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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-9-1785-2016</article-id><title-group><article-title>Uncertainties in cloud phase and optical thickness retrievals from the Earth
Polychromatic Imaging Camera (EPIC)</article-title>
      </title-group><?xmltex \runningtitle{Earth Polychromatic Imaging Camera}?><?xmltex \runningauthor{K.~Meyer et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Meyer</surname><given-names>Kerry</given-names></name>
          <email>kerry.meyer@nasa.gov</email>
        <ext-link>https://orcid.org/0000-0001-5361-9200</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yang</surname><given-names>Yuekui</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1630-272X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Platnick</surname><given-names>Steven</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3964-3567</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Goddard Earth Sciences Technology and Research (GESTAR), Universities
Space Research Association, <?xmltex \hack{\break}?>Columbia, Maryland, MD 21046, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>NASA Goddard Space Flight Center, Greenbelt, Maryland, MD 20771, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Kerry Meyer (kerry.meyer@nasa.gov)</corresp></author-notes><pub-date><day>26</day><month>April</month><year>2016</year></pub-date>
      
      <volume>9</volume>
      <issue>4</issue>
      <fpage>1785</fpage><lpage>1797</lpage>
      <history>
        <date date-type="received"><day>8</day><month>January</month><year>2016</year></date>
           <date date-type="rev-request"><day>25</day><month>January</month><year>2016</year></date>
           <date date-type="rev-recd"><day>12</day><month>April</month><year>2016</year></date>
           <date date-type="accepted"><day>14</day><month>April</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016.html">This article is available from https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016.pdf</self-uri>


      <abstract>
    <p>This paper presents an investigation of the expected uncertainties of a single-channel
cloud optical thickness (COT) retrieval technique, as well as a simple
cloud-temperature-threshold-based thermodynamic phase approach, in support of the
Deep Space Climate Observatory (DSCOVR) mission. DSCOVR cloud products will
be derived from Earth Polychromatic Imaging Camera (EPIC) observations in the
ultraviolet and visible spectra. Since EPIC is not equipped with a spectral
channel in the shortwave or mid-wave infrared that is sensitive to cloud
effective radius (CER), COT will be inferred from a single visible channel
with the assumption of appropriate CER values for liquid and ice phase
clouds. One month of Aqua MODerate-resolution Imaging Spectroradiometer
(MODIS) daytime granules from April 2005 is selected
for investigating cloud phase sensitivity, and a subset of these granules
that has similar EPIC Sun-view geometry is selected for investigating COT
uncertainties. EPIC COT retrievals are simulated with the same algorithm as
the operational MODIS cloud products (MOD06), except using fixed
phase-dependent CER values. Uncertainty estimates are derived by comparing
the single-channel COT retrievals with the baseline bi-spectral MODIS
retrievals. Results show that a single-channel COT retrieval is feasible for
EPIC. For ice clouds, single-channel retrieval errors are minimal (&lt; 2 %) due to the particle size insensitivity of the assumed ice crystal
(i.e., severely roughened aggregate of hexagonal columns) scattering
properties at visible wavelengths, while for liquid clouds the error is
mostly limited to within 10 %, although for thin clouds (COT &lt; 2)
the error can be higher. Potential uncertainties in EPIC cloud masking and
cloud temperature retrievals are not considered in this study.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The Deep Space Climate Observatory (DSCOVR) satellite was launched on 11
February 2015 and in June 2015 began making observations of both the Earth
and the Sun from its Lissajous orbit about the Earth's L1 Lagrangian point,
a gravity-neutral position 1.5 million km from the Earth. The DSCOVR payload
includes two Earth-observing instruments, namely the Earth Polychromatic
Imaging Camera (EPIC) and the National Institute of Standards and Technology (NIST)
Advanced Radiometer (NISTAR). At the L1 point, DSCOVR will remain
near the Sun–Earth line, viewing the entire sunlit half of the Earth
continuously at near-backscatter directions with scattering angles ranging
from roughly 164 to 176<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. NISTAR observes
the Earth as a single pixel and provides measurements of the solar
radiation reflected by the Earth, as well as the Earth's total radiant
power, in four broadband channels. EPIC, with its 2048 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2048 CCD
(charge-coupled device) array, provides higher-spatial-resolution details of
the daytime Earth that can be used to interpret the single-pixel NISTAR
data. Note that at the L1 point the CCD array resolution yields roughly 8 km
pixel sampling at the Earth's surface at nadir, though aggregating the
native radiances to coarser resolution (e.g., 1024 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1024) remains a
possibility.</p>
      <p>Numerous geophysical products will be derived from EPIC observations at 10
spectral channels ranging from the ultraviolet (UV) (317.5 nm) to the
near infrared (NIR) (779.5 nm) (Yang et al., 2013). These spectral channels
are sensitive to various atmospheric and surface components, and can provide
information on ozone, aerosol, cloud, and vegetation properties. The EPIC
cloud products will include cloud masking, cloud optical thickness (COT),
and cloud effective height. The EPIC cloud mask will adopt a threshold
method utilizing information from multiple spectral channels; cloud height
will be derived from the oxygen (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> A- and B-band observations (Yang
et al., 2013). While the cloud mask and cloud height products are critical
inputs for COT retrievals, this paper will focus solely on the EPIC cloud
phase and COT algorithm and its potential uncertainties.</p>
      <p>The EPIC COT product will be produced with the same core algorithms as those
used by the operational MODerate-resolution Imaging Spectroradiometer
(MODIS) cloud optical and microphysical property product (MOD06) (Platnick
et al., 2003, 2015) that is now part of a shared-core cloud
retrieval algorithm suite that has been applied to other spaceborne and
airborne imagers such as the Visible Infrared Imaging Radiometer Suite (VIIRS)
on board the polar-orbiting Suomi-NPP (National Polar-orbiting Partnership; Platnick et al., 2013), the
Spinning Enhanced Visible and InfraRed Imager (SEVIRI) on board EUMETSAT's
geostationary Meteosat (e.g., Hamman et al., 2014), and the Enhanced MODIS
Airborne Simulator (eMAS) flown on NASA's ER-2 high-altitude research
aircraft (e.g., King et al., 2010), among others. MOD06 provides cloud top
pressure, temperature, and height retrievals from the infrared (IR) window
and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-slicing techniques (Menzel et al., 2008; Baum et al., 2012), as
well as simultaneous retrievals of COT and cloud effective particle radius (CER)
using the well-known bi-spectral Nakajima and King (1990) method and
cloud phase retrievals using a variety of IR brightness temperature, cloud
top temperature, dual-phase CER, and spectral tests (Baum et al., 2012;
Marchant et al., 2016). The MOD06 two-channel COT-CER retrieval approach
couples a non-absorbing visible (VIS), NIR, or shortwave infrared (SWIR)
spectral channel sensitive to COT with an absorbing SWIR or mid-wave
infrared (MWIR) spectral channel sensitive to CER. However, because the EPIC
spectral channels do not extend to wavelengths longer than the NIR, COT
retrievals will be performed using a single-channel approach similar to that
of the International Satellite Cloud Climatology Project (ISCCP) (Rossow and
Schiffer, 1999) and the Multi-angle Imaging SpectroRadiometer (MISR) mission
(Marchand et al., 2010), both of which assume appropriate values for CER.</p>
      <p>A critical component of the COT retrieval process is determining the
radiatively appropriate cloud thermodynamic phase. For EPIC, cloud
thermodynamic phase will be inferred by imposing thresholds on cloud
temperature. Due to the lack of thermal IR spectral channels, specifically
those used for cloud altitude retrievals from either IR window or
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-slicing techniques, EPIC cloud temperature will instead be
converted from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> A-band cloud effective height retrievals utilizing
atmospheric profiles provided by the Goddard Earth Observing System Model,
Version 5 (GEOS-5) (Rienecker et al., 2011). Oxygen, like CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, is a
well-mixed gas, and reflectance measurements within the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> absorption
region have been previously exploited for estimates of cloud altitude (e.g.,
Heidinger and Stephens, 2000; Rozanov and Kokhanovsky, 2004; Kokhanovsky et
al., 2009). EPIC is equipped with two pairs of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> A-band (779.5 and 764
nm) and B-band (680 and 687.75 nm) reference and absorption channels that
will be used to retrieve cloud effective height (Yang et al., 2013), which
can then be converted to temperature and used to infer the cloud
thermodynamic phase.</p>
      <p>In this study, the expected EPIC COT retrieval uncertainties due to the
required assumption of a fixed CER value will be estimated, in addition to
the sensitivity of cloud thermodynamic phase retrievals to temperature
thresholds. Moreover, the impact of EPIC's coarse spatial resolution,
compared to the higher-resolution polar-orbiting instruments such as MODIS
(1 km resolution at nadir), on both cloud phase and COT retrievals and
statistics will be explored. Proxy EPIC single-channel COT retrievals are
obtained by running MOD06, assuming a fixed phase-dependent CER, on a subset
of Aqua MODIS granules selected for its angular proximity to the backscatter
region; expected COT errors are found via direct comparison with MOD06-like
two-channel COT-CER retrievals. Cloud phase sensitivity is determined via
adjustments to the cloud temperature threshold tests used for phase
assignment. It should be noted that the error estimates provided here are
intended to demonstrate whether a single-channel COT retrieval will be
feasible for EPIC. Furthermore, this study does not consider potential
errors from sources such as cloud masking and cloud height retrievals, nor
does it include 3-D radiative transfer effects and sub-pixel cloud
heterogeneity, though these error sources are expected to be substantial due
to the large EPIC field of view (FOV) (e.g., Davis et al., 1997).</p>
</sec>
<sec id="Ch1.S2">
  <title>EPIC COT retrieval algorithm description</title>
      <p>The planned operational EPIC COT product will leverage a shared-core cloud
retrieval algorithm suite that includes MOD06 (Platnick et al., 2003). The
shared-core concept provides consistency in retrieval methodology, ancillary
data sets, etc., across multiple spaceborne and airborne instrument
platforms. Numerous enhancements to this retrieval suite were made for the
recent MOD06 Collection 6 (C6) reprocessing effort (Platnick et al., 2015)
and will thus be included in the EPIC retrievals. C6 enhancements relevant
to EPIC include new bulk ice cloud radiative models (Yang et al., 2013),
improved characterization of surface reflectance for ocean (Cox and Munk,
1954a, b) and land (Schaaf et al., 2011), new cloud radiative transfer (RT)
look-up tables (LUTs), and improved handling of ancillary data
sets.<?xmltex \hack{\newpage}?></p>
      <p>In addition, the C6 cloud optical property retrieval algorithm now processes
and reports retrievals of pixels that are identified as being only partially
cloud covered and are thus likely to deviate from the 1-D homogeneous
plane-parallel assumption. These “partly cloudy” (PCL) pixels, retrievals
of which are reported separate from the “overcast” pixels, are expected to
be poor retrieval candidates and are generally associated with higher
retrieval uncertainty and, for MODIS, increased rates of retrieval failure
(i.e., the reflectance measurements lie outside the defined LUT solution
space) (Cho et al., 2015). Identification of these PCL pixels is
accomplished via a clear-sky restoral (CSR) algorithm (e.g., Zhang and
Platnick, 2011; Pincus et al., 2012) that for MODIS uses sub-pixel cloud
reflectance variability and cloud edge detection tests. For EPIC the cloud
edge detection test will be applied, though the application of the sub-pixel
spatial variability test depends on the availability of full-CCD-resolution
observations in at least one spectral channel. Because the EPIC pixel size
is much larger than that of polar-orbiting imagers such as MODIS and VIIRS,
PCL pixels are expected to represent a larger fraction of the cloudy pixel
population (Dey et al., 2008). Thus identifying these pixels is of increased
importance, specifically as a means of assessing the quality of the optical
property retrievals.</p>
      <p>Since the EPIC channel set is limited compared to that of MODIS, there are
important differences between the EPIC retrieval algorithm and its MOD06
counterpart. These include the use of a single channel, 680 nm, for COT
retrievals with the assumption of fixed phase-dependent CER values due to
EPIC's lack of absorbing spectral channels in the SWIR or MWIR that are
sensitive to cloud particle size; note that, as is common practice, the EPIC
COT retrievals, as well as all COT retrievals referred to here, are
referenced to the visible 0.66 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m wavelength. Since COT can be
dependent on CER, in particular where the bi-spectral COT-CER retrieval
solution space is non-orthogonal such as at small COT, single-channel COT
retrievals are thus prone to errors larger than those of the two-channel
COT-CER retrievals. The fixed CER values are derived from global MODIS
retrieval statistics (e.g., King et al., 2013) and are assumed to be
12 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for liquid and ice phase clouds, respectively.
The lack of key SWIR or MWIR channels, for which liquid and ice absorption
are known to differ (Kou et al., 1993), as well as IR channels sensitive to
cloud temperature/altitude, will also limit the available information
content for determining cloud thermodynamic phase, i.e., liquid water, ice,
or undetermined (i.e., ambiguous). Nevertheless, cloud phase can still be
inferred by applying a dual threshold on cloud temperature derived from the
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> A-band effective cloud height retrievals.</p>
      <p>All ancillary data sets for EPIC COT retrievals will be identical to what are
used by MOD06, with appropriate substitutes when necessary. These include
gap-filled land and snow/ice surface spectral albedos derived from MODIS
(Schaaf et al., 2011), Near-real-time Ice and Snow Extent (NISE) (Nolin et
al., 1998) data from the National Snow and Ice Data Center, and NCEP sea ice
concentration (Grumbine, 1996, and references therein). For the operational
EPIC retrievals, profiles of atmospheric temperature, pressure, water vapor,
and ozone, as well as surface wind velocity, will be obtained from NASA's
GEOS-5 model (Rienecker et al., 2011); for the present investigation,
however, these parameters will be obtained from the National Centers for
Environmental Prediction (NCEP) Global Data Assimilation System (GDAS)
6 h “Final Run” archive product (Derber et al., 1991) that is used in
the current C6 MOD06 retrievals. The forward-calculated COT retrieval
LUTs will be generated under assumptions and cloud models
identical to those of MOD06 using the 1-D plane-parallel DIScrete-Ordinates
Radiative Transfer (DISORT) method (Stamnes et al., 1988) ignoring
atmospheric gaseous absorption, which is corrected for during the retrieval
process; note that above-cloud Rayleigh scattering, expected to be
non-negligible at 680 nm, will also be accounted for during the retrieval
process on a pixel-by-pixel basis using the iterative technique of Wang and
King (1997), similar to MOD06. For the forward-calculated cloud retrieval
LUTs, the liquid cloud droplet size distribution is assumed to be gamma
distributed with effective variance of 0.1, with band-averaged scattering
properties obtained by integrating spectral Mie calculations over the
appropriate spectral response functions. Likewise, the ice crystal size
distribution is also assumed to be gamma distributed with effective variance
of 0.1, with band-averaged scattering properties integrated over the
spectral database of Yang et al. (2013); the ice clouds are assumed to be
composed only of severely roughened compact aggregates of eight solid
hexagonal columns (hereafter referred to as severely roughened aggregated
columns), an assumption shown to provide better retrieval closure between
solar-, IR-, and lidar-based retrievals of cirrus COT (Holz et al., 2015).
<?xmltex \hack{\vspace{-3mm}}?></p>
</sec>
<sec id="Ch1.S3">
  <title>Methodology of estimating EPIC cloud phase and COT retrieval errors</title>
      <p>To investigate the expected EPIC cloud thermodynamic phase sensitivity, 1
month of Aqua MODIS daytime granules is selected for the analysis, namely
April 2005. A subset of these granules that has angular coverage within the
backward scattering angle region (164 to
176<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) to be viewed by EPIC is selected for the COT
retrieval error analysis. The use of 1 month of data ensures that a
variety of liquid and ice phase cloudy scenes are included, with sufficient
sampling over both land and ocean surfaces. Figure 1 shows the geographic
distribution of the counts of April 2005 Aqua MODIS pixels having scattering
angles in the backscatter region (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> &gt; 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Geographic distribution of the April 2005 Aqua MODIS pixel subset
having scattering angles in the backscattering region (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> &gt; 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f01.pdf"/>

      </fig>

      <p>COT retrieval errors resulting from the fixed CER assumption are
characterized using two versions of the MOD06 algorithm applied to the Aqua
MODIS backscatter granule subset, specifically a baseline version providing
the full two-channel COT-CER retrievals and an EPIC proxy version assuming
the fixed CER values of 12 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for liquid and ice phase clouds,
respectively. To simulate the EPIC 680 nm channel, both MOD06 versions use
the 660 nm MODIS wavelength channel for COT retrievals.</p>
      <p>For this study, cloud phase is determined by applying thresholds to the
MOD06 1 km cloud top temperature (CTT) product; i.e., CTT <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 240 K is
assigned ice phase, CTT <inline-formula><mml:math display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 260 K is assigned liquid phase, and
240 K &lt; CTT &lt; 260 K is assigned undetermined, i.e., ambiguous,
phase; these thresholds are derived from a global analysis of the MODIS
cloud top temperature and CALIOP (Cloud-Aerosol Lidar with Orthogonal
Polarization) cloud phase products (Marchant et al., 2016). The error in
cloud phase derived from this simple threshold method is determined by
comparing with the operational MOD06 results for all April 2005 daytime
granules (i.e., no backscatter angle filtering is applied). The sensitivity
of this method to threshold selection is also investigated by perturbing the
above-defined 1 km CTT thresholds by discrete temperature changes of
increasing magnitude (e.g., <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, etc.) and
examining the resulting cloud phase fraction changes; each perturbation is
applied simultaneously to both thresholds. All COT and phase retrievals are
at the native 1 km MODIS resolution, with the exception of the retrievals
performed for the spatial resolution sensitivity analysis (Sect. 4.3), and
pixel-level cloud masking information is obtained from the operational MODIS
cloud mask product (MOD35) (Ackerman et al., 2010).</p>
      <p>Note that for the operational EPIC COT retrieval the above thresholds for
cloud thermodynamic phase determination will necessarily be adjusted. As
previously mentioned, the EPIC cloud temperature will be derived from the
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> A- and B-band effective cloud height retrievals. Unlike MOD06, for
which cloud top pressure is determined using information from either the IR
window or CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> channels (Menzel et al., 2008; Baum et al., 2012) that
are more sensitive to the top of the cloud, the EPIC effective cloud height
is more sensitive to the middle of the cloud (Yang et al., 2013). The
operational temperature thresholds for EPIC cloud thermodynamic phase will
be derived by collocating EPIC and MODIS observations, and using the MOD06
phase results as the baseline once the EPIC cloud height product is
available. We note again that this paper focuses on the uncertainties in COT
retrievals resulting from a fixed CER assumption and the uncertainties in
cloud thermodynamic phase determination using only cloud temperature
thresholds; uncertainties in cloud temperature due to effective height
retrieval errors are beyond the scope of this paper and are left for future
investigations.<?xmltex \hack{\vspace{-3mm}}?></p>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Cloud thermodynamic phase</title>
      <p>Because liquid and ice clouds have different radiative properties,
determining the appropriate thermodynamic phase of a cloudy pixel is an
important component of the EPIC cloud products. Figure 2 provides a case
study example of the impact to cloud phase determination due to using only
cloud temperature thresholds, as described in Sect. 3, versus using a
suite of spectral tests as implemented in MOD06. Here, cloud thermodynamic
phase results from the operational MOD06 cloud optical properties phase
product (c) and the proxy EPIC algorithm (d) that uses dual CTT thresholds
(Sect. 3) are shown for an Aqua MODIS granule obtained over the eastern
Pacific Ocean on 9 April 2005 (22:15 UTC). Note the MOD06 phase uses a variety
of IR brightness temperature, cloud top temperature, dual-phase CER, and
SWIR spectral tests (Baum et al., 2012; Platnick et al., 2015; Marchant et
al., 2016). It is evident that limiting the information content to cloud
temperature alone results in a significantly larger fraction of undetermined
phase results (yellow shades), pixels for which additional spectral
information can enhance the ability to discriminate between ice (light blue
shades) and liquid water (dark blue shades) phases.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Example Aqua MODIS granule obtained over the eastern Pacific Ocean
on 9 April 2005 (22:15 UTC); the RGB image and corresponding scattering angle
spatial distribution are shown in <bold>(a)</bold> and <bold>(b)</bold>, respectively. This granule
illustrates the cloud thermodynamic phase differences between the
operational MOD06 cloud optical properties algorithm <bold>(c)</bold> – which uses a
variety of SWIR, IR, and spectral CER tests – and an EPIC-style algorithm
<bold>(d)</bold> using only cloud temperature thresholds.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f02.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Monthly cloud thermodynamic phase skill table, from April 2005
Aqua MODIS, comparing the proxy EPIC algorithm results to those of MOD06.
Although EPIC's lack of information content for phase will likely yield a
larger fraction of undetermined phase results, an algorithm using only cloud
temperature thresholds nevertheless agrees with the multiple-test MOD06
algorithm for roughly 77 % of the global daytime cloudy pixels during this
month.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f03.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Gridded monthly cloud thermodynamic phase agreement fraction,
defined as the fraction of cloudy pixels for which the proxy EPIC algorithm
results agree with those from the multiple-test MOD06 algorithm, i.e., the
gridded sum of the diagonal of the skill table in Fig. 3.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>The expected sensitivity of the EPIC cloud thermodynamic phase
algorithm, based only on cloud temperature thresholds, to errors in cloud
temperature. Here monthly global cloud phase fractions – i.e., the fraction
of cloudy pixels determined to be liquid (red line), ice (blue line), and
undetermined (green line) phases – as a function of the CTT threshold
perturbation are plotted. Data are from Aqua MODIS, April 2005.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Sensitivity of cloud top 660 nm reflectance to CER, plotted as a
function of COT. Solid lines denote reflectance for the phase-dependent CER
assumptions for liquid (red, CER <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) and ice (blue,
CER <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) phase. Dotted lines denote <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of
reflectance assuming CER is uniformly distributed between 2 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for
liquid and 5–60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for ice.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f06.pdf"/>

        </fig>

      <p>This increase in undetermined phase results is also seen in monthly
statistics. Figure 3 shows a monthly cloud phase skill table comparing
pixel-level phase results from the proxy EPIC algorithm to those from the
MOD06 cloud optical property phase product. Data shown here are from all
daytime April 2005 Aqua MODIS granules. Each box of the skill table
indicates the fraction of cloudy pixels having the designated proxy EPIC
(rows) or MOD06 (columns) cloud phase. For instance, the center box
indicates that, for 46.6 % of the cloudy pixels in this granule subset, the
proxy EPIC and MOD06 phase results agree on liquid phase. Note that the
total proxy EPIC phase fractions can be found by summing each row, and
likewise the MOD06 phase fractions by summing the columns; the sum of all
boxes is 100 %. Evidently the increase in undetermined phase results for
the proxy EPIC algorithm, representing 22.2 % of the cloudy pixel
population, is at the expense of both the liquid and ice phase results, both
of which represent smaller fractions (48.2 and 29.6 % for liquid and
ice, respectively) than the respective MOD06 phase results (58 and
39.4 % for liquid and ice, respectively). An increase in the number of
undetermined phase pixels is not necessarily undesirable, however, since it
likely prevents a sizeable number of otherwise incorrect liquid or ice phase
results that can negatively affect COT retrieval quality and potentially
bias aggregated retrieval statistics.</p>
      <p>In spite of the expected larger undetermined fraction due to EPIC's lack of
phase information content, Fig. 3 shows that an algorithm using only cloud
temperature thresholds agrees with the multiple-test MOD06 algorithm for
roughly 77 % of the global cloudy pixels in this granule subset (if the
undetermined pixels are excluded, only 2.5 % of the pixels are classified
differently between the MODIS and EPIC algorithms). This phase agreement
fraction, defined as the sum of the diagonal of the skill table in Fig. 3,
can also be calculated on a global grid, as shown in Fig. 4. Here, the April
2005 phase agreement, normalized by 100 such that it represents a fraction
of cloudy pixels within each grid box, is calculated on a 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
equal-angle grid. Evidently, the phase agreement is zonally dependent, with
the highest agreement primarily in the tropics. This result implies that
zonally dependent cloud temperature thresholds may be necessary for the
operational EPIC cloud phase product; further investigation of the
feasibility of such thresholds is left for future efforts.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p><bold>(a)</bold> Proxy EPIC COT retrievals corresponding to the Aqua MODIS
granule in Fig. 2, as well as <bold>(b)</bold> the distribution of relative
single-channel COT retrieval differences (i.e., errors) with respect to the
baseline two-channel COT-CER retrievals for liquid (red line) and ice (blue
line) phase clouds; the retrieval errors are for the pixel subset having
scattering angle greater than 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f07.png"/>

        </fig>

      <p>The sensitivity of the cloud phase results to cloud temperature threshold
selection is shown in Fig. 5. Here, monthly global cloud phase fractions –
i.e., the fraction of cloudy pixels that are identified as liquid water (red
line), ice (blue line), and undetermined (green line) phases – are plotted as
a function of the cloud temperature threshold perturbation (see Sect. 3).
These phase fractions are again calculated from all April 2005 daytime Aqua
MODIS granules, using the MOD06 1 km CTT product. The temperature threshold
perturbations range from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 to <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5 K, or a total magnitude of 10 K. Note
that a sensitivity study showed that the EPIC A-band is expected to be
capable of detecting cloud height changes equivalent to about 1 to 2 K, which
correspond to altitude changes of roughly 150 m in the US standard
atmospheric profile (Yang et al., 2013). As seen in the figure, increasing
the CTT thresholds unsurprisingly yields a larger fraction of ice clouds and
a smaller fraction of liquid water clouds; the fraction of undetermined, or
ambiguous, phase clouds also increases. Evidently, for a 10 K change in CTT
thresholds, the liquid phase fraction decreases from roughly 55 to
41 %, while the ice and undetermined phase fractions increase from roughly
26 to 34 and 19 to 25 %, respectively. Moreover, these
sensitivities appear to be nearly linear for all three phases, at least for
the range of thresholds applied here. It should be noted, however, that the
linear sensitivity shown here might become nonlinear if an inappropriate
cloud temperature threshold range is selected. While the thresholds used in
this analysis have been shown to be appropriate for CTT via analysis of
CALIOP observations (e.g., Marchant et al., 2016), they will necessarily
require adjustments for EPIC since cloud height information from the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
bands resides deep in the cloud as opposed to near cloud top (Yang et al.,
2013).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Cloud optical properties</title>
      <p>While cloud reflectance in the VIS spectrum is primarily dependent on the
optical thickness of the cloud, there is also some sensitivity to particle
size, specifically for liquid phase clouds that can be weakly absorbing in
the VIS at larger droplet sizes; i.e., single-scattering albedo becomes
smaller than 1. Figure 6 shows simulated top-of-cloud 660 nm reflectance as a
function of COT for liquid (red lines) and ice (blue lines) phase clouds.
Here, solid lines denote the 12 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m fixed CER
assumptions to be used for EPIC liquid and ice phase COT retrievals,
respectively; dotted lines denote reflectance sensitivity to CER,
specifically <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of reflectance assuming CER is uniformly
distributed between 2 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for liquid and 5–60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for ice.
Reflectance is calculated using DISORT for solar and view zenith angles of
30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and a relative azimuth angle of 172<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (roughly
176<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> scattering angle); the clouds are assumed to overlie an ocean
surface with a 7 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> surface wind speed. It is evident that, at least
for the ice crystal habit assumed here (i.e., severely roughened aggregated
columns), ice cloud reflectance at 660 nm is negligibly sensitive to CER.
Liquid cloud reflectance at 660 nm, on the other hand, does exhibit
sensitivity to particle size. Note in the real atmosphere the probability
distribution function (PDF) of CER is not uniform as is assumed here; thus
this figure likely overestimates the true CER sensitivity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>The distribution of relative single-channel COT retrieval errors
with respect to the baseline two-channel COT-CER retrievals for liquid (red
lines) and ice (blue lines) phase clouds for the entire April 2005 Aqua
MODIS granule subset. As in Fig. 7b, the retrieval errors are for the
pixel subset having scattering angle greater than 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (see Fig. 1). Retrievals over all surfaces, land, and ocean are plotted as solid,
dotted, and dashed lines, respectively.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f08.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Mean single-channel COT retrieval error <bold>(a)</bold> and uncertainty <bold>(b)</bold>,
with respect to the baseline two-channel COT-CER retrievals, as a function
of COT and scattering angle for the entire April 2005 Aqua MODIS granule
subset, limited to scattering angles greater than 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (see Fig. 1). COT retrieval error (i.e., relative difference or bias) and uncertainty
are defined as the mean and standard deviation of the histograms in Fig. 8. Black lines denote the COT retrieval PDFs.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f09.jpg"/>

        </fig>

      <p>Returning to the Aqua MODIS granule in Fig. 2 (9 April 2005, 22:15 UTC), Fig. 7a
shows the corresponding single-channel COT retrievals that assume the
fixed 12 and 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m CER for liquid and ice phase clouds, respectively.
A dual-color bar differentiates cloud thermodynamic phase, with liquid
having warm colors and ice having cool colors. Cloud phase is determined
here by the dual-threshold cloud temperature test described above;
following the convention in MOD06, undetermined phase is processed and
plotted as liquid phase. The distribution of relative COT retrieval
differences (i.e., errors) with respect to the baseline two-channel COT-CER
retrieval is shown in (b) for liquid (red line) and ice (blue line) phase
clouds. Note that the retrieval errors are only for the pixel population
having scattering angle greater than 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (see Fig. 2b),
roughly the expected EPIC scattering angle space. Consistent with Fig. 6,
only minimal errors, 2 % or less, are observed between the single-channel
fixed-CER and the baseline two-channel ice phase COT retrievals, while much
larger errors, up to 10 % or higher, are observed for liquid phase clouds.</p>
      <p>On a global monthly scale, COT retrieval errors are similarly distributed.
Figure 8 shows the distribution of relative single-channel COT retrieval
errors for liquid (red lines) and ice (blue lines) phases with respect to
the baseline two-channel COT-CER retrievals for the April 2005 Aqua MODIS
backscatter pixel subset shown in Fig. 1, i.e., pixels having scattering
angle greater than 164<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Retrievals over all surfaces, land, and
ocean are plotted as solid, dotted, and dashed lines, respectively. As in
Fig. 7, the ice phase COT retrievals exhibit little sensitivity to CER,
while the liquid phase retrievals are quite sensitive, with differences
again up to 10 % or higher. Note also that the distribution of liquid
phase retrieval differences is broader than in the granule example in Fig. 7.</p>
      <p>Mean single-channel COT retrieval errors (i.e., relative difference or bias)
due to the fixed CER assumption are shown in Fig. 9a as a function of
retrieved COT and scattering angle for liquid (left) and ice (right) phase
clouds for the April 2005 Aqua MODIS backscatter pixel subset in Fig. 1;
also shown is single-channel COT retrieval uncertainty (b). Here, COT
retrieval error and uncertainty are calculated as the mean and standard
deviation, respectively, of the histograms in Fig. 9. The black lines denote
the corresponding COT retrieval PDFs. It is evident here that, as shown in
Figs. 7 and 8, ice phase COT retrieval errors and uncertainty due to the
fixed CER assumption are minimal, while the largest liquid phase errors and
uncertainty correspond to small COT retrievals (primarily COT &lt; 2) at
the largest scattering angles (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> &gt; <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 174<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>); this is more easily seen in the magnified liquid phase plots
(for COT &lt; 10) in Fig. 10. The large liquid phase errors at small
COT, where the single-scattering component is expected to dominate the total
reflectance, are primarily a result of the sensitivity of the scattering
phase function to CER.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>A magnified view of the mean single-channel COT retrieval error
<bold>(a)</bold> and uncertainty <bold>(b)</bold> corresponding to the liquid phase plots in Fig. 9,
here for COT &lt; 10. Black lines again denote the COT retrieval PDFs.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f10.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Liquid and ice phase COT retrieval statistics using different cloud
thermodynamic phase algorithms.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud phase</oasis:entry>  
         <oasis:entry namest="col2" nameend="col3" align="center">COT mean </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">COT median </oasis:entry>  
         <oasis:entry namest="col6" nameend="col7" align="center">COT standard </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry namest="col6" nameend="col7" align="center">deviation </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Liquid</oasis:entry>  
         <oasis:entry colname="col3">Ice</oasis:entry>  
         <oasis:entry colname="col4">Liquid</oasis:entry>  
         <oasis:entry colname="col5">Ice</oasis:entry>  
         <oasis:entry colname="col6">Liquid</oasis:entry>  
         <oasis:entry colname="col7">Ice</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">MOD06 phase</oasis:entry>  
         <oasis:entry colname="col2">9.2</oasis:entry>  
         <oasis:entry colname="col3">12.6</oasis:entry>  
         <oasis:entry colname="col4">3.7</oasis:entry>  
         <oasis:entry colname="col5">3.6</oasis:entry>  
         <oasis:entry colname="col6">15.9</oasis:entry>  
         <oasis:entry colname="col7">26.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EPIC phase</oasis:entry>  
         <oasis:entry colname="col2">8.2</oasis:entry>  
         <oasis:entry colname="col3">12.5</oasis:entry>  
         <oasis:entry colname="col4">3.2</oasis:entry>  
         <oasis:entry colname="col5">3.5</oasis:entry>  
         <oasis:entry colname="col6">14.8</oasis:entry>  
         <oasis:entry colname="col7">26.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EPIC phase,  CTT<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 K</oasis:entry>  
         <oasis:entry colname="col2">8.5</oasis:entry>  
         <oasis:entry colname="col3">12.6</oasis:entry>  
         <oasis:entry colname="col4">3.3</oasis:entry>  
         <oasis:entry colname="col5">3.4</oasis:entry>  
         <oasis:entry colname="col6">15.5</oasis:entry>  
         <oasis:entry colname="col7">26.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">EPIC phase,  CTT<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5 K</oasis:entry>  
         <oasis:entry colname="col2">7.7</oasis:entry>  
         <oasis:entry colname="col3">12.6</oasis:entry>  
         <oasis:entry colname="col4">3.0</oasis:entry>  
         <oasis:entry colname="col5">3.6</oasis:entry>  
         <oasis:entry colname="col6">14.1</oasis:entry>  
         <oasis:entry colname="col7">26.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Cloud thermodynamic phase <bold>(a)</bold> and single-channel COT <bold>(b)</bold>
retrievals corresponding to the Aqua MODIS granule in Figs. 2 and 7. Here,
the native 1 km (at nadir) MODIS resolution CTT and spectral reflectance are
degraded to 25 km (at nadir) resolution prior to the retrieval process.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Histograms of single-channel COT retrievals at the native 1 km (at
nadir) MODIS resolution (solid lines) and 25 km (at nadir) resolution (dotted
lines) for liquid (red lines) and ice (blue lines) phase clouds for the
entire April 2005 Aqua MODIS subset. Note these histograms include only
those scenes for which the cloudy 1 km pixels within each 25 km pixel have the
same cloud phase as that of the 25 km pixel.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/9/1785/2016/amt-9-1785-2016-f12.pdf"/>

        </fig>

      <p>Finally, it is reasonable to expect that the global EPIC COT retrieval
statistics can be dependent on the liquid, ice, and undetermined phase pixel
populations identified by the dual-threshold cloud temperature phase
discrimination approach. Table 1 shows the mean, median, and standard
deviation of retrieved liquid and ice phase COT under different cloud phase
scenarios, namely the multiple-test MOD06 phase, the dual-threshold EPIC
phase, and the EPIC phase using CTT thresholds perturbed by <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 K. Data
are from the April 2005 backscatter pixel subset shown in Fig. 1 and
include all cloudy pixels regardless of cloud phase agreement between
scenarios; note that the cloud mask is identical for each scenario, and thus the
population of cloudy pixels is constant. It is evident that for this pixel
subset the ice phase COT retrieval statistics are relatively unaffected by
cloud phase population differences, while the liquid phase COT retrieval
means can vary by up to 1.5 COT.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Sensitivity to Spatial Resolution</title>
      <p>Thus far, all expected EPIC retrieval errors and uncertainties have been
estimated at native 1 km (at nadir) MODIS spatial resolution. However,
because the nominal EPIC spatial resolution may be over 20 km if the
native-resolution CCD radiances are aggregated to coarser resolution and, if
necessary, after accounting for appropriate sensor spatial response
functions, it is useful to characterize the effects of a relatively coarse
spatial resolution on the cloud optical retrievals and their statistics. To
this end, the modified MOD06 algorithm used to produce the proxy EPIC
retrievals is further modified to aggregate 1 km MODIS pixels into
25 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25-pixel boxes prior to the retrieval process, yielding cloud
thermodynamic phase and COT retrievals at a spatial resolution of 25 km at
nadir, considered to be a worst-case scenario for EPIC. Specifically, the
25 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25-pixel aggregation involves averaging the measured 1 km
spectral reflectance as well as the 1 km MOD06 CTT and CTP retrievals; note
the MOD06 CT product is produced by an algorithm independent from the cloud
optical retrievals and is not included in the shared-core retrieval suite
used here. In addition, because the cloud masking is obtained from the 1 km
MOD35 product, the 25 km EPIC-like “pixels” are deemed to be cloudy if the
sub-pixel 1 km cloud fraction is greater than 16 %, the same cloudiness
threshold used in the operational MOD08 global level-3 aggregations of the
MOD06 5 km CT and IR cloud phase products (Hubanks et al., 2015). Finally,
because the impacts of spatial resolution alone are of interest here, no
scattering angle filtering is applied to the retrievals; i.e., all daytime
April 2005 Aqua MODIS granules are used.</p>
      <p>Figure 11 shows the 25 km resolution cloud phase (a) and single-channel COT
(b) retrievals for the Aqua MODIS case study granule shown in Figs. 2 and 7
(9 April 2005, 22:15 UTC). Intuitively, the coarse-resolution retrievals are
unable to capture the fine-scale cloud horizontal structure that is evident
in the 1 km phase and COT retrievals in Figs. 2d and 7a,
respectively, resulting in a smoother COT retrieval field. In addition,
cloudiness is overestimated in regions with more broken clouds, a not
unexpected result (e.g., Zhao and Di Girolamo, 2006), and the edges of the
ice clouds are also more likely to be identified as undetermined phase. Note
that increasing the sub-pixel 1 km cloud fraction threshold can mitigate
overestimated cloudiness in broken cloud fields; however, it is unclear what
threshold value may be more appropriate given that the real sensitivity of
EPIC cloud detection to sub-pixel cloudiness remains unknown.</p>
      <p>The observed granule-level differences ultimately will result in differences
in spatially and temporally aggregated retrieval statistics. For instance,
histograms of liquid (red lines) and ice (blue lines) phase single-channel
COT retrievals over (a) all surfaces, (b) land, and (c) ocean for all
daytime April 2005 Aqua MODIS granules are shown in Fig. 12. Here, solid and
dotted lines denote retrievals at 1 and 25 km spatial resolution,
respectively. As previously stated, the 25 km pixels must have 1 km sub-pixel
cloud fraction greater than 16 % to be included here; in addition, all
cloudy 1 km pixels within each 25 km pixel must have cloud phase identical to
that of the 25 km pixel. For liquid phase clouds, the smoothing of the COT
retrieval field and overestimated cloudiness in broken cloud regions seen in
Fig. 11 both contribute to 25 km COT retrieval distributions having smaller
modes (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 for all surfaces) than the 1 km COT distributions
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 for all surfaces). The opposite is the case for ice
clouds, as the modes of the 25 km COT retrieval distributions are larger
(though only slightly) than those of the 1 km COT distributions.
<?xmltex \hack{\vspace{-3mm}}?></p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion and summary</title>
      <p>At the L1 point, the DSCOVR platform will continuously observe the entire
sunlit half of the Earth at near-backscatter directions, providing a unique
perspective of the Earth's atmosphere, clouds, and aerosols. The DSCOVR
cloud products will be derived from EPIC observations in the ultraviolet and
visible spectra, with cloud optical property retrieval heritage from ISCCP
and the operational MODIS cloud products (MOD06). Because a given location
at the Earth's surface will be observed multiple times each day, this
data set is expected to provide insight into the cloud diurnal cycle. In
addition, because EPIC is equipped with a 2048 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2048 CCD array, the
DSCOVR cloud products are expected to provide sub-pixel cloud information
that can be used for interpretation of broadband solar reflectance data from
NISTAR, which observes the Earth as a single pixel. Moreover, the DSCOVR
cloud products can be complementary to other EPIC-based data sets such as UV
aerosol and trace gas retrievals.</p>
      <p>Due to the lack of CER-sensitive channels, EPIC COT retrievals will adopt a
single visible channel technique and assume appropriate phase-dependent
values for CER. The uncertainties resulting from this assumption are
investigated using a subset of 1 month of Aqua MODIS granules from April
2005 for which MODIS observed the same scattering angle space as that
observed by EPIC, i.e., the backscatter angles between 164 and
176<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Results show that for ice clouds the errors in the single-channel
retrieval are minimal (&lt; 2 %), while for liquid clouds the
error can reach 10 % or higher for thin clouds (COT &lt; 2) at large
scattering angles (<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> &gt; 174<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).</p>
      <p>EPIC will only have cloud temperature information from its O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> A- and
B-bands; hence for this study, cloud thermodynamic phase is determined using
cloud temperature thresholds only. Compared to the operational MOD06 cloud
optical property phase results that use a suite of tests based on IR cloud
top and spectral SWIR-based CER retrievals (Marchant et al., 2016), cloud
phase determined from cloud temperature thresholds only is expected to yield
more pixels with undetermined, or ambiguous, phase results. An investigation
of the sensitivity of cloud phase determination to temperature thresholds
shows that a 10 K difference in thresholds results in absolute phase fraction
changes of up to 14 %, though it should be noted that this sensitivity
necessarily assumes that the thresholds are appropriately defined with
respect to the distribution of cloud phase versus cloud temperature.</p>
      <p>Finally, we note that potential uncertainties in the EPIC cloud mask and
cloud temperature retrievals are not considered in this study. Furthermore,
the COT retrieval approach assumes that the pixels are overcast and
homogeneous, consistent with the plane-parallel forward radiative transfer
assumption. Errors resulting from sub-pixel cloud heterogeneity and 3-D
radiative transfer effects are quite beyond the scope of this investigation
and are in practice difficult to quantify. They nevertheless can be expected
to be sizeable given the relatively large size of the EPIC field of view.
Cloud masking errors, i.e., erroneously determining a given FOV is cloudy or
clear, are likewise difficult to quantify, much less define, and are thus
ignored here.</p>
<sec id="Ch1.S5.SSx1" specific-use="unnumbered">
  <title>Data availability</title>
      <p>The Aqua MODIS level-1 (MCST/MODAPS, 2016a, b) and
level-2 (Ackerman and Frey, 2016; Platnick et al., 2016) data used in this investigation are publicly available from the NASA
Level 1 and Atmosphere Archive and Distribution System (LAADS)
(<uri>http://ladsweb.nascom.nasa.gov</uri>).</p>
</sec>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The authors would like to thank the leadership team of the NASA component of
the DSCOVR project for their support of the development of the EPIC science
algorithms, in particular Alexander Marshak, as well as the continued MOD06
cloud retrieval algorithm development support of Galina Wind and Nandana
Amarasinghe. This research was supported by NASA grant NNX15AB51G (DSCOVR
Earth Science Algorithms program managed by Richard Eckman, PI Yuekui Yang)
and by the NASA Radiation Sciences Program.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
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    <!--<article-title-html>Uncertainties in cloud phase and optical thickness retrievals from the Earth
Polychromatic Imaging Camera (EPIC)</article-title-html>
<abstract-html><p class="p">This paper presents an investigation of the expected uncertainties of a single-channel
cloud optical thickness (COT) retrieval technique, as well as a simple
cloud-temperature-threshold-based thermodynamic phase approach, in support of the
Deep Space Climate Observatory (DSCOVR) mission. DSCOVR cloud products will
be derived from Earth Polychromatic Imaging Camera (EPIC) observations in the
ultraviolet and visible spectra. Since EPIC is not equipped with a spectral
channel in the shortwave or mid-wave infrared that is sensitive to cloud
effective radius (CER), COT will be inferred from a single visible channel
with the assumption of appropriate CER values for liquid and ice phase
clouds. One month of Aqua MODerate-resolution Imaging Spectroradiometer
(MODIS) daytime granules from April 2005 is selected
for investigating cloud phase sensitivity, and a subset of these granules
that has similar EPIC Sun-view geometry is selected for investigating COT
uncertainties. EPIC COT retrievals are simulated with the same algorithm as
the operational MODIS cloud products (MOD06), except using fixed
phase-dependent CER values. Uncertainty estimates are derived by comparing
the single-channel COT retrievals with the baseline bi-spectral MODIS
retrievals. Results show that a single-channel COT retrieval is feasible for
EPIC. For ice clouds, single-channel retrieval errors are minimal (&lt; 2 %) due to the particle size insensitivity of the assumed ice crystal
(i.e., severely roughened aggregate of hexagonal columns) scattering
properties at visible wavelengths, while for liquid clouds the error is
mostly limited to within 10 %, although for thin clouds (COT &lt; 2)
the error can be higher. Potential uncertainties in EPIC cloud masking and
cloud temperature retrievals are not considered in this study.</p></abstract-html>
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