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  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</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/tc-14-2189-2020</article-id><title-group><article-title>Satellite-based sea ice thickness changes in the Laptev Sea from 2002 to 2017: comparison to mooring observations</article-title><alt-title>Satellite-based sea ice thickness changes in the Laptev Sea from 2002 to 2017</alt-title>
      </title-group><?xmltex \runningtitle{Satellite-based sea ice thickness changes in the Laptev Sea from 2002 to 2017}?><?xmltex \runningauthor{H.~J.~Belter~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Belter</surname><given-names>H. Jakob</given-names></name>
          <email>jakob.belter@awi.de</email>
        <ext-link>https://orcid.org/0000-0001-9383-911X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Krumpen</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6234-8756</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hendricks</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1412-3146</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hoelemann</surname><given-names>Jens</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5102-4086</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Janout</surname><given-names>Markus A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4908-2855</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ricker</surname><given-names>Robert</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6928-7757</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Haas</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7674-3500</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Sea Ice Physics, Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Am Handelshafen 12, <?xmltex \hack{\break}?> 27570 Bremerhaven, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Physical Oceanography of the Polar Seas, Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, <?xmltex \hack{\break}?>Am Handelshafen 12, 27570 Bremerhaven, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">H. Jakob Belter (jakob.belter@awi.de)</corresp></author-notes><pub-date><day>7</day><month>July</month><year>2020</year></pub-date>
      
      <volume>14</volume>
      <issue>7</issue>
      <fpage>2189</fpage><lpage>2203</lpage>
      <history>
        <date date-type="received"><day>16</day><month>December</month><year>2019</year></date>
           <date date-type="accepted"><day>9</day><month>June</month><year>2020</year></date>
           <date date-type="rev-recd"><day>26</day><month>March</month><year>2020</year></date>
           <date date-type="rev-request"><day>14</day><month>January</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://tc.copernicus.org/articles/.html">This article is available from https://tc.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e145">The gridded sea ice thickness (SIT) climate data record (CDR) produced by the European Space Agency (ESA) Sea Ice Climate Change Initiative Phase 2
(<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>) is the longest available, Arctic-wide SIT record covering the period from 2002 to 2017. SIT data are based on radar altimetry measurements of
sea ice freeboard from the Environmental Satellite (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>) and CryoSat-2 (CS2). The <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT has previously been validated with in situ
observations from drilling, airborne remote sensing, electromagnetic (EM) measurements and upward-looking sonars (ULSs) from multiple ice-covered
regions of the Arctic. Here we present the Laptev Sea <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT record from 2002 to 2017 and use newly acquired ULS and upward-looking acoustic
Doppler current profiler (ADCP) sea ice draft (VAL) data for validation of the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and additional satellite SIT products. The ULS and ADCP
time series provide the first long-term satellite SIT validation data set from this important source region of sea ice in the Transpolar Drift. The
comparison of VAL sea ice draft data with gridded monthly mean and orbit trajectory <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data, as well as merged CryoSat-2–SMOS (CS2SMOS) sea ice
draft, shows that the agreement between the satellite and VAL draft data strongly depends on the thickness of the sampled ice. Rather than providing
mean sea ice draft, the considered satellite products provide modal sea ice draft in the Laptev Sea. Ice drafts thinner than 0.7 m are
overestimated, while drafts thicker than approximately 1.3 m are increasingly underestimated by all satellite products investigated for this
study. The tendency of the satellite SIT products to better agree with modal sea ice draft and underestimate thicker ice needs to be considered for
all past and future investigations into SIT changes in this important region. The performance of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR is considered stable over time;
however, observed trends in gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT are strongly influenced by the uncertainties of <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 and the comparably short investigation
period.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e193">Sea ice is one of the most important indicators for climate change in the Earth's polar regions. Two of the primary parameters that are studied in
this context are sea ice concentration (SIC) and sea ice thickness (SIT). While knowledge about SIC is widely available, it provides limited insight
into overall sea ice changes. A joint evaluation of SIC, SIT and sea ice drift is required for the analysis of sea ice mass balance, volume transports
and the overall energy balance <xref ref-type="bibr" rid="bib1.bibx38" id="paren.1"/>, which comprehensively explain the complex sea ice state.</p>
      <p id="d1e199">While in situ measurements of SIC and SIT are limited in time and space, satellite measurements of both parameters provide the means to assess
Arctic-wide changes in the sea ice cover. Satellite remote sensing of SIC started in the 1970s with passive microwave sensors <xref ref-type="bibr" rid="bib1.bibx40" id="paren.2"/>
and has been further developed, updated and improved by multiple follow-on missions <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx10 bib1.bibx37" id="paren.3"/> until<?pagebreak page2190?> today. While these
measurements provide about 40 years of continuous SIC records, SIT satellite records of comparable length are not available. The longest existing SIT
data record (from 2002 to 2017) was published by the European Space Agency's (ESA) Sea Ice Climate Change Initiative (CCI). The current SIT data
record is sufficiently long to achieve the objective of a long-term SIT climate data record (CDR) in the Arctic Ocean and is based on radar altimetry
data from the Environmental Satellite (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>, 2002–2012) and from the CryoSat-2 (CS2) mission that was launched in 2010. SIT remote sensing with
radar altimetry relies on retrievals of sea ice freeboard and is therefore an indirect method that is based on certain assumptions and
parametrizations that introduce a number of uncertainty factors. These uncertainties can be separated into intrinsic uncertainties that arise from the
radar measurements themselves and uncertainties that are induced during the ensuing processing. Processing uncertainties include the impact of snow
on radar backscatter and surface roughness on radar ranging and thus the retrieved elevation of the ice surface, the correct discrimination of sea ice
and lead surface types with evolving altimeter footprints, the unknown variability of snow mass, and snow and sea ice density that go into the
conversion of freeboard to thickness <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx38 bib1.bibx44" id="paren.4"/>.</p>
      <p id="d1e215">The CCI Phase 2 (<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>) SIT product was validated with observational data from multiple sources <xref ref-type="bibr" rid="bib1.bibx30" id="paren.5"/> including in situ drill holes from
a number of North Pole (NP) drift campaigns <xref ref-type="bibr" rid="bib1.bibx30" id="paren.6"/>, observations from airborne and ground-based electromagnetic (EM) measurements
<xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx19 bib1.bibx20" id="paren.7"/>, airborne remote sensing measurements from the Operation IceBridge (OIB) <xref ref-type="bibr" rid="bib1.bibx35" id="paren.8"/>, and ice draft measurements
from upward-looking sonars (ULSs) <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx55 bib1.bibx39" id="paren.9"/>. However, these measurements are limited mainly to
regions of the Arctic dominated by multi-year ice (MYI). While NP drill hole data are limited to the central Arctic, most airborne EM flights took place in the vicinity of
Fram Strait, Lincoln Sea, and in the Chukchi and southern Beaufort seas. ULS measurements were limited to Fram Strait <xref ref-type="bibr" rid="bib1.bibx21" id="paren.10"/> and the
Beaufort Sea <xref ref-type="bibr" rid="bib1.bibx55" id="paren.11"/>.</p>
      <p id="d1e244">The Russian shelf seas are a region where observational data are very limited and which therefore have not been considered for the validation of the
<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR. At the same time the Russian shelf seas are also regarded to be the most important source regions of Arctic sea ice with the Laptev Sea
being the origin of most of the sea ice passing Fram Strait <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx21 bib1.bibx28" id="paren.12"/>. The Laptev Sea is located between the Siberian
coast, the New Siberian Islands to the east and Severnaya Zemlya to the west (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). It is ice-covered from October to June
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.13"/> and very shallow with water depths between 15 and 200 m <xref ref-type="bibr" rid="bib1.bibx50" id="paren.14"/>. The Laptev Sea is dominated by fast ice, flaw
polynyas and pack ice <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx3 bib1.bibx32" id="paren.15"/>. Sea ice is formed in the polynyas and continuously transported northward by the
persistent offshore-directed winds <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx32" id="paren.16"/>. Due to the continuous formation and export of ice, the Laptev Sea sea ice cover is
dominated by first-year ice (FYI).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e272">Map of the Laptev Sea showing the validation data (VAL) mooring sites. ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT data from the enclosed area (red) were used for the calculation of satellite SIT anomaly (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). IBCAO base map provided by <xref ref-type="bibr" rid="bib1.bibx29" id="text.17"/>.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f01.png"/>

      </fig>

      <p id="d1e290">Recent studies indicate a thinning of Arctic sea ice within the Transpolar Drift <xref ref-type="bibr" rid="bib1.bibx18" id="paren.18"/> and in Fram Strait <xref ref-type="bibr" rid="bib1.bibx33" id="paren.19"/>. According to
<xref ref-type="bibr" rid="bib1.bibx33" id="text.20"/> this thinning is a consequence of faster ice transport across the Arctic and leads to more frequent interruptions of the FYI flow
from the Russian shelves towards the Transpolar Drift. Whether fundamental changes of the sea ice cover in the source regions cause the observed
thinning of Fram Strait sea ice needs to be further investigated.</p>
      <p id="d1e302">The available <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR has not yet been fully exploited with respect to variability and trends on the Russian shelves. This is partly due to the
lack of validation data but also because the initial aim of the altimetry missions was to measure fluctuations in perennial SIT <xref ref-type="bibr" rid="bib1.bibx56" id="paren.21"/>
which is not prevalent in the FYI-dominated Russian shelf seas.</p>
      <?pagebreak page2191?><p id="d1e312">In order to close the observational data gap and validate the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR in this important source region of Arctic sea ice, we present a new
sonar-based sea ice draft data set from the Laptev Sea. This data set consists of ULS measurements from 2013 to 2015 and upward-looking acoustic
Doppler current profiler (ADCP) ice draft data that were acquired applying the approach of <xref ref-type="bibr" rid="bib1.bibx8" id="text.22"/>. Together with the ADCP-derived
ice draft time series, the full Laptev Sea validation (VAL) data set covers a period from 2003 to 2016. Since moored sonars are capable of detecting
all ice types without a bias towards undeformed ice <xref ref-type="bibr" rid="bib1.bibx4" id="paren.23"/>, this new data set provides comprehensive information about the full
thickness range.</p>
      <p id="d1e325">The objectives of this study are to examine the gridded monthly mean ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR and use the new in situ data set to evaluate its performance in
the Laptev Sea. We will analyse the time-dependent stability of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR in order to see whether potential trends in Laptev Sea SIT are
caused by actual changes in SIT in the region or by a change in the ability of the satellites and the ensuing processing steps to characterize the
Laptev Sea sea ice cover over time. In this context, stability is defined as the constancy of the mean difference of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR to the Laptev
Sea observational data. In addition, we will compare VAL data to satellite products with higher temporal resolution than the gridded monthly mean
<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR. Finally, the case study of the 2013/2014 ULS draft time series from the Taymyr mooring (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) will highlight and further
explain the findings of the presented comparison of satellite and sonar-derived sea ice draft time series.</p>
      <p id="d1e347">The presented analysis will assist the interpretation and support future algorithm development of altimetry-based SIT CDR. It is an important addition
to the existing validation data sets <xref ref-type="bibr" rid="bib1.bibx30" id="paren.24"/> and might provide the means to assess regional differences in the performance of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT
products in the Arctic. For the Laptev Sea region the presented sonar-based data provide better interpretation and more confidence in the ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>
SIT products. After all, this unique satellite-derived SIT record can be an important data set for future investigations into volume transports and
will complement previous studies on the changes of the sea ice cover on the Russian shelves.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sonar-based ice draft measurements</title>
      <p id="d1e376">The Laptev Sea sea ice draft time series were retrieved by two different instruments. The full ice draft time series from upward-looking ADCPs and
ULSs (VAL) covers a period from 2003 to 2016 and was taken at water depths between 20 and 60 m. The data set consists of multiple 1- to 2-year-long sea ice draft time series from a total of nine different locations all over the Laptev Sea (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). This inconsistency in the
location of the measurements is a considerable limitation for the analysis of sea ice draft variability in this region because we are not sampling
a single location over the full period but multiple ones over short periods. Nevertheless, this data set provides important validation data to analyse
the performance of satellite-derived sea ice draft over the Laptev Sea region. The proper validation of the satellite SIT products will then allow the
targeted analysis of the long-term changes in SIT in this important region of sea ice formation.
<?xmltex \hack{\newpage}?></p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Upward-looking sonar</title>
      <p id="d1e389">ULSs measured from September 2013 to August 2015 at the Taymyr and 1893 stations <xref ref-type="bibr" rid="bib1.bibx6" id="paren.25"/>. The Laptev Sea ULSs were of the type Ice
Profiling Sonar 5 (420 kHz, manufactured by ASL Environmental Sciences Inc.) and operated with a single vertical beam (1.8<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> beamwidth) at
a sampling frequency of 1 Hz. Ice draft was inferred from measured values of range (distance between device and ice–water interface) and auxiliary
measurements of instrument tilt, pressure and temperature at instrument depth (sampling frequency <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> Hz). Final sea ice draft time series with an
approximate precision of <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 m were calculated as the difference between instrument depth and range and corrected for instrument tilts and
changes in sound speed <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx1" id="paren.26"/>.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Upward-looking ADCP</title>
      <p id="d1e434">The second approach utilized upward-looking ADCPs to derive ice draft time series <xref ref-type="bibr" rid="bib1.bibx7" id="paren.27"/>. The available ADCPs were upward-looking
Workhorse 300 kHz Sentinel ADCPs manufactured by Teledyne RD Instruments. They measured with four different beams (beamwidth 3.8<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) at a default angle of
20<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> from the vertical. Although ADCPs have been used to derive sea ice draft before <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx2 bib1.bibx27 bib1.bibx9" id="paren.28"/>, the
Laptev Sea ADCPs were not equipped with reliable pressure sensors or lacked them altogether. These additional pressure measurements close to the ADCP
proved essential for the determination of instrument depth. In order to determine instrument depth without additional pressure data, <xref ref-type="bibr" rid="bib1.bibx8" id="text.29"/>
proposed an adaptive approach to derive instrument depth using ADCP bottom track mode measurements of surface and error velocity. Surface and error
velocity provide measures for surface inconsistencies in vertical velocity between the four measuring beams. While vertical velocities are similar
during ice-covered periods, large velocity differences indicate open-water conditions <xref ref-type="bibr" rid="bib1.bibx5" id="paren.30"/>. After determining open-water and
ice-covered periods, the most frequently occurring open-water range value was defined as instrument depth for the respective sampling period and
mooring <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx7" id="paren.31"/>. Ultimately, the approach by <xref ref-type="bibr" rid="bib1.bibx8" id="text.32"/> yielded daily mean sea ice draft time series that are within
<inline-formula><mml:math id="M6" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 m of the reference draft time series from the coincidental ULS deployments in the Laptev Sea. Following their method we extended the
existing Laptev Sea ULS sea ice draft time series with ADCP-derived sea ice draft in this vastly under-sampled source region of Arctic sea ice.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Sonar draft data processing</title>
      <p id="d1e489">In order to compare daily VAL data to satellite SIT products, VAL data were averaged to weekly and monthly mean<?pagebreak page2192?> values. Open-water values (draft values
of zero) recorded by ULS and ADCP were excluded prior to weekly and monthly averaging of VAL sea ice draft. In cases where more than 50 % of VAL data
were missing or considered open water, no weekly or monthly average VAL value was calculated.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Satellite data</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><?xmltex \opttitle{ESA \mbox{CCI-2}~monthly mean gridded product}?><title>ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> monthly mean gridded product</title>
      <p id="d1e513">The ESA's <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT Level 3 collated (L3C) gridded product is based on pulse-limited radar altimeter measurements from <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (2002–2012) and
along-track beam-sharpened synthetic aperture interferometric radar altimeter measurements from the ongoing CS2 mission
<xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx22" id="paren.33"/>. The <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT data record is available on a 25 km <inline-formula><mml:math id="M7" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25 km EASE2 monthly grid in the Arctic winter season from
October through April. The parameters available from the utilized monthly gridded L3C product include freeboard, freeboard uncertainty, SIT and SIT
uncertainty. For simplicity we distinguish between the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?><?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> gridded data (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>) for the period from 2003 to 2012 <xref ref-type="bibr" rid="bib1.bibx25" id="paren.34"/> and
<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CS2 gridded data (CS2) for the period from 2010 to 2016 <xref ref-type="bibr" rid="bib1.bibx23" id="paren.35"/>. The separation of the two data sets that combine for the full <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>
SIT CDR is also required because of the different characteristics of the two satellite radar altimeters. <xref ref-type="bibr" rid="bib1.bibx41" id="text.36"/> identified differences in
freeboard between <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 that are based on waveform parameter variations, footprint differences and the fact that ice surface properties are
treated differently during the processing. These freeboard differences translate to the gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data presented here. Although
<xref ref-type="bibr" rid="bib1.bibx41" id="text.37"/> minimized the inter-mission sea ice freeboard biases for the basin average, <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> freeboards in MYI regions are still thinner than
CS2 freeboards, while <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> provides thicker freeboards than CS2 in regions that are dominated by FYI (Fig. 13 in <xref ref-type="bibr" rid="bib1.bibx41" id="altparen.38"/>). In the Laptev
Sea typical <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (CS2) SIT uncertainties are 1.5 m (1.1 m).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><?xmltex \opttitle{ESA \mbox{CCI-2} orbit data}?><title>ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> orbit data</title>
      <p id="d1e609">The presented gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data are based on radar altimeter measurements along the orbit trajectories of <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2
<xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx24" id="paren.39"/>. While the gridded mean data provide Arctic-wide monthly mean values of SIT, the orbital data sets
(ENVISATorbit and CS2orbit) provide SIT and freeboard at sensor resolution (2 km in diameter for ENVISATorbit – <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.40"/> and 0.3 km along
and 1.5 km across-track for CS2orbit – <xref ref-type="bibr" rid="bib1.bibx56" id="altparen.41"/>). Typical uncertainties of orbit SIT in the Laptev Sea are about 1.5 (ENVISATorbit) and
1.1 m (CS2orbit). The frequency of the overflights over a predefined 25 km area around the moorings varies between <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 due to their
different orbit inclinations. However, with an average of about four overflights per month of both satellites, orbit trajectory data deliver SIT at
a higher frequency than the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data sets and allow for a comparison of observational data to a larger number of satellite values.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Merged CryoSat-2–SMOS data</title>
      <p id="d1e646">The merged weekly CS2 and Soil Moisture and Ocean Salinity (SMOS) satellite record (CS2SMOS, <xref ref-type="bibr" rid="bib1.bibx45" id="text.42"/>) provides an additional SIT data set
with a higher temporal resolution than the gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDRs. SMOS utilizes 1.4 GHz (L-band) measurements of brightness temperature
to retrieve SIT <xref ref-type="bibr" rid="bib1.bibx49" id="paren.43"/>. While the relative uncertainties of the altimetry-based method (CS2) are larger over thin ice regimes (below
1 m thickness), the radiometer-based method (SMOS) shows smaller relative uncertainties over these thin ice regimes <xref ref-type="bibr" rid="bib1.bibx45" id="paren.44"/>. Other than
gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> orbit data, CS2SMOS data are only available from 2010 onwards but provide weekly temporal resolution and show typical
uncertainties in the Laptev Sea of approximately 0.15 m. Furthermore, CS2SMOS combines the advantages of observing thick (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m) and thin
(<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m) ice with CS2 and SMOS, respectively, keeping the relative uncertainties for both ice regimes as small as possible <xref ref-type="bibr" rid="bib1.bibx45" id="paren.45"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Satellite draft data processing</title>
      <?pagebreak page2193?><p id="d1e702">In order to be consistent with VAL sea ice draft data <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> freeboard was subtracted from <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT to obtain <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> gridded monthly mean and orbit sea
ice draft. Since CS2SMOS SIT is derived by an optimal interpolation of two SIT products <xref ref-type="bibr" rid="bib1.bibx45" id="paren.46"/> and thus does not provide freeboard
information, sea ice draft was calculated differently than for the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products. CS2SMOS SIT was divided by a constant ratio of 1.136 to compute sea
ice draft. This ratio between SIT and draft was derived through nearly 400 drillings of sea ice in Fram Strait <xref ref-type="bibr" rid="bib1.bibx52" id="paren.47"/> and is in good
agreement with Arctic-wide SIT measurements from Russian drillings <xref ref-type="bibr" rid="bib1.bibx53" id="paren.48"/>. For the comparison to mooring-based VAL sea ice draft data, all
satellite sea ice draft data points from within a predefined 25 km radius around the mooring site were selected and calculated into a weighted mean
sea ice draft value. The weighted averaging accounts for the varying distances between the selected satellite data points and the mooring location and
was done for each satellite product individually. Since all five data sets are based on radar altimetry data, satellite sea ice draft data are only
available from October through April.
<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Data limitations</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>VAL data</title>
      <p id="d1e748">VAL data are based on sonar-derived ice drafts from two differing instruments. In general, the default setup, with a single narrow vertical beam and
a sampling frequency of 1 Hz, makes the ULS the primary instrument for stationary long-term observation of sea ice draft. Although upward-looking
ADCPs are based on the same measurement principles, they are built for measurements of currents and ice drift rather than sea ice
draft. Consequently, the ADCP-derived sea ice draft time series are less accurate than ULS-derived time series <xref ref-type="bibr" rid="bib1.bibx8" id="paren.49"/>. As a result this
study compares satellite data to VAL data sets of different quality. This compromise in data quality between ULS and ADCP was taken on because we
consider the daily mean sea ice draft time series to be sufficiently accurate for the comparison to weekly and monthly mean sea ice draft from gridded
satellite products. Since they are of sufficient quality, the ADCP-derived draft records allow us to significantly extend the available ULS-derived
time series. Rather than analysing data from only 2 consecutive years, we are able to investigate a time period of almost 13 years. The increased
length of this unique Laptev Sea VAL data set is vital for the evaluation of the stability of the investigated <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> records.</p>
      <p id="d1e758">Despite the fact that we were able to extend our Laptev Sea VAL data set, it has to be noted that in situ observations of sea ice draft are very
limited in the Laptev Sea. The lack of mooring measurements over more than 2 years at any of the sampled locations prohibits us from comparing
satellite data to VAL data from a single mooring location. Instead, the entire VAL data record is composed of 1- to 2-year time series from a total
of nine different locations all over the Laptev Sea (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Although this inconsistency is unfavourable for the analysis of long-term
variability of sonar-based SIT in this region, the VAL data provide a new and unique validation record for the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><?xmltex \opttitle{ESA \mbox{CCI-2} gridded monthly mean draft data}?><title>ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> gridded monthly mean draft data</title>
      <p id="d1e780">Like the VAL data record, gridded and orbit <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data are based on measurements from two different systems. Inter-mission differences have been
analysed previously and indicate that due to the different setups of the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 radar altimeters the final SIT, and therefore draft, records
contain residual intermission differences <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx41" id="paren.50"/>. These biases vary regionally and seasonally. The seasonal biases between
<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 need to be considered for the temporal development of the Laptev Sea SAT–VAL differences between the two periods. For the Laptev Sea
the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> SIT is, on average, approximately 0.22 m thicker than the CS2 SIT for the overlap period from November 2010 to March 2012.</p>
      <p id="d1e802">In addition, the biggest limitation for the analysis of the performance of the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CDR is its temporal resolution of 1 month and its
limitation to the period from October through April. This significantly limits the number of <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> draft data points for the comparably short
validation period from 2003 to 2016.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e815">ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> gridded (25 km EASE grid) sea ice thickness (SIT) anomaly in the Laptev Sea. SIT anomaly was calculated for each month compared to the mean of the same month over the full period from 2002 to 2017. Anomalies were calculated for every grid point and averaged over a predefined area in the Laptev Sea (70–81.5<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 100–145<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, enclosed area Fig. <xref ref-type="fig" rid="Ch1.F1"/>). <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> provides the goodness of fit for each trend line.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f02.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e863"><bold>(a)</bold> Difference (SAT–VAL difference) between gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>/CS2 and VAL ice drafts. VAL data consist of ice draft data derived from upward-looking ADCPs for the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> period (blue) and a combination of ADCP and ULS data for the CS2 period (orange). <bold>(b)</bold> Probability density function (PDF) of SAT–VAL differences over the full period from 2003 to 2016.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f03.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e888">Statistics of the comparison of gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and ENVISATorbit draft data with VAL mean sea ice draft for the period from 2003 to 2012. RMSD and mean difference were calculated for the differences of <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> minus VAL mean sea ice draft. The Pearson correlation coefficient, <inline-formula><mml:math id="M13" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, was calculated for each station. Bold correlation coefficient values indicate significant correlation at the 95 % confidence level. The bottom row of values show the averages of RMSD, mean difference and correlation coefficient over all stations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1"><?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?></oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center">ENVISATorbits </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Period</oasis:entry>
         <oasis:entry colname="col2">Station</oasis:entry>
         <oasis:entry colname="col3">RMSD</oasis:entry>
         <oasis:entry colname="col4">Mean difference</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M14" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">RMSD</oasis:entry>
         <oasis:entry colname="col7">Mean difference</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M15" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m)</oasis:entry>
         <oasis:entry colname="col4">(m)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(m)</oasis:entry>
         <oasis:entry colname="col7">(m)</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2003–2004</oasis:entry>
         <oasis:entry colname="col2">Lena</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">0.44</oasis:entry>
         <oasis:entry colname="col5">0.25</oasis:entry>
         <oasis:entry colname="col6">0.95</oasis:entry>
         <oasis:entry colname="col7">0.02</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M16" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2007–2008</oasis:entry>
         <oasis:entry colname="col2">Anabar</oasis:entry>
         <oasis:entry colname="col3">0.37</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M17" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17</oasis:entry>
         <oasis:entry colname="col5">0.53</oasis:entry>
         <oasis:entry colname="col6">0.75</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M18" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.30</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Khatanga</oasis:entry>
         <oasis:entry colname="col3">0.54</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.30</oasis:entry>
         <oasis:entry colname="col5">0.43</oasis:entry>
         <oasis:entry colname="col6">1.20</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.60</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2008–2009</oasis:entry>
         <oasis:entry colname="col2">Khatanga</oasis:entry>
         <oasis:entry colname="col3">1.00</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M23" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M24" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry colname="col6">1.06</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M25" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M26" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.73</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.60</oasis:entry>
         <oasis:entry colname="col5"><bold>0.90</bold></oasis:entry>
         <oasis:entry colname="col6">0.92</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M28" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.65</oasis:entry>
         <oasis:entry colname="col8"><bold>0.54</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2009–2010</oasis:entry>
         <oasis:entry colname="col2">Anabar</oasis:entry>
         <oasis:entry colname="col3">0.75</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.84</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M30" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col8">0.20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Khatanga</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M31" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.72</oasis:entry>
         <oasis:entry colname="col5"><bold>0.81</bold></oasis:entry>
         <oasis:entry colname="col6">1.11</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M32" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.73</oasis:entry>
         <oasis:entry colname="col8">0.11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2010–2011</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.64</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M33" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54</oasis:entry>
         <oasis:entry colname="col5"><bold>0.86</bold></oasis:entry>
         <oasis:entry colname="col6">0.84</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M34" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61</oasis:entry>
         <oasis:entry colname="col8"><bold>0.60</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2011–2012</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.69</oasis:entry>
         <oasis:entry colname="col4">0.55</oasis:entry>
         <oasis:entry colname="col5">0.29</oasis:entry>
         <oasis:entry colname="col6">0.65</oasis:entry>
         <oasis:entry colname="col7">0.27</oasis:entry>
         <oasis:entry colname="col8">0.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2003–2012</bold></oasis:entry>
         <oasis:entry colname="col2"><bold>Mean</bold></oasis:entry>
         <oasis:entry colname="col3">0.70</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M35" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>
         <oasis:entry colname="col5">0.44</oasis:entry>
         <oasis:entry colname="col6">0.93</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M36" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37</oasis:entry>
         <oasis:entry colname="col8">0.16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{ESA \mbox{CCI-2} Laptev Sea SIT}?><title>ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> Laptev Sea SIT</title>
      <p id="d1e1444">The ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR shows no significant change of SIT in the Laptev Sea between 2002 and 2017 (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). SIT anomaly was
calculated for each month compared to the mean of the same month over the full period from 2002 to 2017. Anomalies were calculated for each grid point
and averaged over the Laptev Sea (70–81.5<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 100–145<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, enclosed area Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Separating the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CDR into the
two satellite periods shows that the slightly negative, but highly uncertain, overall trend consists of opposing trends in SIT anomaly from the two
<?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data products. While the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> SIT anomaly (2002–2012) decreases by approximately 14 cm per decade, the trend in CS2 SIT anomaly shows an
increase in SIT from 2010 to 2017. In order to investigate the validity of these satellite-derived trends in SIT anomaly, the following section
provides the results of the statistical analysis of the differences between VAL and satellite-derived sea ice draft data from the Laptev Sea. To
determine the agreement between satellite and VAL sea ice draft data, values of root-mean-square difference (RMSD), mean difference and correlation
coefficient (<inline-formula><mml:math id="M39" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) were calculated for each of the individual data sets from t<?pagebreak page2194?>he stations shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. For comparison between
the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 missions, averages of these three statistical parameters were calculated for all stations during the overlap period from November 2010 to March 2012.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Validation of \mbox{CCI-2} products}?><title>Validation of <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><?xmltex \opttitle{Gridded monthly \mbox{CCI-2} sea ice draft}?><title>Gridded monthly <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft</title>
      <p id="d1e1525">Figure <xref ref-type="fig" rid="Ch1.F3"/>a shows the differences between gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and VAL sea ice draft (SAT–VAL difference) for the period from
2003 to 2016. Individual SAT–VAL differences show substantial scatter around zero, but the overall trend (black line) indicates an almost constant mean
difference of approximately <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> m over the full investigation period. The SAT–VAL differences are normally distributed around the mean SAT–VAL
difference of approximately <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> m (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b). Tables <xref ref-type="table" rid="Ch1.T1"/> and <xref ref-type="table" rid="Ch1.T2"/> provide RMSD, mean difference
and correlation coefficients between the gridded <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 and VAL draft data from each station, respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1568">Statistics of the comparison of gridded monthly mean CS2 and CS2orbit draft data with VAL mean sea ice draft for the period from 2010 to 2016. RMSD and mean difference were calculated for the differences of CS2 minus VAL mean sea ice draft. The Pearson correlation coefficient, <italic>r</italic>, was calculated for each station. Bold correlation coefficient values indicate significant correlation at the 95 % confidence level. The bottom row of values show the averages of RMSD, mean difference and correlation coefficient over all stations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">CS2 </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center">CS2orbits </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Period</oasis:entry>
         <oasis:entry colname="col2">Station</oasis:entry>
         <oasis:entry colname="col3">RMSD</oasis:entry>
         <oasis:entry colname="col4">Mean difference</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M42" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">RMSD</oasis:entry>
         <oasis:entry colname="col7">Mean difference</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M43" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m)</oasis:entry>
         <oasis:entry colname="col4">(m)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(m)</oasis:entry>
         <oasis:entry colname="col7">(m)</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2010–2011</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.83</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.68</oasis:entry>
         <oasis:entry colname="col5">0.61</oasis:entry>
         <oasis:entry colname="col6">0.94</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.65</oasis:entry>
         <oasis:entry colname="col8"><bold>0.39</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2011–2012</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.58</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
         <oasis:entry colname="col5">0.29</oasis:entry>
         <oasis:entry colname="col6">0.71</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M47" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>
         <oasis:entry colname="col8"><bold>0.38</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2">1893</oasis:entry>
         <oasis:entry colname="col3">0.23</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>
         <oasis:entry colname="col5">0.71</oasis:entry>
         <oasis:entry colname="col6">0.22</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M49" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
         <oasis:entry colname="col8"><bold>0.82</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Taymyr</oasis:entry>
         <oasis:entry colname="col3">0.68</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53</oasis:entry>
         <oasis:entry colname="col5">0.53</oasis:entry>
         <oasis:entry colname="col6">0.71</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M51" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.47</oasis:entry>
         <oasis:entry colname="col8"><bold>0.43</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Kotelny</oasis:entry>
         <oasis:entry colname="col3">0.61</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41</oasis:entry>
         <oasis:entry colname="col5">0.74</oasis:entry>
         <oasis:entry colname="col6">0.61</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M53" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>
         <oasis:entry colname="col8"><bold>0.68</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Vilkitzkii</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">0.44</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.35</oasis:entry>
         <oasis:entry colname="col8"><bold>0.73</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2">1893</oasis:entry>
         <oasis:entry colname="col3">0.55</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M56" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">0.51</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M57" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.39</oasis:entry>
         <oasis:entry colname="col8"><bold>0.55</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Taymyr</oasis:entry>
         <oasis:entry colname="col3">0.32</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M58" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.27</oasis:entry>
         <oasis:entry colname="col5">0.70</oasis:entry>
         <oasis:entry colname="col6">0.41</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M59" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry colname="col8"><bold>0.54</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2016</oasis:entry>
         <oasis:entry colname="col2">Vilkitzkii1</oasis:entry>
         <oasis:entry colname="col3">0.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M60" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
         <oasis:entry colname="col5">0.10</oasis:entry>
         <oasis:entry colname="col6">0.57</oasis:entry>
         <oasis:entry colname="col7">0.02</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M61" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Vilkitzkii3</oasis:entry>
         <oasis:entry colname="col3">0.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M62" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19</oasis:entry>
         <oasis:entry colname="col5">0.37</oasis:entry>
         <oasis:entry colname="col6">0.58</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry colname="col8">0.21</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2010–2016</bold></oasis:entry>
         <oasis:entry colname="col2"><bold>Mean</bold></oasis:entry>
         <oasis:entry colname="col3">0.48</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.27</oasis:entry>
         <oasis:entry colname="col5">0.50</oasis:entry>
         <oasis:entry colname="col6">0.57</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry colname="col8">0.47</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page2195?><p id="d1e2123">For the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> period RMSD values average 0.70 m, with minimum RMSD of 0.37 m for the Anabar 2007/2008 data and maximum RMSD of 1.0 m for the Khatanga
2008/2009 data. The average mean difference is <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> m, indicating an average underestimation of monthly mean sea ice draft by the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> data. The
<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> underestimation of sea ice draft occurs for all but two data sets. Lena 2003/2004 and Outer Shelf 2011/2012 mean differences are 0.44 and
0.55 m, respectively, indicating a mean overestimation of sea ice draft by the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> product at these stations. The average correlation coefficient
between gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and VAL sea ice draft data is 0.44 for the period from 2003 to 2012. Results from multiple stations show little
or almost no correlation, while correlations are significant at the 95 % confidence level for data from only three stations.</p>
      <p id="d1e2157">Compared to <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>, differences between gridded monthly mean CS2 and VAL sea ice draft show a smaller average RMSD (0.48 m) and a higher mean
correlation coefficient (0.50). The average mean difference of <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula> m is slightly more negative than for <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>. This indicates a stronger mean
underestimation of VAL sea ice draft by CS2 compared to <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>. Mean differences are negative for all stations, showing consistent underestimation by
CS2 data. Although the mean correlation coefficient is larger compared to the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> period, none of the individual coefficients are significant at the
95% confidence level during the CS2 period.</p>
      <p id="d1e2186">By grouping VAL sea ice draft values in 0.2 m bins and comparing them to their corresponding monthly mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (2003 to 2012) and CS2 (2010 to
2016) sea ice draft values, we are able to examine the agreement between gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and VAL drafts along the full range of sea ice drafts that were
measured by the moorings (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Both scatter plots indicate an overestimation by the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products for draft values
below approximately 0.7 m. The magnitude of the overestimation decreases with increasing draft. The best agreement occurs for draft values between
0.7 and about 1.2 m, while monthly mean VAL sea ice draft is underestimated for draft values above approximately 1.3 m. The underestimation
increases with increasing ice draft values. Additionally, Fig. <xref ref-type="fig" rid="Ch1.F4"/> shows that the variability of the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> draft values is
substantially larger within the selected 0.2 m bins compared to CS2 draft values in the same bins. The difference in the performance of <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and
CS2 data is also revealed for the overlap period between the two satellite missions (2010–2012). While mean differences show the same tendency with
<inline-formula><mml:math id="M68" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54 m (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>, Table <xref ref-type="table" rid="Ch1.T1"/>) and <inline-formula><mml:math id="M69" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.68 m (CS2, Table <xref ref-type="table" rid="Ch1.T2"/>) for the 2010–2011 Outer Shelf data sets, they
disagree considerably for the 2011–2012 period (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?>: 0.55 m, CS2: <inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02 m).</p>
      <p id="d1e2248">In order to complement the results shown for the comparison between gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and mean VAL data, we conducted an additional analysis with
satellite data products that are based on the measurements from the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 missions and the gridded CS2 data but provide higher temporal
resolution of sea ice draft than the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> record. RMSD, mean difference and correlation coefficients were calculated for the comparison of
sea ice draft from ENVISATorbit (Table <xref ref-type="table" rid="Ch1.T1"/>) and CS2orbit (Table <xref ref-type="table" rid="Ch1.T2"/>) trajectory data and merged CS2SMOS
(Table <xref ref-type="table" rid="Ch1.T3"/>) data with VAL sea ice draft data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2272">Scatter plot comparing gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft to VAL sea ice draft (black crosses). Panel <bold>(a)</bold> shows the comparison for the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> period superimposed by the mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> draft per 0.2 m VAL data bin, while panel <bold>(b)</bold> shows the same for the CS2 data and period. Error bars indicate <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 standard deviation of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data within the specific 0.2 m bin.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f04.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2313">Mean sea ice drafts per 0.2 m VAL data bin from <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (filled blue circles), ENVISATorbit (blue circles), CS2 (filled orange circles), CS2orbit (orange circles) and CS2SMOS (filled yellow circles) data products.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f05.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2330">Statistics of the comparison of gridded weekly mean CS2SMOS draft data with VAL mean sea ice draft for the period from 2010 to 2016. RMSD and mean difference were calculated for the differences of CS2SMOS minus VAL mean sea ice draft. The Pearson correlation coefficient, <inline-formula><mml:math id="M72" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, was calculated for each station. Bold correlation coefficient values indicate significant correlation at the 95 % confidence level. The bottom row of values show the averages of RMSD, mean difference and correlation coefficient over all stations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center">CS2SMOS </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Period</oasis:entry>
         <oasis:entry colname="col2">Station</oasis:entry>
         <oasis:entry colname="col3">RMSD</oasis:entry>
         <oasis:entry colname="col4">Mean difference</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M73" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m)</oasis:entry>
         <oasis:entry colname="col4">(m)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2010–2011</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.88</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.70</oasis:entry>
         <oasis:entry colname="col5">0.41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2011–2012</oasis:entry>
         <oasis:entry colname="col2">Outer Shelf</oasis:entry>
         <oasis:entry colname="col3">0.48</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
         <oasis:entry colname="col5"><bold>0.72</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013–2014</oasis:entry>
         <oasis:entry colname="col2">1893</oasis:entry>
         <oasis:entry colname="col3">0.32</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17</oasis:entry>
         <oasis:entry colname="col5"><bold>0.70</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Taymyr</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.76</oasis:entry>
         <oasis:entry colname="col5"><bold>0.51</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Kotelny</oasis:entry>
         <oasis:entry colname="col3">0.73</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.64</oasis:entry>
         <oasis:entry colname="col5"><bold>0.92</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Vilkitzkii</oasis:entry>
         <oasis:entry colname="col3">0.29</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col5"><bold>0.78</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2015</oasis:entry>
         <oasis:entry colname="col2">1893</oasis:entry>
         <oasis:entry colname="col3">0.46</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M80" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.42</oasis:entry>
         <oasis:entry colname="col5"><bold>0.80</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Taymyr</oasis:entry>
         <oasis:entry colname="col3">0.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.36</oasis:entry>
         <oasis:entry colname="col5"><bold>0.77</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014–2016</oasis:entry>
         <oasis:entry colname="col2">Vilkitzkii1</oasis:entry>
         <oasis:entry colname="col3">0.50</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24</oasis:entry>
         <oasis:entry colname="col5">0.10</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Vilkitzkii3</oasis:entry>
         <oasis:entry colname="col3">0.59</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41</oasis:entry>
         <oasis:entry colname="col5"><bold>0.42</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><bold>2010–2016</bold></oasis:entry>
         <oasis:entry colname="col2"><bold>Mean</bold></oasis:entry>
         <oasis:entry colname="col3">0.56</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.39</oasis:entry>
         <oasis:entry colname="col5">0.61</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><?xmltex \opttitle{Orbit \mbox{CCI-2} sea ice draft}?><title>Orbit <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft</title>
      <p id="d1e2693">While the average RMSD, mean difference and correlation coefficients are very similar for the VAL data comparison to gridded CS2 and CS2orbit, almost
all stations show significant (at the 95 % confidence level) correlations between CS2orbit and VAL sea ice draft
(Table <xref ref-type="table" rid="Ch1.T2"/>). ENVISATorbit data show a higher average RMSD, stronger average underestimation of VAL sea ice draft and much lower
average correlation with VAL sea ice drafts compared to the gridded <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> data (Table <xref ref-type="table" rid="Ch1.T1"/>). This suggests that the CS2 component
of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CDR is superior to the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> sea ice draft data. It also confirms the inter-mission biases between <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 that were published
by <xref ref-type="bibr" rid="bib1.bibx41" id="text.51"/>.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2196?><sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><?xmltex \opttitle{Intercomparison of \mbox{CCI-2} and merged CS2SMOS sea ice draft}?><title>Intercomparison of <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and merged CS2SMOS sea ice draft</title>
      <p id="d1e2734">The comparison of weekly CS2SMOS and VAL sea ice draft data reveals the largest average correlation coefficient. On the other hand, the CS2SMOS and
VAL draft comparison also shows the largest average underestimation of any of the presented satellite data products. Figure <xref ref-type="fig" rid="Ch1.F5"/> shows
the comparison of the agreement between the gridded and orbit <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and the CS2SMOS data products with the corresponding VAL sea ice draft data. While
the overall tendency of the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products to overestimate ice draft for thin ice and increasingly underestimate thickening ice is confirmed
by <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> orbit and CS2SMOS data, a general offset between the individual satellite products is visible for most of the selected 0.2 m VAL data
bins. While both <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> draft data sets indicate the thickest drafts over the full thickness range, gridded CS2 and CS2orbit agre<?pagebreak page2197?>e rather well. CS2SMOS
data show the smallest draft values throughout the entire thickness range compared to the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products. The overestimation of sea ice draft values
below 0.7 m that is apparent in the gridded and orbit <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data is minimized by the impact of SMOS on the merged CS2SMOS product. The Laptev Sea is
dominated by newly formed and thinner FYI, and accordingly the gridded merged product is dominated by SMOS data. Consequently the underestimation of sea
ice draft with increasing thickness is largest for CS2SMOS because of the larger influence of SMOS data on the final SIT values in this region.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Summary</title>
      <p id="d1e2772">In summary, the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products underestimate monthly mean sea ice draft in the Laptev Sea by an average of <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> m (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula> m) during the
<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (CS2) period. This underestimation by the monthly mean gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products is not a constant bias. The agreement between gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and
VAL sea ice drafts is in fact dependent on the thickness of the observed ice. Thin ice (drafts <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> m) is overestimated by the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>
products and thicker ice (drafts <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> m) is increasingly underestimated with increasing ice draft. The overall spread in SAT–VAL difference
values is smaller for the CS2 period. ENVISATorbit and CS2orbit and merged CS2SMOS sea ice draft data, which provide higher temporal resolution than
the gridded monthly mean products, confirm these results. It has to be noted that sea ice draft values from the four presented satellite products
deviate considerably from one another.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Comparability of satellite and sonar measurements</title>
      <p id="d1e2852"><?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 average mean differences to VAL sea ice draft are of similar magnitude, which indicates a consistent average underestimation of Laptev
Sea sea ice draft from the gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CDR between 2003 and 2016. In order to discuss these results and most importantly their meaning
for the apparent trends in <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT in the Laptev Sea (Fig. <xref ref-type="fig" rid="Ch1.F2"/>), the deficiencies of the VAL and <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data products have to be
examined.</p>
      <p id="d1e2873">The comparison between gridded satellite products and point measurements from moorings is by default challenging. A significant difference between
sonar and altimetry-based measurements is the parameters that are measured. While moored sonars provide sea ice draft data, radar altimeters infer
SIT from measurements of freeboard. Altimeter freeboard is converted into SIT based on parametrizations of snow depth and constant densities of snow
and sea ice. Snow depth and snow and sea ice density are parameters that are not routinely measured and therefore are based on climatologies: modified
Warren snow climatology and Warren snow water equivalent climatology <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx44" id="paren.52"/>. These assumptions contribute to the uncertainties
of the final SIT data records and consequently to the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft values that are calculated for the presented comparison to VAL sea ice
draft. Additionally, both measurements take place on completely different spatial scales. Moored sonars sample a single point throughout the
respective sampling period. In contrast, the location of radar altimetry measurements is defined by footprints of the instruments and the trajectories
of the satellites. Additionally, the final <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data product is gridded to achieve Arctic-wide coverage, which means that variability within a
25 km <inline-formula><mml:math id="M89" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25 km grid cell is not resolved. These fundamental differences between the compared measurement principles have to be considered
when comparing the presented satellite and sonar-based sea ice draft data sets. Additionally, VAL and <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> time series are derived from multiple
different instruments during the investigated period from 2003 to 2016. Accordingly, each of these individual records consists of data from different
measurement configurations themselves.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2901"><bold>(a)</bold> Difference (SAT–VAL difference) between gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (CS2) and VAL ice drafts in circles (triangles) for thickness ranges from 0 to 1 m (black), 1 to 2 m (blue) and 2 to 3 m (red). Linear trends were computed for each of the thickness ranges. <bold>(b)</bold> Distributions of 0 to 1 m (black), 1 to 2 m (blue) and 2 to 3 m (red) thickness range SAT–VAL differences.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Stability of the \mbox{CCI-2} SIT CDR}?><title>Stability of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDR</title>
      <p id="d1e2932">In general, the stability of the satellite records is defined as the constancy of the SAT–VAL differences over time. However, the fact that the full
VAL data record consists of multiple 1- to 2-year sea ice draft time series from various stations all over the Laptev Sea rather than a single time
series from one location inhibits us from assessing an overall trend in sea ice draft over the full VAL period. Therefore, the observed
near-consistent average mean differences over the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2 periods (Fig. <xref ref-type="fig" rid="Ch1.F3"/>) do not provide enough proof of a stable
performance of the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data. SAT–VAL differences are dependent on the thickness of the ice that is sampled, which means in order to
investigate the stability of the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> records, SAT–VAL differences need to be analysed for different thickness ranges. We therefore consider
the presented gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> draft record stable only if the SAT–VAL differences within the selected thickness ranges stay constant over time.</p>
      <p id="d1e2953">The limiting factor for the analysis of temporal changes in the SAT–VAL difference from different thickness ranges is, again, the small number of data
points and the comparably short observational period. The following thickness ranges were selected in order to provide a reasonable number of data
points for the analysis of trends: 0 to 1, 1 to 2 and 2 to 3 m. For the thickness ranges between 0 and 1 and 1 and 2 m, negative trends are
visible while a positive trend is apparent for the thickness range from 2 to 3 m (Fig. <xref ref-type="fig" rid="Ch1.F6"/>). However, the coefficients of
determination, <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, for all three trends are very small, indicating that linear trends poorly represent the Laptev Sea SAT–VAL difference and are in
fact not suitable to explain the temporal development of SAT–VAL differences over time. Nevertheless they allow us to investigate the stability of the
mean difference for different thickness ranges. The trends indicate a decrease (increase) in mean difference for the thickness ranges 0 to 1 and 1
to 2 m (2 to 3 m). All three trends have large uncertainties and only one<?pagebreak page2198?> is significant at the 95 % confidence level (1 to 2 m thickness range,
<inline-formula><mml:math id="M91" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values below 0.05). These trends are dependent on the length of the observed time series, the selected thickness ranges and in the
presented case the inter-mission biases between the two <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products that combine for the full gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft CDR. The
above-mentioned <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> overestimation of freeboard in FYI-dominated regions like the Laptev Sea leads to an overestimation of ice draft compared to
CS2. SAT–VAL differences during the overlap period (2010 to 2012) show larger differences between satellite and VAL draft for <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> than for CS2
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). This tendency of the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> data to generally provide thicker ice in FYI regions than CS2 can also be seen in
Fig. <xref ref-type="fig" rid="Ch1.F4"/> and might explain the negative trends observed in the 0 to 1 and 1 to 2 m thickness ranges
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>). The trend for the 2 to 3 m thickness range is less conclusive, which is attributed to the small number of data
points compared to the other two thickness ranges and the thickness dependency of the SAT–VAL differences that strongly increases for thickness values
between 2 and 3 m.</p>
      <p id="d1e3003">Based on this analysis we consider the trends within the three thickness ranges to be caused by the limited number of data points, the selected
thickness ranges, and the inter-mission bias between <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2, and we consider the overall gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> CDR to be stable for the investigated period from
2003 to 2016.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e3017">Time series of CS2 (black circles) and CS2SMOS (blue diamonds) sea ice draft compared to ULS-derived mean (orange) and modal (green) sea ice draft from Taymyr station (2013–2014). Sea ice passing the mooring site was tracked using the Lagrangian ice tracking tool ICETrack <xref ref-type="bibr" rid="bib1.bibx31" id="paren.53"/>. Based on the NSIDC Polar Pathfinder sea ice motion product <xref ref-type="bibr" rid="bib1.bibx51" id="paren.54"/>, accumulated convergence (blue) along the daily sea ice trajectories was calculated.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2189/2020/tc-14-2189-2020-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Taymyr 2013/2014 case</title>
      <p id="d1e3040">In order to support the interpretation and underline the current deficiencies of satellite-derived sea ice draft data in the Laptev Sea, we present
a case study based on the 2013/2014 ULS deployment at Taymyr station (Fig. <xref ref-type="fig" rid="Ch1.F7"/>).</p>
      <p id="d1e3045">The Taymyr station is located in the western Laptev Sea (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). The region is dominated by offshore winds that open coastal
polynyas. The ice formed in these polynyas is transported northwards <xref ref-type="bibr" rid="bib1.bibx28" id="paren.55"/> and passes by the mooring site. Changes in wind direction can
lead to temporary closing of the polynyas and convergence towards the coast or fast ice. Sea ice piling up against the south-western coast is deformed
and increases in thickness.</p>
      <p id="d1e3053">We utilized a Lagrangian tracking tool, ICETrack <xref ref-type="bibr" rid="bib1.bibx31" id="paren.56"/>, to determine the trajectories of the ice that was passing by the
mooring. ICETrack has been used in multiple studies to determine sea ice source regions, pathways and thickness changes
<xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx42 bib1.bibx33 bib1.bibx34" id="paren.57"/> and utilizes sea ice motion information from a combination of three different products: motion
estimates from scatterometer and radiometer data from the Center for Satellite Exploitation and Research <xref ref-type="bibr" rid="bib1.bibx15" id="paren.58"/>, the OSI-405-c motion
product provided by the Ocean and Sea Ice Satellite Application Facility <xref ref-type="bibr" rid="bib1.bibx36" id="paren.59"/>, and Polar Pathfinder Daily Motion Vectors from the
National Snow and Ice Data Center (NSIDC) <xref ref-type="bibr" rid="bib1.bibx51" id="paren.60"/>. The tracking provides us with information about the source regions of the ice
measured by the ULS and the atmospheric and oceanic conditions the ice experienced on its trajectory to the mooring location. The NSIDC's Polar
Pathfinder sea ice motion product <xref ref-type="bibr" rid="bib1.bibx51" id="paren.61"/> was used to estimate convergence along the trajectories of the Taymyr sea ice. Analysing
daily convergence along the trajectories allowed us to calculate accumulated convergences over each track. Accumulated convergence is a measure for
the total amount of deformation the ice that passed by the Taymyr mooring has experienced before it reached the mooring site.</p>
      <p id="d1e3075">The daily mean ULS draft time series from the Taymyr station indicates a consistent increase in sea ice draft between January and March 2014. Since
the Laptev Sea is dominated by newly formed FYI, the observed daily mean draft values cannot be explained by thermodynamic growth only. An additional
dynamic influence on the ice is confirmed by the increase in accumulated convergence along the trajectories over the same period from January to March
2014. When comparing the daily mean ULS time series to the gridded<?pagebreak page2199?> monthly mean CS2 draft time series, it is apparent that the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> product is not
able to reproduce the dynamic increase in sea ice draft. Rather than showing the mean sea ice draft, CS2 data show better agreement with the modal sea
ice draft derived from the ULS (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). A similar result is visible for the weekly draft values from CS2SMOS.</p>
      <p id="d1e3085">Table <xref ref-type="table" rid="Ch1.T4"/> shows RMSD, mean difference and correlation coefficients for the comparison between gridded CS2, CS2orbit and CS2SMOS with
modal sea ice draft data from the ULS moorings (Taymyr and 1893) for the 2013/2014 and 2014/2015 periods. Gridded CS2, CS2orbit and CS2SMOS show small
mean differences to modal sea ice drafts in the Laptev Sea. Mean correlation coefficients between modal ULS and mean satellite data are between 0.61
and 0.77 and significant at the 95 % confidence level for the higher-temporal-resolution satellite products (CS2orbit and CS2SMOS). Due to the low
temporal resolution of the ADCP measurements, reliable modal draft values could not be calculated. Therefore the comparison between mean satellite and
modal VAL draft values is limited to the 2013–2015 period when ULS data are available.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3093">Statistics for the comparison between gridded CS2, CS2orbit and gridded CS2SMOS mean sea ice draft with modal Taymyr and 1893 ULS sea ice draft from the 2013/2014 and 2014/2015 periods. Due to the low temporal resolution of the ADCP-derived VAL data, modal sea ice draft was only calculated for ULS data. RMSD and mean difference were calculated for the difference between mean satellite minus modal VAL data. The Pearson correlation coefficient, <italic>r</italic>, was calculated for each of the four VAL data sets. The values show the mean of RMSD, mean difference and <italic>r</italic> over the four VAL data sets. Bold mean correlation coefficients indicate significance of all four correlation coefficients at the 95 % confidence level. None of the correlations were significant for the CS2 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"/>
         <oasis:entry colname="col2">CS2</oasis:entry>
         <oasis:entry colname="col3">CS2orbit</oasis:entry>
         <oasis:entry colname="col4">CS2SMOS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">RMSD (m)</oasis:entry>
         <oasis:entry colname="col2">0.25</oasis:entry>
         <oasis:entry colname="col3">0.30</oasis:entry>
         <oasis:entry colname="col4">0.21</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean difference (m)</oasis:entry>
         <oasis:entry colname="col2">0.05</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M93" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.61</oasis:entry>
         <oasis:entry colname="col3"><bold>0.63</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>0.77</bold></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3194">Another observation from this case study and the comparison of satellite and VAL sea ice draft in general concerns the differences in length of the
time series. While satellite data are only available from October and through April, ULS and ADCP are able to measure sea ice draft even after melt
onset. It is known that warm snow and ice as well as the formation of melt ponds prevent CS2 retrieval of Arctic SIT between May and September
<xref ref-type="bibr" rid="bib1.bibx45" id="paren.62"/>. That means that for investigations into the sea ice cover in the Laptev Sea it is important to be aware that sea ice can persist
during the summer melt season when the presented satellites do not provide SIT data.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3210">The ESA's <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> gridded SIT CDR covers a period from 2002 to 2017 and has been validated mainly for MYI-dominated regions around the Arctic
Ocean. These validation efforts over MYI indicated that CS2 is representing thicker ice rather well, while <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> shows a general tendency towards
overestimating thin and under<?pagebreak page2200?>estimating thicker sea ice <xref ref-type="bibr" rid="bib1.bibx30" id="paren.63"/>. The presented in situ observations of sea ice draft from Laptev Sea ULS
and ADCP moorings provide an additional important validation data set from one of the most under-sampled and FYI-dominated regions of Arctic sea ice.</p>
      <p id="d1e3224">The comparisons between sea ice draft data from ULS and upward-looking ADCPs with gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> sea ice draft, higher-resolution <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?>
orbit trajectory and the merged CS2SMOS data in the Laptev Sea indicate the following.
<list list-type="bullet"><list-item>
      <p id="d1e3237">The agreement between in situ sonar and satellite data is very sensitive to the thickness of the sampled sea ice.</p></list-item><list-item>
      <p id="d1e3241">Sea ice drafts below 0.7 m are overestimated, while sea ice drafts above approximately 1.3 m are increasingly underestimated by all considered
satellite data products.</p></list-item><list-item>
      <p id="d1e3245">The presented satellite products represent the same VAL sea ice drafts differently.</p></list-item></list>
The Taymyr 2013/2014 case study highlights the current deficiencies of the satellite-derived SIT records in the FYI- dominated Laptev Sea region.
<list list-type="bullet"><list-item>
      <p id="d1e3252">Rather than representing mean sea ice draft, the considered satellite products show better agreement with modal sea ice draft.</p></list-item><list-item>
      <p id="d1e3256">Significant, lasting deformation events that lead to large mean sea ice drafts are not represented in any of the shown satellite data products.</p></list-item></list></p>
      <p id="d1e3259">These results indicate distinct differences and deficiencies in the performance of the ESA <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT products over FYI-and MYI-dominated regions that
require further investigations. The presented stability analysis of SAT–VAL draft differences in the Laptev Sea reveals that the agreement between
gridded monthly mean <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> and VAL sea ice draft data is dependent on the thickness of the ice that is sampled, but mean differences are consistent
over time for similar thicknesses. Linear changes in mean differences for individual thickness ranges are attributed to inter-mission bias in SIT
representation between the two missions (<?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and CS2) composing the gridded <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> record and the comparably small number of data points that were
available for the individual thickness ranges.</p>
      <p id="d1e3278">Applying these results to the presented Laptev Sea <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT anomaly trends (Fig. <xref ref-type="fig" rid="Ch1.F2"/>), we conclude that the trends of the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> and
CS2 component are not caused by a change in the performance of the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> products over time but rather actual changes in SIT in this region. However,
due to the high uncertainties of the data products and the comparably short sampling periods, these trends need to be investigated further. Although
the stability analysis provides confidence in the <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT CDRs, it has to be noted that satellite-derived SIT data are not sufficient to explain
overall changes in SIT in the Laptev Sea. In agreement with <xref ref-type="bibr" rid="bib1.bibx17" id="text.64"/> we conclude that current satellite SIT data allow examination of changes
in modal SIT and therefore the thermodynamic component of the changes in the Laptev Sea; however, dynamic changes in SIT are not reproduced by the
satellite CDRs. Therefore, improvements in the processing of radar altimetry data are required for the estimation of surface roughness but also for
the parametrizations of snow depth and densities of snow and ice. Unknown snow properties and depth distribution are a major source for uncertainty in
the freeboard retrieval process. Uncertainties in freeboard as well as slight changes in the utilized average ice column densities translate into the
final SIT product. As suggested by <xref ref-type="bibr" rid="bib1.bibx56" id="text.65"/> ice type densities should be replaced by thickness-dependent ice densities to account for the
currently unknown density variations due to deformation processes. Furthermore, continuous long-term SIT measurements in the Laptev Sea are required
to provide much needed information on deformation processes. However, with limited access to the vastly under-sampled Russian shelf regions, the
satellite-derived SIT CDRs remain a crucial source of long-term SIT data for this region. Their improvement as well as large-scale observations of
dynamic changes of SIT redistribution and model simulations is  required to investigate the effects governing SIT changes in the Laptev Sea.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3310">ULS (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.899275" ext-link-type="DOI">10.1594/PANGAEA.899275</ext-link>, <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.66"/>) and ADCP-derived daily mean sea ice draft time series (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.912927" ext-link-type="DOI">10.1594/PANGAEA.912927</ext-link>, <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.67"/>) are available at the Data
Publisher for Earth &amp; Environmental Science PANGAEA.</p>

      <p id="d1e3325">ESA Sea Ice Climate Change Initiative (Sea_Ice_cci): Northern Hemisphere sea ice thickness from the <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> satellite (<ext-link xlink:href="https://doi.org/10.5285/f4c34f4f0f1d4d0da06d771f6972f180" ext-link-type="DOI">10.5285/f4c34f4f0f1d4d0da06d771f6972f180</ext-link>, <xref ref-type="bibr" rid="bib1.bibx25" id="altparen.68"/>) and
from the CryoSat-2 satellite (<ext-link xlink:href="https://doi.org/10.5285/ff79d140824f42dd92b204b4f1e9e7c2" ext-link-type="DOI">10.5285/ff79d140824f42dd92b204b4f1e9e7c2</ext-link>,  <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.69"/>) on a monthly grid (L3C) v2.0 are available from the Centre for Environmental Data Analysis database.</p>

      <p id="d1e3345">ESA Sea Ice Climate Change Initiative (Sea_Ice_cci): Northern Hemisphere sea ice thickness from <?xmltex \hack{\mbox\bgroup}?>ENVISAT<?xmltex \hack{\egroup}?> (<ext-link xlink:href="https://doi.org/10.5285/54e2ee0803764b4e84c906da3f16d81b" ext-link-type="DOI">10.5285/54e2ee0803764b4e84c906da3f16d81b</ext-link>, <xref ref-type="bibr" rid="bib1.bibx26" id="altparen.70"/>) and
CryoSat-2 (<ext-link xlink:href="https://doi.org/10.5285/5b6033bfb7f241e89132a83fdc3d5364" ext-link-type="DOI">10.5285/5b6033bfb7f241e89132a83fdc3d5364</ext-link>, <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.71"/>) on satellite swath (L2P) v2.0 is available from the Centre for Environmental Data Analysis database.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3368">HJB carried out the analysis, processed ULS and ADCP data, and wrote the manuscript. All authors contributed to the discussion and
provided input during the writing process. In addition to their input to the manuscript, TK conducted the backward-tracking of sea ice from the
individual mooring sites, SH provided <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> data and conducted the analysis of <?xmltex \hack{\mbox\bgroup}?>CCI-2<?xmltex \hack{\egroup}?> SIT changes in the Laptev Sea, and RR contributed CS2SMOS SIT
data to the analysis. JH and MAJ deployed and recovered the moorings during numerous expeditions to the Laptev Sea.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3382">Author Christian Haas is a member of the editorial board of the <italic>The Cryosphere</italic>. All other authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3391">We would like to thank all the people involved in the various expeditions into the Laptev Sea.</p><p id="d1e3393">The 2013/2014 ULS data sets were processed by ASL Environmental Sciences Inc., Viktoria, BC, Canada. ASL also provided valuable support and toolboxes for the processing of the 2014/2015 ULS data sets. Additionally, the ECMWF provided ERA-Interim reanalysis surface pressure data (Dee et al., 2011) that were valuable for the ULS processing.</p><p id="d1e3395">The production of the merged CryoSat–SMOS sea ice thickness data (Ricker et al., 2017)  was funded by the ESA project SMOS and CryoSat-2 Sea Ice Data Product Processing and Dissemination Service, and data from 2010 to 2016 were obtained from AWI.</p><p id="d1e3397">We would like to use the opportunity to thank the three anonymous reviewers for their valuable suggestions and constructive comments during the review process. We would also like to thank our editor John Yackel and the team at <italic>The Cryosphere</italic> for their support and quick processing of our manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3405">This study was carried out as part of the BMBF-funded Russian–German research cooperation QUARCCS (grant no. 03F0777A). Moorings were deployed and recovered within the framework of the Russian–German project CATS/Transdrift (grant no. 63A0028B).
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The article processing charges for this open-access <?xmltex \hack{\newline}?> publication  were covered by a Research <?xmltex \hack{\newline}?> Centre of the Helmholtz Association.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3418">This paper was edited by John Yackel and reviewed by three anonymous referees.</p>
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    <!--<article-title-html>Satellite-based sea ice thickness changes in the Laptev Sea from 2002 to 2017: comparison to mooring observations</article-title-html>
<abstract-html><p>The gridded sea ice thickness (SIT) climate data record (CDR) produced by the European Space Agency (ESA) Sea Ice Climate Change Initiative Phase 2
(<span style="" class="text">CCI-2</span>) is the longest available, Arctic-wide SIT record covering the period from 2002 to 2017. SIT data are based on radar altimetry measurements of
sea ice freeboard from the Environmental Satellite (<span style="" class="text">ENVISAT</span>) and CryoSat-2 (CS2). The <span style="" class="text">CCI-2</span> SIT has previously been validated with in situ
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regions of the Arctic. Here we present the Laptev Sea <span style="" class="text">CCI-2</span> SIT record from 2002 to 2017 and use newly acquired ULS and upward-looking acoustic
Doppler current profiler (ADCP) sea ice draft (VAL) data for validation of the gridded <span style="" class="text">CCI-2</span> and additional satellite SIT products. The ULS and ADCP
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comparison of VAL sea ice draft data with gridded monthly mean and orbit trajectory <span style="" class="text">CCI-2</span> data, as well as merged CryoSat-2–SMOS (CS2SMOS) sea ice
draft, shows that the agreement between the satellite and VAL draft data strongly depends on the thickness of the sampled ice. Rather than providing
mean sea ice draft, the considered satellite products provide modal sea ice draft in the Laptev Sea. Ice drafts thinner than 0.7&thinsp;m are
overestimated, while drafts thicker than approximately 1.3&thinsp;m are increasingly underestimated by all satellite products investigated for this
study. The tendency of the satellite SIT products to better agree with modal sea ice draft and underestimate thicker ice needs to be considered for
all past and future investigations into SIT changes in this important region. The performance of the <span style="" class="text">CCI-2</span> SIT CDR is considered stable over time;
however, observed trends in gridded <span style="" class="text">CCI-2</span> SIT are strongly influenced by the uncertainties of <span style="" class="text">ENVISAT</span> and CS2 and the comparably short investigation
period.</p></abstract-html>
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