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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <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-15-3877-2021</article-id><title-group><article-title>The distribution and evolution of supraglacial lakes on 79<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (north-eastern Greenland) and interannual climatic controls</article-title><alt-title>Distribution and evolution of supraglacial lakes on 79<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier</alt-title>
      </title-group><?xmltex \runningtitle{Distribution and evolution of supraglacial lakes on 79{${}^{{\circ}}$}\,N Glacier}?><?xmltex \runningauthor{J.~V.~Turton et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Turton</surname><given-names>Jenny V.</given-names></name>
          <email>jenny.turton@fau.de</email>
        <ext-link>https://orcid.org/0000-0003-0581-8293</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hochreuther</surname><given-names>Philipp</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7780-1525</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Reimann</surname><given-names>Nathalie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Blau</surname><given-names>Manuel T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4649-6040</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Geography, Friedrich–Alexander University, 90154 Erlangen, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Climate System, Pusan National University, Busan 46241,
South Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Centre for Climate Physics, Institute for Basic Science, Busan 46241,
South Korea</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jenny V. Turton (jenny.turton@fau.de)</corresp></author-notes><pub-date><day>20</day><month>August</month><year>2021</year></pub-date>
      
      <volume>15</volume>
      <issue>8</issue>
      <fpage>3877</fpage><lpage>3896</lpage>
      <history>
        <date date-type="received"><day>5</day><month>February</month><year>2021</year></date>
           <date date-type="accepted"><day>15</day><month>July</month><year>2021</year></date>
           <date date-type="rev-recd"><day>7</day><month>July</month><year>2021</year></date>
           <date date-type="rev-request"><day>2</day><month>March</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </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/.html">This article is available from https://tc.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e140">The Nioghalvfjerdsfjorden glacier (also known as the 79<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> North Glacier) drains approximately 8 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the Greenland Ice Sheet. Supraglacial lakes (SGLs), or surface melt ponds, are a persistent summertime feature and are
thought to drain rapidly to the base of the glacier and influence seasonal ice
velocity. However, seasonal development and spatial distribution of SGLs in
the north-east of Greenland are poorly understood, leaving a substantial error in the estimate of meltwater and its impacts on ice velocity. Using results from an automated detection of melt ponds, atmospheric and surface mass
balance modelling, and reanalysis products, we investigate the role of specific climatic conditions in melt onset, extent, and duration from 2016 to 2019. The summers of 2016 and 2019 were characterised by above-average air temperatures, particularly in June, as well as a number of rainfall events, which led to
extensive melt ponds to elevations up to 1600 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Conversely, 2018 was
particularly cold, with a large accumulated snowpack, which limited the
development of lakes to altitudes less than 800 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. There is evidence
of inland expansion and increases in the total area of lakes compared to the
early 2000s, as projected by future global warming scenarios.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e185">Nioghalvfjerdsfjorden, also known as 79<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> North Glacier (henceforth 79<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier), is a marine-terminating glacier on the north-eastern coast of Greenland. Approximately 8 % of the Greenland Ice Stream (GIS) drains into 79<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier through the North East Greenland Ice Stream (NEGIS), making it the largest discharger of ice in northern Greenland (Mouignot
et al., 2015; Mayer et al., 2018). Prior to the 21st century, NEGIS, which
extends 600 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> into the interior of the GIS (Fig. 1), was believed to
be stable, with little change in ice dynamics (Khan et al., 2014; Mayer
et al., 2018). However, since 2006 NEGIS has undergone pronounced thinning of
1 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and the floating tongue of 79<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N has retreated
by 2–3 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> since 2009 (Khan et al., 2014). Recently, over
100 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of ice was lost through calving of a tributary glacier to
79<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, Spalte Glacier (Fig. S1 in the Supplement), following record-breaking summer air temperatures in 2019 and 2020, highlighting the
vulnerability of this region to climate change and surface melt.</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="d1e280"><bold>(a)</bold> Ice velocity (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) of the north-east of Greenland with the North East Greenland Ice Stream (NEGIS) labelled (insert is the whole
map of Greenland with ice velocities and a black box outlining the area in
<bold>a</bold>). Pink box outlines the approximate area of <bold>(b)</bold> and <bold>(c)</bold>. <bold>(b)</bold> The mosaic of
Sentinel-2 granules used to apply the SGL detection algorithm, captured on 19 June  2019. The background is the GIMP DEM of Howat et al. (2014). <bold>(c)</bold>
The inner domain of Polar Weather Research and Forecasting (PWRF) model
simulations by Turton et al. (2020), with the locations of the two AWSs (KPC_U and KPC_L) and the elevation of the
glacier and ice sheet in colour. The dashed pink box highlights the floating
portion of the glacier. Ice velocity data from Sentinel-1, winter campaign from December 2019 to January 2021, from the ESA Ice Sheets CCI project
(<uri>http://products.esa-icesheets-cci.org/products/downloadlist/IV/</uri>, last
access: 20 June 2021).</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f01.png"/>

      </fig>

      <?pagebreak page3878?><p id="d1e327">The surface of 79<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and the NEGIS feature persistent meltwater ponds, or supraglacial lakes (SGLs), and meltwater drainage channels (Fig. S1). SGLs are a frequent summertime feature on many glaciers in Greenland (Pope et al., 2016), on ice shelves (e.g. Larsen C; Luckman et al., 2014), and on sea ice (Perovich et al., 2002). The albedo of SGLs is between
0.1 and 0.6, depending on their depth (Malinka et al., 2018), and therefore
they absorb much more shortwave radiation than the surrounding solid ice
(Buzzard et al., 2018a). SGLs influence both the surface mass balance (SMB) and the dynamical stability of glaciers by lowering the albedo at the surface and draining water to the base, which reduces friction and influences
ice flow velocity (Zwally et al., 2002; Vijay et al., 2019). Both ice velocity
increases and decreases have been linked to the drainage of SGLs across
Greenland. Short-lived velocity increases have been observed during summer in
several marine-terminating glaciers, including 79<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (Rathmann et al., 2017). Both Rathmann et al. (2017) and Vijay et al. (2019) hypothesise that the summer speed-up of 79<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier occurs when
SGLs drain to the base and alter the subglacial hydrology. Conversely, on
land-terminating glaciers, SGL drainage has been shown to reduce ice velocity
on the seasonal to decadal timescales (Sundal et al., 2011; Tedstone et al., 2015). SGLs are a key component of the SMB and yet rarely feature in mass balance models or estimates (Smith et al., 2017; Yang et al., 2019). Despite
the high number of studies focusing on surface mass loss from the Greenland
Ice Sheet (e.g. Lüthje et al., 2006; Das et al., 2008; Tedesco et al., 2012; Stevens et al., 2015), the relationship between SMB, runoff, and SGL
development remains unclear.</p>
      <p id="d1e358">Despite the widespread occurrence of SGLs, very few studies have investigated
the relationship between the seasonal evolution of SGLs and the atmospheric
processes required for their formation in this region. Previous studies have
largely focused on Antarctic ice shelves (Langley et al., 2016; Arthur et al.,
2020; Leeson et al., 2020) and southern and western Greenland (Lüthje
et al., 2006; Das et al., 2008; Tedesco et al., 2012; Stevens et al.,
2015). Recently, more northerly locations have been investigated, including
Petermann Glacier (Macdonald et al., 2018). Multispectral satellite products
now provide observations of SGLs over north-eastern Greenland at both high temporal and spatial resolutions, and in many cases free of charge. The north-east of Greenland, and specifically the NEGIS region, has, until recently, lacked such
detailed analysis of SGLs; however, this region is likely to show an inland expansion of SGL and ablation zones in the near future (Leeson et al., 2015;
Igneczi et al., 2016; Noël et al., 2019).  Sundal et al. (2009) used MODIS
data to assess the lake area between 2003 and 2007 for 79<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier
amongst other locations. However, as the ASTER images were acquired at a later
stage in the melt season, the percentage of unidentified lake area at the
start of the summer is likely to be higher than 12 % (Sundal et al.,
2009). Winter estimates of liquid water area on 79<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier are also now available from Schröder et al. (2020). Recently, Hochreuther
et al. (2021) developed an automated melt detection algorithm for Sentinel-2
satellite data. This provides a near-daily, 10 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spatial resolution
time series of SGLs on the NEGIS during summertime.</p>
      <p id="d1e387">Widespread summer melting was observed over Greenland in 2007, 2010, and 2012, which prompted research into<?pagebreak page3879?> large-scale teleconnection patterns (Tedesco
et al., 2013; Lim et al., 2016; Hanna et al., 2014a). These patterns of
atmospheric variability have been found to influence the air temperature and
precipitation in Greenland. The North Atlantic Oscillation (often termed NAO)
is the dominant mode of variability for Greenland and the Arctic, defined as
the “seesaw” of atmospheric surface pressure changes between Iceland and the
Azores (Hildebrandsson, 1897; Hanna et al., 2014b). Three other modes of
atmospheric variability were found to be important for specifically the
north-east and east of Greenland by Lim et al. (2016): the Arctic Oscillation, the East Atlantic pattern, and the Greenland Blocking Index. Generally (for
the whole of Greenland), a negative phase of the North Atlantic Oscillation
and Arctic Oscillation is associated with a warm and dry atmosphere over the GIS and often leads to mass loss at the surface (Lim et al.,
2016). Furthermore, a positive Greenland Blocking Index (especially when
combined with a positive East Atlantic pattern and negative North Atlantic
Oscillation index) also leads to positive temperature anomalies over the
GIS. Extreme Greenland-wide melt seasons, such as in 2012, have been linked to
specific teleconnection patterns (Tedesco et al., 2013); however, no studies have assessed the potential role of teleconnections in the development of SGLs
or localised melt conditions.</p>
      <p id="d1e390">Along with large-scale teleconnection influences, smaller-scale mesoscale
processes also influence the climate and melting over Greenland. Recently,
atmospheric rivers, or narrow filament-like regions of intense water vapour
transport in the atmosphere, have been investigated in response to extreme
surface mass balance variations in the north-west of Greenland (Bonne et al., 2015; Mattingly et al., 2018, 2020). In most cases, the north-east of Greenland, especially the coastal regions and marine-terminating glaciers,
have received little or no attention during extreme melting years, possibly
due to weaker teleconnection signals (Lim et al., 2016) or due to low spatial
resolution data (Oltmanns et al., 2019). Similarly, prior to the mid-2010s, the majority of melting was located in the southern and western parts of Greenland, leading to vast research for these regions (e.g. van de Wal et al., 2005, 2012; Tedstone et al., 2017; Kuipers Munneke et al.,
2018). However, after the mid-2010s, the highest melt anomalies were located in northern Greenland, especially in 2014 and 2016 (Tedesco et al.,
2016). Recently, a low-permeability ice slab was identified in north-eastern Greenland and within 79<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (MacFerrin et al., 2019). The
metres-thick, englacial layers of refrozen meltwater enhance melting and runoff processes and are sustained with relatively small amounts of meltwater from drainage of SGLs (MacFerrin et al., 2019). With a warming climate, it is
likely that the ice slabs will become more widespread and persistent, although
more research is required to investigate the glaciohydrology in these regions.  In a recent review paper, Flowers (2018) highlighted that further
investigation into surface meltwater volume, drainage, and runoff from marine-terminating glaciers is required.</p>
      <p id="d1e402">The specific aims of this study are to investigate (1) the spatial distribution of SGLs over 79<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, (2) the life cycle of lake development, (3) the atmospheric and topographic controls on melt pond
evolution in the north-east of Greenland between 2016 and 2019, and (4) whether and how conditions have changed since the Sundal et al. (2009) study in the early 2000s. To accomplish this, we use a combination of Sentinel-2 data,
high-resolution (1 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) atmospheric modelling output from the Polar
Weather Research and Forecasting (PWRF) model, surface mass balance estimates from the COSIPY model, as well as in situ observations.</p>
      <p id="d1e422">In Sect. 2, we introduce the automatic detection algorithm and data used in
the study, followed by the results (Sect. 3). These are separated into
topographic (Sect. 3.2) and climatic (Sect. 3.3) controls of the SGL formation
and spatial distribution. The discussion continues in Sect. 4 and the research
concludes in Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Automated SGL detection algorithm</title>
      <p id="d1e440">Automatic SGL detection algorithms have previously been applied to a number of
satellite records, including MODIS (Sundal et al., 2009), Landsat8 (Williamson et al., 2018), Sentinel-1 (Schröder et al., 2020), and Sentinel-2
(Williamson et al., 2018; Hochreuther et al., 2021). A previously developed
SGL detection algorithm by Hochreuther et al. (2021) has been applied to
Sentinel-2 data between March and September 2016–2019 for melt pond
tracking. For a full description of the processes involved in SGL detection,
see Hochreuther et al. (2021); however, a brief overview is provided here. Optical imagery is collected from two twin satellites, Sentinel-2 A and
B, at a revisit duration of approximately 1–2 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> at this latitude and
a spatial resolution between 10 and 60 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Whilst launched in 2015,
data coverage was too low over the study area to extract a meaningful
time series of SGLs. Therefore, the time series used here runs from 29 March 2016 to 19 September 2019.</p>
      <p id="d1e459">An empirically developed and locally tuned static band ratio threshold for the
blue to red band spectra was applied. This approach was chosen over the
often-applied NDWI due to faster computation and expected similar results
(Williamson et al., 2017; Hochreuther et al., 2021). To delineate ice and
slush from liquid water, thresholds between 1.0 and 2.4 were tested and
compared visually to true colour images, resulting in a best fit at a ratio of
1.6. After the application of the threshold, the images were cropped to the
grounded ice. The GIMP land classification map (Howat et al., 2014), updated
by a Sentinel-2 image from 2016 and combined with an ERS-2 SAR-based grounding line estimation, was used to delineate the eastern ice margin (Hochreuther et al., 2021). Sieving the binary mask, again with iterative size testing in
advance, reduced noise<?pagebreak page3880?> stemming from crevasse and serac fields, retaining only water areas larger than 150 pixels (0.015 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>).  This
potentially causes a number of very small lakes to be missed but represents the best possible compromise between falsely removing small lakes and falsely
retaining misclassifications due to shadows or slush. A topographic shadow
mask was applied to the data to avoid misclassifications.  Furthermore, as
lakes on the Greenland Ice Sheet have been shown to form mainly within topographic sinks, only water areas within topographic depressions were
retained using a digital elevation model (DEM)-based sink mask, reducing the risk of identifying streams as lakes. Finally, a two-step cloud detection was
applied, taking changes in lake area over time (step 1) and cloud (shadow) size into account. Depth and volume were not estimated, as no measurements of
lake depths exist for similar latitudes (and thus solar zenith angles) within
the observation period of Sentinel-2.  Additionally, lakes on 79<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
Glacier have been shown to partially be significantly deeper than in western Greenland (see Neckel et al., 2020, and the discussion section). As a consequence, spectrum-depth equations derived in other studies could not be applied here.</p>
      <p id="d1e482">Lakes are not automatically detected on the floating tongue portion of the
glacier. Firstly, there are no topographic sinks, as these are reliant on a
DEM of the grounded ice sheet. Secondly, the tongue is fast moving
(approximately 1500 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Krieger et al., 2020), which makes it
difficult to track the lake outlines from one year to the next. Finally, meltwater on the tongue is extensive and flows in more linear patterns as it
drains through crevasses (Fig. S1). Description of the SGLs on the floating
tongue throughout the paper reflect only visual inspection of the satellite
images.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>In situ observations</title>
      <p id="d1e510">Observational data at two AWSs located on Kronprins Christian Land (KPC) in
the north-east of Greenland are used from the PROMICE (Programme for Monitoring of the Greenland Ice Sheet) network (<uri>https://www.promice.dk</uri>, last
access: 3 April 2019) operated by the Greenland and Denmark Geological Survey (GEUS). AWS KPC_U (upper) is located at 79.83<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 25.17<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 870 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and KPC_L (lower) is located at 79.91<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
24.08<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 370 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. 1). See Table 1 and Turton
et al. (2019a) for more information on data availability and the climatology of
this region.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e598">Location, elevation, and data availability of KPC_L and KPC_U AWSs. Observations are taken approximately 2 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the surface. <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is air temperature, SW<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula> and LW<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula> are the
incoming (downward) shortwave and longwave radiation respectively, and TSK is the skin temperature of the glacier. See van As and Fausto (2011) for more information on observations from the PROMICE network.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="20mm"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="45mm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="40mm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Elevation</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Name</oasis:entry>
         <oasis:entry colname="col2">Location</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Data availability</oasis:entry>
         <oasis:entry colname="col5">Variables used in this study</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">KPC_L</oasis:entry>
         <oasis:entry colname="col2">79.91<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <?xmltex \hack{\hfill\break}?>24.08<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">380</oasis:entry>
         <oasis:entry colname="col4">1 January 2009–present</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, cloud cover; TSK <?xmltex \hack{\hfill\break}?>SW<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula>, LW<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KPC_U</oasis:entry>
         <oasis:entry colname="col2">79.83<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <?xmltex \hack{\hfill\break}?>25.17<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">870</oasis:entry>
         <oasis:entry colname="col4">1 January 2009–14 January 2010, <?xmltex \hack{\hfill\break}?>18 July 2012–present</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, cloud cover; TSK <?xmltex \hack{\hfill\break}?>SW<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula>, LW<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mtext>in</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Reanalysis data</title>
      <p id="d1e857">The European Centre for Medium-Range Weather Forecasts (ECMWF) 5th generation reanalysis product ERA5 has been developed to replace the ERA-Interim
product. ERA5 was gradually released starting in July 2017 and back to 1979 is now available. The horizontal resolution of ERA5 is approximately
31 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and has 137 levels in the vertical from the surface to a height
of 0.01 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. Total precipitation and snowfall have been extracted from
ERA5 at hourly intervals from the nearest grid point to the coordinates of the
AWS. The ratio of snowfall to total precipitation (SF<inline-formula><mml:math id="M54" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>TP) is then
calculated. Total precipitation and snowfall estimates from ERA5 were compared
to observations taken from buoy measurements in the Arctic Ocean by Wang
et al. (2019) and found to have a high degree of agreement with
observations. The high resolution of ERA5 was also desirable compared to other
available reanalysis products in the region (Turton et al., 2019a).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Polar Weather Research and Forecasting model</title>
      <p id="d1e891">Archived model output from the PWRF model (v3.9.1.1) is analysed. Meteorological variables are available at daily
temporal and 1 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> spatial resolutions from Turton et al. (2019b) at <ext-link xlink:href="https://doi.org/10.17605/OSF.IO/53E6Z" ext-link-type="DOI">10.17605/OSF.IO/53E6Z</ext-link>. PWRF is a polar-optimised version of the WRF
model to better account for sea ice and snowpack processes (Hines et al., 2015). The majority of adjustments in PWRF compared to regular WRF are
located in the Noah land surface module. The model output has been previously
evaluated against the in situ PROMICE weather stations near 79<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier and can successfully represent a number of near-surface meteorological
variables for both daily mean and sub-daily timescales (Turton et al.,
2020). The full description and justification of the model setup are provided in Turton et al. (2020) and the inner domain location is presented in
Fig. 1a. Data are available from October 2013 to December 2018.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>COSIPY mass balance model</title>
      <?pagebreak page3881?><p id="d1e923">To provide an overview of the surface mass balance (SMB) of the region, output from a distributed, open-source SMB model called COSIPY (COupled Snowpack and
Ice surface energy and mass balance model in PYthon)
(<uri>https://github.com/cryotools/cosipy</uri>, last access: 17 August 2021; Sauter et al., 2020) is used. Hourly, 1 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> spatial resolution
surface mass balance simulations from COSIPY, forced with 4-D PWRF output for 2014 to 2018, are used here (COSIPY-WRF). COSIPY-WRF SMB outputs were evaluated against available observations and compared to previous studies by Blau
et al. (2021) and found to represent the majority of SMB components with
reasonable success at the grounding line and inland for 79<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
Glacier. Archived output from COSIPY-WRF is available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.4434259" ext-link-type="DOI">10.5281/zenodo.4434259</ext-link>.  Here, we use surface mass balance estimates
from September 2015 to August 2018 to place our melt pond findings in the context of the wider melt in the region. For a full list of parameterisations
and a description of COSIPY, see Blau et al. (2021).<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Interannual characteristics</title>
      <p id="d1e966">Here, we highlight the important lake characteristics and analyse the climatic
and topographic controls responsible for the spatial and temporal distribution
of SGLs on 79<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, as detected by Hochreuther et al. (2021)
from 2016 to 2019. The average size of individual SGLs varies interannually
from a maximum of 0.07 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2016 to 0.02 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2018.</p>
      <p id="d1e1000">Typically, lake development began in early June at the lowest elevations.
Total lake area increased throughout June and July, reaching a peak in the
first week of August. Throughout July, the rate of increase was steady, with
approximately 20 %–25 % increase in lake area from one observation to
the next, in all years (Fig. 2). From mid-August (days 220–230), the daily change rate became negative as SGLs froze up or drained. However, in some years there were still individual days of increasing SGL area (positive change rate)
punctuating the overall decline in SGL area towards the end of the melt season
(Fig. 2). This occurred due to periods of warm air temperature or late-season
rainfall events. SGLs which remained at the end of the melt season (and have
not drained into the firn or channels) typically froze over or became buried in snow. Freeze-over of lakes started with a growing floe on one side or with a “lid” in the centre and froze outwards (Fig. 3). In years with low snow
accumulation at the start of September, the frozen, semi-spherical remains of
frozen lakes can still be seen.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1005">Change rates of the lake area between observations from 2016 to
2019, limited to DOY 150–270 (bars, in percent of the last observed
area). Line graph: total lake area in <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1028">Lake area in July (blue) and August (purple) for 2016 <bold>(a)</bold>, 2017
<bold>(b)</bold>, 2018 <bold>(c)</bold>, and 2019 <bold>(d)</bold>. Contours are every 100 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Lakes on the tongue have been removed to assess only those controlled by topography.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f03.png"/>

        </fig>

      <p id="d1e1057">The rate of increase in SGL area varied interannually (Fig. 2). The years 2016
and 2019 were characterised by fast increases in SGL area in June (days 150 to
170–180). In 2016, the increasing rate of SGL area regularly exceeded
100 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> increase in total SGL area from one observation to the next
(Fig. 2). June 2017 had a relatively steady increase in SGL area, with
approximately 25 % daily increases in area. June 2018 was characterised by
a seesaw pattern in expansion of lake area, with periods of fast increases in area (approximately 50 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> daily increases), followed by periods of
SGL lake closure (Fig. 2). Sustained expansion of lake area only occurred
after the last week of June for 2018. Closure or freeze-over of lakes at the
end of the melt season was later and slower in 2018 than in 2016, 2017, and 2019 (Fig. 2), and some lakes even remained open at the end of the observation
period in mid-September.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1078">Altitude distribution of lake area for the maxima of 2016 <bold>(a)</bold>,
2017 <bold>(b)</bold>, 2018 <bold>(c)</bold>, and 2019 <bold>(d)</bold> per 10 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> altitude difference. Red dots show average slope angle for 100 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> altitude bins.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f04.png"/>

        </fig>

      <p id="d1e1116">Similarly to the rate of change, the total SGL area varied interannually. The largest peak total SGL area was seen in 2019, with 330 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
(Fig. 2).  Conversely, the smallest peak total SGL area was in 2018 with just
77 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (Hochreuther et al., 2021). This is approximately a
329 % increase between maximum lake area in 2018 and in 2019. The spatial
difference in the years is shown in Fig. 3, where considerably more lakes are
highlighted in 2016 and 2019 than in either 2017 or 2018. Whilst this only
shows a snapshot of conditions on 2 different days, representing peak conditions (mid-July; blue) and a period when the SGLs freeze up (mid-August;
pink), the spatial distribution of the lakes differs by years.  SGLs at
elevations greater than 800 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are detected across much of the glacier
in 2016 and 2019 but only sparsely in 2017 and 2018 (Figs. 3 and 4). Similarly, much larger SGLs are open in 2016 and 2019 than the other 2 years
(Fig. 3). The peak total SGL area in 2016 and 2019 was considerably larger
than in 2017 and 2018, especially at altitudes from 1000 to
1600 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. 4). However, in years with a lower total SGL
area, such as 2018, the distribution of lakes is skewed more towards lower
elevations (Fig. 4c).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Topographic controls</title>
      <p id="d1e1178">Melt lakes are part of the whole drainage system of ice sheet hydrology.
Given sufficient meltwater availability, the location of lake formation is
foremostly controlled by the topography of the ice sheet surface (Lüthje
et al., 2006). Lakes therefore act as a sink for the englacial channels which
distribute the water across and through the ice sheet. The position of lakes
on the Greenland Ice Sheet is therefore largely controlled by the underlying
bedrock topography (Lampkin and Vanderberg, 2011).</p>
      <p id="d1e1181">Below the grounding line of 79<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (on the floating tongue),
the lakes advect downstream with the flow of the glacier towards the ocean, in
a similar fashion to those observed on Petermann Glacier (Macdonald et al.,
2018). However, above the grounding line, lakes develop in the same<?pagebreak page3882?> depression
or location each year (Fig. 3). The SGL area in 2016 and 2019 is larger
compared to 2017 and 2018. This interannual change in SGL area is due to the
inland expansion of lakes to higher elevations (Fig. 3), as opposed to the
development of new lakes at lower elevations.</p>
      <p id="d1e1193">The minimal SGL area between approximately 200 and 600 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 4) is
partly a consequence of higher slope angle. The slope of the glacier surface
between these altitudes is approximately 3<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to 4<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.  The areas with
larger SGL area and where the largest lakes develop (Fig. 3) are between 0.6<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 1.5<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (Fig. 4). Unlike some of the ice shelves in Antarctica, where
SGLs are concentrated around the grounding line due to low elevation and slope
(Arthur et al., 2020), on 79<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, SGLs are also clustered at
higher altitudes, where low slope angles are also measured. Consequently, the
largest lakes can be found at altitudes between 850 and 1000 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The
highest elevation of SGL development was at 1600 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in 2019
(Fig. 4). Due to the flat terrain, these lakes are, judging from the blue
spectrum saturation, comparatively shallow, whereas the lakes close to the
grounding line appear smaller in area but deeper (Fig. S2 in the Supplement).</p>
      <p id="d1e1266">Significant decreases in total lake area can be attributed either to sudden climatic changes or to consecutive drainage events. In 2019, the sudden
decrease around DOY 240 is attributed to a large freeze-over of the majority
of all lakes above 700 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> Conversely, the decrease following
the 2019 peak of total lake area on 2 August (DOY 214) was caused by a
stepwise drainage pattern, starting with larger lakes at high altitudes, followed by drainage events close to the ice front of Zachariae and
accompanied by a speedup of calving and seawater movement (Fig. S3 in the
Supplement).  Because of the timing and sequence of the rapid drainage events,
we can deduce a subglacial meltwater reconfiguration in this case.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Climatic controls</title>
      <p id="d1e1298">Whilst the location of the individual lake is controlled by topographic
features, whether or not the lake will develop is due to atmospheric
conditions. In conjunction with the topographic controls, the second-most important control for lake development is the availability of meltwater, which is largely controlled by the weather conditions. We have assessed
numerous atmospheric variables for the 4-year period in an attempt to investigate the relationship between these variables and the melt onset and extent.</p>
      <p id="d1e1301">Buzzard et al. (2018a) investigated the impact of varying atmospheric
variables in an idealised 1-D melt pond model and identified that near-surface
air temperature (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), skin (or surface) temperature (TSK), shortwave incoming radiation (SWin), and snowfall (SF) had a considerable impact on the development of SGLs. We investigate these variables in conjunction with
rainfall following the findings of Oltmanns et al. (2019).  Other previously
investigated variables which had little to no influence on SGL development
include wind speed and non-climatic variables such as wet-snow albedo (Buzzard
et al., 2018a), which we do not investigate.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><?xmltex \opttitle{Air temperature ($T_{\text{a}}$)}?><title>Air temperature (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)</title>
      <p id="d1e1334">The average summer (JJA) <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is 0.7 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> over the floating tongue
of the glacier, decreasing to <inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at an elevation of
830 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> observed at KPC_U AWS (Turton et al.,<?pagebreak page3883?> 2019a). The
average June, July and August air temperatures at KPC_L (KPC_U) are
1.1 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M90" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2.1 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), 3.6 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
(0.7 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and 0.5 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M95" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2.6 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) respectively (see Fig. 1 for AWS
locations). Typically (from 2009 to 2019), the daily average <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reaches 0 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the second week of June at approximately
390 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (KPC_L location) and late June at 830 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (KPC_U location) (Table 2). From this date until mid-August, the daily air temperatures are often at or just above the melting
point (Fig. 5).</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="d1e1555">The daily air temperature observations from KPC_L
(solid line) and KPC_U (dashed line) from days of the year 150 to 270 for <bold>(a)</bold> 2016, <bold>(b)</bold> 2017, <bold>(c)</bold> 2018 and <bold>(d)</bold> 2019. Grey lines are daily air
temperature from 2009 to 2019 (when available). Vertical solid (dashed) lines represent the opening and closing of SGLs at KPC_L
(KPC_U) approximate elevations (information from Table 2).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f05.png"/>

          </fig>

      <?pagebreak page3885?><p id="d1e1576">In 2016, all 3 summer months observed above-average <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at both observation sites. At higher elevations, daily <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reached 0 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> slightly
earlier than usual (11 June 2016), after a cooler than average start to June,
especially at KPC_U (Fig. 5a). Rather than a gradual increase in air
temperatures throughout the start of June, there was a marked jump in
temperature between 5 and 11 June 2016 (Fig. 5a).  At KPC_U the temperature
increased from <inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.1 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 5 June to 0.9 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
on 11 June and then remained above or close to freezing (<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) until mid-August
(Fig. 5a). Just 16 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> after this temperature jump, SGL formed at
elevations of approximately 870 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (elevation of KPC_U)
(Table 2; Fig. 5a). There were 84 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (70 of which were consecutive)
with above-zero daily <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in 2016 at KPC_L (Table 2). The longest consecutive
period with above-average air temperatures at both KPC_L and KPC_U, from observations between 2009 and 2019, was during 2016. The average June 2016 <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
simulated by PWRF, was above freezing for large parts of the NEGIS region
(Fig. 6a).  Spatially, these higher air temperatures approximately follow the
800 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> contour line, showing some agreement with the
altitude–temperature relationship. However, the July 2016 average air temperatures deviate from this relationship, with warmer air temperatures
above 1200 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for 79<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier but remaining below 800 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> near Zachariae and to the south of the glacier
(Fig. 7a). Average July 2016 <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above 3 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is simulated for
large parts of the NEGIS. At KPC_L, July 2016 was 3.2 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than average, agreeing well with the PWRF data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1805">The monthly average 2 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> air temperature from PWRF runs for June
2016 <bold>(a)</bold>, 2017 <bold>(b)</bold> and 2018 <bold>(c)</bold>. Simulations were not available for 2019.
Contours are every 200 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with labels every 400 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Black arrows are wind
vectors displaying monthly average wind direction and speed, with a
reference vector of 20 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">ms</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> provided.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1864">The monthly average 2 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> air temperature from PWRF runs for July
2016 <bold>(a)</bold>, 2017 <bold>(b)</bold> and 2018 <bold>(c)</bold>. Simulations were not available for 2019.
Contours are every 200 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with labels every 400 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Black arrows are wind
vectors, displaying monthly average wind direction and speed, with a
reference vector of 20 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">ms</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> provided.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f07.png"/>

          </fig>

      <p id="d1e1921">The earliest observation of above-zero daily <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (from 2009 to 2019) was 27 May
2017 at KPC_L. However, air temperatures rapidly decreased again at the end
of May 2017 before reaching 0 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 1 June 2017 (Fig. 5b). Both June and August 2017 average air temperatures at both
observation sites were slightly below average, but the July average
temperature was 0.5 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (0.2 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) warmer than
the 2009–2019 average at KPC_L (KPC_U). Despite the lower June <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in 2017
compared to 2016, the length of time between <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reaching above
0 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at KPC_L and development of melt ponds at
370 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> was also 14 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Table 2; Fig. 5b). However, at
higher altitudes, there were only 5 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above
0 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and melt ponds developing at 870 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> in
2017 (Table 2; Fig. 5b). The cooler air temperature in 2017 relative to the
previous summer is evident over the majority of the NEGIS, with above-average <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> locations restricted to low-elevation pockets (Fig. 6b). The average 2017 <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is spatially more similar to the 2016 situation in July (Fig. 7). In July
2017, <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> greater than 0 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was simulated over much of 79<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, up to elevations greater than 1000 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>
Lower-elevation regions and areas of seasonally exposed rocks reached a daily average <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of 3 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 7b). At higher elevations, the
earliest closure of SGLs within the 4-year period was observed in this year (1 September 2017 at 870 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>), which was approximately
10 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> after the <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> dropped below freezing at KCP_U
(Fig. 5b). Similarly, at lower elevations, 2017 saw the earliest SGL closure
of the 4-year period on 12 September, 18 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> after <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> dropped below freezing at KPC_L (Table 2; Fig. 5b).</p>
      <p id="d1e2247">The smallest total SGL area and latest lake development were observed in
2018. The latest observed onset of warm air temperatures was also in 2018,
when the first recorded above-zero daily <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was on 20 June 2018 (Fig. 5c;
Table 2). This is also evident in the later onset of SGLs at both lower and
higher elevations (Fig. 5c; Table 2). The first 2 weeks of June 2018 were colder than in any other year in the last decade of observations
(Fig. 5c). This is also reflected in the much colder June average <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> over the
NEGIS region from the PWRF 2018 simulations (Fig. 6c).  All 3 summer months in 2018 were characterised by considerably cooler air temperatures over
the area of interest, with above-freezing temperatures restricted to very low-lying parts of the glacier during July (Fig. 7).  June and July 2018 were
both 2.0 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> cooler than average at both observation
locations. Both the number of days above freezing and the consecutive number
of days above freezing were both at their lowest in 2018 (Table 2), with just
8 consecutive days above freezing at KPC_U. In August 2018, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increased and
was close to average conditions throughout August (Fig. 5c). The last day with <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above freezing was observed on 25 August 2018 at KPC_L, the same as
in 2017 (Table 2). However, the latest observation of SGLs at
370 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> was 18 September 2018, the latest in the 4-year period, and SGLs were still visible at the end of the observational period
(Table 2; Fig. 5c).</p>
      <p id="d1e2328">At lower elevations, the conditions in summer 2019 were remarkable. At both
KPC_L and KPC_U, air temperature records were broken in June 2019 (Fig. 5d),
along with most areas of the ice sheet (Tedesco and Fettweis, 2020). There
were 115 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> greater than 0 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with 61 of those being consecutively observed at KPC_L in 2019 (Table 2). Similarly, warm <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
continued past the summer season, with the final observation of <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above
0 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 28 September 2019 (Table 2). On 12 June 2019, a new
daily air temperature record was set at KPC_U of 4.2 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>,
swiftly broken by a new daily record on 13 June of
4.3 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Prior to these two days, the highest temperature had been during the record-breaking summer of July 2012. Similarly, an hourly maximum of 7.9 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was recorded at KPC_U, which is the highest
hourly temperature observation in a decade. Despite a warm start to the
season, air temperatures returned to normal for the remainder of June and
July. A second peak temperature event was recorded in early August 2019. The
highest daily air temperature record at KPC_L (between 2009 and 2019) of
6.9 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was observed on 2 August 2019. The spatial distribution
of the <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in summer 2019 is not analysed as PWRF simulations are not available
for this period.  However, satellite images reveal extensive surface melt pond
formation and very thin and broken sea ice, and a 50 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> calving event of Spalte Glacier was also recorded this year (Fig. S1). When taken
altogether, these characteristics point to particularly warm temperatures
across the whole region in 2019. SGL development started earlier in 2019 than
in 2016 despite both years observing <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above 0 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at a similar
time (6 June 2019 and 7 June 2016) (Table 2; Fig. 5a and d).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Skin temperature (TSK)</title>
      <p id="d1e2499">When daily average TSK is at 0 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the term
TSK<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> is used in this paper to represent likely surface melting. At KPC_L, the average (2009–2019) melt day onset is 18 June,
whereas at KPC_U this date is 28 June. The average number of days with
TSK<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> is 44 at KPC_L and 12 at KPC_U. The average number of
consecutive TSK<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days is 21 at KPC_L and 5 at KPC_U.</p>
      <?pagebreak page3886?><p id="d1e2541">In terms of the skin temperature of the glacier at the KPC_L location, 2016 stands out. The largest number of TSK<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days and longest number
of consecutive TSK<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days were observed in 2016 (64 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>,
of which 47 were consecutive). Similarly, the earliest onset of
TSK<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> in the 4-year period was observed at KPC_L in 2016, on 9 June. At KPC_U, the number of TSK<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days and consecutive
TSK<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days were also above average for 2016; however, the onset of surface melt was later than usual (1 July). Not only was this a standout year at KPC_L from the 4-year study period, but also in the observational
record from 2009. Even the record-breaking melt year of 2012 had fewer
TSK<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days and consecutive melt days.</p>
      <p id="d1e2607">The year 2017 was a relatively average melt season in terms of
TSK<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula>.  The onset of TSK<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> at KPC_L was on
13 June (only 5 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> earlier than average), and there were 46 TSK<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days, of which 17 were consecutive. At KPC_U, the melt
onset was earlier than average (10 June), but the number of TSK<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days and consecutive melt days were lower than average (9 and 3 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> respectively). The latest melt onset date was observed in 2018 at both
locations: 26 June at KPC_L (8 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> later than average) and 3 August at KPC_U (36 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> later than average). At KPC_U, only 1 d observed TSK<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> and only 30 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (13 consecutive) experienced
TSK<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> at KPC_L. Therefore, the shortest melt duration and
latest melt onset at both locations were observed in 2018.</p>
      <p id="d1e2705">The year 2019 has a distinct spatial characteristic in terms of
TSK<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula>. At lower elevations, the number of TSK<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula>
and consecutive TSK<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days are below average (27 and 17
respectively).  However, at higher elevations, melting is above average with
17 TSK<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> days, of which 6 were consecutive. At KPC_U,
TSK<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula> onset was also earlier than<?pagebreak page3887?> average. Despite the above-average <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at PKC_L and KPC_U in 2019, only above-average TSK conditions
were observed at KPC_U.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Incoming shortwave radiation (SWin)</title>
      <p id="d1e2774">In 2016, June and July both experienced positive biases in SWin at both
observation sites. At KPC_L, the SWin was 7.3 and 16.7 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> higher
than average for June and July (respectively). At KPC_U, a positive bias of
10.2 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during June and 6.4 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in July was observed
in 2016. There was also a positive bias of 17.3 and 7.5 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
observed in July 2017 (KPC_L and KPC_U respectively). This increase
in SWin observed at the surface is attributed to less cloud cover in the
region. Cloud cover (fraction) at the KPC stations is estimated from
downwelling longwave radiation and air temperature (both of which are
observed) (Van as 2011).  There was a reduction in cloud cover fraction in
June, July and August in 2016 at both locations. The average summer cloud
cover fraction at both locations is 0.4, whereas in 2016 it was 0.3. The
reduced cloud cover is further evident in the Sentinel images, with many more clear-sky days over the NEGIS in 2016 than 2017 or 2018.</p>
      <?pagebreak page3888?><p id="d1e2833">The SWin was lower than average at both observation sites in June 2017
(<inline-formula><mml:math id="M206" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2.6 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at KPC_U and <inline-formula><mml:math id="M208" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.5 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at
KPC_L). There was a positive bias in SWin of 17.3 and 7.5 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
observed in July 2017 (KPC_L and KPC_U respectively), revealing clear skies
in July. At lower elevations, this positive bias continued into August, with a
monthly average bias of 6.7 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at KPC_L. However, at KPC_U, a
negative bias of <inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.5 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was observed.</p>
      <p id="d1e2928">Despite the cooler conditions at both locations in summer 2018, positive
biases in SWin were observed at both locations in July and August. The July
SWin average was 32.7 and 18.4 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> higher than the 2009–2019
average at KPC_L and KPC_U respectively.  Similarly, the August SWin positive bias was 18.9 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at KPC_L and 17.3 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at
KPC_U. Higher-than-average cloud cover in June (0.45 compared to 0.36 at KPC_U) and lower-than-average cloud cover in July and August provide further evidence of
clearer skies in the mid to late summer. The positive SWin and average
temperatures towards the end of summer 2018, together with a considerable
amount of liquid water from the melted snowpack, likely provided optimal
conditions for the later peak in maximum SGL area and slower freeze-over of the lakes, with many still remaining open at the end of the observational
period in September 2018 (Table 2).</p>
      <p id="d1e2973">Some of the largest anomalies of SWin were observed in summer 2019, with
KPC_L and KPC_U observing monthly negative anomalies of <inline-formula><mml:math id="M217" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30.0 and
<inline-formula><mml:math id="M218" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively for June, despite the high temperatures. Conversely, July saw opposite anomalies, with large positive
anomalies in SWin at both KPC_L (<inline-formula><mml:math id="M220" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>35.4 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and KPC_U
(<inline-formula><mml:math id="M222" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>34.3 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Wm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Similarly, the July average cloud cover was
considerably below average, with a value of 0.24 compared to an average of
0.36 at KPC_U. A persistent high-pressure system was responsible for the
early-season temperature and melt increases seen over the whole ice sheet
(Tedesco and Fettweis, 2020).  However, increased cloudiness observed in the
north-east of the ice sheet (and also simulated by Tedesco and Fettweis, 2020) also contributed to the early melt onset in June.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e3051">The timing of the first (last) daily average <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> greater than 0 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M227" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), number of days with daily
<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> greater than 0 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and earliest development (freeze-up) of melt ponds at elevations closest to the AWS elevations; 370 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> relates to KPC_L elevation and 870 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> relates to
KPC_U elevation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">AWS</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">No. of days <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">SGLs develop at</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> consistently  <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">SGLs freeze over at</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(consecutive)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">370</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">870</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> elevation</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mn mathvariant="normal">370</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">870</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> elevation</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2016</oasis:entry>
         <oasis:entry colname="col2">KPC_L</oasis:entry>
         <oasis:entry colname="col3">7 June</oasis:entry>
         <oasis:entry colname="col4">84 (70<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">21 June</oasis:entry>
         <oasis:entry colname="col6">30 August</oasis:entry>
         <oasis:entry colname="col7">18 September<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">KPC_U</oasis:entry>
         <oasis:entry colname="col3">11 June</oasis:entry>
         <oasis:entry colname="col4">79 (44)</oasis:entry>
         <oasis:entry colname="col5">27 June</oasis:entry>
         <oasis:entry colname="col6">29 August</oasis:entry>
         <oasis:entry colname="col7">15 September</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2017</oasis:entry>
         <oasis:entry colname="col2">KPC_L</oasis:entry>
         <oasis:entry colname="col3">1 June</oasis:entry>
         <oasis:entry colname="col4">85 (39)</oasis:entry>
         <oasis:entry colname="col5">15 June</oasis:entry>
         <oasis:entry colname="col6">25 August</oasis:entry>
         <oasis:entry colname="col7">12 September</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">KPC_U</oasis:entry>
         <oasis:entry colname="col3">10 June</oasis:entry>
         <oasis:entry colname="col4">73 (16)</oasis:entry>
         <oasis:entry colname="col5">15 June</oasis:entry>
         <oasis:entry colname="col6">22 August</oasis:entry>
         <oasis:entry colname="col7">1 September</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018</oasis:entry>
         <oasis:entry colname="col2">KPC_L</oasis:entry>
         <oasis:entry colname="col3">20 June</oasis:entry>
         <oasis:entry colname="col4">66 (38)</oasis:entry>
         <oasis:entry colname="col5">1 July</oasis:entry>
         <oasis:entry colname="col6">25 August</oasis:entry>
         <oasis:entry colname="col7">20 September<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">KPC_U</oasis:entry>
         <oasis:entry colname="col3">26 June</oasis:entry>
         <oasis:entry colname="col4">51 (8)</oasis:entry>
         <oasis:entry colname="col5">12 July</oasis:entry>
         <oasis:entry colname="col6">16 August</oasis:entry>
         <oasis:entry colname="col7">19 September</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019</oasis:entry>
         <oasis:entry colname="col2">KPC_L</oasis:entry>
         <oasis:entry colname="col3">6 June</oasis:entry>
         <oasis:entry colname="col4">115 (61)</oasis:entry>
         <oasis:entry colname="col5">13 June</oasis:entry>
         <oasis:entry colname="col6">29 September</oasis:entry>
         <oasis:entry colname="col7">13 September</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">KPC_U</oasis:entry>
         <oasis:entry colname="col3">12 June</oasis:entry>
         <oasis:entry colname="col4">67 (14)</oasis:entry>
         <oasis:entry colname="col5">13 June</oasis:entry>
         <oasis:entry colname="col6">18 August</oasis:entry>
         <oasis:entry colname="col7">11 September</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3173"><inline-formula><mml:math id="M233" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> One day observed just below 0 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
in this period. <inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> End of sensing period. Melt pond development and freeze-over dates are represented in Fig. 5.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><title>Total precipitation (TP) and snowfall (SF)</title>
      <p id="d1e3633">As precipitation is not observed at the KPC stations, we have used ERA5
data. Following Wang et al. (2019), a high ratio of snowfall to total
precipitation can be inferred as more snow, whereas a low ratio means more
precipitation fell as rain than snow. Between September 2015 and May 2016
(accumulation period), 160 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> of cumulative snowfall fell at the
KPC_U location. The ratio of snowfall to total precipitation was 1.0, meaning
that all precipitation fell as snow. However, during summer 2016, especially
July and August, some rainfall is present in the region (Fig. 8). In July
2016, all 7.7 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> of cumulated precipitation was liquid rain (ratio of
0), and in August, the ratio was 0.82 with 1.9 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> of rainfall. For the
whole summer period (JJA), the ratio was 0.5. Even though the summer was
therefore relatively dry, there was still a larger amount of summer rainfall
in 2016 than in other years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3662">The cumulative total precipitation (TP) and snowfall (SF) from
September (beginning of the accumulation season) to August (end of the melt season) at the KPC_L location from ERA5.</p></caption>
            <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f08.png"/>

          </fig>

      <p id="d1e3671">Total accumulated snowfall between September 2016 and May 2017 at KPC_U was
approximately 130 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> w.e., which is the second-lowest total amount in our 4-year period of interest (Fig. 8). The summer (JJA) 2017 snowfall to total precipitation ratio was 0.96, highlighting the minimal rainfall in this
year: the smallest rainfall total in the 4-year period.</p>
      <p id="d1e3683">The largest amount of cumulated snowfall during the accumulation period
(September to May) occurred in 2018 with 277.9 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 8). In the
other years of interest, the cumulated snowfall total was less than
190 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. There were a number of large snowfall events in 2018 which
contributed to the larger total precipitation. For example, between 22 and
26 February 2018, 56.5 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> w.e. snowfall fell in the region, which is more than the winter (DJF) total snowfall in 2015/16. The regular fresh snow
episodes increased the albedo and reflected shortwave incoming radiation at
the start of the summer season. A thick, fresh snowpack also has a low
density, with more space for liquid water to penetrate instead of sitting on
the surface in SGLs. The switch from SGL area increase (lake development) to
decrease (freeze up) and back again during June 2018 (Fig. 2) was due to a
number of snowfall events in June, which covered any exposed SGLs. The
continuous input of snowfall throughout the year and into summer delayed the
onset of SGL development at 870 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> to mid-July 2018 (Table 2),
which was the latest in the 4-year period.</p>
      <p id="d1e3731">The smallest accumulated snowfall from 2016 to 2019 occurred in 2019, with
only 125 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> falling by May 2019 (Fig. 7). The particularly shallow
snowpack provides less water storage availability and lower albedo values,
which likely led to the earlier SGL detection in 2019 compared to the other
warmer-than-average year of 2016. The later refreeze of SGLs in the previous summer may also have contributed to the earlier detection in 2019. At the end
of August 2019, 21 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> of snowfall occurred, which started the new
accumulation season earlier than in previous years (Fig. 8). Visual<?pagebreak page3889?> analysis
of Sentinel-2 data reveals that between 30 August and 16 September 2019 there were very few melt ponds detected due to thick cloud cover. On 20 September
2019, there is evidence of fresh snowfall and very few pond outlines
remaining, which agrees with the ERA5 analysis of snowfall towards the end of
August and start of September.</p>
      <p id="d1e3750">To summarise the climatic conditions: we find that a combination of above-average air temperatures, a thin pre-summer snowpack, and summer precipitation falling as rain during summer 2016 and 2019 led to the exposure of a large
number of SGLs over a much larger area than observed in the two other years. Conversely, a large amount of snowfall preceding the melt season and below-average air temperatures in 2018 led to the development of very few
SGLs, which were restricted to the lower-elevation areas.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Surface mass balance</title>
      <p id="d1e3762">To assess whether high areas of SGL development relate to the surface mass balance (SMB), the COSIPY SMB estimates from Blau et al. (2021) are used.
COSIPY has been previously tested for a number of glaciers in Tibet (Sauter et
al., 2020) and evaluated for 79<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier by Blau et al. (2021). The SMB estimates from September to the following August for 2015 to 2018 are shown in Fig. 9 (2018 to 2019 was not simulated, as COSIPY uses the PWRF
output as atmospheric input). Spatially, the SMB is similar in 2015/16 to
2016/17 despite the warmer summer of 2016. Low-lying areas of the 79<inline-formula><mml:math id="M263" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier tongue, Zachariae Glacier and areas up to
1000 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> were in a negative SMB area in 2015/16. The following
year, the negative SMB extends further inland and to higher altitudes up to
1300 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. 9). The similarity in SMB between 2015/16 and
2016/17 is further presented in Fig. 10. Vertically, the annual SMB profiles
are similar in 2015/16 and 2016/17 with a negative SMB up to
1400 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>  (Fig. 10a). The summer SMB remains negative up to
elevations of 1600 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> for both 2016 and 2017, which coincides
with the approximate maximum elevations of SGLs in these years (Fig. 4a and
b). The annual and summer SMB in 2018 is considerably different to the
previous 2 years. The annual SMB is negative only at elevations less than 400 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 10), which is restricted to areas of the floating tongue
only (Fig. 9). The summer SMB is also only negative up to
1000 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, which also pinpoints the maximum elevation of SGLs in 2018 (Fig. 4c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e3899">The annual surface mass balance of the 79<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier and NEGIS region from September to the following August in 2015–2016 <bold>(a)</bold>,
2016–2017 <bold>(b)</bold>, and 2017–2018 <bold>(c)</bold>. There are no estimates for 2018–2019 as the PWRF simulation which is used as input to the COSIPY SMB model was only
available until December 2018. The dark black contour marks 1000 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> and
the grey contours are every 100 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e3958">The annual <bold>(a)</bold> and summer (JJA) surface mass balance between
September 2015 and August 2018, averaged over each altitude in 50 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> bands.
Error bars indicate the standard deviation of SMB for each grid in the
respective altitude band.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/3877/2021/tc-15-3877-2021-f10.png"/>

        </fig>

      <p id="d1e3979">It is likely that expansion of melt ponds at higher elevations is partly
controlled by spikes in the SMB immediately prior to pond development,
especially towards the end of the melt season. In summer 2017, SGL development
at higher elevations occurred later in the melt season (Fig. 3), despite the
daily <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> already falling below 0 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The week prior to 20 July
2017 (Fig. 3a), SMB was mostly positive at elevations greater than
900 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S4a in the Supplement); however, for the five days prior to 23 August 2017 (Fig. 3b), SMB returned to negative at these higher altitudes (Fig. S4b), despite an overall trend towards a positive SMB at lower
elevations (Fig. S4c). Therefore, not only the local meteorology, but also the SMB control the SGL development, especially at higher elevations.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e4022">Summer 2016 saw the largest loss of glacier area over the GIS since 2012,
which was the standout, record-breaking melt year since records began (Hanna
et al., 2014a). Summer 2016 also experienced the largest average individual
SGL size (0.07 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), second largest total SGL area and second
fastest rate of SGL area growth in our 4-year record. A combination of above-average air temperatures, particularly in mid-June and July, and a large
amount of liquid precipitation<?pagebreak page3890?> during summer was likely responsible for the
rapid SGL development and peak in total SGL area in late July. Despite the
early observation of <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> above freezing in 2017, the earliest in our 4-year period, the June 2017 average <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was slightly below average. This, combined
with the slightly above-average July 2017 temperatures, likely led to the slower rate of increase in SGL area in 2017 compared to 2016 (Fig. 2) and
peak in maximum area in early August 2017. The thinner snowpack and limited
amount of liquid precipitation falling during summer contributed to the lower
maximum SGL area of 153.26 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2017 compared to 265.39 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2016. In 2018, the spatial distribution of SGLs was
different to the other 3 years, with the largest SGL area at elevations between 300 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and 400 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (Fig. 4). Very few SGLs were
observed at elevations greater than 900 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, leading to smaller average
individual SGL area, as no larger lakes at higher elevations were identified
(Fig. 3). Average individual lake size in 2018 was 0.02 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> compared to 0.07 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2016 and 0.06 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> in 2017 and 2019. A combination of the cooler air temperatures at the start of summer (see
Sect. 3.3.1) and thick snowpack led to the delayed onset of SGL development,
lower maximum altitude of SGLs and lower total SGL area in 2018
(Fig. 3). Total SGL area was largest in 2019, even though the average size of
individual SGLs was the same as in 2017 (0.06 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). A combination
of higher air temperatures, more days above freezing and a smaller snowpack at
the start of the melt season all contributed to a significantly higher total
SGL area in 2019 (Fig. 4). The peak melt pond area at the start of August 2019
coincides with an air temperature peak of 6.9 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 2 August
at KPC_L, the warmest daily <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ever recorded here (Fig. 5).</p>
      <?pagebreak page3891?><p id="d1e4186">Several years within the last decade have been characterised by high air
temperature and extreme melting, including two years within our study period
(2016 and 2019). With a projected increase in air temperatures and inland
expansion of SGLs into the year 2100 (Leeson et al., 2015; Igneczi et al.,
2016), it is important to understand the linkages between different climatic
variables and the spatial distribution and temporal evolution of SGLs in the
north-east of Greenland. Furthermore, the role of supraglacial melting within the glacial–hydrologic system is in need of further assessment. In a number of studies, enhanced surface melting has contributed to accelerated glacier
velocity (Bartholomew et al., 2011; Rathmann et al., 2017); however, in other Greenlandic glaciers, especially land-terminating glaciers, ice velocity has
decreased with warmer summers (Sundal et al., 2011; Tedstone et al., 2015).</p>
      <p id="d1e4189">The spatial spread of the SGLs on 79<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier from lower to higher
elevations as the melt season progresses is also seen on Leverett Glacier in
south-western Greenland (Bartholomew et al., 2011). In south-western Greenland, as the melt season develops, runoff from up-glacier (higher-elevation) regions contributes to subglacial discharge at the base of the land-terminating
glacier due to a larger melt area and higher air temperatures (Bartholomew et al., 2011). A similar transport of meltwater from surface to base is hypothesised for 79<inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier also.  Rathmann et al. (2017) observed
a seasonal increase in ice velocity following the particularly warm summer of
2016. An extension of the Rathmann et al. (2017) study and estimation of the
volume of water potentially interacting with the base of the glacier are important areas of future research.</p>
      <p id="d1e4210">The rapid increase in SGL area over 79<inline-formula><mml:math id="M293" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier during June in most
years was also observed at Petermann Glacier at 81<inline-formula><mml:math id="M294" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the
north-west of Greenland. Other similarities in SGL characteristics are found between the 79<inline-formula><mml:math id="M295" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and Petermann glaciers, including the spatial
distribution of the SGLs and the onset of above-freezing air temperatures at
the start of June (Macdonald et al., 2018). The only summer with overlap
between the current study and the Macdonald et al. (2018) study is 2016. In
both locations, this year was characterised by larger total SGL area and
warmer-than-average air temperatures, highlighting the relationship between SGL development and climatic factors across the north of Greenland. However,
as noted by Macdonald et al. (2018) and observed in the current study in 2018,
the low elevation of these regions dictates that, even in cool years, SGLs still form on the lower sections of the glaciers.</p>
      <p id="d1e4241">Langley et al. (2016) hypothesised that SGL expansion in the early part of the season is particularly rapid, as even small changes in air temperature can
increase the total lake area. A rapid increase in lake area was seen at the
start of the 2016 and 2019 melt seasons over 79<inline-formula><mml:math id="M296" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier; however, in 2017, late-summer temperatures led to later expansion of SGLs.  The large rate of increase at the start of summer 2016 (Fig. 2) is likely skewed by the
slightly lower temporal resolution in 2016 (approximately 3–7 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>)
compared to the other years (1–2 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>). In 2016 and 2017, there was a
lower temporal coverage than the following years as only one Sentinel
satellite was in orbit and data quality was poorer (Hochreuther et al.,
2021). However, upon visual inspection of the satellite images, 2016 also saw
a rapid expansion in SGLs similar to 2019.</p>
      <p id="d1e4269">Warmer summer air temperatures alone do not always lead to enhanced melting.
For Shackleton Ice Shelf in Antarctica, the years with largest SGL area and volume were not always in the same years as the highest summer
near-surface air temperatures (Arthur et al., 2020). With only 4 years of data in the present study, no major conclusions can be drawn on this; however, it is clear that precipitation also had an impact on SGL area and development
over north-eastern Greenland. In Buzzard (2018b), the relationship between snowfall and melt pond depth was not simple or linear. A small amount of
snowfall will promote melt pond development, as there is more water available
at the surface; however, a high amount of accumulation can bury the melt pond (especially if the surface has started to freeze towards the end of summer)
and reduce melting (Buzzard et al., 2018b). We also see evidence of this
non-linear response. A combination of a large amount of snowfall prior to the
2018 melt season and below-average summer air temperatures led to a lower total area of SGLs and positive mass balance over the majority of the
glacierised area (Figs. 9 and 10). With a thicker snowpack, it took longer for the SGLs to form, as there was more pore space for water to percolate through
before pooling. A thick snowpack was also responsible for a 20 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> delay
between above-zero air temperatures and runoff in the south-west of Greenland, as the meltwater initially refroze within the cold snowpack (Bartholomew et al., 2011). In the present study, the duration between above-zero air
temperatures and melt pond development varies from 7 to 14 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> at KPC_L
and from 1 to 16 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> at KPC_U. The shortest duration was observed in 2019, which had the thinnest snowpack of the 4-year period. Similar conclusions were found for Tibetan glaciers (Mölg et al., 2012) and Shackleton Ice Shelf in the Antarctic (Arthur et al., 2020).</p>
      <p id="d1e4296">Conversely, the year with the smallest snowfall amount (2018–2019
accumulation season) was not followed by the summer with the fewest melt
ponds. However, the much higher air temperatures and late summer freeze-up of SGLs in 2018 played a bigger role. Summer 2016 saw the second-largest total SGL area and spatial distribution of SGLs. This year also saw a large amount
of precipitation fall as rainfall in summer. Rainfall is additional liquid for
the surface of the glacier, provides heat to the snowpack, and refreezes into solid ice lenses, which preconditions the glacier surface for further SGL
development (Machguth et al., 2016). Rainfall associated with summer storms
has been linked to extreme melting events in southern Greenland by Oltmanns
et al. (2019) and enhanced ice velocity in western Greenland by Doyle
et al. (2015). Similarly, Tedesco and Fettweis (2020) concluded that low snow
accumulation was also<?pagebreak page3892?> partly responsible for the extensive melting along much
of the coast of Greenland in 2019.</p>
      <p id="d1e4299">Relationships between large-scale temporal and spatial anomalies within the
atmosphere, termed teleconnections, have been found to influence the climate
and mass balance of Greenland (Tedesco et al., 2013; Lim et al., 2016). With
only 4 years of data in the current study, we are unable to draw conclusions about the role of teleconnections in the development of SGLs;
however, there is evidence that combinations of teleconnection indices play a role in the near-surface climate and therefore SGL development in the
north-east of Greenland. In 2016 and 2019, the average summer (JJA) North Atlantic Oscillation (NAO) index was strongly negative (<inline-formula><mml:math id="M302" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>1.36 for 2016,
<inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.23 for 2019) (see Supplement for teleconnection data).  Simultaneously,
both the summer East Atlantic (EA) index and the Greenland Blocking Index
(GBI) were strongly positive in both of these years. In summer 2016, the EA
(GBI) summer average was 1.44 (1.73). Similarly, in 2019 the JJA average EA
index (GBI) was 1.1 (2.26). This combination of strong negative NAO and strong positive EA also occurred in both summer 2010 and 2012, when extensive
melting was observed over the GIS (Lim et al., 2016). In terms of
teleconnections, the biggest differences between the 2016/19 and the 2017/18 summers were the NAO and GBI summer indices. In 2017 the NAO index was positive
in June and July. In 2018 the summer NAO index was strongly positive (1.74),
with all summer months observing a positive NAO signal. The GBI for summers 2017 and 2018 was weakly negative (<inline-formula><mml:math id="M304" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.03) and negative (<inline-formula><mml:math id="M305" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.57)
respectively. In terms of the teleconnection indices evaluated here, summer
2017 appears to the be the intermediate or transition year between a
particularly strong negative NAO in 2016 and a strong positive NAO in 2018. A
decreasing trend in summer NAO since 1981 has been previously identified and
is believed to be partly responsible for record-breaking warm temperatures
over Greenland in the most recent decade (Hanna et al., 2014b).</p>
      <p id="d1e4330">The relationship between teleconnections and precipitation is more complicated
and is often only significant in the southern part of Greenland, where the majority of the precipitation falls. Bjork et al. (2018) identified a positive
relationship between NAO and precipitation in eastern Greenland: there is more
precipitation during positive NAO years. The year with the largest cumulative
precipitation amounts was the 2017–2018 accumulation season, which was also
characterised by a strong positive NAO index. However, the relationship
between NAO and precipitation for north-eastern Greenland cannot be assessed with certainty in this study.</p>
      <p id="d1e4333">Although we present only 4 years of results here and previous studies in this region are sparse, we are confident that SGLs are a persistent feature in
the NEGIS and 79<inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N region. Sundal et al. (2009) observed SGLs
between 2003 and 2007 using MODIS data. With the availability of Sentinel data
(10 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> resolution), the SGL areas are less erroneous than previously
stated using lower-resolution MODIS data (250 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) (Hochreuther et al.,
2021).  There is an increase in the maximum altitude of SGL detection between
the early 2000s study of Sundal et al. (2009) (1200 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) and the results presented here (1600 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>). The lakes at these higher
elevations are larger and therefore would have been detected by the MODIS data
in the Sundal et al. (2009) study had they been present. Therefore, it is likely that maximum lake altitude has increased over time.</p>
      <p id="d1e4404">This is not surprising given an increasing air temperature trend of
0.8 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over 79<inline-formula><mml:math id="M312" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (Turton
et al., 2019a) and model suggestions of inland expansion in this area into the 21st century (Ignéczi et al., 2016). Leeson et al. (2015) concluded that
maximum lake altitude could reach up to 2221 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> with RCP8.5 future projections. Although there are a number of assumptions made in our
comparison to Sundal et al. (2009), it is possible that inland expansion of
lakes is occurring under increased air temperatures in this region.</p>
      <p id="d1e4458">Under certain high-melt years, surface rivers have been observed for a number
of northern Greenland glaciers, including 79<inline-formula><mml:math id="M314" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N (Bell et al.,
2017). While we do not consider meltwater channels in our analysis and focus
only on SGLs, a number of linear features similar to rivers are clearly
visible in the Sentinel data (Fig. S1). This highlights that more liquid water
is likely present on and within the glacier than discussed here. There is even
some evidence of the persistence of liquid water in melt lakes during the
winter season on 79<inline-formula><mml:math id="M315" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (Schröder et al., 2020). It is
hypothesised that lakes beneath the surface were formed in particularly warm
years (such as 2019) and then subsequently covered by a thin ice lens or snow
(Schröder et al., 2020).</p>
      <p id="d1e4479">Estimates of the SGL volume are not provided in this study, which is unusual
for these types of studies (e.g. Pope et al., 2016.; Arthur et al., 2020). We hypothesise that SGLs in this region are much deeper than those observed in
the west of Greenland (of the order of 0–10 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). Neckel et al. (2020) recorded the depth of an SGL on 79<inline-formula><mml:math id="M317" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier, which, at the edge of the lake, had a depth of 10.8 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The same lake drained suddenly in
September 2017, and analysis of the height difference from a full to empty
lake using DEMs revealed a subsidence of 50 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in the centre of the
lake (Neckel et al., 2020). Therefore, applying the same albedo-depth
calculation to the lakes in north-eastern Greenland as in western Greenland would largely underestimate the volumes. In situ observations of these lakes are required to calculate depth and volume with a different albedo-depth
coefficient.  Fieldwork is planned for this region to observe the depths of SGLs.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e4524">In this study we provide a multi-year analysis of the area of SGLs over 79<inline-formula><mml:math id="M320" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier (north-eastern Greenland) and investigate the atmospheric and topographic controls of the<?pagebreak page3893?> evolution of the lakes. SGLs have been
automatically detected using Sentinel-2 data from 2016 to 2019.  The melt detection algorithm implemented here and developed by Hochreuther et
al. (2021) is automated, meaning that this work can be continued in the future
to analyse a long-term time series of SGL evolution. Our findings would
ideally now be expanded to include volume estimates and to model the surface
and subglacial hydrology to provide an estimate of the volume of freshwater entering the ocean.</p>
      <p id="d1e4536">Whilst the SGL location is primarily determined by topographic depressions and
the slope of the ice sheet, the occurrence of lakes within these depressions
relies on the local meteorology and SMB. Similarly to the spatial distribution, the maximum size of individual lakes is controlled by topography. At higher
elevations, larger lakes form due to a lower slope angle (Fig. 4). The larger
total SGL areas in 2016 and 2019 were due to lakes developing at higher
elevations than in 2017 and 2018, as opposed to individual lakes becoming
larger. SGLs refreeze and melt in the same locations above the grounding line
each year, but maximum inland expansion of the lakes depends on climatic
conditions.</p>
      <p id="d1e4539">The two key climatic variables controlling the development of the SGLs are air
temperature and snowfall. Below-average air temperatures and high snowfall accumulation prior to the melt season of 2018 contributed to reduced lake
extent, a reduced amplitude in the seasonal cycle of lake evolution, and late-season freeze-up of the SGLs. These climatic conditions led to a largely
positive mass balance at all altitudes except the very lowest-lying regions. Conversely, in the prior two years, surface mass balance was negative
for a large portion of 79<inline-formula><mml:math id="M321" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier and the surrounding
area. Largely this was driven by the above-average air temperature, evident in both the in situ AWS data (Fig. 5) and regional atmospheric modelling output (Figs. 6 and 7). The duration between onset of above-zero air
temperatures and SGL development varies between 1 and 16 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>, depending
on the year and elevation. The snowpack thickness prior to the warm air
temperatures likely also has an influence on this duration.</p>
      <p id="d1e4559">The role of clouds in melt production over the Greenland Ice Sheet is often
studied (e.g. Bennartz et al., 2013). Within the 4 years, the warm summer of 2016 coincided with a positive bias in SWin and a reduction in cloud cover; however, the warm June of 2019 was characterised by negative biases in
SWin. Similarly, the relatively cool summer of 2018 was characterised by
positive anomalies in SWin and higher-than-average cloud cover in June. With just 4 years of data in the current study, no clear conclusions can be drawn about the role of clouds in the development of SGLs in this region.</p>
      <p id="d1e4563">Whilst 2019 was record breaking in terms of melt over much of the Greenland
Ice Sheet, in fact second only to 2012 (Tedesco and Fettweis, 2020), the summer of 2016 was only warm and extreme in the north-eastern region. The extreme summer temperatures led to extensive SGL formation over 79<inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N Glacier as well as subsequent ice velocity acceleration (Rathmann et al., 2017). Similarly, 2019 was not a record-breaking melt year in the north-east of Greenland, and at lower elevations, the number of melt days
(TSK<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mtext>melt</mml:mtext></mml:msub></mml:math></inline-formula>) and the duration of melting were less than in other years. This highlights the importance of regional studies of extreme melting
as well as Greenland Ice Sheet-wide studies.</p>
      <p id="d1e4584">There is some evidence of inland expansion of lakes between the Sundal
et al. (2009) study, which looked at SGLs between 2003 and 2007, and the
present findings from 2016 to 2019. The highest elevation of SGLs in the early
2000s was 1200 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, whereas in the late 2010s, SGLs above 1600 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> were observed. This is in line with global climate model projections for inland expansion of SGLs and the ablation zone under
climate change (Ignéczi et al., 2016). The north-east of Greenland is expected to undergo the largest changes in SMB and SGLs by 2100 and therefore
should feature in future atmosphere–glaciohydrology studies.</p>
</sec>

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

      <p id="d1e4633">The daily average surface mass balance data are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.4434259" ext-link-type="DOI">10.5281/zenodo.4434259</ext-link> (Turton et al., 2021). For higher temporal resolutions, see
Blau et al. (2021). The daily average PWRF data are available at <ext-link xlink:href="https://doi.org/10.17605/OSF.IO/53E6Z" ext-link-type="DOI">10.17605/OSF.IO/53E6Z</ext-link> (Turton, 2019b). For higher temporal resolutions, see
Turton et al. (2020). Lake outline polygons and cloud masks are available on
request and are currently being uploaded to Pangaea Data Centre, pending a
DOI.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4642">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-15-3877-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-15-3877-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4651">JVT wrote the manuscript and conducted the climatological analysis. PH
developed and applied the automatic detection algorithm for the SGLs and
assisted in discussing the results. NR assisted in developing the algorithm and writing the manuscript. MTB conducted the SMB modelling and
analysis.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4657">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4663">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="d1e4669">We are grateful to the European Space Agency (ESA) for providing the
Sentinel-2 data and to the Greenland and Denmark Geological Survey (GEUS)
for maintaining the AWS and providing the data. We thank the German Federal Ministry for Education and Research (BMBF) for funding this work as
part of the GROCE project (Greenland Ice Sheet/Ocean Interaction). We also thank the High-Performance Computing Centre
(HPC) at the University of Erlangen-Nürnberg's Regional Computation
Centre<?pagebreak page3894?> (RRZE) for their support and resources. We also thank two anonymous
reviewers and the editor Stef Lhermitte for their insights and feedback.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4674">This research has been supported by the Bundesministerium für Bildung und Forschung (grant no. 03F0778F and 03F0855F).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4680">This paper was edited by Stef Lhermitte and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>The distribution and evolution of supraglacial lakes on 79°&thinsp;N Glacier (north-eastern Greenland) and interannual climatic controls</article-title-html>
<abstract-html><p>The Nioghalvfjerdsfjorden glacier (also known as the 79° North Glacier) drains approximately 8&thinsp;% of the Greenland Ice Sheet. Supraglacial lakes (SGLs), or surface melt ponds, are a persistent summertime feature and are
thought to drain rapidly to the base of the glacier and influence seasonal ice
velocity. However, seasonal development and spatial distribution of SGLs in
the north-east of Greenland are poorly understood, leaving a substantial error in the estimate of meltwater and its impacts on ice velocity. Using results from an automated detection of melt ponds, atmospheric and surface mass
balance modelling, and reanalysis products, we investigate the role of specific climatic conditions in melt onset, extent, and duration from 2016 to 2019. The summers of 2016 and 2019 were characterised by above-average air temperatures, particularly in June, as well as a number of rainfall events, which led to
extensive melt ponds to elevations up to 1600&thinsp;m. Conversely, 2018 was
particularly cold, with a large accumulated snowpack, which limited the
development of lakes to altitudes less than 800&thinsp;m. There is evidence
of inland expansion and increases in the total area of lakes compared to the
early 2000s, as projected by future global warming scenarios.</p></abstract-html>
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