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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-15-5785-2021</article-id><title-group><article-title>Automated mapping of the seasonal evolution of surface meltwater and its links to climate on the Amery Ice Shelf, Antarctica</article-title><alt-title>Automated mapping of the seasonal evolution of surface meltwater</alt-title>
      </title-group><?xmltex \runningtitle{Automated mapping of the seasonal evolution of surface meltwater}?><?xmltex \runningauthor{P. A. Tuckett et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Tuckett</surname><given-names>Peter A.</given-names></name>
          <email>patuckett1@sheffield.ac.uk</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ely</surname><given-names>Jeremy C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4007-1500</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sole</surname><given-names>Andrew J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5290-8967</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lea</surname><given-names>James M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1885-0858</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Livingstone</surname><given-names>Stephen J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7240-5037</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jones</surname><given-names>Julie M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>van Wessem</surname><given-names>J. Melchior</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3221-791X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geography, University of Sheffield, Sheffield, S3 7ND, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geography, University of Liverpool, Liverpool, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Marine and Atmospheric Research, Utrecht University,
Utrecht, the Netherlands</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Peter A. Tuckett (patuckett1@sheffield.ac.uk)</corresp></author-notes><pub-date><day>22</day><month>December</month><year>2021</year></pub-date>
      
      <volume>15</volume>
      <issue>12</issue>
      <fpage>5785</fpage><lpage>5804</lpage>
      <history>
        <date date-type="received"><day>11</day><month>June</month><year>2021</year></date>
           <date date-type="rev-request"><day>13</day><month>July</month><year>2021</year></date>
           <date date-type="rev-recd"><day>10</day><month>November</month><year>2021</year></date>
           <date date-type="accepted"><day>19</day><month>November</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Peter A. Tuckett et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021.html">This article is available from https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e149">Surface meltwater is widespread around the Antarctic Ice
Sheet margin and has the potential to influence ice shelf stability, ice
flow and ice–albedo feedbacks. Our understanding of the seasonal and
multi-year evolution of Antarctic surface meltwater is limited. Attempts to
generate robust meltwater cover time series have largely been constrained by
computational expense or limited ice surface visibility associated with
mapping from optical satellite imagery. Here, we add a novel method for
calculating visibility metrics to an existing meltwater detection method
within Google Earth Engine. This enables us to quantify uncertainty induced
by cloud cover and variable image data coverage, allowing time series of
surface meltwater area to be automatically generated over large spatial and
temporal scales. We demonstrate our method on the Amery Ice Shelf region of
East Antarctica, analysing 4164 Landsat 7 and 8 optical images between 2005
and 2020. Results show high interannual variability in surface meltwater
cover, with mapped cumulative lake area totals ranging from 384 to
3898 km<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per melt season. By incorporating image visibility
assessments, however, we estimate that cumulative total lake areas are on
average 42 % higher than minimum mapped values. We show that modelled
melt predictions from a regional climate model provide a good indication of
lake cover in the Amery region and that annual lake coverage is typically
highest in years with a negative austral summer SAM index. Our results
demonstrate that our method could be scaled up to generate a multi-year time
series record of surface water extent from optical imagery at a
continent-wide scale.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e172">Surface meltwater has been known to exist in Antarctica since the early
20th century, when explorers noted the presence of thaw-water streams
on the Nansen Ice Shelf (Priestly and David, 1912). The advent of remote
sensing techniques during the latter half of the 20th century enabled
the identification of surface streams, lakes and ponds in several regions of
Antarctica, including the Antarctic Peninsula (Scambos et al., 2000) and
selected glacier basins in East Antarctica (Phillips, 1998; Kingslake et
al., 2015; Langley et al., 2016). Until recently, the occurrence of surface
meltwater was considered spatially limited. Kingslake et al. (2017),
however, demonstrated that surface meltwater is widespread around the
Antarctic continent, and subsequently, we now have a reasonable
understanding of the spatial distribution of Antarctic surface meltwater
(Stokes et al., 2019; Liang et al., 2021). The majority of surface melting
occurs at lower latitudes and elevations of the ice sheet periphery
(Kingslake et al., 2017), with ponding of surface meltwater particularly
abundant on relatively flat ice shelf surfaces (Alley et al., 2018; Stokes
et al., 2019). Surface lakes and streams can also form within the ice sheet
grounding zone where katabatic winds, which descend coastward from the ice
sheet interior, displace colder and damper air adjacent to the ice surface
(Lenaerts et al., 2017). Surface snow scouring by katabatic winds can
additionally amplify albedo effects associated with blue-ice areas or
exposed nunataks, which can promote surface melting at a localised scale
(Kingslake et al., 2017; Arthur et al., 2020a; Jakobs et al., 2021).
Although<?pagebreak page5786?> our understanding of what controls the spatial distribution of
surface meltwater is increasing, our understanding of surface lake evolution
throughout melt seasons and on a multi-year timescale remains limited
(Arthur et al., 2020b).</p>
      <p id="d1e175">Understanding the evolution of surface meltwater in Antarctica is important
as it has the potential to influence ice dynamic processes and ice–albedo
feedbacks in several ways (Bell et al., 2018). First, melting at the ice
surface can directly lead to mass loss from ablation and runoff. Whilst this
is a major contributor to mass loss from the Greenland Ice Sheet (Shepherd
et al., 2020), the majority of surface melt on grounded ice in Antarctica
refreezes in situ and therefore contributes a negligible amount to mass
loss (Smith et al., 2020). Second, meltwater ponding on ice shelves can
trigger their catastrophic breakup via processes of ice shelf flexure and
hydrofracture (Scambos et al., 2000; Banwell et al., 2013). This can trigger
accelerated ice flow of previously buttressed outlet glaciers, as observed
following the breakup of the Larsen B ice shelf in 2002 (Rignot et al.,
2004; Rott et al., 2011; Leeson et al., 2020). Third, ponding of surface
meltwater overlying grounded ice can create ice bed hydraulic connections
via hydrofracture (Krawczynski et al., 2009), providing a mechanism by which
surface-derived water can alter the basal hydrological system and affect the
flow of grounded ice (Iken, 1981; Iken and Binschadler, 1986). This process
has been inferred to occur on the Antarctic Peninsula (Tuckett et al.,
2019) and could induce a fundamental change in Antarctic ice dynamics if it
becomes widespread around Antarctica (Bell et al., 2018). Given the stated
impacts that surface water can have on ice sheet mass balance, it is
important to understand how Antarctic surface hydrological systems operate
and evolve through time (Arthur et al., 2020b). Antarctic-wide melt rates
are projected to double by 2050 (Trusel et al., 2015), meaning that the
influence of surface meltwater across Antarctica will become increasingly
important for the mass balance of the ice sheet as a whole (Bell et al.,
2018).</p>
      <p id="d1e178">Several methods have been developed to map supraglacial lakes (SGLs) from
optical and synthetic aperture radar (SAR) satellite imagery. Methods
include (i) optical image band reflectance thresholds (Stokes et al., 2019;
Moussavi et al., 2020), (ii) supervised image classification techniques (e.g.
Halberstadt et al., 2020) and (iii) training machine learning algorithms
(Dirscherl et al., 2020). Though successful at identifying lakes, the
application of these techniques has been limited in scope due to a
combination of time-expensive workflows, restricted data storage and
computational resource limits. Automated methods, combined with the advent
of cloud-based computational platforms such as Google Earth Engine (GEE),
provide the opportunity to overcome these challenges, enabling large-scale
and high-temporal-resolution mapping of Antarctic surface meltwater. The
capabilities of GEE to map surface meltwater have been demonstrated in both
Greenland (Lea and Brough, 2019) and Antarctica (Dell et al., 2020;
Halberstadt et al., 2020), but GEE has yet to be used to generate
pan-Antarctic results. The majority of Antarctic SGL studies have mapped
lakes from optical satellite imagery collected by passive satellite sensors
(Arthur et al., 2020b) due to its relatively high spatial resolution and the
large archive of freely available imagery and because appropriate water
detection techniques are well established and simple to implement (e.g.
Moussavi et al., 2020). Optical imagery is, however, detrimentally affected
by spatially and temporally variable cloud cover, such that the resulting
time series of surface meltwater coverage are typically incomplete and
inconsistent. Although investigation of controls on temporal and spatial
patterns in surface meltwater coverage requires analysis-ready data and is
crucial to understanding the mass balance of the Antarctic ice sheet, such
data do not yet exist.</p>
      <p id="d1e181">Here, we implement an image band reflectance threshold-based method
(Moussavi et al., 2020) for SGL identification in GEE, creating a fully
automated method for mapping surface meltwater across Antarctica from
Landsat imagery. We use both Landsat 7 and Landsat 8 imagery, enabling us to
create a multi-year time series of lake number and area from 2005–2020. We
apply a “time window” approach, in which we present mapped results twice monthly over the duration of each melt season. We
also incorporate a novel approach to quantifying SGL coverage that accounts
for variability in both optical image coverage (e.g. region of interest
coverage and Landsat 7 scan line corrector failure) and cloud cover. We
demonstrate our method across the Amery Ice Shelf region of East Antarctica,
highlighting how the method will ultimately be used to map meltwater at a
pan-Antarctic scale. We present results showing the multi-year and seasonal
evolution of surface meltwater in the study region, and we compare our results
with climate data to investigate controls on surface melt extent.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study region</title>
      <p id="d1e192">The Amery Ice Shelf (AIS) lies within an embayment of East Antarctica
between the Prince Charles Mountains and Princess Elizabeth Land. Covering
an area of over 60 000 km<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, it is the largest ice shelf in East
Antarctica and drains approximately 16 % of the East Antarctic Ice Sheet
(Fricker et al., 2002; Spergel et al., 2021). The study area covers 188 828 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, of which 32 % is floating ice shelf, 68 % is grounded ice,
and <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 1 % is exposed bedrock. The area has been divided into
twenty-one 100 km by 100 km tiles for processing in GEE (Fig. 1) and has been
clipped to the coastline (Depoorter et al., 2013). The Amery Ice Shelf
region was selected for this study for the following reasons.</p>
      <p id="d1e220"><list list-type="order">
          <list-item>

      <p id="d1e225">The AIS develops a large surface hydrological network of SGLs and surface
streams on an almost annual basis (Spergel et al., 2021). Surface meltwater
ponding is known to have occurred in this region for several<?pagebreak page5787?> decades
(Phillips et al., 1998); hence we can be confident of generating a time
series with significant amounts of surface water.</p>
          </list-item>
          <list-item>

      <p id="d1e231">The AIS was one of the study areas used by Moussavi et al. (2020) to develop
the meltwater mapping technique that is applied within this study. We can
therefore be confident that the optical-band thresholds used by Moussavi et
al. (2020) are appropriate for identifying surface water and masking out
other land surface types such as exposed bedrock and blue ice.</p>
          </list-item>
          <list-item>

      <p id="d1e237">The region is a glaciologically important area of East Antarctica, due to
the size of the ice shelf and the large catchment that it drains (Budd et
al., 1966). Since surface melt can have a large impact on ice dynamic
processes, it is important to understand how surface meltwater evolves in
the region and to determine long-term trends in surface water coverage.
Although the AIS is currently largely resilient to hydrofracture (Lai et
al., 2020), lake drainage events on grounded ice could influence ice flow
dynamics in the near future (Tuckett et al., 2019).</p>
          </list-item>
          <list-item>

      <p id="d1e243">The study area is large enough to be able to examine whether it is
computationally feasible to apply our method at a pan-Antarctic scale.
Processing requirements within GEE are scaled to the number of lake polygons
that are detected, meaning it takes longer to map areas with high numbers of
SGLs. The AIS has a higher spatial density of SGLs than most regions in
Antarctica (Stokes et al., 2019), so by demonstrating that the method can
efficiently map SGL evolution over this region, we can be confident that it
can be applied at a continental scale.</p>
          </list-item>
        </list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e250">Study region over the Amery Ice Shelf, including an inset
showing its location within Antarctica. The background image is the Landsat
Image Mosaic of Antarctica (LIMA). The red boxes indicate the area over
which melt was mapped, with tiles representing 21 separate 100 km by
100 km regions of interest (ROIs) for mapping within GEE. The black line
marks the coastline from the SCAR Antarctic Digital Database (Gerrish et
al., 2021). Red arrows indicate the flow direction of labelled outlet
glaciers. The blue and yellow stars represent the location of Fig. 5a/c
and b respectively.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d1e267">Our method comprises four stages: (i) image data collection and filtering,
(ii) identification of areas of surface meltwater, (iii) image visibility
assessment to quantify the area of surface water missed due to cloud cover
and image data coverage, and (iv) post-processing to generate polygon
shapefile outputs and assign metadata. Stages 1–3 are undertaken within a
single script in GEE, whilst stage 4 is performed in MATLAB (both codes
available in the Supplement). Three inputs are required to run the automated
mapping tool in GEE: (1) a start and end date to define a date range for the
image search, (2) a shapefile to specify the total area over which lakes will
be mapped, and (3) the temporal resolution at which results will be generated,
either as a specified number of days or as a given number of time windows
per month; for this study, this was set as two time windows per month.
Inputs are split into ROI tiles to limit the area that is mapped at
once (Fig. 1), thus avoiding memory limit errors in GEE. The mapping
procedure loops over all the ROI tiles (21 tiles for the AIS region)
within GEE to generate results across the study region. Below, we describe
the method over a single ROI tile.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Image data collection</title>
      <p id="d1e277">Every Landsat 7 and 8 image covering any portion of our study region between
2005 and 2020 was used during analysis, totalling 4164 optical image tiles.
In practice this resulted in Landsat 8 images being exclusively used beyond
March 2013, with Landsat 7 images used prior to this date. Images were not
filtered by cloud cover to maximise the chances of detecting surface water.
We used Landsat Level-1 Tier-2 top-of-atmosphere (TOA) image tiles, which are
directly available for analysis through the GEE data catalogue
(<uri>https://developers.google.com/earth-engine/datasets/catalog/landsat</uri>, last
access: 31 March 2021). TOA reflectance values are typically used for ice
sheet studies in preference to raw digital numbers to ensure that pixel
values are not influenced by differences in image acquisition conditions
(Pope et al., 2016; Moussavi et al., 2020). Processing was performed on a
yearly basis, involving 16 runs of the GEE script (i.e. 2005–2020). For each
GEE run, an image collection was generated from images that fit the
criteria of the specified time period and overlapped with the ROI. Images
were additionally filtered to remove those with a sun elevation angle of
less than 20<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Images with a sun elevation lower than this
threshold value result in misclassification errors when using a
band-threshold-based approach, since in low-light conditions surface water
is not sufficiently spectrally different to be separated from features such
as cloud and rock shadow (Halberstadt et al., 2020; Moussavi et al., 2020).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Delineation of surface meltwater</title>
      <p id="d1e300">We applied a surface meltwater detection method developed by Moussavi et
al. (2020), who established threshold values to automatically identify
surface water, cloud and rocks from Landsat 8 image bands (Fig. S1 in the
Supplement). The thresholds used in Moussavi et al. (2020) showed an
accuracy of <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 95 % when identifying lake areas from Landsat 8
imagery, and results showed high levels of agreement when compared with lake
area data generated from other methods (Halberstadt et al., 2020). Whilst
the thresholds developed by Moussavi et al. (2020) were designed
specifically for Landsat 8, we found that the thresholds are highly
successful when applied to Landsat 7 imagery, despite minor differences in
the band wavelengths of the two satellites. Our analysis shows that there is
an average agreement of <inline-formula><mml:math id="M7" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 90 % between Landsat 7 and
Landsat 8 in the identification of surface water (see Figs. S2–S4 in the
Supplement for a comparison between Landsat 7 and Landsat 8).</p>
      <?pagebreak page5788?><p id="d1e317"><?xmltex \hack{\newpage}?>As per the method of Moussavi et al. (2020), areas of exposed bedrock and
seawater were removed from image tiles using a mask based on the thermal
infrared (TIR) and blue bands. Cloudy pixels were removed using a
combination of the short-wave infrared (SWIR) band and the
difference snow index (green <inline-formula><mml:math id="M8" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> SWIR <inline-formula><mml:math id="M9" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> green <inline-formula><mml:math id="M10" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> SWIR). Following application of
these masks (Fig. 2), we then used an ice-specific version of the normalised
difference water index (NDWI<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ice</mml:mi></mml:msub></mml:math></inline-formula>, blue <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> red <inline-formula><mml:math id="M13" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> blue <inline-formula><mml:math id="M14" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> red) to delineate
areas of surface water. This is the most widely used technique for
identifying water from optical imagery (Williamson et al., 2018; Arthur et
al., 2020b) and has been successfully used to map SGLs on both the
Greenland (Pope et al., 2016; Moussavi et al., 2016; Williamson et al.,
2018) and Antarctic ice sheets (Stokes et al., 2019; Moussavi et al., 2020).
See Fig. S1 in the Supplement for the threshold values used and Moussavi et
al. (2020) for further details of the method. Once lake pixels were detected
in each individual image tile, images were assigned to a time window (Fig. 2). Lake masks from individual images within each time window were then
combined to create a single maximal lake mask for each time window.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e375">Flowchart illustrating the optical image masking steps
taken within GEE, including the method by which images are assigned to time
windows. See Fig. S1 in the Supplement for the threshold values (Moussavi et
al., 2020) used during each masking stage.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Lake visibility assessments</title>
      <p id="d1e392">For images affected by cloud cover, mapped lakes from optical satellite data
represent minimum estimates of true lake area. Though simple metrics of
cloud cover per image are informative, they do not account for variability
in meltwater extent and visibility within a time window. To account for the
uncertainty in lake area due to these visibility issues, we developed a
novel technique which estimates the potential maximum lake area likely if
clouds were not present. To evaluate meltwater visibility over the duration
of each time window, we therefore needed to assess two key aspects: (i) a
spatial assessment of the amount of ice visible within the<?pagebreak page5789?> intersection of
each optical satellite image and each ROI, achieved by calculating an “image
visibility score” (IVS) for every optical image (Fig. 3), and (ii) a temporal
assessment of the differences in meltwater extent between images within each
time window. This second stage was achieved by calculating a “lake pixel
contribution score” (LPCS) for images within each time window (Fig. 3),
enabling quantification of which images within any given time window
contributed the most lake pixels to the overall output. These two metrics
were then combined to estimate a “lake visibility percentage” (LVP) for each
time window and ROI (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e397">Flowchart detailing the method used to conduct lake
visibility assessments within GEE for each time window. Panels <bold>(a)</bold>–<bold>(d)</bold> provide
visual examples of selected stages and are referred to within the
flowchart. The different lake colours in <bold>(d)</bold> indicate which optical image
each lake pixel has originated from (e.g. orange: image 1; yellow: image 2; etc.). If the same pixel is covered by water in more than one image
within a time window, the image pixel with the highest NDWI value is
promoted to the mosaicked image. Six images (which are shown in Fig. S5 in
the Supplement) were used in this example, indicated by <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>. IVS: image
visibility score; LPCS: lake pixel contribution score; ROI: region of
interest.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f03.png"/>

        </fig>

<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Image visibility scores (IVSs)</title>
      <p id="d1e432">An IVS was generated for every image tile that intersected each ROI, to
provide a combined measure of ROI coverage and image visibility from cloud
cover (Fig. 4). Each IVS represents the percentage of ice cover within the
ROI that was visible in the optical image. First, a “clear-sky” ice mask
covering the study region was created in GEE from cloud-free images using
the rock mask thresholds stated in Moussavi et al. (2020). This enabled
quantification of the area of ice covered by cloud in each image tile and
facilitated removal of non-ice-covered areas from IVS calculations, since we
were only interested in areas where lakes could form on the ice surface. To
calculate the IVS of a given Landsat image, both the cloud- and rock-masked
optical image tile and the clear-sky ice mask were clipped to the extent of
the ROI. These raster layers were then used to create a binary mask for each
image which identified pixels within the ROI that were both visible (not
obscured by cloud) and located over ice. The areas (in square kilometres) of the ROI
covered by both this “visible over ice” mask and the clear-sky ice mask were
then calculated within GEE. Each IVS was subsequently calculated following
Eq. (1):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M16" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">image</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">visibility</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">score</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">IVS</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">area</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">of</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>“visible over ice”</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">mask</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">within</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">ROI</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">area</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">of</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>“clear-sky”</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">ice</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">mask</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">within</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">ROI</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e516">Schematic illustrations of four different image
visibility scenarios, highlighting the IVS for each example. The black
square boxes show an ROI tile, representing a 100 km <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> km area. The same
ROI tile is used in each example, comprising 7500 km<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of ice (this is
the “clear-sky” ice mask value) and 2500 km<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:msup></mml:math></inline-formula>of rock. Blue boxes
represent Landsat optical image tiles, which cover all <bold>(a, c)</bold> or half <bold>(b, d)</bold> of the ROI. Optical images in <bold>(a)</bold> and <bold>(b)</bold> are cloud free, whilst
images in <bold>(c)</bold> and <bold>(d)</bold> are partially cloud covered. The numbers below each
example signify the following. (i) ROI coverage is the area (km<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) of the ROI that is
covered by the optical image, (ii) visible over ice is the area (km<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)
of ice within the ROI that is visible in the satellite image and (iii) IVS is the image visibility score. The IVS score in each example is given as a percentage. This
is calculated by dividing the “visible over ice” area by the area of the
“clear-sky” ice mask within the ROI (7500 in this example). Note how each
IVS gives a combined measure of ROI coverage, cloud extent and the
proportion of ice within the ROI.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Lake pixel contribution scores (LPCSs)</title>
      <p id="d1e601">Given that several images usually covered at least part of the ROI within a
time window, it was important to know which of them contributed the most to
the detection of surface meltwater. To achieve a measure of this, we
calculated a “lake pixel contribution score” (LPCS) for every optical image
within each time window. Following the removal of cloud and rock areas, we
calculated the NDWI of images using the blue and red optical bands. A
composite NDWI image for each time window was then created whereby the
highest NDWI value for each pixel was promoted (using the qualityMosaic
function in GEE). Following this, we clipped the NDWI composite to the ROI
and applied the three thresholds (Supplement Table S1) recommended by Moussavi et
al. (2020) to identify surface meltwater pixels. Each image within a time
window was assigned a unique ID prior to mosaicking to identify from which
image each lake pixel had originated. We achieved this by performing a
frequency count (ee.Reducer.frequencyHistogram) to determine the number of
lake pixels within the ROI that were contributed by each individual image.
LPCSs were then calculated based on the proportion of lake pixels from each
image that were used in the composite lake mask for each time window. For
example, an image LPCS of 0.4 meant that 40 % of the lake pixels
identified in the time window composite were extracted from that image.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Lake visibility percentages (LVPs)</title>
      <p id="d1e612">For every image that contributed lake pixels within a given time window, the
LPCS was multiplied by the IVS. These combined scores were then summed to
create a “lake visibility percentage” (LVP) for that time window (Table 1).
This<?pagebreak page5790?> final measure provided a representation of what area of meltwater
coverage was likely to have been missed by our mapping approach. An LVP of
100 % indicated that no lakes were missed (i.e. all of the ice surface
was visible within the time window), whilst an LVP of 50 % suggested that
mapped results only accounted for half the likely true area of lakes. By
performing this assessment of lake coverage, we were then able to scale
mapped lake area results up to 100 %, to attach an upper uncertainty
bound to minimum mapped lake areas. This approach assumes that every image
pixel is equally likely to be covered by surface meltwater, meaning scaled
up results are only estimated values of lake area. In ROIs where SGLs are
highly clustered, this could result in over- or under-estimates. However, by
performing the method over large ROI tiles and generating lake outputs twice monthly (meaning several images overlap each ROI per time window), this
uncertainty is minimised.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e618">Example data highlighting how pixel contribution scores
and their corresponding visibility scores are combined to create an overall
“lake visibility percentage” for each time window. The Landsat images used
in this example are displayed in Fig. S5 in the Supplement.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Image</oasis:entry>
         <oasis:entry colname="col2">LPCS</oasis:entry>
         <oasis:entry colname="col3">IVS (%)</oasis:entry>
         <oasis:entry colname="col4">Combined score</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">number</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">0.12</oasis:entry>
         <oasis:entry colname="col3">99.5</oasis:entry>
         <oasis:entry colname="col4">0.12 <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 99.5 <inline-formula><mml:math id="M23" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 11.94</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">0.17</oasis:entry>
         <oasis:entry colname="col3">99.4</oasis:entry>
         <oasis:entry colname="col4">0.17 <inline-formula><mml:math id="M24" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 99.4 <inline-formula><mml:math id="M25" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 16.90</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">0.01</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.01 <inline-formula><mml:math id="M26" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4.8 <inline-formula><mml:math id="M27" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">0.58</oasis:entry>
         <oasis:entry colname="col3">96.5</oasis:entry>
         <oasis:entry colname="col4">0.58 <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 96.5 <inline-formula><mml:math id="M29" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 55.97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">0.00</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0.00 <inline-formula><mml:math id="M30" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M31" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">0.10</oasis:entry>
         <oasis:entry colname="col3">47.1</oasis:entry>
         <oasis:entry colname="col4">0.10 <inline-formula><mml:math id="M32" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 47.1 <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.71</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col3">Lake visibility percentage (LVP) </oasis:entry>
         <oasis:entry colname="col4">89.57 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Post-processing steps</title>
      <p id="d1e864">Mapped lake polygons and visibility statistics were exported as geoJSON
files from GEE. Several post-processing stages were then undertaken in
MATLAB to convert the data into shapefiles, merge lake polygons between
ROIs and attach metadata. Shapefiles were firstly created (using the
Antarctic polar stereographic projection) for every ROI tile and time
window. ROI-specific shapefiles were then merged across the entire study
region, to create one single dataset per time window. As part of this step,
lakes split over ROI boundaries were joined together (Union), and inner
polygons were “cut” from outer lake boundaries in instances where an
“island” (typically an ice lid) was present within a lake. We then
calculated the area and geometric centroid of each cleaned polygon and
applied an area threshold of two pixels, giving minimum lake areas of 1800 m<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> based on a Landsat resolution of 30 m. This filtered out noise from
the raw output, likely associated with crevasse shadows or slush, whilst
retaining enough data to include small lakes, especially those at high
elevations that would have been missed with a higher area threshold value.
Unlike some other studies (e.g. Stokes et al., 2019), we decided not to
aggregate lake polygons in close proximity to each other, as tests showed
this sometimes resulted in the false identification of large lakes in areas
of meltwater-filled crevasses. Finally, we attached selected metadata to
each identified lake based on the geometric centroid of lake polygons. The
Depoorter et al. (2013) grounding line dataset was used to label lakes as
either “grounded” or “floating”, whilst the elevation and surface slope of
lake centroids were extracted from the Reference Elevation Model of
Antarctica (REMA) database (100 m resolution) (Howat et al., 2019). All
post-processing steps were automated in MATLAB, with each melt season taking
approximately 2–5 h to run.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page5791?><sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Comparison with climate data</title>
      <p id="d1e885">To provide an initial test of the extent to which climatic modelling can
simulate surface meltwater ponding, we compared our lake area results with
modelled snowmelt outputs from the Regional Atmospheric Climate Model
version 2.3p2 (RACMO2.3p2) (van Wessem et al., 2018). RACMO2.3p2 has a
horizontal resolution of 27 km and is coupled to an internal snow model
which calculates surface melt production, refreezing, percolation, retention
and runoff into the ocean. The model is forced by ERA-Interim
(<inline-formula><mml:math id="M35" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 80 km horizontal resolution) reanalysis data (van Wessem et
al., 2018). Monthly RACMO2.3p2 melt values were summed across the study
region and then divided by the total number of pixels to provide monthly mean
melt values. RACMO2.3p2 snowmelt outputs serve as an upper bound for
meltwater availability, as the model does not specifically account for
surface meltwater ponding. Moreover, it should be noted that RACMO2.3p2
locally resolves meltwater production based on model grid boxes and hence
does not account for the process of meltwater flowing from higher elevations
(Spergel et al., 2021). Our analysis therefore offers a preliminary
comparison between the two datasets rather than a full evaluation, which
would require quantification of lateral meltwater transfer and biases
highlighted in van Wessem et al. (2018). Given the catchment scale of this
study, the lack of lateral meltwater transport is of less importance than
for smaller-scale studies (e.g. Spergel et al., 2021).</p>
      <p id="d1e895">To explore the potential role of large-scale atmospheric circulation in
surface meltwater ponding in the study region, we investigated the influence
of the Southern Annular Mode (SAM). The SAM is the main mode of
extratropical climate variability across the Southern Hemisphere and
represents changes in the strength and position of the Southern Hemisphere
westerly winds and storm tracks (Marshall and Thompson, 2016). We chose to
compare our lake area results with the SAM because of its known influence on
Antarctic temperatures (Marshall and Thompson, 2016; Fogt and Marshall,
2020), and hence surface melting. We compared our results with austral
summer values of the SAM index of Marshall (2003), obtained from
<uri>http://www.nerc-bas.ac.uk/public/icd/gjma/newsam.1957.2007.seas.txt</uri> (last
access: 31 March 2021).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Evaluation of method</title>
      <p id="d1e918">As shown by Moussavi et al. (2020), we find that the application of a
band-thresholding technique within GEE is highly successful at rapidly
identifying surface meltwater features over large areas and time periods.
The thresholds applied were effective at masking out areas of rock and cloud
over the whole study area, whilst successfully identifying surface meltwater
(Fig. 5). Manual checking of mapped lakes against satellite imagery (from
approximately <inline-formula><mml:math id="M36" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 % of randomly selected time windows)
identified very few false positives, and the technique performed well when
differentiating lakes from areas of blue ice and shadow (Fig. 5). This is
consistent with the findings of Moussavi et al. (2020), who used the same
thresholds and found overall accuracies of <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 95 % when mapping
from Landsat-8 imagery. There was no particular spatial pattern to false
positives, such as clustering around bedrock or shadow areas. False negative
results were rare and mainly occurred where surface water was much darker
in colour, presumably either due to sediment suspended within the water
column or where lakes appeared to be very deep. Instances of sediment-laden
water were confined to the immediate vicinity of rock outcrops, whilst lake
depths very rarely exceed 4 m in the study region (Spergel et al., 2021).
These misclassification errors thus had a minimal influence on results. As
highlighted in Fig. 5, we found minimal difference in the performance of the
method between Landsat 7 and 8 imagery (Fig. S3 in the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e937"><bold>(a)</bold> Landsat 8 image from 25 January 2017 of the
Clemence Massif. <bold>(b)</bold> Landsat 8 image from 1 January 2019,
highlighting blue ice <inline-formula><mml:math id="M38" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km south of Fisher Massif. <bold>(c)</bold> Landsat 7 image from 2 January 2005, showing widespread surface lakes
to the west of the Clemence Massif. Note the white stripes resulting from
the failure of the Landsat 7 scan line corrector. <bold>(d–f)</bold> Automatic
masking of cloud, rock and surface water from Landsat imagery. The locations
of panels <bold>(a)</bold>–<bold>(c)</bold> are shown in Fig. 1. Landsat images are courtesy of the
U.S. Geological Survey (<uri>https://earthexplorer.usgs.gov/</uri>, last access: 31 March 2021).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f05.png"/>

        </fig>

      <p id="d1e974">LVPs ranged from 0 %–99.9 %, with a mean LVP of 50.4 % and a median LVP
of 52.7 % across the whole dataset. However, there were large differences
between LVPs from Landsat 7 and Landsat 8 images, largely due to data gaps
present within Landsat 7 images as a result of the failure of the scan line
corrector (SLC). The median LVP from time windows using Landsat 7 imagery
was 43.5 %, compared to 61.6 % when Landsat 8 images were used. By
using LVPs to generate maximum lake area estimates, we were able to account
for lake area underestimations resulting from data gaps in Landsat 7
imagery. On average, incorporating LVPs into lake area estimates resulted in
a 58 % increase in lake area per ROI and time window when using Landsat 7 and a 42 % increase when using Landsat 8 images. When results were
aggregated to generate cumulative lake area estimates per melt season,
maximum potential lake area estimates were 42 % greater than mapped
values on average across the entire study period.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Spatial distribution of SGLs</title>
      <p id="d1e985">We find that SGLs form on inland areas of the AIS where the ice shelf is
narrowest and on portions of grounded ice within close proximity to the
grounding zone (Fig. 6). On average, <inline-formula><mml:math id="M39" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 70 % of total lake
area within the study region exists on the ice shelf and <inline-formula><mml:math id="M40" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 % on grounded ice. In high-melt years, SGLs are widespread across the
width of the ice shelf between <inline-formula><mml:math id="M41" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72–73<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and along
the Prince Charles Mountains side of the ice shelf to around 71<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S. Very few lakes form on the ice shelf interior further north than this
latitude, although a cluster of lakes sometimes form in a sub-inlet of the
ice shelf near the Prince Charles Mountains (Fig. 6). Lakes on the ice shelf
most frequently form on the southeast side of the Clemence Massif and on
the eastern side of the Fisher Massif (Fig. 6). SGLs in these locations are
typically elongate<?pagebreak page5792?> in shape and are connected by surface streams and
channels to form a distributed surface drainage network. During high-melt
years, the largest lakes are found along the central flow line of the ice
shelf below 71<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S; the largest mapped lake in our study had an
area of 107 km<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in January 2005. However, these central lakes vary
greatly in size and occurrence between melt seasons, whilst lakes nearer the
grounding zone and next to areas of exposed bedrock form more frequently
(Fig. 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1048">Spatial distribution of SGLs over the study region,
showing the recurrence frequency of surface meltwater between 2005 and 2020.
The maximum recurrence frequency is 14, due to the exclusion of the 2004/05
and 2018/19 melt seasons. Pixels were assigned values of 1 (melt) or 0 (no
melt) per year, based on the occurrence of surface water at any stage during
each melt season. Pixels were then summed to derive recurrence frequency.
The linear light blue feature near the ice shelf calving front is a
misclassification error associated with a large calving event that occurred
in September 2019 (Walker et al., 2021). The spatial distribution of lakes
in a high-melt (2005/06) and low-melt (2010/11) season are shown in Supplement
Figs. S6 and S7 respectively.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f06.png"/>

        </fig>

      <p id="d1e1057">SGLs on grounded ice predominantly form within approximately 20 km of the
grounding zone and are particularly abundant along a 200 km stretch of the
Princess Elizabeth Land ice shelf boundary between 70–72<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S
(Fig. 6b). Lakes in this region, which can be up to 6 km<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in area,
typically form in the same location on an annual basis. Whilst the spatial
extent of lakes varies between years, we noted several lakes in this region
that formed in the same location during all 14 of the complete melt seasons
studied (Fig. 6b). No large lakes form on the three main glaciers which feed
the southernmost portion of the ice shelf, but extensive areas of
meltwater-filled crevasses are often observed on Lambert Glacier.</p>
      <p id="d1e1079">Surface meltwater is found up to elevations of <inline-formula><mml:math id="M48" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1500 m, with
the highest confirmed lake (with a minimum area threshold of 1800 m<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)
existing at 1591 m above sea level (m a.s.l.). Lakes are most common at
low elevations, with the greatest lake area totals identified between
100–200 m a.s.l. This is the elevation band that covers the majority of the
southern part of the ice shelf. The majority of the northern half of the ice
shelf lies below 100 m a.s.l., but there is low runoff and ponding in this
region (Fig. 6). Average lake size decreases with an increase in elevation,
with the majority of surface meltwater above <inline-formula><mml:math id="M50" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 600 m a.s.l.
existing in the form of small, isolated ponds within crevasse fields
(mostly on Lambert Glacier). However, larger SGLs (up to <inline-formula><mml:math id="M51" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 km<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in<?pagebreak page5793?> area) are common at elevations up to 500 m a.s.l. on sections of
grounded ice in Princess Elizabeth Land. Lake areas are greatest between 100
and 200 m a.s.l. during all 5 months of the melt season (Fig. 7),
regardless of annual variations in absolute melt supply. We do, however,
notice slight differences in the distribution of lake area across elevation
bands between high- and low-melt years. During low-melt years, total lake
area is more evenly distributed across elevations ranging between 100–400 m a.s.l. (Fig. 7b), whereas in high-melt years, lake surface areas are more
concentrated between 100–200 m a.s.l. (Fig. 7a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1123">Averaged total lake areas per month by elevation bands,
for a high-melt season (<bold>a</bold>, 2005/06) and a low-melt season (<bold>b</bold>, 2015/16).
Black horizontal bars show the hypsometry of the study region. Note the
total lake area is an order of magnitude greater during the high-melt year
(see lake area scales).</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Temporal evolution of surface meltwater</title>
      <p id="d1e1146">The seasonal and multi-year evolution of lakes for the Amery region is shown
in Fig. 8. The highest cumulative number of lakes was observed during the
2016/17 melt season, during which the cumulative total number of lakes
exceeded 100 000 (Fig. 8a). By contrast, fewer than 30 000 lakes were
cumulatively observed during both the 2010/11 and 2011/12 melt seasons. Lake
numbers were relatively low between 2006 and 2013; cumulative seasonal lake
numbers remained below 50 000 for every melt season during this period,
whereas five out of the six subsequent melt seasons had seasonal cumulative
totals of more than 75 000 lakes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1151">Time series showing the temporal evolution of lakes over
the Amery Ice Shelf region between 2005 and 2020. <bold>(a)</bold> Number of lakes per
time window and cumulatively over each melt season. <bold>(b)</bold> Observed minimum and
estimated maximum lake area per time window, in addition to seasonal
cumulative totals. <bold>(c)</bold> Mean monthly modelled melt over the study region,
from RACMO2.3p2. Cumulative totals are not included for 2004/05 and 2018/19
due to incomplete data availability over these melt seasons. Note that lake
number totals prior to 2013 may be slightly higher than reality, due to large
lakes sometimes being “dissected” by SLC striping associated with Landsat 7
imagery. However, the spacing of the SLC stripes, the average size of lakes
and the scale of lake numbers involved mean that such overestimates will
have been negligible. It was therefore deemed unnecessary to try to account
for this in lake number totals. Separate plots of lake areas and RACMO2.3p2
melt estimates for each melt season are shown in Fig. S8 in the Supplement,
enabling seasonal variations to be more clearly observed.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f08.png"/>

        </fig>

      <p id="d1e1169">The highest lake area totals during an individual time window were
identified during the 2004/05 and 2005/06 melt seasons (Fig. 8b). During the
first half of January 2005, surface meltwater covered an estimated maximum
total area of 2814 km<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. This was almost 3 times greater than the
average total lake area for the first half of January (963 km<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for
maximum estimates) throughout the study period. As observed with lake
numbers, the 7-year period between late 2006 and early 2013 was
characterised by low lake area coverage (Fig. 8b). The average estimated
cumulative lake area per season during this time period was 1062 km<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
This was around 3 times lower than the equivalent average of 2997 km<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> between 2014 and 2020 (excluding 2018/19 due to incomplete data
availability), despite the 2015/16 melt season having very low areas of lake
coverage.</p>
      <p id="d1e1209">Although there is high variability in both the number and total areas of
lakes observed between melt seasons, we do not observe an overall increasing
or decreasing trend. A strong correlation (<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.81, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.1 <inline-formula><mml:math id="M59" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is observed between lake numbers and total lake area for
individual time windows. In addition to having the highest number of lakes,
the 2016/17 season also had the highest cumulative lake area, with an
estimated (based on lake visibility corrected scores) maximum lake area
total of 5179 km<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. High lake area totals were recorded during the
2005/06 season, despite only having the sixth highest number of lakes.</p>
      <p id="d1e1260">Clear seasonal patterns of lake numbers and areas can be observed within
each melt season (Figs. 8 and S8). Between October and
early December, total lake areas were typically very low, with any meltwater
forming in crevasses or pooling in small depressions close to exposed
bedrock. For all studied years, there was a sharp increase in total lake
area during the second half of December, including in melt seasons when
absolute lake area was relatively low. On average, total lake area increased
by an order of magnitude during this time window compared to the first half
of December. Lake area coverage typically continued to increase into the
first half of January, when maximum lake areas for the melt season were most
commonly observed. Peak lake area totals were experienced during the first
half of January on 8 out of the 14  occasions for which data were
generated throughout the entire melt season (Table 2). In low-melt years, it
was more common for lake areas to peak later in the melt season, usually
during the second half of January and on one occasion (2009/10) during the
first half of February. In most years, total lake area decreased through
late January and early February, and by the second half of February, most
lakes had frozen over. The average estimated total lake area for late
February was 97 km<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, compared with 348 km<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> during the first half
of the month. Despite these seasonal trends in total lake area, we did not
observe a shift in meltwater cover to higher elevations throughout each melt
season (Fig. 7).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1284">Descriptive statistics for the time window with the
greatest total lake area, for each melt season included in the study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Melt season</oasis:entry>
         <oasis:entry colname="col2">Time window of highest</oasis:entry>
         <oasis:entry colname="col3">Largest lake area</oasis:entry>
         <oasis:entry colname="col4">Standard deviation</oasis:entry>
         <oasis:entry colname="col5">Elevation of 95th</oasis:entry>
         <oasis:entry colname="col6">% lake area</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">total lake area</oasis:entry>
         <oasis:entry colname="col3">(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>)</oasis:entry>
         <oasis:entry colname="col4">of lake area</oasis:entry>
         <oasis:entry colname="col5">percentile lake (min</oasis:entry>
         <oasis:entry colname="col6">grounded</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">four pixels) (m a.s.l.)</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">04/05</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2005</oasis:entry>
         <oasis:entry colname="col3">107.1</oasis:entry>
         <oasis:entry colname="col4">1.08</oasis:entry>
         <oasis:entry colname="col5">430</oasis:entry>
         <oasis:entry colname="col6">18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">05/06</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2006</oasis:entry>
         <oasis:entry colname="col3">57.5</oasis:entry>
         <oasis:entry colname="col4">1.03</oasis:entry>
         <oasis:entry colname="col5">389</oasis:entry>
         <oasis:entry colname="col6">13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">06/07</oasis:entry>
         <oasis:entry colname="col2">16-31 January 2007</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.11</oasis:entry>
         <oasis:entry colname="col5">469</oasis:entry>
         <oasis:entry colname="col6">53</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">07/08</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2008</oasis:entry>
         <oasis:entry colname="col3">5.1</oasis:entry>
         <oasis:entry colname="col4">0.11</oasis:entry>
         <oasis:entry colname="col5">434</oasis:entry>
         <oasis:entry colname="col6">43</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">08/09</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2009</oasis:entry>
         <oasis:entry colname="col3">7.1</oasis:entry>
         <oasis:entry colname="col4">0.13</oasis:entry>
         <oasis:entry colname="col5">422</oasis:entry>
         <oasis:entry colname="col6">52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">09/10</oasis:entry>
         <oasis:entry colname="col2">1–14 February 2010</oasis:entry>
         <oasis:entry colname="col3">17.9</oasis:entry>
         <oasis:entry colname="col4">0.28</oasis:entry>
         <oasis:entry colname="col5">459</oasis:entry>
         <oasis:entry colname="col6">32</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10/11</oasis:entry>
         <oasis:entry colname="col2">16–31 January 2011</oasis:entry>
         <oasis:entry colname="col3">2.9</oasis:entry>
         <oasis:entry colname="col4">0.09</oasis:entry>
         <oasis:entry colname="col5">368</oasis:entry>
         <oasis:entry colname="col6">53</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11/12</oasis:entry>
         <oasis:entry colname="col2">16–31 January 2012</oasis:entry>
         <oasis:entry colname="col3">4.9</oasis:entry>
         <oasis:entry colname="col4">0.16</oasis:entry>
         <oasis:entry colname="col5">348</oasis:entry>
         <oasis:entry colname="col6">36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12/13</oasis:entry>
         <oasis:entry colname="col2">16–31 January 2013</oasis:entry>
         <oasis:entry colname="col3">3.0</oasis:entry>
         <oasis:entry colname="col4">0.10</oasis:entry>
         <oasis:entry colname="col5">332</oasis:entry>
         <oasis:entry colname="col6">28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13/14</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2014</oasis:entry>
         <oasis:entry colname="col3">21.6</oasis:entry>
         <oasis:entry colname="col4">0.27</oasis:entry>
         <oasis:entry colname="col5">406</oasis:entry>
         <oasis:entry colname="col6">47</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14/15</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2015</oasis:entry>
         <oasis:entry colname="col3">52.2</oasis:entry>
         <oasis:entry colname="col4">0.59</oasis:entry>
         <oasis:entry colname="col5">382</oasis:entry>
         <oasis:entry colname="col6">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15/16</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2016</oasis:entry>
         <oasis:entry colname="col3">1.8</oasis:entry>
         <oasis:entry colname="col4">0.05</oasis:entry>
         <oasis:entry colname="col5">405</oasis:entry>
         <oasis:entry colname="col6">64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16/17</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2017</oasis:entry>
         <oasis:entry colname="col3">32.0</oasis:entry>
         <oasis:entry colname="col4">0.40</oasis:entry>
         <oasis:entry colname="col5">436</oasis:entry>
         <oasis:entry colname="col6">28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17/18</oasis:entry>
         <oasis:entry colname="col2">1–15 January 2018</oasis:entry>
         <oasis:entry colname="col3">7.4</oasis:entry>
         <oasis:entry colname="col4">0.12</oasis:entry>
         <oasis:entry colname="col5">418</oasis:entry>
         <oasis:entry colname="col6">56</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18/19</oasis:entry>
         <oasis:entry colname="col2">16–31 December 2018</oasis:entry>
         <oasis:entry colname="col3">15.4</oasis:entry>
         <oasis:entry colname="col4">0.20</oasis:entry>
         <oasis:entry colname="col5">451</oasis:entry>
         <oasis:entry colname="col6">39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19/20</oasis:entry>
         <oasis:entry colname="col2">16-31 January 2020</oasis:entry>
         <oasis:entry colname="col3">23.2</oasis:entry>
         <oasis:entry colname="col4">0.29</oasis:entry>
         <oasis:entry colname="col5">452</oasis:entry>
         <oasis:entry colname="col6">33</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<?pagebreak page5794?><sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Comparison with climate data</title>
      <p id="d1e1742">We compared our lake area results with monthly surface snowmelt rates from
RACMO2.3p2 to investigate the relationship between observed and modelled
results. There is strong positive correlation between the seasonal totals of
the two datasets (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.76, <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.002), showing that the RACMO model
captures the temporal variations in melting indicated by lake observations
reasonably well (Fig. 9). The two melt seasons with the highest cumulative
total lake area (2016/17 and 2005/06) also had the highest mean seasonal
snowmelt estimates. However, the mean seasonal melt total for 2005/06 was
23.7 mm w.e. greater than the 2016/17 estimate, despite displaying
very similar cumulative lake areas. The biggest discrepancy between the two
datasets was in 2014/15 when modelled melt rates were low, whereas the
cumulative lake area was the third highest throughout the study period.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1767">Scatter plot and correlation statistics of the
relationship between mean seasonal RACMO melt and cumulative lake area over
the study region per melt season.</p></caption>
          <?xmltex \igopts{width=237.580512pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f09.png"/>

        </fig>

      <p id="d1e1776">Figure 8c reveals minor inter-annual variations in both the spread and the
maximum estimates of modelled melt rates.<?pagebreak page5795?> Mean monthly RACMO melt was
highest during December in most of the study years, but peak melt was
modelled to have occurred during January in six melt seasons. In years when
maximum melt was modelled to have occurred during December, total lake area
typically (75 % of the time) peaked during the first half of January,
indicating a lag between peak melt and peak lake storage of <inline-formula><mml:math id="M67" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15–30 d. Similar lag times were observed in years when modelled melt
values were highest in January, with total lake area in these years most
commonly peaking in either the second half of January or early February
(Table 2). The duration of high (<inline-formula><mml:math id="M68" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 30 mm w.e.) melt rates also
varied between years. In 2005/06, high melt rates were experienced over a
single month (December), whilst remaining very low during other months of
the melt season. This matches well with the lake area data for that year,
where a sharp increase in total lake area was observed between mid-December
and mid-January, before rapidly dropping again by the end of January. In
some years, maximum melt rates were sustained over both December and
January, although absolute values of melt rate were usually lower in these
years. In 2012/13, for example, the maximum monthly melt estimate was 21.0
mm w.e., but because this level of relatively low melt was sustained over a
period of 2 months, mean seasonal melt was the fourth highest during the
study period (Fig. 9).</p>
      <p id="d1e1794">To investigate the extent to which large-scale variability in Antarctic
climate influences surface meltwater area, we correlated our lake area
results against the SAM index (Fig. 10). We find that there is a significant
negative correlation (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.029) between total lake area and
the SAM index for austral summer months. Melt seasons with a negative summer
SAM index correlated with years when<?pagebreak page5796?> total lake areas were greatest, whilst
years with a positive summer SAM index were associated with low total lake
areas. The SAM index was below <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> on two occasions throughout the
study period (2005/06 and 2016/17), the same two years that we observed the
greatest cumulative lake areas (excluding the 2004/05 melt season where data
were only available during the second half of the melt season). Years with a
positive SAM index of 2 or more were characterised by low surface
meltwater cover, with the notable exception of the 2014/15 season. This melt
season was associated with the highest SAM index of the whole study period,
yet had the fourth highest cumulative lake area total.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1833">Scatter plot and correlation statistics of the
relationship between the austral summer SAM index and cumulative total lake
area per melt season.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f10.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Improvement in the assessment of surface meltwater extent</title>
      <p id="d1e1860">In this paper, we have overcome two key factors which previously restricted
the generation of robust high-resolution time series of SGL extent from
optical satellite imagery. First, by incorporating a threshold-based method
for lake detection within GEE, with results generated by time windows, we
have created a fully automated method for generating lake area time series
that is quick and simple to run. The majority of SGL mapping studies in
Antarctica have been limited in spatial and/or temporal resolution, partly
due to methodological constraints relating to the computational expense of
processing large imagery datasets. Despite having a relatively high spatial
density of SGLs compared to most other areas of Antarctica (hence reducing
the speed of processing within GEE), we were able to map an area of <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 185 000 km<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> over a 15-year time period in less than a
week of wall-clock time. This rapid processing opens up the possibility of
future studies to investigate surface meltwater evolution over vastly
increased spatial and temporal scales, compared to what would be possible
using manual or semi-automated methods. The method requires minimal inputs
and user intervention (file transfers are required between the GEE and
MATLAB automated stages), meaning it can be quickly adapted to generate lake
area time series for other regions of Antarctica, and ultimately a pan-ice
sheet study. By using a time window approach whereby the length of
time windows can be varied (e.g. daily, monthly or yearly mapping), the
method could be used to investigate surface meltwater processes at a range of
temporal resolutions (depending on image availability). Whilst it is
computationally simple to scale up the method to map at a continent-wide
scale, it should be noted that the band reflectance thresholds may need
adjusting when mapping certain regions of Antarctica. Moussavi et al. (2020)
established the thresholds applied here based on spectral analysis of four
ice shelves around Antarctica, covering a wide range of surface conditions
and ponding characteristics. However, ice shelves with large regions of
dirty ice or high debris content, such as the McMurdo Ice Shelf, are more
likely to result in misclassification errors, meaning new thresholds may
need to be established in such locations.</p>
      <p id="d1e1879">Second, our SGL mapping procedure incorporates a robust new method for
assessing image visibility, enabling us to account for variability in cloud
cover and image data coverage when generating time series. Whilst multiple
studies have provided Antarctic SGL area and volume estimates from optical
mapping (Arthur et al., 2020a; Dell et al., 2020; Moussavi et al., 2020),
accounting for low image visibility from cloud cover has remained the
primary limiting factor in creating a continuous and consistent time series
(Moussavi et al., 2020). Furthermore, reported SGL areas and volumes based
on optical mapping likely underestimate ground-truth<?pagebreak page5797?> meltwater extent, since
very few optical images are entirely cloud-free. Here, we performed image
visibility assessments on every image analysed, enabling us to quantify
levels of uncertainty for lake area results. Maximum lake area estimates,
which incorporated visibility assessments, increased mapped lake areas for
time windows on average by approximately 50 %. This highlights the
importance of accounting for image visibility when reporting lake area
results, especially when working with Landsat 7 imagery (due to the SLC
failure) or mapping frequently cloud-covered regions, such as the Antarctic
Peninsula (van Wessem et al., 2016). Our method assumes that lakes have an
equal chance of occurring across ice-covered areas of an ROI. In reality,
lakes are often spatially clustered and occur in similar locations between
years. This uneven spatial distribution is a potential source of error for
our maximum lake area estimates. The sign and size of this error will be
dependent upon the degree of lake clustering and the position of clustered
lakes relative to cloud cover within each ROI for each time window.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Spatial distribution of surface meltwater on Amery Ice Shelf</title>
      <p id="d1e1890">Surface lakes are often widespread on inland sections of the ice shelf
during austral summer months, whilst almost no SGLs form on the northern
half of the ice shelf closer to the ocean. The spatial distribution of surface
lakes on the AIS is strongly influenced by variations in firn air content
across the study area, as similarly observed across other ice shelves in
Antarctica (Lenaerts et al., 2017; Arthur et al., 2020a; Dell et al., 2020).
The lack of surface meltwater ponding in the northern half of the study
region (Fig. 6) is likely a consequence of high rates of snow accumulation
near the calving front (Budd, 1966). A thick snowpack near the ice front has
large pore spaces within the firn layer, meaning surface meltwater can
percolate downwards and be accommodated within the pore spaces (Bell et al.,
2018). By contrast, low accumulation rates further inland on the ice shelf
likely result in a lower firn air content, meaning the firn layer becomes
saturated with meltwater more quickly, causing ponding of surface water (Bell
et al., 2018; Arthur et al., 2020a). Cycles of melting and refreezing
increase the grain-size of particles within the firn layer, reducing the
albedo of the surface compared to fine-grained fresh snow (Zwally and
Fiegles, 1994; Phillips, 1998). This can induce a positive feedback whereby
previously melted areas are more likely to experience further melting, due
to the increased absorption of short-wave radiation associated with low-albedo surfaces (Kingslake et al., 2017). It is possible that this feedback
is further enhanced by the presence of ice slabs and lenses, which can from
beneath areas of intermittent pond formation (Hubbard et al., 2016). These
dense layers of ice inhibit meltwater percolation and can be several
degrees warmer than ice that has not undergone lateral heat fluctuations
that result from the melting and refreezing of ice (Hubbard et al., 2016).
Such ice slabs have been shown to have important implications for lake
development over multiple melt seasons, based on modelling of the Larsen C
ice shelf (Buzzard et al., 2018).</p>
      <p id="d1e1893">The clustering of surface lakes around the grounding line at southern
latitudes of the AIS can further be explained by the influence of katabatic
winds. Near-surface air temperatures in coastal regions of East Antarctica
are strongly influenced by katabatic winds which originate from the ice
sheet's interior (Lenaerts et al., 2017). These winds, which are commonly
strong and directionally persistent (Lenaerts et al., 2017), generate
localised surface and atmospheric conditions that are conducive to surface
melting. Katabatic winds warm adiabatically as they flow down surface
slopes, disrupting the natural temperature inversion and resulting in
warmer, more humid air adjacent to the ice surface at the break in slope of
the grounding zone (Doran et al., 1996). These atmospheric conditions,
combined with the occurrence of low surface slopes on the ice shelf,
optimise the local environment for meltwater ponding, resulting in SGL
formation around the grounding zone of Antarctic ice shelves (Arthur et al.,
2020b; Elvidge et al., 2020). Particularly high numbers of lakes are
observed on the narrowest part of the AIS, as this is likely the focal point
for katabatic winds that are channelised, and hence strengthened, down
Lambert, Fisher and Mellor glaciers (Zwally and Fiegles, 1994).
Furthermore, increased numbers of flow stripes in this narrow section of the
ice shelf provide greater surface roughness within which lakes can form (Ng
et al., 2018). Our results show that lakes form at lower latitudes along the
Prince Charles Mountains side of the ice shelf compared to the Princess
Elizabeth Land margin (Fig. 6). We suggest this is because katabatic winds
continue to be channelised by the Mawson Escarpment once on the ice shelf,
causing them to naturally flow out along the western margin of the ice
shelf. Once the ice shelf widens and is no longer as confined by topography,
the winds likely weaken in strength, thus negating the localised warming
effect and limiting lake growth.</p>
      <p id="d1e1896">Strong katabatic winds can also erode the surface snow layer within which
melt could be stored, exposing highly compacted, less permeable surfaces.
Continued wind scouring around the grounding zone can expose areas of blue
ice, which have a lower albedo (<inline-formula><mml:math id="M74" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.57) than refrozen snow
(<inline-formula><mml:math id="M75" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.7) (Lenaerts et al., 2017). The presence of blue ice, in
addition to the high number of low-albedo nunataks that surround the inland
portion of the AIS, increases net surface absorption of solar energy,
providing a localised warming effect and enhancing surface melt rates
(Kingslake et al., 2017). Surface melt rates on other ice shelves in
Antarctica, such as Roi Baudouin and Shackleton, have been shown to be
strongly controlled by melt–albedo feedbacks (Lenaerts et al., 2017; Jakobs et al., 2019; Arthur et al., 2020a; Dell et al., 2020). Our results support
these findings, as we observe a clear spatial association between low-albedo
surfaces and areas of high lake occurrence, such as the large number of
lakes that form annually next to the Prince Charles<?pagebreak page5798?> Mountains (Fig. 6). The
spatial distribution of surface meltwater in the study region is hence
closely controlled by melt–albedo coupling between exposed bedrock, blue ice
and surface melting (Kingslake et al., 2017).</p>
      <p id="d1e1913">On both grounded and floating sections of the study region, lakes typically
form in the same location on an annual basis (Fig. 6). Surface topography
controls the hydrological routing of surface water, resulting in the ponding
of water in small hollows and basins (Bell et al., 2018). Longitudinal
surface structures on the ice shelf surface, caused by lateral compression
and longitudinal extension of ice (Glasser et al., 2015; Ely et al., 2017),
channelise surface meltwater downstream, likely explaining the elongate
shape of lakes observed on the ice shelf. Variations in the downstream
extent of lakes between years are therefore likely to partly be a
consequence of variable melt supply (Spergel et al., 2021). The distribution
of surface basins on grounded ice is controlled by subglacial topography,
meaning lakes can form annually in fixed surface depressions (Echelmeyer et
al., 1991; Ignéczi et al., 2018).</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Temporal variation in ponded surface meltwater on the Amery Ice Shelf</title>
      <p id="d1e1924">There is a clear intra-seasonal pattern of total lake area; it remains low
through the early part of the melt season, before rapidly increasing during
late December and reaching a maximum in January (Fig. 8; Table 2) and then
decreasing sharply during February. This matches with results from
scatterometer studies which show large decreases in backscatter values over
the AIS in January, indicating a rapid increase in the intensity of surface
melting (Oza et al., 2011). The sudden increase in lake area (up to an order
of magnitude increase within half a month) is likely a consequence of the
hypsometry of the study region. Over 35 % (<inline-formula><mml:math id="M76" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 65 000 km<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) of the study region lies at an elevation lower than 200 m a.s.l.,
meaning that a minor increase in temperature increases melt potential over a
vast area of ice. This contrasts with the typical hypsometry of the
Greenland Ice Sheet, where relatively steep slopes at the ice sheet margin
mean that an equivalent rise in temperature would initiate melting over a
much smaller area (McMillan et al., 2007; Sundal et al., 2009). The large
lake area contribution from low elevations possibly explains why we do not
observe a major elevation shift in peak area contribution throughout the
melt season (Fig. 7), as the signal from the ice shelf masks any changes in
total lake area contribution at higher elevations. Following the initial
appearance of meltwater ponds, overall lake area is likely further enhanced
by positive feedbacks, whereby lowered surface albedo from melting promotes
further melting. Furthermore, the development of surface streams enables
lateral transfer of surface water, rapidly increasing the spread of water
across the ice shelf surface (Kingslake et al., 2017). Sharp decreases in
lake area during February are presumably indicative of the widespread
freezing of SGLs, although evidence of lake drainage events has also been
observed in the region (Fricker et al., 2009; Pan et al., 2020; Spergel et
al., 2021).</p>
      <p id="d1e1943">There is a strong association between annual cumulative lake area and the
summer SAM index (Fig. 10), suggesting that annual ice-shelf-wide variations
in lake area cover are influenced by large-scale climate variability. Phases
of the SAM naturally oscillate on a multi-decadal timescale (Picard et al.,
2007), possibly explaining the observed multi-year phases between periods of
low and high lake area coverage (Fig. 8). When SAM is in a positive phase,
air temperatures are typically higher over the Antarctic Peninsula and lower
over the rest of the continent, whilst the reverse is the case during a
negative SAM phase (Marshall and Thompson, 2016; Turner et al., 2020). Our
results broadly support this relationship, as observed by the statistically
significant negative correlation between lake area and summer SAM index
(Fig. 10). For example, the 7-year period between 2006 and 2013, which
was largely characterised by positive summer SAM indexes, coincided with low
annual cumulative surface meltwater coverage. The only year during this
period with a negative summer SAM index (where we would expect slightly
warmer temperatures) was in 2009/10. This melt season had the highest
cumulative lake area of this 7-year period, suggesting that the summer
SAM index is linked to melt rates on an annual basis. This wider climatic
control on SGL formation suggests that the AIS has an abundance of basins
within which meltwater can be accommodated, resulting in a linear
relationship between melt rates and SGLs (Fig. 9). This may not necessarily
be the case in other regions of Antarctica, where steeper topography may
limit the number and size of depressions able to host meltwater, thus
resulting in enhanced surface runoff and a non-linear relationship between
melt and SGL area.</p>
      <p id="d1e1946">There was high variability in the austral summer SAM index from 2013–2020,
ranging from <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.75 in 2016/17 to 3.69 in 2014/15. In general, lake areas
followed the broad pattern we would expect based on their association with
the SAM throughout this time period, with the main exception being the 2014/15
melt season. Large lakes formed during this melt season, despite there being
a negative SAM and low melt rates predicted by RACMO. Greater-than-expected
meltwater ponding during this melt season can be explained by enhanced
scouring of the ice shelf surface by strong katabatic winds. Following a
snowfall event in late November 2014, large areas of low-albedo blue ice
were exposed on the ice shelf by mid-December (Fig. 11a, b), suggesting
strong wind scouring throughout the first half of December. Between
21 and 28 December, the ice shelf was transformed from
being almost entirely lake-free to widely covered by SGLs (Fig. 11c). The
following melt season, by contrast, snow cover persisted across most of the
ice shelf throughout December (Fig. 11e), meaning any meltwater could be
accommodated within the firn pack rather than ponding as surface water.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1959">Landsat 8 images showing the evolution of the ice shelf
surface to the east of the Fisher Massif in the 2014/15 <bold>(a–c)</bold> and 2015/16 <bold>(d–f)</bold> melt seasons. Landsat images are courtesy of the U.S. Geological
Survey (<uri>https://earthexplorer.usgs.gov/</uri>, last access: 31 March 2021).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5785/2021/tc-15-5785-2021-f11.png"/>

        </fig>

      <?pagebreak page5799?><p id="d1e1977">The formation and extent of SGLs are highly sensitive to minor fluctuations
in surface air temperature (Langley et al., 2016). During December 2014, the
ice shelf was pre-conditioned as a low-albedo, impermeable surface,
optimising the conditions required for surface meltwater ponding. Given
this, it is likely that a transient increase in air temperature, possibly
induced by a strong katabatic event, could have resulted in a large change
in surface meltwater characteristics. Surface melt rates depend on all terms
of the surface energy balance (Oza et al., 2011), meaning air temperature is
not the sole factor in determining surface melt rates. Whilst RACMO-modelled
melt estimates include a surface albedo parameterisation, melt–albedo
feedbacks are difficult to resolve due to the lack of representation of blue
ice within the model and the relatively coarse resolution of the data (27 km). Previous studies have shown that RACMO often underpredicts meltwater
production in areas of Antarctica where blue ice is warmed by katabatic
winds (Trusel et al., 2013; Lenaerts  et al., 2017). This possibly explains
why there were such major differences in lake area coverage between 2014/15
and 2015/16, despite RACMO mean seasonal snowmelt estimates differing by
only <inline-formula><mml:math id="M79" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 mm w.e. (Figs. 8 and 9). Jakobs et al. (2019) found
that surface albedo was the main difference in ice surface characteristics
between high- and low-melt years on the Ekström ice shelf, supporting our
hypothesis that large variations in melt extent can be caused by variations
in surface reflectance characteristics. Over our entire study period,
however, RACMO shows a good agreement with lake area.</p>
</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Implications for the future</title>
      <p id="d1e1995">Whilst the AIS has some of the highest concentrations of surface meltwater
ponding in Antarctica, the ice shelf lies in a region that is currently
thought to be largely resilient to widescale hydrofracture (Lai et al.,
2020). Substantial lateral buttressing from the valley sides results in
relatively low tensile longitudinal resistive stresses, meaning increased
meltwater ponding is unlikely to cause the rapid breakup of the ice shelf
(Lai et al., 2020). However, given the vast amount of ice that is discharged
through the AIS, it is crucial that we continue to develop our understanding
of how varying levels of surface meltwater can influence hydrological and
ice dynamic processes in the region. Repeated cycles of melting and
refreezing at the ice surface releases latent heat, weakening the ice
structure and making it more prone to future climatic perturbations (Hubbard
et al., 2016). Changes in temperature or precipitation patterns, in addition
to predicted ocean warming, could also influence the vulnerability of the
ice shelf to melt-induced fracture. Furthermore, if meltwater starts to pond
at higher elevations on a regular basis, crevasses on steeper topography may
start to undergo enhanced hydrofracture processes (Tuckett et al., 2019).
The advection of this weakened ice structure onto the ice shelf could
precondition the ice shelf to further fracturing from greater volumes of
surface meltwater ponding (Dunmire et al., 2020).</p>
      <p id="d1e1998">The association we observe between lake area and RACMO-modelled snowmelt
gives us confidence in the ability of this model to predict future melt
conditions. These<?pagebreak page5800?> results show that modelled melt rates from RACMO could be
used to generate first-order predictions of surface meltwater area at an
annual scale for the AIS region. However, some melt conditions that lead to
the formation of lakes are not currently well captured by RACMO, such as the
influence of blue ice on lake formation (Fig. 11). Snowmelt–albedo feedbacks
have a particularly strong influence on melt rates in East Antarctica
(Jakobs et al., 2021), and further work is required to quantify this process
within modelled melt estimates. Future work should also evaluate whether a
similar relationship between modelled melt and lake area occurs for other
areas in Antarctica. The surface characteristics of some regions may
preclude the formation of surface lakes (e.g. if firn aquifers are present),
resulting in a weaker association between modelled melt and observed lakes,
even if modelled estimates are broadly accurate. It is also likely that
variations in hypsometry and lateral meltwater transfer alter the lag we
find between modelled melt and peak meltwater ponding (Fig. 8, Table 2).</p>
      <p id="d1e2001">The influence of the SAM on future meltwater cover in the study region will
likely be influenced by trends in both stratospheric ozone levels and
greenhouse gas emissions (Fogt and Marshall, 2020). Stratospheric ozone
depletion has led to positive trends in the SAM in the austral summer season
over recent decades, although there are signs that recovery of the
stratospheric ozone hole is starting to counter this trend (Banerjee et al.,
2020). Increases in greenhouse gas emissions have been shown to have a
secondary influence on the SAM by strengthening the mid- to high-latitude
temperature gradient, hence resulting in a more positive SAM (Arblaster et
al., 2006). Future melt rates on the AIS will therefore likely be influenced
by several competing climatic factors, with enhanced melt from regional
warming and near-surface feedbacks potentially being offset by decreased
melt associated with a positive SAM.</p>
      <p id="d1e2004">Large volumes of surface meltwater on grounded ice around the AIS
(<inline-formula><mml:math id="M80" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 30 % of estimated total lake area) leave open the
potential for surface-to-ice bed connections to develop via hydrofracture
(Krawczynski et al., 2009). Surface-melt-induced variations in Antarctic ice
flow have currently only been inferred to occur on northern parts of the
Antarctic Peninsula (Tuckett et al., 2019). However, it is likely that
surface-to-bed hydraulic connections will become more frequent as
Antarctic-wide temperatures increase (Bell et al., 2018), and evidence of
lake drainage events has already been identified in the grounding zone of
the AIS region (Fricker et al., 2009; Pan et al., 2020; Spergel et al.,
2021). The injection of surface meltwater to the ice sheet bed could also
have implications on rates of ice shelf basal melting, as a consequence of
meltwater plumes emerging at the grounding line (Jacobs et al., 1992).
Future work should therefore investigate the distribution and recurrence
frequency of lake drainage events and assess whether they have any impact
on grounded ice flow of glaciers feeding the AIS. If such a link were found
to exist, it could have significant impacts on the speed at which ice is
discharged into the AIS, hence influencing rates of sea level rise.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e2023">We have applied an optical image band reflectance threshold-based method for
identifying surface meltwater from Landsat imagery (Moussavi et al., 2020)
within Google Earth Engine, enabling the automatic identification of SGLs
over large spatial and temporal scales. Furthermore, our approach
incorporates a robust method for assessing image visibility, allowing us to
attach quantitative uncertainty estimates to mapped lake areas. By applying
a time window approach and accounting for image visibility in the
interpretation of results, we have generated the first continuous and
consistent time series of lake area for the Amery Ice Shelf region between
2005 and 2020. We show that there is high annual variability in lake area
cover in the AIS region and that seasonal surface meltwater coverage is
significantly influenced by variations in the SAM. Positive phases of the
SAM are associated with low meltwater coverage, whilst melt seasons with a
negative austral summer SAM index are typically associated with high-melt
years and widespread surface meltwater extent. For a typical year, lake area
remains low during the early melt season (November–mid-December) before
rapidly increasing during the second half of December. Maximum total lake
area is most commonly observed during January, before sharply declining
during February as lakes presumably freeze over. The spatial distribution of
lakes on the ice shelf is strongly influenced by melt–albedo feedbacks,
especially the exposure of blue ice from the persistent scouring of the
surface by strong katabatic winds. We find a strong correlation between
RACMO-modelled snowmelt and cumulative lake area, providing confidence in
our ability to predict future surface meltwater ponding based on regional
climate model projections in this region.</p>
      <p id="d1e2026">Our results demonstrate a reliable and easy-to-implement workflow for
robustly quantifying Antarctic surface meltwater extent through time. Future
work will therefore include scaling up the method to assess spatial and
temporal trends in surface meltwater extent at a continent-wide scale. Such
a dataset would enable a greater understanding of pan-Antarctic controls on
surface meltwater ponding and allow us to assess how surface hydrological
systems respond to varying atmospheric temperatures. This work will
ultimately contribute to advancing our understanding of surface hydrological
processes in Antarctica, which will have an increasingly important influence
on the surface mass balance of the ice sheets in the near future.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e2034">Lake mapping source code is freely distributed under a GNU GPL licence as a supplement to this paper. The Google Earth Engine and MATLAB scripts used to process the data can be downloaded from <ext-link xlink:href="https://doi.org/10.15131/shef.data.16904620" ext-link-type="DOI">10.15131/shef.data.16904620</ext-link> (Tuckett et al., 2021).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e2043">Landsat imagery is freely available from the United States Geological Survey EarthExplorer (<uri>https://earthexplorer.usgs.gov/</uri>, EarthExplorer, 2021) or via the Google Earth Engine data catalogue (<uri>https://developers.google.com/earth-engine/datasets/catalog/landsat</uri>, Earth Engine Data Catalog, 2021). SAM index data, following Marshall et al. (2003), are available from the British Antarctic Survey (<uri>http://www.nerc-bas.ac.uk/public/icd/gjma/newsam.1957.2007.seas.txt</uri>, Marshall et al., 2003). RACMO2.3p2 model data are available from the Institute for Marine and Atmospheric research Utrecht (<uri>https://www.projects.science.uu.nl/iceclimate/models/antarctica.php</uri>, van Wessem et al., 2018). Contact: j.m.vanwessem@uu.nl.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2058">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-15-5785-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-15-5785-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2067">PAT, JCE, AJS, SJL and JML conceived of the study. PAT developed the
methodology and the GEE script, building on prior work by JML and under the
supervision of JCE, AJS and SJL. AJS provided assistance developing the
MATLAB post-processing script. JMJ provided guidance on the climate
comparison sections. JMvW provided the RACMO data and gave guidance on this
section. PAT conducted all other analysis and led the paper writing,
with input from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2073">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2080">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2086">We thank Sammie Buzzard and the one anonymous reviewer for providing
comments which improved the paper and Huw Horgan for handling the
paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2091">Peter A. Tuckett has been supported by a University Post Graduate Research Committee (UPGRC)
Scholarship from the University of Sheffield. Jeremy C. Ely has been supported by a NERC
independent research fellowship (grant no. NE/R014574/1). James M. Lea has been supported by a UKRI Future Leaders Fellowship (grant no. MR/S017232/1). J. Melchior van Wessem has been supported by
financial contributions made by the Netherlands Organisation for Scientific
Research (grant no. 866.15.201) and the Netherlands Earth System Science Centre
(NESSC).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2097">This paper was edited by Huw Horgan and reviewed by Sammie Buzzard and one anonymous referee.</p>
  </notes><ref-list>
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