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  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/tc-12-1273-2018</article-id><title-group><article-title>Changing pattern of ice flow and mass balance for glaciers
discharging into the Larsen A and B embayments, Antarctic Peninsula, 2011 to
2016</article-title><alt-title>Changing pattern of ice flow and mass balance</alt-title>
      </title-group><?xmltex \runningtitle{Changing pattern of ice flow and mass balance}?><?xmltex \runningauthor{H. Rott et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Rott</surname><given-names>Helmut</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4719-7376</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Abdel Jaber</surname><given-names>Wael</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4678-6806</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wuite</surname><given-names>Jan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9333-1586</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Scheiblauer</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5614-8296</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Floricioiu</surname><given-names>Dana</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>van Wessem</surname><given-names>Jan Melchior</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3221-791X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Nagler</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1298-8469</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Miranda</surname><given-names>Nuno</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>van den Broeke</surname><given-names>Michiel R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4662-7565</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>ENVEO IT GmbH, Innsbruck, Austria</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Atmospheric and Cryospheric Sciences, University of
Innsbruck, Innsbruck, Austria</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Remote Sensing Technology, German Aerospace Center,
Oberpfaffenhofen, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute for Marine and Atmospheric Research, Utrecht University,
Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>European Space Agency/ESRIN, Frascati, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">(helmut.rott@enveo.at)</corresp></author-notes><pub-date><day>11</day><month>April</month><year>2018</year></pub-date>
      
      <volume>12</volume>
      <issue>4</issue>
      <fpage>1273</fpage><lpage>1291</lpage>
      <history>
        <date date-type="received"><day>20</day><month>November</month><year>2017</year></date>
           <date date-type="rev-request"><day>28</day><month>November</month><year>2017</year></date>
           <date date-type="rev-recd"><day>7</day><month>March</month><year>2018</year></date>
           <date date-type="accepted"><day>11</day><month>March</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="d1e179">We analysed volume change and mass balance of outlet glaciers on the northern
Antarctic Peninsula over the periods 2011 to 2013 and 2013 to 2016, using
high-resolution topographic data from the bistatic interferometric radar
satellite mission TanDEM-X. Complementary to the geodetic method that applies DEM
differencing, we computed the net mass balance of the main outlet glaciers
using the mass budget method, accounting for the difference between the surface
mass balance (SMB) and the discharge of ice into an ocean or ice shelf. The
SMB values are based on output of the regional climate model RACMO version
2.3p2. To study glacier flow and retrieve ice discharge we generated
time series of ice velocity from data from different satellite radar sensors,
with radar images of the satellites TerraSAR-X and TanDEM-X as the main source.
The study area comprises tributaries to the Larsen A, Larsen Inlet and
Prince Gustav Channel embayments (region A), the glaciers calving into the Larsen B embayment (region B) and the glaciers draining into the remnant part of
the Larsen B ice shelf in Scar Inlet (region C). The glaciers of region A, where
the buttressing ice shelf disintegrated in 1995, and of region B (ice shelf
break-up in 2002) show continuing losses in ice mass, with significant
reduction of losses after 2013. The mass balance numbers for the grounded
glacier area of region A are <inline-formula><mml:math id="M1" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.98 <inline-formula><mml:math id="M2" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33 Gt a<inline-formula><mml:math id="M3" 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> from
2011 to 2013 and <inline-formula><mml:math id="M4" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.38 <inline-formula><mml:math id="M5" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 Gt a<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from 2013 to 2016. The
corresponding numbers for region B are <inline-formula><mml:math id="M7" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.75 <inline-formula><mml:math id="M8" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45 and
<inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.32 <inline-formula><mml:math id="M10" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25 Gt a<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>. The mass balance in region C during the
two periods was slightly negative, at <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54 <inline-formula><mml:math id="M13" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38 Gt a<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and <inline-formula><mml:math id="M15" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.58 <inline-formula><mml:math id="M16" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25 Gt a<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The main share in the
overall mass losses of the region was contributed by two glaciers: Drygalski
Glacier contributing 61 % to the mass deficit of region A, and Hektoria
and Green glaciers accounting for 67 % to the mass deficit of region B.
Hektoria and Green glaciers accelerated significantly in 2010–2011,
triggering elevation losses up to 19.5 m a<inline-formula><mml:math id="M18" 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> on the lower terminus
during the period 2011 to 2013 and resulting in a mass balance of
<inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.88 Gt a<inline-formula><mml:math id="M20" 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>. Slowdown of calving velocities and reduced calving
fluxes in 2013 to 2016 coincided with years in which ice mélange and sea ice
cover persisted in proglacial fjords and bays during summer.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e367">The disintegration of the ice shelves in Prince Gustav Channel and the Larsen
A embayment in January 1995 (Rott et al., 1996) and the break-up of the
northern and central sections of the Larsen B embayment in March 2002 (Rack and
Rott, 2004; Glasser and Scambos, 2008) triggered near-immediate acceleration
of the outlet glaciers previously feeding the ice shelves, resulting in major
mass losses due to increased ice discharge (Rott et al., 2002; De Angelis and
Skvarca, 2003;<?pagebreak page1274?> Scambos et al., 2004, 2011). Precise, spatially detailed data
on flow dynamics and mass balance of these glaciers after ice-shelf
disintegration are essential for understanding the complex glacier response
to the loss of ice shelf buttressing, as well as for learning about the processes
controlling the adaptation to new boundary conditions. Furthermore, due to
the complex topography of this region, spatially detailed data on glacier
surface elevation change and mass balance are key for reducing the
uncertainty of northern Antarctic Peninsula (API) contributions to sea level
rise.</p>
      <p id="d1e370">Several studies dealt with mass balance, acceleration and thinning of
glaciers after the disintegration of the Larsen A and B ice shelves, with the
majority focusing on glaciers of the Larsen B embayment. A complete, detailed
analysis of changes in ice mass was performed by Scambos et al. (2014) for 33
glacier basins covering the API mainland and adjoining islands north of
66<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, using a combination of digital elevation model (DEM)
differencing from optical stereo satellite images and repeat-track laser
altimetry from the Ice, Cloud, and land Elevation Satellite (ICESat). The DEM
difference pairs cover the periods 2001–2006, 2003–2008 and 2004–2010 for
different sections of the study area and are integrated with ICESat data from
the years 2003 to 2008. A detailed analysis of surface elevation change and
mass depletion for API outlet glaciers draining into the Larsen A, Larsen
Inlet and Prince Gustav Channel (PGC) embayments from 2011 to 2013 was
reported by Rott et al. (2014), based on topographic data from the
TanDEM-X/TerraSAR-X satellite formation. With a mass balance of
<inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.21 <inline-formula><mml:math id="M23" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37 Gt a<inline-formula><mml:math id="M24" 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> during 2011–2013 these glaciers were
still largely out of balance, although the loss rate during this period was
diminished by 27 % compared to the loss rate reported by Scambos et
al. (2014) for 2001 to 2008. Studies on frontal retreat, ice velocities and
ice discharge, based on remote sensing data from the period 1992 to 2014, are
reported by Seehaus et al. (2015) for the Dinsmoor–Bombardier–Edgeworth
glacier system previously feeding the Larsen A ice shelf and by Seehaus et
al. (2016) for the glaciers of Sjögren Inlet previously feeding the PGC ice
shelf.</p>
      <p id="d1e408">As observed previously for Larsen A (Rott et al., 2002), the major outlet
glaciers to the Larsen B embayment started to accelerate and thin immediately
after the collapse of the ice shelf (Rignot et al., 2004; Scambos et al.,
2004; De Rydt et al., 2015). The patterns of acceleration, thinning and
change in the frontal position have been variable in time and space. After strong
acceleration during the first years, some of the main glaciers slowed down
significantly after 2007, resulting in a major decrease in calving fluxes.
Other glaciers continued to show widespread fluctuations in velocity, with
periods of major frontal retreat alternating with stationary positions or
intermittent frontal advance (Wuite et al., 2015). The remnant section of
the Larsen B ice shelf in Scar Inlet started to accelerate soon after the central
and northern sections of the ice shelf broke away, triggering modest
acceleration of the main glaciers flowing into the Scar Inlet ice shelf
(Wuite et al., 2015; Khazendar et al., 2015).</p>
      <p id="d1e411">Several publications reported ice export and mass balance of the Larsen B
glaciers. Shuman et al. (2011) derived surface elevation change from optical
stereo satellite imagery and laser altimetry of ICESat and the
Airborne Topographic Mapper (ATM) of NASA's IceBridge programme. For the period
2001 to 2006 they report a combined mass balance of
<inline-formula><mml:math id="M25" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.4 <inline-formula><mml:math id="M26" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 Gt a<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the glaciers discharging into the Larsen B
embayment and Scar Inlet, excluding ice lost by frontal retreat. ICESat and
ATM altimetry measurements spanning 2002–2009 show for the lower Crane Glacier a
period of very rapid drawdown between September 2004 and September 2005,
bounded by periods of more moderate rates of surface lowering (Scambos et
al., 2011). Rott et al. (2011) derived velocities and ice discharge of the
nine main Larsen B glaciers in a pre-collapse state (1995 and 1999) and for
2008–2009, estimating the mass balance of these glaciers in 2008 at
<inline-formula><mml:math id="M28" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.34 <inline-formula><mml:math id="M29" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.64 Gt a<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Berthier et al. (2012) report a mass
balance of <inline-formula><mml:math id="M31" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.04 <inline-formula><mml:math id="M32" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.01 Gt a<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for Larsen B glaciers,
excluding Scar Inlet, for the period 2006 to 2010–2011, based on altimetry
and optical stereo imagery. Scambos et al. (2014) analysed changes in ice
mass from ICESat data spanning September 2003 to March 2008 and stereo image
DEMs spanning 2001–2002 to 2006. They report a combined mass balance of
<inline-formula><mml:math id="M34" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.9 Gt a<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the tributaries of the Larsen B embayment and
<inline-formula><mml:math id="M36" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.4 Gt a<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the tributaries to the Scar Inlet ice shelf. Wuite et
al. (2015) report strongly reduced calving fluxes for the main outlet glaciers
during the period 2010 to 2013 compared to the first few years after ice
shelf collapse.</p>
      <p id="d1e533">We use high-resolution data on surface topography derived from synthetic
aperture radar interferometry (InSAR) satellite measurements for retrieving
changes in glacier volume and estimating glacier mass balance over
well-defined epochs for API outlet glaciers along the Weddell Sea coast between
PGC and Jason Peninsula. In addition, we generate ice velocity maps to study
the temporal evolution of ice motion and derive the ice discharge for the
major glacier drainage basins. We also compute the mass balance by means of
the mass budget method, quantifying the difference between glacier surface
mass balance (SMB) and the discharge of ice into the ocean or across the
grounding line to an ice shelf. The SMB estimates are obtained from the output of
the regional atmospheric climate model RACMO version 2.3p2 at a grid size of
<inline-formula><mml:math id="M38" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5.5 km (van Wessem et al., 2016, 2017).</p>
      <p id="d1e543">Volume change and mass balance of glaciers discharging into the PGC, Larsen
Inlet and Larsen A embayments were derived by Rott et al. (2014) for the
period 2011 to 2013, applying TanDEM-X DEM differencing. Here we extend the
observation period for the same glacier basins by covering the time span 2013
to 2016. Furthermore, we present time series of surface velocity starting in
1993–1995 in order to relate the recent flow behaviour to pre-collapse
conditions.</p>
      <?pagebreak page1275?><p id="d1e546">For glaciers of the Larsen B embayment we generated maps of surface elevation
change by TanDEM-X DEM differencing for the periods 2011 to 2013 and 2013 to
2016. From these maps we derived mass changes at the scale of individual
glacier drainage basins. In addition, we obtained mass balance estimates for
the eight main glaciers using the mass budget method and compare the results of
the two independent methods. A detailed analysis of surface velocities of
the Larsen B glaciers for the period 1995 to 2013 was presented by Wuite et
al. (2015). We extend the time series to cover glacier velocities up to 2016.</p>
      <p id="d1e549">These data sets disclose large temporal and spatial variability in ice flow
and surface elevation change between different glacier basins and show
ongoing loss of grounded ice. This provides a valuable basis for studying
factors responsible for instability and downwasting of glaciers and for
exploring possible mechanisms of adaptation to new boundary conditions.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <title>DEM differencing using TanDEM-X interferometric SAR data</title>
      <p id="d1e563">The study is based on remote sensing data from various satellite missions. We
applied DEM differencing using interferometric SAR data (InSAR) of the
TanDEM-X mission to map the surface elevation change and retrieve the mass
balance for 24 catchments on the API east coast between PGC and Jason
Peninsula (Table S1 in the Supplement). Large glaciers are retained as single
catchments, whereas smaller glaciers and glaciers that used to share the same
outlet are grouped together. To separate glacier drainage basins inland
of the frontal areas, the glacier outlines of the Glaciology Group, University
of Swansea are used, which are available from the GLIMS database (Cook et al.,
2014). We updated the glacier fronts for several dates of the study period
using TerraSAR-X, TanDEM-X and Landsat 8 images. Catchment outlines and
frontal positions in 2011, 2013 and 2016 are plotted in a Landsat image of
29 October 2016 (Figs. S1 and S2 in the Supplement).</p>
      <p id="d1e566">The TanDEM-X mission (TDM) employs a bistatic interferometric configuration
of the two satellites TerraSAR-X and TanDEM-X flying in close formation
(Krieger et al., 2013). The two satellites together form a single-pass
synthetic aperture radar (SAR) interferometer, enabling the acquisition of
highly accurate cross-track interferograms that are not affected by temporal
decorrelation and variations in atmospheric phase delay. The main objective
of the mission is the acquisition of a global DEM with high accuracy. The
90 % relative point-to-point height accuracy for moderate terrain is
<inline-formula><mml:math id="M39" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 m at 12 m posting (Rossi et al., 2012; Rizzoli et al., 2012). Higher
relative vertical accuracy can be achieved for measuring elevation change
over time.</p>
      <p id="d1e576">Our analysis of elevation change is based on DEMs derived from interferograms
acquired by the TanDEM-X mission in mid-2011, -2013 and -2016. SAR data takes
from descending satellite orbits, acquired in 2013 and 2016, cover the API
east coast glaciers between 64<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and the Jason Peninsula, as well
as parts of the west coast glaciers (Fig. S3). For 2011 we processed data
takes covering the Larsen B glaciers. Over the Larsen A glaciers TDM data
from 2011 and 2013 had been processed in an earlier study to derive surface
elevation change (SEC). The mid-beam incidence angle of the various tracks
varies between 36.1 and 45.6<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The height of ambiguity (HoA, the
elevation difference corresponding to a phase cycle of 2<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula>) varies
between 20.6 and 68.9 m, providing good sensitivity to elevation (Rott,
2009) (Table S2). Only track A has a larger HoA and thus less height
sensitivity; this track extends along the west coast and covers only a very
small section of study glaciers along the Weddell coast.</p>
      <p id="d1e604">We used the operational Integrated TanDEM-X Processor (ITP) from the German
Aerospace Center (DLR) to process the raw bistatic SAR data from the individual
tracks into so-called raw DEMs (Rossi et al., 2012; Abdel Jaber, 2016). In
the production line for the global DEM, which also uses the ITP,
raw DEMs are intermediate products generated before DEM mosaicking. An option recently
added to the ITP foresees the use of reference DEMs to support raw DEM
processing (Lachaise and Fritz, 2016). We applied this option to generate
the raw DEMs by subtracting the phase of the simulated reference DEM from the
interferometric phase of the corresponding scene. The recently released
TanDEM-X global DEM with a posting of 0.4 arcsec was used as the main
reference DEM. Although the relative elevation in output is not related to
the reference DEM, the presence of inconsistencies in the reference DEM may
lead to artefacts in the output DEM. Therefore some preparatory editing was
performed: unreliable values were removed based on the provided consistency
mask of the global DEM and visual analysis and were substituted by data from
the Antarctic Peninsula DEM of Cook et al. (2012). The phase difference
image, which has a much lower fringe frequency, is unwrapped and summed up
with the simulated phase image. This option provides a robust phase-unwrapping
performance for compiling the individual DEMs. By subtracting the
two DEMs and accounting for the appropriate time span we obtain a surface
elevation rate of change map, with horizontal posting at about
12 m <inline-formula><mml:math id="M43" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12 m.</p>
      <p id="d1e615">For estimating the uncertainty of the TanDEM SEC maps we use a fully
independent data set acquired during NASA IceBridge campaigns that became
available after the production of the TDM SEC maps had been completed
(Sect. S3 in the Supplement). Surface elevation rate of change data
(<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, product code IDHDT4) derived from Airborne
Topographic Mapper (ATM) swathes, acquired on 14 November 2011 and
10 November 2016, cover longitudinal profiles on six of our study glaciers
(Studinger, 2014, updated 2017).<?pagebreak page1276?> Each IDHDT4 data record corresponds to an
area where two ATM lidar swathes have co-located measurements. The IDHDT4
data are provided as discrete points representing a 250 m <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 m
surface area and are posted with about 80 m along-track spacing. We compare
mean values of cells comprising 7 <inline-formula><mml:math id="M46" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 7 TDM <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>
pixels (12 m <inline-formula><mml:math id="M48" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12 m pixel size) with the corresponding IDHDT4
points. Even though the start and end dates of the TDM and ATM data sets
differ by a few months, the agreement in <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is very good.
The root mean square differences (RMSDs) of the data points range from 0.14 to
0.35 m a<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the different glaciers, and the mean difference of the
ATM and TDM data sets is <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> m a<inline-formula><mml:math id="M52" 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> (Table S3).
For the error analysis we assume that the differences result from
uncertainties in both data sets. The resulting RMSE for the TDM
<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> cells is 0.20 m a<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the 5-year time
span, and 0.39 and 0.58 m a<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the 3- and 2-year time spans,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e777">Scatter plot of measurements of surface elevation change
(<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) 2016–2011 on the central flow line of Crane Glacier based on
IceBrigde ATM and TanDEM-X elevation data. The line shows the linear fit.</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f01.png"/>

        </fig>

      <p id="d1e802">In order to demonstrate the concordance of the <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> data
sets, in Fig. 1 we show a scatter plot of ATM and TDM <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>
values from the central flow line on Crane Glacier. The TDM
<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> data are derived from DEMs from 30 June 2011 and
7 August 2016. Because of the time shifts between ATM and TDM data
acquisitions we start with the comparison 5 km inland of the front in order
to avoid the impact of the shifting glacier front, of floating section of the
terminus and of moving crevasse zones. The data in the figure include the
points along the flow line as far as the upper end of the ATM profile at 1000 m elevation. In spite of
the time shift the agreement between the two data sets is excellent; the
coefficient of determination (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is 0.98.</p>
      <p id="d1e866">The agreement between the lidar and radar <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> data
indicates that radar penetration is not an issue for deriving elevation
change from the SAR based DEMs of this study. This can be attributed to the
close agreement of the viewing angles in the corresponding SAR repeat data,
acquired from the same orbit track and beam and to the consistency of radar
propagation properties in the snow and firn bodies. The latter point follows
from the similarity of the backscatter coefficients of the corresponding
scenes, with differences between the two dates staying below 1 dB. The radar
backscatter coefficient can be used as an indicator of stability of the
structure and radar propagation properties of a snow/ice medium which
determine the signal penetration and the offset of the scattering phase
centre versus the surface (Rizzoli et al., 2017). The TDM SAR backscatter
images have high radiometric accuracy (absolute radiometric accuracy 0.7 dB,
relative radiometric accuracy 0.3 dB), very suitable for quantifying
temporal changes in backscatter (Schwerdt et al., 2010; Walter Antony et al.,
2016).</p>
      <p id="d1e885">The main outlet glaciers of the study area arise from the plateaus along
the central API ice divide. The plateaus stretch across elevations between
about 1500 and 2000 m a.s.l. A steep escarpment, dropping about 500 m in
elevation, separates the plateau from the individual glacier streams and
cirques. The high-resolution SEC maps, shown in Figs. 2, 6 and 7, cover the
areas below the escarpment excluding parts of the steep rock- and ice-covered slopes along the glacier streams. These gaps are due to the
particular SAR observation geometry, with slopes facing towards the
illuminating radar beam appearing compressed (foreshortening) or being
affected by the superposition of dual or multiple radar signals (layover) (Rott,
2009). On areas with gentle topography and on slopes facing away from the
radar beam (back-slopes) the surface elevation and its change can be derived
from the interferometric SAR images. In order to fill the gaps in areas of
foreshortening and layover, we checked the topographic change on the back-slopes. The
TDM data set includes SEC data for 38 individual sections on the back-slopes with
mean slope angles <inline-formula><mml:math id="M62" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 20<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, covering a total area of
787 km<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The mean <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> value of these slopes is
<inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.054 m a<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The satellite-derived velocity maps show surface
velocities <inline-formula><mml:math id="M68" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.02 m d<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on any slope area, indicating that dynamic
effects are insignificant for mass turnover. This explains the observed
stability of surface topography.</p>
      <p id="d1e969">There are also some gaps in the SEC maps on the plateau above the escarpment.
The TDM SEC analysis covers substantial parts (all together 2013 km<inline-formula><mml:math id="M70" 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>
of the ice plateaus between 1500 and 2000 m; the mean <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>
is <inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012 m a<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. No distinct spatial pattern is evident. Considering
the small change in surface elevation in the available data samples of the
ice plateau and on the slopes, we assume stationary conditions for the
unsurveyed slopes and the central ice plateau. To estimate uncertainty for these areas
we assume a bulk uncertainty <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>0.10 m a<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the error budget of elevation change derived from
DEMs spanning 3 years and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula>0.15 m a<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for DEMs spanning 2 years (Sect. S3).</p>
</sec>
<?pagebreak page1277?><sec id="Ch1.S2.SS2">
  <title>Ice velocity maps and calving fluxes</title>
      <p id="d1e1090">We generated maps of glacier surface velocity for several dates of the study
period from radar satellite images, extending the available velocity time
series up to 2016. The main data for the recent velocity maps are
repeat-pass SAR images of the satellites TerraSAR-X and TanDEM-X. Gaps in
these maps, primarily in the slow-moving interior, are filled with
velocities derived from SAR images of Sentinel-1 (S1) and of the Phased Array
L-band SAR (PALSAR) on ALOS. We applied offset tracking to derive
two-dimensional surface displacements in radar geometry and projected these
onto the glaciers surfaces defined by the Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER)-based Antarctic Peninsula
digital elevation model (API-DEM) of Cook et al. (2012). The velocity data
set comprises the three components of the surface velocity vector in
Antarctic polar stereographic projection resampled to a 50 m grid.</p>
      <p id="d1e1093">The TerraSAR-X/TanDEM-X velocity maps are based on SAR strip map mode images
of 11-day repeat-pass orbits, using data spanning one or two repeat cycles.
Due to the high spatial resolution of the images (3.3 m along the flight
track and 1.2 m in radar line-of-sight) velocity gradients are well
resolved. Wuite et al. (2015) estimated the uncertainty of velocity maps
(magnitude) of the Larsen B glaciers derived from TerraSAR-X 11-day repeat-pass
images at <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.05 m d<inline-formula><mml:math id="M79" 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>.</p>
      <p id="d1e1115">Regarding S1 we use single-look complex (SLC) Level 1 products acquired in
interferometric wide (IW) swath mode,
with nominal spatial resolution of
20 m <inline-formula><mml:math id="M80" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 m (Torres et al., 2012; Nagler et al., 2015). Images of
the Sentinel-1A satellite in a 12-day repeat cycle cover the study region
from December 2014. Since September 2016 the area has also been covered by the
Sentinel-1B satellite, providing a combined S1 data set with 6-day repeat
coverage. In order to check the impact of combining different ice velocity
products, we compared TerraSAR-X/TanDEM-X velocity maps of the study area,
resampled to 200 m, with S1 velocity maps using data sets with a maximum
time difference of 10 days. The overall mean bias (S1 – TerraSAR-X/TanDEM-X)
between the two data sets (sample 570 000 points) is 0.011 m d<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for
the velocity component <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (easting) and <inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.002 m d<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for
<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (northing), the RMSD is 0.175 m d<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
0.207 m d<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The RMSD values for the TerraSAR-X and
Sentinel-1 velocity product are mainly due to the different spatial
resolutions of the sensors. The good agreement of the mean velocity values
indicates that velocity data from the two missions can be easily merged.</p>
      <p id="d1e1225">In addition to the recently generated velocity products we use velocity data
from earlier years to support the scientific interpretations which were
derived from SAR data from various satellite missions, including ERS-1, ERS-2,
Envisat ASAR and ALOS PALSAR (Rott et al., 2002, 2011, 2014; Wuite et al.,
2015).</p>
      <p id="d1e1229">In order to obtain mass balance estimates using the mass budget method, we
compute the mass flux <inline-formula><mml:math id="M90" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> across a gate of width <inline-formula><mml:math id="M91" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> [m] at the calving front
or grounding line according to
            <disp-formula id="Ch1.Ex1"><mml:math id="M92" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>Y</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>i</mml:mtext></mml:msub><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mi>Y</mml:mi></mml:munderover><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mtext>d</mml:mtext><mml:mi>y</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>i</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the density of ice, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the
mean velocity of the vertical ice column perpendicular to the gate, and <inline-formula><mml:math id="M95" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is
the ice thickness. We use an ice density of 900 kg m<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to convert the ice
volume into mass. From the similarity of the radar backscatter coefficients
in the 2011 and 2016 TanDEM-X images we can exclude significant changes in
the structure and density of the snow/firn column. The good agreement between
the IceBridge lidar and the TanDEM-X <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> values also indicates
stability of the structure and density of the snow/ice medium. Therefore
the possible error due to density changes in the vertical column is
negligible compared to the uncertainty in <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (details in
Sect. S3.2). For calving glaciers full sliding is assumed
across calving fronts, so that <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the surface velocity,
<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mtext>s</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, obtained from satellite data. For glaciers discharging into the Scar Inlet ice shelf we estimated the ice deformation at the flux gates applying
the laminar flow approximation (Paterson, 1994). The resulting vertically
averaged velocity for these glaciers is <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn><mml:msub><mml:mi>u</mml:mi><mml:mtext>s</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The ice
thickness at the flux gates is obtained from various sources. For some
glaciers sounding data on ice thickness are available, measured either by in
situ or airborne radar sounders (Farinotti et al., 2013, 2014; Leuschen et
al., 2010, updated 2016). For glaciers with floating terminus the ice
thickness is deduced from the height above sea level, applying the flotation
criterion.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e1418">Rates of surface elevation change, volume change and mass balance by
means of TDM DEM differencing 2013 to 2016, for glacier basins discharging
into Prince Gustav Channel, Larsen Inlet and Larsen A embayment.
<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is the mean rate of elevation change in the area
covered by the high-resolution map (Fig. 2). The basin area refers to ice
front positions delineated in TanDEM-X images of 16 July, 27 July,
18 August 2016. The rates of ice volume change (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) and
total mass balance (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) refer to grounded ice.
<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> 2011–2013 for grounded areas of basins A1 to A7
from the TDM SEC analysis by Rott et al. (2014).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Basin name</oasis:entry>
         <oasis:entry colname="col3">Basin area</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Uncertainty</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (Gt a<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (Gt a<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">map (km<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(m a<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">2013–2016</oasis:entry>
         <oasis:entry colname="col9">2011–2013</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">A1</oasis:entry>
         <oasis:entry colname="col2">Cape Longing Peninsula</oasis:entry>
         <oasis:entry colname="col3">668.9</oasis:entry>
         <oasis:entry colname="col4">576.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.257</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.146</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M123" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.041</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.131</oasis:entry>
         <oasis:entry colname="col9">-0.150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A2</oasis:entry>
         <oasis:entry colname="col2">Sjögren–Boydell (SB)</oasis:entry>
         <oasis:entry colname="col3">527.6</oasis:entry>
         <oasis:entry colname="col4">188.0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.239</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.241</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.046</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.217</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.364</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A3</oasis:entry>
         <oasis:entry colname="col2">APPE glaciers</oasis:entry>
         <oasis:entry colname="col3">513.6</oasis:entry>
         <oasis:entry colname="col4">231.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M130" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.137</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M131" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.032</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M132" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.052</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M133" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.029</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.056</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A4</oasis:entry>
         <oasis:entry colname="col2">DBE glaciers</oasis:entry>
         <oasis:entry colname="col3">653.9</oasis:entry>
         <oasis:entry colname="col4">194.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.286</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.063</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M137" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.058</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.057</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.396</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A5</oasis:entry>
         <oasis:entry colname="col2">Sobral Peninsula</oasis:entry>
         <oasis:entry colname="col3">257.9</oasis:entry>
         <oasis:entry colname="col4">198.5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.173</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.034</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M142" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.018</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.031</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.145</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A6</oasis:entry>
         <oasis:entry colname="col2">Cape Worsley coast</oasis:entry>
         <oasis:entry colname="col3">625.1</oasis:entry>
         <oasis:entry colname="col4">291.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.742</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.217</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M147" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.051</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.195</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.800</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">A7</oasis:entry>
         <oasis:entry colname="col2">Drygalski Glacier</oasis:entry>
         <oasis:entry colname="col3">998.3</oasis:entry>
         <oasis:entry colname="col4">604.7</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.187</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.913</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M152" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.074</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.722</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.179</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Total </oasis:entry>
         <oasis:entry colname="col3">4245.3</oasis:entry>
         <oasis:entry colname="col4">2285.7</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.646</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M156" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.199</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.382</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.978</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e2236">The uncertainty estimate for mass balance at basin scale, derived by means of
the mass budget method, accounts for uncertainties of SMB and for uncertainties in flow velocity and ice thickness at the flux
gates (Sect. S3.2). For uncertainty estimates of mass fluxes we
assume <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 % error in the cross section area of glaciers with GPR
data across or close to the gates and <inline-formula><mml:math id="M160" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>15 % for glaciers where the
ice thickness is deduced from frontal height above flotation. The velocities
used for computing calving fluxes are exclusively derived from TerraSAR-X and
TanDEM-X repeat-pass data. For velocities across the gates we
assume <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5 % uncertainty. For surface mass balance at basin scale,
based on RACMO output, the uncertainty is estimated at <inline-formula><mml:math id="M162" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>15 %.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page1278?><sec id="Ch1.S3">
  <title>Elevation change and mass balance of glaciers north of Seal Nunataks</title>
<sec id="Ch1.S3.SS1">
  <title>Elevation change and mass balance by DEM differencing</title>
      <p id="d1e2280">The map of surface elevation change <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> from June–July 2013 to July–August
2016 for the glacier basins discharging into PGC, Larsen Inlet and Larsen A
embayment is shown in Fig. 2. The numbers on elevation change, volume
change and mass balance, excluding floating glacier areas, are specified in
Table 1. As explained in Sect. 2.1, for areas not displayed on this map
(steep radar fore-slopes and the ice plateau above the escarpment) the
available data indicate minimal changes in surface elevation so that stable
surface topography is assumed for estimating the net mass balance.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e2301">Map of surface elevation change <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (SEC) (m a<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
June–July 2013 to July–August 2016 on glaciers north of Seal Nunataks (SN).
AI – Arrol Icefall, CL – Cape Longing, CW – Cape Worsley. L-A – Larsen A
embayment, LI – Larsen Inlet, PGC – Prince Gustav Channel.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f02.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e2344"><bold>(a)</bold> Area extent of floating ice in 2016; <bold>(b)</bold> and <bold>(c)</bold>  show rate
of surface elevation change and volume change 2013 to 2016 of floating ice;
(<bold>a–c</bold>) exclude the areas of frontal advance; <bold>(d)</bold> and <bold>(e)</bold> show the extent and
volume of frontal advance (<inline-formula><mml:math id="M166" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) or retreat (<inline-formula><mml:math id="M167" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>) areas.</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"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><bold>(a)</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>(b)</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>(c)</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>(d)</bold></oasis:entry>
         <oasis:entry colname="col7"><bold>(e)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Basin name</oasis:entry>
         <oasis:entry colname="col3">Floating area</oasis:entry>
         <oasis:entry colname="col4">Mean <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Mean <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Advance/retreat area</oasis:entry>
         <oasis:entry colname="col7">Volume</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(m a<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(km<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">A2</oasis:entry>
         <oasis:entry colname="col2">Sjögren–Boydell</oasis:entry>
         <oasis:entry colname="col3">6.09</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.250</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.062</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.96</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.403</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A4</oasis:entry>
         <oasis:entry colname="col2">DBE glaciers</oasis:entry>
         <oasis:entry colname="col3">56.22</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.131</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.060</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11.74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.017</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A6</oasis:entry>
         <oasis:entry colname="col2">Cape Worsley coast</oasis:entry>
         <oasis:entry colname="col3">4.89</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.194</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.008</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.92</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.550</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A7</oasis:entry>
         <oasis:entry colname="col2">Drygalski Glacier</oasis:entry>
         <oasis:entry colname="col3">4.57</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.231</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.082</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.40</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.360</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2770">Rate of glacier surface elevation change <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (in
m a<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from 2013 to 2016 versus altitude in 50 m intervals for basins A2,
A6 and A7. Green line: hypsometry of surveyed glacier area in km<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f03.png"/>

        </fig>

      <p id="d1e2819">For glaciers with major sections of floating ice and frontal advance or
retreat, the extent, SEC and volume change (including the subaqueous part) of
the floating area and the advance/retreat area and volume are specified in
Table 2. The area extent of floating ice is inferred from the reduced rate of
SEC compared to grounded ice, using the height above sea level as an additional
constraint. Dinsmoor–Bombardier–Edgeworth glaciers (DBE, basin A4) had the
largest floating area (56.2 km<inline-formula><mml:math id="M192" 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>, extending about 8 km into a narrow
fjord and also showed the largest frontal advance (11.7 km<inline-formula><mml:math id="M193" 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> between
2013 and 2016.</p>
      <?pagebreak page1279?><p id="d1e2846">The mass depletion of grounded ice in the basins A1 to A7 (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.38</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during the period 2013 to 2016 amounts to 60 % of
the 2011 to 2013 value (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.98</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the grounded
areas; Rott et al., 2014). The mass deficit is dominated by Drygalski Glacier
(<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.72</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2013 to 2016 and
<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.18</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2011 to 2013). A decline of mass losses between the
first and second period is observed for all basins except A3 (Albone, Pyke,
Polaris, Eliason glaciers, APPE) in Larsen Inlet, which was approximately in
a balanced state from 2011 to 2016 (Table 1, Fig. 2).</p>
      <p id="d1e2962">The altitude dependence of elevation change (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) for the
three basins with the largest mass deficit is shown in Fig. 3. Positive
values in the lowest elevation zone of Basin A2 and A6 are due to frontal
advance. The areas close to the fronts include partly floating ice so that
the observed SEC is smaller than on grounded areas further upstream. The
largest loss rates are observed in elevation zones several km inland of the
front.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Flow velocities, calving fluxes and mass balance using the mass budget
method</title>
      <p id="d1e2987">Data on flow velocities provide, on one hand, input for deriving calving
fluxes. On the other hand they provide information for studying the dynamic response of
the glaciers. Figure 4 shows maps of surface velocities in 2011 and 2016,
derived from TerraSAR-X and TanDEM-X 11-day repeat-pass images and a map of
the difference in velocity between October–November 1995 and 2016. Insets
show the velocity difference from 2011 to 2016 for the main glaciers that were
subject to slowdown. The 1995 velocity map was derived from interferometric
1-day repeat-pass data on crossing orbits from the satellites ERS-1 and
ERS-2 (map shown in Fig. S3 of Rott et al., 2014, Supplement). In
October–November 1995, 10 months after the ice shelf collapse, the velocities at
the calving fronts had already accelerated significantly compared to pre-collapse
conditions (Rott et al., 2002). Between 2011 and 2016 the flow velocities
slowed down significantly. Even so, in 2016 the terminus velocities of the
major outlet glaciers still exceeded the November 1995 velocities.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2992">Magnitude of ice velocity (m d<inline-formula><mml:math id="M203" 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>) 2011 <bold>(a)</bold> and 2016 <bold>(b)</bold>
derived from TerraSAR-X and TanDEM-X data. Gaps in 2011 filled with PALSAR
data and in 2016 filled with Sentinel-1 data. <bold>(c)</bold> Map of velocity
difference between 2016 and 1995 (October–November). Insets: velocity difference
between 2016 and 2011 for Sjögren, DBE and Drygalski glaciers.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f04.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e3025">Mean specific surface mass balance, <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, for 2011 to 2016,
and rates of surface mass balance (SMB), calving flux (CF) and mass balance (MB)
using the mass budget method in Gt a<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the periods 2011 to 2013
and 2013 to 2016 for outlet glaciers north of Seal Nunataks.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Glacier</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> 2011–2016</oasis:entry>
         <oasis:entry colname="col4">SMB 2011–</oasis:entry>
         <oasis:entry colname="col5">SMB 2013–</oasis:entry>
         <oasis:entry colname="col6">CF 2011–</oasis:entry>
         <oasis:entry colname="col7">CF 2013–</oasis:entry>
         <oasis:entry colname="col8">MB 2011–</oasis:entry>
         <oasis:entry colname="col9">MB 2013–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"> kg m<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2013 Gt a<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2016 Gt a<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">2013 Gt a<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">2016 Gt a<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">2013 Gt a<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">2016 Gt a<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">A2</oasis:entry>
         <oasis:entry colname="col2">SB</oasis:entry>
         <oasis:entry colname="col3">653</oasis:entry>
         <oasis:entry colname="col4">0.314</oasis:entry>
         <oasis:entry colname="col5">0.362</oasis:entry>
         <oasis:entry colname="col6">0.861</oasis:entry>
         <oasis:entry colname="col7">0.673</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M215" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.547 <inline-formula><mml:math id="M216" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.144</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M217" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.311 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.119</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A3</oasis:entry>
         <oasis:entry colname="col2">APPE</oasis:entry>
         <oasis:entry colname="col3">903</oasis:entry>
         <oasis:entry colname="col4">0.446</oasis:entry>
         <oasis:entry colname="col5">0.470</oasis:entry>
         <oasis:entry colname="col6">0.517</oasis:entry>
         <oasis:entry colname="col7">0.488</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.071 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.088</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.018 <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.089</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A4</oasis:entry>
         <oasis:entry colname="col2">DBE</oasis:entry>
         <oasis:entry colname="col3">982</oasis:entry>
         <oasis:entry colname="col4">0.624</oasis:entry>
         <oasis:entry colname="col5">0.646</oasis:entry>
         <oasis:entry colname="col6">0.980</oasis:entry>
         <oasis:entry colname="col7">0.748</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M223" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.356 <inline-formula><mml:math id="M224" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.181</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M225" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.102 <inline-formula><mml:math id="M226" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.153</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">A7</oasis:entry>
         <oasis:entry colname="col2">Drygalski</oasis:entry>
         <oasis:entry colname="col3">1383</oasis:entry>
         <oasis:entry colname="col4">1.398</oasis:entry>
         <oasis:entry colname="col5">1.374</oasis:entry>
         <oasis:entry colname="col6">3.687</oasis:entry>
         <oasis:entry colname="col7">3.177</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.289 <inline-formula><mml:math id="M228" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.619</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M229" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.803 <inline-formula><mml:math id="M230" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.544</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3472">Surface velocities along the central flow lines of
Drygalski, Edgeworth and Sjögren glaciers and their frontal positions on
different dates (month/year). The <inline-formula><mml:math id="M231" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M232" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> scales are different for
individual glaciers. Vertical lines show positions of the calving front. The
insets show velocities in the centre of the flux gates.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f05.png"/>

        </fig>

      <p id="d1e3495">Details on velocities along the central flow lines of Drygalski, Edgeworth and
Sjögren glaciers and the position of calving fronts are shown in Fig. 5
for different dates between 1993–1995 and 2016. The distance along the
<inline-formula><mml:math id="M233" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis refers to the 1995 grounding line retrieved from ERS-1/ERS-2 InSAR
data (Rott et al., 2002). The front of the three glaciers has retreated by several kilometres since
1995, with the largest retreat (11 km) by Sjögren
Glacier in 2012. Between 2013 and 2016 the front of Edgeworth Glacier
advanced by 1.5 km and the front of Sjögren Glacier by 0.5 km.</p>
      <p id="d1e3505">The velocity of Sjögren Glacier decreased gradually from 2.9 m d<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
in August 2009 to 1.5 m d<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in October 2016, referring to the centre
of the 2009 front. The calving velocity on Edgeworth Glacier in the centre of
the flux gate decreased from 2.5 m d<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in October 2008 to
1.1 m d<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in August 2016. The rate of deceleration between 2013 and
2016 was particularly pronounced at the lowest 6 km of the terminus where
the ice was ungrounded. For Drygalski Glacier we also show pre-collapse
velocities (January 1993), derived from 35-day ERS-1 repeat-pass images by
offset tracking. In November 1995 the glacier front was located near the
pre-collapse grounding line, but the flow acceleration had already propagated
10 km upstream of the front. Due to rapid flow<?pagebreak page1280?> the phase of the
31 October–1 November 1995 ERS-1/ERS-2 InSAR pair is decorrelated on the
lowest 2 km, prohibiting interferometric velocity retrieval.
Velocities in January 1999 and November 2015 are similar, with 7.0 m d<inline-formula><mml:math id="M238" 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 location of the 2015 glacier front. Velocities were lower in 2007 to
2009 and higher in 2011 to 2014, reaching 8.8 m d<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in November 2011.</p>
      <p id="d1e3581">The recent period of abating flow velocities coincides with years in which the
sea ice cover persisted during summer. Time series of satellite SAR images
show open water in front of the glaciers during several summers up to
2008–2009 and again in the summers of 2010–2011 and 2011–2012. Ice mélange and
sea ice persisted all year round from winter 2012 onwards. Open leads in
summer and the gradual drift of ice that calved off from the glaciers
indicate moderate movement of sea ice.</p>
      <p id="d1e3584">Slowdown of calving velocities is the main cause for reduced mass deficits
during the period 2013 to 2016 compared to previous years. Numbers on calving
fluxes for 2011 to 2013 and 2013 to 2016 and the mass balance, derived by the
mass budget method (MBM), are specified for four main glacier basins in
Table 3. To derive the calving flux (CF) for each period a linear
interpolation between the fluxes at the start date and end date of the period
is applied, including a correction for the time lag between ice motion and
topography data. If velocity data are available on additional dates in
between, these are also taken into account for temporal interpolation.
Whereas the SMB values between the periods 2011 to 2013 and 2013 to 2016
differ only by 2 %, the combined annual calving flux of the four glaciers
is reduced by 16 % from 2013 to 2016 (Table 3). The decrease is even
more pronounced when calving fluxes of individual dates in 2011, 2013 and
2016 are compared. On Drygalski Glacier the calving flux decreased from
4.03 Gt a<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in November 2011 to 3.34 Gt a<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in December 2013
and 2.92 Gt a<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in September 2016, a decrease by 28 % over the
5 years.</p>
      <?pagebreak page1282?><p id="d1e3623">The differences in the mass balance by TDM SEC (Table 1) and MBM (Table 3)
are within the specified uncertainty. For MBM the mass balance of the four
glaciers sums up to <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.26</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2011 to 2013 and
<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.23</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 2013 to 2016. The corresponding numbers from SEC
analysis, after adding or subtracting the subaqueous mass changes, are
<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.01</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.99</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the two periods.</p>
      <p id="d1e3704">For Drygalski Glacier the mass balance numbers for the two periods are
<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.29</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.80</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M252" 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> by MBM, versus <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.18</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.80</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M255" 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> (including the subaqueous part) by TDM SEC analysis.
The good agreement of the MBM and SEC mass balance values for Drygalski
Glacier backs up the RACMO estimate for SMB with specific net balance
<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1383</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. For the period 1980 to 2016 the
mean SMB for Drygalski Glacier by RACMO is 1.35 Gt a<inline-formula><mml:math id="M259" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1342</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M261" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. This is more than twice the ice mass flux
across the grounding line in a pre-collapse state (0.58 Gt a<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> obtained
as model output by Royston and Gudmundsson (2016), which would imply a highly
positive mass balance taking RACMO SMB as reference for mass input. Velocity
measurements in October–November 1994 at stakes on the Larsen A ice shelf
downstream of Drygalski Glacier show values that are close to the average
velocity of the 10-year period 1984 to 1994 (Rott et al., 1998; Rack et al.,
1999). This supports the assumption that the Larsen A tributary glaciers were
approximately in a balanced state before ice shelf collapse.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e3883">Map of surface elevation change (SEC, m a<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from May–June 2011 to
June–July 2013 on glaciers of the Larsen B embayment (L-B). SN – Seal Nunataks.
SI – Scar Inlet ice shelf.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f06.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e3909">Map of surface elevation change (SEC, m a<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from June–July 2013 to
July–August 2016 on glaciers of the Larsen B embayment (L-B). SN – Seal
Nunataks. SI – Scar Inlet ice shelf.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f07.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p id="d1e3936">Rate of surface elevation change for areas by means of TDM
DEM differencing from 2011 to 2013 for glacier basins of the Larsen B embayment.
<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is the mean rate of elevation change in the area covered by the high-resolution map (Fig. 6). The basin area refers to ice front positions
delineated in TanDEM-X images of 20 June and 1 July 2013. The rates of ice
volume change (<inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) and total mass balance (<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) refer to grounded ice.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Basin name</oasis:entry>
         <oasis:entry colname="col3">Total basin</oasis:entry>
         <oasis:entry colname="col4">TDM surveyed</oasis:entry>
         <oasis:entry colname="col5">Mean <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Uncertainty</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">area (km<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">area (km<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(m a<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">(Gt a<inline-formula><mml:math id="M279" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">B1</oasis:entry>
         <oasis:entry colname="col2">West of SN</oasis:entry>
         <oasis:entry colname="col3">638.1</oasis:entry>
         <oasis:entry colname="col4">494.1</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M280" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.693</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.342</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M282" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.063</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M283" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.308</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B2</oasis:entry>
         <oasis:entry colname="col2">Hektoria Green</oasis:entry>
         <oasis:entry colname="col3">1167.5</oasis:entry>
         <oasis:entry colname="col4">491.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M284" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.844</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M285" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.312</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M286" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.145</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.881</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B3</oasis:entry>
         <oasis:entry colname="col2">Evans</oasis:entry>
         <oasis:entry colname="col3">266.9</oasis:entry>
         <oasis:entry colname="col4">137.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.700</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.364</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M290" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.032</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M291" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.328</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B4</oasis:entry>
         <oasis:entry colname="col2">Evans Headland</oasis:entry>
         <oasis:entry colname="col3">117.7</oasis:entry>
         <oasis:entry colname="col4">106.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.476</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M293" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.051</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M294" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.011</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M295" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.046</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B5</oasis:entry>
         <oasis:entry colname="col2">Punchbowl</oasis:entry>
         <oasis:entry colname="col3">119.9</oasis:entry>
         <oasis:entry colname="col4">84.2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M296" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.761</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M297" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.064</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.013</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M299" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.058</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B6</oasis:entry>
         <oasis:entry colname="col2">Jorum</oasis:entry>
         <oasis:entry colname="col3">460.3</oasis:entry>
         <oasis:entry colname="col4">110.6</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M300" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.157</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M301" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.239</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M302" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.063</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.215</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B7</oasis:entry>
         <oasis:entry colname="col2">Crane</oasis:entry>
         <oasis:entry colname="col3">1322.6</oasis:entry>
         <oasis:entry colname="col4">343.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M304" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.318</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M305" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.805</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M306" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.179</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M307" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.724</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B8</oasis:entry>
         <oasis:entry colname="col2">Larsen B coast</oasis:entry>
         <oasis:entry colname="col3">142.6</oasis:entry>
         <oasis:entry colname="col4">95.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M308" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.085</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M309" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.046</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M310" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.016</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M311" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.041</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B9</oasis:entry>
         <oasis:entry colname="col2">Mapple</oasis:entry>
         <oasis:entry colname="col3">155.4</oasis:entry>
         <oasis:entry colname="col4">92.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M312" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.524</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M313" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.048</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M314" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.018</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M315" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.043</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B10</oasis:entry>
         <oasis:entry colname="col2">Melville</oasis:entry>
         <oasis:entry colname="col3">291.5</oasis:entry>
         <oasis:entry colname="col4">139.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M316" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.859</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M317" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.120</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M318" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.036</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M319" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.108</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B11</oasis:entry>
         <oasis:entry colname="col2">Pequod</oasis:entry>
         <oasis:entry colname="col3">150.3</oasis:entry>
         <oasis:entry colname="col4">115.1</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.025</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.003</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M322" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.015</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.003</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2">Total B1–B11 </oasis:entry>
         <oasis:entry colname="col3">4832.9</oasis:entry>
         <oasis:entry colname="col4">2211.6</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M324" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.388</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M325" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.495</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.749</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B12</oasis:entry>
         <oasis:entry colname="col2">Rachel</oasis:entry>
         <oasis:entry colname="col3">51.8</oasis:entry>
         <oasis:entry colname="col4">38.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M327" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.046</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M328" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.002</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M329" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.006</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M330" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.002</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B13</oasis:entry>
         <oasis:entry colname="col2">Starbuck</oasis:entry>
         <oasis:entry colname="col3">299.4</oasis:entry>
         <oasis:entry colname="col4">169.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M331" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.118</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M332" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.020</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M333" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.035</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M334" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.018</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B14</oasis:entry>
         <oasis:entry colname="col2">Stubb</oasis:entry>
         <oasis:entry colname="col3">108.3</oasis:entry>
         <oasis:entry colname="col4">87.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.116</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M336" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M337" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.011</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M338" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B15</oasis:entry>
         <oasis:entry colname="col2">SCAR IS coast</oasis:entry>
         <oasis:entry colname="col3">136.8</oasis:entry>
         <oasis:entry colname="col4">102.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M339" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.184</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M340" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.019</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M341" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.014</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M342" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.017</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B16</oasis:entry>
         <oasis:entry colname="col2">Flask</oasis:entry>
         <oasis:entry colname="col3">1130.6</oasis:entry>
         <oasis:entry colname="col4">516.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M343" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.629</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M344" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.325</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.138</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M346" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.292</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B17</oasis:entry>
         <oasis:entry colname="col2">Leppard</oasis:entry>
         <oasis:entry colname="col3">1851.0</oasis:entry>
         <oasis:entry colname="col4">946.5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M347" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.243</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M348" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.230</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M349" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.219</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M350" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.207</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Total B12–B17 </oasis:entry>
         <oasis:entry colname="col3">3577.9</oasis:entry>
         <oasis:entry colname="col4">1861.4</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.597</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M352" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.423</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M353" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.537</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p id="d1e5179">Rate of surface elevation change for areas by means of TDM
DEM differencing from 2013 to 2016 for glacier basins of the Larsen B embayment.
<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is the mean rate of elevation change in the area covered by the high-resolution map (Fig. 7). The basin area refers to ice front positions
delineated in TanDEM-X images of 27 June and 1 August 2016. The rates of ice
volume change (<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) and total mass balance (<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) refer to grounded ice.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Basin name</oasis:entry>
         <oasis:entry colname="col3">Total basin</oasis:entry>
         <oasis:entry colname="col4">TDM surveyed</oasis:entry>
         <oasis:entry colname="col5">Mean <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Uncertainty</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">area (km<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">area (km<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(m a<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M365" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M366" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">(Gt a<inline-formula><mml:math id="M367" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">B1</oasis:entry>
         <oasis:entry colname="col2">West of SN</oasis:entry>
         <oasis:entry colname="col3">638.7</oasis:entry>
         <oasis:entry colname="col4">485.6</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M368" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.172</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M369" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.084</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M370" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.043</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M371" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.076</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B2</oasis:entry>
         <oasis:entry colname="col2">Hektoria Green</oasis:entry>
         <oasis:entry colname="col3">1215.7</oasis:entry>
         <oasis:entry colname="col4">552.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M372" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.092</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M373" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.708</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M374" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.099</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M375" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.538</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B3</oasis:entry>
         <oasis:entry colname="col2">Evans</oasis:entry>
         <oasis:entry colname="col3">272.3</oasis:entry>
         <oasis:entry colname="col4">165.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M376" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.494</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M377" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.238</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M378" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.021</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M379" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.214</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B4</oasis:entry>
         <oasis:entry colname="col2">Evans Headland</oasis:entry>
         <oasis:entry colname="col3">117.7</oasis:entry>
         <oasis:entry colname="col4">106.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M380" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.331</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M381" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.035</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M382" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.007</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M383" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.032</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B5</oasis:entry>
         <oasis:entry colname="col2">Punchbowl</oasis:entry>
         <oasis:entry colname="col3">119.9</oasis:entry>
         <oasis:entry colname="col4">84.2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M384" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.488</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M385" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.041</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.009</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M387" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.037</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B6</oasis:entry>
         <oasis:entry colname="col2">Jorum</oasis:entry>
         <oasis:entry colname="col3">461.4</oasis:entry>
         <oasis:entry colname="col4">111.7</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M388" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.989</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M389" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.110</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M390" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.042</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M391" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.099</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B7</oasis:entry>
         <oasis:entry colname="col2">Crane</oasis:entry>
         <oasis:entry colname="col3">1333.4</oasis:entry>
         <oasis:entry colname="col4">354.0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M392" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.753</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M393" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.247</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M394" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.120</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M395" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.222</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B8</oasis:entry>
         <oasis:entry colname="col2">Larsen B coast</oasis:entry>
         <oasis:entry colname="col3">142.6</oasis:entry>
         <oasis:entry colname="col4">96.0</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M396" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.166</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M397" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.016</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M398" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.011</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M399" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.014</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B9</oasis:entry>
         <oasis:entry colname="col2">Mapple</oasis:entry>
         <oasis:entry colname="col3">155.4</oasis:entry>
         <oasis:entry colname="col4">92.8</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M400" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.240</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M401" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.022</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M402" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.012</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M403" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.020</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B10</oasis:entry>
         <oasis:entry colname="col2">Melville</oasis:entry>
         <oasis:entry colname="col3">292.9</oasis:entry>
         <oasis:entry colname="col4">140.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M404" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.584</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.081</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M406" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.024</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M407" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.073</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B11</oasis:entry>
         <oasis:entry colname="col2">Pequod</oasis:entry>
         <oasis:entry colname="col3">150.6</oasis:entry>
         <oasis:entry colname="col4">115.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.069</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.008</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M409" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.011</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2">Total B1–B11 </oasis:entry>
         <oasis:entry colname="col3">4900.2</oasis:entry>
         <oasis:entry colname="col4">2305.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M411" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.574</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M412" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.335</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M413" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.318</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B12</oasis:entry>
         <oasis:entry colname="col2">Rachel</oasis:entry>
         <oasis:entry colname="col3">51.8</oasis:entry>
         <oasis:entry colname="col4">38.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.040</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.002</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M415" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.004</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B13</oasis:entry>
         <oasis:entry colname="col2">Starbuck</oasis:entry>
         <oasis:entry colname="col3">299.4</oasis:entry>
         <oasis:entry colname="col4">169.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.001</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M418" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.023</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B14</oasis:entry>
         <oasis:entry colname="col2">Stubb</oasis:entry>
         <oasis:entry colname="col3">108.3</oasis:entry>
         <oasis:entry colname="col4">87.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.115</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.010</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M421" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.007</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M422" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.009</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B15</oasis:entry>
         <oasis:entry colname="col2">SCAR IS coast</oasis:entry>
         <oasis:entry colname="col3">136.8</oasis:entry>
         <oasis:entry colname="col4">102.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M423" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.087</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M424" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.009</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M425" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.009</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M426" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.008</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B16</oasis:entry>
         <oasis:entry colname="col2">Flask</oasis:entry>
         <oasis:entry colname="col3">1130.6</oasis:entry>
         <oasis:entry colname="col4">516.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M427" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.604</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M428" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.312</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M429" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.092</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M430" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.281</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B17</oasis:entry>
         <oasis:entry colname="col2">Leppard</oasis:entry>
         <oasis:entry colname="col3">1851.0</oasis:entry>
         <oasis:entry colname="col4">946.5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M431" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.345</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M432" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.337</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M433" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.146</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M434" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.303</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Total B12–B17 </oasis:entry>
         <oasis:entry colname="col3">3577.9</oasis:entry>
         <oasis:entry colname="col4">1861.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M435" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.645</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M436" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.281</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M437" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.580</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p id="d1e6403"><bold>(a)</bold> Area extent of floating ice in 2013 (top) and 2016 (bottom);
<bold>(b)</bold> and <bold>(c)</bold> show the rate of surface elevation change and volume change in floating ice from 2011 to 2013
(top) and from 2013 to 2016 (bottom); (<bold>a–c</bold>) exclude the areas of
frontal advance; <bold>(d)</bold> and <bold>(e)</bold> show the extent and volume of frontal advance areas.</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"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><bold>(a)</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>(b)</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>(c)</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>(d)</bold></oasis:entry>
         <oasis:entry colname="col7"><bold>(e)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Basin name</oasis:entry>
         <oasis:entry colname="col3">Floating area</oasis:entry>
         <oasis:entry colname="col4">Mean <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Mean <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Advance area</oasis:entry>
         <oasis:entry colname="col7">Volume</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(m a<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(km<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(km<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(km<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">2011–2013 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B2</oasis:entry>
         <oasis:entry colname="col2">HG</oasis:entry>
         <oasis:entry colname="col3">19.81</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M446" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.920</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M447" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.308</oasis:entry>
         <oasis:entry colname="col6">31.65</oasis:entry>
         <oasis:entry colname="col7">11.676</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B3</oasis:entry>
         <oasis:entry colname="col2">Evans</oasis:entry>
         <oasis:entry colname="col3">5.55</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M448" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.264</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M449" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.057</oasis:entry>
         <oasis:entry colname="col6">3.66</oasis:entry>
         <oasis:entry colname="col7">0.807</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B6</oasis:entry>
         <oasis:entry colname="col2">Jorum</oasis:entry>
         <oasis:entry colname="col3">0.40</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.510</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.011</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.54</oasis:entry>
         <oasis:entry colname="col7">0.134</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">B7</oasis:entry>
         <oasis:entry colname="col2">Crane</oasis:entry>
         <oasis:entry colname="col3">2.01</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.770</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.061</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">4.96</oasis:entry>
         <oasis:entry colname="col7">2.164</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">2013–2016 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B2</oasis:entry>
         <oasis:entry colname="col2">HG</oasis:entry>
         <oasis:entry colname="col3">62.09</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M454" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.002</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M455" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001</oasis:entry>
         <oasis:entry colname="col6">47.96</oasis:entry>
         <oasis:entry colname="col7">11.270</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B3</oasis:entry>
         <oasis:entry colname="col2">Evans</oasis:entry>
         <oasis:entry colname="col3">14.56</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M456" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.652</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M457" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.077</oasis:entry>
         <oasis:entry colname="col6">5.39</oasis:entry>
         <oasis:entry colname="col7">0.931</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B6</oasis:entry>
         <oasis:entry colname="col2">Jorum</oasis:entry>
         <oasis:entry colname="col3">1.15</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.305</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.003</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.78</oasis:entry>
         <oasis:entry colname="col7">0.165</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B7</oasis:entry>
         <oasis:entry colname="col2">Crane</oasis:entry>
         <oasis:entry colname="col3">7.99</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M460" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.620</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M461" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.169</oasis:entry>
         <oasis:entry colname="col6">10.54</oasis:entry>
         <oasis:entry colname="col7">3.301</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B10</oasis:entry>
         <oasis:entry colname="col2">Melville</oasis:entry>
         <oasis:entry colname="col3">0.88</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M462" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.966</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M463" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.007</oasis:entry>
         <oasis:entry colname="col6">1.20</oasis:entry>
         <oasis:entry colname="col7">0.219</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Elevation change and mass balance of the Larsen B glaciers</title>
<sec id="Ch1.S4.SS1">
  <title>Elevation change and mass balance by DEM differencing</title>
      <p id="d1e6985">The map of surface elevation change <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> for the glacier
basins discharging into the Larsen B embayment and Scar Inlet ice shelf is
shown in Fig. 6 for the period May–June 2011 to June–July 2013 and in Fig. 7
for June–July 2013 to July–August 2016. The numbers on elevation change,
volume change and mass balance, referring to grounded ice, are specified in
Table 4 for 2011 to 2013 and in Table 5 for 2013 to 2016.</p>
      <p id="d1e7004">The SEC analysis shows large spatial and temporal differences in mass
depletion between individual glaciers. The overall mass deficit of the Larsen
B region is dominated by glaciers draining into the embayment where the ice
shelf broke away in 2003 (basins B1 to B11). The annual mass balance of the
glaciers draining into the Scar Inlet ice shelf (basins B12 to B17) was slightly
negative in both periods: <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M466" 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> from 2011 to
2013 and <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M468" 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> from 2013 to 2016. The small
glaciers (B12 to B15) were in a balanced state (Tables 4 and 5, Figs. 6 and 7).
The mass deficit of the Flask and Leppard glaciers can be attributed to flow
acceleration and increased ice export after break-up of the main section of
the Larsen B ice shelf (Wuite et al., 2015).</p>
      <p id="d1e7065">In 2011 to 2013 the total annual net mass balance of basins B1 to B11
amounted to <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.75</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M470" 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>, with the mass deficit dominated by the
Hektoria and Green (HG) glaciers (<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.88</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, followed
by Crane Glacier (<inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The mass losses of the
Evans and Jorum glaciers and of basin B1 (north-east of Hektoria Glacier) were
also substantial, whereas the mass deficit of the other glaciers was modest.
During the period 2013 to 2016 the annual mass deficit of the glacier
ensemble was cut by more than half (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.32</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
compared to 2011 to 2013, with HG again dominating the loss (<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.54</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The decrease in mass depletion was also significant
for other glaciers. For Crane Glacier the 2013 to 2016 losses (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> correspond to only 18 % of the estimated balance
flux (Rott et al., 2011). This results in a large change after 2007 with <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.87</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M482" 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> (Wuite et al., 2015).</p>
      <p id="d1e7281">The decline of mass depletion coincided with a period of permanent cover by
ice mélange and sea ice in the proglacial<?pagebreak page1283?> fjords and bays, starting in
autumn/winter 2011. Several summers before, including the summer of 2010–2011,
the sea ice in front of the glaciers drifted away and led to several
weeks with open water. In the years thereafter the continuous sea ice
cover obstructed the detachment of frontal ice and facilitated frontal
advance. The maximum terminus advance was observed for HG glaciers, resulting
in an increase in glacier area of 31.6 km<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> from 2011 to 2013 and
48.0 km<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> from 2013 to 2016 (Table 6).</p>
      <p id="d1e7303">Due to a significant decrease in ice thickness the floating area on Hektoria
and Green glaciers increased significantly after 2011, covering
an area of 19.8 km<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> inland of the 2011 ice front in June 2013 and an
area of 62.1 km<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> inland of the 2013 ice front in June 2016 in addition to the
frontal advance areas, where the ice was almost completely ungrounded. Areas
of floating ice, covering several square kilometres in area, were observed on Evans
Glacier and Crane Glacier. The areas of frontal advance showed a similar
temporal trend, with an increase from 3.7 km<inline-formula><mml:math id="M487" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> between 2011 and 2013 to
5.4 km<inline-formula><mml:math id="M488" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> between 2013 and 2016 for Evans Glacier and 5.0 to
10.5 km<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for Crane Glacier.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p id="d1e7353">Rate of glacier surface elevation change <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (in
m a<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from 2011 to 2013 and from 2013 to 2016 versus altitude in 50 m intervals
for basins B2, B6, B7 and B10. Green line: hypsometry of surveyed glacier
area in km<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f08.jpg"/>

        </fig>

      <p id="d1e7402">Figure 8 shows the altitude dependence of elevation change
(<inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>h</mml:mi><mml:mo>/</mml:mo><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) for four basins with large mass deficits. The largest
drawdown rate (19.5 m a<inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was observed on HG glaciers in the
elevation zone 200 to 300 m a.s.l. from 2011 to 2013, with substantial
drawdown up to the 1000 m elevation zone. On Jorum Glacier the area affected
by surface lowering extended up to 700 m elevation, with a maximum rate of
5 m a<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The drawdown pattern of Crane Glacier is different, with the
zone of the largest 2011 to 2013 drawdown rates (4.5 m a<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> commencing
about 30 km inland of the front, extending across the elevation zone
from 500 to 850 m a.s.l., and abating and shifting further upstream in 2013 to 2016. Scambos et al.
(2011) observed an anomalous drawdown pattern on the Crane terminus during
the first few years after ice shelf collapse, which was very likely associated with
drainage of a subglacial lake.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Flow velocities, calving fluxes and mass balance using the mass budget
method</title>
      <p id="d1e7469">Figure 9 shows maps of surface velocities in 2011 and 2016 and a map of the
differences in velocity between October–November 1995 and 2016. Insets show
differences in velocity between 2011 and 2016 for HG and Crane glaciers. Gaps
in the 2011 TerraSAR-X/TanDEM-X velocity map are filled up with PALSAR data
and in the 2016 map with Sentinel-1 data. The 1995 velocity map used as
reference for pre-collapse conditions was derived from ERS 1-day
interferometric repeat-pass data. The ERS data show very little difference
between 1995 and 1999 flow velocities, suggesting that the glaciers were
close to a balanced state during those years (Rott et al, 2011). In 2016 the
velocities of the main<?pagebreak page1284?> glaciers were still higher than in 1995 but have
slowed down significantly since 2011.</p>
      <p id="d1e7472">The temporal evolution of the Larsen B glaciers between 1995 and 2013 is
described in detail by Wuite et al. (2015), showing velocity maps for 1995
and 2008–2012 and time series of velocities along central flow lines of eight
glaciers between 1995 and 2013. Furthermore, here we report velocity changes
since 2013 and provide details on velocities of HG and Crane glaciers in
recent years, including a diagram of velocities across the flux gates on
different dates (Fig. 10).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e7477">Magnitude of ice velocity (m d<inline-formula><mml:math id="M497" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in 2011 <bold>(a)</bold> and 2016 <bold>(b)</bold>
derived from TerraSAR-X and TanDEM-X data. Gaps in 2011 are filled with PALSAR
data and in 2016 they are filled with Sentinel-1 data. <bold>(c)</bold> Map of velocity
difference between 2016 and 1995. Insets: velocity difference between 2016 and 2011 for
HG and Crane glaciers.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f09.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e7510">Surface velocity across the flux gate of Hektoria
Glacier and Crane Glacier on different dates (month/year) between 1995 and
2016.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/1273/2018/tc-12-1273-2018-f10.png"/>

        </fig>

      <p id="d1e7519">Flask and Leppard glaciers, discharging into the Scar Inlet ice shelf, and the
small glaciers of the main Larsen B<?pagebreak page1285?> embayment (B4, B5, B8 to B11) showed only
small variations in velocity after 2011, though in 2016 the velocities of
these glaciers were still higher than during the pre-collapse period. The
main glaciers were subject to significant slowdown. On Crane Glacier the
velocity in the centre of the flux gate decreased from a value of
6.8 m d<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in July 2007 to 3.9 m d<inline-formula><mml:math id="M499" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in September 2011,
2.9 m d<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in November 2013 and 2.4 m d<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in October 2016, which is still
50 % higher than the velocities in 1995 and 1999. Because of major
glacier thinning, the cross section of the flux gate decreased significantly,
so that the calving flux amounted in mid-2016 to 1.39 Gt a<inline-formula><mml:math id="M502" 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>, only
20 % larger than in 1995 to 1999. Since 2007 the drawdown rate of Crane
Glacier has decreased steadily from a mass balance of <inline-formula><mml:math id="M503" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.87 Gt a<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
June 2007 to <inline-formula><mml:math id="M505" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23 Gt a<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in November 2016. Also, on Jorum Glacier
the calving velocity has decreased gradually since 2007; from 2013 to 2016 the
glacier was close to a balanced state. In contrast, in 2011 to 2016 the velocity at the
flux gate of Melville Glacier was only 5 % lower than in
2008, 2.6 times higher than the pre-collapse velocity reported by Rott et
al. (2011). This agrees with the negative mass balance by TDM SEC analysis.
However, the mass deficit is small in absolute terms because of the modest
mass turnover.</p>
      <p id="d1e7621">The velocities of the Hektoria and Green glaciers have been subject to
significant variation since 2002, associated with major frontal retreat but
also with intermittent periods of frontal advance (Wuite et al., 2015). Between
November 2008 and November 2009 the velocity in the centre of the Hektoria
flux gate increased from 1.7 to 2.8 m d<inline-formula><mml:math id="M507" 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>, slowed down slightly during
2010 and accelerated again in 2011 to reach a value of 4.2 m d<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
November 2011, followed by deceleration to 3.5 m d<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in March 2012,
2.0 m d<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in July 2013 and 1.4 m d<inline-formula><mml:math id="M511" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in June 2016 (Fig. 10).
Similar deceleration was observed for Green Glacier, from 4.6 m d<inline-formula><mml:math id="M512" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
November 2011 to 2.8 m d<inline-formula><mml:math id="M513" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in July 2013 and 2.0 m d<inline-formula><mml:math id="M514" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in June 2016.</p>
      <?pagebreak page1286?><p id="d1e7721">The slowdown and frontal advance of the Larsen B calving glaciers coincided with
a period of continuous cover by ice mélange and sea ice in the proglacial
fjords after mid-2011, indicating significant impact of pre-frontal marine
conditions on ice flow (Fig. S4). We tracked detached ice blocks close to
glacier fronts to estimate the order of magnitude of motion. Typical values
for 2013 to 2016 pre-frontal displacements are 6.1 km for Crane Glacier,
2.7 km for Melville Glacier, 2.5 km for Jorum Glacier and 0.9 km for
Mapple Glacier. This corresponds to about twice the flux gate velocity for
Crane Glacier and about 5 times for Melville Glacier. The 2013 to 2016
displacement of ice blocks in front of HG glaciers (4.5 km for Green,
3.9 km for Hektoria) exceeded only slightly the distance of frontal advance.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><caption><p id="d1e7727">Mean specific surface mass balance (<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in 2011–2016, annual
surface mass balance (SMB) and calving flux (CF) in 2011–2013 and 2013–2016 and resulting mass balance (MB) in Gt a<inline-formula><mml:math id="M516" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for Larsen B glaciers.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Glacier</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> 2011–2016</oasis:entry>
         <oasis:entry colname="col4">SMB 2011–</oasis:entry>
         <oasis:entry colname="col5">SMB 2013–</oasis:entry>
         <oasis:entry colname="col6">CF 2011–</oasis:entry>
         <oasis:entry colname="col7">CF 2013–</oasis:entry>
         <oasis:entry colname="col8">MB 2011–</oasis:entry>
         <oasis:entry colname="col9">MB 2013–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"> kg m<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> a<inline-formula><mml:math id="M519" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2013 Gt a<inline-formula><mml:math id="M520" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2016 Gt a<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">2013 Gt a<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">2016 Gt a<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">2013 Gt a<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">2016 Gt a<inline-formula><mml:math id="M525" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">B2</oasis:entry>
         <oasis:entry colname="col2">HG</oasis:entry>
         <oasis:entry colname="col3">1400</oasis:entry>
         <oasis:entry colname="col4">1.563</oasis:entry>
         <oasis:entry colname="col5">1.644</oasis:entry>
         <oasis:entry colname="col6">5.733</oasis:entry>
         <oasis:entry colname="col7">3.389</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M526" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.170 <inline-formula><mml:math id="M527" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.936</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M528" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.745 <inline-formula><mml:math id="M529" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.590</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B3</oasis:entry>
         <oasis:entry colname="col2">Evans</oasis:entry>
         <oasis:entry colname="col3">562</oasis:entry>
         <oasis:entry colname="col4">0.137</oasis:entry>
         <oasis:entry colname="col5">0.156</oasis:entry>
         <oasis:entry colname="col6">0.389</oasis:entry>
         <oasis:entry colname="col7">0.304</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M530" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.252 <inline-formula><mml:math id="M531" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.065</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M532" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.148 <inline-formula><mml:math id="M533" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.053</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B6</oasis:entry>
         <oasis:entry colname="col2">Jorum</oasis:entry>
         <oasis:entry colname="col3">884</oasis:entry>
         <oasis:entry colname="col4">0.376</oasis:entry>
         <oasis:entry colname="col5">0.427</oasis:entry>
         <oasis:entry colname="col6">0.457</oasis:entry>
         <oasis:entry colname="col7">0.361</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M534" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.081 <inline-formula><mml:math id="M535" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.092</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.066</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.86</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B7</oasis:entry>
         <oasis:entry colname="col2">Crane</oasis:entry>
         <oasis:entry colname="col3">837</oasis:entry>
         <oasis:entry colname="col4">1.023</oasis:entry>
         <oasis:entry colname="col5">1.159</oasis:entry>
         <oasis:entry colname="col6">2.093</oasis:entry>
         <oasis:entry colname="col7">1.565</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M537" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.070 <inline-formula><mml:math id="M538" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.280</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M539" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.406 <inline-formula><mml:math id="M540" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.247</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B10</oasis:entry>
         <oasis:entry colname="col2">Melville</oasis:entry>
         <oasis:entry colname="col3">330</oasis:entry>
         <oasis:entry colname="col4">0.091</oasis:entry>
         <oasis:entry colname="col5">0.100</oasis:entry>
         <oasis:entry colname="col6">0.146</oasis:entry>
         <oasis:entry colname="col7">0.144</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M541" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.055 <inline-formula><mml:math id="M542" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.021</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M543" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.044 <inline-formula><mml:math id="M544" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.022</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B13</oasis:entry>
         <oasis:entry colname="col2">Starbuck</oasis:entry>
         <oasis:entry colname="col3">287</oasis:entry>
         <oasis:entry colname="col4">0.078</oasis:entry>
         <oasis:entry colname="col5">0.091</oasis:entry>
         <oasis:entry colname="col6">0.067</oasis:entry>
         <oasis:entry colname="col7">0.068</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.011</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.014</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.023</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.016</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B16</oasis:entry>
         <oasis:entry colname="col2">Flask</oasis:entry>
         <oasis:entry colname="col3">693</oasis:entry>
         <oasis:entry colname="col4">0.722</oasis:entry>
         <oasis:entry colname="col5">0.824</oasis:entry>
         <oasis:entry colname="col6">1.085</oasis:entry>
         <oasis:entry colname="col7">1.118</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M547" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.363 <inline-formula><mml:math id="M548" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.163</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M549" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.294 <inline-formula><mml:math id="M550" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.176</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B17</oasis:entry>
         <oasis:entry colname="col2">Leppard</oasis:entry>
         <oasis:entry colname="col3">500</oasis:entry>
         <oasis:entry colname="col4">0.874</oasis:entry>
         <oasis:entry colname="col5">0.961</oasis:entry>
         <oasis:entry colname="col6">1.760</oasis:entry>
         <oasis:entry colname="col7">1.780</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M551" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.886 <inline-formula><mml:math id="M552" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.237</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M553" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.819 <inline-formula><mml:math id="M554" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.246</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e8400">The comparisons of mass balance by MBM (Table 7) and SEC show good
agreement overall as well as for most of the individual basins. The combined 2011 to
2013 annual mass balance of the five basins discharging into the main Larsen
B embayment (B2, B3, B6, B7, B10) is <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.26</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M556" 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> by TDM SEC and
<inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.63</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M558" 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> by MBM, and for 2013 to 2016 <inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.15</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M560" 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> by
TDM SEC and <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.28</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M562" 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> by MBM. The SEC mass balance in this
comparison also includes the volume change in the floating glacier sections
(Table 6). Also, for Starbuck and Flask glaciers (B13, B16) the mass balance
values of the two methods agree well. The only basin where the difference
between the two methods exceeds the estimated uncertainty is Leppard Glacier
(B17), where MBM (<inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M564" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.82</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M566" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the two periods) shows higher losses than SEC
(<inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M568" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.
The SEC retrievals of the basins B3, B7, B10, B13, B16, which show good
agreement between SEC and MBM mass balance, are based on data from the same TDM
track as B17. Therefore it can be concluded that the difference in MB of
Leppard Glacier is probably due to a bias in SMB, in the cross
section of the flux gate or in both. The specific surface mass balance
(Table 7) for the adjoining Flask Glacier is 39 % higher than for Leppard
Glacier.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
      <p id="d1e8620">The main outlet glaciers in the northern sections of the Larsen ice shelf that
disintegrated in 1995 (Prince Gustav Channel and Larsen A ice shelves,
PGC–LA) and in 2002 (the main section of the Larsen B ice shelf) are still losing
mass due to dynamic thinning. The losses are caused by accelerated ice flow
tracing back to the reduction of back stress after ice shelf break-up,
triggering dynamic instabilities (Rott<?pagebreak page1287?> et al., 2002, 2011; Scambos et al.,
2004; Wuite et al., 2015; De Rydt et al., 2015; Royston and Gudmundsson,
2016).</p>
      <p id="d1e8623">On the outlet glaciers to PGC–LA (basins A1 to A7) the rate of mass depletion
of grounded ice decreased by 40 % from the period 2011 to 2013
(<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to the period 2013 to 2016
(<inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.38</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The mass deficit of the area
was dominated by losses at Drygalski Glacier, with an annual mass balance of
<inline-formula><mml:math id="M575" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.18 Gt a<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2011 to 2013 and <inline-formula><mml:math id="M577" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.72 Gt a<inline-formula><mml:math id="M578" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2013 to
2016. Scambos et al. (2014) report a mass balance of
<inline-formula><mml:math id="M579" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.67 Gt a<inline-formula><mml:math id="M580" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for glacier basins 21 to 25 for 2001 to 2008, corresponding
approximately to our basins A1 to A7. On Drygalski Glacier the 2003 to 2008
annual mass balance (<inline-formula><mml:math id="M581" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2.39 Gt a<inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by Scambos et al. (2014) was only
9 % lower than our estimate for 2011 to 2013. On the other glaciers of
PGC and Larsen A embayment, the slowdown of calving velocities and decrease
in calving fluxes during the last decade was more pronounced.</p>
      <p id="d1e8779">On the outlet glaciers to the Larsen B embayment (basins B1 to B11) the rate of
mass depletion for grounded ice decreased by 60 % (<inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M584" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45 Gt a<inline-formula><mml:math id="M585" 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> from 2011 to 2013, <inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.32</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M587" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25  Gt a<inline-formula><mml:math id="M588" 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> from 2013 to 2016). Hektoria and Green
glaciers accounted for the bulk of the mass deficit
(<inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.88</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M590" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.54</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in both periods.
High drawdown rates were observed on HG glaciers from 2011 to 2013, with
the maximum value (19.5 m a<inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the elevation zone from 200 to
300 m a.s.l. Our basins B1 to B11 correspond to the basins 26a and 27 to
31a of Scambos et al. (2014). Based on ICESat data spanning September 2003 to
March 2008 and optical stereo image DEMs acquired between November 2001 to
November 2006, Scambos et al. (2014) report an annual mass
balance of <inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.39</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M595" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for these basins, excluding ice lost by frontal retreat. Our
rate of mass loss for 2011 to 2013 amounts to 69 % of this value, and for
2013 to 2016 to 36 %, a similar percentage decrease in mass losses as for
the PGC–LA basins. After ice shelf break-up in March 2002 the glacier flow
accelerated rapidly, causing a large increase in calving fluxes during the
first years after the Larsen B collapse, whereas on most glaciers the calving
velocities slowed down significantly after 2007 (Scambos et al., 2004, 2011;
Rott et al., 2011; Shuman et al., 2011; Wuite at al., 2015). An exception is
basin B2 (HG glaciers) for which the 2011 to 2013 loss rate was 2 %
higher than the value (<inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.82</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> reported by
Scambos et al. (2014) for 2001 to 2008.</p>
      <p id="d1e8986">The drawdown pattern on the main glaciers shows high elevation loss rates
for grounded ice shortly upstream of the glacier front or upstream of the
floating glacier section, and abating loss rates towards higher elevations.
This is the typical loss pattern for changes in the stress state at the
downstream end of a glacier as a response to the loss of terminal floating ice
(Hulbe et al., 2008). The elevation change pattern in recent years is
different on Crane Glacier, where elevation decline and thinning migrated
upglacier from 2011 to 2016, an indication for upstream-propagating
disturbances (Pfeffer, 2007). Both patterns indicate that the glaciers are
still far from a state of equilibrium, so dynamic thinning will continue for
years.</p>
      <p id="d1e8990">We compiled surface motion and calving fluxes for the main glaciers of the study
region and derived the surface mass balance from the output of the regional
atmospheric climate model RACMO. These data enable individual
components of the mass balance to be compared. Whereas the SMB between the periods 2011 to
2013 and 2013 to 2016 differed only by few percent, the calving fluxes
decreased significantly due to slowdown of ice motion, confirming that the
mass losses were of dynamic origin, an aftermath to changes in the stress
regime after ice shelf collapse.</p>
      <?pagebreak page1288?><p id="d1e8993">The terminus velocities on most glaciers are still higher than during the
pre-collapse period. After rapid flow acceleration during the first years
after ice shelf break-up there has been a general trend of deceleration
afterwards, but with distinct differences in the temporal pattern between
individual glaciers. Glaciers with broad calving fronts show larger temporal
variability of velocities and calving fluxes than glaciers with a small
width-to-length ratio. In the Larsen A embayment the Drygalski Glacier has been
subject to major variations in flow velocity and calving flux during the last
decade. In 2007 to 2009 the velocity in the centre of the flux gate varied
between 5.5 and 6 m d<inline-formula><mml:math id="M598" 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>, increased to 8 m d<inline-formula><mml:math id="M599" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2011 and 2012 and decreased to 6.0 m d<inline-formula><mml:math id="M600" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in July 2016, which is still 4 times higher than
the velocity in 1993. In the Larsen B embayment Hektoria and Green glaciers
showed large temporal fluctuation in velocity and a general trend of frontal
retreat, but also sporadic periods of frontal advance. A major intermittent
acceleration event, starting in 2010, was responsible for a large mass
deficit in 2011 to 2013.</p>
      <p id="d1e9032">Regarding the Scar Inlet ice shelf tributaries, the small glaciers (basin B12
to B15) were approximately in a balanced state, whereas Flask (B16) and Leppard
(B17) glaciers showed a moderate mass deficit. The total mass balance of the
Scar Inlet glaciers, based on TDM SEC analysis, was
<inline-formula><mml:math id="M601" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M602" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38 Gt a<inline-formula><mml:math id="M603" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2011 to 2013 and
<inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M605" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38 Gt a<inline-formula><mml:math id="M606" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2013 to 2016. As for the calving
glaciers to the Larsen A and B embayments, the mass balance was less negative
than during the period 2001 to 2008 (<inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.37</mml:mn></mml:mrow></mml:math></inline-formula> Gt a<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
reported by Scambos et al. (2014).</p>
      <p id="d1e9126">The slowdown of flow velocities and decline in mass depletion between 2011
and 2016 coincided with periods of continuous coverage by ice mélange (a
mixture of icebergs and bergy bits, held together by sea ice) and sea ice in
the proglacial fjords and bays. After several summers with open water
(excluding summer 2009–2010), a period of permanent coverage by ice mélange
and sea ice commenced in the Larsen B embayment in winter 2011 and in PGC and
Larsen A embayment in winter 2013. Observations and modelling of seasonal
advance and retreat of calving fronts of Greenland outlet glaciers indicate
that the buttressing pressure from rigid ice mélange is principally
responsible for the seasonal variations (Walter et al., 2012; Todd and
Christofferson, 2014; Amundson et al., 2016). Whereas for Greenland outlet
glaciers ice mélange usually breaks up in spring, coinciding with ice
flow acceleration and increased calving, the observations in the Larsen A and
B embayments show persisting ice mélange and sea ice cover over multiyear
periods. The cold water of the surface mixed layer in the western Weddell Sea
favours sea ice formation and the persistence of sea ice during summer.</p>
      <p id="d1e9129">The sea ice cover impeded glacier calving, as apparent in frontal advance of
several glaciers. Large frontal advance was observed for HG glaciers
(<inline-formula><mml:math id="M609" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 3.2 km from 2011 to 2013 and <inline-formula><mml:math id="M610" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3.8 km from 2013 to
2016) and Crane Glacier (<inline-formula><mml:math id="M611" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.2 km from 2011 to 2013 and
<inline-formula><mml:math id="M612" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 km from 2013 to 2016). The front of Bombardier–Edgeworth
glaciers advanced between 2013 and 2016 by 1.5 km and the front of
Sjögren Glacier by 0.5 km. The continuous sea ice cover and restricted
movement of ice calving from glaciers contrasts with the rapid movement
of icebergs during the first few days after the Larsen A and B collapse, drifting
away by up to 20 km per day due to strong downslope winds and local ocean
currents (Rott et al., 1996; Rack and Rott 2004). For 2006 to 2015 a modest
trend of atmospheric cooling was observed in the study region, in particular
in summer (Turner et al., 2016; Oliva et al., 2017). However, this feature
does not fully explain the striking difference in sea ice pattern and ice
drift. Changes in regional atmospheric circulation patterns affecting the
frequency and intensity of downslope foehn events play a main role in the
presence of sea ice and the variability of melt patterns (Cape et al., 2015).
Clem at al. (2016) show that the interannual variability of north-east
peninsula temperatures is primarily sensitive to zonal wind anomalies and
resultant leeside adiabatic warming. After 1999 changes in cyclonic
conditions in the northern Weddell Sea resulted in a higher frequency of
east to south-easterly winds, increasing the advection of sea ice towards the
east coast of the Antarctic Peninsula (Turner at al., 2016). Superimposed on
these regional patterns in atmospheric circulation are local differences in
the relationship between melting and foehn winds causing a comparatively high
degree of spatial variability in the melt pattern (Leeson et al.,
2017). The break-up patterns of sea
ice in summer 2017 show local differences. Sjögren fjord and the
main section of the Larsen A embayment were clear of sea ice, whereas ice
mélange and sea ice persisted in Larsen Inlet, the inlet in front of the DBE
glaciers and in the Larsen B embayment.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e9166">The analysis of surface elevation change by DEM differencing over the periods
2011 to 2013 and 2013 to 2016 shows continuing drawdown and major losses in
ice mass for outlet glaciers to Prince Gustav Channel and the Larsen A and B
embayments. During the observation period 2011 to 2016 there was a general
trend of decreasing mass depletion, induced by slowdown of calving velocities
resulting in reduced calving fluxes. For several glaciers frontal advance was
observed in spite of ongoing elevation losses upstream. The mass balance
numbers for the glaciers north of Seal Nunataks are
<inline-formula><mml:math id="M613" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.98 <inline-formula><mml:math id="M614" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33 Gt a<inline-formula><mml:math id="M615" 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> from 2011 to 2013 and
<inline-formula><mml:math id="M616" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.38 <inline-formula><mml:math id="M617" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 Gt a<inline-formula><mml:math id="M618" 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> from 2013 to 2016. The corresponding
numbers for glaciers calving into the Larsen B embayment for the two periods
are <inline-formula><mml:math id="M619" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.75 <inline-formula><mml:math id="M620" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45 and <inline-formula><mml:math id="M621" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.32 <inline-formula><mml:math id="M622" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25 Gt a<inline-formula><mml:math id="M623" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. For the
glacier discharge into the Scar Inlet ice shelf the losses were modest.</p>
      <p id="d1e9262">The period of decreasing flow velocities and frontal advance coincides with
several years in which ice mélange and sea ice cover persisted in proglacial
fjords during summer. Considering the ongoing mass depletion of the main
glaciers and the increase in ungrounded glacier area due to thinning, we
expect a recurrence of periods with frontal retreat and increasing calving
fluxes, in particular for those glaciers that showed major temporal
variations in ice flow during the last several years. In the Larsen A embayment
large fluctuations in velocity were observed for Drygalski Glacier and in
the Larsen B embayment for the Hektoria and Green glaciers. These are the glaciers
with the main share in the overall mass loss of the region: Drygalski Glacier
contributed 61 % to the 2011 to 2016 mass deficit of the Larsen A/PGC
outlet glaciers, and HG glaciers accounted for 67 % of the mass deficit
of the Larsen B glaciers. On HG glaciers the ice flow<?pagebreak page1289?> accelerated
significantly in 2010–2011, triggering elevation losses up to
19.5 m a<inline-formula><mml:math id="M624" 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> on the lower terminus during the period 2011 to 2013. HG
glaciers have a joint broad calving front and the frontal sections are
ungrounded, thus are more vulnerable to changes in atmospheric and oceanic
boundary conditions than glaciers that are confined in narrow valleys.</p>
      <p id="d1e9277">Complementary to DEM differencing, we applied the mass budget method to
derive the mass balance of the main glaciers. The mass balance numbers of
these two independent methods show good agreement, affirming the soundness of
the reported results. The agreement also backs up the reliability of the
RACMO SMB data. A strong indicator of the high quality of the TDM SEC
products is the good agreement with 2011–2016 SEC data measured by the
airborne laser scanner of NASA IceBridge. Both data sets were independently
processed. The agreement indicates that SAR signal penetration does not
affect the retrieval of surface elevation change on glaciers by InSAR DEM
differencing if repeat observation data are acquired over snow/ice media with
stable backscatter properties under the same observation geometry.</p>
</sec>

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

      <p id="d1e9284">Digital data on coastlines, surface velocities
and surface elevation change of Larsen A and B glaciers, 2011 to
2016, are available at <uri>http://cryoportal.enveo.at/data/samba/</uri> (Rott et al., 2018).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e9290">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-12-1273-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-12-1273-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p id="d1e9299">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e9305">We wish to thank Alison Cook (Univ.
Swansea, UK) for providing outlines of glacier basins. The work was supported
by the European Space Agency, ESA contract no. 4000115896/15/I-LG, High
Resolution SAR Algorithms for Mass Balance and Dynamics of Calving Glaciers
(SAMBA).</p><p id="d1e9307">The TerraSAR-X data and TanDEM-X data were made available by DLR through the
projects HYD1864, XTI_GLAC1864, XTI_ GLAC6809 and DEM_GLA1059. Sentinel- 1
data were obtained through the ESA Sentinel Scientific Data Hub, ALOS PALSAR
data through the ESA ALDEN AOALO 3741 project. Landsat 8 images, available at
USGS Earth Explorer, were downloaded via a Libra browser. The IceBridge ATM L4
Surface Elevation Rate of Change and IceBridge MCoRDS Ice Thickness version
V001 data were downloaded from the NASA Distributed Active Archive Center, US
National Snow and Ice Data Center (NSIDC), Boulder, Colorado.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Christian Haas<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
    <title>References</title>

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    <!--<article-title-html>Changing pattern of ice flow and mass balance for glaciers discharging into the Larsen A and B embayments, Antarctic Peninsula, 2011 to 2016</article-title-html>
<abstract-html><p>We analysed volume change and mass balance of outlet glaciers on the northern
Antarctic Peninsula over the periods 2011 to 2013 and 2013 to 2016, using
high-resolution topographic data from the bistatic interferometric radar
satellite mission TanDEM-X. Complementary to the geodetic method that applies DEM
differencing, we computed the net mass balance of the main outlet glaciers
using the mass budget method, accounting for the difference between the surface
mass balance (SMB) and the discharge of ice into an ocean or ice shelf. The
SMB values are based on output of the regional climate model RACMO version
2.3p2. To study glacier flow and retrieve ice discharge we generated
time series of ice velocity from data from different satellite radar sensors,
with radar images of the satellites TerraSAR-X and TanDEM-X as the main source.
The study area comprises tributaries to the Larsen A, Larsen Inlet and
Prince Gustav Channel embayments (region A), the glaciers calving into the Larsen B embayment (region B) and the glaciers draining into the remnant part of
the Larsen B ice shelf in Scar Inlet (region C). The glaciers of region A, where
the buttressing ice shelf disintegrated in 1995, and of region B (ice shelf
break-up in 2002) show continuing losses in ice mass, with significant
reduction of losses after 2013. The mass balance numbers for the grounded
glacier area of region A are −3.98&thinsp;±&thinsp;0.33&thinsp;Gt&thinsp;a<sup>−1</sup> from
2011 to 2013 and −2.38&thinsp;±&thinsp;0.18&thinsp;Gt&thinsp;a<sup>−1</sup> from 2013 to 2016. The
corresponding numbers for region B are −5.75&thinsp;±&thinsp;0.45 and
−2.32&thinsp;±&thinsp;0.25&thinsp;Gt&thinsp;a<sup>−1</sup>. The mass balance in region C during the
two periods was slightly negative, at −0.54&thinsp;±&thinsp;0.38&thinsp;Gt&thinsp;a<sup>−1</sup>
and −0.58&thinsp;±&thinsp;0.25&thinsp;Gt&thinsp;a<sup>−1</sup>. The main share in the
overall mass losses of the region was contributed by two glaciers: Drygalski
Glacier contributing 61&thinsp;% to the mass deficit of region A, and Hektoria
and Green glaciers accounting for 67&thinsp;% to the mass deficit of region B.
Hektoria and Green glaciers accelerated significantly in 2010–2011,
triggering elevation losses up to 19.5&thinsp;m&thinsp;a<sup>−1</sup> on the lower terminus
during the period 2011 to 2013 and resulting in a mass balance of
−3.88&thinsp;Gt&thinsp;a<sup>−1</sup>. Slowdown of calving velocities and reduced calving
fluxes in 2013 to 2016 coincided with years in which ice mélange and sea ice
cover persisted in proglacial fjords and bays during summer.</p></abstract-html>
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