<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-14-1519-2020</article-id><title-group><article-title>An enhancement to sea ice motion and age products at the National Snow and Ice Data Center (NSIDC)</article-title><alt-title>Enhancement to sea ice motion and age products at NSIDC</alt-title>
      </title-group><?xmltex \runningtitle{Enhancement to sea ice motion and age products at NSIDC}?><?xmltex \runningauthor{M.~A. Tschudi et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Tschudi</surname><given-names>Mark A.</given-names></name>
          <email>mark.tschudi@colorado.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Meier</surname><given-names>Walter N.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2857-0550</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Stewart</surname><given-names>J. Scott</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>CCAR, Department of Aerospace Engineering Sciences, University of
Colorado Boulder, UCB 431, <?xmltex \hack{\break}?>Boulder, CO 80309, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Snow and Ice Data Center, CIRES, University of
Colorado Boulder, UCB 449, Boulder, CO 80309, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mark A. Tschudi (mark.tschudi@colorado.edu)</corresp></author-notes><pub-date><day>7</day><month>May</month><year>2020</year></pub-date>
      
      <volume>14</volume>
      <issue>5</issue>
      <fpage>1519</fpage><lpage>1536</lpage>
      <history>
        <date date-type="received"><day>25</day><month>February</month><year>2019</year></date>
           <date date-type="rev-request"><day>28</day><month>February</month><year>2019</year></date>
           <date date-type="rev-recd"><day>10</day><month>March</month><year>2020</year></date>
           <date date-type="accepted"><day>2</day><month>April</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="d1e106">A new version of sea ice motion and age products includes several
significant upgrades in processing, corrects known issues with the previous
version, and updates the time series through 2018, with regular updates planned for the future. First, we provide a history
of these NASA products distributed at the National Snow and Ice Data Center.
Then we discuss the improvements to the algorithms, provide validation
results for the new (Version 4) and older versions, and intercompare the two.
While Version 4 algorithm changes were significant, the impact on the
products is relatively minor, particularly for more recent years. The
changes in Version 4 reduce motion biases by <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.01 to 0.02 cm s<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and error standard deviations by <inline-formula><mml:math id="M3" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.3 cm s<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Overall, ice speed increased in
Version 4 over Version 3 by 0.5 to 2.0 cm s<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over most of the time series.
Version 4 shows a higher positive trend for the Arctic of 0.21 cm s<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade
compared to 0.13 cm s<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade for Version 3. The new version of ice age
estimates indicates more older ice than Version 3, especially earlier in the
record, but similar trends toward less multiyear ice. Changes in sea ice
motion and age derived from the product show a significant shift in the
Arctic ice cover, from a pack with a high concentration of older ice to a sea ice cover
dominated by first-year ice, which is more susceptible to summer melt. We
also observe an increase in the speed of the ice over the time series <inline-formula><mml:math id="M8" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 30 years, which has been shown in other studies and is anticipated with the
annual decrease in sea ice extent.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e202">Arctic sea ice conditions have undergone significant changes in recent years,
with dramatic reductions in the overall ice extent, ice age, and ice thickness. The decline in Arctic
sea ice extent is one of the better-known and more striking examples of a
changing Arctic (e.g., Meier et al., 2014; Comiso et al., 2008,
2012, 2017a; Stroeve et al., 2011, 2014). Recent estimates indicate that September Arctic
sea ice extent has decreased by approximately 13 % per decade since 1979,
with record or near-record minimum extents occurring several times in the
last few years (e.g., Perovich et al., 2019). In the Antarctic, the trends are smaller and
there is higher interannual variability (e.g., Parkinson and Cavalieri, 2012); overall the Antarctic trends are slightly positive, but with strong regional
variability (Comiso et al., 2017b).</p>
      <?pagebreak page1520?><p id="d1e205">Data on sea ice thickness are far less comprehensive, and it is more
difficult to determine solid quantitative thickness or volume trends.
However, there is broad evidence, from observations (e.g., Kwok, 2018) and
models (e.g., Stroeve et al., 2014), that Arctic sea ice thinning trends are even stronger
than the extent decrease. One explanation for the stronger decline in ice thickness is
the preferential loss of thicker, old ice in comparison with relatively thin
first-year ice. For example, Johannessen et al. (1999) and Comiso et al. (2008, 2012) noted that the decline in
multiyear sea ice was roughly twice that of first-year ice. In a study
examining ice age since the early 1980s, Maslanik et al. (2011) found continued recent loss
of the oldest ice types, which accelerated starting in 2005. This trend has
continued through 2019 (Perovich et al., 2019; Kwok, 2018).<?xmltex \hack{\newpage}?></p>
      <p id="d1e209">A continued decline in the sea ice cover and the shift from thick multiyear
ice (MYI) to more easily navigable first-year ice (FYI) arguably will have
one of the biggest impacts on humans and the Arctic environment (e.g.,
Pizzolato et al., 2016). In particular, the prospect of new shipping lanes, extraction of oil and gas from previously inaccessible regions, and increased national
security concerns associated with easier and more accessible Arctic waters
have already been identified as significant economic and cultural changes
related to the sea ice cover (Huntington et al., 2007). More open water along the coast will
also add to the risk of storm surge and coastal erosion (Vermaire et al., 2013; Francis et al., 2006,
2005; Lynch et al., 2004), and there is some evidence that reductions in sea ice may affect
locations far from the Arctic (e.g., Overland, 2016), manifesting particularly through extreme weather in the
mid-latitudes (e.g., Cohen at al., 2014; Francis and Vavrus, 2012).</p>
      <p id="d1e212">The distribution of the age of Arctic sea ice contributes to the
vulnerability of the ice cover during the melt season because older ice is
on average thicker than younger ice (Maykut, 1986; Tucker et al., 2001; Yu et al., 2004; Tschudi et al., 2016), at least
in terms of thermodynamic growth over several years. Younger ice is more
susceptible to deformation and melts out more readily during the summer,
whereas older ice is more likely to remain through the melt season if it does not
advect out of the Arctic Ocean. However, the thickness increase with age
diminishes over time so that as sea ice gets older (Maslanik et al., 2011), its resiliency
against melt does not continually increase. The pre-melt distribution of ice
age may therefore serve as a descriptive predictor of how much sea ice will
disappear during the melt season and indicate where summer ice loss is more
likely to occur.
Ice thickness observations are becoming more widely and readily available
from satellite altimeters such as NASA's Ice, Cloud, and land Elevation
Satellite (ICESat; Kwok and Cunningham, 2008) and ESA's CryoSat-2 (Laxon et al., 2013; Kurtz et al., 2014). However,
these satellite-derived data cover a limited time span. ICESat collected
twice-yearly estimates from 2003 to 2008, and CryoSat-2, launched in 2010, produces complete Arctic-wide fields monthly (Tilling et al., 2016). The laser
altimeter on NASA ICESat-2, launched in September 2018 (Markus et al., 2017), provides
a significant new source of snow <inline-formula><mml:math id="M9" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ice freeboard and potentially thickness.
Along with satellite-borne altimeters, NASA's Operation IceBridge has
yielded thickness estimates during 2009 through 2019 in selected regions
(e.g., Kurtz et al., 2013). Submarine upward-looking sonar has also been used to
estimate thickness sporadically since the 1950s over a selected region in
the central Arctic. These data have been connected to the satellite
altimetry record (Kwok, 2018) to create an intermittent long-term time series
over part of the Arctic. While these direct ice thickness estimates are
useful, such products lack the long-term and/or the basin-wide coverage that
is available from the multi-decadal sea ice age record.</p>
      <p id="d1e223">In contrast, sea ice motion can be used to track parcels in a Lagrangian
sense and record their age. Several sea ice motion products have been
developed by various groups. Most products use some sort of motion-tracking
approach to estimate the drift of features or patterns in satellite images.
The EUMETSAT Ocean and Sea Ice Satellite Application Facility (OSI SAF) has
two products. One is a low-resolution (62.5 km spacing) product that derives 2 d motions based on passive-microwave and
scatterometer inputs (Lavergne et al., 2010). A medium-resolution OSI SAF product based on
visible and
infrared sensor inputs provides daily coverage at 20 km spatial
resolution (Dybkjaer, 2018). Another product, developed by the French National
Institute for Ocean Science (IFREMER), combines passive-microwave and
scatterometer inputs to produce 3 d motion estimates (Girard-Arduin and Ezraty, 2012). Several of these
products were intercompared in Sumata et al. (2014, 2015). High-resolution synthetic-aperture radar (SAR) imagery
has also been used to track motion at much finer spatial scales (e.g.,
Curlander et al., 1985; Kwok et al., 2003; Howell et al., 2018). While high
resolution, SAR has had limited spatial and temporal coverage, the data were
large and difficult to work with, and reasonable coverage did not start
until the mid-1990s. This has changed in recent years, but long-term climate records from SAR are limited.</p>
      <p id="d1e226">In this paper, we specifically discuss the “Polar Pathfinder Daily 25 km
EASE-Grid Sea Ice Motion Vectors” product (Tschudi et al., 2019a). These sea ice motions
derived from satellite instruments and buoys are then used to obtain a
continuous, complete, long-term record of sea ice age, the “EASE-Grid Sea
Ice Age” product (Tschudi et al., 2019b). Because of its length and completeness, this
ice age time series has been used in several studies (Maslanik et al., 2007, 2011; Tschudi et al., 2016, 2010) and reviews of Arctic change (Stroeve et al., 2011; Meier et al., 2014; Perovich et al., 2019) to assess
changes in the ice cover. Over time, enhancements and improvements have been
made to the ice motion and ice age products. The latest version of the ice
motion and age products addresses issues noted by users (Szanyi et al., 2016), and both products are enhanced through a refined optimal
interpolation approach that improves the spatial continuity of the gridded
motion and age fields. Our focus in this paper is to highlight the changes
in the new version, compare the new version with older versions, and provide
an updated assessment of ice age trends. As further background, we also
document the algorithms and production of the products. Because the ice age
product is produced by utilizing the sea ice motion product, we outline the production of the motion product first.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e232">Version histories of the sea ice motion and age products.</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="justify" colwidth="76.822441pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="156.490157pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="156.490157pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Version</oasis:entry>
         <oasis:entry colname="col2">NSIDC release date</oasis:entry>
         <oasis:entry colname="col3">Motion</oasis:entry>
         <oasis:entry colname="col4">Age</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">Not distributed by <?xmltex \hack{\hfill\break}?>NSIDC</oasis:entry>
         <oasis:entry colname="col3">Original version based on SMMR, SSM/I,<?xmltex \hack{\hfill\break}?>and AVHRR imagery and buoy motions</oasis:entry>
         <oasis:entry colname="col4">Original research product</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">Sep 2013 (motion) <?xmltex \hack{\hfill\break}?>Dec 2014 (age)</oasis:entry>
         <oasis:entry colname="col3">– Added AMSR-E sources <?xmltex \hack{\hfill\break}?>– Added NCEP–NCAR wind-derived motions for Arctic</oasis:entry>
         <oasis:entry colname="col4">– First version distributed at NSIDC<?xmltex \hack{\hfill\break}?>(as Version 2) <?xmltex \hack{\hfill\break}?>– Used Version 2 ice motion product as<?xmltex \hack{\hfill\break}?>input</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">Feb 2016</oasis:entry>
         <oasis:entry colname="col3">– Removed erroneous buoy and AVHRR-derived motions <?xmltex \hack{\hfill\break}?>– Updated buoys motions through most recent date <?xmltex \hack{\hfill\break}?>– Derived sea ice mask from NSIDC<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> product instead of internally derived concentration estimates <?xmltex \hack{\hfill\break}?>– Used GDAL<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> library to interpolate SSM/I fields from polar stereographic to EASE-<?xmltex \hack{\hfill\break}?>Grid <?xmltex \hack{\hfill\break}?>– Improved browse images</oasis:entry>
         <oasis:entry colname="col4">– Used Version 3 ice motion as input <?xmltex \hack{\hfill\break}?>– Improved browse images</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">Nov 2018</oasis:entry>
         <oasis:entry colname="col3">– Used highest-weighted vectors for interpolated gridded fields instead of nearest<?xmltex \hack{\hfill\break}?>vectors <?xmltex \hack{\hfill\break}?>– Daily buoy motions averaged instead of<?xmltex \hack{\hfill\break}?>using latest observation <?xmltex \hack{\hfill\break}?>– Open water buoys removed <?xmltex \hack{\hfill\break}?>– Final quality-controlled SSM/I and SSMIS brightness temperatures used throughout record <?xmltex \hack{\hfill\break}?>– Corrected over-filtering of SSM/I and SSMIS vectors that had removed valid motion <?xmltex \hack{\hfill\break}?>– Improved browse images <?xmltex \hack{\hfill\break}?>– Removed monthly average fields from the product</oasis:entry>
         <oasis:entry colname="col4">– Used Version 4 ice motion input <?xmltex \hack{\hfill\break}?>– Updated week-numbering convention to be consistent with motions <?xmltex \hack{\hfill\break}?>– Improved browse images</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e235"><inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Cavalieri et al. (1996). <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Geospatial Data Abstraction Library
(<uri>https://gdal.org</uri>, last access: 15 February 2020).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>The Polar Pathfinder Sea Ice Motion product</title>
      <p id="d1e425">The sea ice motion product is archived and distributed by the NASA Snow and
Ice Distributed Active Archive Center<?pagebreak page1521?> (DAAC) at the National Snow and Ice
Data Center (NSIDC). The ice motion product provides gridded daily estimates
and weekly averages of ice motions for both the Arctic and Antarctic regions. In this section, we describe the basic processing methodology and
data sources and note the changes made in the new Version 4 of the
product. The version history of the motion product (and the age product
discussed in Sect. 3) is summarized in Table 1, including the release date
and enhancements for each version.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e431">Temporal coverage of input source data, as of November 2019. The
products will be updated approximately yearly. Buoy motions are from GPS
location data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <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 colname="col3"/>
         <oasis:entry colname="col4">Source</oasis:entry>
         <oasis:entry colname="col5">Gridded motion</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Data</oasis:entry>
         <oasis:entry colname="col2">Source</oasis:entry>
         <oasis:entry colname="col3">Temporal range</oasis:entry>
         <oasis:entry colname="col4">resolution (km)</oasis:entry>
         <oasis:entry colname="col5">resolution (km)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Daily sea ice motions</oasis:entry>
         <oasis:entry colname="col2">Interpolated from input data</oasis:entry>
         <oasis:entry colname="col3">1 Nov 1978–31 Dec 2018</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">25</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Weekly sea ice motions</oasis:entry>
         <oasis:entry colname="col2">Averaged from daily sea ice motions</oasis:entry>
         <oasis:entry colname="col3">5 Nov 1978–31 Dec 2018</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">25</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Input data</oasis:entry>
         <oasis:entry colname="col2">AMSR-E</oasis:entry>
         <oasis:entry colname="col3">19 Jun 2002–8 Aug 2011</oasis:entry>
         <oasis:entry colname="col4">6.25, 12.5</oasis:entry>
         <oasis:entry colname="col5">37.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">AVHRR</oasis:entry>
         <oasis:entry colname="col3">24 Jul 1981–31 Dec 2000</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">IABP buoys</oasis:entry>
         <oasis:entry colname="col3">18 Jan 1979–31 Dec 2018</oasis:entry>
         <oasis:entry colname="col4">n/a</oasis:entry>
         <oasis:entry colname="col5">n/a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NCEP–NCAR <inline-formula><mml:math id="M16" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> wind and <inline-formula><mml:math id="M17" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> wind</oasis:entry>
         <oasis:entry colname="col3">25 Oct 1978–31 Dec 2018</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M18" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SMMR</oasis:entry>
         <oasis:entry colname="col3">25 Oct 1978–8 Jul 1987</oasis:entry>
         <oasis:entry colname="col4">25</oasis:entry>
         <oasis:entry colname="col5">75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SSM/I</oasis:entry>
         <oasis:entry colname="col3">9 Jul 1987–31 Dec 2006</oasis:entry>
         <oasis:entry colname="col4">12.5, 25</oasis:entry>
         <oasis:entry colname="col5">75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SSMIS</oasis:entry>
         <oasis:entry colname="col3">1 Jan 2007–31 Dec 2018</oasis:entry>
         <oasis:entry colname="col4">12.5, 25</oasis:entry>
         <oasis:entry colname="col5">75</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e434"><inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> NCEP–NCAR winds are on a T62 Gaussian grid, which is
<inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km in the latitudinal direction, with variable
longitudinal spacing. n/a: not applicable.</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sea ice motion data sources and derivation techniques</title>
      <p id="d1e697">Here we provide an overview of the source data and the basic derivation
approach. Further details are provided in the product User Guide, available
at NSIDC (<uri>https://nsidc.org/data/nsidc-0116</uri>, last access: 20 February 2020). There are three primary types
of sources for the sea ice motion product: (1) gridded satellite imagery –
from several sources, (2) winds from reanalysis fields, and (3) buoy
position data. Motions are independently derived from each of these sources. A list of the sources, temporal coverage, and
spatial resolution is provided in Table 2. A complete daily gridded product
is then produced by combining all sources via an optimal interpolation
scheme (Fig. 1), which is described further below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e705">Flow chart for the production of the sea ice motion and age
products. pmw is defined as passive microwave, and Tb's is brightness temperatures.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f01.png"/>

        </fig>

<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Gridded satellite imagery</title>
      <p id="d1e721">The approach used for deriving ice motion from satellite imagery is a
pattern-matching method that uses cross correlations between patterns in
coincident images separated by a given time interval. Such an approach is
commonly called “feature tracking”, but at the spatial scales for these
images, it is a spatial pattern of many features that are being tracked.
Specifically, for our product, motion vectors are computed<?pagebreak page1522?> using a maximum
cross-correlation (MCC) pattern-matching method (Emery et al., 1991, 1995). Two
geolocated, spatially coincident, temporally consecutive satellite images
are selected. Typical time separation between images is 1 to 3 d. For
each valid sea ice grid cell, a “search window” is defined for a region around that grid cell, sized so that it will
encompass the range of potential motion during the prescribed time interval
(typically <inline-formula><mml:math id="M20" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 km beyond the grid cell in all directions).
The later image is translated relative to the earlier image within this
search window, and the correlation between the two images is calculated for
each translation. The highest correlation value, i.e., the correlation peak, is assumed to coincide with the most likely offset in the position of the
grid cell between the earlier and the later image. This offset in the
position yields a displacement vector pointing into the direction of the ice
motion; the ice velocity is computed by dividing its magnitude by the time
separation between the two images used. All satellite motions are calculated
as <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="bold-italic">v</mml:mi></mml:math></inline-formula> vector components relative to the EASE-Grid employed for the product.</p>
      <p id="d1e745">The imagery sources have changed over time, depending on which inputs have
been available. The primary source has been passive-microwave imagery from a
series of sensors. Horizontal and vertical polarization fields of 37 GHz and
85–91 GHz channels are used when available. These began in late 1978 with
the Scanning Multichannel Microwave Radiometer (SMMR) on the NASA Nimbus-7
platform, which operated until August 1987 (SMMR did not include the 85 GHz
channels). After SMMR, a series of Special Sensor Microwave/Imagers (SSM/Is)
on US Defense Meteorological Satellite Program (DMSP) platforms carried on
the time series. These were used for the motion product through 2006.
Starting in 2007, the motion product transitioned to the DMSP successor
instrument, the Special Sensor Microwave/Imager and Sounder (SSMIS), of
which three still continue to operate (as of March 2020). The SSM/I and
SSMIS imagery are derived from the DMSP SSM/I–SSMIS Daily Polar Gridded
Brightness Temperatures, Version 4, product (Maslanik and Stroeve, 2004) and the SMMR imagery are
from the Nimbus-7 SMMR Polar Gridded Radiances and Sea Ice Concentrations,
Version 1, product<?pagebreak page1523?> (Gloersen, 2006). Motions were derived from both the 37 GHz and
85–91 GHz channels from SSM/I and SSMIS.</p>
      <p id="d1e748">These SMMR–SSM/I–SSMIS sources are useful because they provide complete
daily (every other day for SMMR) coverage in all-sky conditions (i.e.,
including night and through clouds). However, their low spatial resolution
limits the resolution of motion estimates that can be retrieved. For SMMR,
SSM/I, and SSMIS the 37 GHz fields are gridded at 25 km resolution, while
85–91 GHz fields are gridded at 12.5 km resolution. However, the actual resolution, i.e., the sensor footprint, is
even coarser, so the effective resolution of the imagery is lower than the
gridded resolution. For the SSM/I–SSMIS fields, with a gridded resolution of
25 km, daily velocity can only be estimated to the nearest 25 km d<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for
each velocity component (and actually less in terms of the sensor footprint
resolution). This results in a coarse and noisy motion field. For this reason, similar motion-tracking methods reduce the
effect of the coarseness though interpolating the cross-correlation function
(e.g., Kwok et al., 1998) or through continuous optimization methods (Lavergne et al., 2010); often
other methods also use a 2 or 3 d time separation to reduce noise.
Our product obtains useful daily motions by applying an oversampling
procedure – effectively moving the correlation window fractions of grid
cells – to obtain sub-pixel resolution. During initial development of the motion algorithm, various oversampling intervals were
evaluated for improvement in accuracy versus computational expense. Based on
these empirical analyses, an oversampling of <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> was chosen. This
oversampling is applied to all satellite estimates. This improves the
SSM/I–SSMIS effective sampling interval to 6.25 km d<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which corresponds to
a theoretical motion precision of 7.23 cm s<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The optimal interpolation
method described below smooths this “discretized” motion, allowing
estimation of much slower motions.</p>
      <p id="d1e797">In 2002, a more advanced passive-microwave sensor, the NASA/JAXA Advanced
Microwave Scanning Radiometer for the Earth Observing System (AMSR-E), was
launched on the NASA Aqua satellite and operated until October 2011. AMSR-E
has more than double the spatial resolution of SSM/I–SSMIS. AMSR-E 89 GHz data are gridded at 6.25 km resolution, compared to 12.5 km
for 85–91 GHz SSM/I–SSMIS; likewise, AMSR-E 37 GHz data are gridded to 12.5 km compared to 25 km for 37 GHz SSM/I–SSMIS. With the higher resolution of
the source data, AMSR-E's motion resolution is likewise improved. Thus, during
this period (2002–2011), brightness temperatures from AMSR-E (Cavalieri et
al., 2014a, b) were also used as a source for ice motions in the Northern
Hemisphere. In 2012, JAXA launched AMSR2 on their Global Change Observation Mission – Water (GCOM-W)
satellite, which continues to operate (as of March 2020). AMSR2 has not yet
been added as a source, but this is planned for a future release of the
motion product.</p>
      <p id="d1e801">For the period 1981–2000, vectors were produced from the Advanced Very High
Resolution Radiometer (AVHRR) for the Northern Hemisphere. AVHRR is a
visible or infrared sensor that provides higher spatial resolution than the
passive-microwave sources. Daily gridded composites at 4 km resolution were
used as input to the maximum cross-correlation algorithm (Emery et al., 2000). The
higher resolution of the sensor provided more precise motion estimates than the SMMR–SSM/I source.
However, motions could only be derived when there were cloud-free conditions
on consecutive days. This yielded relatively few vectors, and the impact of
AVHRR on the gridded composite fields was relatively small. The AMSR-E 89 GHz channel nearly matches the AVHRR gridded resolution. While the 89 GHz
channels are affected by atmospheric emission, retrievals through many cloud
conditions are possible, which allows AMSR-E to obtain many more valid motion estimates than AVHRR, at a comparable
spatial scale. In addition, the 37 GHz channels have less atmospheric
emission, while lower resolution still marks a substantial improvement
over SSM/I and SSMIS. Thus, inclusion of AVHRR as a motion source was
discontinued after 2000 (when the source AVHRR product ended).</p>
      <p id="d1e804">To further reduce errors, post-processing filtering techniques are
applied to the cross-correlation scheme. First, a minimum correlation
threshold of 0.4 is applied to the motion estimates from all of the
satellite-derived MCC estimates. This removes “weak” matches that are more
likely to be incorrect. Various thresholds were investigated during the
original development of the method (Emery et al., 1991), and 0.4 was determined to be
reasonable in terms of balancing the allowance of too many erroneous matches
versus incorrectly removing many “good” matches (Emery et al., 1986). Our value of
0.4 is a subjective choice but is within the range of thresholds chosen by
other methods, e.g., 0.6 (Girard-Ardhuin and Ezraty, 2012) or 0.3 (Kwok et al., 1998; Lavergne et al., 2010).</p>
      <p id="d1e807">Second, a neighborhood filter is applied to each individual motion source.
At the low resolution of the satellite data, motion is spatially well-correlated across several grid
cells. For each vector retrieved, it is compared with two neighboring
vectors. To pass the filter, the motion displacement must be consistent
within two grid cells of the displacements of the two neighboring vectors.
If the displacements are not consistent within the two-grid cell limit, the
vector is considered to be spurious and is rejected. Essentially,
this means that there must be at least three consistent motion estimates adjacent
to each other. These spurious vectors occur most frequently near the ice
edge.</p>
      <p id="d1e810">These satellite-derived motion sources have different characteristics, which
influence the precision and quality of the retrieved ice motions. The different microwave frequencies
and polarizations are sensitive to different aspects of the surface that may
affect the cross correlation; different frequencies also have different
spatial resolutions that affect the theoretical precision (e.g., 85–91 GHz
has a higher gridded resolution). AMSR-E provides substantially higher
resolution that yields more precise motion estimates. AVHRR is sensitive to
visible or infrared characteristics of the ice that yield a<?pagebreak page1524?> different
correlation basis for feature matching. All of these differences make merging these
disparate sources into a combined field inherently complex.</p>
      <p id="d1e813"><italic>Version 4 changes</italic>. There have been two significant changes made to the
satellite imagery processing for Version 4. First, the final
quality-controlled and calibrated gridded SSM/I and SSMIS brightness temperatures (Maslanik and Stroeve, 2004) have been used throughout the record. In previous
versions, near-real-time gridded brightness temperatures (Maslanik and Stroeve, 1999) were used to
augment the time series, and there was no provenance on when the
near-real-time or final source was used. Another change corrected
over-filtering of SSM/I and SSMIS vectors that removed valid motion estimates
in Version 3 of the product. Motion estimates are computed using the MCC
individually from SSM/I and SSMIS 37 GHz and 85–91 GHz fields. In Version 3, SSM/I and SSMIS vectors
were only included if a similar SSM/I–SSMIS vector was found in three
adjacent grid cells instead of two. In Version 4, SSM/I–SSMIS vectors were
included if (a) there are at least two SSM/I–SSMIS estimates at adjacent grid
cells with similar velocities in each frequency-derived field and (b) there
are at least four similar velocities at adjacent grid cells among the
combined four SSM/I–SSMIS frequency-derived fields. The net effect of this change was to reduce over-filtering of valid
SSM/I–SSMIS-derived ice motions. This had a relatively small effect in the
Arctic because the multiple motion sources provided nearby motion estimates
to compensate for the lack of microwave estimates; however, in the
Antarctic, where the SSM/I and SSMIS estimates provide the primary (and, after 2000, the only) motion
information, the sparser motion estimates often resulted in unrealistic
circulation patterns; this is discussed further below in Sect. 2.3.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Reanalysis winds</title>
      <p id="d1e827">The satellite imagery sources are augmented in the Arctic with motions
derived from wind forcing using the NCEP–NCAR reanalysis (Kalnay et al., 2016) on a
roughly <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> latitude–longitude grid, which are
interpolated to a 50 km EASE-Grid (see Table 2). Wind-derived motions are
not currently used in the Antarctic. The ice motions' estimates are derived
based on a simple relationship between winds and ice motion. The sea ice is assumed to move in the geostrophic wind direction,
as provided by the reanalysis fields, with a magnitude of 1 % of the wind
speed. This was implemented based on the estimate from Thorndike and Colony (1982). Other studies
have shown a higher percentage (e.g., 2 %) for the ice–wind speed
relationship. Recent studies indicate that the ice is becoming more
responsive to winds (e.g., Spreen et al., 2011), so the 1 % value used here likely
underestimates the wind-driven ice speed. However, no changes were made to the wind-derived motions for Version 4. In the
Supplement, we show that the combined motion fields are largely
insensitive to the magnitude of the wind contribution because it has a
relatively small weight compared to the other sources. In a future version,
we plan to revisit this relationship in the Arctic and investigate adding
wind-driven motions for the Antarctic.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Buoy positions</title>
      <p id="d1e856">Ice motion vectors are also computed by incorporating position data from the
network of drifting buoys deployed as part of the International Arctic Buoy
Program (IABP, 2008). These buoys monitor meteorological and oceanographic
conditions for real-time operational requirements and research purposes and provide ice motion by transmitting updated locations. This
product uses the twice daily (midnight and noon) locations of the IABP “C”
buoy product. Two motion estimates are computed from these locations: one
from noon of a day to noon of the following day and one from midnight of
a day to midnight the following day. No buoys are included in the Antarctic motion
fields because there have been few buoy deployments on ice in the Southern
Ocean.</p>
      <p id="d1e859"><italic>Version 4 changes.</italic> The principal change for the buoys is how the twice-daily
observations are integrated into a daily product. Previous versions of this product considered these
motions independently of each other and effectively used the most recent
observation for a day. In Version 4 the two estimates are averaged to
provide one daily motion estimate for each buoy. Thus, each day's buoy
motion is an average of midnight to midnight (UTC) of the current day and
noon the previous day to noon the current day. Also, the IABP source product
recently started including floatable buoys, resulting in motion estimates
from off the ice. These were not screened out in earlier versions. The
effect was relatively small and primarily influenced motions near the
ice edge because of the distance-weighting interpolation. Version 4 now
applies an ice mask to the buoys, making the buoy motion domain consistent
with the other sources.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><title>Masks for valid motions</title>
      <p id="d1e872">Two masks are applied to limit motion retrievals to only regions where sea
ice exists. First, a modified land mask is applied. The standard land mask
is “dilated” so that cells near land are also excluded because motion
retrievals near the coast are unreliable due to the effects of mixed land
and ice–ocean grid cells. Because of its narrow channels, the Canadian
Arctic Archipelago region is also masked out.</p>
      <?pagebreak page1525?><p id="d1e875">Second, a sea ice mask is also applied to limit motion retrievals to only
ocean regions that are ice-covered on the days under consideration. The mask
is based on the “Sea Ice Concentrations from Nimbus-7 SMMR and DMSP
SSM/I–SSMIS Passive Microwave Data, Version 1” at NSIDC (Cavalieri et al., 1996). The mask
defines all areas with concentrations greater than 15 % as ice-covered so
that valid ice motions can be computed.<?xmltex \hack{\newpage}?></p>
      <p id="d1e879"><italic>Version 4 changes.</italic> Previously, the sea ice mask from only the first day was
used to define the valid motion region. This was changed in Version 4 to
allow motions only where ice is present on both days
used to retrieve motions. This results in very small changes near the ice
edge. As noted above, the mask is now applied to buoys as well as the other
sources.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Review of uncertainty characteristics of motion estimates from previous studies</title>
      <p id="d1e894">In this section we provide an overview of general uncertainty
characteristics of the source motion estimates found in previous studies,
focusing particularly on passive-microwave error estimates. Errors in the
ice motion and ice age products are dependent on the resolution of the
satellite sensor as well as geolocation and binning errors for each image
pixel (Meier et al., 2000). The distance precision of motion detection is limited by the
grid cell resolution – a pattern can nominally be “observed” to move only
an integer number of grid cells. Particularly for the low-resolution inputs,
this yields high uncertainty for each individual estimate and an overall
noisy motion field.</p>
      <p id="d1e897">As noted above, for a 25 km gridded passive-microwave input with <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula>
oversampling, the theoretical limit of precision of the motion is 7.23 cm s<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(6.25 km d<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Atmospheric effects and temporal variability in the surface are additional sources of error, especially in the summer.
However, several evaluation studies have found that in practice errors are
often lower because the different sources of error offset each other. Kwok et al. (1998) compared ice motion estimated from the European Space Agency (ESA)
Remote Sensing Satellite (ERS-1) SAR along with
drifting-buoy motion to SSM/I-derived motions and found an error of 5–12 km d<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M32" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6–14 cm s<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Meier et al. (2000), comparing with buoys, found root-mean-square errors (RMSEs) of SSM/I-derived daily velocity components to vary
between <inline-formula><mml:math id="M34" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 and 7 cm s<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, depending on conditions, with near-zero
bias. AMSR-E, with higher spatial resolution, yields motion estimates with
velocity component errors of 4–5 cm s<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Meier and Dai, 2006; Kwok, 2008).</p>
      <p id="d1e997">Summertime drift error is higher due in part to surface melt, which affects
the passive-microwave identification of ice parcels. Our product incorporates summer drift
estimates from passive microwave, but the errors are substantially higher,
and the number of valid motions is lower (see Supplement). Kwok (2008)
showed that AMSR-E 19 GHz channels can provide improved summer estimates
compared to other frequencies. However, the large sensor footprint of 19 GHz
makes such retrievals impractical except from the higher-resolution AMSR-E
sensor; 19 GHz was not used as an input to our product. The largest drift
error was found to occur in the fall, likely due to formation of new ice
(Meier et al., 2000). Optimal interpolation (discussed below) reduces errors through
its error and distance-based weighting, particularly when buoys are incorporated. Temporal averaging
further reduces errors in the weekly estimates.</p>
      <p id="d1e1000">In addition, the errors are not generally cumulative because the motions
were found to be largely unbiased evaluations done during the development of
the original product; this allows for accurate tracking of parcels (e.g., ice age) over time. These evaluations, described in the
product documentation at NSIDC (<uri>https://nsidc.org/data/nsidc-0116</uri>, last access: 25 February 2020), show <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> velocity
component biases of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>0.05 cm s<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="bold-italic">v</mml:mi></mml:math></inline-formula> component biases
of 0.4–0.7 cm s<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Other published studies (such as the references above) show
similar results. The low bias in the estimates means that errors in
long-term (weeks to months) displacement are relatively small. Tschudi et al. (2010)
compared drift tracks composed from the sea ice motion product to the drift
of the Surface Heat Budget of the Arctic Ocean (SHEBA) ice camp (Uttal et al., 2002)
and found a drift error of 27 km over 293 d. There is some effect from
the different passive-microwave sources due to temporal sampling between
SMMR (every other day) and SSM/I–SSMIS (daily); the higher sampling rate from
SSM/I–SSMIS changes the discretization of the retrieved motions. Also, the
higher spatial resolution of AMSR-E affects the discretization of the
motions as well. This is discussed further in the Supplement.</p>
      <p id="d1e1056">We note here that evaluation of sea ice motions has come nearly exclusively
from the Arctic region. The primary reason for this is the existence of the
IABP buoys that offers a reliable “truth” for evaluation of
satellite-derived motions and other methods. The Antarctic has had few or no
buoys. Thus, our knowledge of the error characteristics of Antarctic motions has not been
quantified. While the cross-correlation approach for the satellite-derived
motions is the same in the Antarctic and the theoretical precision is thus
the same, the Antarctic sea ice surface is different (e.g., thinner ice,
deeper snow, snow-ice formation). Other factors, such as a more dynamic sea
ice cover and different atmospheric influence, also have an
effect. As such, there is lower confidence in Antarctic motions, and the
error characteristics are more uncertain. The Antarctic motions are included
with the product for completeness, but users should note these caveats.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Combined gridded sea ice motion fields</title>
      <?pagebreak page1526?><p id="d1e1067">Daily motion fields are provided from each of the sources during their
period of availability. However, for many users, the most useful parameter
is the combined gridded product. This combines via an optimal interpolation
scheme all available sources for a given day onto a version of the 25 km
EASE-Grid (Brodzik et al., 2002). For further information on the grid, see NSIDC's
documentation for this data product (Tschudi et al., 2019a). For each 25 km ice EASE-Grid cell, the speeds (cm s<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in the EASE-Grid <inline-formula><mml:math id="M43" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> direction (<inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> velocity
component) and <inline-formula><mml:math id="M45" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> direction (<inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="bold-italic">v</mml:mi></mml:math></inline-formula> velocity component) are stored. The daily
motions fields are also averaged into weekly fields.<?xmltex \hack{\newpage}?></p>
      <p id="d1e1111">Optimal interpolation (also called “kriging”) is not simply a spatial
average but also considers the accuracy
of different sources and the spatial distribution of the source
estimates. The motion estimates vary in expected quality, with buoys
considered most accurate, followed by passive-microwave and/or AVHRR-based
estimates and finally by the wind field. This weighting is of the form
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M47" display="block"><mml:mrow><mml:mi>w</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>e</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>d</mml:mi><mml:mo>/</mml:mo><mml:mi>D</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M48" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> is the weight, <inline-formula><mml:math id="M49" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> is a source-based coefficient (0.45 for wind, 0.95 for
buoy, 0.8 for other sources), <inline-formula><mml:math id="M50" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> is the Euclidean distance between the pixel in question and the motion estimate on the EASE-Grid, and <inline-formula><mml:math id="M51" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is the length scale
(constant) over which the estimates are correlated. The values of <inline-formula><mml:math id="M52" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> are
constant for each source and are based on early comparisons between each
source and buoy estimates. Buoys, being
the most accurate, were assigned the 0.95 value. The buoys were used as
the baseline for estimating the other weights. The values of <inline-formula><mml:math id="M53" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> for the other
sources were estimated a priori based on comparisons between the source motions and
buoy estimates. The original derivation of the <inline-formula><mml:math id="M54" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> values was not retained; it
is likely that the values are not optimal in all cases. For example, the
quality of the satellite estimates varies depending on source and spatial resolution, so using 0.8 for all of
them is suboptimal (see Supplement). Another example is that
wind-derived estimates appear to be comparable to many of the satellite
estimates (see Supplement), suggesting that winds should be weighted
relatively higher. However, these were not changed for Version 4, and here we
simply provide the values used in the product.</p>
      <p id="d1e1192">Estimates that are closer (low <inline-formula><mml:math id="M55" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>) and higher quality (sources with higher <inline-formula><mml:math id="M56" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula>, e.g., buoys) are weighted higher. The correlation length scale, <inline-formula><mml:math id="M57" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, was given a
value of 417 km, also determined empirically, based on cross correlations of
estimates separated by varying distances. This distance is lower than the
full correlation length scale. However, the method limits the number of
interpolated source observations to a maximum of 15, and this distance is
large enough to encompass that limit. Other studies (e.g., Meier et al.,
2000) found that using longer length scales did not appreciably affect the
interpolation values. The method loops through all grid cells in the domain
that are flagged as sea ice-covered. Figure 2 shows an example of the
individual motion sources and the resulting combined motion field. The
optimal interpolation converts the sparse and/or noisy individual motion fields
into a complete and smoothly varying combined motion grid.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1219">Daily motion vectors on 16 September 2016 from <bold>(a)</bold> buoys, <bold>(b)</bold> passive microwave, and <bold>(c)</bold> winds. The three sources are then merged to form
<bold>(d)</bold> the daily interpolated sea ice motion field. Sea ice (white), ice-free
ocean (blue), land (gray), and coast (black) are also shown. All buoys are
shown, but other fields show only every fourth
vector for legibility. In some years, AMSR-E or AVHRR also contributes
vectors.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f02.png"/>

        </fig>

      <p id="d1e1240"><italic>Version 4 changes.</italic> The most notable change in the motion product for Version
4 involves the optimal interpolation approach. In previous versions, the
combined estimate at each valid grid cell was estimated
by optimally interpolating (kriging) the surrounding 15 closest vectors.
While this generally gives a good spatial distribution around grid cells, it
does not necessarily include all estimates that fall within correlation
length scale and that theoretically could influence the interpolated
estimate. This means that discontinuities can potentially occur,
particularly as highly weighted estimates (i.e., buoys) fall off the list of
closest estimates. When the buoy motion estimates differ significantly from
other sources, artificially large spatial gradients in velocity magnitude can arise
(Szani et al., 2016). In Version 4 of the product, the methodology has been revised to
use the 15 highest-weighted ice motion vectors at each grid cell, regardless
of source. Thus, a source with a high value of <inline-formula><mml:math id="M58" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> (i.e., buoys) will have a
weight, <inline-formula><mml:math id="M59" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>, higher than <inline-formula><mml:math id="M60" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> for a source with a lower <inline-formula><mml:math id="M61" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> value (e.g., winds) over a
longer spatial distance. This means that
higher-weighted observations have influence over a longer distance, and their
influence drops off more gradually. This approach significantly reduces and
often removes the discontinuity artifact in the daily combined product
(Fig. 3). It is also reflected in the interpolation error estimates
included with the daily product (not shown), where the low error in the
neighborhood of the buoys has a smoother gradient.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1275"><inline-formula><mml:math id="M62" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> component of the daily interpolated vector field for 17 September 2001 from <bold>(a)</bold> Version 3 and <bold>(b)</bold> Version 4. The Version 3 fields show
sharp gradients in the velocity when highly weighted buoy estimates – buoy
locations shown with red dots – no longer contribute to the motion field.
Version 4 removes these sharp gradients
by considering the highest weighted – rather than closest – underlying
estimates.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f03.png"/>

        </fig>

      <p id="d1e1296">As noted above, the Version 4 algorithm also eliminates an over-filtering of
SSM/I and SSMIS passive-microwave vectors that occurred in Version 3. Since
these vectors are the primary source in the Antarctic (other than SMMR
during 1978–1987 and AVHRR during 1981–2000), they are the main input to the
optimal interpolation, and the over-filtering of the vectors resulted in a
sparse raw motion field. With the length scale value, <inline-formula><mml:math id="M63" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, of 417 km, given the coarse spatial resolution and
high noise in the daily<?pagebreak page1527?> passive-microwave-derived motion vectors, so few
vectors often did not provide a spatially representative sample of the
large-scale motion circulation. In other words, the interpolated motion
field of the Antarctic ice motion field was often being driven by very few
underlying motion estimates, which led to unrealistic circulation patterns
in the Antarctic because there were too few vectors to create a
representative field.</p>
      <p id="d1e1306">The over-filtering also occurred in the Arctic but was much more limited
because other sources exist to augment the passive-microwave estimates; in
particular, use of spatially complete and smoothly varying wind-driven
motions in the Arctic “filled in” any place where passive-microwave
vectors were sparse (see Fig. 2). Version 4 corrects this over-filtering,
yielding more passive-microwave motion estimates over a broader area; this
is particularly noticeable in the Antarctic. An example of this is shown in
Fig. 4, where the Version 3 product has very few vectors. In the eastern Weddell
Sea, this results in southward onshore ice motion. This would be very
unusual for the region, and comparisons with winds (not shown) indicate that
this motion is not realistic. Version 4 yields more source vectors that
better represents the spatial variation in the region. The result is a
general eastward circulation, which is more typical for the region and is
consistent with the wind field.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1312">Version 3 <bold>(a)</bold> and Version 4 <bold>(b)</bold> Antarctic SSM/I vectors (red) and
resulting interpolated vectors (black) for 22 August 2001. Version 3
over-filtered the number of underlying SSM/I vectors, often resulting in an
ice field constructed from very sparse underlying data. Version 4 corrected
this and includes more SSM/I vectors. Every fourth
vector is plotted for easier legibility.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f04.png"/>

        </fig>

      <p id="d1e1327">A final change in the motion product for Version 4 is that the data are now
provided in NetCDF format, with daily files for each underlying motion
field – e.g., SSM/I, buoy, and wind-driven motions – as well as files
containing the daily combined (optimally interpolated) estimate and a weekly
average sea ice motion.</p>
      <p id="d1e1330">The self-describing file format provides improved metadata (including
georeference information) and easier access for many users. In the daily
combined field, an error estimate is included that gives the error from the
optimal interpolation, which is a function of the number, spatial
distribution, and quality of all input vectors interpolated at a given grid
point. Flag values are used to denote potential low-quality interpolation due to lack of nearby vectors and/or vectors near the coast
(where retrievals have higher errors). Because the passive-microwave daily
ice motions are at a coarse resolution, they tend to exhibit discretization
effects at daily timescales (e.g., Lavergne et al., 2010), even when
applying the <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> oversampling. These effects are diminished in the weekly
fields as day-to-day “noise” in the observations is averaged out over the
7 d. Thus, the weekly sea ice motion fields are the recommended
product for most applications; users of the daily product should recognize its
limitations and use caution in interpreting features and changes in the
daily fields. The NSIDC archive also provides browse imagery of the weekly
sea ice motions (Fig. 5), which has also been updated to improve visual
appearance.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1345">Example EASE-Grid sea ice motion for the Arctic region for the week
of 1–7 January 2016 for <bold>(a)</bold> Arctic and <bold>(b)</bold> Antarctic. White indicates the
sea ice mask region (<inline-formula><mml:math id="M65" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 15 % concentration). Note that motions
are not retrieved in the Canadian Arctic Archipelago region or near coasts in the
Arctic. Every fourth vector is plotted for easier legibility.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>The EASE-Grid Sea Ice Age product</title>
      <p id="d1e1376">The EASE-Grid Sea Ice Age product (Tschudi et al., 2019b) builds upon the combined
motion product and is also a popular dataset, with over 650 unique users having accessed
the data as of this writing (NSIDC, personal communication, 2019). Version 2 of the sea ice age
data is also part of NASA's Making Earth System Data Records for Use in
Research (MEaSUREs) dataset at NSIDC (Anderson et al., 2014); however, the MEaSUREs
product is not regularly updated and does not include the newest
enhancements described here. Animations of motion and age have been posted
on NOAA's ClimateWatch online magazine
(<uri>http://www.climate.gov/news-features/videos/old-ice-arctic-vanishingly-rare</uri>, last access: 25 February 2020)
as well as the NASA Scientific Visualization Studio
(<uri>https://svs.gsfc.nasa.gov/4750</uri>, last access: 25 February 2020). Sea ice age distributions and trends are
described annually in the Arctic Report Card (Perovich et al., 2019) and have been analyzed
by Maslanik<?pagebreak page1528?> et al. (2007, 2011). The Sea Ice Age product was introduced by Fowler et al. (2004) and described further by
Maslanik et al. (2007, 2011), Tschudi et al. (2010), and Stroeve et al. (2011). The ice age product algorithm estimates
the age (in years) of Arctic sea ice using input from the previously
described sea ice motion product.</p>
      <p id="d1e1385">Weekly averaged motions are used to reduce computational complexity and to
temporally average discretization artifacts in the daily motion data. Also,
the 25 km resolution motions are bilinearly interpolated to a 12.5 km
resolution grid in order to provide finer granularity in the ice age fields.<?xmltex \hack{\newpage}?></p>
      <p id="d1e1389">At the beginning of the ice motion record, all parcels in the 12.5 km ice
age grid are initialized with an age class of “first-year ice”, meaning
ice that is less than 1 year old. These parcels are then treated as
Lagrangian particles and are advected at weekly time steps with the motion
product estimates. When two or more parcels merge into a grid cell, the age
of that grid cell is represented as the age of the oldest parcel. Rarely,
ice motion results in all parcels being advected out of a grid cell; when
this occurs, a new parcel of first-year ice is initialized in that grid cell. During the
week of the Arctic sea ice extent minimum, the age of all parcels is
increased by 1 year. At each time step, all parcels found within a grid
cell that have an ice concentration of less than 15 % are considered to
have melted and are no longer considered in determining the ice age. Parcels
are tracked for up to 16 years, after which they are no longer considered
(such parcels are simply removed).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e1395">Comparison of Week 8 (19–25 February) ice ages for 1985, <bold>(a)</bold> Version 3 and <bold>(b)</bold> Version 4, and for 2017, <bold>(c)</bold> Version 3 and <bold>(d)</bold> Version 4.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f06.png"/>

      </fig>

      <p id="d1e1416">This approach does not consider new ice that may form within a grid cell
because it retains only the oldest ice in its accounting. Thus, the product
is effectively an estimate of the oldest ice in a given grid cell. Tracking
of partial concentration of age categories can provide a more detailed
picture of the ice cover (Korosov et al., 2018) and is something we may consider for future versions.</p>
      <p id="d1e1419">The source motion data for the age product begin in 1978, with the age of
all parcels initialized as first-year (0–1 years old) ice. Because the
method tracks age over time, several years are needed to build up older ice
categories. For this reason, the ice age product begins in 1984. The
youngest ice age category is first-year ice (FYI), which is ice that is less
than a year old; similarly, second-year ice is 1–2 years
old; and so on for older ice age categories. Ice older than 4 years
(fifth-year and older ice) makes up a very
small percentage of the ice cover, so depicting ice older than this category
as a separate field in browse imagery is not undertaken. Therefore, the ice
age is frequently categorized as being of ages: 0–1 (i.e., FYI), 1–2, 2–3,
3–4, and more than 4 years old (i.e., fifth-year and older ice).</p>
      <p id="d1e1422"><italic>Version 4 changes.</italic> The primary changes in Version 4 of the ice age product result from the changes in the source ice motion products described above.
The most substantial change addressed anomalous behavior in the motion and
age fields documented by Szanyi et al. (2016). They showed that
discontinuities in the interpolated motion field, caused by suboptimal
interpolation of buoys with the other data sources, created artificial ice
divergence and new ice formation in the Version 3 product. This potentially
results in an underestimation of multiyear and an overestimation of
first-year ice. The change in the interpolation weighting, described above,
reduced this effect as seen in Fig. 3; the Version 3 field has the
circular features surrounding the buoys where the buoy contribution suddenly
drops out, resulting
in a discontinuity where false divergence can occur. The new weighting
scheme smooths that discontinuity and eliminates much of the false
divergence. The effect of this change can<?pagebreak page1529?> be seen qualitatively in the age
fields as less “speckling” of first-year ice interspersed within the
multiyear ice pack; the age fields show a more realistic consolidated
multiyear ice pack. Qualitatively, the net effect is less first-year ice
(the speckling that results from the false divergence) and an increased
amount of multiyear ice in Version 4 compared to Version 3 (Fig. 6). This
effect becomes much less noticeable during the latter part of the record.
There are three reasons for this. First, there is less passive-microwave
coverage during the early SMMR period and thus a sparser number of vectors, which
will accentuate interpolation-induced artifacts in the data. Similarly, in
the early part of the record, there were far fewer buoys, so the buoy
interpolation discontinuities are more noticeable. In recent years, there
have been enough buoys such that the interpolation distances of neighboring buoys
often overlap, so discontinuities with the passive microwave and wind fields
are less common. Finally, there is simply much less multiyear ice in recent
years, so the discontinuity effects are less pronounced. A quantitative
assessment of the version changes in the ice age product is discussed
further in Sect. 4 below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e1429">Arctic weekly average sea ice drift speed difference between
Version 4 and Version 3 (V4–V3), 1979–2017. A 13-week running average is
overlaid on the weekly values to highlight seasonal variability. The weekly
average value is derived by averaging all vectors in the weekly motion
field.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f07.png"/>

      </fig>

      <p id="d1e1439">Two other minor changes to the ice age product have been introduced in
Version 4. First, the week-numbering convention was slightly modified to be
consistent with the motion weeks. Second, browse imagery (Fig. 6) was
improved to explicitly show ice-covered ocean areas that are outside of the
age and motion domain (e.g., the Canadian Arctic Archipelago).</p>
      <p id="d1e1442">Validation of sea ice age is difficult because there is no known suitable
validation dataset that can be used for a comparison. Here we primarily
rely on the fact that the ice age product is directly derived from the ice
motion product. Thus, the demonstrated improvement in the motion fields
indicates that the age fields are also improved. This is particularly noticeable in the reduction
of the circular features in the motion field, which reduces the
speckling in the Version 4 age fields. While this is qualitative, we
feel this does demonstrate an improvement in the age fields. A recent study
(Lee et al., 2017) included the NSIDC ice age fields in a comparison with passive-microwave ice age retrieval methods, including multiyear fraction from the
NASA Team algorithm, the OSI-SAF ice type product (Aaboe et al., 2017), and a microwave<?pagebreak page1530?> emissivity approach. The spatial patterns of first-year
and multiyear ice in the NSIDC age product matched well with the comparison
products, showing that our age product is at least consistent with other
approaches.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Trends and variability in Version 4 ice motion and age and comparison to Version 3</title>
      <p id="d1e1454">Here we evaluate how the changes from Version 3 to Version 4 of the products
affect the long-term trends
and variability in the sea ice age fields. We also provide updated motion
and age trends through 2017.</p>
      <p id="d1e1457">As seen in Fig. 3, the change to Version 4 does noticeably affect parts of
the daily fields in regions around buoys. Over a weekly period, the changes
are less significant because the temporal averaging smooths out the
variability in the motions. The weekly average speed is generally faster in
Version 4 than in Version 3 (Fig. 7). (The differences in the <inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="bold-italic">v</mml:mi></mml:math></inline-formula> motion components
– not shown – have similar characteristics over the time series.) This change
in speed between Version 3 and Version 4 reflects the two major changes made
for Version 4: (1) the use of the 15 highest weighted observations for the
interpolated combined fields and (2) the correction of the over-filtering
of the SSM/I and SSMIS vectors. During the SMMR part of the record, the
differences are generally near zero. This is because only the
change in weighting had an effect on this period. In the Arctic this
primarily changed the influence of the buoys, and there were fewer buoys
during the SMMR period. In the Antarctic (Fig. 7b), the change is even
smaller because there are no buoys and thus less impact of the adjusted
weighting scheme. For the
SSM/I and SSMIS period, the Version 4 motions are <inline-formula><mml:math id="M68" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5–1.0 cm s<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> faster than Version 3 in the Arctic and <inline-formula><mml:math id="M70" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0–2 cm s<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
faster in the Antarctic. In this period, both the change in weighting and
the over-filtering correction affected the motions. Over-filtering
of the number of valid SSM/I and SSMIS has a larger effect, especially
in the Antarctic, where there are no buoys or wind-derived fields. During
2002–2011, when AMSR-E is included, the Arctic speed difference is reduced with
Version 4 speeds <inline-formula><mml:math id="M72" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.25–0.5 cm s<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> faster. AMSR-E motions did not change between Version 3 and 4; SSM/I
and SSMIS were also used in this period, but with higher resolution, more
AMSR-E motions were used. Thus, the over-filtering issue in the SSM/I–SSMIS
estimates was muted in the AMSR-E period. After the end of AMSR-E the
differences increase again. In the Antarctic, there is no notable change
because AMSR-E is not used.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e1534">Arctic weekly average sea ice drift speed for Version 4, 1979–2017.
A 13-week running average is overlaid on the weekly values to highlight
seasonal variability.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f08.png"/>

      </fig>

      <p id="d1e1544">There is seasonal variation, with larger differences during the Arctic
summer. The main factor is likely overall speeds, as seen in the Version 4
weekly average speed time series (Fig. 8) that show strong seasonal
variability in Arctic motions with speeds peaking during summer. In the
Antarctic, the version differences are actually largest in winter and
smaller in the summer; this may reflect fewer vectors with
minimal summer ice cover. Also, in the Antarctic winter, the ice extends
far northward and the pack is quite dynamic in response to winds and
currents. Other factors also play a role, including the number of vectors
from different sources at different times of year (e.g., fewer passive-microwave vectors during summer) and, in the Arctic, the revised weighting
scheme that effectively yields more influence of buoys during the summer
(when there are fewer passive-microwave motions).</p>
      <p id="d1e1547">There is also interannual variability (Fig. 8), some of which is related
to the SMMR every-other-day sampling, resulting in slower speeds and less
variability for the 1979–1987 period (more noticeable in the Antarctic
because of the lack of wind-derived and buoy motions). Beyond that, there is
an overall positive trend in Arctic sea ice speed of 0.21 cm s<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade in
Version 4 versus 0.13 cm s<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade in Version 3. The increasing speed is in general<?pagebreak page1531?> agreement with previous studies
that noted a trend toward faster moving ice (e.g., Spreen et al., 2011) and linked the
trend to greater response to wind forcing by a thinner ice cover. In the
Antarctic, there is also an increasing trend of 0.61 cm s<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade in Version
4 versus 0.41 cm s<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> per decade in Version 3. But as noted above, the differences
in the trend values from Version 4 and Version 3 at least partially reflect the effects of the changes in the
motion sources and their relative impacts over the time series.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e1600">Comparison of ice <inline-formula><mml:math id="M78" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 years old from Version 3 (red) and Version 4 (blue) for 1984–2017.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f09.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e1618">Extent difference between Version 4 and Version 3 sea ice age
categories for the week of 19–25 February from 1984 to 2017.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f10.png"/>

      </fig>

      <p id="d1e1627">The largest effect of the version change for ice age is, as noted above, the
amount of multiyear ice in the early part of the record, particularly in the oldest ice categories. This
is illustrated in the time series of ice age (Fig. 9). Both versions show a
strong decline in ice <inline-formula><mml:math id="M79" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 years old over the record, with a steep loss of
old ice in the late 1980s through the mid-1990s, which is associated with a
persistent positive mode of the Arctic Oscillation (AO; Rigor et al., 2002). A positive
AO results in increased drift from the Siberian coast and greater advection
of ice out of the Arctic through Fram Strait, which serves to “drain”
older ice out of the Arctic (Rigor and Wallace, 2004).</p>
      <p id="d1e1638">The change to Version 4 results in higher extent of the old ice over most of
the early part of the record, with the exception of 1995–1996 (perhaps
related to the end of the positive AO period and/or large changes in minimum
extent between the two summers). Version 4 extent of ice <inline-formula><mml:math id="M80" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 years old is on
average 367 000 km<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> higher than Version 3 for the first 5 years
(1984–1988) of the record. This is an effect of
the improved interpolation weighting scheme and is a quantitative indication
of the reduced speckling discussed earlier. However, the impact
dissipates over time; during the last 5 full years of the record
(2012–2016), the difference between Version 4 and Version 3 is only 42 000 km<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The amelioration of the difference is likely due to two factors:
(1) the transition from SMMR to SSM/I–SSMIS and the resulting
improved coverage and (2) the increasing number of buoys over time.<?pagebreak page1532?> As
noted above, the 2 d SMMR separation does change the motion
discretization and the spatial coverage, so the relative effect of the
buoys is greater during the SMMR era. And as buoy coverage increases over
the years, there is more overlap in buoy influence, so the change in
weighting that increases the distance of buoy influence has a relatively
smaller effect. With daily data and better spatial coverage in SSM/I, the
differences between the two versions starts to decrease. This decrease continues as
buoy coverage increases over the years. And with AMSR-E and its better
spatial resolution added in 2002, the differences drop further as the AMSR-E
motions start affecting the older ice types in the following years. By 2005,
there is very little difference between the two versions. Focusing on the
week of 19–25 February, the larger differences
between versions of ice <inline-formula><mml:math id="M83" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 years old and younger ice types are
evident (Fig. 10). The younger ice categories show smaller, generally
negative differences (i.e., less younger ice in Version 4). Thus, the
changes in Version 4 appear to improve the ice age fields by removing much
of the artificial divergence noted in Szanyi et al. (2016), thereby reducing the amount of
younger ice and increasing the amount of older ice. However, the impact of the version change decreases over time
such that there little impact on the age distribution in recent years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e1675">Time series of fraction of total sea ice coverage by sea ice age
category for the week of 19–25 February 1984–2019. These time series are for
the Arctic Ocean region, which is the region shaded in orange in the lower
right inset image (Perovich et al., 2019), used to include only regions were
MYI may exist at a non-negligible level.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/1519/2020/tc-14-1519-2020-f11.png"/>

      </fig>

      <p id="d1e1684">Both versions of the ice age field show a transition from one dominated by
older ice to one dominated by younger ice (Fig. 11). Interannual
variability is evident in all ice age classes, particularly first-year ice, which is not surprising given the variability in the summer ice cover.
Less variability is seen in older ice. Nonetheless, the decline in older ice
is apparent during the persistent positive
mode of the Arctic oscillation in the late 1980s through the mid-1990s (Rigor et al., 2002). After 1994, there was some recovery
in multiyear ice before beginning a significant decline after 2004. Linear
trends are estimated for the Arctic Ocean region. This is a region bounded
by the northern coasts of the continents, the Bering Strait, Fram Strait,
and the <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridian between Svalbard and the
Fennoscandian Peninsula. The total area of the region is <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Using this region excises areas where only
first-year ice exists, so it focuses on the areas where there is variability
in the ice age. There is a strong increasing trend in ice <inline-formula><mml:math id="M88" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 year old (Table 3) and a similar decreasing trend in ice <inline-formula><mml:math id="M89" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 years old. Trends in the
intermediate ages (1–4 years old) are smaller. This is partly due to smaller
extents of these ages as well as the fact that ice transitions through
these categories between the larger extents of the oldest and youngest
ice.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1748">Linear trends for ice ages over three periods. The main values are
for Version 4, with Version 3 values in italics on the line below. These
values are for the Arctic Ocean region.</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>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Sea ice age</oasis:entry>

         <oasis:entry colname="col2">1984–2017 trend</oasis:entry>

         <oasis:entry colname="col3">1984–1996 trend</oasis:entry>

         <oasis:entry colname="col4">1997–2017 trend</oasis:entry>

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

         <oasis:entry colname="col2">(km<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col4">(km<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">0–1</oasis:entry>

         <oasis:entry colname="col2">69 200  <italic>(67 700)</italic></oasis:entry>

         <oasis:entry colname="col3">96 200  <italic>(94 000)</italic></oasis:entry>

         <oasis:entry colname="col4">92 500  <italic>(95 600)</italic></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">1–2</oasis:entry>

         <oasis:entry colname="col2">10 500  <italic>(4900)</italic></oasis:entry>

         <oasis:entry colname="col3">22 100  <italic>(18 000)</italic></oasis:entry>

         <oasis:entry colname="col4">4500  (<inline-formula><mml:math id="M96" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>3500)</italic></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">2–3</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4900</mml:mn></mml:mrow></mml:math></inline-formula>  (<inline-formula><mml:math id="M98" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>7300)</italic></oasis:entry>

         <oasis:entry colname="col3">10 000  <italic>(2000)</italic></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 500  (<inline-formula><mml:math id="M100" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>11 900)</italic></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">3–4</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 100  (<inline-formula><mml:math id="M102" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>11 200)</italic></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11 400  (<inline-formula><mml:math id="M104" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>9000)</italic></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16 100  (<inline-formula><mml:math id="M106" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>16 700)</italic></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"><inline-formula><mml:math id="M107" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75 500  (<inline-formula><mml:math id="M109" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>64 800)</italic></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104 100  (<inline-formula><mml:math id="M111" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>91 000)</italic></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>93 300  (<inline-formula><mml:math id="M113" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula><italic>88 000)</italic></oasis:entry>

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

</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e2085">New versions (4.0) of the sea ice motion (Tschudi et al., 2019a) and sea ice age (Tschudi et al., 2019b)
datasets have been produced and are now available at NSIDC. Routine updates
will regularly occur when the underlying data – buoy positions, brightness
temperature fields, and sea ice concentration fields –
become available. This is expected to occur every few months.</p>
      <p id="d1e2088">Arctic sea ice motion vectors are currently constructed by merging motion
vectors estimated using three sources: buoys, passive-microwave satellite
imagery, and winds from NCEP–NCAR. In the Antarctic, only the satellite
imagery vectors are used. Sea ice age is produced for the Arctic using the
weekly sea ice motion product as input, tracking ice parcels, and aging them
each year if they neither melt nor advect out of the ice pack.</p>
      <p id="d1e2091">The most recent sea ice motion algorithm revision incorporates improvements
such as an improved vector weighting scheme, corrections to passive-microwave vectors, new browse imagery, and the underlying code base through
the use of Python. Furthermore, the Version 4.0 upgrade addresses artifacts
in the ice motion resulting from the interpolation. These artifacts did have a
noticeable effect on the weekly motion and age fields early in the record,
but in more recent years, the effect of these artifacts is diminished due in
large part to many more buoys in the Arctic, which results in overlapping
influence of buoys and thus fewer artifacts.</p>
      <p id="d1e2094">We note the decrease in older sea ice over the ice age record, from the
1980s, when older ice constituted
<inline-formula><mml:math id="M114" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 % of the ice pack, to recent years, when older ice
occupied less than 5 % of the pack. Tschudi et al. (2016) compared ice age to ice
thickness derived from ICESat (Kwok et al., 2009; Kwok and Cunningham, 2008) and NASA's IceBridge
campaign (Kurtz et al., 2012, 2013). They found that the thickness–age relationship has
an approximate linear fit for the ICESat dataset but that the relationship
was much more variable for IceBridge due to the Arctic basin-wide coverage of ICESat
thickness data and the more limited areal<?pagebreak page1533?> coverage for IceBridge
aircraft-acquired data. The relationship found between ice age and thickness
for the basin-wide ICESat dataset suggests that the ice age product may be
used as a general indication of the sea ice thickness distribution and
could be compared to other Arctic basin-wide sea ice thickness estimations,
such as those from CryoSat-2 (Salilla et al., 2019).</p>
      <p id="d1e2105">The ice motion and age products are continuously being improved. We plan to
utilize passive-microwave imagery from the AMSR2 instrument aboard the
GCOM-1 satellite in a future release of the motion product, which may reduce
the error in motion due to the improved higher spatial resolution of AMSR2
over SSMIS. We also plan to further improve the age product by categorizing
the age distribution in each EASE grid cell (as suggested by Korosov et al., 2018)
instead of retaining only the oldest ice age. Other improvements in the sea
ice motion and age products are under consideration.</p>
</sec>

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

      <p id="d1e2112">All data used in this paper are publicly accessible. The sea ice motion and sea ice age datasets are archived by the NSIDC DAAC.  SMMR–SSM/I–SSMIS brightness temperatures and sea ice concentrations and AMSR-E brightness temperatures are also archived at the NSIDC DAAC. NCEP reanalysis data, IABP buoys, and CRELL buoys are also publicly available, as referenced in the paper.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2115">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-14-1519-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-14-1519-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2124">MT and WM contributed significantly to the writing of this paper. JSS led the data processing effort and assisted with the writing of the paper. All figures were produced by the authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2130">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2136">The authors thank Bruno Tremblay and three anonymous reviewers for their helpful reviews of
this paper.</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2142">This research has been supported by the NASA Cryospheric Sciences Program (grant no. NNX16AQ41G).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2149">This paper was edited by John Yackel and reviewed by Bruno Tremblay and three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Aaboe, S., Breivik, L.-A., Sørensen, A., Eastwood, S., and Lavergne, T.: Ocean &amp; Sea Ice SAF Global Sea Ice Edge and Type Product User's Manual, available at:
<uri>http://osisaf.met.no/docs/osisaf_cdop3_ss2_pum_sea-ice-edge-type_v2p2.pdf</uri> (last access: 7 February 2020), 2017.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Anderson, M. R., Bliss, A. C., and Tschudi, M.: MEaSUREs Arctic Sea Ice
Characterization 25 km EASE-Grid
2.0. Boulder, Colorado, USA, NASA DAAC at the National Snow and Ice Data
Center, <ext-link xlink:href="https://doi.org/10.5067/MEASURES/CRYOSPHERE/nsidc-0532.001" ext-link-type="DOI">10.5067/MEASURES/CRYOSPHERE/nsidc-0532.001</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Brodzik, M. J. and Knowles, K. W.: EASE-Grid: A Versatile Set of
Equal-Area Projections and Grids, in: Discrete Global Grids, edited by:
Goodchild, M., Santa Barbara, California, USA,
National Center for Geographic Information &amp; Analysis, 2002.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Cavalieri, D. J., Parkinson, C. L., Gloersen, P., and Zwally, H. J.: Sea Ice
Concentrations from Nimbus-7 SMMR and DMSP SSM/I-SSMIS Passive Microwave
Data, Version 1, Boulder, Colorado, USA, NASA National Snow
and Ice Data Center Distributed Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/8GQ8LZQVL0VL" ext-link-type="DOI">10.5067/8GQ8LZQVL0VL</ext-link>,
1996, updated yearly.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Cavalieri, D. J., Markus, T., and Comiso, J. C.: AMSR-E/Aqua Daily L3 12.5 km Brightness Temperature, Sea Ice Concentration, &amp; Snow Depth Polar Grids, Version 3, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/AMSR-E/AE_SI12.003" ext-link-type="DOI">10.5067/AMSR-E/AE_SI12.003</ext-link>, 2014a.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Cavalieri, D. J., Markus, T., and Comiso, J. C.: AMSR-E/Aqua Daily L3 6.25 km 89 GHz Brightness Temperature Polar Grids, Version 3, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed Active Archive
Center, <ext-link xlink:href="https://doi.org/10.5067/AMSR-E/AE_SI6.003" ext-link-type="DOI">10.5067/AMSR-E/AE_SI6.003</ext-link>,
2014b.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>
Cohen, J., Screen,  J. A., Furtado, J. C., Barlow, M., Whittleston, D., Coumou, D., Francis, J., Dethloff, K., Entekhabi, D., Overland, J., and Jones, J.: Arctic amplification and extreme mid-latitude weather,
Nat. Geosci., 7, 627–637, 2014.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Comiso, J. C., Meier, W. N., and Gersten, R.: Variability and trends in
the Arctic sea ice cover: Results from different techniques, J. Geophys.
Res., 122, 6883–6900, <ext-link xlink:href="https://doi.org/10.1002/2017JC012768" ext-link-type="DOI">10.1002/2017JC012768</ext-link>, 2017a.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Comiso, J. C., Gersten, R. A., Stock, L. V., Turner, J., Perez, G. J., and
Cho, K.: Positive trend in the Antarctic sea ice cover and associated
changes in surface temperature, J. Climate, 30, 2251–2267, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0408.1" ext-link-type="DOI">10.1175/JCLI-D-16-0408.1</ext-link>, 2017b.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Comiso, J. C.: Large Decadal Decline of the Arctic Multiyear Ice Cover, J.
Climate, 25, 1176–1193, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-11-00113.1" ext-link-type="DOI">10.1175/JCLI-D-11-00113.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Comiso, J. C., Parkinson, C. L., Gersten, R., and Stock, L.: Accelerated
decline in the Arctic sea ice cover, Geophys.
Res. Lett., 35, L01703, <ext-link xlink:href="https://doi.org/10.1029/2007GL031972" ext-link-type="DOI">10.1029/2007GL031972</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Curlander, J., Holt, B., and Hussey, K.: Determination of sea ice motion
using digital SAR imagery, J. Ocean Eng., 10, 358–367, <ext-link xlink:href="https://doi.org/10.1109/JOE.1985.1145134" ext-link-type="DOI">10.1109/JOE.1985.1145134</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Dybkjaer, G.: Algorithm Theoretical Basis Document for OSI SAF medium
resolution sea ice drift product, OSI-407-a, Version 2.3, 25 pp.,
available at: <uri>http://osisaf.met.no/docs/osisaf_ss2_atbd_sea-ice-drift-mr_v2p3.pdf</uri> (last access: 8 February 2020), 2018.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Emery, W. J., Thomas, A. C., Collins, M. J., Crawford, W. R., and Mackas, D. L.:
An objective method for computing advective surface velocities from
sequential infrared satellite images, J. Geophys. Res., 91, 12865–12878, <ext-link xlink:href="https://doi.org/10.1029/JC091iC11p12865" ext-link-type="DOI">10.1029/JC091iC11p12865</ext-link>, 1986.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Emery, W. J., Fowler, C. W., Hawkins, J., and Preller, R. H.: Fram Strait
satellite image derived ice motions, J. Geophys. Res., 96, 4751–4768, <ext-link xlink:href="https://doi.org/10.1029/90JC02273" ext-link-type="DOI">10.1029/90JC02273</ext-link>, 1991.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>
Emery, W. J., Fowler, C., and Maslanik, J: Satellite remote sensing of ice
motion, in: Oceanographic Applications of Remote Sensing, edited by: Motoyoshi, I. and Dobson, F. W., CRC Press, Boca
Raton, FL, 1995.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Emery, W., Fowler, C., Haran, T., Key, J., Maslanik, J., and Scambos, T.:
AVHRR Polar Pathfinder Twice-Daily 5 km EASE-Grid Composites, Version 3, Boulder, CA, USA, NSIDC: National Snow and Ice Data Center, <ext-link xlink:href="https://doi.org/10.5067/HRMXN6PE1Q0Q" ext-link-type="DOI">10.5067/HRMXN6PE1Q0Q</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Fowler, C. F., Emery, W. J., and Maslanik, J. A.: Satellite-derived evolution
of Arctic sea ice age: October 1978 to March 2003, IEEE Geo. Remote Sens.
Lett., <ext-link xlink:href="https://doi.org/10.1109/LGRS.2004.824741" ext-link-type="DOI">10.1109/LGRS.2004.824741</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Francis, J. A. and Vavrus, S. J.: Evidence linking Arctic amplification to
extreme weather in mid-latitudes, Geophys. Res. Lett., 39, L06801,
<ext-link xlink:href="https://doi.org/10.1029/2012GL051000" ext-link-type="DOI">10.1029/2012GL051000</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Francis, J. A., Hunter, E., Key, J. R., and Wang, X.: Clues to variability in
Arctic minimum sea ice extent, Geophys.
Res. Lett., 32, L21501, <ext-link xlink:href="https://doi.org/10.1029/2005GL024376" ext-link-type="DOI">10.1029/2005GL024376</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Francis, J. A. and Hunter, E: Clues to changes in Arctic
summer-minimum sea ice extent, 14th Conference on Satellite Meteorology and
Oceanography, Atlanta, GA, 28 January–2 February 2006, <ext-link xlink:href="https://doi.org/10.1029/2005GL024376" ext-link-type="DOI">10.1029/2005GL024376</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Girard-Ardhuin, F. and Ezraty, R.: Enhanced Arctic sea ice drift estimation
merging radiometer and scatterometer data, IEEE T. Geosci. Remote, 50, 2639–2648, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2012.2184124" ext-link-type="DOI">10.1109/TGRS.2012.2184124</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Gloersen, P.: Nimbus-7 SMMR Polar Gridded Radiances and Sea Ice
Concentrations, Version 1, Boulder, CA, USA, NASA National Snow and Ice
Data Center Distributed Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/QOZIVYV3V9JP" ext-link-type="DOI">10.5067/QOZIVYV3V9JP</ext-link>,
2006.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Howell, S. L., Komarov, A. S., Dabboor, M., Montpetit, B., Brady, M.,
Scharien, R. K., Mahmud, M. S., Nandan, V.,
Geldsetzer, T., and Yackel, J. J.: Comparing L- and C-band synthetic aperture
radar estimates of sea ice motion over different ice regimes, Remote Sens. Environ., 204,
380–391, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2017.10.017" ext-link-type="DOI">10.1016/j.rse.2017.10.017</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Huntington, H. P., Hamilton, L. C., Brunner, R., Lynch, A., Nicolson, C.,
Ogilvie, A. E. J., and Voinov, A.: Toward understanding the human dimensions of the rapidly changing arctic system: insights and approaches from five HARC
projects, Reg. Environ. Change, 7, 173–186, <ext-link xlink:href="https://doi.org/10.1007/s10113-007-0038-0" ext-link-type="DOI">10.1007/s10113-007-0038-0</ext-link>,
2007.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>IABP: International Arctic Buoy Programme: updated periodically, available
at: <uri>http://iabp.apl.washington.edu/index.html</uri>, last access: 17 February 2020.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Johannessen, O. M., Shalina, E. V., and Miles, W. M.: Satellite evidence for an Arctic sea ice cover in transformation,
Science, 286, 1937–1939, <ext-link xlink:href="https://doi.org/10.1126/science.286.5446.1937" ext-link-type="DOI">10.1126/science.286.5446.1937</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Kalnay, E., Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L.,
Iredell, M., Saha, S., White, G., Woollen, J., and Zhu, Y.: The NCEP/NCAR 40-year reanalysis project, B. Am. Meteorol. Soc., 77, 437–471, <ext-link xlink:href="https://doi.org/10.1175/1520-0477(1996)077&lt;0437:TNYRP&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0477(1996)077&lt;0437:TNYRP&gt;2.0.CO;2</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Korosov, A. A., Rampal, P., Pedersen, L. T., Saldo, R., Ye, Y., Heygster, G., Lavergne, T., Aaboe, S., and Girard-Ardhuin, F.: A new tracking algorithm for sea ice age distribution estimation, The Cryosphere, 12, 2073–2085, <ext-link xlink:href="https://doi.org/10.5194/tc-12-2073-2018" ext-link-type="DOI">10.5194/tc-12-2073-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Kurtz, N., Studinger, M., Harbeck, J., Onana, V., and Farrell, S.: IceBridge
Sea Ice Freeboard, Snow Depth, and Thickness, Version 1, Boulder, CA, USA. NASA DAAC at the National Snow and Ice Data Center, <ext-link xlink:href="https://doi.org/10.5067/7XJ9HRV50O57" ext-link-type="DOI">10.5067/7XJ9HRV50O57</ext-link>, 2012, updated 2015.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Kurtz, N. T., Farrell, S. L., Studinger, M., Galin, N., Harbeck, J. P., Lindsay, R., Onana, V. D., Panzer, B., and Sonntag, J. G.: Sea ice thickness, freeboard, and snow depth products from Operation IceBridge airborne data, The Cryosphere, 7, 1035–1056, <ext-link xlink:href="https://doi.org/10.5194/tc-7-1035-2013" ext-link-type="DOI">10.5194/tc-7-1035-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Kurtz, N. T., Galin, N., and Studinger, M.: An improved CryoSat-2 sea ice freeboard retrieval algorithm through the use of waveform fitting, The Cryosphere, 8, 1217–1237, <ext-link xlink:href="https://doi.org/10.5194/tc-8-1217-2014" ext-link-type="DOI">10.5194/tc-8-1217-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Kwok, R.: Summer sea ice motion from the 18 GHz channel of AMSR-E and the
exchange of sea ice between the Pacific and Atlantic sectors, Geophys. Res. Lett., 35, L03504,
<ext-link xlink:href="https://doi.org/10.1029/2007GL032692" ext-link-type="DOI">10.1029/2007GL032692</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Kwok, R.: Arctic sea ice thickness, volume, and multiyear ice coverage:
losses and coupled variability (1958–2018), Environ. Res. Lett., 13, 105005, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aae3ec" ext-link-type="DOI">10.1088/1748-9326/aae3ec</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Kwok, R. and Cunningham, G. F.: ICESat over Arctic sea ice: Estimation of
snow depth and ice thickness, J. Geophys. Res., 113, C08010,
<ext-link xlink:href="https://doi.org/10.1029/2008JC004753" ext-link-type="DOI">10.1029/2008JC004753</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Kwok, R., Schweiger, A., Rothrock, D. A., Pang, S., and Kottmeier, C.: Sea
ice motion from satellite passive microwave imager<?pagebreak page1535?>y assessed with ERS SAR and buoy motions. J. Geophys.
Res., 103, 8191–8214, <ext-link xlink:href="https://doi.org/10.1029/97JC03334" ext-link-type="DOI">10.1029/97JC03334</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Kwok, R., Cunningham, G. F., and Hibler, W. D.: Sub-daily sea ice motion and
deformation from RADARSAT observations, Geophys. Res. Lett., 30, 2218, <ext-link xlink:href="https://doi.org/10.1029/2003GL018723" ext-link-type="DOI">10.1029/2003GL018723</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Kwok, R., Cunningham, G. F., Wensnahan, M., Rigor, I., Zwally, H. J., and Yi,
D.: Thinning and volume loss of the Arctic Ocean sea ice cover: 2003–2008,
J. Geophys. Res., 114, C07005, <ext-link xlink:href="https://doi.org/10.1029/2009JC005312" ext-link-type="DOI">10.1029/2009JC005312</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Lavergne, T., Eastwood, S., Teffah, Z., Schyberg, H., and Breivik, L.-A.: Sea
ice motion from low resolution satellite sensors: an alternative method and
its validation in the Arctic, J. Geophys. Res., 115, C10032,
<ext-link xlink:href="https://doi.org/10.1029/2009JC005958" ext-link-type="DOI">10.1029/2009JC005958</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Laxon, S. W., Giles, K. A., Ridout, A. L., Wingham, D. J., Willatt, R., Cullen, R., Kwok, R., Schweiger, A., Zhang, J., Haas, C., Hendricks, S., Krishfield, R., Kurtz, N., Farrell, S., and Davidson, M.: CryoSat-2 estimates of Arctic sea ice thickness and
volume, Geophys. Res. Lett., 40, 1–6,
<ext-link xlink:href="https://doi.org/10.1002/GRL.50193" ext-link-type="DOI">10.1002/GRL.50193</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Lee, S.-M., Sohn, B.-J., and Kim, S.-J.: Differentiating between first-year
and multiyear sea ice in the Arctic using microwave-retrieved emissivities,
J. Geophys. Res., 122, 5097–5112, <ext-link xlink:href="https://doi.org/10.1002/2016JD026275" ext-link-type="DOI">10.1002/2016JD026275</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Lynch, A. H., Curry, J. A., Brunner, R. D., and Maslanik, J. A.: Towards an
integrated assessment of the impacts of extreme wind events on Barrow, Alaska, B. Am. Meteorol. Soc., 85,
209–221, <ext-link xlink:href="https://doi.org/10.1175/BAMS-85-" ext-link-type="DOI">10.1175/BAMS-85-</ext-link> 2-209, 2004.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Markus, T., Neumann, T., Martino, A., Abdalati, W., Brunt, K., Csatho, B., Farrell, S., Fricker, H., Gardner, A., Harding, D., Jasinski, M., Kwok, R., Magruder, L., Lubin, D., Luthcke, S., Morison, J., Nelson, R., Neuenschwander, A., Palm, S., and Zwally, H.: The Ice, Cloud, and land Elevation
Satellite-2 (ICESat-2): Science requirements, concept, and implementation,
Remote Sens. Environ., 190, 260–273, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2016.12.029" ext-link-type="DOI">10.1016/j.rse.2016.12.029</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Maslanik, J., Stroeve, J., Fowler, C., and Emery, W.: Distribution and trends
in Arctic sea ice age through spring 2011, Geophys. Res. Lett., 38, L13502, <ext-link xlink:href="https://doi.org/10.1029/2011GL047735" ext-link-type="DOI">10.1029/2011GL047735</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Maslanik, J.A., Fowler, C., Stroeve, J., Drobot, S., Zwally, J., Yi, D., and
Emery, W.: A younger, thinner Arctic ice cover: Increased potential for
rapid, extensive sea-ice loss, Geophys. Res. Lett., 34, L24501,
<ext-link xlink:href="https://doi.org/10.1029/2007GL032043" ext-link-type="DOI">10.1029/2007GL032043</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Maslanik, J. and Stroeve, J.: DMSP SSM/I-SSMIS Daily Polar Gridded Brightness Temperatures, Version 4, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/AN9AI8EO7PX0" ext-link-type="DOI">10.5067/AN9AI8EO7PX0</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Maslanik, J. and Stroeve, J.: Near-Real-Time DMSP SSMIS Daily Polar Gridded
Sea Ice Concentrations, Version Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/U8C09DWVX9LM" ext-link-type="DOI">10.5067/U8C09DWVX9LM</ext-link>, 1999, updated
daily.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Maykut, G. A.: The heat and mass balance, in: The Geophysics of Sea
Ice, edited by: Untersteiner, N., NATO ASI
series (Series B, Physics), Springer, Boston, MA, 146, 395–463,
<ext-link xlink:href="https://doi.org/10.1007/978-1-4899-5352-0_1" ext-link-type="DOI">10.1007/978-1-4899-5352-0_1</ext-link>, 1986.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Meier, W. N., Maslanik, J. A., and Fowler, C. W.: Error analysis and
assimilation of remotely sensed ice motion within an Arctic sea ice model,
J. Geophys. Res., 105, 3339–3356, <ext-link xlink:href="https://doi.org/10.1029/1999JC900268" ext-link-type="DOI">10.1029/1999JC900268</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Meier, W. N. and Dai, M.: High-resolution sea-ice motions from AMSR-E
imagery, Ann. Glaciol., 44, 352–356, <ext-link xlink:href="https://doi.org/10.3189/172756406781811286" ext-link-type="DOI">10.3189/172756406781811286</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Meier, W. N., Hovelsrud, G., van Oort, B., Key, J., Kovacs, K., Michel, C., Granskog, M., Gerland, S., Perovich, D., Makshtas, A. P., and Reist, J.: Arctic sea ice in transformation: A review of recent
observed changes and impacts on biology and human activity, Rev. Geophys.,
51, 185–217, <ext-link xlink:href="https://doi.org/10.1002/2013RG000431" ext-link-type="DOI">10.1002/2013RG000431</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Overland, J. E.: A difficult Arctic science issue: Midlatitude weather
linkages, Polar Sci., 10, 210–216, <ext-link xlink:href="https://doi.org/10.1016/j.polar.2016.04.011" ext-link-type="DOI">10.1016/j.polar.2016.04.011</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Parkinson, C. L. and Cavalieri, D. J.: Antarctic sea ice variability and trends, 1979–2010, The Cryosphere, 6, 871–880, <ext-link xlink:href="https://doi.org/10.5194/tc-6-871-2012" ext-link-type="DOI">10.5194/tc-6-871-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Perovich, D., Meier, W., Tschudi, M., Farrell, S., Hendricks, S., Gerland,
S., Gerland, S., Kaleschke, L., Ricker, R., Tian-Kunze, X., Webster, M., and
Wood, K.: Sea Ice, Arctic Report Card 2019, available at: <uri>https://www.arctic.noaa.gov/Report-Card</uri> (last access: 28 February 2020),
2019.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Pizzolato, L., Howell, S. E. L., Dawson, J., Laliberté, F., and
Copland, L.: The influence of declining sea ice on
shipping activity in the Canadian Arctic, Geophys. Res. Lett., 43, 12146–12154, <ext-link xlink:href="https://doi.org/10.1002/2016GL071489" ext-link-type="DOI">10.1002/2016GL071489</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Rigor, I. G. and Wallace, J. M.: Variations in the age of Arctic sea-ice and
summer sea-ice extent, Geophys. Res. Lett., 31, L09401, <ext-link xlink:href="https://doi.org/10.1029/2004GL019492" ext-link-type="DOI">10.1029/2004GL019492</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Rigor, I. G., Wallace, J. M., and Colony, R. L.: Response of sea ice to the
Arctic Oscillation, J. Climate, 15, 2648–2663,
<ext-link xlink:href="https://doi.org/10.1175/1520-0442(2002)015&lt;2648:ROSITT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(2002)015&lt;2648:ROSITT&gt;2.0.CO;2</ext-link>,
2002.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Sallila, H., Farrell, S. L., McCurry, J., and Rinne, E.: Assessment of contemporary satellite sea ice thickness products for Arctic sea ice, The Cryosphere, 13, 1187–1213, <ext-link xlink:href="https://doi.org/10.5194/tc-13-1187-2019" ext-link-type="DOI">10.5194/tc-13-1187-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Spreen, G., Kwok, R., and Menemenlis, D.: Trends in Arctic sea ice drift
and role of wind forcing: 1992–2009, Geophys. Res. Lett., 38, L19501, <ext-link xlink:href="https://doi.org/10.1029/2011GL048970" ext-link-type="DOI">10.1029/2011GL048970</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Stroeve, J., Barrett, A., Serreze, M., and Schweiger, A.: Using records from submarine, aircraft and satellites to evaluate climate model simulations of Arctic sea ice thickness, The Cryosphere, 8, 1839–1854, <ext-link xlink:href="https://doi.org/10.5194/tc-8-1839-2014" ext-link-type="DOI">10.5194/tc-8-1839-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Stroeve, J. C., Serreze, M. C., Kay, J. E., Holland, M. M., Meier, W. N., and
Barrett, A. P.: The Arctic's rapidly shrinking sea ice cover: A research
synthesis, Clim. Change,  110, 1005–1027, <ext-link xlink:href="https://doi.org/10.1007/s10584-011-1010-1" ext-link-type="DOI">10.1007/s10584-011-1010-1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Sumata, H., Lavergne, T., Girard-Ardhuin, F., Kimura, N., Tschudi, M. A.,
Kauker, F., Karcher, M., and Gerdes, R.: An intercomparison of Arctic ice drift products to deduce uncertainty
estimates, J. Geophys. Res.-Oceans, 119, 4887–4921, <ext-link xlink:href="https://doi.org/10.1002/2013JC009724" ext-link-type="DOI">10.1002/2013JC009724</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Sumata, H., Kwok, R., Gerdes, R., Kauker, F., and Karcher, M.: Empirical error functions for monthly mean
Arctic sea-ice drift, J. Geophys. Res.-Oceans, 120, 7450–7475, <ext-link xlink:href="https://doi.org/10.1002/2015JC011151" ext-link-type="DOI">10.1002/2015JC011151</ext-link>, 2015.</mixed-citation></ref>
      <?pagebreak page1536?><ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Szanyi, S., Lukovich, J. V., Barber, D. G., and Haller, G.: Persistent
artifacts in the NSIDC ice motion data st and
their implications for analysis, Geophys. Res. Lett., 43, 10800–10807,
<ext-link xlink:href="https://doi.org/10.1002/2016GL069799" ext-link-type="DOI">10.1002/2016GL069799</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>Thorndike, A. S. and Colony, R.: Sea ice
motion in response to geostrophic winds, J. Geophys. Res., 87, 5845–5852, <ext-link xlink:href="https://doi.org/10.1029/JC087iC08p05845" ext-link-type="DOI">10.1029/JC087iC08p05845</ext-link>, 1982.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Tilling, R. L., Ridout, A., and Shepherd, A.: Near-real-time Arctic sea ice thickness and volume from CryoSat-2, The Cryosphere, 10, 2003–2012, <ext-link xlink:href="https://doi.org/10.5194/tc-10-2003-2016" ext-link-type="DOI">10.5194/tc-10-2003-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>Tschudi, M., Meier, W. N., Stewart, J. S., Fowler, C., and Maslanik, J.:
Polar Pathfinder Daily 25 km EASE-Grid Sea Ice Motion Vectors, Version 4,
Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/INAWUWO7QH7B" ext-link-type="DOI">10.5067/INAWUWO7QH7B</ext-link>, 2019a.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Tschudi, M., Meier, W. N., Stewart, J. S., Fowler, C., and Maslanik, J.:
EASE-Grid Sea Ice Age, Version 4. Boulder, CA, USA, NASA National Snow
and Ice Data Center Distributed Active Archive Center, <ext-link xlink:href="https://doi.org/10.5067/UTAV7490FEPB" ext-link-type="DOI">10.5067/UTAV7490FEPB</ext-link>, 2019b.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Tschudi, M. A., Stroeve, J. C., and Stewart, J. S.: Relating the Age of
Arctic Sea Ice to its Thickness, as Measured during NASA's ICESat and
IceBridge Campaigns, Remote Sens., 8, 457, <ext-link xlink:href="https://doi.org/10.3390/rs8060457" ext-link-type="DOI">10.3390/rs8060457</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>Tschudi, M. A., Fowler, C., Maslanik, J. A., and Stroeve, J. C.: Tracking the
movement and changing surface characteristics of Arctic sea ice,  IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 3, 536–540, <ext-link xlink:href="https://doi.org/10.1109/JSTARS.2010.2048305" ext-link-type="DOI">10.1109/JSTARS.2010.2048305</ext-link>, 2010.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Tucker III, W. B., Weatherly, J. W., Eppler, D. T., Farmer, L. D., and
Bentley, D. L.: Evidence for rapid thinning of sea ice in the western Arctic Ocean
at the end of the 1980s, Geophys. Res. Lett., 28, 2851–2854, <ext-link xlink:href="https://doi.org/10.1029/2001GL012967" ext-link-type="DOI">10.1029/2001GL012967</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Uttal, T., Curry, J. A., McPhee, M. G., Perovich, D. K., Moritz, R. E., Maslanik, J. A., Guest, P. S., Stern, H. L., Moore, J. A., Turenne, R., Heiberg, A., Serreze, M. C., Wylie, D. P., Persson, O. G., Paulson, C. A., Halle, C., Morison, J. H., Wheeler, P. A., Makshtas, A., Welch, H., Shupe, M. D., Intrieri, J. M., Stamnes, K., Lindsey, R. W., Pinkel, R., Pegau, W. S., Stanton, T. P., and Grenfeld, T. C.: Surface Heat Budget of the Arctic Ocean, B. Am. Meteorol. Soc., 83,
255–275, <ext-link xlink:href="https://doi.org/10.1175/1520-0477(2002)083&lt;0255:SHBOTA&gt;2.3.CO;2" ext-link-type="DOI">10.1175/1520-0477(2002)083&lt;0255:SHBOTA&gt;2.3.CO;2</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>Vermaire, J. C., Pisaric, M. F. J., Thienpont, J. R., Mustaphi, C. J., Kokelj, S. V., and Smol, J. P.: Arctic climate warming and sea ice declines lead to increased
storm surge activity, Geophys. Res. Lett., 40, 1386–1390, <ext-link xlink:href="https://doi.org/10.1002/grl.50191" ext-link-type="DOI">10.1002/grl.50191</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>Yu, Y., Maykut, G. A., and Rothrock, D. A.: Changes in the thickness
distribution of Arctic sea ice between 1958–1970 and 1993–1997, J. Geophys. Res., 109, C08004, <ext-link xlink:href="https://doi.org/10.1029/2003JC001982" ext-link-type="DOI">10.1029/2003JC001982</ext-link>, 2004.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>An enhancement to sea ice motion and age products at the National Snow and Ice Data Center (NSIDC)</article-title-html>
<abstract-html><p>A new version of sea ice motion and age products includes several
significant upgrades in processing, corrects known issues with the previous
version, and updates the time series through 2018, with regular updates planned for the future. First, we provide a history
of these NASA products distributed at the National Snow and Ice Data Center.
Then we discuss the improvements to the algorithms, provide validation
results for the new (Version 4) and older versions, and intercompare the two.
While Version 4 algorithm changes were significant, the impact on the
products is relatively minor, particularly for more recent years. The
changes in Version 4 reduce motion biases by  ∼ &thinsp;0.01 to 0.02&thinsp;cm&thinsp;s<sup>−1</sup> and error standard deviations by  ∼ &thinsp;0.3&thinsp;cm&thinsp;s<sup>−1</sup>. Overall, ice speed increased in
Version 4 over Version 3 by 0.5 to 2.0&thinsp;cm&thinsp;s<sup>−1</sup> over most of the time series.
Version 4 shows a higher positive trend for the Arctic of 0.21&thinsp;cm&thinsp;s<sup>−1</sup> per decade
compared to 0.13&thinsp;cm&thinsp;s<sup>−1</sup> per decade for Version 3. The new version of ice age
estimates indicates more older ice than Version 3, especially earlier in the
record, but similar trends toward less multiyear ice. Changes in sea ice
motion and age derived from the product show a significant shift in the
Arctic ice cover, from a pack with a high concentration of older ice to a sea ice cover
dominated by first-year ice, which is more susceptible to summer melt. We
also observe an increase in the speed of the ice over the time series  ≥ &thinsp;30 years, which has been shown in other studies and is anticipated with the
annual decrease in sea ice extent.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Aaboe, S., Breivik, L.-A., Sørensen, A., Eastwood, S., and Lavergne, T.: Ocean &amp; Sea Ice SAF Global Sea Ice Edge and Type Product User's Manual, available at:
<a href="http://osisaf.met.no/docs/osisaf_cdop3_ss2_pum_sea-ice-edge-type_v2p2.pdf" target="_blank"/> (last access: 7 February 2020), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Anderson, M. R., Bliss, A. C., and Tschudi, M.: MEaSUREs Arctic Sea Ice
Characterization 25&thinsp;km EASE-Grid
2.0. Boulder, Colorado, USA, NASA DAAC at the National Snow and Ice Data
Center, <a href="https://doi.org/10.5067/MEASURES/CRYOSPHERE/nsidc-0532.001" target="_blank">https://doi.org/10.5067/MEASURES/CRYOSPHERE/nsidc-0532.001</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Brodzik, M. J. and Knowles, K. W.: EASE-Grid: A Versatile Set of
Equal-Area Projections and Grids, in: Discrete Global Grids, edited by:
Goodchild, M., Santa Barbara, California, USA,
National Center for Geographic Information &amp; Analysis, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Cavalieri, D. J., Parkinson, C. L., Gloersen, P., and Zwally, H. J.: Sea Ice
Concentrations from Nimbus-7 SMMR and DMSP SSM/I-SSMIS Passive Microwave
Data, Version 1, Boulder, Colorado, USA, NASA National Snow
and Ice Data Center Distributed Active Archive Center, <a href="https://doi.org/10.5067/8GQ8LZQVL0VL" target="_blank">https://doi.org/10.5067/8GQ8LZQVL0VL</a>,
1996, updated yearly.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Cavalieri, D. J., Markus, T., and Comiso, J. C.: AMSR-E/Aqua Daily L3 12.5&thinsp;km Brightness Temperature, Sea Ice Concentration, &amp; Snow Depth Polar Grids, Version 3, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed Active Archive Center, <a href="https://doi.org/10.5067/AMSR-E/AE_SI12.003" target="_blank">https://doi.org/10.5067/AMSR-E/AE_SI12.003</a>, 2014a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Cavalieri, D. J., Markus, T., and Comiso, J. C.: AMSR-E/Aqua Daily L3 6.25&thinsp;km 89&thinsp;GHz Brightness Temperature Polar Grids, Version 3, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed Active Archive
Center, <a href="https://doi.org/10.5067/AMSR-E/AE_SI6.003" target="_blank">https://doi.org/10.5067/AMSR-E/AE_SI6.003</a>,
2014b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Cohen, J., Screen,  J. A., Furtado, J. C., Barlow, M., Whittleston, D., Coumou, D., Francis, J., Dethloff, K., Entekhabi, D., Overland, J., and Jones, J.: Arctic amplification and extreme mid-latitude weather,
Nat. Geosci., 7, 627–637, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Comiso, J. C., Meier, W. N., and Gersten, R.: Variability and trends in
the Arctic sea ice cover: Results from different techniques, J. Geophys.
Res., 122, 6883–6900, <a href="https://doi.org/10.1002/2017JC012768" target="_blank">https://doi.org/10.1002/2017JC012768</a>, 2017a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Comiso, J. C., Gersten, R. A., Stock, L. V., Turner, J., Perez, G. J., and
Cho, K.: Positive trend in the Antarctic sea ice cover and associated
changes in surface temperature, J. Climate, 30, 2251–2267, <a href="https://doi.org/10.1175/JCLI-D-16-0408.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0408.1</a>, 2017b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Comiso, J. C.: Large Decadal Decline of the Arctic Multiyear Ice Cover, J.
Climate, 25, 1176–1193, <a href="https://doi.org/10.1175/JCLI-D-11-00113.1" target="_blank">https://doi.org/10.1175/JCLI-D-11-00113.1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Comiso, J. C., Parkinson, C. L., Gersten, R., and Stock, L.: Accelerated
decline in the Arctic sea ice cover, Geophys.
Res. Lett., 35, L01703, <a href="https://doi.org/10.1029/2007GL031972" target="_blank">https://doi.org/10.1029/2007GL031972</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Curlander, J., Holt, B., and Hussey, K.: Determination of sea ice motion
using digital SAR imagery, J. Ocean Eng., 10, 358–367, <a href="https://doi.org/10.1109/JOE.1985.1145134" target="_blank">https://doi.org/10.1109/JOE.1985.1145134</a>, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Dybkjaer, G.: Algorithm Theoretical Basis Document for OSI SAF medium
resolution sea ice drift product, OSI-407-a, Version 2.3, 25 pp.,
available at: <a href="http://osisaf.met.no/docs/osisaf_ss2_atbd_sea-ice-drift-mr_v2p3.pdf" target="_blank"/> (last access: 8 February 2020), 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Emery, W. J., Thomas, A. C., Collins, M. J., Crawford, W. R., and Mackas, D. L.:
An objective method for computing advective surface velocities from
sequential infrared satellite images, J. Geophys. Res., 91, 12865–12878, <a href="https://doi.org/10.1029/JC091iC11p12865" target="_blank">https://doi.org/10.1029/JC091iC11p12865</a>, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Emery, W. J., Fowler, C. W., Hawkins, J., and Preller, R. H.: Fram Strait
satellite image derived ice motions, J. Geophys. Res., 96, 4751–4768, <a href="https://doi.org/10.1029/90JC02273" target="_blank">https://doi.org/10.1029/90JC02273</a>, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Emery, W. J., Fowler, C., and Maslanik, J: Satellite remote sensing of ice
motion, in: Oceanographic Applications of Remote Sensing, edited by: Motoyoshi, I. and Dobson, F. W., CRC Press, Boca
Raton, FL, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Emery, W., Fowler, C., Haran, T., Key, J., Maslanik, J., and Scambos, T.:
AVHRR Polar Pathfinder Twice-Daily 5&thinsp;km EASE-Grid Composites, Version 3, Boulder, CA, USA, NSIDC: National Snow and Ice Data Center, <a href="https://doi.org/10.5067/HRMXN6PE1Q0Q" target="_blank">https://doi.org/10.5067/HRMXN6PE1Q0Q</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Fowler, C. F., Emery, W. J., and Maslanik, J. A.: Satellite-derived evolution
of Arctic sea ice age: October 1978 to March 2003, IEEE Geo. Remote Sens.
Lett., <a href="https://doi.org/10.1109/LGRS.2004.824741" target="_blank">https://doi.org/10.1109/LGRS.2004.824741</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Francis, J. A. and Vavrus, S. J.: Evidence linking Arctic amplification to
extreme weather in mid-latitudes, Geophys. Res. Lett., 39, L06801,
<a href="https://doi.org/10.1029/2012GL051000" target="_blank">https://doi.org/10.1029/2012GL051000</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Francis, J. A., Hunter, E., Key, J. R., and Wang, X.: Clues to variability in
Arctic minimum sea ice extent, Geophys.
Res. Lett., 32, L21501, <a href="https://doi.org/10.1029/2005GL024376" target="_blank">https://doi.org/10.1029/2005GL024376</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Francis, J. A. and Hunter, E: Clues to changes in Arctic
summer-minimum sea ice extent, 14th Conference on Satellite Meteorology and
Oceanography, Atlanta, GA, 28 January–2 February 2006, <a href="https://doi.org/10.1029/2005GL024376" target="_blank">https://doi.org/10.1029/2005GL024376</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Girard-Ardhuin, F. and Ezraty, R.: Enhanced Arctic sea ice drift estimation
merging radiometer and scatterometer data, IEEE T. Geosci. Remote, 50, 2639–2648, <a href="https://doi.org/10.1109/TGRS.2012.2184124" target="_blank">https://doi.org/10.1109/TGRS.2012.2184124</a>,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Gloersen, P.: Nimbus-7 SMMR Polar Gridded Radiances and Sea Ice
Concentrations, Version 1, Boulder, CA, USA, NASA National Snow and Ice
Data Center Distributed Active Archive Center, <a href="https://doi.org/10.5067/QOZIVYV3V9JP" target="_blank">https://doi.org/10.5067/QOZIVYV3V9JP</a>,
2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Howell, S. L., Komarov, A. S., Dabboor, M., Montpetit, B., Brady, M.,
Scharien, R. K., Mahmud, M. S., Nandan, V.,
Geldsetzer, T., and Yackel, J. J.: Comparing L- and C-band synthetic aperture
radar estimates of sea ice motion over different ice regimes, Remote Sens. Environ., 204,
380–391, <a href="https://doi.org/10.1016/j.rse.2017.10.017" target="_blank">https://doi.org/10.1016/j.rse.2017.10.017</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Huntington, H. P., Hamilton, L. C., Brunner, R., Lynch, A., Nicolson, C.,
Ogilvie, A. E. J., and Voinov, A.: Toward understanding the human dimensions of the rapidly changing arctic system: insights and approaches from five HARC
projects, Reg. Environ. Change, 7, 173–186, <a href="https://doi.org/10.1007/s10113-007-0038-0" target="_blank">https://doi.org/10.1007/s10113-007-0038-0</a>,
2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
IABP: International Arctic Buoy Programme: updated periodically, available
at: <a href="http://iabp.apl.washington.edu/index.html" target="_blank"/>, last access: 17 February 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Johannessen, O. M., Shalina, E. V., and Miles, W. M.: Satellite evidence for an Arctic sea ice cover in transformation,
Science, 286, 1937–1939, <a href="https://doi.org/10.1126/science.286.5446.1937" target="_blank">https://doi.org/10.1126/science.286.5446.1937</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Kalnay, E., Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L.,
Iredell, M., Saha, S., White, G., Woollen, J., and Zhu, Y.: The NCEP/NCAR 40-year reanalysis project, B. Am. Meteorol. Soc., 77, 437–471, <a href="https://doi.org/10.1175/1520-0477(1996)077&lt;0437:TNYRP&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0477(1996)077&lt;0437:TNYRP&gt;2.0.CO;2</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Korosov, A. A., Rampal, P., Pedersen, L. T., Saldo, R., Ye, Y., Heygster, G., Lavergne, T., Aaboe, S., and Girard-Ardhuin, F.: A new tracking algorithm for sea ice age distribution estimation, The Cryosphere, 12, 2073–2085, <a href="https://doi.org/10.5194/tc-12-2073-2018" target="_blank">https://doi.org/10.5194/tc-12-2073-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Kurtz, N., Studinger, M., Harbeck, J., Onana, V., and Farrell, S.: IceBridge
Sea Ice Freeboard, Snow Depth, and Thickness, Version 1, Boulder, CA, USA. NASA DAAC at the National Snow and Ice Data Center, <a href="https://doi.org/10.5067/7XJ9HRV50O57" target="_blank">https://doi.org/10.5067/7XJ9HRV50O57</a>, 2012, updated 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Kurtz, N. T., Farrell, S. L., Studinger, M., Galin, N., Harbeck, J. P., Lindsay, R., Onana, V. D., Panzer, B., and Sonntag, J. G.: Sea ice thickness, freeboard, and snow depth products from Operation IceBridge airborne data, The Cryosphere, 7, 1035–1056, <a href="https://doi.org/10.5194/tc-7-1035-2013" target="_blank">https://doi.org/10.5194/tc-7-1035-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Kurtz, N. T., Galin, N., and Studinger, M.: An improved CryoSat-2 sea ice freeboard retrieval algorithm through the use of waveform fitting, The Cryosphere, 8, 1217–1237, <a href="https://doi.org/10.5194/tc-8-1217-2014" target="_blank">https://doi.org/10.5194/tc-8-1217-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Kwok, R.: Summer sea ice motion from the 18 GHz channel of AMSR-E and the
exchange of sea ice between the Pacific and Atlantic sectors, Geophys. Res. Lett., 35, L03504,
<a href="https://doi.org/10.1029/2007GL032692" target="_blank">https://doi.org/10.1029/2007GL032692</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Kwok, R.: Arctic sea ice thickness, volume, and multiyear ice coverage:
losses and coupled variability (1958–2018), Environ. Res. Lett., 13, 105005, <a href="https://doi.org/10.1088/1748-9326/aae3ec" target="_blank">https://doi.org/10.1088/1748-9326/aae3ec</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Kwok, R. and Cunningham, G. F.: ICESat over Arctic sea ice: Estimation of
snow depth and ice thickness, J. Geophys. Res., 113, C08010,
<a href="https://doi.org/10.1029/2008JC004753" target="_blank">https://doi.org/10.1029/2008JC004753</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Kwok, R., Schweiger, A., Rothrock, D. A., Pang, S., and Kottmeier, C.: Sea
ice motion from satellite passive microwave imagery assessed with ERS SAR and buoy motions. J. Geophys.
Res., 103, 8191–8214, <a href="https://doi.org/10.1029/97JC03334" target="_blank">https://doi.org/10.1029/97JC03334</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Kwok, R., Cunningham, G. F., and Hibler, W. D.: Sub-daily sea ice motion and
deformation from RADARSAT observations, Geophys. Res. Lett., 30, 2218, <a href="https://doi.org/10.1029/2003GL018723" target="_blank">https://doi.org/10.1029/2003GL018723</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Kwok, R., Cunningham, G. F., Wensnahan, M., Rigor, I., Zwally, H. J., and Yi,
D.: Thinning and volume loss of the Arctic Ocean sea ice cover: 2003–2008,
J. Geophys. Res., 114, C07005, <a href="https://doi.org/10.1029/2009JC005312" target="_blank">https://doi.org/10.1029/2009JC005312</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Lavergne, T., Eastwood, S., Teffah, Z., Schyberg, H., and Breivik, L.-A.: Sea
ice motion from low resolution satellite sensors: an alternative method and
its validation in the Arctic, J. Geophys. Res., 115, C10032,
<a href="https://doi.org/10.1029/2009JC005958" target="_blank">https://doi.org/10.1029/2009JC005958</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Laxon, S. W., Giles, K. A., Ridout, A. L., Wingham, D. J., Willatt, R., Cullen, R., Kwok, R., Schweiger, A., Zhang, J., Haas, C., Hendricks, S., Krishfield, R., Kurtz, N., Farrell, S., and Davidson, M.: CryoSat-2 estimates of Arctic sea ice thickness and
volume, Geophys. Res. Lett., 40, 1–6,
<a href="https://doi.org/10.1002/GRL.50193" target="_blank">https://doi.org/10.1002/GRL.50193</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Lee, S.-M., Sohn, B.-J., and Kim, S.-J.: Differentiating between first-year
and multiyear sea ice in the Arctic using microwave-retrieved emissivities,
J. Geophys. Res., 122, 5097–5112, <a href="https://doi.org/10.1002/2016JD026275" target="_blank">https://doi.org/10.1002/2016JD026275</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Lynch, A. H., Curry, J. A., Brunner, R. D., and Maslanik, J. A.: Towards an
integrated assessment of the impacts of extreme wind events on Barrow, Alaska, B. Am. Meteorol. Soc., 85,
209–221, <a href="https://doi.org/10.1175/BAMS-85-" target="_blank">https://doi.org/10.1175/BAMS-85-</a> 2-209, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Markus, T., Neumann, T., Martino, A., Abdalati, W., Brunt, K., Csatho, B., Farrell, S., Fricker, H., Gardner, A., Harding, D., Jasinski, M., Kwok, R., Magruder, L., Lubin, D., Luthcke, S., Morison, J., Nelson, R., Neuenschwander, A., Palm, S., and Zwally, H.: The Ice, Cloud, and land Elevation
Satellite-2 (ICESat-2): Science requirements, concept, and implementation,
Remote Sens. Environ., 190, 260–273, <a href="https://doi.org/10.1016/j.rse.2016.12.029" target="_blank">https://doi.org/10.1016/j.rse.2016.12.029</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Maslanik, J., Stroeve, J., Fowler, C., and Emery, W.: Distribution and trends
in Arctic sea ice age through spring 2011, Geophys. Res. Lett., 38, L13502, <a href="https://doi.org/10.1029/2011GL047735" target="_blank">https://doi.org/10.1029/2011GL047735</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Maslanik, J.A., Fowler, C., Stroeve, J., Drobot, S., Zwally, J., Yi, D., and
Emery, W.: A younger, thinner Arctic ice cover: Increased potential for
rapid, extensive sea-ice loss, Geophys. Res. Lett., 34, L24501,
<a href="https://doi.org/10.1029/2007GL032043" target="_blank">https://doi.org/10.1029/2007GL032043</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Maslanik, J. and Stroeve, J.: DMSP SSM/I-SSMIS Daily Polar Gridded Brightness Temperatures, Version 4, Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <a href="https://doi.org/10.5067/AN9AI8EO7PX0" target="_blank">https://doi.org/10.5067/AN9AI8EO7PX0</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Maslanik, J. and Stroeve, J.: Near-Real-Time DMSP SSMIS Daily Polar Gridded
Sea Ice Concentrations, Version Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <a href="https://doi.org/10.5067/U8C09DWVX9LM" target="_blank">https://doi.org/10.5067/U8C09DWVX9LM</a>, 1999, updated
daily.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Maykut, G. A.: The heat and mass balance, in: The Geophysics of Sea
Ice, edited by: Untersteiner, N., NATO ASI
series (Series B, Physics), Springer, Boston, MA, 146, 395–463,
<a href="https://doi.org/10.1007/978-1-4899-5352-0_1" target="_blank">https://doi.org/10.1007/978-1-4899-5352-0_1</a>, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Meier, W. N., Maslanik, J. A., and Fowler, C. W.: Error analysis and
assimilation of remotely sensed ice motion within an Arctic sea ice model,
J. Geophys. Res., 105, 3339–3356, <a href="https://doi.org/10.1029/1999JC900268" target="_blank">https://doi.org/10.1029/1999JC900268</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Meier, W. N. and Dai, M.: High-resolution sea-ice motions from AMSR-E
imagery, Ann. Glaciol., 44, 352–356, <a href="https://doi.org/10.3189/172756406781811286" target="_blank">https://doi.org/10.3189/172756406781811286</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Meier, W. N., Hovelsrud, G., van Oort, B., Key, J., Kovacs, K., Michel, C., Granskog, M., Gerland, S., Perovich, D., Makshtas, A. P., and Reist, J.: Arctic sea ice in transformation: A review of recent
observed changes and impacts on biology and human activity, Rev. Geophys.,
51, 185–217, <a href="https://doi.org/10.1002/2013RG000431" target="_blank">https://doi.org/10.1002/2013RG000431</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Overland, J. E.: A difficult Arctic science issue: Midlatitude weather
linkages, Polar Sci., 10, 210–216, <a href="https://doi.org/10.1016/j.polar.2016.04.011" target="_blank">https://doi.org/10.1016/j.polar.2016.04.011</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Parkinson, C. L. and Cavalieri, D. J.: Antarctic sea ice variability and trends, 1979–2010, The Cryosphere, 6, 871–880, <a href="https://doi.org/10.5194/tc-6-871-2012" target="_blank">https://doi.org/10.5194/tc-6-871-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Perovich, D., Meier, W., Tschudi, M., Farrell, S., Hendricks, S., Gerland,
S., Gerland, S., Kaleschke, L., Ricker, R., Tian-Kunze, X., Webster, M., and
Wood, K.: Sea Ice, Arctic Report Card 2019, available at: <a href="https://www.arctic.noaa.gov/Report-Card" target="_blank"/> (last access: 28 February 2020),
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Pizzolato, L., Howell, S. E. L., Dawson, J., Laliberté, F., and
Copland, L.: The influence of declining sea ice on
shipping activity in the Canadian Arctic, Geophys. Res. Lett., 43, 12146–12154, <a href="https://doi.org/10.1002/2016GL071489" target="_blank">https://doi.org/10.1002/2016GL071489</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Rigor, I. G. and Wallace, J. M.: Variations in the age of Arctic sea-ice and
summer sea-ice extent, Geophys. Res. Lett., 31, L09401, <a href="https://doi.org/10.1029/2004GL019492" target="_blank">https://doi.org/10.1029/2004GL019492</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Rigor, I. G., Wallace, J. M., and Colony, R. L.: Response of sea ice to the
Arctic Oscillation, J. Climate, 15, 2648–2663,
<a href="https://doi.org/10.1175/1520-0442(2002)015&lt;2648:ROSITT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0442(2002)015&lt;2648:ROSITT&gt;2.0.CO;2</a>,
2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Sallila, H., Farrell, S. L., McCurry, J., and Rinne, E.: Assessment of contemporary satellite sea ice thickness products for Arctic sea ice, The Cryosphere, 13, 1187–1213, <a href="https://doi.org/10.5194/tc-13-1187-2019" target="_blank">https://doi.org/10.5194/tc-13-1187-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Spreen, G., Kwok, R., and Menemenlis, D.: Trends in Arctic sea ice drift
and role of wind forcing: 1992–2009, Geophys. Res. Lett., 38, L19501, <a href="https://doi.org/10.1029/2011GL048970" target="_blank">https://doi.org/10.1029/2011GL048970</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Stroeve, J., Barrett, A., Serreze, M., and Schweiger, A.: Using records from submarine, aircraft and satellites to evaluate climate model simulations of Arctic sea ice thickness, The Cryosphere, 8, 1839–1854, <a href="https://doi.org/10.5194/tc-8-1839-2014" target="_blank">https://doi.org/10.5194/tc-8-1839-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Stroeve, J. C., Serreze, M. C., Kay, J. E., Holland, M. M., Meier, W. N., and
Barrett, A. P.: The Arctic's rapidly shrinking sea ice cover: A research
synthesis, Clim. Change,  110, 1005–1027, <a href="https://doi.org/10.1007/s10584-011-1010-1" target="_blank">https://doi.org/10.1007/s10584-011-1010-1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Sumata, H., Lavergne, T., Girard-Ardhuin, F., Kimura, N., Tschudi, M. A.,
Kauker, F., Karcher, M., and Gerdes, R.: An intercomparison of Arctic ice drift products to deduce uncertainty
estimates, J. Geophys. Res.-Oceans, 119, 4887–4921, <a href="https://doi.org/10.1002/2013JC009724" target="_blank">https://doi.org/10.1002/2013JC009724</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Sumata, H., Kwok, R., Gerdes, R., Kauker, F., and Karcher, M.: Empirical error functions for monthly mean
Arctic sea-ice drift, J. Geophys. Res.-Oceans, 120, 7450–7475, <a href="https://doi.org/10.1002/2015JC011151" target="_blank">https://doi.org/10.1002/2015JC011151</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Szanyi, S., Lukovich, J. V., Barber, D. G., and Haller, G.: Persistent
artifacts in the NSIDC ice motion data st and
their implications for analysis, Geophys. Res. Lett., 43, 10800–10807,
<a href="https://doi.org/10.1002/2016GL069799" target="_blank">https://doi.org/10.1002/2016GL069799</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Thorndike, A. S. and Colony, R.: Sea ice
motion in response to geostrophic winds, J. Geophys. Res., 87, 5845–5852, <a href="https://doi.org/10.1029/JC087iC08p05845" target="_blank">https://doi.org/10.1029/JC087iC08p05845</a>, 1982.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Tilling, R. L., Ridout, A., and Shepherd, A.: Near-real-time Arctic sea ice thickness and volume from CryoSat-2, The Cryosphere, 10, 2003–2012, <a href="https://doi.org/10.5194/tc-10-2003-2016" target="_blank">https://doi.org/10.5194/tc-10-2003-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Tschudi, M., Meier, W. N., Stewart, J. S., Fowler, C., and Maslanik, J.:
Polar Pathfinder Daily 25&thinsp;km EASE-Grid Sea Ice Motion Vectors, Version 4,
Boulder, CA, USA, NASA National Snow and Ice Data Center Distributed
Active Archive Center, <a href="https://doi.org/10.5067/INAWUWO7QH7B" target="_blank">https://doi.org/10.5067/INAWUWO7QH7B</a>, 2019a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Tschudi, M., Meier, W. N., Stewart, J. S., Fowler, C., and Maslanik, J.:
EASE-Grid Sea Ice Age, Version 4. Boulder, CA, USA, NASA National Snow
and Ice Data Center Distributed Active Archive Center, <a href="https://doi.org/10.5067/UTAV7490FEPB" target="_blank">https://doi.org/10.5067/UTAV7490FEPB</a>, 2019b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Tschudi, M. A., Stroeve, J. C., and Stewart, J. S.: Relating the Age of
Arctic Sea Ice to its Thickness, as Measured during NASA's ICESat and
IceBridge Campaigns, Remote Sens., 8, 457, <a href="https://doi.org/10.3390/rs8060457" target="_blank">https://doi.org/10.3390/rs8060457</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Tschudi, M. A., Fowler, C., Maslanik, J. A., and Stroeve, J. C.: Tracking the
movement and changing surface characteristics of Arctic sea ice,  IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 3, 536–540, <a href="https://doi.org/10.1109/JSTARS.2010.2048305" target="_blank">https://doi.org/10.1109/JSTARS.2010.2048305</a>, 2010.

</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Tucker III, W. B., Weatherly, J. W., Eppler, D. T., Farmer, L. D., and
Bentley, D. L.: Evidence for rapid thinning of sea ice in the western Arctic Ocean
at the end of the 1980s, Geophys. Res. Lett., 28, 2851–2854, <a href="https://doi.org/10.1029/2001GL012967" target="_blank">https://doi.org/10.1029/2001GL012967</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Uttal, T., Curry, J. A., McPhee, M. G., Perovich, D. K., Moritz, R. E., Maslanik, J. A., Guest, P. S., Stern, H. L., Moore, J. A., Turenne, R., Heiberg, A., Serreze, M. C., Wylie, D. P., Persson, O. G., Paulson, C. A., Halle, C., Morison, J. H., Wheeler, P. A., Makshtas, A., Welch, H., Shupe, M. D., Intrieri, J. M., Stamnes, K., Lindsey, R. W., Pinkel, R., Pegau, W. S., Stanton, T. P., and Grenfeld, T. C.: Surface Heat Budget of the Arctic Ocean, B. Am. Meteorol. Soc., 83,
255–275, <a href="https://doi.org/10.1175/1520-0477(2002)083&lt;0255:SHBOTA&gt;2.3.CO;2" target="_blank">https://doi.org/10.1175/1520-0477(2002)083&lt;0255:SHBOTA&gt;2.3.CO;2</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Vermaire, J. C., Pisaric, M. F. J., Thienpont, J. R., Mustaphi, C. J., Kokelj, S. V., and Smol, J. P.: Arctic climate warming and sea ice declines lead to increased
storm surge activity, Geophys. Res. Lett., 40, 1386–1390, <a href="https://doi.org/10.1002/grl.50191" target="_blank">https://doi.org/10.1002/grl.50191</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Yu, Y., Maykut, G. A., and Rothrock, D. A.: Changes in the thickness
distribution of Arctic sea ice between 1958–1970 and 1993–1997, J. Geophys. Res., 109, C08004, <a href="https://doi.org/10.1029/2003JC001982" target="_blank">https://doi.org/10.1029/2003JC001982</a>, 2004.
</mixed-citation></ref-html>--></article>
