<?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" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/tc-12-867-2018</article-id><title-group><article-title>Using SAR satellite data time series for regional glacier mapping</article-title>
      </title-group><?xmltex \runningtitle{Using SAR satellite data time series for regional glacier mapping}?><?xmltex \runningauthor{S.~H.~Winsvold et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Winsvold</surname><given-names>Solveig H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kääb</surname><given-names>Andreas</given-names></name>
          <email>a.m.kaab@geo.uio.no</email>
        <ext-link>https://orcid.org/0000-0002-6017-6564</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Nuth</surname><given-names>Christopher</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1063-2832</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Andreassen</surname><given-names>Liss M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6494-4252</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>van Pelt</surname><given-names>Ward J. J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4839-7900</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schellenberger</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2501-3700</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geosciences, University of Oslo, P.O. Box 1047
Blindern, 0316 Oslo, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Section for Glaciers, Ice and Snow, Hydrology Department, Norwegian
Water Resources and Energy Directorate,<?xmltex \hack{\break}?> P.O. Box 5091 Majorstua, 0301 Oslo,
Norway</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth Sciences, Uppsala University, Villav. 16, 752
36 Uppsala, Sweden</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andreas Kääb (a.m.kaab@geo.uio.no)</corresp></author-notes><pub-date><day>9</day><month>March</month><year>2018</year></pub-date>
      
      <volume>12</volume>
      <issue>3</issue>
      <fpage>867</fpage><lpage>890</lpage>
      <history>
        <date date-type="received"><day>7</day><month>July</month><year>2017</year></date>
           <date date-type="rev-request"><day>7</day><month>August</month><year>2017</year></date>
           <date date-type="rev-recd"><day>20</day><month>December</month><year>2017</year></date>
           <date date-type="accepted"><day>12</day><month>January</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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>
    <p id="d1e139">With dense SAR satellite data
time series it is possible to map surface and subsurface glacier properties
that vary in time. On Sentinel-1A and RADARSAT-2 backscatter time series
images over mainland Norway and Svalbard, we outline how to map glaciers
using descriptive methods. We present five application scenarios. The
first shows potential for tracking transient snow lines with SAR backscatter
time series and correlates with both optical satellite images (Sentinel-2A
and Landsat 8) and equilibrium line altitudes derived from in situ surface
mass balance data. In the second application scenario, time series
representation of glacier facies corresponding to SAR glacier zones shows
potential for a more accurate delineation of the zones and how they change in
time. The third application scenario investigates the firn evolution using
dense SAR backscatter time series together with a coupled energy balance and
multilayer firn model. We find strong correlation between backscatter
signals with both the modeled firn air content and modeled wetness in the
firn. In the fourth application scenario, we highlight how winter rain events
can be detected in SAR time series, revealing important information about the
area extent of internal accumulation. In the last application scenario,
averaged summer SAR images were found to have potential in assisting the
process of mapping glaciers outlines, especially in the presence of seasonal
snow. Altogether we present examples of how to map glaciers and to further
understand glaciological processes using the existing and future massive
amount of multi-sensor time series data.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e149">Glacier change is an important measure of the climate (Vaughan et al., 2013),
and glaciers are therefore considered an essential climate variable (GCOS,
2003). Equable baseline datasets are fundamental for parametrization of
models and in change analysis (e.g., Fontana et al., 2010; Winsvold et al.,
2014; Huss and Hock, 2015) and are essential to better understanding the state
of glaciers, especially in regions with scarce in situ observations.</p>
      <p id="d1e152">Optical and synthetic aperture radar (SAR) satellite systems for Earth
observation have different advantages and disadvantages for glacier
observation. Many of the measured variables included in glacier change
studies are often mapped using optical imagery (e.g., Racoviteanu et al.,
2009). However, the amount of images is limited in mountain, maritime and
high-latitude regions due to cloud cover and the polar night. SAR instruments, in contrast, are largely insensitive to weather and, as active
instruments, operate independent of solar radiation penetrating clouds.
Using SAR and optical imagery in combination should be of high value for
understanding processes and  adding information for further advances in
glacier remote sensing applications (Kääb et al., 2014).</p>
      <p id="d1e155">Glacier mapping is not limited to the detection of glacier outlines but
involves any observation of glacial features and characteristics using
remote sensing sources. New methods to map glaciers are needed in view of
the higher revisit times of free and open-access SAR (Sentinel-1A and B)
and optical (imagery from Landsat 8,  Sentinel-2A and B) satellite sensors (Torres et al.,
2012; Drusch et al., 2012; Roy et al., 2014). Together, these satellite
sensors will enable new multi-sensor time series applications for mapping
glaciers. In this work, we present continuous time series of Sentinel-1A SAR
data (12-day repeat cycle) covering glaciers in Svalbard and mainland
Norway. Since autumn 2016 two SAR sensors have been in orbit (Sentinel-1A and
B), providing dense temporal sampling availability (6-day repeat).</p>
      <p id="d1e158">Backscatter time series can detect changes in snow and ice conditions, which
are related to the amount and variation of ice, air and water in the measured
target (e.g., Forster et al., 1996). The received signals at the sensor
reflect multiple scattering events dependent on  SAR instrument
frequencies, polarization and imaging geometry, as well as physical
characteristics and dielectric properties of snow and ice (e.g.,
roughness, water content, grain size, temperature and impurities. Shi and
Dozier, 1995; Lillesand et al., 2004; Woodhouse, 2006). Backscatter signals
show not only surface reflectivity but also signals from below the
surface (volume scattering), allowing for differentiation between SAR glacier
zones (e.g., Fahnestock et al., 1993; Rau et al., 2000). Studies since the
1980s have been used to investigate snow and ice, particularly using
summer SAR images for exploring and tracking transient snow lines (TSLs)
(Rott, 1984; Hall et al., 2000; Rees et al., 1995; Casey and Kelly, 2010;
Callegari et al., 2016). Synergistic use of SAR and optical satellite imagery
for mapping snow and ice has been evolving since the 1990s (Rott and Strobl,
1992; Rott, 1994; Shi et al., 1994;
Sephton et al., 1995). However, the  use of dense continuous Sentinel-1A and B SAR backscatter
time series  has not been explored in this context.</p>
      <p id="d1e162">In this paper, we present five application scenarios describing new potential
for mapping glaciers with dense high-resolution SAR satellite image
time series based on robust methods. The chronological order of the imagery,
or calculated stack statistics of individual pixels or points (Winsvold et
al., 2016), has been analyzed. (1) In the first application scenario, we have
tracked the TSLs using SAR time series data, and we
describe the possible connection between TSLs from combined SAR–optical
time series and equilibrium line altitudes (ELA) from in situ surface mass
balance (SMB) measurements. (2) Second, we show the stability of winter backscatter
values and the potential of observing glacier facies from 2009 to 2016 using
both Sentinel-1A and RADARSAT-2 SAR-data. (3) Third, SAR time series of
surface and subsurface observations have been compared with a SMB and firn evolution model (Van Pelt and Kohler, 2015) using glacier
centerlines profiles. (4) Fourth, we show the potential to map winter rain
events over glaciers using high temporal resolution SAR backscatter data.
(5) Fifth, we have investigated patterns in summer SAR backscatter signals
on- and off-glacier and their potential in glacier outline mapping. For each
individual application scenario, a brief introduction, background and method
part is given, and results are presented and discussed.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study areas</title>
      <p id="d1e171">In this paper, we have studied two glaciers near Ny-Ålesund on Svalbard
(78.8<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 12.7<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and five glaciers in southern Norway
(61–62<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 7–8.6<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; Fig. 1 and Table 1). Annual mean
temperature for Ny-Ålesund is <inline-formula><mml:math id="M5" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.7 <inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and mean winter and
summer temperatures are <inline-formula><mml:math id="M7" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.9 and 3.7 <inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively (normal
period 1971–2000; Isaksen et al., 2016). Glaciers on Svalbard are maritime
and often have a superimposed ice zone (Hagen et al., 2003). Superimposed ice
forms from meltwater or rain that refreezes at the surface of the ice (Cogley
et al., 2011). Kongsvegen (108 km<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> surged in 1948 (Melvold and Hagen,
1998) and is currently in its quiescent phase with low flow velocities (Nuth
et al., 2012). Kronebreen, the lower part of Holtedahlfonna
(together 295 km<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, is a fast-flowing tidewater glacier with maximum ice
velocity of 3.2 m d<inline-formula><mml:math id="M11" 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 calving front (Schellenberger et al.,
2015).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e282">Basic glacier information from Nuth et al. (2013) and Andreassen et
al. (2012).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.9}[.9]?><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left" 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"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry namest="col3" nameend="col4" align="center" colsep="1">Glacier IDs </oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry namest="col7" nameend="col9" align="center">Centerlines </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Region</oasis:entry>  
         <oasis:entry colname="col2">Glacier name</oasis:entry>  
         <oasis:entry colname="col3">Local</oasis:entry>  
         <oasis:entry colname="col4">GLIMS</oasis:entry>  
         <oasis:entry colname="col5">Area (km<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col6">Aspect</oasis:entry>  
         <oasis:entry colname="col7">Length (km)</oasis:entry>  
         <oasis:entry colname="col8">Min. elev (m)</oasis:entry>  
         <oasis:entry colname="col9">Max. elev (m)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Svalbard</oasis:entry>  
         <oasis:entry colname="col2">Kongsvegen</oasis:entry>  
         <oasis:entry colname="col3">15510.1</oasis:entry>  
         <oasis:entry colname="col4">G013044E78792N</oasis:entry>  
         <oasis:entry colname="col5">108</oasis:entry>  
         <oasis:entry colname="col6">Northwest</oasis:entry>  
         <oasis:entry colname="col7">26</oasis:entry>  
         <oasis:entry colname="col8">0</oasis:entry>  
         <oasis:entry colname="col9">740</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Holtedahlfonna</oasis:entry>  
         <oasis:entry colname="col3">15511.2</oasis:entry>  
         <oasis:entry colname="col4">G013542E78988N</oasis:entry>  
         <oasis:entry colname="col5">295</oasis:entry>  
         <oasis:entry colname="col6">Southwest</oasis:entry>  
         <oasis:entry colname="col7">47</oasis:entry>  
         <oasis:entry colname="col8">0</oasis:entry>  
         <oasis:entry colname="col9">1155</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mainland  Norway</oasis:entry>  
         <oasis:entry colname="col2">Nigardsbreen</oasis:entry>  
         <oasis:entry colname="col3">2297</oasis:entry>  
         <oasis:entry colname="col4">G007099E61715N</oasis:entry>  
         <oasis:entry colname="col5">42</oasis:entry>  
         <oasis:entry colname="col6">Southeast</oasis:entry>  
         <oasis:entry colname="col7">10.5</oasis:entry>  
         <oasis:entry colname="col8">345</oasis:entry>  
         <oasis:entry colname="col9">1946</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Austdalsbreen</oasis:entry>  
         <oasis:entry colname="col3">2478</oasis:entry>  
         <oasis:entry colname="col4">G007335E61826N</oasis:entry>  
         <oasis:entry colname="col5">10</oasis:entry>  
         <oasis:entry colname="col6">Southeast</oasis:entry>  
         <oasis:entry colname="col7">6</oasis:entry>  
         <oasis:entry colname="col8">1222</oasis:entry>  
         <oasis:entry colname="col9">1755</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Hellstugubreen</oasis:entry>  
         <oasis:entry colname="col3">2768</oasis:entry>  
         <oasis:entry colname="col4">G008441E61556N</oasis:entry>  
         <oasis:entry colname="col5">3</oasis:entry>  
         <oasis:entry colname="col6">Northeast</oasis:entry>  
         <oasis:entry colname="col7">3.4</oasis:entry>  
         <oasis:entry colname="col8">1494</oasis:entry>  
         <oasis:entry colname="col9">2212</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Storbreen</oasis:entry>  
         <oasis:entry colname="col3">2636</oasis:entry>  
         <oasis:entry colname="col4">G008132E61573N</oasis:entry>  
         <oasis:entry colname="col5">5</oasis:entry>  
         <oasis:entry colname="col6">Northeast</oasis:entry>  
         <oasis:entry colname="col7">2.8</oasis:entry>  
         <oasis:entry colname="col8">1398</oasis:entry>  
         <oasis:entry colname="col9">2079</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Gråsubreen</oasis:entry>  
         <oasis:entry colname="col3">2743</oasis:entry>  
         <oasis:entry colname="col4">G008600E61657N</oasis:entry>  
         <oasis:entry colname="col5">2</oasis:entry>  
         <oasis:entry colname="col6">Northeast</oasis:entry>  
         <oasis:entry colname="col7">3</oasis:entry>  
         <oasis:entry colname="col8">1860</oasis:entry>  
         <oasis:entry colname="col9">2399</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e587">In southern Norway, the five studied glaciers form a maritime–continental
transect and represent diverse glacier characteristics. Nigardsbreen (42 km<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and Austdalsbreen (10 km<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are outlet glaciers from the ice
cap Jostedalsbreen. Storbreen (5 km<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, Hellstugubreen (3 km<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
Gråsubreen (2 km<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are smaller valley glaciers located in the high
mountain area of Jotunheimen. Due to the elevation and more eastward
location, these glaciers are more continental than Nigardsbreen and
Austdalsbreen. For Norwegian glaciers, the superimposed ice zone is usually
absent, even though it may be present on some glaciers (e.g., Brown et al.,
2005). The glaciers in mainland Norway all have SMB
programs measured by the Norwegian Water Resources and Energy Directorate
(Kjøllmoen et al.,  2017).</p>
</sec>
<sec id="Ch1.S3">
  <title>Satellite data</title>
      <p id="d1e656">Time series from two SAR sensor types were used
in this study, namely Sentinel-1A and B (Interferometric Wide swath mode,
IW) and RADARSAT-2 (Wide, Wide Fine and ScanSAR-Wide modes) (Table 2). Both
SAR sensor types acquire in C-band (center frequency of 5.405 GHz and
wavelength of 5.5 cm), and images are single polarized SAR data (HH for
Svalbard and VV for mainland Norway). Sentinel-1A and B orbits for mainland
Norway and Sentinel-1A for Svalbard are ascending and right looking. Some data gaps exist
due to missing images in the download archive (Sentinel-1A) or due to
limitations of the data quota and priority (RADARSAT-2).</p>
      <p id="d1e659">Sentinel-1A and B IW GRD images have a swath of 250 km and a grid spacing of
10 m, while RADARSAT-2 Wide Fine mode has a 150 km swath and a grid spacing
of 8 m. For improved interpretation of a specific 8-day period (in Sect. 5.4)
we have also explored RADARSAT-2 ScanSAR Wide mode data of 500 km swath with
a grid spacing of 100 m. The images were acquired from different incidence
angles and either ascending or descending paths.</p>
      <p id="d1e662">Optical satellite data have been included for validation purposes, though
with lower temporal resolution mostly due to extended cloud cover in the
maritime study regions. Medium-resolution optical satellite imagery, Landsat
8 OLI (level 1 terrain) and Sentinel-2 MSI (level 1C), was available
with radiometrical corrected and orthorectified products (Dursch et al.,
2012; Roy et al., 2014). These were used for comparison with SAR imagery in
the snow line tracking application from Hellstugubreen and Kongsvegen (Sect. 5.1
and Table A2). High mountain areas in mainland Norway are often highly
affected by cloud cover, and only six images were usable for comparison
with SAR (three in 2015 and three in 2016). For Kongsvegen on Svalbard, nine
optical images were used (five in 2015 and four in 2016). The dates of the
optical imagery correlated with the SAR acquisitions by <inline-formula><mml:math id="M18" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 days, with
two exceptions having a 6-day gap (Table A2). In addition, a Landsat 8 image
from 11 September 2015, corresponding to day of year (DOY) 254, was used in
the glacier outline mapping (Sect. 5.5).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e674">Study area in Svalbard (local IDs: 15511.2 is Holtedahlfonna and
15510.1 is Kongsvegen) and southern Norway (local IDs:
2478 is Austdalsbreen, 2297 is Nigardsbreen, 2636 is Storbreen,
2768 is Hellstugubreen and 2743 is Gråsubreen) (Glacier outlines
from Nuth et al., 2013; Andreassen et al., 2008; Paul et al., 2011).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f01.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>Additional data</title>
      <p id="d1e689">Interpretation of SAR backscatter images for glacier mapping purposes can be
challenging since several factors and processes on and within the subsurface
affect the phase and magnitude of the SAR signals. The snow, firn and ice are
dependent on external and surface conditions and can result in similar
backscatter values. Therefore, additional data, or comparison datasets, were
used to check the quality and reliability of the SAR time series.
Meteorological data, temperature and precipitation, were downloaded from the
Norwegian Meteorological Institute (eKlima.no, 2016) for the Ny-Ålesund
meteorological station (Svalbard) and Juvvasshøe meteorological station
(mainland Norway) (Figs. A1 and A2). Both stations are located close to the
three glaciers used for detailed analysis of the backscatter time series,
namely Hellstugubreen (within <inline-formula><mml:math id="M19" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12 km and station is located
1894 m a.s.l.), Kongsvegen and Holtedahlfonna (within <inline-formula><mml:math id="M20" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 km
and station is located 8 m a.s.l.). We have used existing glacier outlines
from both Svalbard (Nuth et al., 2013) and mainland Norway (Andreassen et
al., 2008; Paul et al., 2011) as verification and in support of the analysis.
Updated glacier outlines for the Norwegian glaciers are available (Andreassen
et al., 2016). The discrepancies between new and old outlines are minor and do
not influence the results presented in this paper.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" orientation="landscape"><caption><p id="d1e709">Overview of Sentinel-1A and B and RADARSAT-2 data. <inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>
RADARSAT-2 images are in Wide (2009–2013) and Wide Fine (2014–2015). The
ScanSAR Wide mode is not listed here, as only five images within 8 days were
used as ancillary data. <inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> GRD: ground-range-detected images have
been detected, multi-looked and projected to ground range coordinates using
an ellipsoid (WGS84). <inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Sentinel-1B images were available in
mainland Norway since 3 October 2016 (DOY 277). Some Sentinel-1A
acquisitions were not possible to retrieve from the Sentinels Scientific
Data Hub and have caused acquisition gaps in the time series. For RADARSAT-2
the time gaps are due to limitations of the data quota and priority.
(Abbreviations: <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is incident angle, Pol. is polarization,
Temp.res. is temporal resolution, Rel. path is the relative path, and Data prod. is data
product.)</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="14">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="left"/>
     <oasis:colspec colnum="12" colname="col12" align="left"/>
     <oasis:colspec colnum="13" colname="col13" align="left"/>
     <oasis:colspec colnum="14" colname="col14" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col7" align="center" colsep="1">RADARSAT-2<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col8" nameend="col14" align="center">Sentinel-1A and B </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Glacier region</oasis:entry>  
         <oasis:entry colname="col2">No.</oasis:entry>  
         <oasis:entry colname="col3">Pol.</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">Start date</oasis:entry>  
         <oasis:entry colname="col6">End date</oasis:entry>  
         <oasis:entry colname="col7">Temp. res.</oasis:entry>  
         <oasis:entry colname="col8">No.</oasis:entry>  
         <oasis:entry colname="col9">Pol.</oasis:entry>  
         <oasis:entry colname="col10">Rel. path</oasis:entry>  
         <oasis:entry colname="col11">Start date</oasis:entry>  
         <oasis:entry colname="col12">End date</oasis:entry>  
         <oasis:entry colname="col13">Data prod<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col14">Temp. res.<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Svalbard</oasis:entry>  
         <oasis:entry colname="col2">63</oasis:entry>  
         <oasis:entry colname="col3">HH</oasis:entry>  
         <oasis:entry colname="col4">37.8<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">8 Feb 2009</oasis:entry>  
         <oasis:entry colname="col6">17 Dec 2015</oasis:entry>  
         <oasis:entry colname="col7">24 days</oasis:entry>  
         <oasis:entry colname="col8">37</oasis:entry>  
         <oasis:entry colname="col9">HH</oasis:entry>  
         <oasis:entry colname="col10">14</oasis:entry>  
         <oasis:entry colname="col11">22 Jan 2015</oasis:entry>  
         <oasis:entry colname="col12">13 Sep 2016</oasis:entry>  
         <oasis:entry colname="col13">GRD</oasis:entry>  
         <oasis:entry colname="col14">12 days</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mainland  Norway</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">51</oasis:entry>  
         <oasis:entry colname="col9">VV</oasis:entry>  
         <oasis:entry colname="col10">44</oasis:entry>  
         <oasis:entry colname="col11">20 Oct 2014</oasis:entry>  
         <oasis:entry colname="col12">15 Oct 2016</oasis:entry>  
         <oasis:entry colname="col13">GRD</oasis:entry>  
         <oasis:entry colname="col14">12 days (6 days)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e986">A heat plot of Sentinel-1A backscatter (dB) time series from
22 January 2015 to 13 September 2016 (DOY 22 2015 to 257 2016), along a
profile on Kongsvegen, Svalbard. It is 12 days between each Sentinel-1
acquisition. The numbers represent 11 possible glacier mapping variables that
can be detected from the SAR time series: (1) onset of cold season;
(2) freeze-up and evolution of the firn area as the winter cold wave
penetrates the snow and firn; (3) winter rain event; (4) change of surface
properties after winter rain event; (5) glacier facies, separated by firn
line altitude (FLA) and superimposed ice altitude (SIA)
(SI is superimposed ice); (6) onset of melt season; (7) transient snow
lines (TSL); (8) end of summer snow line (EOSS); an estimation of the
equilibrium line altitude (ELA); (9) length of melt season; (10) surface
dry-to-wet snow line; and (11) glacier outline or calving front. The two sketches
above the heat plot represent the SAR glacier zones in the cold season (winter with
dry and cold conditions; snowpack is transparent due to high volume
scattering) and in the melt season (summer with warm and wet conditions),
together representing a full mass balance year. (Illustration insets above
the heat plot are modified based on de Ruyter de Wildt et al., 2002.)</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Processing of SAR imagery</title>
      <p id="d1e1002">Sentinel-1A and B time series were processed and geocoded using the open-source software SNAP (Sentinel-1 toolbox) distributed by ESA (ESA, 2016),
and RADARSAT-2 Wide and Wide Fine images were processed and geocoded using
the GAMMA remote sensing software (Werner et al., 2000). The Sentinel-1A and
B GRD images were in slant range coordinates projected to an ellipsoid, and
RADARSAT-2 single look complex images were in radar geometry. The
Sentinel-1 images in SNAP were converted to radiometrically calibrated
backscatter in sigma nought (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and then filtered using a
<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>
median speckle filter. Furthermore, we applied backscatter terrain
correction using a digital elevation model (DEM) and converted linear
backscatter values to decibels (dB). The radar backscatter coefficient
<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">dB</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is hereafter referred to as backscatter. To examine
the backscatter results produced in SNAP, we tested the difference between
GAMMA and SNAP processed Sentinel-1A GRD images for two winter dates over
the glaciers of interest. In GAMMA, the radiometric calibration corrects for
two effects: (1) the varying incidence angle on the returned backscatter and
(2) the differing pixel illumination that depends upon the incidence angles
(resulting in gamma nought, <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">γ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. A
speckle filter was not applied on the Sentinel-1 and RADARSAT-2 images in
GAMMA. However, a multi-look algorithm was applied to reduce noise using
spatial averaging. In northwestern Svalbard, we used an improved ASTER GDEM
(60 m) (Nuth et al., 2013) for geocoding in both software solutions. For
scenes covering mainland Norway the SAR images were geocoded using the
national 20 m DEM from the Norwegian Mapping Authority (Kartverket, 2016).
In mainland Norway and Svalbard, the difference between SNAP and GAMMA
processing resulted in a mean bias of 2.7  and 2.4 dB, respectively. We
suspect that the bias is a result of the lack of correction in the varying
pixel area with incidence angle within the SNAP processing (CCRS, 2002;
GAMMA, 2009; step forum, 2016). This correction is normally not needed when
the radar backscatter coefficient from one sensor type is analyzed (e.g.,
Sentinel-1A and B). In addition, the Sentinel-1A scene over northwestern
Svalbard was also processed using a higher-resolution IDEM based on TanDEM-X
data. The use of an outdated, coarser DEM (ASTER GDEM) resulted in very
little difference  compared to using a more updated and higher-resolution
DEM (IDEM from TanDEM-X) over the glacier surfaces. This was as expected
given the low slope nature of most glacier surfaces in Svalbard. In addition
to the fact that we use repeat paths for the time series of images, the
ASTER GDEM is shown to be more than sufficient for terrain correction.
Generally, geometric distortions due to layover, foreshortening and
shadowing effects will degrade the SAR images in certain regions, especially
in slopes facing towards the satellite sensor (Woodhouse, 2006).</p>
      <p id="d1e1060">We assessed combinations of optical and SAR data to analyze image
time series using (1) chronological gap fill, i.e using SAR data to
supplement optical time series that suffer from heavy cloud cover or missing
data due to the dark season, and (2) stack statistics, in which, for a certain time period,
SAR pixels are merged by calculating statistics of the time stack of
co-registered pixels (e.g., mean) (Winsvold et al., 2016). A sufficient
geocoding and co-registration ensures that the pixels can be compared in
time.</p>
      <p id="d1e1063">A dense satellite image time series provides the opportunity to recover a
large statistical sample of backscatter values. Heat plots were used for
visual inspection of the temporal signature of the glaciers: along the
centerline, profile points were selected every 300 m for the Svalbard
glaciers (Fig. 2) and by calculating the mean backscatter value in elevation zones of
25 m. The latter was applied on the study glaciers in mainland Norway (Fig. 3a). Backscattering
intensity values are normally very noisy, and the data from the profiles
were smoothed using the mean of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> pixel values (30 m pixel size).
Representing SAR backscatter data in such a way, we present 11 different
mapping variables from the SAR time series illustrated by numbers on the
Kongsvegen profile in Fig. 2.</p>
</sec>
<sec id="Ch1.S5">
  <title>Application scenarios</title>
      <p id="d1e1085">In this section we present application scenarios using SAR time series dataset for glacier mapping and
discuss the results.</p>
<sec id="Ch1.S5.SS1">
  <title>Seasonal melt patterns</title>
      <p id="d1e1093">The end of summer snow line (EOSS) is an approximation of the ELA (Østrem, 1975; Rabatel et al., 2013). In regions
with a significant superimposed ice zone, the EOSS will often be above the
ELA (Cogley et al., 2011).  It can also be lower than
the ELA in years when there was a low ELA in the previous year. In this application scenario, SAR backscatter data
from Kongsvegen were used to map glacier surface melt and to track TSLs on
Hellstugubreen in Norway (see Supplement). Optical satellite data, in situ observations of
EOSS and ELA derived from SMB measurements have been used
for validation. The EOSS can be used to reconstruct annual mass balance
series regionally due to the strong relationship between the EOSS and ELA
(e.g., Demuth and Pietroniro, 1999; Pelto, 2011). EOSS and TSLs have been used
to determine glacier mass balance using modeling assessments (e.g., Rabatel et
al., 2005; Huss et al., 2013; Hulth et al., 2013). The amount of usable
images for reconstruction of annual mass balance based on EOSS is more
predictable with SAR imagery compared to using optical satellite data due to
a reliable repeat passes of the Sentinel-1 satellites and transparent clouds.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1098"><bold>(a)</bold> Time series of Sentinel-1A and B backscatter images
where mean dB values have been calculated for elevation zones of 25 m
(<inline-formula><mml:math id="M35" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis). White lines indicate missing Sentinel-1A scenes. Grey lines
separate between years. The stripe of low backscatter data in the upper part
is due to areas in the radar shadow. Note: images from 3 to 15 October 2016 (DOY 277 to
289) are Sentinel-1B acquisitions with 6-day repeat time. <bold>(b)</bold> Elevation
of TSL from optical satellite imagery, corresponding to the numbers
in panel <bold>(a)</bold>. Sentinel-2A image is from 18 August 2015 (DOY 230), while the rest are Landsat
8 images. Green points and boxes are in situ EOSS derived from handheld
GPS. <bold>(c)</bold> Manually picked TSLs from optical and SAR images acquired
almost on the same day (Table A2). The maximum difference in acquisition
dates between sensors is <inline-formula><mml:math id="M36" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>6 days. <bold>(d)</bold> Plot of EOSS from SAR and
ELA from the surface mass balance (SMB) gradients and EOSS from field
observations (Pearson's correlation coefficient: 0.92, <inline-formula><mml:math id="M37" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value: 0.00015).
Abbreviations: A is Austdalsbreen,  S is Storbreen, H is Hellstugubreen, G is Gråsubreen and
N is Nigardsbreen.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f03.png"/>

        </fig>

      <p id="d1e1143">Wet snow absorbs most of the microwave signal, returning little energy back
to the sensor (Stiles and Ulaby, 1980). The roughness of snow or ice and
incidence angle of the SAR satellite sensor also affects the backscatter
signal strength (Shi and Dozier, 1995, Fig. 4). In both the Sentinel-1A and
RADARSAT-2 backscatter time series an abrupt seasonal change was found, from
warm and wet conditions in the end of the melt season to the onset of the
cold season with dry and cold conditions (corresponding to no.1 in Fig. 2).
These backscatter differences are present due to a change in weather
conditions between 26 August 2015 (DOY 238) and 7 September 2015 (DOY 250),
causing an increase of <inline-formula><mml:math id="M38" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 to <inline-formula><mml:math id="M40" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 dB (Fig. 2).
A temperature record from the closest weather station in Ny-Ålesund
(8 m a.s.l.) shows lower temperature in the period between the images,
indicating even colder temperatures on the glaciers since they are located on
higher elevation (Fig. A2). In addition, an optical image from 9 September 2015
(DOY 252) over Kongsvegen shows significant precipitation as snow (Table A2),
which also indicates conditions <inline-formula><mml:math id="M42" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on the
glacier. The snow line, where the onset of cold season starts, corresponds to
number 8 in Fig. 2, representing the EOSS. The onset of surface melt is
characterized by a rapid decrease in backscatter values (corresponding to no.
6 in Fig. 2; Stiles and Ulaby, 1980; Smith et al., 1997; Wolken et al.,
2009), most likely introduced by warm and wet weather conditions (Rotschky et
al., 2011). The lowest backscatter values in the ablation zone are found when
wet snow covers the glacier (corresponding to no. 9 and the blue
color in Fig. 2), which also reflects the length of the melt season. This has until now
been mostly studied using QuikSCAT data (a Ku-band sensor) with daily
temporal resolution, but low spatial resolution (e.g., Rotschky et al., 2011).
It is difficult to define the melt season accurately in time from RADARSAT-2
images due to the low repeat time of 24 days (Fig. 5). Sentinel-1 provides
6-day repeat time with two satellite sensors and can be used to study the
length of the melt season more accurately in terms of spatiotemporal
resolution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e1194">Photos illustrating roughness differences between ice or firn and
seasonal snow. The images of Hellstugubreen were acquired on 12 September 2016 (DOY 256), when the end of summer snow line can be observed, often
corresponding to the ELA (corresponding to no.8 in Fig. 2). Photos: Liss M.
Andreassen, NVE.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f04.png"/>

        </fig>

      <p id="d1e1203">The TSL migration up-glacier is often correlated with temperature rise and
topography (e.g., Hall et al., 2000; corresponding to no.7 in Fig. 2). It is
also possible to track the wetness in the snow up-glacier with the surface
dry-to-wet seasonal snow line (corresponding to no. 10 in Fig. 2), but here
we have focused on the TSL. During the melt season, seasonal snow melts away
exposing a rough ice or firn surface, thus creating a sharp contrast to the
smooth and wet snow. Based on similar observations by Hall et al. (2000),
we believe this can be observed from SAR backscatter due to
different roughness lengths between the two targets causing higher
scattering of the ice surface (Fig. 4). We have used this difference in
roughness to track the TSL within the melt season. When tracking the TSLs
within a melt season, the few optical images available can be gap-filled
with SAR data (Fig. 3a, b). TSLs from optical and SAR images acquired almost
on the same day were manually selected from the glaciers (Table A2).
Heat plots, a DEM, SAR backscatter and optical satellite images were used for
visual inspection of the TSL positions in the analysis (see also temperature
plot in Fig. A1). Using mean backscatter in elevation zones of 25 m gives a
location of the TSL representing the width of the glacier compared to using
a centerline representing one point on the glacier. The same visual
interpretation was used to retrieve the EOSS from SAR acquisitions on four
of the glaciers in 2015 and 2016 (Hellstugubreen, Storbreen, Nigardsbreen
and Austdalsbreen). On Gråsubreen we detected a melt regime which did
not correlate with elevation, as the snowmelt was first apparent in the
convex areas higher up on the glacier and not in the lower part where the
snow accumulates (most likely due to the local topography and wind
patterns). On such glaciers, satellite sensors other than Sentinel-1A and B
and their according dense time series are not able to reveal the same level
of temporal detail in melt patterns.</p>
      <p id="d1e1206">Strong correlation was found between TSLs from Sentinel-2 and Landsat 8
satellite images and TSLs from Sentinel-1 images (Fig. 3a, b, c). In the melt
season with warm and wet conditions, the backscatter signal after snow
events might be reduced on the glacier. They can cause, firstly, a smoother
surface compared to the underlying rougher ice surface and, secondly, high
absorption and forward scatter of the radar waves as the snow is wet (Rott,
1984). An example of this was when lower backscatter values were observed in
the ablation area of Hellstugubreen on 3 October 2016 (DOY
277), most likely due to wet snow lowering the roughness and absorbing
microwave energy (Fig. 3a). Snow was observed in an optical image on 6 October 2016
(DOY 280) on Hellstugubreen (not shown). In addition, another
example from Kongsvegen showed a snow event causing disagreement between the
Landsat 8 image and Sentinel-1 images (see outlier in Fig. 4c).
This snow event must have happened between the compared acquisition dates of the
optical and SAR satellite images  (i.e., between 7 and 9 September 2015,
DOY 250 to 252; Table A2).</p>
      <p id="d1e1209">The EOSS and ELA in Fig. 3d reflect the maritime–continental transect of
glaciers in southern Norway, as the most continental glaciers have the
highest ELA. EOSS positions from SAR backscatter data correlated well with
ELA calculated from the SMB curves that were derived from the in situ
measurements, in addition to direct in situ measurements of the EOSS (Fig. 3d). This indicates that EOSS derived from Sentinel-1A and B SAR data may be
used as input when reconstructing annual mass balance series. We believe
Austdalsbreen (A) is an outlier and that the signal we get in the Sentinel-1
image (<inline-formula><mml:math id="M44" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1500 m a.s.l.) is related to the firn line from the
previous year (ELA from SMB in 2015 was 1371 m a.s.l.), as little seasonal
snow was left in 2016 and ELA was “above” the glacier (ELA from SMB in
2016 was <inline-formula><mml:math id="M45" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1747). The maximum discrepancy between a field
observation and a SAR acquisition was 21 days (SAR acquisition 3 October 2016
(DOY 277) and in situ on 12 September 2016 (DOY 256) on Hellstugubreen)
(Fig. 3d).</p>
      <p id="d1e1226">In both study regions, we found a discrepancy between the datasets in that
the TSLs from SAR generally show a mean of 21 m lower altitude compared to
optically derived TSLs (not taking the outlier into consideration; Fig. 3c).
On Kongsvegen, as the snow line retreats up into the superimposed ice or firn
area, the roughness difference is less  compared with glacier ice, making
it more difficult to retrieve a correct TSL (Figs. 5 and 6a). The same
applies to optical satellite images as it is challenging to derive the TSL
when superimposed ice is present (e.g., Winther, 1993; Kundu and Chakraborty,
2015).</p>
      <p id="d1e1229">The glacier geometry, elevation, size, sun exposure and local snow
accumulation influence the melt pattern of seasonal snow on glaciers, and
thus the EOSS. If the glacier spans a small elevation range, the TSL could
be more difficult to trace and may be either above or below the
elevation range that the glacier covers. In addition, interaction between
snow lines and crevassed areas, especially in ice falls, can be a challenge
on larger glaciers (e.g., Chinn, 1995). Extracting TSLs and EOSS using SAR
backscatter data can be valuable for
<list list-type="order"><list-item>
      <p id="d1e1234">refining spatial variations in the melt pattern of well-studied glaciers
with already existing surface mass balance programs;</p></list-item><list-item>
      <p id="d1e1238">including many glaciers in the analysis, if the purpose is to derive the
TSL and EOSS from SAR imagery to reconstruct annual mass balance series
regionally and retrieve a statistical robust result;</p></list-item><list-item>
      <p id="d1e1242">using TSLs and EOSS for calibration and validation of mass balance
models (e.g., Hulth et al., 2013).</p></list-item></list>
<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Identifying glacier facies</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e1255">RADARSAT-2 time series of SAR backscatter values (dB) along a
centerline profile on Kongsvegen from 2009 to 2015. An abrupt change in the
start and end of melting season (e.g., in year 2012 and 2013) was observed.
The backscattering values are in decibel (dB).</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f05.png"/>

        </fig>

      <p id="d1e1264">SAR backscatter imagery can be used to identify distinct zones of consistent
backscatter that correspond to glacier facies (Fahnestock et al., 1993;
Brown et al., 1999; König et al., 2002; Jaenicke et al., 2006; Langley
et al., 2008). This is because the SAR backscatter is influenced by physical
properties of ice and snow, as well as weather conditions and surface texture
(e.g., Smith et al., 1997; Rau et al., 2000). Nonetheless, it is challenging
to directly connect glacier facies to SAR classified glacier zones, as
backscatter is a complex composite signal reflected from a surface volume,
the material properties of which often vary temporally with external
atmospheric forcings, e.g., with winter rain events (Sect. 5.5). Glacier facies are defined as properties on a glacier dividing one part of
the glacier from others, often connected to mass balance processes (i.e.,
ablation and accumulation area), and are synonymous with the
term glacier zones (Cogley et al., 2011). Here we use the term glacier
facies for snow and ice ground properties and the term SAR glacier zones
for the interpretations and classifications from SAR satellite imagery. SAR
glacier zones often have an annual frequency  but also vary seasonally as
backscatter changes from being sensitive to surface properties in the melt
season to volume properties in the cold season (Fig. 2). We define the
following SAR glacier zones (corresponding to no. 5 in Fig. 2): (1) percolation
zone (firn zone), (2) the superimposed ice (SI zone), (3) ice
zone and (4) wet-snow zone (e.g., Cuffey and Paterson, 2010). The firn and SI
zones are part of the accumulation area, and the ice zone is part of the
ablation area. The wet-snow zone represents wet snow and firn in the melt
season (Sect. 5.1), as well as rain events during the cold season (Sect. 5.5),
and occurs in both ablation and accumulation areas. Note that our definition
of the wet-snow zone differs from traditional definitions (e.g., Cogley et
al., 2011; Cuffey and Paterson, 2010), as ours is based upon a SAR
observational perspective.</p>
      <p id="d1e1267">In this application scenario, we present a time series of SAR glacier zones
from 2009 to 2016 including RADARSAT-2 (24-day repeat) and Sentinel-1A (12-day
repeat) images in northwest Svalbard. Previous studies have correlated
distinct glacier facies with SAR glacier zones on Kongsvegen (Engeset et
al., 2002; König et al., 2004; Brandt et al., 2008; Langley et al.,
2008), and these facies also correspond to previous interpretations in
literature (Benson, 1962; Rau et al., 2000; Cuffey and Paterson, 2010).
Dry-snow glacier facies is absent on both Kongsvegen and Holtedahlfonna as
melting occurs over the entire surface (Engeset et al., 2002; Langley et
al., 2007), which agrees with our interpretation of the SAR backscatter
time series (Fig. 2). The firn line does not vary much from year to year,
but several years of negative mass balance will eventually migrate the
firn line up-glacier, and vice versa with positive mass balance years (e.g.,
König et al., 2004; Brown, 2012). Wet snow typically has the lowest
backscatter values, followed by wet and dry ice (here, these show similar
values; Fig. 2), dry superimposed ice and dry snow and firn (Fahnestock et al.,
1993). A dry-snow pack has low dielectric contrast, and SAR microwaves are
volume scattered. In the firn area, ice lenses, pipes and layers act as
randomly oriented dielectric cylinders, responsible for the high scattering
of microwave signal back to the SAR sensor. We consider snow and firn to be
Rayleigh scatterers when the particle size is lower than 10 % of the
wavelength (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>.5 cm) or 0.55 cm and Mie scatterers up to 10
times the wavelength, or 55 cm (Woodhouse, 2006). The backscatter response
of superimposed ice is dependent on air bubble content and size, where a high
frequency of bubbles typically causes higher backscatter values (e.g.,
König et al., 2002; Langley et al., 2009). Thus, during the cold season,
the superimposed ice zone has typically lower backscatter compared to firn,
but higher than glacier ice (e.g., Langley et al., 2009). During the melt
season, high backscatter on ice surfaces is caused by surface roughness
rather than volume scattering (Shi and Dozier, 1995; Hall et al., 2000).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e1285">Observed backscatter and modeled values along the Kongsvegen
centerline profile. <bold>(a)</bold> Sentinel-1A backscatter (dB) time series
from 22 January 2015 to 13 September 2016 (DOY 22 2015 to 257 2016).
<bold>(b)</bold> Modeled firn air content in a vertical column of 2 m;
<bold>(c)</bold> Spearman correlation between the firn air content (in panel
<bold>b</bold>) and backscatter values (in panel <bold>a</bold>) along the centerline for
each Sentinel-1A acquisition time (each 300 m point). Significant
correlation values (after Bonferroni multiple testing correction) are shown
in red. Points on the black stippled line corresponds to missing data (white
areas in panel <bold>a</bold>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f06.png"/>

        </fig>

      <p id="d1e1313">Stabilization of the SAR glacier zones between years in the cold season
indicates a steady glacier facies area through time (Figs. 5 and 6a). In Fig. 2
we show three distinct SAR-zones on Kongsvegen in the cold season (7 September 2015
to 4 May 2016, DOY 250 to 125), located at elevation bins
0–500, 500–700  and 700–800 m. These SAR glacier zones mirror the glacier
facies, ice, and SI and firn area, respectively (Langley et al., 2009). Thus,
the RADARSAT-2 time series from 2009 to 2015 on Kongsvegen showed a relatively
stable firn line altitude and a superimposed ice altitude (SIA), even though
a retreat of SIA can be observed in 2011 and 2012 (Fig. 5). The winter SAR
images are useful for identifying the superimposed ice zone since with
optical satellite imagery it can be challenging to separate this zone from
the bare ice zone (e.g., Kundu and Chakraborty, 2015). Surface snow, lacking
large scatterers and dielectric contrasts, promotes low backscatter; glacier
ice below the surface snow cover promotes surface scattering at the snow–ice
interface and transmission within the ice volume. Together these scattering
processes result in lower backscatter intensity (light blue to yellow colors
in Fig. 6a) in the ablation area. We suggest that backscatter amplitude from
ice surfaces changes seasonally due to surface roughness variations, as
melting creates a rougher ice surface due to changes in local topography on
the ice surface, e.g., microwater evacuation streams (Shi and Dozier, 1995;
Hall et al., 2000) (Fig. 6a, see yellow to orange colors on ice in the melt
season compared to the light blue color in the cold season). According to
the modified Rayleigh criterion a surface is considered rough in the C-band
SAR (using an incidence angle of 38<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) when the root-mean-square (RMS)
surface height variation is more than 1.3 cm and considered a smooth
surface when the RMS height variation is less than 0.2 cm (Lillesand et al.,
2004).  Drying of meltwater channels does not cause the backscatter to be
higher in the cold season compared to the melt season because they cover
only a very small percentage of the SAR pixels; therefore we believe the
ablation effect (caused by melting and water on the ice surface) is
responsible for a rougher surface and higher backscatter.</p>
      <p id="d1e1325">SAR glacier zones are less clear on Holtedahlfonna compared with
Kongsvegen. Backscatter values are gradually increasing between 570 and
775 m, but no clear separation between zones was found (Fig. 7a). The lower
part of Holtedahlfonna, Kronebreen, had several stripes of high backscatter
(below 570 m in the heat plot in Fig. 7a), indicating highly crevassed areas
due to double-bounce scattering of the physical corner reflector (Woodhouse,
2016). Although such corner reflectors probably blurred the seasonal signal,
there was still seasonal variability with low backscatter values (blue
colors) in early spring 2016 (around 28 May, DOY 149), indicating the onset
of melt season (Fig. 7a).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e1330">The figures show results from Holtedahlfonna <bold>(a)</bold>
Sentinel-1A SAR backscatter (dB) time series from 22 January 2015 to 13
September 2016 (DOY 22 2015 to 257 2016). Black points indicate where the
backscatter stabilizes in the cold season. <bold>(b)</bold> Daily modeled water
content for each 300 m point along a centerline profile and the transition
depth (in meters) between wet snow and firn (water content <inline-formula><mml:math id="M48" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0) and dry snow and firn
(water content <inline-formula><mml:math id="M49" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0). The white regions in the plot indicate no water since
it is glacier ice with no snow in the summer or with dry-snow conditions in
the winter. Transition depth of 0 m indicates wet-snow conditions on the
surface. <bold>(c)</bold> Spearman correlation between depth of dry-to-wet
transition zone and backscatter values plotted with elevation (<inline-formula><mml:math id="M50" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) in
firn area above 775 m. We used a time period with stable conditions:
7 September 2015 to 22 April 2016 (DOY 250 2015 to 113 2016; black box in
panels <bold>a</bold> and <bold>b</bold>). Significant correlation values (after Bonferroni multiple
testing correction) are plotted in red. <bold>(d)</bold> Plot of backscatter
values (dB) vs. dry-to-wet transition depth (layer) for points in <bold>(c)</bold>
with <inline-formula><mml:math id="M51" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M52" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 (points under <inline-formula><mml:math id="M53" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 920 m, using the same time
period of 7 September 2015 to 22 April 2016, DOY 250 2015 to 113 2016). The
correlation coefficients are 0.266 (Pearson's correlation coefficient) and
0.3 (Spearman rho). <bold>(e)</bold> Plot of backscatter values (dB) vs.
dry-to-wet transition depth (layer) for points in <bold>(c)</bold> with
<inline-formula><mml:math id="M54" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M55" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05 (points above <inline-formula><mml:math id="M56" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 920 m, using the same time period
as in <bold>c</bold> and <bold>d</bold>). The correlation coefficients are 0.834
(Pearson's correlation coefficient) and 0.725 (Spearman rho).</p></caption>
          <?xmltex \igopts{width=395.493307pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f07.png"/>

        </fig>

      <p id="d1e1438">Previously, one satellite image was used when mapping SAR glacier zones from
SAR imagery. Here, we examined glacier zones on Kongsvegen and
Holtedahlfonna thoroughly through time, using consecutive and dense
time series of SAR imagery. This time series shows in particular that SAR
glacier zones vary through time representing the changing surface conditions
that ultimately control backscatter return. In this example, we show the
potential to detect and study changes in transient glacier facies. Here, a
stabilization of the SAR glacier zones in the cold season improves
certainty about the designation of glacier facies.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <title>Firn evolution and internal processes</title>
      <p id="d1e1447">For the first time, we present a comparison of Sentinel-1A backscatter
time series with results from a SMB and firn pack evolution
model. A coupled energy balance–multilayer firn model was used to
simulate the evolution of temperature, density and water content in snow and
firn. The model has previously been used to simulate the long-term
(1961–2012) mass balance and firn evolution of Kongsvegen and
Holtedahlfonna, as described in Van Pelt and Kohler (2015). For the
experiment in this paper the model is forced with weather station data from
the Ny-Ålesund weather station (provided by the Norwegian Meteorological
Institute), which provided time series at sea level for temperature,
precipitation, relative humidity, cloud cover and air pressure. Elevation
lapse rates for temperature and precipitation were optimized to remove
biases between modeled and observed seasonal mass balance. The precipitation
lapse rate was optimized against winter balance data, and the temperature
lapse rate was optimized against summer balance data. Lapse rates were
determined individually for Kongsvegen and Holtedahlfonna, which is mainly
relevant for precipitation, which is known to increase much faster with
elevation on Kongsvegen than on Holtedahlfonna (Nuth et al., 2012).
Validation of modeled subsurface density against shallow firn core
observations on Kongsvegen and Holtedahlfonna has been discussed in Van Pelt
and Kohler (2015), showing good agreement. There is no real validation for
subsurface temperature and water content for these glaciers. However, the model
performed well in simulating vertical temperatures at the top of
Lomonosovfonna, as shown in Van Pelt et al. (2014). Model output contains
daily depth-dependent fields with a 300 m horizontal spacing along
centerline profiles on the glaciers. The sub-surface grid contains a total
of 100 layers with layer thickness increasing with depth and ranging between
10 and 40 cm. Here, firn air content and the subsurface water content were
compared with the SAR backscatter time series. Firn air content (in meters)
represents the amount of empty pore space in a vertical column (in this
study we used a 2 m column). Since ice has zero pore space, the firn
air content is a measure of snow and firn depth and density (Fig. 6b). The
subsurface water content (kg m<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents irreducible water at a
specified depth. From the subsurface water content variable in the
snow and firn, we have calculated depth (in meter) of the transition between wet
(water content <inline-formula><mml:math id="M58" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0) and dry snow and firn (water content <inline-formula><mml:math id="M59" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0),
indicating which depth has a water content above zero (Fig. 7b). This result
was correlated with the SAR backscatter data.</p>
      <p id="d1e1479">In the start of the cold season, the ice surface was covered by seasonal
snow had low firn air content (e.g., at 7 September 2015, DOY 250 in Fig. 6b).
During the cold season the firn air content increased through time and
moving up-glacier, as fresh snow accumulated (e.g., at 23 April 2016, DOY 113
in Fig. 6b). We observed high backscatter values (Fig. 6a) when firn
air content was high (Fig. 6b), as the dry and cold conditions were found to
enhance volume scattering. For each Sentinel-1A acquisition, we found a
positive significant correlation between firn air content and backscatter in
the cold season and a negative significant correlation in the melt season
(Fig. 6c). To avoid assumptions of a linear relationship between firn
air content and backscatter, we used the nonparametric Spearman's rank
correlation coefficient. The reason for the negative correlation is the
change of surface properties affecting the backscatter signal, as the volume
scattering in the cold season is exchanged with the SAR sensitivity to wet
snow and higher surface roughness in the melt season. The point in Fig. 6c
on 1 September 2016 (DOY 245) showed no correlation, because it is located
in the transition zone between the melt season and cold season, where
multiple melt end freeze events happen within short time spans. The snow
line was identified in the modeled data (Fig. 6b) and in the
observed backscatter data (Sect. 5.1).</p>
      <p id="d1e1482">In the beginning of the cold season when the surface refreezes, backscatter
values are sensitive to subsurface melt in the snow and firn pack (Ashcraft
and Long, 2006; Rotschky et al., 2011). A spatiotemporal refreeze signal from
the Sentinel-1A time series was observed in the firn area of both Kongsvegen
and Holtedahlfonna (corresponding to no. 2 in Fig. 2). This was also observed
as a weaker signal in the RADARSAT-2 time series just after the melt season
each year (Figs. 5 and A3). Christianson et al. (2015) found a perennial firn
aquifer containing liquid water in the upper accumulation area on
Holtedahlfonna, and they argued that the firn aquifer had a depth below the
surface of approximately 3.5–15 m. We found stabilizing backscatter
intensity values in time during the winter period (Figs. 6a and 7a) and
speculate that C-band SAR backscatter data do not receive backscatter
responses from firn that deep as presented by Christianson et al. (2015). An
aquifer, or wet conditions in the firn, causes absorption, limiting
backscatter response from the depth of the firn volume (e.g., Ashcraft and
Long, 2006). In the firn zone of the glaciers (<inline-formula><mml:math id="M60" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 650 m on Kongsvegen and
<inline-formula><mml:math id="M61" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 775 m on Holtedahlfonna), we found a gradual increasing backscatter
signal during the cold season from 7 September to 12 December 2015 (DOY 250
to 346) (Figs. 6a and 7a, <inline-formula><mml:math id="M62" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 to <inline-formula><mml:math id="M64" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4 dB). This is most
likely due to multiple scattering events, from volume scattering in the snow
and firn, in addition to wetness in the firn that gradually refreezes due to
the winter cold wave. This can reflect stored and percolated water in the
firn from melt and rain events that refreeze over time, also releasing latent
heat and possibly slowing down the process. Backscatter eventually stabilized
(12 December 2015, DOY 346,
in Fig. 7a) and showed similar high values
throughout the rest of the cold season. The backscatter measured at the
sensor antenna is the sum of multiple scattering occurrences throughout the
firn volume. The penetration depth of radar waves varies over time and
contributes to the backscatter, and the backscatter intensity is therefore
not constant in time and represents the integral of depth through time.
Using the modeled data, we were able to explore the penetration of SAR
backscatter in snow and firn. It is likely that absorption with limited
volume scattering of radar waves in wet snow and firn can give an indication
of how deep the Sentinel-1A C-band SAR can penetrate due to a strong
sensitivity to wet conditions. Using the model results we were able to
estimate the depths of the intersection between the dry and wet zone in the
firn pack (Fig. 7b) and compare this to the backscatter data (Fig. 7c–e).
Results indicate increased penetration depths over time and then
stabilization once the transition exceeds a certain depth where the radar
waves do not reach it anymore. Similar trends between the transient modeled
dry-to-wet transition depth in the firn and the backscatter time series for
the uppermost part of the glacier were found (Fig. 7c). The deeper the
dry-to-wet transition zone, the higher the SAR backscatter values (Fig. 7e).
This correlation can thus be explained by a mix of volume scattering returns
and radar waves sensitivity to wet conditions in snow and firn through time
until January 2016.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e1530"><bold>(a)</bold> Sentinel-1A backscatter (dB) image from
24 December 2015 (DOY 358) and <bold>(b)</bold> the following Sentinel-1A
backscatter image from 5 January 2016 (DOY 5) showing remnants of the rain
event. <bold>(c)</bold> The difference between 5 January 2016 (DOY 5) and
24 December 2015 (DOY 358) SAR intensity images. Blue color indicates a
lowering of backscatter values between the images, showing wetter conditions
in the upper firn of Kongsvegen (white circles). Glacier outlines from 2007
(Nuth et al., 2013).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f08.png"/>

        </fig>

      <p id="d1e1548">To investigate the penetration depth further, values from black points in
Fig. 7a were selected where the backscatter values stabilized in the firn.
Values from the same points of dry-to-wet transition depths (Fig. 7b) gave
an indication of the depth of the dry-to-wet zone in the backscatter data.
The mean transition depth of the point values from Fig. 7b is 1.7 m when all
nine points were included. When only including the upper six points with
significant correlation <inline-formula><mml:math id="M66" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 920 m (showed in Fig. 7c and e), a mean
transition depth of 2.0 m was found. We speculate that backscatter intensity
cannot reflect small changes in snow depth during the dry wintertime due to
high volume scattering, thus suggesting deeper and temporally constant
penetration of the radar waves.</p>
      <p id="d1e1558">In this example, modeled data were used to help interpret time series of
backscatter intensity data. This might be inverted in the future, as SAR
backscatter data will be further understood and can potentially be used as
refined modeling input. Such information is valuable in remote regions in
the high Arctic that are lacking meteorological stations and where it is
costly to do field observations.</p>
</sec>
<sec id="Ch1.S5.SS4">
  <title>Weather events on glaciers in the cold season</title>
      <p id="d1e1568">High Arctic regions like Svalbard have encountered substantial warming the
last decades, especially in the winter season with a temperature increase of
3.8 <inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C from the measured period 2001–2015 to the reference period
1971–2000 (Isaksen et al., 2016). Frequent warm winter weather events are
occurring especially related to increasing numbers of melt and precipitation
days in the mid-winter (Vikhamar-Schuler et al., 2016). Winter rain events
are important to map in a glaciological context as it can be a substantial
component to internal accumulation as it refreezes in the snow pack (e.g.,
Jansson et al., 2003; Van Pelt and Kohler, 2015; Van Pelt et al., 2016). The
SAR backscatter contrast of ice and snow is directly dependent on the
meteorological conditions before and at the time of acquisition of the
satellite image. Rain on an ice surface gives stable backscatter values
similar to dry ice, since glacier ice is still rough even when wet.
Consequently, roughness is considered as a highly important scattering
variable (e.g., Hall et al., 2000). Wet snow absorbs SAR waves, and little
energy is transmitted back to the SAR sensor in comparison to  dry snow and
firn surfaces (Rott, 1984). During dry-snow conditions, the radar signals
depend on the underlying firn or ice conditions (e.g., Brown et al., 2005). In
this application scenario, we have examined a rain event on Kongsvegen and
Holtedahlfonna from dense Sentinel-1A images during the cold season
(corresponding to no. 3 in Fig. 2; see time series animation of Kongsvegen in Supplement). RADARSAT-2 ScanSAR satellite images were
used to investigate the extent of the rain event.</p>
      <p id="d1e1580">On 5 January 2016 (DOY 5), Sentinel-1A acquired an image over the
Kongsfjorden region indicating wet conditions on the upper part of
Kongsvegen and its surroundings (corresponding to no. 3 in Fig. 2). The
temperature and precipitation data from Ny-Ålesund showed a warm and wet
weather event from 29 December 2015 (DOY 363) to 4 January 2016 (DOY 4)
(Fig. A2 and Table A1). Figure 8a and b show backscatter images before and
after the rain event, and Fig. 8c, which shows the difference between the
two, indicates an area of wet conditions (blue color). Presumably, the
extent of the rain event covered the entire surface of Kongsvegen. However,
on the lower part on the glacier (the ice facies) this was hard to observe
due to little snow and rough surface. A clearer signal was found further
up-glacier with present seasonal snow on firn (white circle in Fig. 8b).</p>
      <p id="d1e1583">Wet conditions in a SAR image (indicated by low backscatter values in Fig. 8b)
do not necessary mirror the weather conditions at the time of
acquisition of the satellite image but may instead reflect the previous
consecutive days, since rainwater percolates through the snow and firn pack
creating prolonged wet conditions. In RADARSAT-2 ScanSAR data (Fig. 9) and
meteorological data (Fig. A2 and Table A1), colder conditions were measured
on 4 January 2016  (DOY 4, 1 day before the Sentinel-1A acquisition).
As stable low backscatter values were observed on 4–5 January 2016 (DOY 4 to
5) (Fig. 9 and Table A1), we suggest that capillary water in the snow and
firn, which was not yet frozen, was detected by the Sentinel-1 image on 5 January 2016
(DOY 5). This could be related to the isolation capability of
snow and release of latent heat when water refreezes.</p>
      <p id="d1e1586">The same wet-snow conditions were not found on Holtedahlfonna (Figs. 7a and
8c). We observed a rain event on Holtedahlfonna on 30 December 2015 (white
arrow on DOY 364 in Fig. 9), corresponding to 26.5 mm rain in Ny-Ålesund
(Table A1). In the following days, Holtedahlfonna had gradually higher SAR
backscatter values, while Kongsvegen remained dark (low backscatter).
Either  precipitation  fell as snow on Holtedahlfonna between 3 and 5 January 2016
(DOY 3 to 5) or conditions were cold with no snowfall. Thus, the RADARSAT-2
ScanSAR images revealed different local weather conditions in the
Kongsfjorden region. Colder conditions are in general present on
Holtedahlfonna as it has a more continental climate compared to Kongsvegen,
indicating that the rainwater in the snow and firn pack froze faster than
on Kongsvegen.</p>
      <p id="d1e1590">Directly after the winter rain event, we observed a changing backscatter
pattern in the ablation zone and lower part of the superimposed ice zone,
indicating change in snow and ice properties on Kongsvegen (corresponding to
no. 4 in Fig. 2). A change was also apparent from the modeled firn
air content in Fig. 6b and reflects an increase in air content in the snow
and firn pack after a rain event. Backscatter values increased <inline-formula><mml:math id="M68" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 dB
after the winter rain event between 300 and 600 m, and the border between
the superimposed ice and ablation zone became unclear (Fig. 6a). We know from
in situ observations on Kongsvegen that glacier ice in the ablation area
was covered with little snow in the spring 2016. The lower zone of the
ablation area might have had little snow cover already before the rain event
since the backscatter was continuously low during winter (indicated by light
blue color in Fig. 6a; present around the 200 m elevation line from 17 January to 4 May 2016,
DOY 17 to DOY 125). In the upper zone of the ablation
area and before the rain event, more snow was present compared to lower
elevations. Ice lenses and pipes might thus have been created from this
penetration of water in the snow after the rain event, resulting in snow
saturation giving stronger permittivity contrast as shown by increasing
backscatter values (indicated by yellow color in Fig. 6a; present around the
400 m elevation line from 17 January to 4 May 2016, DOY 17 to DOY 125).</p>
      <p id="d1e1600">Detection of winter rain events from SAR time series might be used to refine
modeling inputs, especially in regions where meteorological data are scarce.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e1605">RADARSAT-2 ScanSAR mode backscatter (dB) images from 29 to 30 December
2015 (DOY 363 and 364) and 3–5 January 2016 (DOY 3 to 5). Conditions on
Holtedahlfonna were wet on 30 December (see white arrows) but were dry and
cold again on 3–5 January 2016 (DOY 3 to 5) (higher backscatter than on
30 December 2015 (DOY 364). Low backscatter values were found on Kongsvegen
from 3 to 5 January 2016 (DOY 3 to 5; see red arrows), indicating wetter
conditions and more rainfall in this period compared to Holtedahlfonna.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS5">
  <title>Assistance by SAR data in glacier outline mapping</title>
      <p id="d1e1620">It is well known that glacier ice is mapped more efficiently with optical
satellite imagery than with SAR satellite data (e.g., Shi et al., 1994).
However, when using the multispectral band ratio method on a single optical
image for deriving glacier outlines (e.g., Paul and Kääb, 2005), it
can be difficult to separate seasonal snow from glacier and perennial snow
patches (e.g., Andreassen et al., 2012; Winsvold et al., 2016). Local
differences in weather conditions within a single optical satellite scene
are common in high mountain regions. Mapping conditions in a single optical
image might not be ideal due to cloud cover, seasonal snow around the
glacier perimeter and thin layers of newly fallen snow. Interferometric
coherence images have been used for deriving glacier outlines (e.g., Atwood
et al., 2010; Falk et al., 2016). In maritime regions such as southwestern
Norway it can be challenging to use SAR coherence images due to rapid
coherence loss between the time of acquisitions often caused by
precipitation, melt and wind. SAR backscatter information can be a valuable
replacement. Wet snow and ice surfaces have lower backscatter values than a
snow-free surface outside the glacier (Rott, 1984; Strozzi et al., 1997). In
this application scenario, we investigate how averaged summer SAR images
from glaciers in southern Norway can be used to assist in glacier outline
mapping (e.g., corresponding to no. 11 in Fig. 2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e1625">Glacier outline mapping for glaciers around Hellstugubreen. The
inset shows zoom-in on Austre Memurubre. <bold>(a)</bold> Mean of six SAR
backscatter (dB) images in the melt season from 23 July to 21 September 2015
(DOY 204 to 264). <bold>(b, c)</bold> Subsets of panel <bold>(a)</bold> as indicated by the
yellow and red rectangle in panel <bold>(d)</bold>. Azimuth angle is <inline-formula><mml:math id="M69" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.3<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.
<bold>(d, e, f)</bold> Landsat 8 OLI image from 11 September 2015 (DOY 254) and
subsets with poor glacier mapping conditions, since seasonal snow persisted
around the glacier perimeters, and a thin layer of new snow as in panels
<bold>(b)</bold> and <bold>(e)</bold>. Black arrows in panels <bold>(b)</bold> and <bold>(e)</bold>
and white in panels <bold>(c)</bold> and <bold>(f)</bold> indicate places where a backscatter composite image can
assist optical image when mapping glacier and perennial snow patches. Glacier
outlines are from 2003 (Andreassen et al., 2008), and therefore there is some
discrepancy between the imagery presented here.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f10.png"/>

        </fig>

      <p id="d1e1685">In 2015, seasonal snow remained throughout the ablation season in our study
area (Fig. 10d, e and f). A SAR composite consisting of the mean of six summer
SAR images might assist the mapping process of glacier outlines and
perennial snow patches (Fig. 10a, b and c). This is possible as the seasonal
snow was less visible in the summer SAR images compared with the optical
image (Fig. 10b and e, and c and f). Most likely, some SAR wave penetration
in the seasonal snow is possible despite the potentially wet conditions.
Thin snow that contaminates the optical mapping scene might become largely
transparent in the SAR stack. In addition, we speculate that water content
in the seasonal snow might have been low in some of the SAR acquisitions.
The Sentinel-1 scenes used here are taken in the afternoon at time 15:45.
Finally, water might drain easier from snow patches than on the glacier
surface due to often higher slopes, which results in a clearer signal from
on-glacier pixels since the signal is consistently low.</p>
      <p id="d1e1688">For our example, it is possible to retrieve a good estimate of the glacier
outlines when summer SAR images are averaged. Although the backscatter
images were affected by some radar distortions, we found good agreement with
the existing glacier outlines (Andreassen et al., 2008) and the Landsat 8
image (Fig. 10a and d). The potential of the stacked SAR image can be
further improved with double revisit time of Sentinel-1A and B. Clearly, the
SAR image stack used cannot fully replace optical scenes for glacier
mapping but can be of help as an additional layer to discriminate glacier
areas from seasonal snow.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Concluding remarks</title>
      <p id="d1e1698">In this paper, we have analyzed temporal trends and stack statistics from
SAR backscatter time series over glaciers using Sentinel-1A and B and
RADARSAT-2 images. Sentinel-1 provides free and open data of higher nominal
revisit time than any SAR instrument earlier. The time series is consistent,
making it possible to retrieve detailed information about the glacier
surface and subsurface in time. We have focused on the variable pattern of
backscatter values on glaciers and not the absolute values. Further work is
needed for developing standardized semiautomatic or automatic methods,
where the backscatter coefficient gamma nought should be used as input, for
a complete geometric and radiometric processing of the SAR images. Still,
standardized threshold values on the backscatter coefficients might be
difficult to apply due to difference in glacier dynamics and climate and
difference in polarization, incidence angle, ascending or descending paths,
and the applied processing algorithm. On a regional basis, well-known
classification regimes can be used to outline the glacier mapping variables
from SAR data (e.g., Kääb et al., 2014).</p>
      <p id="d1e1701">Using five application scenarios, we presented new insights on how to
exploit dense SAR data for glacier mapping purposes. We validated and
compared our results with model data, meteorological data, existing glacier
outlines from optical data, SMB data and remote sensing
data (RADARSAT-2 ScanSAR, Sentinel-2 and Landsat 8).</p>
      <p id="d1e1704">We have demonstrated the possibility of tracking TSLs during the melt season
and deriving the EOSS from Sentinel-1A and B backscatter time series. TSL
data were found to be valuable for regionally extrapolating and estimating
annual mass balance in areas without in situ measurements. Even though the
temporal resolution of optical imagery has been increased with the sister
satellite Sentinel-2B in orbit, maritime regions will remain cloudy and
hinder dense time series of high- to medium-resolution optical imagery, and
SAR time series can therefore act as a data gap filler. Additionally, high
spatial resolution Sentinel-1 time series can be used to measure snowmelt
parameters on glaciers and with 6-day temporal resolution (i.e., dry-to-wet
snow line, onset of melt season and length of the melt season).</p>
      <p id="d1e1707">SAR glacier zones corresponding to glacier facies were observed from the
backscatter time series. Time series from 2009 to 2016 using RADARSAT-2 and
Sentinel-1A SAR backscatter data showed relatively stable SAR glacier zones
on Kongsvegen and Holtedahlfonna. Dense SAR time series have a potential for
more accurate delineation of glacier facies compared to using only one
acquisition as in previous studies.</p>
      <p id="d1e1711">We presented a descriptive comparison of modeled surface and firn evolution
patterns with SAR backscatter time series. The penetration depths of
Sentinel-1A backscatter values in the firn are not constant in time and
resembled modeled results. A strong correlation exists between the modeled firn
air content and SAR backscatter values throughout the whole year. Strong
correlation was also found between the modeled depth of the subsurface
dry-to-wet conditions in the firn pack and winter SAR backscatter values.
Our findings are important to further understand glaciological processes,
and we have shown the potential of combining results from modeled snow and firn
evolution with high-resolution SAR backscatter time series data.</p>
      <p id="d1e1714">Winter rain events are predicted to be more frequent in the Arctic in the
future. If rainwater from winter weather events refreezes in the firn area,
it will contribute to internal accumulation of the glacier. In dense
Sentinel-1A backscatter time series, it was possible to detect such winter
rain events in the accumulation areas of glaciers, even when the rain event
happened before the satellite acquisition.</p>
      <p id="d1e1717">It can be challenging to map glacier outlines from the multispectral band
ratio method when a thin layer of new snow or much seasonal snow is present
in the optical mapping scene. With averaged summer SAR backscatter images,
we showed a potential for assisting the glacier mapping process.</p>
      <p id="d1e1720">With 6-day repeat cycles (Sentinel-1A and B) even more variability of glacier
conditions will be captured, e.g., detecting winter rain events more
thoroughly or tracking the end of summer snow line more precisely. Even
though optical imagery often is preferred for many glacier mapping approaches
because it measures in similar wavelengths as our eyes, SAR backscatter has
the potential for being increasingly applied to map glaciers. SAR backscatter
time series can be used as a refined modeling input, especially in regions
where SMB and meteorological data are scarce. However, more investigations
are needed for deriving robust end products. <?xmltex \hack{\newpage}?></p>
</sec>

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

      <p id="d1e1728">Most data used in this paper are freely and openly accessible:
Sentinel-1 and Sentinel-2 data are available through the Copernicus Open
Access Hub (<uri>https://scihub.copernicus.eu/</uri>).
Landsat-8 data are available through Earth Explorer (<uri>https://earthexplorer.usgs.gov/</uri>).
Glacier outlines are available through GLIMS (<uri>http://www.glims.org/</uri>) and CryoClim (<uri>www.cryoclim.net</uri>). The Norwegian terrain model is available through
the Norwegian Mapping Authority (<uri>https://hoydedata.no/</uri>). The
meteorological data are available through the Norwegian Meteorological
Institute (eklima.no). The ASTER GDEM (v2) is available on
<uri>https://asterweb.jpl.nasa.gov/gdem.asp</uri>. TanDEM-X Intermediate DEM data
are freely available for research purposes through acedemic access
procedures. RADARSAT-2 data are commercial and licensed to specific users for
specific purposes.</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<app id="App1.Ch1.S1">
  <title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F1"><caption><p id="d1e1760">Temperature record from Juvvasshøe meteorological station (ID
15270, 1894 m a.s.l.) from October 2014 to October 2016 (downloaded from
eKlima.no, 2016).</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f11.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.F2"><caption><p id="d1e1773"><bold>(a)</bold> Temperature and <bold>(b)</bold> precipitation record from
the meteorological station at Ny-Ålesund (ID 99910, 8 m a.s.l.) from
22 January 2015 to 13 September 2016 (DOY 22 2015 to 257 2016). The red box
indicates the time of the winter rain event with wet and warm conditions,
triggering low backscatter intensity of the snow and firn in upper parts of
Kongsvegen on the 5 January 2016 SAR image. After the rain event, but during
the same weather situation, the precipitation might have turned into snow on
the glacier (downloaded from eKlima.no, 2016).</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f12.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.F3"><caption><p id="d1e1793">RADARSAT-2 time series of SAR backscatter values (dB) along a
centerline profile on Holtedahlfonna from 2009 to 2015. Despite the time gaps
in the RADARSAT-2 time series, the refreezing signal in the upper part of the
firn area/zone is similar to the Sentinel-1 time series (Fig. 7a). This is
shown by a gradual increase in backscatter in the firn zone right after the
melt season, when the winter cold wave penetrates the firn and stabilizes
it.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/867/2018/tc-12-867-2018-f13.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T1"><?xmltex \hack{\hsize\textwidth}?><caption><p id="d1e1808">Measured temperature (TAM is mean, TAN is
minimum, TAX is maximum), precipitation (RR; mm) and snow depth (SA; cm) from
the Ny-Ålesund meteorological station, in the period between two
acquisitions of Sentinel-1A data (24 December 2015 to 5 January 2016).
Precipitation and maximum temperature marked in bold and italic might have
contributed to wet and warm conditions on the glaciers. (x indicates no
data.) </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Date</oasis:entry>  
         <oasis:entry colname="col2">DOY</oasis:entry>  
         <oasis:entry colname="col3">TAM</oasis:entry>  
         <oasis:entry colname="col4">TAN</oasis:entry>  
         <oasis:entry colname="col5">TAX</oasis:entry>  
         <oasis:entry colname="col6">RR</oasis:entry>  
         <oasis:entry colname="col7">SA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">24 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">358</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.8</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.9</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.7</oasis:entry>  
         <oasis:entry colname="col6">6</oasis:entry>  
         <oasis:entry colname="col7">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">25 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">359</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.2</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.3</oasis:entry>  
         <oasis:entry colname="col6">2.2</oasis:entry>  
         <oasis:entry colname="col7">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">26 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">360</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.4</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11</oasis:entry>  
         <oasis:entry colname="col6">0.1</oasis:entry>  
         <oasis:entry colname="col7">9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">27 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">361</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M80" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.6</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.2</oasis:entry>  
         <oasis:entry colname="col6">0.1</oasis:entry>  
         <oasis:entry colname="col7">13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">28 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">362</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.5</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M85" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.8</oasis:entry>  
         <oasis:entry colname="col6">7.2</oasis:entry>  
         <oasis:entry colname="col7">18</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">29 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">363</oasis:entry>  
         <oasis:entry colname="col3">4.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.2</oasis:entry>  
         <oasis:entry colname="col5"><italic>6.2</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>5</bold></oasis:entry>  
         <oasis:entry colname="col7">12</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">30 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">364</oasis:entry>  
         <oasis:entry colname="col3">2.6</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col5"><italic>7.2</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>26.5</bold></oasis:entry>  
         <oasis:entry colname="col7">5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">31 Dec 2015</oasis:entry>  
         <oasis:entry colname="col2">365</oasis:entry>  
         <oasis:entry colname="col3">x</oasis:entry>  
         <oasis:entry colname="col4">1.2</oasis:entry>  
         <oasis:entry colname="col5"><italic>7.4</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>23.1</bold></oasis:entry>  
         <oasis:entry colname="col7">x</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 Jan 2016</oasis:entry>  
         <oasis:entry colname="col2">1</oasis:entry>  
         <oasis:entry colname="col3">2.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col5"><italic>5.2</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>9.2</bold></oasis:entry>  
         <oasis:entry colname="col7">x</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 Jan 2016</oasis:entry>  
         <oasis:entry colname="col2">2</oasis:entry>  
         <oasis:entry colname="col3">1.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>  
         <oasis:entry colname="col5"><italic>3.5</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>18.2</bold></oasis:entry>  
         <oasis:entry colname="col7">4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3 Jan 2016</oasis:entry>  
         <oasis:entry colname="col2">3</oasis:entry>  
         <oasis:entry colname="col3">2.7</oasis:entry>  
         <oasis:entry colname="col4">0.6</oasis:entry>  
         <oasis:entry colname="col5"><italic>5.6</italic></oasis:entry>  
         <oasis:entry colname="col6"><bold>4.2</bold></oasis:entry>  
         <oasis:entry colname="col7">x</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4 Jan 2016</oasis:entry>  
         <oasis:entry colname="col2">4</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.9</oasis:entry>  
         <oasis:entry colname="col5">1.2</oasis:entry>  
         <oasis:entry colname="col6"><bold>26.7</bold></oasis:entry>  
         <oasis:entry colname="col7">x</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5 Jan 2016</oasis:entry>  
         <oasis:entry colname="col2">5</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M93" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.1</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7</oasis:entry>  
         <oasis:entry colname="col6">0</oasis:entry>  
         <oasis:entry colname="col7">x</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T2"><?xmltex \hack{\hsize\textwidth}?><caption><p id="d1e2351">Transient snow lines at Hellstugubreen and Kongsvegen
derived from Sentinel-2A; Sentinel-2A is S2A in italic font, Landsat 8 is L8 in
bold font and Sentinel-1A is S1A in regular font. </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <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="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Optical (<italic>S2A</italic> and <bold>L8</bold>) </oasis:entry>  
         <oasis:entry namest="col5" nameend="col7" align="center">SAR (S1A) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Date</oasis:entry>  
         <oasis:entry colname="col3">DOY</oasis:entry>  
         <oasis:entry colname="col4">TSL (m)</oasis:entry>  
         <oasis:entry colname="col5">Date</oasis:entry>  
         <oasis:entry colname="col6">DOY</oasis:entry>  
         <oasis:entry colname="col7">TSL (m)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hellstugubreen</oasis:entry>  
         <oasis:entry colname="col2"><bold>17 Aug 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>229</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>1600</bold></oasis:entry>  
         <oasis:entry colname="col5">16 Aug 2015</oasis:entry>  
         <oasis:entry colname="col6">228</oasis:entry>  
         <oasis:entry colname="col7">1575</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><italic>18 Aug 2015</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>230</italic></oasis:entry>  
         <oasis:entry colname="col4"><italic>1600</italic></oasis:entry>  
         <oasis:entry colname="col5">16 Aug 2015</oasis:entry>  
         <oasis:entry colname="col6">228</oasis:entry>  
         <oasis:entry colname="col7">1575</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>11 Sep 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>254</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>1750</bold></oasis:entry>  
         <oasis:entry colname="col5">9 Sep 2015</oasis:entry>  
         <oasis:entry colname="col6">252</oasis:entry>  
         <oasis:entry colname="col7">1800</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>19 Aug 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>232</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>1775</bold></oasis:entry>  
         <oasis:entry colname="col5">22 Aug 2016</oasis:entry>  
         <oasis:entry colname="col6">235</oasis:entry>  
         <oasis:entry colname="col7">1800</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>4 Sep 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>248</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>1800</bold></oasis:entry>  
         <oasis:entry colname="col5">3 Sep 2016</oasis:entry>  
         <oasis:entry colname="col6">247</oasis:entry>  
         <oasis:entry colname="col7">1825</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>20 Sep 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>264</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>1875</bold></oasis:entry>  
         <oasis:entry colname="col5">15 Sep 2016</oasis:entry>  
         <oasis:entry colname="col6">259</oasis:entry>  
         <oasis:entry colname="col7">1875</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kongsvegen</oasis:entry>  
         <oasis:entry colname="col2"><bold>1 Aug 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>213</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>500</bold></oasis:entry>  
         <oasis:entry colname="col5">2 Aug 2015</oasis:entry>  
         <oasis:entry colname="col6">214</oasis:entry>  
         <oasis:entry colname="col7">475</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>13 Aug 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>225</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>575</bold></oasis:entry>  
         <oasis:entry colname="col5">14 Aug 2015</oasis:entry>  
         <oasis:entry colname="col6">226</oasis:entry>  
         <oasis:entry colname="col7">525</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>22 Aug 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>234</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>600</bold></oasis:entry>  
         <oasis:entry colname="col5">26 Aug 2015</oasis:entry>  
         <oasis:entry colname="col6">238</oasis:entry>  
         <oasis:entry colname="col7">575</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>9 Sep 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>252</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>100</bold></oasis:entry>  
         <oasis:entry colname="col5">7 Sep 2015</oasis:entry>  
         <oasis:entry colname="col6">250</oasis:entry>  
         <oasis:entry colname="col7">475</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>18 Sep 2015</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>261</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>625</bold></oasis:entry>  
         <oasis:entry colname="col5">19 Sep 2015</oasis:entry>  
         <oasis:entry colname="col6">262</oasis:entry>  
         <oasis:entry colname="col7">NA</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>2 Jul 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>184</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>400</bold></oasis:entry>  
         <oasis:entry colname="col5">3 Jul 2016</oasis:entry>  
         <oasis:entry colname="col6">185</oasis:entry>  
         <oasis:entry colname="col7">375</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>9 Jul 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>191</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>475</bold></oasis:entry>  
         <oasis:entry colname="col5">15 Jul 2016</oasis:entry>  
         <oasis:entry colname="col6">197</oasis:entry>  
         <oasis:entry colname="col7">475</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><italic>2 Aug 2016</italic></oasis:entry>  
         <oasis:entry colname="col3"><italic>215</italic></oasis:entry>  
         <oasis:entry colname="col4"><italic>675</italic></oasis:entry>  
         <oasis:entry colname="col5">27 Jul 2016</oasis:entry>  
         <oasis:entry colname="col6">209</oasis:entry>  
         <oasis:entry colname="col7">575</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><bold>10 Aug 2016</bold></oasis:entry>  
         <oasis:entry colname="col3"><bold>223</bold></oasis:entry>  
         <oasis:entry colname="col4"><bold>700</bold></oasis:entry>  
         <oasis:entry colname="col5">8 Aug 2016</oasis:entry>  
         <oasis:entry colname="col6">221</oasis:entry>  
         <oasis:entry colname="col7">650</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?><supplementary-material position="anchor"><p id="d1e2831"><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-12-867-2018-supplement" xlink:title="zip">https://doi.org/10.5194/tc-12-867-2018-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
</app>
  </app-group><notes notes-type="authorcontribution">

      <p id="d1e2839">SHW developed the concepts of the study together with AK and CN.
The Sentinel-1 and 2 and Landsat data were
processed and analyzed by SHW. WJJvP modeled the firn
air content and water content on Holtedahlfonna and Kongsvegen in Svalbard.
TS processed the RADARSAT-2 data, and CN processed
Sentinel-1 for comparison tests, both using GAMMA. LMA provided
surface mass balance data from NVE and helped with result interpretations.
SHW prepared all figures and tables and wrote the manuscript. All
authors contributed on editing the paper.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e2845">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2851">The study was in parts funded by the European Research Council under the
European Union's Seventh Framework Programme (FP/2007–2013)/ERC grant
agreement no. 320816, the ESA project Glaciers_cci (4000109873/14/I-NB) and
the Norwegian Space Centre project Copernicus Glacier Service for Norway (NIT.06.15.5). We are very grateful to
ESA for provision of the Copernicus Sentinel-1 and Sentinel-2 data.
RADARSAT-2 Wide Fine Mode data were provided by NSC/KSAT under the
Norwegian–Canadian RADARSAT agreements 2007–2015. Landsat imagery were
provided by the US Geological Survey through Earth Explorer. TanDEM-X DEM was provided through DLR grant no. IDEM_GLAC0435. Thanks to the Norwegian mapping agency for
provision of their DEM. ASTER GDEM (v2) is a product of NASA and METI. The
weather station data from Svalbard and mainland Norway are provided through
the eKlima portal of the Norwegian Meteorological Institute. Thanks to Ian Brown and Stefan Wunderle
for their comments on the manuscript in their role as thesis committee members on Winsvold's PhD defense.
Furthermore, thanks to Kirsty Langley, Thorben Dunse and Bas Altena for helpful discussions and finally to Pierre Marie Lefeuvre and Robert McNabb for help with R coding
and batch scripting, respectively.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: Tobias Bolch <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Using SAR satellite data time series for regional glacier mapping</article-title-html>
<abstract-html><p class="p">With dense SAR satellite data
time series it is possible to map surface and subsurface glacier properties
that vary in time. On Sentinel-1A and RADARSAT-2 backscatter time series
images over mainland Norway and Svalbard, we outline how to map glaciers
using descriptive methods. We present five application scenarios. The
first shows potential for tracking transient snow lines with SAR backscatter
time series and correlates with both optical satellite images (Sentinel-2A
and Landsat 8) and equilibrium line altitudes derived from in situ surface
mass balance data. In the second application scenario, time series
representation of glacier facies corresponding to SAR glacier zones shows
potential for a more accurate delineation of the zones and how they change in
time. The third application scenario investigates the firn evolution using
dense SAR backscatter time series together with a coupled energy balance and
multilayer firn model. We find strong correlation between backscatter
signals with both the modeled firn air content and modeled wetness in the
firn. In the fourth application scenario, we highlight how winter rain events
can be detected in SAR time series, revealing important information about the
area extent of internal accumulation. In the last application scenario,
averaged summer SAR images were found to have potential in assisting the
process of mapping glaciers outlines, especially in the presence of seasonal
snow. Altogether we present examples of how to map glaciers and to further
understand glaciological processes using the existing and future massive
amount of multi-sensor time series data.</p></abstract-html>
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