used for climate studies.
Conclusions and an outlook are given in Sect. 6.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <title>AIRS data</title>
      <p>The AIRS instrument (Chahine et al., 2006) provides very high-spectral-resolution measurements of Earth-emitted radiation in 2378 spectral bands in
the thermal infrared (3.74–15.40 <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m). The spatial resolution of
these measurements varies from 13.5 km <inline-formula><mml:math id="M8" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 13.5 km at nadir to
41 km <inline-formula><mml:math id="M9" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 21 km at the scan extremes. The polar-orbiting Aqua
satellite provides observations at 01:30 and 13:30 LT (local Equator crossing time). Nine AIRS
measurements (3 <inline-formula><mml:math id="M10" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3) correspond to one footprint of the Advanced
Microwave Sounder Unit (AMSU), grouped as a “golf ball”.</p>
      <p>The CIRS cloud retrieval uses measured radiances along the wing of the
15 <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m CO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption band. We have chosen AIRS channels
closely corresponding to the five channels used in the TIROS-N Operational
Vertical Sounder (TOVS) Path-B cloud retrieval, at wavelengths of 14.19,
14.00, 13.93, 13.28 and 10.90 <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, and three additional channels at
14.30, 14.09 and 13.24 <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (with peaks in the weighting function at
285, 415, 565, 755 hPa and surface as well as at 235, 375 and 855 hPa,
respectively). The multi-spectral cloud detection, based on the spectral
coherence of retrieved cloud emissivities, decides whether the AIRS footprint
is cloudy (Sect. 2.5.3). For the latter, radiances in the atmospheric window
between 9 and 12 <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m are used, at six wavelengths of 11.85, 10.90,
10.69, 10.40, 10.16 and 9.12 <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
      <p>Ancillary data necessary for the cloud retrieval, which include atmospheric
temperature and water vapour profiles as well as surface skin temperature,
are provided by the NASA Science Team L2 standard products (version 6 (V6);
AIRS Science Team/Texeira, 2013). They were retrieved from cloud-cleared AIRS
radiances within each AMSU footprint. The methodology remains essentially the
same as described in Susskind et al. (2003). Compared to version 5 (V5),
the most significant changes are as follows: (i) V6 uses an IR–microwave
neural network solution (Blackwell et al., 2014) as a first guess for the
retrieval of atmospheric temperature and water vapour profiles as well as for
surface skin temperature, instead of the previously used regression approach
(Susskind et al., 2014). This leads to physical solutions for many more
cases than in V5. (ii) The retrieval of surface skin temperature only uses
shortwave IR window channels (Susskind et al., 2014). These modifications
resulted in significant improvement of accurate temperature profiles and
surface skin temperatures under partially cloudy conditions (Van T. Dang et
al., 2012): Compared to V5, the surface skin temperature is larger over land
in the afternoon (especially over desert) and over maritime stratocumulus
regions.</p>
      <p>In addition, we use the microwave identification of snow- or ice-covered
surfaces, also provided by the NASA L2 data.</p>
      <p>Since the retrieved cloud pressure should be within the troposphere/lower
stratosphere, we have determined the tropopause pressure from the atmospheric
profiles, using the concept described in Reichler et al. (2003) and in
Feofilov and Stubenrauch (2017). The CIRS cloud retrieval allows cloud levels
up to 30 hPa above the tropopause.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>IASI data</title>
      <p>IASI, developed by CNES in collaboration with EUMETSAT, is a Fourier
transform spectrometer based on a Michelson interferometer, which covers the
IR spectral domain from 3.62 to 15.5 <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m. As a cross-track scanner,
the swath corresponds to 30 ground fields per scan, and each of these measures a
2 <inline-formula><mml:math id="M18" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 array of footprints. The latter have a 12 km diameter at
nadir. IASI raw measurements are interferograms that are processed to
radiometrically calibrated spectra on board the satellite. Two instruments
were launched so far on board the European platforms Metop-A and Metop-B, with measurements in
October 2006 and September 2012, respectively, at
09:30 and 21:30 LT (Metop-A) and 10:30 and 22:30 LT (Metop-B). IASI has been
providing water vapour and temperature sounding profiles for operational
meteorology (accuracy requirements  of, respectively, 1 K and 10 % in the
troposphere) as well as trace gas concentrations and surface and atmospheric
properties, including those of aerosols and clouds (Hilton et al., 2012).
For the cloud retrieval, we use radiances at the wavelengths 14.30, 14.20,
14.06, 14.00, 13.93, 13.40, 13.24 and 10.90 <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and for the
multi-spectral cloud detection the radiances at 11.85, 10.90, 10.70, 10.41,
10.16 and 9.13 <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
      <p>At the time we started incorporating IASI data to the CIRS cloud retrieval,
two data sets of IASI-retrieved atmospheric profiles and surface temperature
were available: one provided by EUMETSAT (version 5) and one by NOAA.
EUMETSAT L2 temperature and water vapour version 5 products were only
available for clear and partly cloudy scenes, leaving atmospheric and surface
retrievals in only 9 % of all cases. Therefore we first used IASI L2
ancillary data provided by NOAA. The comparison with collocated temperature
profiles of the Analyzed RadioSoundings Archive (ARSA, available at the
French data centre AERIS) has shown that, while AIRS-NASA and ERA-Interim
(Sect. 2.3) temperature profiles do agree in general with the ARSA profiles
within 1 K, differences between IASI-NOAA and ARSA profiles were often
larger than 1 K in the lower troposphere (not shown). In addition, a study
of the influence of the different ancillary data on the CIRS cloud amount (CA) has
demonstrated that the amount of low-level clouds over ocean was
underestimated when using those deduced from IASI-NOAA (Feofilov et al.,
2015a). This might be explained by an underestimation of the sea surface
temperature (SST) linked to cloud contamination. From this we concluded that
the AIRS–IASI synergy to explore cloud diurnal variability in a coherent way
needs ancillary data from similar retrievals or from the same source. Thus we
also implemented ancillary data from the European Centre for Medium-Range
Weather Forecasts (ECMWF) meteorological reanalyses into the CIRS cloud
retrieval.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>ERA-Interim meteorological reanalyses</title>
      <p>ECMWF provides the meteorological reanalyses ERA-Interim, covering the period
from 1989 onwards. Dee et al. (2011) give a detailed description of the
model approach and the assimilation of data. The data assimilation scheme is
sequential: at each time step, it assimilates available observations to
constrain the model, which then provides a short-range forecast for the next
assimilation time step. Gridded data products (at a spatial resolution of
0.75<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.75<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude) include 6-hourly
surface temperature, atmospheric temperature and water vapour profiles, as
well as dynamical parameters such as horizontal and vertical large-scale
winds. These data are given at universal time of 00:00, 06:00, 12:00 and
18:00. To match these data with the AIRS and IASI observations, we
interpolate them to the corresponding local time, using a cubic spline
function, as in Aires et al. (2004).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Collocated AIRS–CALIPSO–CloudSat data</title>
      <p>All satellites of the A-Train follow each other within a few minutes. We use
the same collocation procedure as in Feofilov et al. (2015b): first, each
AIRS footprint is collocated with NASA CALIPSO L2 cloud data averaged over
5 km (version 3; Winker et al., 2009) in such a way that for each AIRS
golf ball, three CALIPSO samples are matched to the centres of three AIRS
footprints. These data are then collocated with the NASA L2 CloudSat-lidar
geometrical profiling (GEOPROF) data (version R04; Mace and Zhang, 2014).
Each of these AIRS footprints thus includes cloud top and cloud base for each
of the cloud layers, detected by lidar or radar, at the spatial resolution of
the radar footprints (1.4 km <inline-formula><mml:math id="M24" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.3 km) from the GEOPROF data.
Cloud optical depth (COD), cloud top, <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and apparent cloud
base (corresponding to the real cloud base or to the height at which the
cloud reaches opacity), <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, are given at the spatial
resolution of the CALIPSO cloud data (5 km <inline-formula><mml:math id="M27" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.09 km). A cloud
feature flag indicates whether the cloud is opaque. The CALIPSO cloud data
also indicate at which horizontal averaging along the track the cloud was
detected (1, 5 or 20 km), which is a measure of the COD. As in Stubenrauch
et al. (2010), for a direct comparison with AIRS cloud data, we use clouds
detected at horizontal averaging over 5 km or less. This corresponds to
clouds with visible COD larger than about 0.05 to 0.1 (Winker et al.,
2008).</p>
      <p>The scene type of an AIRS footprint is estimated as cloudy when the CALIPSO
sample as well as the GEOPROF sample include at least one cloud layer. Clear
sky is defined by cloud-free CALIPSO and GEOPROF samples within the AIRS
footprint.</p>
      <p>For the evaluation of cloud height, we identify the GEOPROF cloud layer which
is closest to <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from AIRS and estimate the height at which the
cloud reaches a COD of 0.5, <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, from CALIPSO.
<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is required to be located within the corresponding
GEOPROF cloud layer. <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is deduced from the CALIPSO L2 COD,
assuming a constant increase of COD from cloud top towards cloud base, except
for high-level clouds, for which the shape of the ice water content profile
as a function of cloud emissivity is taken into account (Feofilov et al.,
2015b). As the COD of CALIPSO might be slightly underestimated (Lamquin et
al., 2008), especially for larger COD, we reduce the ratio 0.5 <inline-formula><mml:math id="M32" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> COD to
0.4 <inline-formula><mml:math id="M33" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> COD, used in the estimation of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <title>CIRS cloud property retrieval </title>
      <p>The cloud property retrieval is based on a weighted <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> method using
channels along the wing of the 15 <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m CO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption band
(Stubenrauch et al., 1999). Cloud pressure and effective emissivity are
determined by minimizing <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), computed at different atmospheric
pressure levels by summation over <inline-formula><mml:math id="M39" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> wavelengths <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M41" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced open="[" close=""><mml:mfenced close=")" open="("><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mfenced><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mfenced close="]" open="."><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mfenced></mml:mfenced><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:msup><mml:msup><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the measured radiance. <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
simulated radiance the IR sounder would measure in the case of clear sky, and
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is the radiance emitted by a homogeneous opaque
single cloud layer at pressure level <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated
for 42 <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels (from 984 to 86 hPa) for the viewing zenith
angle of the observation. A sensitivity study has shown that five (for HIRS)
to eight channels (AIRS and IASI) are sufficient, as doubling the number of
channels in the retrieval did not change the results.</p>
      <p>By introducing empirical weights <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi>W</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the method takes
into account (i) the vertical contribution of the different channels,
(ii) the growing uncertainty in the computation of <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
with increasing <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and (iii) uncertainties in atmospheric profiles.
These weights are determined for each of five typical air mass classes
(tropical, midlatitude summer and winter, polar summer and winter) as in
Stubenrauch et al. (1999) and in Feofilov and Stubenrauch (2017), using the
spread of clear-sky radiances within these air mass classes. The clear-sky
radiances have been simulated for each of the atmospheric profiles of these
five air mass classes, using the 4A radiative transfer model (Scott and
Chédin, 1981), and stored in the Thermodynamic Initial Guess Retrieval
(TIGR) database (Chédin et al., 1985, 2003; Chevallier et al., 1998).
Minimizing <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in Eq. (1) is equivalent to
<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi>d</mml:mi><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, from which one can extract
<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M54" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9.2}{9.2}\selectfont$\displaystyle}?><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mfenced close="]" open="["><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mfenced><mml:mo>⋅</mml:mo><mml:mfenced close="]" open="["><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mfenced><mml:mo>⋅</mml:mo><mml:msup><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced open="[" close="]"><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:msup><mml:mi>W</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            In general, the <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles have a more pronounced minimum for
high-level clouds than for low-level clouds. We stress here that for the
identification of low-level clouds it is important to allow values larger
than 1 for <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, because at larger pressure
<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> become very similar and their
uncertainties may lead to values larger than 1 (Stubenrauch et al., 1999).
Thus only pressure levels leading to
<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt;  1.5 are excluded from the
solution. Typical <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> uncertainties have been estimated from a
statistical analysis of the <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> profiles: they range from 30 hPa
for high-level clouds to 120 hPa for low-level clouds, corresponding to
about 1.2 km in altitude, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>In the case of atmospheric temperature inversions in the lower troposphere,
the cloud height is moved to the inversion level, <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">inv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, defined
as the highest level with
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">inv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) &gt; <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. To detect these cases,
the inversion strength, defined by <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">inv</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, has
to be larger than 2 K. Depending on the ancillary data, these cases occur in
about 7 to 15 % of all cloudy cases. <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as
defined in Eq. (2) does not have a physical meaning in the case of an
inversion, since <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) will be greater than
<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, we scale <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the
spectral emissivities in accordance with the ratio
<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">inv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>Cloud temperature, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is determined from <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
using the ancillary temperature profile similar to the observed situation
(see Sect. 2.5.1). Cloud types are distinguished according to
<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. High-level clouds are
defined by <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 440 hPa, mid-level clouds by
440 hPa &lt; <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 680 hPa and low-level
clouds by <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 680 hPa. High-level clouds may be
further distinguished into opaque (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 
0.95), cirrus (0.95 &gt; <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 
0.50) and thin cirrus (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 0.50).
<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is transformed to cloud altitude, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using a
standard hydrostatic conversion.</p>
      <p>For the computation of <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (1), we
need (i) surface type (ocean, land, ice/snow), surface temperature and
spectral emissivities, (ii) atmospheric temperature and water vapour profiles
as well as spectral transmissivity profiles for the atmospheric situation of
the measurements. The latter have been calculated using the 4A radiative
transfer model, separately for each satellite viewing zenith angle (up to
50<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and for about 2300 representative clear-sky atmospheric
temperature and humidity profiles of the TIGR database.</p>
      <p>In the cloud retrieval, the TIGR database is searched for the atmospheric
profile corresponding best to the observational conditions by applying a
proximity recognition which compares the atmospheric temperature and water
vapour profiles from the ancillary data with those from TIGR as in
Stubenrauch et al. (2008). The preparation and evaluation of these
ancillary data is presented in Sect. 2.5.1.</p>
<sec id="Ch1.S2.SS5.SSS1">
  <title>Preparation and comparison of atmospheric and surface ancillary
data</title>
      <p><italic>Spectral surface emissivities.</italic> Over land, we use monthly mean
spectral surface emissivity climatological values at a spatial resolution of
0.25<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, retrieved from IASI measurements
(Paul et al., 2012). For AIRS, these spectral surface emissivities have
been interpolated to the AIRS wavelengths. Over ocean, the surface emissivity
is set to 0.99 for <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 10 <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and 0.98 for
<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m (Wu and Smith, 1997). Over snow and
ice, the spectral surface emissivities are taken from Hori et al. (2006)
and, as they depend on the viewing zenith angle, they had to be corrected like
in Smith et al. (1996).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Normalized distributions of the difference between surface skin
temperature, as used in the cloud retrieval, deduced from AIRS-NASA of good
quality and from ERA-Interim, and collocated surface air temperature of the
ARSA database. Statistics includes January and July from 2003–2015,
separately over land for colder temperatures
(<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 290 K), over land for warmer temperatures
(<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 290 K) and over ocean.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f01.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Geographical maps of difference in total CA <bold>(a, b)</bold> between the two
AIRS-CIRS data sets, based on ancillary data from AIRS-NASA and from
ERA-Interim, and in <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c, d)</bold> between AIRS-NASA and
ERA-Interim as used in the retrieval, separately at 01:30 LT <bold>(a, c)</bold> and at
13:30 LT <bold>(b, d)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f02.png"/>

          </fig>

      <p><italic>Atmospheric profiles and surface temperature.</italic> Since IR sounders, in
combination with microwave sounders, were originally designed for the
retrieval of atmospheric temperature and humidity profiles, the atmospheric
clear-sky situation can then be directly described by simultaneous L2
atmospheric profiles of good quality. If good-quality data are not available
for a given measurement, we use 1<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M101" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
longitude averages of good-quality data. If still no data are available, we
interpolate these averages in time (inversely proportional to distance within
maximal <inline-formula><mml:math id="M103" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>15 days) and then in space (inversely proportional to distance
within maximal 3<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude, considering the same surface type).</p>
      <p>To define atmospheric temperature and humidity profiles as well as surface
temperature of good quality, one has to find a compromise between an
acceptable quality and enough statistics.</p>
      <p>This led to the following quality criteria in the case of ancillary data from
AIRS-NASA (V6):
<list list-type="bullet"><list-item>
      <p>Surface temperature is of good quality if the provided retrieval error
is smaller than 3 K for ocean, 6 K for land and 7 K for ice or snow,
respectively. It should also be larger than 180 K and smaller than 400 K.</p></list-item><list-item>
      <p>Atmospheric temperature profiles are of bad quality when three consecutive
layers have retrieval errors larger than 2 K, 2 K and 2 K over ocean;
2.5 K, 2.5 K and 3 K over land; and 2.5 K, 2.5 K and 5 K over ice or
snow, between 70 hPa and 500 hPa, between 500 hPa and surface, and
near surface, respectively.</p></list-item><list-item>
      <p>For atmospheric water vapour profiles the NASA L2 quality criteria were
kept
(Olsen et al., 2013).</p></list-item></list>
Nevertheless, the SSTs of good quality from AIRS-NASA were still slightly
colder than those of ERA-Interim. As this effect is most probably linked to
AIRS-NASA residual cloud contamination, we added to the AIRS-NASA SSTs the
minimum between the retrieval error and 0.5 K. Since differences over land
might be positive or negative (Fig. 2), we left the AIRS-NASA surface
temperature (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) values unchanged.</p>
      <p>For ERA-Interim, the time-interpolated atmospheric profiles and surface
temperatures are always available. However, we found that the
time-interpolated ERA-Interim SSTs did not show a diurnal cycle, with most
amplitudes less than 0.2 K. As this is not consistent with observations
(e.g. Webster et al., 1996), we applied a simple parameterized correction,
linking the SST diurnal cycle to peak insolation (Webster et al., 1996).
The coefficient between the SST diurnal amplitude and the maximal solar flux
at given latitude, longitude, solar zenith angle and local time was adjusted
to 0.005 K Wm<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, so that the SST diurnal
amplitude is consistent with recent observations (e.g. Seo et al., 2014).
Without this correction, the CA at night and early afternoon was
78 % and 71 %, respectively, compared to 71 % and 71 % when using AIRS ancillary
data. The correction led to 76 % and 73 %, respectively, closer to the results using
AIRS ancillary data. Over land, without changes in <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, CA at
night and early afternoon is 62 % and 56 % with ERA-Interim and
56 % and 58 % with AIRS-NASA, respectively.</p>
      <p>Figure 1 presents comparisons between <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as used in the cloud
retrieval, deduced from AIRS-NASA and from ERA-Interim and collocated
surface air temperature, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, from the ARSA database. One would expect that over land <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> would be colder than
<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> during night and warmer than
<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the afternoon; this effect should be
stronger for warmer temperatures, especially if the climate is dry. SST
should be similar to <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in the tropics: slightly
warmer in midlatitudes and colder in polar regions. The distributions in
Fig. 1 reflect the expectations, with similar peak positions for AIRS-NASA
and ERA-Interim, although distributions over land are slightly broader for
AIRS-NASA than for ERA-Interim. They are also shifted towards colder values
at night. In the afternoon, <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of AIRS-NASA is slightly larger
than <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of ERA-Interim for situations with warm
<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Colder AIRS-NASA values might still indicate some cloud
contamination, whereas the colder values of ERA-Interim over warm land in the
afternoon might indicate an underestimation, especially over desert, as has
already been pointed out by Trigo et al. (2015). The effect of
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on CA will be further investigated in Sect. 3.1.</p>
</sec>
<sec id="Ch1.S2.SS5.SSS2">
  <?xmltex \opttitle{Accounting for changes in atmospheric CO${}_{{2}}$ concentration}?><title>Accounting for changes in atmospheric CO<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration</title>
      <p>The TIGR database of atmospheric spectral transmissivities was created for
an atmosphere with a fixed CO<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> volume mixing ratio of 372 ppmv. However,
the atmospheric CO<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration varies latitudinally, seasonally and
with time. Both the increase during the last 10 years and the seasonal
variability in the Northern Hemisphere (NH) are of the order of
<inline-formula><mml:math id="M121" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 ppmv. The latter is related to the vegetation and fossil fuel
burning seasonality. The difference between an averaged value and actual
CO<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> volume mixing ratio can easily reach 10 %. This is a noticeable
change, as the concentration enters the power of the exponent in the
calculation of the transmissivity, <inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>. To avoid errors associated with
CO<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> changes in the radiative transfer computations, we rescale the
transmissivity as
              <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M125" display="block"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>⋅</mml:mo><mml:msup><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:mi mathvariant="normal">current</mml:mi></mml:msup><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            with <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mo>⋅</mml:mo><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msup><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msup><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:mi mathvariant="normal">ref</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>C</mml:mi><mml:msubsup><mml:mi>O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">ref</mml:mi></mml:msubsup><mml:mo>⋅</mml:mo><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M128" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>
is the relative CO<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> contribution to the opacity of the channel. Details
are described in Feofilov and Stubenrauch (2017). The CO<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations
are taken from (GLOBALVIEW-CO2, 2013).</p>
      <p>This correction also removes long-term biases due to increasing CO<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in
the atmosphere from anthropogenic CO<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions, which introduced an
artificial increase in the CA time series. Applying the correction
of Eq. (3) has eliminated this bias (see Sect. 4).</p>
</sec>
<sec id="Ch1.S2.SS5.SSS3">
  <title>Multi-spectral a posteriori cloud detection</title>
      <p>Once the cloud properties are retrieved, to constrain cloud definition, we
use the spectral standard deviation <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of
retrieved cloud emissivities between 9 and 12 <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, wavelengths in
the IR atmospheric window, as described in Stubenrauch et al. (2010). For
each footprint, cloud emissivities <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are determined
at six wavelengths, <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Sect. 2.1), as
              <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M137" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">clr</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is now determined for <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, retrieved by the
<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> method (see above).</p>
      <p>The relative standard deviation of these cloud emissivities, <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is much larger when
the footprint is partly cloudy or clear (hence <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is biased)
than for cloudy cases, when <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
are well determined. This behaviour is illustrated in Fig. 2 of Stubenrauch
et al. (2010) and in Fig. S1 of the Supplement, contrasting distributions
of the relative standard deviation of these cloud emissivities, <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, of cloudy and
clear-sky scenes from CALIPSO samples. Guided by these figures and
experimenting with thresholds to obtain a good agreement in CA compared to
CALIPSO–CloudSat (Sect. 3) and to other data sets (Sect. 4), we define the
AIRS footprint as cloudy if the following conditions are fulfilled: <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 0.17 for
ocean (both ancillary data), <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 0.20 for land (both
ancillary data) and <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 0.30/0.20 (AIRS-NASA/ERA-Interim ancillary data) for ice and
snow.</p>
      <p>For IASI we do not have the possibility to distinguish <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distributions according to
CALIPSO–CloudSat cloudy and clear-sky scenes. However, the overall
distributions of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are similar for AIRS and IASI,
comparing retrievals based on ERA-Interim ancillary data. Therefore we use
the same thresholds for the IASI cloud detection.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Normalized frequency distributions of the difference between the
cloud height at which the optical depth reaches a value of 0.5 from CALIPSO
and <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from AIRS; <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is compared to the cloud
layer of CALIPSO, which corresponds to the CloudSat lidar GEOPROF, and
is the closest to <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Sect. 2.4). Analysis over tropics
(30<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–30<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S), midlatitudes (30–60<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and polar
latitudes (60–85<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), separately for high-level clouds and for clouds
with <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 440 hPa. The effect of using different
ancillary data is also presented. Statistics include 3 years (2007–2009) of
observations at 01:30 LT.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f03.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Hit rates between AIRS-CIRS and CALIPSO–CloudSat cloud detection.
Statistics include 3-year (2007–2009) collocated observations at
01:30 LT.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Surface/latitude</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">Tropics </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Midlatitudes </oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">Polar </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Ancillary data</oasis:entry>  
         <oasis:entry colname="col2">AIRS</oasis:entry>  
         <oasis:entry colname="col3">ERA</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">AIRS</oasis:entry>  
         <oasis:entry colname="col6">ERA</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">AIRS</oasis:entry>  
         <oasis:entry colname="col9">ERA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Ocean</oasis:entry>  
         <oasis:entry colname="col2">86.5 %</oasis:entry>  
         <oasis:entry colname="col3">84.2 %</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">90.2 %</oasis:entry>  
         <oasis:entry colname="col6">91.5 %</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">93.0 %</oasis:entry>  
         <oasis:entry colname="col9">95.0 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Land</oasis:entry>  
         <oasis:entry colname="col2">86.4 %</oasis:entry>  
         <oasis:entry colname="col3">83.2 %</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">80.7 %</oasis:entry>  
         <oasis:entry colname="col6">77.6 %</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">77.3 %</oasis:entry>  
         <oasis:entry colname="col9">79.7 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sea ice</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">71.5 %</oasis:entry>  
         <oasis:entry colname="col6">82.0 %</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">71.2 %</oasis:entry>  
         <oasis:entry colname="col9">81.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Snow</oasis:entry>  
         <oasis:entry colname="col2">73.5 %</oasis:entry>  
         <oasis:entry colname="col3">71.9 %</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">74.9 %</oasis:entry>  
         <oasis:entry colname="col6">68.5 %</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">65.5 %</oasis:entry>  
         <oasis:entry colname="col9">66.7 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>To reduce misidentification of clear sky as high-level clouds, only clouds
with <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M160" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.10 are considered.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p><bold>(a)</bold> <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
<bold>(b)</bold> <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <bold>(c)</bold> (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M165" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) as functions of
<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for high-level clouds in the tropics, midlatitudes
and polar latitudes. Presented are median values and the interquartile
ranges. Three years of statistics, for which <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> lie within vertical cloud borders from GEOPROF.
Observations at 01:30 LT.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f04.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Normalized frequency distributions of <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from
CALIPSO (black) and of <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from AIRS, using ancillary data from
AIRS-NASA (red) and from ERA-Interim (green), separately over land <bold>(a)</bold> and
over ocean <bold>(b)</bold>, in the tropics, midlatitudes and polar latitudes. For each
data set, two distributions are compared: statistics of all detected clouds,
except subvisible cirrus (dashed line), and only of single-layer clouds with
a cloud coverage filling the AIRS golf ball (full line).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS5.SSS4">
  <title>Summary of changes compared to the previous version of the
AIRS-LMD cloud retrieval</title>
      <p>Compared to the retrieval used to produce the 6-year AIRS-LMD cloud
climatology (Stubenrauch et al., 2010), the following changes have been
implemented into the CIRS algorithm:
<list list-type="bullet"><list-item>
      <p>extension of minimum cloud pressure from 106 to 86 hPa;</p></list-item><list-item>
      <p>update of atmospheric and surface ancillary data from NASA V5 to NASA
V6;</p></list-item><list-item>
      <p>improved interpolation of atmospheric and surface ancillary data;</p></list-item><list-item>
      <p>moving the cloud to the inversion level and scaling
<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the case of atmospheric temperature inversions;</p></list-item><list-item>
      <p>improved radiative transfer computations of the TIGR atmospheric spectral
transmissivities;</p></list-item><list-item>
      <p>adjusting the TIGR spectral transmissivity for the lowermost layer in
accordance with the observed surface pressure;</p></list-item><list-item>
      <p>decreased cloud detection thresholds due to improved radiative transfer
computations;</p></list-item><list-item>
      <p>reducing the number of cloud detection tests to one, which is based on the
coherence of cloud spectral emissivity;</p></list-item><list-item>
      <p>considering clouds with <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.10, instead of
<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.05;</p></list-item><list-item>
      <p>taking into account variable CO<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration in spectral
transmissivity estimates.</p></list-item></list>
As we will see in Sect. 4, the impact of these changes is in general small,
but taking into account variable CO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration is important for
addressing the long-term variability of clouds.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Evaluation of cloud properties using the A-Train synergy</title>
      <p>The lidar and radar of the CALIPSO and CloudSat missions provide a unique
opportunity to evaluate the retrieved AIRS cloud properties such as cloud
amount and cloud height and to explore the vertical structure of the
AIRS cloud types (Stubenrauch et al., 2010). These results can then be
transposed to cloud types determined by the CIRS retrieval using other IR
sounders.</p>
      <p>In the following, we analyse 3 years (2007–2009) of collocated
AIRS–CALIPSO–CloudSat data, separately for three latitude bands:
tropical and subtropical latitudes (30<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–30<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S), midlatitudes
(30–60<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30–60<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) and polar latitudes
(60–90<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 60–90<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S).</p>
<sec id="Ch1.S3.SS1">
  <title>Cloud detection</title>
      <p>The hit rates (fraction of agreeing cloudy and clear cases) between the
AIRS-CIRS cloud detection and the lidar–radar cloud detection (Sect. 2.4) are
85 % (84 %) over ocean, 82 % (79 %) over land and 70 %
(73 %) over ice/snow. Values in parentheses correspond to ERA-Interim
ancillary data. Table 1 presents separate comparisons for the three latitude
bands. In general, the hit rates are quite high, considering that CALIPSO and
GEOPROF data only sample a small area of the AIRS footprints. They are
slightly higher over ocean than over land. Compared to the AIRS-LMD cloud
retrieval presented in Stubenrauch et al. (2010), the agreement with
CALIPSO–CloudSat has improved both over ocean and land but slightly
decreased over sea ice. The latter can be explained by applying  only one
test over all surface types. In the earlier version we used an additional
brightness temperature difference test related to temperature inversions. A
detailed analysis (not shown) indicated that it also introduced noise.</p>
      <p>To further illustrate CA uncertainties linked to ancillary data, we
investigate, in Fig. 2, geographical maps of differences in CA and
<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using ancillary data from AIRS-NASA and from ERA-Interim.
With AIRS-NASA ancillary data, CA over land is often smaller during night and
larger in the afternoon, with <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> also smaller during night and
larger in the afternoon over large parts of the continents. Considering the
<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> comparison with ARSA (Sect. 2.5), this means that over land
CA is slightly underestimated during night with AIRS-NASA ancillary data,
while slightly underestimated in the afternoon with ERA-Interim ancillary
data. Patterns of differences in atmospheric water vapour are less reflected
in those of CA (not shown), but slightly more atmospheric water vapour in the
ancillary data (as in the tropics for AIRS-NASA compared to ARSA and
ERA-Interim) might lead to a slight underestimation of CA.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Cloud height</title>
      <p>Figure 3 presents normalized distributions of the difference between
<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from CALIPSO (Sect. 2.4) and <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, from AIRS
for the three latitude bands. We compare results for
<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 440 hPa and <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 440 hPa
separately for AIRS-NASA and ERA-Interim ancillary data. In general, all
distributions peak around 0 km and are slightly narrower for lower-level
clouds than for high-level clouds. Results are similar for both ancillary
data, with a slight cloud height overestimation of lower-level clouds over
tropical ocean for ERA-Interim (not shown) and a height overestimation of
some clouds over polar ocean for AIRS-NASA ancillary data (not shown). The
latter can be explained by the fact that in some of these regions
<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>and atmospheric profiles of good quality are only available
10 % of the time. When comparing distributions of
<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the peaks for lower clouds are still around
0 km, whereas for high-level clouds <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lies on average 1.5 km
below the cloud top (not shown), very similar to results in Stubenrauch et
al. (2010). This means that <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is about 10 K warmer than the
cloud top (Fig. S2 of the Supplement). The broader distributions for
high-level clouds compared to low-level clouds may be explained by the fact
that high-level clouds often have diffuse cloud tops (e. g. Liao et al.,
1995), especially in the tropics (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is slightly
larger for the same <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as shown in Fig. 5). To
summarize, <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be approximated by (i) the height of maximum
lidar backscatter (Stubenrauch et al., 2010), (ii) <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(Fig. 3) or (iii) the mean layer height (for optically thin clouds) or the
mean between cloud top and the height at which the cloud reaches opacity), as
shown in Fig. S2 in the Supplement (considering mid-<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) .</p>
      <p>For a more detailed investigation of the different height approximations,
Fig. 4 compares median values of <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) as functions of
<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for high-level clouds. For this analysis we have
selected cases for which <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lies between top and base of the
closest GEOPROF cloud layer. This leaves about 82 %, 73 % and 57 % of
the statistics in tropics, midlatitudes and polar regions, respectively.
<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> varies from 1 km above for
<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M209" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.1 to 1 km below <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for
<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1, assuming that <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
accurately estimated for all <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Sect. 2.4). In that
case, <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of thin cirrus should be approximated by a height with
COD &lt; 0.5 and <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of opaque high clouds by a height
with COD &gt; 0.5. In contrast, <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lies about
1 km to 2 km below <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the difference to cloud top increasing
with <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (except for <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> close
to 1). Since <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> also increases with
<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (not shown), <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) does not depend on
<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and is about 0.5. We deduce that it probably
needs less vertical extent for opaque clouds than for semi-transparent cirrus
to reach a COD of 0.5, while the <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> method determines a height within
the cloud, which corresponds well to the mean between cloud top and base or
the height at which the cloud reaches opacity, independent of
<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This is important to take into account for the
determination of radiative fluxes and heating rates of UT
clouds, when using CIRS cloud heights. We want to stress that  <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">base</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is about 0.5 (0.4 to 0.6) for
low-level clouds as well, while <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lies
only about 0.1 to 0.4 km below <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and about 0.5 km below
<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S3 of the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Normalized frequency distributions of <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, separately
over land and over ocean in six latitude bands of 30<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> from SH polar
<bold>(a)</bold> to NH polar latitudes <bold>(b)</bold>, in boreal winter (December, January, February;
blue) and in boreal summer (June, July, August; red). Compared are results
from AIRS-CIRS using two sets of ancillary data (AIRS-NASA, dashed line) and
(ERA-Interim, dotted line), as well as from IASI-CIRS (full line) (statistics
from 2008).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p><bold>(a)</bold> Global averages of total cloud amount (CA) and fraction of
high-level, mid-level and low-level cloud amount, relative to total cloud
amount (CAHR <inline-formula><mml:math id="M233" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CAMR <inline-formula><mml:math id="M234" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CALR <inline-formula><mml:math id="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1). Comparisons of IR sounder cloud data
(AIRS, IASI) with L3 data from the GEWEX Cloud Assessment database,
separately for observations mostly during day (13:30 LT; 15:00 LT for ISCCP and
09:30 LT for IASI, left) and mostly during night (01:30 LT; 03:00 LT for ISCCP and
21:30 LT for IASI). Compared to the original ISCCP data, the day–night
adjustment on CA has not been included to better illustrate the differences
between VIS–IR and IR-only results. <bold>(b)</bold> Averages of ocean–land differences
for the same parameters and data sets.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Annual mean zonal distributions of CA, CAH and CAL <bold>(a)</bold> and CAE,
CAEH and CAEL <bold>(b)</bold>. Results are compared between AIRS-CIRS, using ancillary
data from AIRS-NASA and from ERA-Interim, IASI-CIRS and AIRS-LMD.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p><bold>(a, b)</bold>: Geographical maps of annual CAH <bold>(a, c, e)</bold>
and CAL <bold>(b, d, f)</bold>, from AIRS-CIRS (2003–2015, top), ISCCP (2003–2007, <bold>c, d</bold>) and
CALIPSO-GOCCP (2007–2008, <bold>e, f</bold>), the latter two from the GEWEX Cloud
Assessment database. White areas correspond to no data.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f09.png"/>

        </fig>

      <p>Finally, Fig. 5 presents normalized frequency distributions of
<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using both sets of ancillary data, and
<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, whenever clouds are detected (excluding subvisible
cirrus; see Sect. 2.4). The CALIPSO <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> distributions have a
slightly larger part of high-level clouds, especially in the tropics, and the
AIRS <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distributions show a slightly larger part of low-level
clouds over land. The latter disappear if one considers only cases with all
three CALIPSO samples cloudy within an AIRS golf ball. Thus these low-level
clouds are part of partly cloudy fields for which it is difficult to compare
results from samples of very different spatial resolution. The distributions
compare better when only mostly covered cloud fields are considered (three
CALIPSO samples cloudy within an AIRS golf ball). In the tropics, the peak of
the AIRS <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distributions for high-level clouds is still
slightly broader towards lower heights than for CALIPSO (not shown).
Additional filtering, excluding multi-layer clouds, ultimately leads to very
similar distributions, also presented in Fig. 5. A plausible interpretation
is that in cases of multiple cloud layers with the upper cloud layer not
fully covering the large AIRS footprint, instrument received radiation is
mixed from different cloud layers, and thus <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is slightly
lower than the one of the uppermost cloud layer. The distributions in the
midlatitudes still peak at slightly lower heights, because high-level clouds
in these latitudes are on average optically thicker (storm tracks) than in
the tropics. In these cases <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> lies below <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi mathvariant="normal">COD</mml:mi><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
as we have seen in Fig. 4. The choice of ancillary data influences only
mildly the <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> distributions, with a slightly larger
contribution of low-level clouds over land for ERA-Interim. This difference
disappears if we consider only mostly covered cloud fields, as the
contribution of low-level clouds strongly decreases over land. Over ocean,
the effect is much smaller. This indicates that low-level clouds over ocean
appear more often as stratus decks whereas those over land appear more
frequently as cumulus, as expected.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Average cloud properties and variability</title>
      <p>In this section we give a short overview of cloud properties of the AIRS-CIRS
and IASI-CIRS cloud climatologies. Monthly L3 data, gridded at a spatial
resolution of 1<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M246" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude, have been
produced in the same manner as for the GEWEX Cloud Assessment database
(Stubenrauch et al., 2013): in a first step, cloud properties and their
uncertainties, deduced from the <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> method, were averaged per
observation time over 1<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M250" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude; in a second step, these were averaged per month. In addition to the
monthly averages, the database also includes histograms of the cloud
properties.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Averages of CA, CAHR, CAMR and CALR (in %) from AIRS-LMD
(2003–2009); AIRS-CIRS (2003–2015), using AIRS-NASA and ERA-Interim
ancillary data; and IASI-CIRS (2008–2015), using ERA-Interim ancillary
data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Latitude band</oasis:entry>  
         <oasis:entry colname="col2">CA (%)</oasis:entry>  
         <oasis:entry colname="col3">CAHR (%)</oasis:entry>  
         <oasis:entry colname="col4">CAMR (%)</oasis:entry>  
         <oasis:entry colname="col5">CALR (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Globe</oasis:entry>  
         <oasis:entry colname="col2">67; 67; 70; 67</oasis:entry>  
         <oasis:entry colname="col3">41; 41; 40; 40</oasis:entry>  
         <oasis:entry colname="col4">18; 19; 19; 20</oasis:entry>  
         <oasis:entry colname="col5">41; 40; 41; 40</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ocean</oasis:entry>  
         <oasis:entry colname="col2">72; 71; 74; 72</oasis:entry>  
         <oasis:entry colname="col3">38; 38; 37; 37</oasis:entry>  
         <oasis:entry colname="col4">16; 16; 17; 18</oasis:entry>  
         <oasis:entry colname="col5">47; 45; 46; 44</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Land</oasis:entry>  
         <oasis:entry colname="col2">56; 57; 59; 56</oasis:entry>  
         <oasis:entry colname="col3">48; 49; 47; 47</oasis:entry>  
         <oasis:entry colname="col4">23; 25; 23; 23</oasis:entry>  
         <oasis:entry colname="col5">29; 27; 30; 30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">60–30<inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col2">69; 69; 72; 69</oasis:entry>  
         <oasis:entry colname="col3">40; 40; 40; 40</oasis:entry>  
         <oasis:entry colname="col4">22; 23; 22; 22</oasis:entry>  
         <oasis:entry colname="col5">38; 37; 38; 38</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–15<inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">67; 63; 66; 62</oasis:entry>  
         <oasis:entry colname="col3">59; 58; 57; 58</oasis:entry>  
         <oasis:entry colname="col4">11; 10; 10; 11</oasis:entry>  
         <oasis:entry colname="col5">30; 32; 33; 31</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">30–60<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">80; 84; 85; 85</oasis:entry>  
         <oasis:entry colname="col3">28; 30; 30; 29</oasis:entry>  
         <oasis:entry colname="col4">21; 23; 22; 23</oasis:entry>  
         <oasis:entry colname="col5">51; 47; 48; 48</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Figure 6 compares normalized frequency distributions of <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (CP)
over 30<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> wide latitude bands during boreal winter and boreal summer,
separately over land and over ocean. As one can see, the AIRS and IASI CP
distributions are very similar. Their relative contribution of high-level
clouds is slightly larger over land than over ocean, especially in the
tropics, while the contribution of low-level clouds is larger over ocean.
Considering seasonality, the strongest signature is the shift of the
Intertropical Convergence Zone (ITCZ) towards the summer hemisphere,
manifested by a large amount of high-level clouds (from cirrus anvils),
especially over land.</p>
      <p>Figure 7 presents global averages of total CA and relative
contributions of high-level, mid-level and low-level clouds, determined by
dividing these cloud amounts (CAH, CAM, CAL) by CA. The sum of the relative
contributions, CAHR, CAMR and CALR is equal to 1. Relative CA
values give an indication of how the detected clouds are vertically
distributed in the atmosphere, when observed from above. Global averages of
AIRS-CIRS and IASI-CIRS are compared with those from selected cloud
climatologies of the GEWEX Cloud Assessment database: the International
Satellite Cloud Climatology Project (ISCCP; Rossow and Schiffer, 1999), two
cloud climatologies derived from observations of the Moderate Resolution
Imaging Spectroradiometer (MODIS) aboard the Aqua satellite, by the MODIS
Science Team (MODIS-ST; Frey et al., 2008) and by the MODIS CERES Science
Team (MODIS-CE; Minnis et al., 2011), and two cloud climatologies derived
from CALIPSO observations, by the CALIPSO Science Team (CALIPSO-ST;
Winker et al., 2009) and by the GCM-Oriented CALIPSO Cloud Products
(CALIPSO-GOCCP; Chepfer et al., 2010). The latter two use vertical
averaging (CALIPSO-GOCCP) and horizontal averaging (CALIPSO-ST) to reduce the
noise of the relatively small samples. The latter is more sensitive to thin
layers of subvisible cirrus. ISCCP is essentially using two atmospheric
window channels (IR and VIS, the latter only during daytime). Considering
passive remote sensing, total CA from the GEWEX Cloud Assessment
database is about 0.68 <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 (Stubenrauch et al., 2013), while
CALIPSO-ST provides a CA of 0.73 because it includes subvisible
cirrus.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Averages of relative amount (in %) of opaque
(<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.95), cirrus
(0.95 &gt; <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.5) and thin
cirrus (0.5 &gt; <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.1)
from AIRS-CIRS (2003–2015), using AIRS-NASA and ERA-Interim ancillary data; and
IASI-CIRS (2008–2015), using ERA-Interim ancillary data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Latitude band</oasis:entry>  
         <oasis:entry colname="col2">Opaque/total CA</oasis:entry>  
         <oasis:entry colname="col3">Cirrus/total CA</oasis:entry>  
         <oasis:entry colname="col4">Thin cirrus/total CA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Globe</oasis:entry>  
         <oasis:entry colname="col2">5.3; 5.0; 5.4</oasis:entry>  
         <oasis:entry colname="col3">21.7; 21.5; 20.9</oasis:entry>  
         <oasis:entry colname="col4">13.4; 13.0; 12.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ocean</oasis:entry>  
         <oasis:entry colname="col2">5.0; 4.5; 4.9</oasis:entry>  
         <oasis:entry colname="col3">20.0; 19.9; 19.2</oasis:entry>  
         <oasis:entry colname="col4">12.5; 12.0; 12.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Land</oasis:entry>  
         <oasis:entry colname="col2">6.1; 5.9; 6.6</oasis:entry>  
         <oasis:entry colname="col3">25.8; 25.3; 24.9</oasis:entry>  
         <oasis:entry colname="col4">15.6; 15.2; 14.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">60–30<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col2">5.4; 4.8; 5.4</oasis:entry>  
         <oasis:entry colname="col3">22.9; 23.5; 22.8</oasis:entry>  
         <oasis:entry colname="col4">11.1; 11.0; 10.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–15<inline-formula><mml:math id="M264" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">7.3; 7.0; 7.7</oasis:entry>  
         <oasis:entry colname="col3">28.2; 27.5; 26.8</oasis:entry>  
         <oasis:entry colname="col4">21.6; 21.3; 22.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">30–60<inline-formula><mml:math id="M265" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col2">4.8; 4.2; 4.4</oasis:entry>  
         <oasis:entry colname="col3">17.5; 18.9; 18.1</oasis:entry>  
         <oasis:entry colname="col4">6.9; 6.6; 5.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>We separately examine daytime and nighttime observations. While all data sets
agree quite well on CA, with ISCCP and MODIS-CE providing smaller CA during
night (both including VIS information for cloud detection during daytime),
CAHR exhibits a large spread due to different sensitivity to thin cirrus:
active lidar is the most sensitive, followed by IR sounders. The CIRS results
are very similar to the results from the AIRS-LMD cloud climatology
(Stubenrauch et al., 2010). The choice of ancillary data only slightly
affects CA at night. IASI-CIRS and AIRS-CIRS results are also very similar,
day and night. They present global averages of CA around 0.67–0.70, formed
by 40 % high-level, 20 % mid-level and 40 % low-level uppermost
clouds. This is in excellent agreement with the results from CALIPSO. The
slightly smaller value in CALIPSO CAMR (14 % instead of 20 %) is due
to the different distinction between high-level and mid-level clouds: CALIPSO
uses cloud top height, whereas AIRS and IASI use a cloud height
about 1 km lower than the top (Sect. 3.2). When combining VIS and IR
information in the retrieval, thin cirrus above low-level clouds tend to be
misidentified as mid-level clouds (ISCCP) or as low-level clouds (MODIS),
leading to a not-negligible underestimation of CAHR (30 % instead of
40 %). At night, when only the IR channel is available, ISCCP
underestimates the height of all semi-transparent high-level clouds, so that
CAHR drops to 15 %. When IR spectral information is available, as for IR
sounders and MODIS, results are similar to those during daytime.</p>
      <p>Differences between ocean and land, also presented in Fig. 7, correspond to
about 0.15 in CA, with about 20 % more low-level clouds over ocean and
about 10 % more high-level and mid-level clouds over land. The CIRS
retrievals provide similar values during day and night. It is interesting to
note that during daytime the difference in CA shows a larger spread between
the data sets, while at night the spread is larger for CALR. At night,
low-level clouds are more difficult to detect, especially over land.</p>
      <p>Table 2 summarizes averages of these cloud amounts over the whole globe, over
ocean and over land, also contrasting NH and Southern Hemisphere (SH)
midlatitudes (30–60<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and tropics (15<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–15<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S).
The largest fraction of high-level clouds is situated in the tropics, while
the largest fraction of single-layer low-level clouds in the SH midlatitudes.
Only about 10 % of all clouds in the tropics are single-layer mid-level
clouds, compared to about 22 % in the midlatitudes. As already discussed
in Sects. 2.5 and 3.1, the uncertainty due to ancillary data in CA, as well
as in CALR, is largest over land (about 5 and 10 %, respectively)
because low-level clouds are underestimated with AIRS-NASA ancillary data
during night and with ERA-Interim ancillary data in the afternoon.
Uncertainties are much smaller for high-level clouds. Considering further
three distinct high-level cloud classes, opaque, thick cirrus and thin cirrus
(Sect. 2.5), high-level opaque clouds only represent about 5.2 % of all
clouds, while relative cloud amounts of thick cirrus and thin cirrus are
about 21.5 and 13 %. Maximum values are observed in the tropics: 7.5,
27.5 and 21.5 %, respectively (Table 3). The independent use of
<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> enabled us to build a
climatology of UT cloud systems, using
<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to distinguish convective core, cirrus anvil and
thin cirrus of these systems. These data have revealed for the first time
that the <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> structure of tropical anvils is related
to the convective depth (Protopapadaki et al., 2017).</p>
      <p>Figure 8 presents zonal averages of CA, CAH and CAL as well as effective
CA for total (CAE) high-level (CAEH) and low-level (CAEL) clouds
for the three CIRS climatologies (AIRS, using two sets of ancillary data, and
IASI) and the prior AIRS-LMD cloud climatology. Effective CA
corresponds to the CA weighted by cloud emissivity. It therefore
includes the IR radiative effect of the detected clouds. In general, CAE is
about 0.2 smaller than CA. Maximum CAH and CAEH appear in the ITCZ, while
maximum CAL and CAEL is found in the SH midlatitudes. The results of all CIRS
climatologies are very similar, with AIRS-CIRS using AIRS-NASA ancillary data
presenting slightly more high-level clouds and fewer low-level clouds around
60<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and slightly fewer CA and CAL in the NH polar region.</p>
      <p>Figure 9 presents geographical maps of annual CAH and CAL. We compare
AIRS-CIRS, ISCCP and CALIPSO-GOCCP, the latter two from the GEWEX Cloud
Assessment database. In all data sets the most prominent feature in CAH is
the ITCZ. However, due to the better sensitivity to cirrus, the absolute
values are more pronounced for AIRS-CIRS (IASI-CIRS, not shown) and
CALIPSO-GOCCP than for ISCCP. Due to the narrow nadir track of CALIPSO and
the reduced statistics of CALIPSO-GOCCP in the present GEWEX Cloud Assessment
database, these data look noisier than AIRS-CIRS and ISCCP. Considering CAL,
AIRS-CIRS captures well the stratocumulus regions off the west coasts of the
continents and stratus decks in the subtropical subsidence regions in winter,
even if this type of cloud is easier to detect by using instruments including
VIS channels (during daytime, ISCCP) or active instruments (CALIPSO-GOCCP).</p>
      <p>Time series of deseasonalized anomalies in global monthly mean CA, CAEH and
CAEL of the three CIRS data sets are shown in Fig. 10 over the time period of
2004–2016 for AIRS and 2008–2016 for IASI. To illustrate the effect of the
calibration accounting for changes in atmospheric CO<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration
(Sect. 2.5.2), the time series of the AIRS-CIRS CA anomalies, without this
correction, is added. Whereas the uncorrected CA anomalies increase by about
0.040 within a decade, the magnitude of the calibrated CA and CAEL variations
lie within 0.010 and of CAEH within 0.005, being mostly stable within the
uncertainty range.</p>
      <p>Latitudinal seasonal cycles of CA, CAH, CAL and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (CT) from
the different data sets agree in general quite well (Fig. S4 of the
Supplement). The most prominent features of the latitudinal seasonal cycles
are (i) the shift of the ITCZ towards the summer hemisphere, seen as an
amplitude of 0.1 in CA, 0.3 in CAH and 16 K in CT in the SH and NH tropical
bands (mostly over land, not shown) and (ii) fewer clouds in late summer in
the midlatitudes (mostly over ocean and stronger in NH, not shown). The
seasonal cycle of CT is largest in the polar regions (coherent for all data
sets) and smallest in SH midlatitudes, with amplitudes ranging from 20 to
10 K. However, while the CT amplitude is linked to change in cloud height at
low latitudes, it is more related to change in atmospheric temperature (and
corresponding CT) at higher latitudes.</p>
</sec>
<sec id="Ch1.S5">
  <title>Applications</title>
      <p>After having demonstrated the reliability of the CIRS cloud climatologies in
Sects. 3 and 4, we present analyses on UT cloud
variability with respect to changes in atmospheric conditions. These
illustrate the added value of the CIRS cloud data for climate studies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Time anomalies of deseasonalized CA, CAEH and CAEL over the globe.
In the case of CA, additional values are shown without calibration of
spectral atmospheric transmissivities for changes in atmospheric CO<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Seasonal cycle/annual average of <bold>(a)</bold> CAH differences between NH (0–60<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and SH  (0–60<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S),
<bold>(b)</bold> ITCZ peak latitude, <bold>(c)</bold> maximum CAH within ITCZ and <bold>(d)</bold> width of ITCZ.</p></caption>
        <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f11.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Geographical maps of linear regression slopes between monthly mean
anomalies in amount of Cb (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.95;
<bold>a–c</bold>), Ci
(0.95 &gt; <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.4;
<bold>b, d, h</bold>) and thin Ci (0.4 &gt; <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.1; <bold>g–i</bold>) from
AIRS-CIRS and global mean surface temperature anomalies from ERA-Interim.
<bold>(a, d, g)</bold> <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 440 hPa; <bold>(d–f)</bold> relative cloud
amount;
<bold>(c, f, i)</bold> <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 330 hPa and relative cloud amount.
Results using 156 months during the period 2003–2015.</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13625/2017/acp-17-13625-2017-f12.png"/>

      </fig>

<sec id="Ch1.S5.SS1">
  <title>Hemispheric differences in UT clouds</title>
      <p>While the NH and the SH reflect the same amount of sunlight within
0.2 Wm<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Stephens et al., 2015), there is a small energy imbalance
between both hemispheres of our planet, with slightly more energy absorbed by
the SH (0.9 Wm<inline-formula><mml:math id="M285" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). This yields more frequent precipitation in the SH
and more intense precipitation in the NH (Stephens et al., 2016). The
latter might be linked to the characteristics of the ITCZ, a zone of strong
convection, which itself produces large cirrus anvils. As the size of these
anvils is on average positively related to convective strength (e. g.
Protopapadaki et al., 2017), we explore the annual mean and seasonal
hemispheric difference of high CA and try to relate it to the
characteristics of the ITCZ, such as its peak strength, the latitudinal
position of the peak and its width.</p>
      <p>The ITCZ characteristics have been determined by fitting a Gaussian around
the tropical peak of the latitudinal CAH distributions (Fig. 8), per month
and year. This yields the latitude of the peak position, the value of the
peak itself and the width of the tropical CAH distribution. From Fig. 11 we
deduce that the annual NH–SH difference in CAH is 0.05, with a pronounced
seasonal cycle of about 0.3 in amplitude. Results from the three CIRS cloud
climatologies (AIRS with two ancillary data sets and IASI), AIRS-LMD,
CALIPSO-GOCCP, ISCCP and MODIS-CE are similar. This seasonal cycle is well
related to the one of the ITCZ peak latitude, which moves up to
12<inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in July. It is interesting to note that the width of the ITCZ
is smaller in July and August (10.5–12.5<inline-formula><mml:math id="M287" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) than in January (17<inline-formula><mml:math id="M288" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)
and the CAH peak is about 10 % larger in August than in January. This
might suggest a more intense ITCZ (and hence more intense precipitation) when
it is located in the NH than when it is located in the SH.</p>
      <p>All data sets agree well on the ITCZ peak latitude. The smaller maximum CAH
values of MODIS-CE and ISCCP are due to smaller sensitivity to thin cirrus,
and the reduced seasonal cycle of maximum CAH and of ITCZ width for
CALIPSO-GOCCP is due to the inclusion of ubiquitous thinner cirrus, leading
to less-well-pronounced CAH minima in the subtropics. The CIRS climatologies
reveal the seasonal behaviour of the ITCZ characteristics clearly. Figure 11
confirms and extends the interpretation of the results of Stephens et al. (2016)
by displaying a relation between the hemispheric difference of CAH and
characteristics of the ITCZ, which seems to be more intense when its peak is
situated in the NH (smaller width and larger maximum).</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Relating surface temperature anomalies to changes in UT clouds</title>
      <p>Since the observational period of AIRS and IASI is too short to directly
study long-term cloud variability related to climate warming, an alternative
approach is to analyse cloud variability in response to interannual climate
variability. Though interannual global mean surface temperature anomalies
might not directly relate to patterns of anthropogenic climate warming, Zhou
et al. (2015) have shown that interannual cloud feedback may be used to
directly constrain the long-term cloud feedback. Changes in tropical UT
clouds lead to variations in atmospheric heating and cooling, which then may
influence the large-scale circulation, as has already been shown by Slingo
and Slingo (1991).</p>
      <p>Since the radiative effects of high opaque clouds and thin cirrus are quite
different, we investigate the geographical patterns of UT cloud amount
anomalies with respect to tropical and global mean surface temperature
anomalies, by separating them into opaque, cirrus and thin cirrus
(<inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &gt; 0.95, 0.4–0.95 and
&lt; 0.4, corresponding to visible COD &gt; 6, 1–6 and
&lt; 1, respectively). By making use of the whole period between 2003
and 2015 (covering 156 months), we estimate a change in UT cloud amount as a
function of change in mean surface temperature by a linear regression of
their deseasonalized monthly anomalies, at a spatial resolution of 1<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
latitude <inline-formula><mml:math id="M291" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude. Similar techniques were already
utilized in other studies related to El Niño–Southern
Oscillation (ENSO) and cloud feedback (e.g. Lloyd et al., 2012; Zhou et
al., 2013; Liu et al., 2017). Figure 12 presents the change in amount of
high opaque cloud (mostly of convective origin), in thick cirrus (often
formed from convective outflow as anvils) and in thin cirrus (which might be
formed as anvil or via in situ freezing) per kelvin of global surface warming,
obtained as the linear slopes of these deseasonalized monthly anomaly
relationships. The cloud amounts are from AIRS-CIRS, while the surface
temperatures are from the ERA-Interim ancillary data. Results are very
similar when using <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies from AIRS-NASA (not shown).
Zhou et al. (2013) have shown that ERA-Interim <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies
give similar results in their short-term cloud feedback analysis compared to
other <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data sets. In our study, we concentrate on the change
of UT clouds of different height (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 440 hPa and
<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 330 hPa), and we compare changes in absolute UT
cloud amounts and in UT cloud amounts relative to total cloud amount. The
geographical patterns of the relative slope uncertainty are shown in Fig. S5
in the Supplement. In general, large changes in cloud amount per K of
warming have smaller uncertainty than small ones, indicating robust patterns.</p>
      <p>During this period, global mean <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies and tropical mean
<inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies are strongly correlated (not shown), and the
spatial patterns in Fig. 12 are compatible with ENSO-like patterns. The left
panels of Fig. 12 agree quite well with Fig. 8 of Liu et al. (2017), based
on MODIS cloud amount and HadCRUT4 <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies, even though
our cloud types categories differ slightly. In particular, we have separated
thin cirrus. Therefore the analyses suggest that the change patterns address
ENSO variability rather than long-term trends. When considering relative
cloud type changes (middle panels in Fig. 12), the signals are stronger. An
interesting feature appears when considering changes in the relative amounts
of higher clouds (<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 330 hPa, left panels of
Fig. 12): while the high opaque clouds, linked to strong precipitation
(Protopapadaki et al., 2017), relative to all clouds, increase in a narrow
band in the tropics, there is a large increase in relative thin cirrus amount
around these regions; the latter might directly affect the atmospheric
circulation through their radiative heating (e.g. Sohn, 1999; Lebsock et
al., 2010).</p>
      <p>As in Liu et al. (2017), we have also examined linear regression slopes
from anomaly averages over the tropics and other latitudinal bands. Although
in general the relationships are very noisy, on the interannual scale
tropical cirrus amount slightly decreases with warming
(<inline-formula><mml:math id="M302" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.76 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21 % K<inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), while thin cirrus amount seems not
affected (<inline-formula><mml:math id="M305" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09 <inline-formula><mml:math id="M306" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20 % K<inline-formula><mml:math id="M307" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), in agreement with Liu et
al. (2017). However, when considering changes in tropical cirrus and thin
cirrus amount relative to total cloud amount, at higher altitude
(<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 330 hPa), both increase with warming
(1.87 <inline-formula><mml:math id="M309" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.52 and 1.70 <inline-formula><mml:math id="M310" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.54 % K<inline-formula><mml:math id="M311" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
which means that these clouds are more frequent among all clouds when
<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gets warmer.</p>
      <p>Even though the changes in mean <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are mostly linked to
interannual variability over the studied period and it is still uncertain how
to relate these to long-term patterns due to anthropogenic climate warming,
it is very interesting to note that changes in amounts of high opaque clouds
and thin cirrus, relative to all clouds, show very different geographical
patterns. To get a better understanding on the underlying feedback processes
one has to consider the heating rates of these UT cloud systems and link them
to the dynamics, which is foreseen in future work.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We have presented two global climatologies of cloud properties, built from
AIRS and IASI observations by the CIRS cloud retrieval. This retrieval
software package, developed at LMD, can be easily adapted to any IR sounder.
The retrieval method itself, based on a weighted <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> method on
radiances along the wing of the 15 <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m CO<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption band, and
a multi-spectral “a posteriori” cloud detection, based on the spectral
coherence of retrieved cloud emissivities, have been evaluated in previous
publications. In this study, we have further demonstrated the reliability of
these updated cloud climatologies. IR sounders are especially advantageous to
retrieve UT cloud properties, as they reliably determine
cirrus properties down to an IR optical depth of 0.1, day and night. The CIRS
retrieval uses improved radiative transfer modelling, employs the latest
ancillary data (surface temperature, atmospheric profiles) and accounts for
atmospheric spectral transmissivity changes associated with latitudinal,
seasonal and interannual atmospheric CO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration variations. The
latter eliminates an artificial CA trend of about 4 % over the
observation period of 2004 to 2016: The magnitude of cloud amount and effective
low-level cloud amount deseasonalized variations lies within 1 % and that of
effective high-level cloud amount lies within 0.5 % over this period.</p>
      <p>Ancillary data from the meteorological reanalyses ERA-Interim have been
interpolated to the observation times of AIRS and IASI. Additional ancillary
data, established from NASA AIRS retrievals, permitted us to iteratively make
adjustments to both sets of ancillary data for optimal results in cloud
properties and to estimate uncertainties in cloud amounts. Since the cloud
detection depends on the coherence of spectral cloud emissivity, the surface
temperature influences only slightly the cloud amount (in particular the one
of low-level clouds). AIRS total cloud amount is 70 % (67 %),
high-level cloud amount is 27 % (27 %) and low-level cloud amount
is 29 % (27 %), using ERA-Interim (AIRS-NASA) ancillary data. This
corresponds to uncertainty estimates of 5 % and 10 % on global
averages of CA and CAL, respectively. Uncertainties are larger over land and
ice or snow than over ocean, in particular because <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of
ERA-Interim is underestimated in the afternoon and <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of
AIRS-NASA is underestimated during night due to cloud contamination. In the
future, the CIRS cloud retrieval might use ancillary data from the new ECMWF
meteorological reanalysis ERA5, with a better temporal and spatial
resolution.</p>
      <p>Cloud detection hit rates between AIRS-CIRS and CALIPSO–CloudSat are 84 %
(85 %) over ocean, 82 % (79 %) over land and 70 % (73 %)
over ice and snow for ERA-Interim (AIRS-NASA) ancillary data. Typical
<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> uncertainties range from 30 hPa for high-level clouds to
120 hPa for low-level clouds, which corresponds to about 1.2 km. A
comparison with CALIPSO–CloudSat shows that on average the CIRS retrieved
cloud height is close to cloud top in the case of low-level clouds and lies
about 1 km below cloud top in the case of high-level clouds. The latter
leads to retrieved cloud temperatures which are about 10 K warmer than the
cloud top. This has to be considered when determining radiative effects or
when evaluating climate models. The CIRS retrieved cloud height can be
approximated by the mean layer height (for optically thin clouds) or the mean
between cloud top and the height at which the cloud reaches opacity, for both
high-level and low-level clouds. While for low-level clouds this vertical
distance is about 0.5 km, for high-level clouds it slightly increases with
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 0.7 to 1.5 km, with slightly larger values
in the tropics than in the midlatitudes, linked to diffusive cloud tops.</p>
      <p>Total cloud amount is partitioned into about 40 % high-level clouds,
40 % low-level clouds and 20 % mid-level clouds. The latter two
categories are only detected in the absence of upper clouds. UT clouds are most abundant in the tropics, where high opaque
clouds make up 7.5 %, thick cirrus 27.5 % and thin cirrus 21.5 %
of all clouds. IASI values are very similar. The most prominent feature of
latitudinal seasonal cycles is the shift of the ITCZ towards the summer
hemisphere, seen as an amplitude signal of 0.1 in CA, 0.3 in CAH and 16 K
in CT in the SH and NH tropical bands (and even stronger over land).</p>
      <p>The 5 % annual mean excess in UT cloud amount in the
NH compared to the SH has a pronounced seasonal cycle
with a maximum of 25 % in boreal summer have been related to the
characteristics of the ITCZ. The annual mean ITCZ peak latitude lies about
5<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N with a maximum of 10<inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in boreal summer. At that time
the ITCZ width is also narrower and the peak slightly larger. This suggests
that the NH–SH excess in CAH is mostly determined by the position of the
ITCZ.</p>
      <p>To illustrate the added value of the CIRS cloud data for climate studies, we
have finally presented geographical patterns in changes of amount of high
opaque, cirrus and thin cirrus with respect to global mean <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
changes. These are in agreement with earlier studies, while an examination of
changes in tropical high cirrus and thin cirrus amounts relative to total
cloud amount revealed that these are more frequent among all clouds when
<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gets warmer. Even though the change in mean
<inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">surf</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is mostly linked to ENSO variability over the studied
period and it is still uncertain how to relate these to long-term patterns
due to anthropogenic climate warming, the large difference in geographical
patterns in changes of amounts of high opaque clouds and thin cirrus,
relative to total cloud amount, indicates that their response to climate
change may be different. This might then have consequences on the atmospheric
circulation. To get a better understanding on the underlying feedback
processes, one has to consider the heating rates of these UT
cloud systems and link them to the dynamics. Therefore the AIRS-CIRS and
IASI-CIRS cloud data have been further used to build UT cloud
systems (based on <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and then to distinguish convective cores,
cirrus anvil and thin cirrus according to <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cld</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(Protopapadaki et al., 2017). These data are being further exploited,
together with other data and modelling on different scales, within the
framework of the GEWEX Process Evaluation Study on Upper Tropospheric Clouds
and Convection (UTCC PROES; Stubenrauch and Stephens, 2017) to advance our
understanding on UT cloud feedbacks.</p>
      <p>The AIRS-CIRS and IASI-CIRS cloud climatologies will be made available at
the French data centre AERIS, which also will continue their production.</p>
</sec>

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

      <p>AIRS L1 data are available at
<uri>https://mirador.gsfc.nasa.gov/</uri> (AIRS Science Team/Chahine, 2007). The
NASA Science Team L2 standard products (version 6; AIRS Science Team/Texeira,
2013) are available at <uri>https://mirador.gsfc.nasa.gov/</uri>. IASI L1 data are
available at the French Data Centre AERIS.  The ARSA database can be
obtained at <uri>http://ara.abct.lmd.polytechnique.fr/index.php?page=arsa</uri>.
The operational version of the 4A radiative transfer model (Scott and
Chédin, 1981) is available at <uri>http://4aop.noveltis.com/</uri>. The cloud
climatologies of the GEWEX Cloud Assessment database are available at
<uri>http://climserv.ipsl.polytechnique.fr/gewexca/</uri>. The AIRS-CIRS and
IASI-CIRS cloud climatologies will be made available by the French Data
Centre AERIS.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-17-13625-2017-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-17-13625-2017-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>This work has been financially supported by CNRS, by the ESA Cloud_cci
project (contract no. 4000109870/13/I-NB) and by CNES. The authors thank the
members of the IASI, AIRS, CALIPSO and CloudSat science teams for their
efforts and cooperation in providing the data as well as the engineers and
space agencies who control the data quality. We thank the Aeris data
infrastructure for providing access to the data used in this study and for
continuing the data production. We also thank Filipe Aires for providing the
surface emissivity climatology built from IASI. In addition, we thank two
anonymous referees for their thoughtful comments, which improved the quality
of the manuscript.<?xmltex \hack{\\\\}?> Edited by: Stefan Buehler<?xmltex \hack{\\}?> Reviewed by:
two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Cloud climatologies from the infrared sounders AIRS and IASI: strengths and applications</article-title-html>
<abstract-html><p class="p">Global cloud climatologies have been built from 13 years of Atmospheric
Infrared Sounder (AIRS) and 8 years of Infrared Atmospheric Sounding
Interferometer (IASI) observations, using an updated Clouds from Infrared
Sounders (CIRS) retrieval. The CIRS software can handle any infrared (IR)
sounder data. Compared to the original retrieval, it uses improved radiative
transfer modelling, accounts for atmospheric spectral transmissivity changes
associated with CO<sub>2</sub> concentration and incorporates the latest ancillary
data (atmospheric profiles, surface temperature and emissivities). The global
cloud amount is estimated to be 0.67–0.70, for clouds with IR optical depth
larger than about 0.1. The spread of 0.03 is associated with ancillary data.
Cloud amount is partitioned into about 40 % high-level clouds, 40 %
low-level clouds and 20 % mid-level clouds. The latter two categories are
only detected in the absence of upper clouds. The A-Train active instruments,
lidar and radar of the CALIPSO and CloudSat missions, provide a unique
opportunity to evaluate the retrieved AIRS cloud properties. CIRS cloud
height can be approximated either by the mean layer height (for optically
thin clouds) or by the mean between cloud top and the height at which the
cloud reaches opacity. This is valid for high-level as well as for low-level
clouds identified by CIRS. IR sounders are particularly advantageous to
retrieve upper-tropospheric cloud properties, with a reliable cirrus
identification, day and night. These clouds are most abundant in the tropics,
where high opaque clouds make up 7.5 %, thick cirrus 27.5 % and thin
cirrus about 21.5 % of all clouds. The 5 % annual mean excess in
high-level cloud amount in the Northern compared to the Southern Hemisphere
has a pronounced seasonal cycle with a maximum of 25 % in boreal summer,
in accordance with the moving of the ITCZ peak latitude, with annual mean of
4° N, to a maximum of 12° N. This suggests that this excess
is mainly determined by the position of the ITCZ. Considering interannual
variability, tropical cirrus are more frequent relative to all clouds when
the global (or tropical) mean surface gets warmer. Changes in relative amount
of tropical high opaque and thin cirrus with respect to mean surface
temperature show different geographical patterns, suggesting that their
response to climate change might differ.</p></abstract-html>
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