<?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">
  <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-14-2629-2020</article-id><title-group><article-title>Classification of sea ice types in Sentinel-1 synthetic<?xmltex \hack{\break}?> aperture radar images</article-title><alt-title>Classification of sea ice types in Sentinel-1 SAR images</alt-title>
      </title-group><?xmltex \runningtitle{Classification of sea ice types in Sentinel-1 SAR images}?><?xmltex \runningauthor{J.-W.~Park et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Park</surname><given-names>Jeong-Won</given-names></name>
          <email>jeong-won.park@kopri.re.kr</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Korosov</surname><given-names>Anton Andreevich</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3601-1161</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Babiker</surname><given-names>Mohamed</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Won</surname><given-names>Joong-Sun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9255-9407</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Hansen</surname><given-names>Morten Wergeland</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kim</surname><given-names>Hyun-Cheol</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6831-9291</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Ocean and Sea Ice Remote Sensing Group, Nansen Environmental and
Remote Sensing Center, 5006 Bergen, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Unit of Arctic Sea Ice Prediction, Korea Polar Research Institute,
Incheon, 21990, South Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth System Sciences, Yonsei University, Seoul, 03722,
South Korea</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Remote Sensing and Data Management, Norwegian
Meteorological Institute, 0371 Oslo, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jeong-Won Park (jeong-won.park@kopri.re.kr)</corresp></author-notes><pub-date><day>20</day><month>August</month><year>2020</year></pub-date>
      
      <volume>14</volume>
      <issue>8</issue>
      <fpage>2629</fpage><lpage>2645</lpage>
      <history>
        <date date-type="received"><day>29</day><month>May</month><year>2019</year></date>
           <date date-type="rev-request"><day>11</day><month>June</month><year>2019</year></date>
           <date date-type="rev-recd"><day>22</day><month>June</month><year>2020</year></date>
           <date date-type="accepted"><day>14</day><month>July</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="d1e148">A new Sentinel-1 image-based sea ice classification
algorithm using a machine-learning-based model trained in a semi-automated
manner is proposed to support daily ice charting. Previous studies mostly
rely on manual work in selecting training and validation data. We show that
the readily available ice charts from the operational ice services can
reduce the amount of manual work in preparation of large amounts of
training/testing data. Furthermore, they can feed highly reliable data to
the trainer by indirectly exploiting the best ability of the sea ice experts
working at the operational ice services. The proposed scheme has two phases:
training and operational. Both phases start from the removal of thermal,
scalloping, and textural noise from Sentinel-1 data and calculation of grey
level co-occurrence matrix and Haralick texture features in a sliding
window. In the training phase, the weekly ice charts are reprojected into
the SAR image geometry. A random forest classifier is trained with the
texture features on input and labels from the rasterized ice charts on
output. Then, the trained classifier is directly applied to the texture
features from Sentinel-1 images operationally. Test results from the two
datasets spanning winter (January–March) and summer (June–August) seasons acquired
over the Fram Strait and the Barents Sea showed that the classifier is
capable of retrieving three generalized cover types (open water, mixed
first-year ice, old ice) with overall accuracies of 87 % and 67 % in
winter and summer seasons, respectively. For the summer season, the classifier
failed in distinguishing mixed first-year ice from old ice with accuracy of
only 12 %; however, it performed rather like an ice–water discriminator
with high accuracy of 98 % as the misclassification between the mixed
first-year ice and old ice was between them. The accuracy for five cover
types (open water, new ice, young ice, first-year ice, old ice) in the winter
season was 60 %. The errors are attributed both to incorrect manual
classification on the ice charts and to the semi-automated algorithm.
Finally, we demonstrate the potential for near-real-time service of the ice
map using daily mosaicked Sentinel-1 images.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e160">Wide swath SAR observation from several spaceborne SAR missions (RADARSAT-1,
1995–2013; Envisat ASAR, 2002–2012; ALOS-1 PALSAR, 2006–2011; RADARSAT-2,
2007-present; Sentinel-1, 2014–present) played an important role in studying
global ocean and ice-covered polar regions. The Sentinel-1 constellation (1A
and 1B) is producing dual-polarization observation data with the largest
Arctic coverage and the highest temporal resolution ever. The
cross-polarization is known to be more sensitive to the difference in
scattering from sea ice and open water than the co-polarization (Scheuchl et
al., 2004), and the combination of HH and HV polarizations has been widely
used for ice edge detection and ice type classification (a nice overview is
given in the paper by Zakhvatkina et al., 2019). However, most of the recent
ice classification algorithms were developed using RADARSAT-2 ScanSAR (Leigh
et al., 2014; Liu et al., 2015; Zakhvatkina et al., 2017), which has
different sensor<?pagebreak page2630?> characteristics from Sentinel-1 TOPSAR, and the use of
Sentinel-1 for the same purpose is very limited in literature. The main
drawback of applying existing algorithms to Sentinel-1 TOPSAR data is the
relatively high level of thermal noise contamination and its propagation to
image textures.</p>
      <p id="d1e163">For proper use of dense time series of Earth observations using SAR sensors,
radiometric properties must be well-calibrated. Thermal noise is often
neglected in many cases but can seriously impact the utility of
dual-polarization SAR data. Sentinel-1 TOPSAR image intensity is
particularly disturbed by the thermal noise in the cross-polarization
channel. Although the European Space Agency (ESA) provides calibrated noise
vectors for noise power subtraction, residual noise contribution is still
significant considering the relatively narrow backscattering distribution of
the cross-polarization channel. In our previous study (Park et al. 2018), a
new denoising method with azimuth de-scalloping, noise scaling, and
inter-swath power balancing was developed and showed improved performance in
various SAR intensity-based applications. Furthermore, when it came to
texture-based image classification, we suggested a correction method for
textural noise (Park et al., 2019) which distorts local statistics, and thus
degrades texture information in the Sentinel-1 TOPSAR images.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e168">Study area.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e180">Processing flow chart of the proposed algorithm. The grey colour
shows the training phase</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f02.png"/>

      </fig>

      <p id="d1e189">In many of the previous studies on ice–water and/or sea ice classification
(Soh and Tsatsoulis, 1999; Zakhvatkina et al., 2013; Leigh et al., 2014; Liu
et al., 2015; Ressel et al., 2015; Zakhvatkina et al., 2017; Aldenhoff et
al., 2018), the training and validation were done using manually produced
ice maps. Although the authors claimed that the manual ice maps were drawn
by ice experts, the selection of SAR scenes and interpretation could be
inconsistent, and the number of samples might not be enough to generalize
the results because of the laborious manual work. Furthermore, the results
are hardly reproducible by others because the reference sources are not open
to the public. Therefore, increasing objectivity is crucial, and automating the
classification process is encouraged. The idea of training using SAR images
and accompanying image analysis charts, which is a direct manual
interpretation of SAR images by trained ice analysts working at operational
ice services, was tested for sea ice concentration estimation by Wang et
al. (2017); however, such image analysis charts are not accessible to the
public.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e194">An example of the ice chart preprocessing. From the ice chart,
stage of development (SoD; <bold>a</bold>), ice concentration (CT; <bold>b</bold>),
and partial concentration of the dominant ice type (CP; <bold>c</bold>) maps are
extracted. Then, some of the different SoDs are merged (e.g. thin and thick
first-year ice is merged into a single label as first-year ice), and the
area with low ice concentration is labelled as open water. The processed map
of SoD <bold>(d)</bold> is related with textural features extracted from HH and
HV polarization images <bold>(e, f)</bold>. Note that the NIC
ice chart which was published on 25 January 2018 and the Sentinel-1
product S1B_EW_GRDM_1SDH_20180122T075237_20180122T075337_009281_010A4D_65AA acquired over the Fram Strait were used in this example.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f03.png"/>

      </fig>

      <p id="d1e218">The use of a public ice chart as training and validation reference data may
help in solving the validation problem. The preparation of a public ice
chart is also through manual inspection of various sources of satellite
imagery and other sources of data (Partington et al., 2003; Johannessen et
al., 2006); however, training using a large volume of these charts would
reduce operator-to-operator bias, such as inconsistent decisions against
similar ice conditions. The overall bias may exist since the public ice
charts are produced in the interest of marine safety. Nevertheless, as the
human interpretation available in the ice chart is currently considered
the best available information on sea ice (Karvonen et al., 2015), the best
practice to make a sea ice type classifier is to train with the public ice
chart so that the best knowledge of ice analysts is mimicked.</p>
      <p id="d1e221">In this work, we present a semi-automated Sentinel-1 image-based sea ice
classification algorithm which takes advantage of our denoising method. The
noise-corrected dual-polarization images are processed into image textures
that capture sea ice features in various spatial scales, and they are used
for supervised classification with a random forest classifier by relating
with ice charts published by operational ice services. The use of ice charts
has a dual purpose: semi-automatization of classifier training and
minimization of human error.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2631?><sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area and used data</title>
      <p id="d1e240">The region of study for developing and testing the proposed algorithm is the
Fram Strait and the Barents Sea including a part of the Arctic Ocean
(75–85<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 10<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W–70<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) as shown in Fig. 1. Various sea ice types are
found in this area due to the intensive export of multi-year ice through the
Fram Strait (Smedsrud et al., 2017) and development of young and first-year
ice between Svalbard and Franz Josef Land.</p>
      <p id="d1e270">Sentinel-1 TOPSAR data in extended wide-swath (EW) mode acquired in summer
(June–August in 2016–2018) and winter (January–March in 2017–2019) seasons
were collected from the Copernicus Open Access Hub
(<uri>https://scihub.copernicus.eu</uri>, last access: 18 August 2020). The number of daily image acquisitions
covering the study area ranges from 6 to 10 depending on the orbits. The
images from the first 2 years (hereafter called DS1) are used to train the
classifier, and those from the third year (hereafter called DS2) are used for
validation.</p>
      <p id="d1e276"><?xmltex \hack{\newpage}?>The ice charts covering the same periods were collected. There are two ice
services that publish weekly ice charts with pan-Arctic coverage: the U.S.
National Ice Center (NIC) of the United States of America and the Arctic and
Antarctic Research Institute (AARI) of Russia. Although the accuracies are
known to be comparable (Pastusiak, 2016) to each other, there is no partial
ice concentration information in the AARI ice chart. In this study, we use
the ice charts downloaded from the NIC website
(<uri>https://www.natice.noaa.gov/Main_Products.htm</uri>, last access: 18 August 2020). The NIC ice
products are produced primarily using radar, microwave radiometer,
scatterometer, visible, and infrared imagery from a variety of sources. In
addition to imagery, drifting buoy data, ice model predictions, limited ship
reports, meteorological and oceanographic observations, and ice information
provided by other international centres are also used to make a
comprehensive analysis of ice conditions (WMO, 2017).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Methods</title>
      <p id="d1e291">Figure 2 shows the flow of the semi-automated ice classification scheme that
we propose. It is divided into two phases:<?pagebreak page2632?> training and operational. Both
phases start from the removal of thermal noise from Sentinel-1 data (Sect. 2.2.2), incidence angle calibration (Sect. 2.2.3), and calculation of texture
features (Sect. 2.2.4). The training phase (shown in grey in Fig. 2)
continues with preprocessing and collocation of the ice charts with the
Sentinel-1 data (Sect. 2.2.1) and machine learning step (Sect. 2.2.5 and
2.2.6). The operational phase uses the classifier which developed during
the training phase for processing texture features that were computed from
the input SAR data and for generating ice charts. Detailed explanations for
each step are given in the following subsections.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e296">Incidence angle dependences of sigma naught in HH (closed squares)
and HV (open squares) polarization channels. Pixels covering various types
of sea ice were merged so that the averaged property can be estimated. The
blue and red zones indicate winter and summer seasons, respectively.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e307">Hyperparameter optimization using grid search results (cross).
Dashed lines represent the best-fit Richards curve. <bold>(a)</bold> The optimal
values are extracted from the locations where the score increments per unit
of each hyperparameter become lower than a threshold (e.g. 0.001). <bold>(b)</bold> If the curve does not fit the grid search results well, <bold>(c)</bold> the difference between training and test scores is used to find the
locations where it does not exceed a threshold (e.g. 0.03) in order to
avoid overfitting.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f05.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e329">Hyperparameters used for grid search.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameters</oasis:entry>
         <oasis:entry namest="col2" nameend="col8" align="center">Values </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">4</oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">32</oasis:entry>
         <oasis:entry colname="col8">64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M5" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">4</oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">32</oasis:entry>
         <oasis:entry colname="col8">64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">4</oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">28</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Ice chart preprocessing</title>
      <p id="d1e482">To take advantage of the objective identification of the ice type from
expert sources open to public and to develop a semi-automated processing
scheme, the proposed algorithm uses electronic ice charts published by
international ice chart services. The electronic ice chart follows SIGRID-3
format (JCOMM, 2014a), which is based on a vector format called shapefile
(ESRI, 1998). The first step is to reproject the ice chart into the geometry
of each SAR image. Although an accurate reprojection needs several pieces of
information such as orbit, look angle, topographic height, etc., our
interest is in the sea ice where the topographic difference does not exceed
more than a few metres; hence the reprojection of coordinates of ice chart
polygons is done with Geospatial Data Abstraction Library (GDAL; GDAL/OGR
contributors, 2019) using a simple third-order polynomial fitted using the
ground control point information from the Sentinel-1-product-included
auxiliary data.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e488">Distribution of the image acquisition dates prior to the
publication of the reference ice chart.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col5" align="center" colsep="1">Training and test dataset (DS1) </oasis:entry>
         <oasis:entry namest="col6" nameend="col9" align="center">Validation dataset (DS2) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Days prior to the date of</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ice chart publication</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Winter</oasis:entry>
         <oasis:entry colname="col2">124</oasis:entry>
         <oasis:entry colname="col3">168</oasis:entry>
         <oasis:entry colname="col4">77</oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
         <oasis:entry colname="col6">78</oasis:entry>
         <oasis:entry colname="col7">75</oasis:entry>
         <oasis:entry colname="col8">67</oasis:entry>
         <oasis:entry colname="col9">61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer</oasis:entry>
         <oasis:entry colname="col2">119</oasis:entry>
         <oasis:entry colname="col3">125</oasis:entry>
         <oasis:entry colname="col4">112</oasis:entry>
         <oasis:entry colname="col5">65</oasis:entry>
         <oasis:entry colname="col6">87</oasis:entry>
         <oasis:entry colname="col7">67</oasis:entry>
         <oasis:entry colname="col8">48</oasis:entry>
         <oasis:entry colname="col9">30</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e649">After the reprojection, the following three layers are extracted: total ice
concentration (CT), partial ice concentration of each ice type (CP), and
stage of development (SoD). CT is important because areas with low CT can be
misinterpreted as open ocean in a SAR image. Heinrichs et al. (2006)
reported that the ice edge determined from AMSR-E passive microwave
radiometer data using the isoline of 15 % concentration best matches the
ice edge determined from RADARSAT-1 SAR data using visual inspection. After
the visual comparison of many SAR images and the corresponding reprojected
ice charts, we set a threshold of 20 % for CT<?pagebreak page2633?> to discard water-like
pixels. Note that the ice concentration label in the SIGRID-3 format is
assigned in an increment of 10 %. CP is also important in finding the
dominant ice type in the given polygons. SoD is a so-called ice type. It is
challenging to differentiate ice types using SAR data only; thus we merged
the SoDs into five simple classes: open water, new ice, young ice,
first-year ice, and old ice. For the summer season (June–August), there is almost no
new ice and young ice annotated in the NIC ice chart, and the SoDs are further
merged into three classes: open water, mixed first-year ice, and old
ice. Figure 3 demonstrates an example of the ice chart preprocessing
explained above with the colours following the WMO nomenclature (JCOMM,
2014b). Comparing the original SoD in panel (a) with the processed
SoD in panel (d), it is clear that the ice edge of the processed
SoD matches better with the SAR backscattering images.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e655">Feature importance of the binary sub-classifiers. ASM: angular
second moment; Cont: contrast; Corr: correlation; Var: variance; IDM:
inverse difference moment; Sum Avg: sum average; Sum Var: sum variance; Sum
Ent: sum entropy; Ent: entropy; Diff Var: difference variance; Diff Ent:
difference entropy; IMC: information measures of correlation; CV:
coefficient of variation. For definitions of each parameter, please refer
to Haralick et al. (1973).</p></caption>
            <?xmltex \igopts{width=503.61378pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Denoising of Sentinel-1 imagery</title>
      <p id="d1e672">Sentinel-1 cross-polarization images suffer from strong noise, some which
originates from combined effects of the relatively low signal-to-noise ratio
of the sensor system and insufficient noise vector information in the extra-wide-swath mode level 1 product (Park et al., 2018). For surfaces with low
backscattering such as calm open water and level sea ice without the
presence of frost flowers on top, the effects from thermal noise
contamination are visible not only in the backscattering image but also in
some of the texture images (Park et al., 2019). The authors have developed
an efficient method for textural denoising which is essential for the
preprocessing of Sentinel-1 TOPSAR dual-polarization products. Denoising
ensures beam-normalized texture properties for all subswaths, which helps
seamlessly mosaic of multi-pass images regardless of the satellite orbit and
image acquisition geometry. By following the methods developed in Park et
al. (2018, 2019), each of the Sentinel-1 images was denoised before further
processes are applied. As the noise power subtraction yields negative
intensity values where the backscattering power is close to the noise floor,
more often in HV polarization, which has lower backscatter than in HH
polarization, we added mean of the noise power back to the denoised result
so that those pixels do not turn into NaN (not a number) by the sigma naught
conversion of linear scale to log scale (decibel).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Incidence angle correction</title>
      <p id="d1e684">It is well-known that there is a strong incidence angle dependence in the
SAR backscattering intensity for open water and sea ice surface
(Mäkynen et al., 2002; Mäkynen and
Karvonen, 2017). For a wide-swath SAR system like Sentinel-1 TOPSAR, varying
backscatter intensity confuses image interpretation. The quasi-linear slopes
in the plane of incidence angle versus sigma nought in decibel scale are
reported as <inline-formula><mml:math id="M7" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24 and <inline-formula><mml:math id="M8" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16 dB per degree for typical first-year ice
(Mäkynen and Karvonen, 2017), <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.27 and <inline-formula><mml:math id="M10" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26 dB per degree for level
first-year ice and <inline-formula><mml:math id="M11" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23 and <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23 dB per degree for multi-year ice (Lohse et
al., 2020) in HH and HV polarization, respectively. To normalize the
backscattering intensity for all swath ranges, these slopes were compensated
for or used as an input layer in several ice classification algorithms in the
literature (Liu et al., 2015; Zakhvatkina et al., 2013, 2017; Karvonen,
2014, 2017; Aldenhoff et al., 2018). Although the angular dependency is not
a system-dependent variable but is governed by physical characteristics of
the backscattered surface, the numbers need to be reassessed because the
estimations of Mäkynen and Karvonen (2017) might have been affected by
the residual thermal noise which used to be very strong before the ESA
updated the noise removal scheme in 2018 (Miranda, 2018).</p>
      <p id="d1e730">Figure 4 shows incidence angle dependence in the SAR backscattering
intensity for mixed sea ice types. From the Sentinel-1 dataset described in
Sect. 2.1, sea ice pixels were extracted by using daily global sea ice
edge products available from the EUMETSAT Ocean and Sea Ice Satellite
Application Facilities (OSI SAF). For the midwinter season (January–March displayed
as a blue background), the estimated mean slope in HH polarization was <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21 dB per degree, which is slightly different from the estimation of the first-year
ice (<inline-formula><mml:math id="M14" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.24 dB per degree) in Mäkynen and Karvonen (2017) and in between the
estimations for first-year ice (<inline-formula><mml:math id="M15" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.22 dB per degree) and multi-year ice (<inline-formula><mml:math id="M16" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.16 dB per degree) in Mahmud et al. (2018). For HV polarization, the estimated slope
was only <inline-formula><mml:math id="M17" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06 dB per degree, which is much lower than <inline-formula><mml:math id="M18" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16 dB per degree for
deformed first-year ice in Mäkynen and Karvonen (2017); however, it is
in line with the estimations in Liu et al. (2015). Work by Leigh et al. (2014) stated that the HV polarization backscatter signatures are largely
unaffected by incidence angle variation in their RADARSAT-2 dataset. For
the summer season<?pagebreak page2634?> (June–August displayed by red background), the mean slopes
increased to <inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28 and <inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08 dB per degree in HH and HV polarization,
respectively. Scharien et al. (2014) reported significant slopes for ice
adjacent to melt ponds in June, and Gill et al. (2015) also found slopes of
<inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33 and <inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.25 for smooth first-year ice in May in HH and HV polarization,
respectively. The smaller slopes in our estimation are likely due to the
mixed ice types and structures; the SAR backscattering of deformed ice has
lower incidence angle dependency as shown in Mäkynen and Karvonen (2017).</p>
      <p id="d1e804">We compensate for the incidence angle dependence using the estimated slopes
with respect to the nominal scene centre angle of 34.5<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> as reference.
Although the incidence angle dependence changes with ice type and radar
frequency (Mahmud et al., 2018), the compensation is done for all pixels in
the image using a single value of mean slope because the ice types are not
identified in this stage. Open water areas of the image are also affected;
however, the correction is also beneficial since the incidence angle
dependence for open water is stronger (<inline-formula><mml:math id="M24" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.65 dB per degree for wind velocity of
5 m s<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>, computed from CMOD5 C-band geophysical model function in Hersbach et
al., 2007); thus the corrected image has less incidence angle dependence.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Texture feature computation</title>
      <p id="d1e843">Like many of the previously developed sea ice type classification methods
(Shokr, 1991; Barber and LeDrew, 1991; Soh and Tsatsoulis, 1999; Deng and
Clausi, 2005; Zakhvatkina et al., 2013; Leigh et al., 2014; Liu et al.,
2015), the proposed approach starts from a grey level co-occurrence matrix
(GLCM) calculation. The GLCM is a four-dimensional matrix <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:math></inline-formula>)
calculated from two grey tones of reference pixel <inline-formula><mml:math id="M27" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and its neighbour <inline-formula><mml:math id="M28" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>,
with co-occurrence distance <inline-formula><mml:math id="M29" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> and orientation <inline-formula><mml:math id="M30" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>. Haralick et al. (1973)
introduced a set of GLCM-based texture features called Haralick
features, and its practicality has been reported in numerous studies. Since 13 Haralick features can be calculated for each of the two-dimensional
slices <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>) for multiple <inline-formula><mml:math id="M32" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M33" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> values, the maximum number of texture
features is to be <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mo>×</mml:mo><mml:mi>d</mml:mi><mml:mo>×</mml:mo><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">26</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>d</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:math></inline-formula>, where 2
accounts for dual polarization. It is common to take the directional average
for 0, 45, 90, and 135<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to
reduce GLCM dimensionality. Further averaging for multiple distances (1 to
<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M37" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> is the size of the subwindow for GLCM computation) is taken
after computing the normalized GLCM. The spatial resolution of the texture
features is the pixel spacing of the Sentinel-1 EW-mode GRDM image (40 m)
multiplied by <inline-formula><mml:math id="M38" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>. In this study, we set <inline-formula><mml:math id="M39" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> as 25 so that the grid spacing
of the result of texture analysis is 1 km.</p>
      <p id="d1e994">An important factor that influences the computed texture features is the
number of grey levels, <inline-formula><mml:math id="M40" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>. Considering the radiometric stability of
Sentinel-1 EW mode (0.32 dB; Miranda, 2018) and the range of sigma nought
for various ice types (<inline-formula><mml:math id="M41" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>31 to 0 dB for HH, <inline-formula><mml:math id="M42" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32 to <inline-formula><mml:math id="M43" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 dB for HV; estimated
from DS1 and DS2 after incidence angle correction), the number of grey levels
should be sufficiently large enough to capture their actual differences in
sigma nought values. The optimal quantization level can be calculated using
the ratio of sigma nought range to radiometric resolution as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M44" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">For</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">HH</mml:mi><mml:mo>,</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0.32</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">96.875</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">For</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">HV</mml:mi><mml:mo>,</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0.32</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">dB</mml:mi></mml:mrow></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">78.125</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e1138">Since <inline-formula><mml:math id="M45" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> should be sufficiently large to take full advantage of the system
capability and yet the computation cost should not be too expensive, in
this study, we set <inline-formula><mml:math id="M46" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> as 64, which is the closest power of 2 to the
resulting numbers from the equations above.</p>
      <?pagebreak page2635?><p id="d1e1155">In addition to 13 Haralick features, the coefficient of variation (CV) which
is reported as a useful feature for ice–water discrimination (Keller et al.,
2017) is included. The CV is defined as follows:
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M47" display="block"><mml:mrow><mml:mi mathvariant="normal">CV</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> are the standard deviation and mean of the
samples in a given subwindow. Since CV can be computed for each polarization
image, the number of texture features for Sentinel-1 dual-polarization data
is extended to 28. Incidence angle and day of the year can also be added.
The former is adopted to account for possible residuals from the angular
dependency correction while the latter is to account for seasonal
variability. Although these two are not any type of textures, they can be
used as input features for image classification. Note that it is important
to have each ice type spatially and temporally evenly distributed if these
two additional features are included; otherwise, the trained classifier will
result in a biased prediction. The effects of including these extra features
will be tested and discussed in later sections.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1194">Confusion matrix of the five-class RF classifier which was trained
with and applied to the DS1 winter dataset. The bold font indicates where the classification was done correctly. </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="17">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right" colsep="1"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right" colsep="1"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col17" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">NI (new ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center" colsep="1">YI (young ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col12" nameend="col14" align="center" colsep="1">FYI (first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col15" nameend="col17" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

         <oasis:entry colname="col12">FC1</oasis:entry>

         <oasis:entry colname="col13">FC2</oasis:entry>

         <oasis:entry colname="col14">FC3</oasis:entry>

         <oasis:entry colname="col15">FC1</oasis:entry>

         <oasis:entry colname="col16">FC2</oasis:entry>

         <oasis:entry colname="col17">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="4">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>90.1</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>91.3</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>92.4</bold></oasis:entry>

         <oasis:entry colname="col6">1.3</oasis:entry>

         <oasis:entry colname="col7">1.1</oasis:entry>

         <oasis:entry colname="col8">1.2</oasis:entry>

         <oasis:entry colname="col9">1.6</oasis:entry>

         <oasis:entry colname="col10">1.7</oasis:entry>

         <oasis:entry colname="col11">1.6</oasis:entry>

         <oasis:entry colname="col12">6.9</oasis:entry>

         <oasis:entry colname="col13">5.9</oasis:entry>

         <oasis:entry colname="col14">4.8</oasis:entry>

         <oasis:entry colname="col15">0.0</oasis:entry>

         <oasis:entry colname="col16">0.0</oasis:entry>

         <oasis:entry colname="col17">0.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">NI</oasis:entry>

         <oasis:entry colname="col3">30.0</oasis:entry>

         <oasis:entry colname="col4">28.0</oasis:entry>

         <oasis:entry colname="col5">26.1</oasis:entry>

         <oasis:entry colname="col6"><bold>21.9</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>23.8</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>45.0</bold></oasis:entry>

         <oasis:entry colname="col9">27.1</oasis:entry>

         <oasis:entry colname="col10">26.7</oasis:entry>

         <oasis:entry colname="col11">13.3</oasis:entry>

         <oasis:entry colname="col12">16.7</oasis:entry>

         <oasis:entry colname="col13">17.7</oasis:entry>

         <oasis:entry colname="col14">11.8</oasis:entry>

         <oasis:entry colname="col15">4.2</oasis:entry>

         <oasis:entry colname="col16">3.9</oasis:entry>

         <oasis:entry colname="col17">3.8</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">YI</oasis:entry>

         <oasis:entry colname="col3">3.7</oasis:entry>

         <oasis:entry colname="col4">3.7</oasis:entry>

         <oasis:entry colname="col5">3.9</oasis:entry>

         <oasis:entry colname="col6">5.1</oasis:entry>

         <oasis:entry colname="col7">4.8</oasis:entry>

         <oasis:entry colname="col8">5.2</oasis:entry>

         <oasis:entry colname="col9"><bold>58.8</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>60.1</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>62.6</bold></oasis:entry>

         <oasis:entry colname="col12">24.3</oasis:entry>

         <oasis:entry colname="col13">24.0</oasis:entry>

         <oasis:entry colname="col14">21.1</oasis:entry>

         <oasis:entry colname="col15">8.1</oasis:entry>

         <oasis:entry colname="col16">7.4</oasis:entry>

         <oasis:entry colname="col17">7.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">FYI</oasis:entry>

         <oasis:entry colname="col3">5.0</oasis:entry>

         <oasis:entry colname="col4">4.7</oasis:entry>

         <oasis:entry colname="col5">3.9</oasis:entry>

         <oasis:entry colname="col6">1.7</oasis:entry>

         <oasis:entry colname="col7">1.5</oasis:entry>

         <oasis:entry colname="col8">1.7</oasis:entry>

         <oasis:entry colname="col9">18.7</oasis:entry>

         <oasis:entry colname="col10">19.0</oasis:entry>

         <oasis:entry colname="col11">19.4</oasis:entry>

         <oasis:entry colname="col12"><bold>64.4</bold></oasis:entry>

         <oasis:entry colname="col13"><bold>65.3</bold></oasis:entry>

         <oasis:entry colname="col14"><bold>65.9</bold></oasis:entry>

         <oasis:entry colname="col15">10.1</oasis:entry>

         <oasis:entry colname="col16">9.6</oasis:entry>

         <oasis:entry colname="col17">9.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">0.1</oasis:entry>

         <oasis:entry colname="col4">0.1</oasis:entry>

         <oasis:entry colname="col5">0.2</oasis:entry>

         <oasis:entry colname="col6">0.3</oasis:entry>

         <oasis:entry colname="col7">0.3</oasis:entry>

         <oasis:entry colname="col8">0.6</oasis:entry>

         <oasis:entry colname="col9">3.1</oasis:entry>

         <oasis:entry colname="col10">2.9</oasis:entry>

         <oasis:entry colname="col11">3.0</oasis:entry>

         <oasis:entry colname="col12">6.4</oasis:entry>

         <oasis:entry colname="col13">6.1</oasis:entry>

         <oasis:entry colname="col14">5.6</oasis:entry>

         <oasis:entry colname="col15"><bold>90.1</bold></oasis:entry>

         <oasis:entry colname="col16"><bold>90.6</bold></oasis:entry>

         <oasis:entry colname="col17"><bold>90.6</bold></oasis:entry>

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

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e1619">The 1 d mosaics of Sentinel-1A/1B images (<bold>a</bold>: HH; <bold>b</bold>:
HV) and the ice classification result <bold>(d)</bold> on 5 February 2019. The
publication date of the reference weekly ice chart <bold>(c)</bold> is 8 February 2019.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS5">
  <label>2.2.5</label><title>Machine learning classifier</title>
      <p id="d1e1648">Since there are hundreds of algorithms in the field of machine learning (ML)
and each of the different algorithms has its own pros and cons, it is not
easy to compare their performances and decide what to use.
Fernández-Delgado et al. (2014) found that the random forest (RF;
Ho, 1998) was the best classifier for various types of datasets with a slight
difference from a support vector machine (SVM; Cortes and Vapnik, 1995). In
the previous studies about sea ice classification (e.g. Leigh et al., 2014;
Liu et al., 2015; Zakhvatkina et al., 2017), the SVM was used often because
by nature it works relatively well even when the number of datasets is
small. When the training dataset is prepared by manual work (i.e. manual
classification by human expert), the number of images is not large, usually
fewer than 20 (e.g. 12 scenes in Zakhvatkina et al., 2013; 20 scenes in
Leigh et al., 2014; 1 scene in Liu et al., 2015; 4 scenes in Ressel et al.,
2015). However, the number can increase with less effort when the readily
available ice charts are used as training references. Besides, there is no
need to rely on additional manual work prone to contamination by biased
decisions. The RF has two practical advantages when processing a large
number of datasets. First, the RF is scale-invariant and does not require
preprocessing of the datasets, whereas the SVM requires scaling and
normalization. Second, the computational complexity of the RF is lower than
that of the SVM. For the SVM, the number of operations is <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)
and <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">sv</mml:mi></mml:msub><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>) for training and prediction while for RF it is <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi>p</mml:mi><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
and <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>), respectively, where <inline-formula><mml:math id="M54" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of samples, <inline-formula><mml:math id="M55" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is
the number of features, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">sv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the number of support vectors, and
<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the number of trees. Considering the practical requirements of
fast processing for near-real-time ice charting services, the RF can be a
reasonable solution. We use the RF with the Python Scikit-Learn
implementation (Pedregosa et al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e1770">The 1 d mosaics of Sentinel-1A/1B images (<bold>a</bold>: HH; <bold>b</bold>:
HV) and the ice classification result <bold>(d)</bold> on 8 February 2019. The
publication date of the reference weekly ice chart <bold>(c)</bold> is 8 February 2019.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f08.png"/>

          </fig>

      <p id="d1e1791">We split the RF classifier into several binary classifiers using a
one-vs.-all scheme (Anand et al., 1995). Although the standard RF algorithm
can inherently deal with a multiclass problem, the one-vs.-all binarization
to the RF results in better accuracy with smaller forest sizes than the
standard RF (Adnan and Islam, 2015).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e1798">Confusion matrix of the five-class RF classifier which was trained
with the DS1 winter dataset and applied to the DS2 winter dataset. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="17">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right" colsep="1"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right" colsep="1"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:colspec colnum="17" colname="col17" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col17" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">NI (new ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center" colsep="1">YI (young ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col12" nameend="col14" align="center" colsep="1">FYI (first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col15" nameend="col17" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

         <oasis:entry colname="col12">FC1</oasis:entry>

         <oasis:entry colname="col13">FC2</oasis:entry>

         <oasis:entry colname="col14">FC3</oasis:entry>

         <oasis:entry colname="col15">FC1</oasis:entry>

         <oasis:entry colname="col16">FC2</oasis:entry>

         <oasis:entry colname="col17">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="4">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>89.1</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>90.2</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>90.3</bold></oasis:entry>

         <oasis:entry colname="col6">1.3</oasis:entry>

         <oasis:entry colname="col7">1.1</oasis:entry>

         <oasis:entry colname="col8">1.9</oasis:entry>

         <oasis:entry colname="col9">3.3</oasis:entry>

         <oasis:entry colname="col10">3.5</oasis:entry>

         <oasis:entry colname="col11">4.2</oasis:entry>

         <oasis:entry colname="col12">6.4</oasis:entry>

         <oasis:entry colname="col13">5.2</oasis:entry>

         <oasis:entry colname="col14">3.7</oasis:entry>

         <oasis:entry colname="col15">0.0</oasis:entry>

         <oasis:entry colname="col16">0.0</oasis:entry>

         <oasis:entry colname="col17">0.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">NI</oasis:entry>

         <oasis:entry colname="col3">45.1</oasis:entry>

         <oasis:entry colname="col4">45.0</oasis:entry>

         <oasis:entry colname="col5">56.5</oasis:entry>

         <oasis:entry colname="col6"><bold>31.9</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>30.6</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>17.6</bold></oasis:entry>

         <oasis:entry colname="col9">6.0</oasis:entry>

         <oasis:entry colname="col10">5.7</oasis:entry>

         <oasis:entry colname="col11">13.3</oasis:entry>

         <oasis:entry colname="col12">15.1</oasis:entry>

         <oasis:entry colname="col13">17.3</oasis:entry>

         <oasis:entry colname="col14">11.2</oasis:entry>

         <oasis:entry colname="col15">2.0</oasis:entry>

         <oasis:entry colname="col16">1.5</oasis:entry>

         <oasis:entry colname="col17">1.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">YI</oasis:entry>

         <oasis:entry colname="col3">7.1</oasis:entry>

         <oasis:entry colname="col4">7.1</oasis:entry>

         <oasis:entry colname="col5">9.2</oasis:entry>

         <oasis:entry colname="col6">6.3</oasis:entry>

         <oasis:entry colname="col7">5.9</oasis:entry>

         <oasis:entry colname="col8">8.5</oasis:entry>

         <oasis:entry colname="col9"><bold>47.6</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>48.0</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>55.0</bold></oasis:entry>

         <oasis:entry colname="col12">28.7</oasis:entry>

         <oasis:entry colname="col13">29.2</oasis:entry>

         <oasis:entry colname="col14">17.3</oasis:entry>

         <oasis:entry colname="col15">10.4</oasis:entry>

         <oasis:entry colname="col16">9.8</oasis:entry>

         <oasis:entry colname="col17">9.9</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">FYI</oasis:entry>

         <oasis:entry colname="col3">5.6</oasis:entry>

         <oasis:entry colname="col4">5.0</oasis:entry>

         <oasis:entry colname="col5">5.8</oasis:entry>

         <oasis:entry colname="col6">3.8</oasis:entry>

         <oasis:entry colname="col7">3.5</oasis:entry>

         <oasis:entry colname="col8">3.2</oasis:entry>

         <oasis:entry colname="col9">32.8</oasis:entry>

         <oasis:entry colname="col10">33.0</oasis:entry>

         <oasis:entry colname="col11">35.0</oasis:entry>

         <oasis:entry colname="col12"><bold>38.4</bold></oasis:entry>

         <oasis:entry colname="col13"><bold>39.7</bold></oasis:entry>

         <oasis:entry colname="col14"><bold>37.3</bold></oasis:entry>

         <oasis:entry colname="col15">19.3</oasis:entry>

         <oasis:entry colname="col16">18.8</oasis:entry>

         <oasis:entry colname="col17">18.7</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">0.3</oasis:entry>

         <oasis:entry colname="col4">0.3</oasis:entry>

         <oasis:entry colname="col5">0.7</oasis:entry>

         <oasis:entry colname="col6">0.5</oasis:entry>

         <oasis:entry colname="col7">0.4</oasis:entry>

         <oasis:entry colname="col8">0.7</oasis:entry>

         <oasis:entry colname="col9">1.9</oasis:entry>

         <oasis:entry colname="col10">1.8</oasis:entry>

         <oasis:entry colname="col11">1.9</oasis:entry>

         <oasis:entry colname="col12">4.6</oasis:entry>

         <oasis:entry colname="col13">4.8</oasis:entry>

         <oasis:entry colname="col14">4.5</oasis:entry>

         <oasis:entry colname="col15"><bold>92.8</bold></oasis:entry>

         <oasis:entry colname="col16"><bold>92.8</bold></oasis:entry>

         <oasis:entry colname="col17"><bold>92.6</bold></oasis:entry>

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

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e2224">Classification accuracies before and after applying textural
denoising. </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <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" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">Case </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">FC1 </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">FC2 </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">FC3 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Thermal</oasis:entry>
         <oasis:entry colname="col3">Textural</oasis:entry>
         <oasis:entry colname="col4">Difference</oasis:entry>
         <oasis:entry colname="col5">Thermal</oasis:entry>
         <oasis:entry colname="col6">Textural</oasis:entry>
         <oasis:entry colname="col7">Difference</oasis:entry>
         <oasis:entry colname="col8">Thermal</oasis:entry>
         <oasis:entry colname="col9">Textural</oasis:entry>
         <oasis:entry colname="col10">Difference</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">denoising</oasis:entry>
         <oasis:entry colname="col3">denoising</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">denoising</oasis:entry>
         <oasis:entry colname="col6">denoising</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">denoising</oasis:entry>
         <oasis:entry colname="col9">denoising</oasis:entry>
         <oasis:entry colname="col10"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Class</oasis:entry>
         <oasis:entry colname="col2">only</oasis:entry>
         <oasis:entry colname="col3">applied</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">only</oasis:entry>
         <oasis:entry colname="col6">applied</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">only</oasis:entry>
         <oasis:entry colname="col9">applied</oasis:entry>
         <oasis:entry colname="col10"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Open water</oasis:entry>
         <oasis:entry colname="col2">88.0</oasis:entry>
         <oasis:entry colname="col3">89.1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">88.7</oasis:entry>
         <oasis:entry colname="col6">90.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">89.4</oasis:entry>
         <oasis:entry colname="col9">90.3</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">New ice</oasis:entry>
         <oasis:entry colname="col2">32.2</oasis:entry>
         <oasis:entry colname="col3">31.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">32.2</oasis:entry>
         <oasis:entry colname="col6">30.6</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">20.0</oasis:entry>
         <oasis:entry colname="col9">17.6</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Young ice</oasis:entry>
         <oasis:entry colname="col2">45.2</oasis:entry>
         <oasis:entry colname="col3">47.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">44.7</oasis:entry>
         <oasis:entry colname="col6">48.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">48.8</oasis:entry>
         <oasis:entry colname="col9">55.0</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">First-year ice</oasis:entry>
         <oasis:entry colname="col2">38.6</oasis:entry>
         <oasis:entry colname="col3">38.4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">39.4</oasis:entry>
         <oasis:entry colname="col6">39.7</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">36.4</oasis:entry>
         <oasis:entry colname="col9">37.3</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Old ice</oasis:entry>
         <oasis:entry colname="col2">88.9</oasis:entry>
         <oasis:entry colname="col3">92.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">88.5</oasis:entry>
         <oasis:entry colname="col6">92.8</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">88.6</oasis:entry>
         <oasis:entry colname="col9">92.6</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kappa</oasis:entry>
         <oasis:entry colname="col2">0.59</oasis:entry>
         <oasis:entry colname="col3">0.67</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.59</oasis:entry>
         <oasis:entry colname="col6">0.67</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">0.59</oasis:entry>
         <oasis:entry colname="col9">0.67</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e2728">Confusion matrix of the three-class RF classifier which was trained
with and applied to the DS1 summer dataset. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>98.1</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>97.9</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>98.7</bold></oasis:entry>

         <oasis:entry colname="col6">0.7</oasis:entry>

         <oasis:entry colname="col7">0.7</oasis:entry>

         <oasis:entry colname="col8">0.6</oasis:entry>

         <oasis:entry colname="col9">1.2</oasis:entry>

         <oasis:entry colname="col10">1.4</oasis:entry>

         <oasis:entry colname="col11">0.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">4.1</oasis:entry>

         <oasis:entry colname="col4">3.9</oasis:entry>

         <oasis:entry colname="col5">2.4</oasis:entry>

         <oasis:entry colname="col6"><bold>14.9</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>15.5</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>41.8</bold></oasis:entry>

         <oasis:entry colname="col9">81.1</oasis:entry>

         <oasis:entry colname="col10">80.6</oasis:entry>

         <oasis:entry colname="col11">55.8</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">1.5</oasis:entry>

         <oasis:entry colname="col4">1.4</oasis:entry>

         <oasis:entry colname="col5">1.0</oasis:entry>

         <oasis:entry colname="col6">5.5</oasis:entry>

         <oasis:entry colname="col7">5.7</oasis:entry>

         <oasis:entry colname="col8">4.9</oasis:entry>

         <oasis:entry colname="col9"><bold>93.0</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>92.9</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>94.1</bold></oasis:entry>

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

      <p id="d1e2943">Three hyperparameters of the RF classifier were tuned: number of trees
(<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), maximum tree depth (<inline-formula><mml:math id="M77" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>), and maximum number of features
(<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Usually, with the higher <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M80" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, the model better fits
to the data. However, increasing forest size can slow down the training
process considerably, and more importantly, it can cause overfitting.
Therefore, it is important to tune these hyperparameters adequately so<?pagebreak page2636?> that
the processing time and performance are in balance. To determine the best
values of the hyperparameters, a grid search with five-fold cross-validation
(Kohavi, 1995) is used. The grid (all possible combinations of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M82" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>,
and <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values) is set on a logarithmic scale (Table 1) because the
performance change with hyperparameter is typically on a logarithmic scale.
Classification scores with values ranging from 0 (worst performance) to 1
(best performance) are evaluated for each node of the grid and are
interpolated between the nodes by curve fitting. The Richards curve
(Richards, 1959) was used as the fit model because it allows easy estimation
of the model's maximum value. The optimal values for <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, and
<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are selected based on the saturation of score increments, difference
between training and testing scores, and computational load considerations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3055">The 1 d mosaics of Sentinel-1A/1B images (<bold>a</bold>: HH; <bold>b</bold>:
HV) and the ice classification result <bold>(d)</bold> on 13 August 2018. The
publication date of the reference weekly ice chart <bold>(c)</bold> is 16 August 2018.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f09.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS6">
  <label>2.2.6</label><title>Training and validation</title>
      <p id="d1e3085">To train an ice type classifier, a set of collocated SAR images and ice
charts is required. After the preprocessing of the ice chart including
reprojection into the SAR image geometry, only the samples with spatially
and temporally good matches should be fed to the training phase. The
goodness of matching should be examined as the weekly ice chart is produced
by merging information from many image sources acquired in different time
instances; hence the ice locations and conditions are unlikely to match to
those in every SAR image. As no explicit scene identifier or time
information of the images used in ice charting is provided with the ice
chart itself, the basic strategy in image selection is to find a pair of a SAR
image and an ice chart which match well visually. Such an image selection is
trivial, but not easy to automate. Since the weekly ice chart is made partly
based on the SAR<?pagebreak page2637?> images acquired in the past 3 d from the date of
publication, the ice edges in some images match well with those in the ice
chart.</p>
      <p id="d1e3088">In order to automate image selection, the ice edges in SAR images need to be
identified first. Since even an ice–water classifier has not been well-developed yet for Sentinel-1, the image selection procedure has to be done
manually in the beginning. However, once a classifier is generated with high
accuracy, it can be used to automate the procedure; then the whole process
in the proposed scheme will be fully automated. This is why the proposed
algorithm is named <?xmltex \hack{\mbox\bgroup}?>“semi-”<?xmltex \hack{\egroup}?> automated for now. Nevertheless, the manual
selection to guarantee a “good match” is done by visual inspection of
ice–water boundaries overlaid on SAR images. The ice–water boundary can be
extracted easily from the reprojected ice chart. Then the SAR backscattering
image contrasts across the ice–water boundaries are examined in both HH and
HV polarization because the image contrast between ice–water is larger in HV
while smooth level ice is more easily identified in HH.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e3098">Confusion matrix of the three-class RF classifier which was trained
with the DS1 summer dataset and applied to the DS2 summer dataset. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>99.5</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>99.4</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>96.2</bold></oasis:entry>

         <oasis:entry colname="col6">0.2</oasis:entry>

         <oasis:entry colname="col7">0.2</oasis:entry>

         <oasis:entry colname="col8">3.2</oasis:entry>

         <oasis:entry colname="col9">0.3</oasis:entry>

         <oasis:entry colname="col10">0.4</oasis:entry>

         <oasis:entry colname="col11">0.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">5.4</oasis:entry>

         <oasis:entry colname="col4">5.1</oasis:entry>

         <oasis:entry colname="col5">3.0</oasis:entry>

         <oasis:entry colname="col6"><bold>12.0</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>11.2</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>25.8</bold></oasis:entry>

         <oasis:entry colname="col9">82.5</oasis:entry>

         <oasis:entry colname="col10">83.7</oasis:entry>

         <oasis:entry colname="col11">71.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">2.9</oasis:entry>

         <oasis:entry colname="col4">2.7</oasis:entry>

         <oasis:entry colname="col5">2.2</oasis:entry>

         <oasis:entry colname="col6">5.8</oasis:entry>

         <oasis:entry colname="col7">5.8</oasis:entry>

         <oasis:entry colname="col8">13.4</oasis:entry>

         <oasis:entry colname="col9"><bold>91.2</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>91.4</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>84.4</bold></oasis:entry>

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

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T8" specific-use="star"><?xmltex \currentcnt{8}?><label>Table 8</label><caption><p id="d1e3317">Confusion matrix of the three-class RF classifier which was trained
with the DS1 summer dataset and applied to the DS1 summer dataset of each month. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted (FC1) </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center" colsep="1">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">Jun</oasis:entry>

         <oasis:entry colname="col4">Jul</oasis:entry>

         <oasis:entry colname="col5">Aug</oasis:entry>

         <oasis:entry colname="col6">Jun</oasis:entry>

         <oasis:entry colname="col7">Jul</oasis:entry>

         <oasis:entry colname="col8">Aug</oasis:entry>

         <oasis:entry colname="col9">Jun</oasis:entry>

         <oasis:entry colname="col10">Jul</oasis:entry>

         <oasis:entry colname="col11">Aug</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>99.0</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>99.0</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>98.1</bold></oasis:entry>

         <oasis:entry colname="col6">0.9</oasis:entry>

         <oasis:entry colname="col7">0.3</oasis:entry>

         <oasis:entry colname="col8">0.3</oasis:entry>

         <oasis:entry colname="col9">0.1</oasis:entry>

         <oasis:entry colname="col10">0.7</oasis:entry>

         <oasis:entry colname="col11">1.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">4.7</oasis:entry>

         <oasis:entry colname="col4">2.1</oasis:entry>

         <oasis:entry colname="col5">3.9</oasis:entry>

         <oasis:entry colname="col6"><bold>60.6</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>32.6</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>26.5</bold></oasis:entry>

         <oasis:entry colname="col9">34.7</oasis:entry>

         <oasis:entry colname="col10">65.3</oasis:entry>

         <oasis:entry colname="col11">69.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">0.6</oasis:entry>

         <oasis:entry colname="col4">0.8</oasis:entry>

         <oasis:entry colname="col5">2.1</oasis:entry>

         <oasis:entry colname="col6">7.7</oasis:entry>

         <oasis:entry colname="col7">7.7</oasis:entry>

         <oasis:entry colname="col8">10.1</oasis:entry>

         <oasis:entry colname="col9"><bold>91.7</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>91.5</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>87.8</bold></oasis:entry>

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

      <p id="d1e3532">After the image selection, the samples in the selected images are split
randomly into training and test datasets with a ratio of <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>. For the
training dataset, further data selection is made by excluding the samples
residing close to the polygon boundaries. This is to account for possible
mismatch due to various reasons (e.g. ice drift, vector mapping error,
image geocoding error). In this study, only the data from pixels more
than 3 km away from the polygon boundaries were fed into the training
process. Once the hyperparameter optimization is done, the RF classifier is
trained for the training dataset. The trained classifier is then applied to
the test dataset. For performance evaluation, we use confusion matrix and
Cohen's kappa coefficient <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> (Cohen, 1960), which measures the
agreement between two rasters (in this study, they are the output from the
trained classifier and the reference ice chart), taking account of the
possibility of the agreement occurring by chance. The validation is done in
the same way but using a completely independent dataset. The DS1 was used to
run the training phase. Among 4485 images in total, we selected 840 images
(419 for the winter season and 421 for the summer season) of which ice edges match
well with the collocated ice chart. From the selected images, 120 million
samples covering open water and sea ice were divided into training and test
datasets. The DS2 was used to evaluate the performance of the trained
classifier using a temporally independent dataset of 513 images (281 for the
winter season and 232 for the summer season). The distribution of the image
acquisition dates prior to the publication of the reference ice chart is
shown in Table 2.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T9" specific-use="star"><?xmltex \currentcnt{9}?><label>Table 9</label><caption><p id="d1e3557">Confusion matrix of the three-class RF classifier which was trained
with the DS1 summer dataset and applied to the DS2 summer dataset of each month. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted (FC1) </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">Jun</oasis:entry>

         <oasis:entry colname="col4">Jul</oasis:entry>

         <oasis:entry colname="col5">Aug</oasis:entry>

         <oasis:entry colname="col6">Jun</oasis:entry>

         <oasis:entry colname="col7">Jul</oasis:entry>

         <oasis:entry colname="col8">Aug</oasis:entry>

         <oasis:entry colname="col9">Jun</oasis:entry>

         <oasis:entry colname="col10">Jul</oasis:entry>

         <oasis:entry colname="col11">Aug</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>90.6</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>99.5</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>99.7</bold></oasis:entry>

         <oasis:entry colname="col6">8.1</oasis:entry>

         <oasis:entry colname="col7">0.2</oasis:entry>

         <oasis:entry colname="col8">0.1</oasis:entry>

         <oasis:entry colname="col9">1.3</oasis:entry>

         <oasis:entry colname="col10">0.3</oasis:entry>

         <oasis:entry colname="col11">0.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">3.4</oasis:entry>

         <oasis:entry colname="col4">4.0</oasis:entry>

         <oasis:entry colname="col5">4.2</oasis:entry>

         <oasis:entry colname="col6"><bold>55.6</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>41.4</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>11.0</bold></oasis:entry>

         <oasis:entry colname="col9">41.0</oasis:entry>

         <oasis:entry colname="col10">54.9</oasis:entry>

         <oasis:entry colname="col11">84.9</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">1.4</oasis:entry>

         <oasis:entry colname="col4">3.4</oasis:entry>

         <oasis:entry colname="col5">3.4</oasis:entry>

         <oasis:entry colname="col6">11.2</oasis:entry>

         <oasis:entry colname="col7">10.9</oasis:entry>

         <oasis:entry colname="col8">6.3</oasis:entry>

         <oasis:entry colname="col9"><bold>87.5</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>85.6</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>90.3</bold></oasis:entry>

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

      <p id="d1e3772">It might not be enough to assess the quality of the classifier output when
it is trained with, and evaluated against, only NIC ice charts. The accuracy
could be indirectly investigated by comparing the output from our classifier
against another data source, such as the OSI SAF sea ice type<?pagebreak page2638?> product
(OSI-403-c). The ice classes of OSI-403-c are assigned from atmospherically
corrected brightness temperatures of passive microwave radiometers (SSMIS
and AMSR2) and backscatter values of radar scatterometer (ASCAT), using a
Bayesian approach (Aaboe et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e3777">The 1 d mosaics of Sentinel-1A/1B images (<bold>a</bold>: HH; <bold>b</bold>: HV) and the ice classification result <bold>(d)</bold> on 16 August 2018. The publication date of the reference weekly ice chart  <bold>(c)</bold> is 16 August 2018.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f10.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e3801">An example of the inconsistency of the ice charts. Note that the
SoD labels and colours are of an original NIC ice chart, while those in Figs. 7
and 8 are of a simplified version as described in Sect. 2.2.1. The SoDs from
the NIC ice charts on different dates (26 December 2018 and 2 January 2019)
are superimposed on the Sentinel-1 backscattering image of the corresponding
dates. The same ice floe (red outline) is classified differently in each ice
chart (old ice in <bold>a</bold> and first-year ice in <bold>b</bold>)
despite the similarity in the SAR backscattering images. Source credits:
U.S. National Ice Center (colours) and European Space Agency (background).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f11.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e3828">We trained three RF classifiers with different feature configurations: (i) FC1: Haralick texture features and CV; (ii) FC2: Haralick texture features,
CV, and incidence angle; and (iii) FC3: Haralick texture features, CV, incidence
angle, and day of the year.</p>
      <?pagebreak page2639?><p id="d1e3831">As expected, the classification score increases with the number of trees
(crosses in Fig. 5a), and Richards curve (dashed line) fits
well to the observations (RMSE <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The optimal
<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value is selected where the score increment per tree (i.e. local
slope) becomes less than 0.001 (i.e. accuracy increase of 0.1 %) and
constitutes 11 trees, thus keeping the forest size small. The scores also
increase with the maximum tree depth (crosses in Fig. 5b), but
Richards' curve (dashed line) does not fit so well (RMSE <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and cannot be used for finding the optimal <inline-formula><mml:math id="M92" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> value. This can
be explained by overfitting of the classifier and illustrated by the
difference between training and testing scores (Fig. 5c):
a small difference between the scores (for <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>) indicates similar
performance on training and testing datasets, while a large difference (for
<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>) indicates that the testing dataset is processed with worse results. The
optimal <inline-formula><mml:math id="M95" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> value is therefore selected where the score difference becomes
higher than 0.03 and constitutes eight levels. The optimal value of the number
of features (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was selected using the same criterion as for <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
and the value constitutes 10 features. As a result, the optimal
hyperparameters of the number of trees, the maximum tree depth, and the
number of features were 11, 8, and 10, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e3952">The ice types in NIC ice chart <bold>(a)</bold> and OSI SAF sea ice
type product <bold>(b)</bold> for the same date (8 February 2019). Note that the SoD
labels and colours follow those defined in each ice chart format. Source
credits: U.S. National Ice Center <bold>(a)</bold> and EUMETSAT Ocean and Sea Ice
Satellite Application Facilities <bold>(b)</bold>.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://tc.copernicus.org/articles/14/2629/2020/tc-14-2629-2020-f12.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T10" specific-use="star"><?xmltex \currentcnt{10}?><label>Table 10</label><caption><p id="d1e3977">Confusion matrix of the three-class RF classifier which was
trained and applied to the DS1 winter dataset. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>92.2</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>92.5</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>93.6</bold></oasis:entry>

         <oasis:entry colname="col6">7.8</oasis:entry>

         <oasis:entry colname="col7">7.4</oasis:entry>

         <oasis:entry colname="col8">6.3</oasis:entry>

         <oasis:entry colname="col9">0.0</oasis:entry>

         <oasis:entry colname="col10">0.0</oasis:entry>

         <oasis:entry colname="col11">0.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">6.4</oasis:entry>

         <oasis:entry colname="col4">5.5</oasis:entry>

         <oasis:entry colname="col5">5.5</oasis:entry>

         <oasis:entry colname="col6"><bold>83.8</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>85.3</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>85.5</bold></oasis:entry>

         <oasis:entry colname="col9">9.8</oasis:entry>

         <oasis:entry colname="col10">9.2</oasis:entry>

         <oasis:entry colname="col11">9.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">0.2</oasis:entry>

         <oasis:entry colname="col4">0.2</oasis:entry>

         <oasis:entry colname="col5">0.2</oasis:entry>

         <oasis:entry colname="col6">8.9</oasis:entry>

         <oasis:entry colname="col7">8.5</oasis:entry>

         <oasis:entry colname="col8">8.7</oasis:entry>

         <oasis:entry colname="col9"><bold>90.9</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>91.3</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>91.1</bold></oasis:entry>

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

      <p id="d1e4192">The trained five-class classifier consists of five binary sub-classifiers;
each of them is used for discriminating one specific class from the others.
For each sub-classifier, each texture feature has a different weight in
decision making. The fraction of the samples that each texture feature
contributes can be used to compute the relative importance of the features,
and the averaged estimates of them over several randomized trees serve as an
indicator of feature importance (Louppe, 2014). The feature importance of
the sub-classifiers is presented in Fig. 6. The overall pattern shows that
the features of HV polarization play a more important role than those of HH
polarization. For HH polarization, the sum average, which is equal to the
mean backscattering intensity in each subwindow, was the prominent feature.
For HV polarization, however, contrast and variance- and entropy-related
features were more important. The classifiers for open water and old ice
have stronger dependencies on HV polarization than others. This is
understandable because the main radar scattering mechanisms for those two
types are strongly characterized by the portion of volume scattering: low
for calm water and high for dry ice with low salinity (old ice). The
classifier for new ice has a distinctive pattern that the sum averages in
both polarizations are much more important than other features. This might
be because the new ice has different types of recently formed ice including
nilas, which is smooth but rafting can make rough features, and frost
flowers, which introduce high surface roughness and volume scattering
(Isleifson et al., 2014). Thus the new ice can appear either featureless and
dark or complex and bright in a SAR image (Dierking, 2010). The large range in
backscatter values makes it hard to define characteristic texture in the new
ice patch.</p>
      <p id="d1e4195">The confusion matrix for testing the trained classifier for winter season
with the test dataset (DS1) is shown in Table 3. Three cases with
different feature configurations (FC1–FC3) were tested. The accuracies for
open water and old ice were higher than 90 %; however, those for young ice
and first-year ice were around 60 %. The mean difference between the
results of FC1 and FC2 was only 1.2 %, indicating that residual angular
dependency was negligible after the incidence angle correction. However, the
accuracy significantly improved from FC2 to FC3, especially with new ice
(21.2 %). The Cohen kappa coefficients <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> for FC1, FC2, and FC3
were 0.70, 0.71, and 0.77, respectively. It should be noted that the
evaluation of the DS1 was carried out with the input dataset that was used
for training. Thus, the test and training data share the same ice conditions
as well as spatio-temporal coverage. As a result, the <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> might
contain correlation which is not preferable for proper evaluation. Table 4
shows the confusion matrix for validation results from the DS2 of which the
accuracy of open water and old ice was at a similar level, compared to the
DS1. Meanwhile, the accuracy of young ice and first-year ice decreased
considerably. The differences between the results of FC1, FC2, and FC3 were
insignificant. This result is opposite to the DS1 inferring that the
training with FC3 was overfitted and the day of the year may not correspond
to the temperature, air–sea fluxes, or weather regimes. The <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> values for
FC1, FC2, and FC3 with the DS2 were 0.67, 0.67, and 0.67, respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T11" specific-use="star"><?xmltex \currentcnt{11}?><label>Table 11</label><caption><p id="d1e4222">Confusion matrix of the three-class RF classifier which was
trained with the DS1 winter dataset and applied to the DS2 winter dataset. The bold font indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col11" align="center">Predicted </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">OW (open water) </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">mFYI (mixed first-year ice) </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">OI (old ice) </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Case</oasis:entry>

         <oasis:entry colname="col3">FC1</oasis:entry>

         <oasis:entry colname="col4">FC2</oasis:entry>

         <oasis:entry colname="col5">FC3</oasis:entry>

         <oasis:entry colname="col6">FC1</oasis:entry>

         <oasis:entry colname="col7">FC2</oasis:entry>

         <oasis:entry colname="col8">FC3</oasis:entry>

         <oasis:entry colname="col9">FC1</oasis:entry>

         <oasis:entry colname="col10">FC2</oasis:entry>

         <oasis:entry colname="col11">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">Actual</oasis:entry>

         <oasis:entry colname="col2">OW</oasis:entry>

         <oasis:entry colname="col3"><bold>91.4</bold></oasis:entry>

         <oasis:entry colname="col4"><bold>91.7</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>91.7</bold></oasis:entry>

         <oasis:entry colname="col6">8.6</oasis:entry>

         <oasis:entry colname="col7">8.5</oasis:entry>

         <oasis:entry colname="col8">8.5</oasis:entry>

         <oasis:entry colname="col9">0.0</oasis:entry>

         <oasis:entry colname="col10">0.0</oasis:entry>

         <oasis:entry colname="col11">0.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">mFYI</oasis:entry>

         <oasis:entry colname="col3">9.4</oasis:entry>

         <oasis:entry colname="col4">8.5</oasis:entry>

         <oasis:entry colname="col5">9.9</oasis:entry>

         <oasis:entry colname="col6"><bold>75.0</bold></oasis:entry>

         <oasis:entry colname="col7"><bold>76.5</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>74.6</bold></oasis:entry>

         <oasis:entry colname="col9">15.6</oasis:entry>

         <oasis:entry colname="col10">15.2</oasis:entry>

         <oasis:entry colname="col11">15.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">OI</oasis:entry>

         <oasis:entry colname="col3">0.3</oasis:entry>

         <oasis:entry colname="col4">0.3</oasis:entry>

         <oasis:entry colname="col5">0.3</oasis:entry>

         <oasis:entry colname="col6">6.3</oasis:entry>

         <oasis:entry colname="col7">6.5</oasis:entry>

         <oasis:entry colname="col8">6.6</oasis:entry>

         <oasis:entry colname="col9"><bold>93.3</bold></oasis:entry>

         <oasis:entry colname="col10"><bold>93.2</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>93.1</bold></oasis:entry>

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

      <p id="d1e4437">To see how the denoising step in Sect. 2.2.2 led to improvements in the
classification accuracies, the same training<?pagebreak page2640?> and evaluation were conducted
for the same dataset without applying the textural noise correction (Table 5). In all configurations (FC1–FC3), the accuracies improved for young ice
(<inline-formula><mml:math id="M101" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>2.4 % to <inline-formula><mml:math id="M102" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6.2 %) and old ice (<inline-formula><mml:math id="M103" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>3.9 % to <inline-formula><mml:math id="M104" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4.5 %), which were
most pronounced compared to those for open water (<inline-formula><mml:math id="M105" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>1.1 % to <inline-formula><mml:math id="M106" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.9 %)
and first-year ice (<inline-formula><mml:math id="M107" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.2 % to <inline-formula><mml:math id="M108" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.9 %). On the contrary, a small
accuracy decrease was observed for new ice (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> % to <inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3 %).
Nevertheless, the improvement in <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M112" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>0.08) demonstrates a clear
improvement in the overall classification result.</p>
      <p id="d1e4530">The confusion matrix for testing the trained classifier for the summer season
with the test dataset (DS1) is shown in Table 6. As described in Sect. 2.2.1, the further simplified three-class classification is applied. The
accuracies for open water and old ice were higher than 92 %; however, the
accuracies for mixed first-year ice were only around 15 % in both FC1 and
FC2 and 42 % in FC3. The large difference between the results of FC1-FC2
and FC3 indicates that the mixed first-year ice likely changes at short timescales. The misclassifications for mixed first-year ice were mostly into old
ice. This might be because of the surface melting and the corresponding
image textures which make the discrimination between the mixed first-year
ice and old ice difficult. The same patterns were observed from the
confusion matrix (Table 7) for validation results from the DS2, except that
the accuracy decrease from Tables 6 to  7 was particularly large for
FC3, meaning overfitting for DS1. However, it is unclear if the low accuracy
for mixed first-year ice is due to the classifier itself or the data. To
unravel this, the data were divided into three groups of 1 month each (June,
July, August), and then separate classifiers were trained and tested. Tables 8
and  9 show the results with FC1 configuration for<?pagebreak page2641?> DS1 and DS2,
respectively. There was a rapid accuracy decrease for mixed first-year ice
from June to August in both results (from 60.6 % to 26.5 % for DS1 and
from 55.6 % to 11.0 % for DS2). As there is no particularly large
difference between the numbers in Tables 8 and  9, meaning the
classifiers were not overfitting, the very low accuracies for mixed
first-year ice in Table 6 (14.9 %) and Table 7 (12.0 %) seem to be due
to a too large temporal extent for a single classifier. In other words, the
classifier for the summer season needs to be split into multiple groups with shorter
time spans, and/or a feature that can effectively account for surface melting
needs to be introduced into the algorithm for further development. Based on
these results so far, the trained classifiers in the summer season for 3
months in bulk failed in distinguishing mixed first-year ice from old ice;
thus they are close to ice–water discriminators rather than ice type
classifiers.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T12" specific-use="star"><?xmltex \currentcnt{12}?><label>Table 12</label><caption><p id="d1e4536">Confusion matrix of the three-class RF classifier which was
trained with the DS1 winter dataset and applied to the DS2 winter dataset with
reference to the OSI SAF sea ice type product (OSI-403-c). Bold indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <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:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry rowsep="1" namest="col4" nameend="col12" align="center">Predicted (classifier was trained with NIC ice chart) </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry rowsep="1" namest="col4" nameend="col6" align="center" colsep="1">Open water </oasis:entry>

         <oasis:entry rowsep="1" namest="col7" nameend="col9" align="center" colsep="1">First-year ice </oasis:entry>

         <oasis:entry rowsep="1" namest="col10" nameend="col12" align="center">Multi-year ice </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Case</oasis:entry>

         <oasis:entry colname="col4">FC1</oasis:entry>

         <oasis:entry colname="col5">FC2</oasis:entry>

         <oasis:entry colname="col6">FC3</oasis:entry>

         <oasis:entry colname="col7">FC1</oasis:entry>

         <oasis:entry colname="col8">FC2</oasis:entry>

         <oasis:entry colname="col9">FC3</oasis:entry>

         <oasis:entry colname="col10">FC1</oasis:entry>

         <oasis:entry colname="col11">FC2</oasis:entry>

         <oasis:entry colname="col12">FC3</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="3">Reference</oasis:entry>

         <?xmltex \rotentry?><oasis:entry colname="col2" morerows="3">(OSI SAF)</oasis:entry>

         <oasis:entry colname="col3">Open water</oasis:entry>

         <oasis:entry colname="col4"><bold>85.9</bold></oasis:entry>

         <oasis:entry colname="col5"><bold>86.1</bold></oasis:entry>

         <oasis:entry colname="col6"><bold>86.2</bold></oasis:entry>

         <oasis:entry colname="col7">12.6</oasis:entry>

         <oasis:entry colname="col8">12.4</oasis:entry>

         <oasis:entry colname="col9">12.1</oasis:entry>

         <oasis:entry colname="col10">15.7</oasis:entry>

         <oasis:entry colname="col11">15.3</oasis:entry>

         <oasis:entry colname="col12">16.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col3">First-year ice</oasis:entry>

         <oasis:entry colname="col4">1.9</oasis:entry>

         <oasis:entry colname="col5">1.6</oasis:entry>

         <oasis:entry colname="col6">2.0</oasis:entry>

         <oasis:entry colname="col7"><bold>26.0</bold></oasis:entry>

         <oasis:entry colname="col8"><bold>26.8</bold></oasis:entry>

         <oasis:entry colname="col9"><bold>26.9</bold></oasis:entry>

         <oasis:entry colname="col10">72.1</oasis:entry>

         <oasis:entry colname="col11">71.6</oasis:entry>

         <oasis:entry colname="col12">71.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col3">Multi-year ice</oasis:entry>

         <oasis:entry colname="col4">0.1</oasis:entry>

         <oasis:entry colname="col5">0.1</oasis:entry>

         <oasis:entry colname="col6">0.1</oasis:entry>

         <oasis:entry colname="col7">1.5</oasis:entry>

         <oasis:entry colname="col8">1.4</oasis:entry>

         <oasis:entry colname="col9">1.4</oasis:entry>

         <oasis:entry colname="col10"><bold>98.4</bold></oasis:entry>

         <oasis:entry colname="col11"><bold>98.5</bold></oasis:entry>

         <oasis:entry colname="col12"><bold>98.5</bold></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

         <oasis:entry colname="col8"/>

         <oasis:entry colname="col9"/>

         <oasis:entry colname="col10"/>

         <oasis:entry colname="col11"/>

         <oasis:entry colname="col12"/>

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

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T13"><?xmltex \currentcnt{13}?><label>Table 13</label><caption><p id="d1e4793">Averaged percent agreement of NIC weekly ice chart and OSI SAF
daily sea ice type product (OSI-403-c) for the same publication dates (12 different days) in the studied domain during January–March 2019. Bold indicates where the classification was done correctly.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center">NIC </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Open</oasis:entry>

         <oasis:entry colname="col4">First-year</oasis:entry>

         <oasis:entry colname="col5">Multi-year</oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">water</oasis:entry>

         <oasis:entry colname="col4">ice</oasis:entry>

         <oasis:entry colname="col5">ice</oasis:entry>

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

         <?xmltex \rotentry?><oasis:entry colname="col1" morerows="2">OSI SAF</oasis:entry>

         <oasis:entry colname="col2">Open water</oasis:entry>

         <oasis:entry colname="col3"><bold>90.0</bold></oasis:entry>

         <oasis:entry colname="col4">10.0</oasis:entry>

         <oasis:entry colname="col5">0.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">First-year ice</oasis:entry>

         <oasis:entry colname="col3">0.9</oasis:entry>

         <oasis:entry colname="col4"><bold>58.8</bold></oasis:entry>

         <oasis:entry colname="col5">40.3</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">Multi-year ice</oasis:entry>

         <oasis:entry colname="col3">0.0</oasis:entry>

         <oasis:entry colname="col4">1.0</oasis:entry>

         <oasis:entry colname="col5"><bold>99.0</bold></oasis:entry>

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

      <p id="d1e4912">Figure 7 shows a daily mosaic of Sentinel-1 SAR images over the study area
and the classified ice map in the winter season. For comparison, the NIC
weekly ice chart is also displayed. Despite the SAR images being acquired
3 d before the ice chart was published, the ice edges of the ice
chart match well with the SAR mosaic in most parts because the same SAR data
were used. Overall, the discriminations between ice and non-ice, old ice
and other ice types, and detection of new ice patches look reasonable.
However, some young ice patches, for example the ice patches between the
Svalbard archipelago, are misclassified as first-year ice. Figure 8
shows another daily mosaic made by the images acquired on the same day of
the ice chart publication. Considering notable ice drift in the
backscattering images in Figs. 7 and 8, the SAR-based ice classification
results in both figures looking consistent, well in line with the ice drift.
Although the weekly ice chart is supposed to represent the averaged ice
status in the past few days, the actual ice distribution on the actual date
of the publication can be largely different. This example shows a clear
potential of near-real-time service of ice type classification.</p>
      <p id="d1e4915">Figures 9 and 10 show the same mosaics for the case in the summer season. As
shown in Tables 6 and 7, the misclassifications for the mixed first-year ice
into old ice are pronounced in the large ice patches north  to Svalbard,
while the ice edge positions of the ice chart and the classification result
are in good agreement with each other.</p>
      <p id="d1e4919">To cope with the ambiguous classification for the winter season ice types
with low accuracy, we conducted a test with the three-class classification,
and Tables 10 and 11 show the resulting confusion matrices. The <inline-formula><mml:math id="M113" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> values for
FC1, FC2, and FC3 were 0.83, 0.84, and 0.84 in DS1 and 0.75, 0.75, and 0.74
in DS2, respectively. The dramatic increase in the accuracy of the mixed
first-year ice indicates that the misclassification for the new ice, young
ice, and first-year ice was mostly among themselves. However, the accuracy
decrease from DS1 to DS2 was at a similar level to the case of the
five-class classification. This could have been caused by inconsistent
labelling in the reference ice chart.</p>
      <p id="d1e4929">Figure 11 shows an example of the inconsistent labelling in the reference ice
chart. The SoDs from the NIC ice charts are superimposed on the Sentinel-1
backscattering images. The same ice floe (red outline) is classified
differently in two different ice charts (old ice on the left panel and
first-year ice on the right panel), although it looks almost the same in the
corresponding SAR backscattering images. It should be noted that training
with the ice chart might have included mislabelled small features even if the
image selection based on ice edge matching was successful. Furthermore, the
boundaries between different ice types in the ice chart are normally not as
precise as those in the SAR image-based classification results. Therefore,
the lower classification accuracies compared to those in previous
studies (80 % in Zakhvatkina et al., 2013; 91.7 % in Liu et al., 2015;
87.2 % in Aldenhoff et al., 2018), which used manually classified ice maps
as training and validation reference, are expected.</p>
      <p id="d1e4932">Unfortunately, we could not find an official report regarding the accuracy
of the NIC ice chart information.</p>
      <p id="d1e4935">Table 12 shows the confusion matrices for our three-class classifiers when
their prediction results are compared with the OSI-403-c product as
reference. For one-to-one comparison, it was assumed that the ideal
characteristics of the mixed first-year ice and the old ice in our
three-class classification are equivalent to those of the first-year ice and
the multi-year ice in OSI-403-c. Comparing with the results in Table 11, the
accuracies for open water decreased by 6 %; however, this is mainly
because the ice concentration threshold for<?pagebreak page2642?> ice–water discrimination in
OSI-403-c is 35 %, which is higher than the 20 % that we set in our
preprocessing of the NIC ice chart (Sect. 2.2.1). Thus areas with low ice
concentration in marginal ice zone are most likely annotated as open water
in OSI-403-c. The accuracies for open water at points in the NIC charts with
ice concentration between 20 % and 40 % only were considerably lower,
with 67.4 %, 67.8 %, and 70.1 % for FC1, FC2, and FC3, respectively (not
presented in Table 12). For first-year ice, large portions (72 %) are
misclassified as old ice. This might be partly explained in Fig. 12,
which shows the ice classes in the NIC ice chart and OSI-403-c for the same
publication date. A large extent of old ice in the NIC ice chart is annotated as
multi-year ice in OSI-403-c. As our classifiers were trained with the NIC ice
chart, it is natural to result in more multi-year ice for the area where the
ice type is classified as first-year ice in OSI-403-c. For multi-year ice,
the accuracy was the highest, 98 %.</p>
      <p id="d1e4938">The inconsistency in ice types between the NIC ice chart and OSI-403-c seems
persistent at least for the time coverage of DS2 (January–March in 2019).
Table 13 shows averaged percent agreement of the two sea ice type products
for the same publication dates over 12 weeks (12 one-to-one comparisons as
the NIC ice chart is a weekly product). To make a fair comparison, the
ice-covered areas with ice concentrations lower than 35 %, which is the
threshold for ice–water discrimination in OSI-403-c, were excluded. The
percent agreement for first-year ice (58.8 %) was much lower than that of
open water (90.0 %) and multi-year ice (99.0 %), which is in line with
the results in Table 12. Finding the reason for the clear discrepancy of the
extent of first-year ice between the NIC ice chart and OSI-403-c is beyond
the scope of this study; however, it should be noted that elaborate
future work for cross-calibrating ice types in different ice charts is
necessary.</p>
      <p id="d1e4941">The proposed algorithm has several limitations. First of all, the variations
in radar backscattering and its corresponding image textures due to seasonal
changes were not properly captured. Although day of the year was tested as a
seasonality variable in the FC3 feature configuration, the result did not
show any improvement. This is because SAR image features, which partially
reflect temperature fluxes and weather regimes, might not correspond to
day of the year. Second, the proposed method struggles when the same type of
sea ice is located on different edges of the range swath of SAR images
because the incidence angle dependence could not be normalized perfectly. An
example of such a failure can be seen along the image boundaries at 79.5<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
45<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in Fig. 7 and 79<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 50<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in Fig. 8, approximately. Third, some
artefacts were observed under large ocean swells. In the classified results
in Fig. 8d, there is a misclassified first-year
ice patch (yellow) in the open water area. According to the high-resolution
sea surface wind data from SAR on the Sentinel-1 satellites
(<uri>https://data.nodc.noaa.gov/cgi-bin/iso?id=gov.noaa.nodc:SAR-WINDS-S1</uri>, last access: 18 August 2020),
the wind speed ranged from 17 to 21 m s<inline-formula><mml:math id="M118" 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> at the time of image acquisition,
heavily roughing the water surface. Although we have included images with
both high and low wind conditions in our training data, the image textures
of wind-roughened water surface and ice were confused in some cases, and the
same happened in the image textures of calm water surface and smooth level
ice.</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e5004">A new semi-automated SAR-based sea ice type classification scheme was
proposed in this study. For the first time several ice types were
successfully identified on Sentinel-1 SAR imagery in the winter season, while
only an ice–water<?pagebreak page2643?> discrimination was feasible in the summer season. The main
technological innovation is two-fold: (i) reduced manual work in the
preparation of a large amount of training and validation reference data using
readily available public ice charts and (ii) more objective evaluation of the
SAR-based sea ice type classifier compared to the previous studies conducted
with a small number of images and customized ice type references from sources
not open to the public. A conventional approach for selecting
training and testing data by anonymous human ice experts is undesirable not only
because it is laborious, but also due to subjectivity and lack of
standardization in the assessment of the automated classifier. Therefore,
the performance from different literature sources cannot be intercompared
directly.</p>
      <p id="d1e5007">Test results from the datasets of the winter season acquired over the Fram
Strait and the Barents Sea area showed overall accuracies of 87 % and
60 % and the Cohen kappa coefficients of 0.75 and 0.67 for the
three-class and five-class ice type classifiers, respectively. These are
slightly lower than the numbers in previous studies, and the errors are
attributed not only to the automated algorithm but also to the inconsistency
of the ice charts and the high level of their generalization. Test results
from the datasets of summer seasons showed overall accuracy of 67 % and
the Cohen kappa coefficient of 0.78 for the three-class classifiers.
Considering the misclassifications in different ice types were among
themselves, the three-class classifiers are not really a sea ice type
classifier, but they performed well at least as an ice–water discriminator
with accuracy of 98 %.</p>
      <p id="d1e5010">Based on the results, we envisage that three-class ice type classification
from SAR imagery would be useful for making a global sea ice type product
like OSI SAF OSI-403-c with higher spatial resolution. The proposed approach
importantly showed that a daily ice type mapping from the Sentinel-1 data is
feasible and can help capture details of short-term changes in the stage of
sea ice development. Based on the achieved results, we believe that the
proposed approach may be efficiently used for operational ice charting
services for supporting navigation in the Arctic.</p>
</sec>

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

      <p id="d1e5018">Relevant data can be made available upon request to the authors. The Sentinel-1 data are produced by European Space Agency and are freely available at <uri>https://scihub.copernicus.eu/</uri> upon registration. The weekly ice charts are produced by U.S. National Ice Center and are freely available at <uri>https://www.natice.noaa.gov/</uri>. The daily sea ice type products are produced by Ocean and Sea Ice Satellite Application Facilities and are freely available at <uri>http://osisaf.met.no/</uri>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5033">JWP and AAK formulated the research plan. JWP and AAK developed the algorithm.
JWP implemented the algorithm and performed the data processing. JWP, AAK, MB,
JSW, MWH, and HCK carried out the analyses, and JWP wrote the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5039">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5045">We would like thank the three anonymous reviewers for their invaluable comments and suggestions that helped improve the manuscript. We would also like to thank the editor, John Yackel.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5050">This research has been supported the French Service Hydrographique et
Océanographique de la Marine (SHOM) (SHOM-ImpSIM Project 111222),
the Research Council of Norway and the Russian Foundation for Basic Research
(NORRUSS Project 243608, SONARC), and the Korea Polar Research Institute
(grant no. PE20080).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5056">This paper was edited by John Yackel and reviewed by 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., and Eastwood, S.: Improvement of OSI SAF product
of sea ice edge and sea ice type, EUMETSAT Meteorological Satellite
Conference, Geneva (Switzerland), 22–26 September 2014.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Aaboe, S., Breivik, L.-A., Sørensen, A., Eastwood, S., and Lavergne, T.:
Global sea ice edge and type product user's manual OSI-402-c &amp; OSI-403-c,
Ocean &amp; Sea Ice Satellite Application Facilities (OSI SAF), version 2.3, available at: <uri>http://osisaf.met.no/docs/osisaf_cdop3_ss2_pum_sea-ice-edge-type_v2p3.pdf</uri> (last access: 18 August 2020),
2018.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Adnan, M. N. and Islam, M. Z.: One-Vs-All Binarization Technique in the
Context of Random Forest, Proc. European Symposium on Artificial Neural
Networks, Computational Intelligence and Machine Learning, Bruges (Belgium),
22–24 April 2015.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Aldenhoff, W., Heuzé, C., and Eriksson, L.: Comparison of ice/water
classification in Fram Strait from C- and L-band SAR imagery, Ann. Glaciol.,
59, 112–123, <ext-link xlink:href="https://doi.org/10.1017/aog.2018.7" ext-link-type="DOI">10.1017/aog.2018.7</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Anand, R., Mehrotra, K., Mohan, C. K., and Ranka, S.: Efficient
classification for multiclass problems using modular neural networks, IEEE
T. Neural Networ., 6, 117–124, <ext-link xlink:href="https://doi.org/10.1109/72.363444" ext-link-type="DOI">10.1109/72.363444</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>
Barber, D. G. and LeDrew, E. F.: SAR sea ice discrimination using texture
statistics: A multivariate approach, Photogramm. E. Rem. S., 57, 385–395,
1991.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Cohen, J.: A coefficient of agreement for nominal scales, Educ. Psychol.
Meas., 20, 37–46, <ext-link xlink:href="https://doi.org/10.1177/001316446002000104" ext-link-type="DOI">10.1177/001316446002000104</ext-link>, 1960.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Cortes, C. and Vapnik, V.: Support-vector networks, Mach. Learn., 20,
273–297, <ext-link xlink:href="https://doi.org/10.1007/BF00994018" ext-link-type="DOI">10.1007/BF00994018</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Deng, H. and Clausi, D. A.: Unsupervised segmentation of synthetic aperture
radar sea ice imagery using a novel Markov random field model, IEEE T.
Geosci. Remote, 43, 528–538, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2004.839589" ext-link-type="DOI">10.1109/TGRS.2004.839589</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Dierking, W.: Mapping of different sea ice regimes using images from
Sentinel-1 and ALOS synthetic aperture radar, IEEE T. Geosci. Remote, 48,
1045–1058, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2009.2031806" ext-link-type="DOI">10.1109/TGRS.2009.2031806</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>ESRI (Environmental Systems Research Institute, Inc.): ESRI Shapefile
Technical Description, An ESRI White Paper, available at:
<uri>http://downloads.esri.com/support/whitepapers/mo_/shapefile.pdf</uri> (last access: 18 August 2020), 1998.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>European Space Agency: available at: at <uri>https://scihub.copernicus.eu/</uri>, last access: 19 August 2020.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>
Fernández-Delgado, M., Cernadas, E., Barro, S., and Amorim, D.: Do we
need hundreds of classifiers to solve real world classification problems?,
J. Mach. Learn. Res., 15, 3133–3181, 2014.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>GDAL/OGR contributors: GDAL/OGR Geospatial Data Abstraction software
Library, Open Source Geospatial Foundation, available at: <uri>https://gdal.org</uri> (last access: 18 August 2020),
2019.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Gill, J. P.S., Yackel, J. J., Geldsetzer, T., and Fuller, M. C.: Sensitivity
of C-band synthetic aperture radar polarimetric parameters to snow thickness
over landfast smooth first-year sea ice, Remote Sens. Environ., 166, 34–49,
<ext-link xlink:href="https://doi.org/10.1016/j.rse.2015.06.005" ext-link-type="DOI">10.1016/j.rse.2015.06.005</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Haralick, R. M., Shanmugam, K., and Dinstein, I.: Textural features for image
classification, IEEE T. SYST. MAN. CY.-S., SMC-3, 610–621,
<ext-link xlink:href="https://doi.org/10.1109/TSMC.1973.4309314" ext-link-type="DOI">10.1109/TSMC.1973.4309314</ext-link>, 1973.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Hersbach, H., Stoffelen, A., and de Haan, S.: An improved C-band
scatterometer ocean geophysical model function: CMOD5, J. Geophys. Res.,
112, C03006, <ext-link xlink:href="https://doi.org/10.1029/2006JC003743" ext-link-type="DOI">10.1029/2006JC003743</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Heinrichs, J. F., Cavalieri, D. J., and Markus, T.: Assessment of the AMSR-E
sea ice concentration product at the ice edge using RADARSAT-1 and MODIS
imagery, IEEE T. Geosci. Remote, 44, 3070–3080, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2006.880622" ext-link-type="DOI">10.1109/TGRS.2006.880622</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Ho, T. K.: The random subspace method for constructing decision forests,
IEEE T. Pattern Anal., 20, 832–844, <ext-link xlink:href="https://doi.org/10.1109/34.7096011998" ext-link-type="DOI">10.1109/34.7096011998</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Isleifson, D., Galley, R. J., Barber, D. G., Landy, J. C., Komarov, A. S.,
and Shafai, L.: A study on the C-band polarimetric scattering and physical
characteristics of frost flowers on experimental sea ice, IEEE T. Geosci.
Remote, 52, 1787–1798,
<ext-link xlink:href="https://doi.org/10.1109/TGRS.2013.2255060" ext-link-type="DOI">10.1109/TGRS.2013.2255060</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>
JCOMM (Joint WMO-IOC Technical Commission for Oceanography and Marine
Meteorology): Ice chart colour code standard, JCOMM Technical Report No. 24,
Tech. Rep., World Meteorological Organization, Geneva, Switzerland, 2014a.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>
JCOMM (Joint WMO-IOC Technical Commission for Oceanography and Marine
Meteorology): SIGRID-3: a vector archive format for sea ice georeferenced
information and data, JCOMM Technical Report No. 23, Tech. Rep., World
Meteorological Organization, Geneva, Switzerland, 2014b.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Johannessen, O. M., Alexandrov, V., Frolov, I. Y., Sandven, S., Pettersson,
L. H., Bobylev, L. P., Kloster, K., Smirnov, V. G., Mironov, Y. U., and Babich,
N. G.: Remote sensing of sea ice in the Northern Sea route: Studies and
applications, Springer, Berlin, Heidelberg, <ext-link xlink:href="https://doi.org/10.1007/978-3-540-48840-8" ext-link-type="DOI">10.1007/978-3-540-48840-8</ext-link>,
2006.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Karvonen, J.: A sea ice concentration estimation algorithm utilizing radiometer and SAR data, The Cryosphere, 8, 1639–1650, <ext-link xlink:href="https://doi.org/10.5194/tc-8-1639-2014" ext-link-type="DOI">10.5194/tc-8-1639-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>
Karvonen, J., Vainio, J., Marnela, M., Eriksson, P., and Niskanen, T.: A
comparison between high-resolution EO-based and ice analyst-assigned sea ice
concentrations, IEEE J. Sel. Top. Appl., 8, 1799–1807, 2015.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Karvonen, J.: Baltic sea ice concentration estimation using Sentinel-1 SAR
and AMSR2 microwave radiometer data, IEEE T. Geosci. Remote, 55,
2871–2883, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2017.2655567" ext-link-type="DOI">10.1109/TGRS.2017.2655567</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Keller, M. R., Gifford, C. M., Walton, W. C., and Winstead, N. S.: Ice
analysis based on active and passive radar images, U.S. Patent 9652674 B2,
May 16, available at: <uri>https://patents.google.com/patent/US9652674</uri> (last access: 18 August 2020), 2017.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>
Kohavi, R.: A Study of cross-validation and bootstrap for accuracy
estimation and model selection, Proceedings of the 14th international joint
conference on Artificial intelligence, Montreal, Canada, 20–25 August 1995,
2, 1137–1143, 1995.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Leigh, S., Wang, Z., and Clausi, D. A.: Automated ice-water classification
using dual polarization SAR satellite imagery, IEEE T. Geosci. Remote,
52, 5529–5539, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2013.2290231" ext-link-type="DOI">10.1109/TGRS.2013.2290231</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Liu, H., Guo, H., and Zhang, L.: SVM-based sea ice classification using
textural features and concentration from RADARSAT-2 dual-pol ScanSAR data,
IEEE J. Sel. Top. Appl., 8, 1601–1613, <ext-link xlink:href="https://doi.org/10.1109/JSTARS.2014.2365215" ext-link-type="DOI">10.1109/JSTARS.2014.2365215</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Lohse, J., Doulgeris, A. P., and Dierking, W.: Mapping sea ice types from
Sentinel-1 considering the surface-type dependent effect of incidence angle,
Ann. Glaciol., <ext-link xlink:href="https://doi.org/10.1017/aog.2020.45" ext-link-type="DOI">10.1017/aog.2020.45</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>
Louppe, G.: Understanding random forests: From theory to practice, PhD
Thesis, U. of Liege, University of Liège,
123–144, 2014.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Mahmud, M. S., Geldsetzer, T., Howell, S. E. L., Yackel, J. J., Nandan, V.,
and Scharien, R. K.: Incidence angle dependence of HH-polarized C- and
L-band wintertime backscatter over Arctic sea ice, IEEE T. Geosci. Remote,
56, 6686–6698, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2018.2841343" ext-link-type="DOI">10.1109/TGRS.2018.2841343</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Mäkynen, M. and Karvonen, J.: Incidence angle dependence of first-year
sea ice backscattering coefficient in Sentinel-1 SAR imagery over the Kara
Sea, IEEE T. Geosci. Remote, 55, 6170–6181,
<ext-link xlink:href="https://doi.org/10.1109/TGRS.2017.2721981" ext-link-type="DOI">10.1109/TGRS.2017.2721981</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Mäkynen, M. P., Manninen, A. T., Simila, M. H., Karvonen, J. A., and
Hallikainen, M. T.: Incidence angle dependence of the statistical properties
of C-band HH-polarization backscattering signatures of the Baltic Sea ice,
IEEE T. Geosci. Remote, 40, 2593–2605, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2002.806991" ext-link-type="DOI">10.1109/TGRS.2002.806991</ext-link>,
2002.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Miranda, N.: S-1 constellation product performance status, SeaSAR 2018,
Frascati, Italy, 7–10 May 2018, available at:
<uri>http://seasar2018.esa.int/files/presentation216.pdf</uri> (last access: 18 August 2020), 2018.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Ocean and Sea Ice Satellite Application Facilities: available at: <uri>http://osisaf.met.no/</uri>, last access: 19 August 2020.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Park, J.-W., Korosov, A. A., Babiker, M., Sandven, S., and Won, J.-S.:
Efficient thermal noise removal for Sentinel-1 TOPSAR cross-polarization
channel, IEEE T. Geosci. Remote, 56, 1555–1565,
<ext-link xlink:href="https://doi.org/10.1109/TGRS.2017.2765248" ext-link-type="DOI">10.1109/TGRS.2017.2765248</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Park, J.-W., Won, J.-S., Korosov, A. A., Babiker, M., and Miranda, N.:
Textural noise correction for Sentinel-1 TOPSAR cross-polarization channel
images, IEEE T. Geosci. Remote, 57, 4040–4049,
<ext-link xlink:href="https://doi.org/10.1109/TGRS.2018.2889381" ext-link-type="DOI">10.1109/TGRS.2018.2889381</ext-link>, 2019.</mixed-citation></ref>
      <?pagebreak page2645?><ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Partington, K., Flynn, T., Lamb, D., Bertoia, C., and Dedrick, K: Late
twentieth century Northern Hemisphere sea-ice record from the U.S. National
Ice Center ice charts, J. Geophys. Res., 108, 3343, <ext-link xlink:href="https://doi.org/10.1029/2002JC001623" ext-link-type="DOI">10.1029/2002JC001623</ext-link>,
2003.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Pastusiak, T.: Accuracy of sea ice data from remote sensing methods, its
impact on safe speed determination and planning of voyage in ice-covered
areas, International Journal on Marine Navigation and Safety of Sea
Transportation, 10, 229–248, <ext-link xlink:href="https://doi.org/10.12716/1001.10.02.06" ext-link-type="DOI">10.12716/1001.10.02.06</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel,
O., Blondel, M., Prettenhofer, P., Weiss, R., Dubourg, V., Vanderplas, J.,
Passos, A., Cournapeau, D., Brucher, M., Perrot, M., and Duchesnay, E.:
Scikit-learn: Machine learning in Python, J. Mach. Learn. Res., 12,
2825–2830, <ext-link xlink:href="https://doi.org/10.1016/j.patcog.2011.04.006" ext-link-type="DOI">10.1016/j.patcog.2011.04.006</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Ressel, R., Frost, A., and Lehner, S.: A neural network-based classification
for sea ice types on X-band SAR images, IEEE J. Sel. Top. Appl., 8,
3672–3680, <ext-link xlink:href="https://doi.org/10.1109/JSTARS.2015.2436993" ext-link-type="DOI">10.1109/JSTARS.2015.2436993</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Richards, F. J.: A flexible growth function for empirical use, J. Exp. Bot.,
10, 290–300, <ext-link xlink:href="https://doi.org/10.1093/jxb/10.2.290" ext-link-type="DOI">10.1093/jxb/10.2.290</ext-link>, 1959.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Scharien, R. K., Landy, J., and Barber, D. G.: First-year sea ice melt pond
fraction estimation from dual-polarisation C-band SAR – Part 1: In situ
observations, The Cryosphere, 8, 2147–2162, <ext-link xlink:href="https://doi.org/10.5194/tc-8-2147-2014" ext-link-type="DOI">10.5194/tc-8-2147-2014</ext-link>, 2014</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>
Scheuchl, B., Flett, D., Caves, R., and Cumming, I.: Potential of RADARSAT-2
data for operational sea ice monitoring, Can. J. Remote Sens., 30,
448–471, 2004.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Shokr, M. E.: Evaluation of second-order texture parameters for sea ice
classification from radar images, J. Geophys. Res.-Ocean., 96,
10625–10640, 1991.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Smedsrud, L. H., Halvorsen, M. H., Stroeve, J. C., Zhang, R., and Kloster,
K.: Fram Strait sea ice export variability and September Arctic sea ice
extent over the last 80 years, The Cryosphere, 11, 65–79,
<ext-link xlink:href="https://doi.org/10.5194/tc-11-65-2017" ext-link-type="DOI">10.5194/tc-11-65-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Soh, L.-K. and Tsatsoulis, C.: Texture analysis of SAR sea ice imagery using
gray level co-occurrence matrices, IEEE T. Geosci. Remote, 37, 780–795,
<ext-link xlink:href="https://doi.org/10.1109/36.752194" ext-link-type="DOI">10.1109/36.752194</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>U.S. National Ice Center: available at: <uri>https://www.natice.noaa.gov/</uri>, last access: 19 August 2020.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Wang, L., Scott, K. A., and Clausi, D. A.: Sea ice concentration estimation
during freeze-up from SAR imagery using a convolutional neural network,
Remote Sens.-Basel, 9, 408, <ext-link xlink:href="https://doi.org/10.3390/rs9050408" ext-link-type="DOI">10.3390/rs9050408</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>
WMO (World Meteorological Organization): Sea-ice information services in the
world, WMO-No. 574, World Meteorological Organization, Geneva, Switzerland,
2017.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Zakhvatkina, N. Y., Alexandrov, V. Y., Johannessen, O. M., Sandven, S., and
Frolov, I. Y.: Classification of sea ice types in ENVISAT synthetic aperture
radar images, IEEE T. Geosci. Remote, 51, 2587–2600,
<ext-link xlink:href="https://doi.org/10.1109/TGRS.2012.2212445" ext-link-type="DOI">10.1109/TGRS.2012.2212445</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Zakhvatkina, N., Korosov, A., Muckenhuber, S., Sandven, S., and Babiker, M.:
Operational algorithm for ice-water classification on dual-polarized
RADARSAT-2 images, The Cryosphere, 11, 33–46, <ext-link xlink:href="https://doi.org/10.5194/tc-11-33-2017" ext-link-type="DOI">10.5194/tc-11-33-2017</ext-link>,
2017.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Zakhvatkina, N., Smirnov, V., and Bychkova, I.: Satellite SAR data-based sea
ice classification: An overview, Geosci. J., 9, 152, <ext-link xlink:href="https://doi.org/10.3390/geosciences9040152" ext-link-type="DOI">10.3390/geosciences9040152</ext-link>, 2019.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Classification of sea ice types in Sentinel-1 synthetic aperture radar images</article-title-html>
<abstract-html><p>A new Sentinel-1 image-based sea ice classification
algorithm using a machine-learning-based model trained in a semi-automated
manner is proposed to support daily ice charting. Previous studies mostly
rely on manual work in selecting training and validation data. We show that
the readily available ice charts from the operational ice services can
reduce the amount of manual work in preparation of large amounts of
training/testing data. Furthermore, they can feed highly reliable data to
the trainer by indirectly exploiting the best ability of the sea ice experts
working at the operational ice services. The proposed scheme has two phases:
training and operational. Both phases start from the removal of thermal,
scalloping, and textural noise from Sentinel-1 data and calculation of grey
level co-occurrence matrix and Haralick texture features in a sliding
window. In the training phase, the weekly ice charts are reprojected into
the SAR image geometry. A random forest classifier is trained with the
texture features on input and labels from the rasterized ice charts on
output. Then, the trained classifier is directly applied to the texture
features from Sentinel-1 images operationally. Test results from the two
datasets spanning winter (January–March) and summer (June–August) seasons acquired
over the Fram Strait and the Barents Sea showed that the classifier is
capable of retrieving three generalized cover types (open water, mixed
first-year ice, old ice) with overall accuracies of 87&thinsp;% and 67&thinsp;% in
winter and summer seasons, respectively. For the summer season, the classifier
failed in distinguishing mixed first-year ice from old ice with accuracy of
only 12&thinsp;%; however, it performed rather like an ice–water discriminator
with high accuracy of 98&thinsp;% as the misclassification between the mixed
first-year ice and old ice was between them. The accuracy for five cover
types (open water, new ice, young ice, first-year ice, old ice) in the winter
season was 60&thinsp;%. The errors are attributed both to incorrect manual
classification on the ice charts and to the semi-automated algorithm.
Finally, we demonstrate the potential for near-real-time service of the ice
map using daily mosaicked Sentinel-1 images.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Aaboe, S., Breivik, L.-A., and Eastwood, S.: Improvement of OSI SAF product
of sea ice edge and sea ice type, EUMETSAT Meteorological Satellite
Conference, Geneva (Switzerland), 22–26 September 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Aaboe, S., Breivik, L.-A., Sørensen, A., Eastwood, S., and Lavergne, T.:
Global sea ice edge and type product user's manual OSI-402-c &amp; OSI-403-c,
Ocean &amp; Sea Ice Satellite Application Facilities (OSI SAF), version 2.3, available at: <a href="http://osisaf.met.no/docs/osisaf_cdop3_ss2_pum_sea-ice-edge-type_v2p3.pdf" target="_blank"/> (last access: 18 August 2020),
2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Adnan, M. N. and Islam, M. Z.: One-Vs-All Binarization Technique in the
Context of Random Forest, Proc. European Symposium on Artificial Neural
Networks, Computational Intelligence and Machine Learning, Bruges (Belgium),
22–24 April 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Aldenhoff, W., Heuzé, C., and Eriksson, L.: Comparison of ice/water
classification in Fram Strait from C- and L-band SAR imagery, Ann. Glaciol.,
59, 112–123, <a href="https://doi.org/10.1017/aog.2018.7" target="_blank">https://doi.org/10.1017/aog.2018.7</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Anand, R., Mehrotra, K., Mohan, C. K., and Ranka, S.: Efficient
classification for multiclass problems using modular neural networks, IEEE
T. Neural Networ., 6, 117–124, <a href="https://doi.org/10.1109/72.363444" target="_blank">https://doi.org/10.1109/72.363444</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Barber, D. G. and LeDrew, E. F.: SAR sea ice discrimination using texture
statistics: A multivariate approach, Photogramm. E. Rem. S., 57, 385–395,
1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Cohen, J.: A coefficient of agreement for nominal scales, Educ. Psychol.
Meas., 20, 37–46, <a href="https://doi.org/10.1177/001316446002000104" target="_blank">https://doi.org/10.1177/001316446002000104</a>, 1960.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Cortes, C. and Vapnik, V.: Support-vector networks, Mach. Learn., 20,
273–297, <a href="https://doi.org/10.1007/BF00994018" target="_blank">https://doi.org/10.1007/BF00994018</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Deng, H. and Clausi, D. A.: Unsupervised segmentation of synthetic aperture
radar sea ice imagery using a novel Markov random field model, IEEE T.
Geosci. Remote, 43, 528–538, <a href="https://doi.org/10.1109/TGRS.2004.839589" target="_blank">https://doi.org/10.1109/TGRS.2004.839589</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Dierking, W.: Mapping of different sea ice regimes using images from
Sentinel-1 and ALOS synthetic aperture radar, IEEE T. Geosci. Remote, 48,
1045–1058, <a href="https://doi.org/10.1109/TGRS.2009.2031806" target="_blank">https://doi.org/10.1109/TGRS.2009.2031806</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
ESRI (Environmental Systems Research Institute, Inc.): ESRI Shapefile
Technical Description, An ESRI White Paper, available at:
<a href="http://downloads.esri.com/support/whitepapers/mo_/shapefile.pdf" target="_blank"/> (last access: 18 August 2020), 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
European Space Agency: available at: at <a href="https://scihub.copernicus.eu/" target="_blank"/>, last access: 19 August 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Fernández-Delgado, M., Cernadas, E., Barro, S., and Amorim, D.: Do we
need hundreds of classifiers to solve real world classification problems?,
J. Mach. Learn. Res., 15, 3133–3181, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
GDAL/OGR contributors: GDAL/OGR Geospatial Data Abstraction software
Library, Open Source Geospatial Foundation, available at: <a href="https://gdal.org" target="_blank"/> (last access: 18 August 2020),
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Gill, J. P.S., Yackel, J. J., Geldsetzer, T., and Fuller, M. C.: Sensitivity
of C-band synthetic aperture radar polarimetric parameters to snow thickness
over landfast smooth first-year sea ice, Remote Sens. Environ., 166, 34–49,
<a href="https://doi.org/10.1016/j.rse.2015.06.005" target="_blank">https://doi.org/10.1016/j.rse.2015.06.005</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Haralick, R. M., Shanmugam, K., and Dinstein, I.: Textural features for image
classification, IEEE T. SYST. MAN. CY.-S., SMC-3, 610–621,
<a href="https://doi.org/10.1109/TSMC.1973.4309314" target="_blank">https://doi.org/10.1109/TSMC.1973.4309314</a>, 1973.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Hersbach, H., Stoffelen, A., and de Haan, S.: An improved C-band
scatterometer ocean geophysical model function: CMOD5, J. Geophys. Res.,
112, C03006, <a href="https://doi.org/10.1029/2006JC003743" target="_blank">https://doi.org/10.1029/2006JC003743</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Heinrichs, J. F., Cavalieri, D. J., and Markus, T.: Assessment of the AMSR-E
sea ice concentration product at the ice edge using RADARSAT-1 and MODIS
imagery, IEEE T. Geosci. Remote, 44, 3070–3080, <a href="https://doi.org/10.1109/TGRS.2006.880622" target="_blank">https://doi.org/10.1109/TGRS.2006.880622</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Ho, T. K.: The random subspace method for constructing decision forests,
IEEE T. Pattern Anal., 20, 832–844, <a href="https://doi.org/10.1109/34.7096011998" target="_blank">https://doi.org/10.1109/34.7096011998</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Isleifson, D., Galley, R. J., Barber, D. G., Landy, J. C., Komarov, A. S.,
and Shafai, L.: A study on the C-band polarimetric scattering and physical
characteristics of frost flowers on experimental sea ice, IEEE T. Geosci.
Remote, 52, 1787–1798,
<a href="https://doi.org/10.1109/TGRS.2013.2255060" target="_blank">https://doi.org/10.1109/TGRS.2013.2255060</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
JCOMM (Joint WMO-IOC Technical Commission for Oceanography and Marine
Meteorology): Ice chart colour code standard, JCOMM Technical Report No. 24,
Tech. Rep., World Meteorological Organization, Geneva, Switzerland, 2014a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
JCOMM (Joint WMO-IOC Technical Commission for Oceanography and Marine
Meteorology): SIGRID-3: a vector archive format for sea ice georeferenced
information and data, JCOMM Technical Report No. 23, Tech. Rep., World
Meteorological Organization, Geneva, Switzerland, 2014b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Johannessen, O. M., Alexandrov, V., Frolov, I. Y., Sandven, S., Pettersson,
L. H., Bobylev, L. P., Kloster, K., Smirnov, V. G., Mironov, Y. U., and Babich,
N. G.: Remote sensing of sea ice in the Northern Sea route: Studies and
applications, Springer, Berlin, Heidelberg, <a href="https://doi.org/10.1007/978-3-540-48840-8" target="_blank">https://doi.org/10.1007/978-3-540-48840-8</a>,
2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Karvonen, J.: A sea ice concentration estimation algorithm utilizing radiometer and SAR data, The Cryosphere, 8, 1639–1650, <a href="https://doi.org/10.5194/tc-8-1639-2014" target="_blank">https://doi.org/10.5194/tc-8-1639-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Karvonen, J., Vainio, J., Marnela, M., Eriksson, P., and Niskanen, T.: A
comparison between high-resolution EO-based and ice analyst-assigned sea ice
concentrations, IEEE J. Sel. Top. Appl., 8, 1799–1807, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Karvonen, J.: Baltic sea ice concentration estimation using Sentinel-1 SAR
and AMSR2 microwave radiometer data, IEEE T. Geosci. Remote, 55,
2871–2883, <a href="https://doi.org/10.1109/TGRS.2017.2655567" target="_blank">https://doi.org/10.1109/TGRS.2017.2655567</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Keller, M. R., Gifford, C. M., Walton, W. C., and Winstead, N. S.: Ice
analysis based on active and passive radar images, U.S. Patent 9652674 B2,
May 16, available at: <a href="https://patents.google.com/patent/US9652674" target="_blank"/> (last access: 18 August 2020), 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Kohavi, R.: A Study of cross-validation and bootstrap for accuracy
estimation and model selection, Proceedings of the 14th international joint
conference on Artificial intelligence, Montreal, Canada, 20–25 August 1995,
2, 1137–1143, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Leigh, S., Wang, Z., and Clausi, D. A.: Automated ice-water classification
using dual polarization SAR satellite imagery, IEEE T. Geosci. Remote,
52, 5529–5539, <a href="https://doi.org/10.1109/TGRS.2013.2290231" target="_blank">https://doi.org/10.1109/TGRS.2013.2290231</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Liu, H., Guo, H., and Zhang, L.: SVM-based sea ice classification using
textural features and concentration from RADARSAT-2 dual-pol ScanSAR data,
IEEE J. Sel. Top. Appl., 8, 1601–1613, <a href="https://doi.org/10.1109/JSTARS.2014.2365215" target="_blank">https://doi.org/10.1109/JSTARS.2014.2365215</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Lohse, J., Doulgeris, A. P., and Dierking, W.: Mapping sea ice types from
Sentinel-1 considering the surface-type dependent effect of incidence angle,
Ann. Glaciol., <a href="https://doi.org/10.1017/aog.2020.45" target="_blank">https://doi.org/10.1017/aog.2020.45</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Louppe, G.: Understanding random forests: From theory to practice, PhD
Thesis, U. of Liege, University of Liège,
123–144, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Mahmud, M. S., Geldsetzer, T., Howell, S. E. L., Yackel, J. J., Nandan, V.,
and Scharien, R. K.: Incidence angle dependence of HH-polarized C- and
L-band wintertime backscatter over Arctic sea ice, IEEE T. Geosci. Remote,
56, 6686–6698, <a href="https://doi.org/10.1109/TGRS.2018.2841343" target="_blank">https://doi.org/10.1109/TGRS.2018.2841343</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Mäkynen, M. and Karvonen, J.: Incidence angle dependence of first-year
sea ice backscattering coefficient in Sentinel-1 SAR imagery over the Kara
Sea, IEEE T. Geosci. Remote, 55, 6170–6181,
<a href="https://doi.org/10.1109/TGRS.2017.2721981" target="_blank">https://doi.org/10.1109/TGRS.2017.2721981</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Mäkynen, M. P., Manninen, A. T., Simila, M. H., Karvonen, J. A., and
Hallikainen, M. T.: Incidence angle dependence of the statistical properties
of C-band HH-polarization backscattering signatures of the Baltic Sea ice,
IEEE T. Geosci. Remote, 40, 2593–2605, <a href="https://doi.org/10.1109/TGRS.2002.806991" target="_blank">https://doi.org/10.1109/TGRS.2002.806991</a>,
2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Miranda, N.: S-1 constellation product performance status, SeaSAR 2018,
Frascati, Italy, 7–10 May 2018, available at:
<a href="http://seasar2018.esa.int/files/presentation216.pdf" target="_blank"/> (last access: 18 August 2020), 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Ocean and Sea Ice Satellite Application Facilities: available at: <a href="http://osisaf.met.no/" target="_blank"/>, last access: 19 August 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Park, J.-W., Korosov, A. A., Babiker, M., Sandven, S., and Won, J.-S.:
Efficient thermal noise removal for Sentinel-1 TOPSAR cross-polarization
channel, IEEE T. Geosci. Remote, 56, 1555–1565,
<a href="https://doi.org/10.1109/TGRS.2017.2765248" target="_blank">https://doi.org/10.1109/TGRS.2017.2765248</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Park, J.-W., Won, J.-S., Korosov, A. A., Babiker, M., and Miranda, N.:
Textural noise correction for Sentinel-1 TOPSAR cross-polarization channel
images, IEEE T. Geosci. Remote, 57, 4040–4049,
<a href="https://doi.org/10.1109/TGRS.2018.2889381" target="_blank">https://doi.org/10.1109/TGRS.2018.2889381</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Partington, K., Flynn, T., Lamb, D., Bertoia, C., and Dedrick, K: Late
twentieth century Northern Hemisphere sea-ice record from the U.S. National
Ice Center ice charts, J. Geophys. Res., 108, 3343, <a href="https://doi.org/10.1029/2002JC001623" target="_blank">https://doi.org/10.1029/2002JC001623</a>,
2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Pastusiak, T.: Accuracy of sea ice data from remote sensing methods, its
impact on safe speed determination and planning of voyage in ice-covered
areas, International Journal on Marine Navigation and Safety of Sea
Transportation, 10, 229–248, <a href="https://doi.org/10.12716/1001.10.02.06" target="_blank">https://doi.org/10.12716/1001.10.02.06</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel,
O., Blondel, M., Prettenhofer, P., Weiss, R., Dubourg, V., Vanderplas, J.,
Passos, A., Cournapeau, D., Brucher, M., Perrot, M., and Duchesnay, E.:
Scikit-learn: Machine learning in Python, J. Mach. Learn. Res., 12,
2825–2830, <a href="https://doi.org/10.1016/j.patcog.2011.04.006" target="_blank">https://doi.org/10.1016/j.patcog.2011.04.006</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Ressel, R., Frost, A., and Lehner, S.: A neural network-based classification
for sea ice types on X-band SAR images, IEEE J. Sel. Top. Appl., 8,
3672–3680, <a href="https://doi.org/10.1109/JSTARS.2015.2436993" target="_blank">https://doi.org/10.1109/JSTARS.2015.2436993</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Richards, F. J.: A flexible growth function for empirical use, J. Exp. Bot.,
10, 290–300, <a href="https://doi.org/10.1093/jxb/10.2.290" target="_blank">https://doi.org/10.1093/jxb/10.2.290</a>, 1959.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Scharien, R. K., Landy, J., and Barber, D. G.: First-year sea ice melt pond
fraction estimation from dual-polarisation C-band SAR – Part 1: In situ
observations, The Cryosphere, 8, 2147–2162, <a href="https://doi.org/10.5194/tc-8-2147-2014" target="_blank">https://doi.org/10.5194/tc-8-2147-2014</a>, 2014
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Scheuchl, B., Flett, D., Caves, R., and Cumming, I.: Potential of RADARSAT-2
data for operational sea ice monitoring, Can. J. Remote Sens., 30,
448–471, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Shokr, M. E.: Evaluation of second-order texture parameters for sea ice
classification from radar images, J. Geophys. Res.-Ocean., 96,
10625–10640, 1991.

</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Smedsrud, L. H., Halvorsen, M. H., Stroeve, J. C., Zhang, R., and Kloster,
K.: Fram Strait sea ice export variability and September Arctic sea ice
extent over the last 80 years, The Cryosphere, 11, 65–79,
<a href="https://doi.org/10.5194/tc-11-65-2017" target="_blank">https://doi.org/10.5194/tc-11-65-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Soh, L.-K. and Tsatsoulis, C.: Texture analysis of SAR sea ice imagery using
gray level co-occurrence matrices, IEEE T. Geosci. Remote, 37, 780–795,
<a href="https://doi.org/10.1109/36.752194" target="_blank">https://doi.org/10.1109/36.752194</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
U.S. National Ice Center: available at: <a href="https://www.natice.noaa.gov/" target="_blank"/>, last access: 19 August 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Wang, L., Scott, K. A., and Clausi, D. A.: Sea ice concentration estimation
during freeze-up from SAR imagery using a convolutional neural network,
Remote Sens.-Basel, 9, 408, <a href="https://doi.org/10.3390/rs9050408" target="_blank">https://doi.org/10.3390/rs9050408</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
WMO (World Meteorological Organization): Sea-ice information services in the
world, WMO-No. 574, World Meteorological Organization, Geneva, Switzerland,
2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Zakhvatkina, N. Y., Alexandrov, V. Y., Johannessen, O. M., Sandven, S., and
Frolov, I. Y.: Classification of sea ice types in ENVISAT synthetic aperture
radar images, IEEE T. Geosci. Remote, 51, 2587–2600,
<a href="https://doi.org/10.1109/TGRS.2012.2212445" target="_blank">https://doi.org/10.1109/TGRS.2012.2212445</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Zakhvatkina, N., Korosov, A., Muckenhuber, S., Sandven, S., and Babiker, M.:
Operational algorithm for ice-water classification on dual-polarized
RADARSAT-2 images, The Cryosphere, 11, 33–46, <a href="https://doi.org/10.5194/tc-11-33-2017" target="_blank">https://doi.org/10.5194/tc-11-33-2017</a>,
2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Zakhvatkina, N., Smirnov, V., and Bychkova, I.: Satellite SAR data-based sea
ice classification: An overview, Geosci. J., 9, 152, <a href="https://doi.org/10.3390/geosciences9040152" target="_blank">https://doi.org/10.3390/geosciences9040152</a>, 2019.
</mixed-citation></ref-html>--></article>
