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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</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/hess-20-1197-2016</article-id><title-group><article-title>Stable oxygen isotope variability in two contrasting glacier <?xmltex \hack{\newline}?>river
catchments in Greenland</article-title>
      </title-group><?xmltex \runningtitle{Stable oxygen isotope variability}?><?xmltex \runningauthor{J. C. Yde et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Yde</surname><given-names>Jacob C.</given-names></name>
          <email>jacob.yde@hisf.no</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Knudsen</surname><given-names>Niels T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Steffensen</surname><given-names>Jørgen P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Carrivick</surname><given-names>Jonathan L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9286-5348</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Hasholt</surname><given-names>Bent</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Ingeman-Nielsen</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0776-4869</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kronborg</surname><given-names>Christian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Larsen</surname><given-names>Nicolaj K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff7">
          <name><surname>Mernild</surname><given-names>Sebastian H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0797-3975</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Oerter</surname><given-names>Hans</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Roberts</surname><given-names>David H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Russell</surname><given-names>Andrew J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Faculty of Engineering and Science, Sogn og Fjordane University
College, Sogndal, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geoscience, University of Aarhus, Aarhus, Denmark</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Centre for Ice and Climate, University of Copenhagen, Copenhagen,
Denmark</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Geography and water@leeds, University of Leeds, Leeds, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Geosciences and Natural Resource Management, University
of Copenhagen, Copenhagen, Denmark</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Arctic Technology Centre, Technical University of Denmark, Kgs.
Lyngby, Denmark</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Antarctic and Sub-Antarctic Program, Universidad de Magallanes, Punta Arenas, Chile</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Alfred Wegener Institute, Helmholtz Centre for Polar and Marine
Research, Bremerhaven, Germany</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Department of Geography, University of Durham, Durham, UK</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>School of Geography, Politics &amp; Sociology, Newcastle University,
Newcastle upon Tyne, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jacob C. Yde (jacob.yde@hisf.no)</corresp></author-notes><pub-date><day>21</day><month>March</month><year>2016</year></pub-date>
      
      <volume>20</volume>
      <issue>3</issue>
      <fpage>1197</fpage><lpage>1210</lpage>
      <history>
        <date date-type="received"><day>15</day><month>April</month><year>2015</year></date>
           <date date-type="rev-request"><day>18</day><month>June</month><year>2015</year></date>
           <date date-type="rev-recd"><day>18</day><month>February</month><year>2016</year></date>
           <date date-type="accepted"><day>29</day><month>February</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016.html">This article is available from https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016.pdf</self-uri>


      <abstract>
    <p>Analysis of stable oxygen isotope (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O)
characteristics is a useful tool to investigate water provenance in glacier
river systems. In order to attain knowledge on the diversity of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O variations in Greenlandic rivers, we examined two contrasting
glacierised catchments disconnected from the Greenland Ice Sheet (GrIS). At the
Mittivakkat Gletscher river, a small river draining a local temperate
glacier in southeast Greenland, diurnal oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
occurred with a 3 h time lag to the diurnal oscillations in run-off.
The mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.68 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 ‰ during the peak flow period. A hydrograph separation
analysis revealed that the ice melt component constituted 82 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %
of the total run-off and dominated the observed variations during peak flow
in August 2004. The snowmelt component peaked between 10:00 and 13:00 local time,
reflecting the long travel time and an inefficient distributed subglacial
drainage network in the upper part of the glacier. At the Kuannersuit Glacier
river on the island Qeqertarsuaq in west Greenland, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
characteristics were examined after the major 1995–1998 glacier surge event.
The mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.47 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.55 ‰. Despite large spatial variations in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
values of glacier ice on the newly formed glacier tongue, there
were no diurnal oscillations in the bulk meltwater emanating from the
glacier in the post-surge years. This is likely a consequence of a tortuous
subglacial drainage system consisting of linked cavities, which formed
during the surge event. Overall, a comparison of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
compositions from glacial river water in Greenland shows distinct
differences between water draining local glaciers and ice caps (between
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.0 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.7 ‰) and the GrIS
(between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.9 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.2 ‰). This
study demonstrates that water isotope analyses can be used to obtain
important information on water sources and the subglacial drainage system
structure that is highly desired for understanding glacier hydrology.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>There is an urgent need for improving our understanding of the controls on
water sources and flow paths in Greenland. As in other parts of the Arctic,
glacierised catchments in Greenland are highly sensitive to climate change
(Milner et al., 2009; Blaen et al., 2014). In recent decades freshwater
run-off from the Greenland Ice Sheet (GrIS) to adjacent seas has increased
significantly (Hanna et al., 2005, 2008; Bamber et al., 2012; Mernild and
Liston, 2012), and the total ice mass loss from the GrIS contributes with
0.33 mm sea level equivalent yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to global sea level rise (1993–2010;
Vaughan et al., 2013). In addition, ice mass loss from local glaciers (i.e.
glaciers and ice caps peripheral to the GrIS; Weidick and Morris, 1998) has
resulted in a global sea level rise of 0.09 mm sea level equivalent yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (1993–2010; Vaughan et al., 2013). The changes in run-off are
coupled to recent warming in Greenland (Hanna et al., 2012, 2013; Mernild et
al., 2014), an increasing trend in precipitation and changes in
precipitation patterns (Bales et al., 2009; Mernild et al., 2015a), and a
decline in albedo (Bøggild et al., 2010; Tedesco et al., 2011; Box et
al., 2012; Yallop et al., 2012; Mernild et al., 2015b). Also, extreme
surface melt events have occurred in recent years (Tedesco et al., 2008,
2011; van As et al., 2012), and in July 2012 more than 97 % of the GrIS
experienced surface melting (Nghiem et al., 2012; Keegan et al., 2014). In
this climate change context, detailed catchment-scale studies on water
source and water flow dynamics are urgently needed to advance our knowledge
of the potential consequences of future hydrological changes in Greenlandic
river catchments.</p>
      <p>Analysis of stable oxygen isotopes is a very useful technique to investigate
water provenance in glacial river systems. Stable oxygen isotopes are
natural conservative tracers in low-temperature hydrological systems (e.g.
Moser and Stichler, 1980; Gat and Gonfiantini, 1981; Haldorsen et al., 1997;
Kendall et al., 2014). Consequently, oxygen isotopes can be applied to
determine the timing and origin of changes in water sources and flow paths
because different water sources often have isotopically different
compositions due to their exposure to different isotopic fractionation
processes. Since the 1970s, this technique has been widely used for
hydrograph separation (Dinçer et al., 1970). Most often a conceptual
two-component mixing model is applied, where an old-water component (e.g.
groundwater) is mixed with a new-water component (e.g. rain or snowmelt), assuming
that both components have spatial and temporal homogeneous compositions. The
general mixing model is given by the equation

              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>Q</mml:mi><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where the discharge <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> and the isotopic value <inline-formula><mml:math display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> are equal to the sum of their
components. This simplified model has limitations when a specific
precipitation event is analysed because the water isotope composition in
precipitation (new water) may vary considerably during a single event (e.g. McDonnell
et al., 1990) and changes in contributions from secondary old-water reservoirs may
occur (e.g. Hooper and Shoemaker, 1986). Nevertheless, water isotope mixing
models still provide valuable information on spatial differences in
hydrological processes on diurnal to annual timescales (Kendall et al.,
2014).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Location map <bold>(a)</bold> of the study areas at <bold>(b)</bold> the Mittivakkat Gletscher
river, southeast Greenland (image from Landsat 8 OLI on 3 September 2013),
and at <bold>(c)</bold> the Kuannersuit Glacier river, west Greenland (image from Landsat 8
OLI on 8 July 2014).</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f01.jpg"/>

      </fig>

      <p>In glacier-fed river systems, the principal water sources to bulk run-off
derive from ice melt, snowmelt, rainfall and groundwater components.
Depending on the objectives of the study and on the environmental setting,
hydrograph separation of glacial rivers has been based on assumed endmember
isotope mixing between two or three prevailing components (Behrens et al.,
1971, 1978; Fairchild et al., 1999; Mark and Seltzer, 2003; Theakstone,
2003; Yde and Knudsen, 2004; Mark and McKenzie, 2007; Yde et al., 2008;
Bhatia et al., 2011; Kong and Pang, 2012; Ohlanders et al., 2013; Blaen et
al., 2014; Dahlke et al., 2014; Hindshaw et al., 2014; Meng et al., 2014;
Penna et al., 2014; Rodriguez et al., 2014; Zhou et al., 2014). As
glacierised catchments vary in size, altitudinal range, hypsometry, degree
of glaciation, and thermal and morphological glacier types, isotope
hydrograph separation often requires that the primary local controls on
run-off generation are identified in order to analyse the variability in
isotope time series. In detailed studies it may even be necessary to divide
a main component, such as ice melt, into several ice facies sub-components
(Yde and Knudsen, 2004). However, in highly glacierised catchments the
variability in oxygen isotope composition is generally controlled by
seasonal snowmelt and ice melt with episodic inputs of rainwater, whereas
contributions from shallow groundwater flow may become important in
catchments, where glaciers comprise a small proportion of the total area
(e.g. Blaen et al., 2014).</p>
      <p>In this study, we examine the stable oxygen isotope composition in two
Greenlandic glacier river systems, namely the Mittivakkat Gletscher river (13.6 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which drains a local non-surging glacier in southeast Greenland,
and the Kuannersuit Glacier river (258 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which drains a local glacier on
the island Qeqertarsuaq, west Greenland. The latter experienced a major
glacier surge event in 1995–1998. Our aim is to gain insights into the
variability and controls of the oxygen isotope composition in contrasting
glacierised river catchments located peripheral to the GrIS (i.e. the river
systems do not drain meltwater from the GrIS). Besides a study by Andreasen (1984) at the glacier Killersuaq in west Greenland, this is the first study
of oxygen isotope dynamics in rivers draining glacierised catchments
peripheral to the GrIS.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study sites</title>
<sec id="Ch1.S2.SS1">
  <title>Mittivakkat Gletscher river, Ammassalik Island, southeast
Greenland</title>
      <p>Mittivakkat Gletscher (65<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 37<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W) is the
largest glacier complex on Ammassalik Island, southeast Greenland (Fig. 1). The entire glacier covered an area of 26.2 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in 2011 (Mernild et
al., 2012) and has an altitudinal range between 160 and 880 m a.s.l.
(Mernild et al., 2013a). Bulk meltwater from the glacier drains primarily
westwards to the proglacial Mittivakkat Valley and flows into the Sermilik
Fjord. The sampling site is located at a hydrometric station 1.3 km
down-valley from the main subglacial meltwater portal. The hydrological
catchment has an area of 13.6 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, of which 9.0 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> is
glacierised (66 %). The maritime climate is Low Arctic with annual
precipitation ranging from 1400 to 1800 mm water equivalent (w.e.) yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(1998–2006) and a mean annual air temperature (MAAT) at 515 m a.s.l. of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.2 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (1993–2011; updated from Mernild et al., 2008a). There are no
observations of contemporary permafrost in the area, and the proglacial
vegetation cover is sparse.</p>
      <p>The glacier has undergone continuous recession since the end of the Little
Ice Age (Knudsen et al., 2008; Mernild et al., 2011). In recent decades the
recession has accelerated and the glacier has lost approximately 29 % of
its volume between 1994 and 2012 (Yde et al., 2014), and surface mass
balance measurements indicate a mean thinning rate of 1.01 m w.e. yr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
between 1995–1996 and 2011–2012 (Mernild et al., 2013a). Similar to other
local glaciers in the Ammassalik region, Mittivakkat Gletscher is severely
out of contemporary climatic equilibrium (Mernild et al., 2012, 2013b) and
serves as a representative location for studying the impact of climate
change on glacierised river catchments in southeast Greenland (e.g. Mernild
et al., 2008b, 2015b; Bárcena et al., 2010, 2011; Kristiansen et al.,
2013; Lutz et al., 2014).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Kuannersuit Glacier river, Qeqertarsuaq, west Greenland</title>
      <p>Kuannersuit Glacier (69<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 53<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W) is located in
central Qeqertarsuaq (formerly Disko Island), west Greenland (Fig. 1). It
is an outlet glacier descending from the Sermersuaq ice cap and belongs to
the Qeqertarsuaq–Nuussuaq surge cluster (Yde and Knudsen, 2007). In 1995,
the glacier started to surge down the Kuannersuit Valley with a frontal
velocity up to 70 m per day (Larsen et al., 2010). By the end of 1998 or
beginning of 1999, the surging phase terminated and the glacier went into
its quiescent phase, which is presumed to last more than 100 years (Yde
and Knudsen, 2005a). The 1995–1998 surge of Kuannersuit Glacier is one of
the largest land-terminating surge events ever recorded; the glacier
advanced 10.5 km down-valley, and approximately 3 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of ice was moved
to form a new glacier tongue (Larsen et al., 2010).</p>
      <p>The Kuannersuit Glacier river originates from a portal at the western side of
the glacier terminus, and the sampling site is located 200 m down-stream (Yde
et al., 2005a). The catchment area has an altitude range of 100–1650 m a.s.l. and covers 258 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, of
which Kuannersuit Glacier constitutes 103 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of the total glacierised area of 168 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Yde and Knudsen,
2005a). The valley floor consists of unvegetated outwash sediment; dead-ice
deposits; and ice-cored, vegetated terraces. The proglacial area of the
catchment is situated in the continuous permafrost zone (Yde and Knudsen,
2005b), and the climate is polar continental (Humlum, 1999). There are no
meteorological observations from the area, but at the coastal town of
Qeqertarsuaq (formerly Godhavn), located 50 km to the southwest, the MAAT
was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in 2011 and 2012, respectively
(Cappelen, 2013).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Summary of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O mean and range in bulk water samples
at the Mittivakkat Gletscher river.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Year</oasis:entry>  
         <oasis:entry colname="col2">Campaign period</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>mean</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>max</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>min</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">2003</oasis:entry>  
         <oasis:entry colname="col2">11–13 Aug</oasis:entry>  
         <oasis:entry colname="col3">4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.42</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.30</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.65</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2004</oasis:entry>  
         <oasis:entry colname="col2">8–22 Aug</oasis:entry>  
         <oasis:entry colname="col3">103</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.55</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.19</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.91</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2005</oasis:entry>  
         <oasis:entry colname="col2">30 May–12 Jun</oasis:entry>  
         <oasis:entry colname="col3">29</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.71</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.35</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.16</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">23–26 Jul</oasis:entry>  
         <oasis:entry colname="col3">19</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.10</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.74</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.41</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">11–19 Aug</oasis:entry>  
         <oasis:entry colname="col3">44</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.73</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.13</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.43</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2006</oasis:entry>  
         <oasis:entry colname="col2">11–16 Aug</oasis:entry>  
         <oasis:entry colname="col3">11</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.85</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.26</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.42</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2007</oasis:entry>  
         <oasis:entry colname="col2">2–10 Aug</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.69</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.07</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.11</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2008</oasis:entry>  
         <oasis:entry colname="col2">29 May–11 Jun<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">28</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.92</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.92</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">10–16 Aug</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.84</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.47</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2009</oasis:entry>  
         <oasis:entry colname="col2">8–16 Aug</oasis:entry>  
         <oasis:entry colname="col3">17</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.88</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.56</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.13</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.90}[.90]?><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Collected at a sampling site ca. 500 m closer to the glacier
front.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Methods</title>
<sec id="Ch1.S3.SS1">
  <title>Sampling protocol and isotope analyses</title>
      <p>In total, 287 oxygen isotope samples were collected from the Mittivakkat Gletscher
river during the years 2003–2009 (Table 1). Most of the sampling
campaigns were conducted in August at the end of the peak flow period (i.e.
the summer period with relatively high run-off). The most intensively sampled
period was from 8  to 22 August 2004, where sampling was conducted
with a 4 h frequency supplemented by short periods of higher frequency
sampling. In the years 2005 and 2008, meltwater was also collected during
the early melt season (i.e. the period before the subglacial drainage system
is well established) to evaluate the seasonal variability in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal. An additional 40 river samples were collected for
multi-sampling tests.</p>
      <p>During five field seasons in July 2000, 2001, 2002, 2003 and 2005, a total
of 180 oxygen isotope samples were collected from the Kuannersuit Glacier river
(Table 2), and another 44 river samples were collected for multi-sampling
tests. In addition, 13 ice samples were obtained along a longitudinal
transect at the centreline of the newly formed glacier tongue with 500 m
sampling increments in July 2001, and 23 ice samples were collected along a
transverse transect with 50 m sampling increments in July 2003. The
transverse transect crossed the longitudinal transect at a distance of 3250 m from the glacier front. Seven samples of rainwater were collected in a
Hellmann rain gauge located in the vicinity of the glacier terminus in July
2002.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Summary of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O mean and range in bulk water samples
at the Kuannersuit Glacier river.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Year</oasis:entry>  
         <oasis:entry colname="col2">Campaign</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>mean</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>max</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>min</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">period</oasis:entry>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">2000</oasis:entry>  
         <oasis:entry colname="col2">24–27 Jul</oasis:entry>  
         <oasis:entry colname="col3">21</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.80</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.47</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.97</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2001</oasis:entry>  
         <oasis:entry colname="col2">14–31 Jul</oasis:entry>  
         <oasis:entry colname="col3">109</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.25</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.82</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.55</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2002</oasis:entry>  
         <oasis:entry colname="col2">14–15 Jul</oasis:entry>  
         <oasis:entry colname="col3">21</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.01</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.75</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.39</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2003</oasis:entry>  
         <oasis:entry colname="col2">18–26 Jul</oasis:entry>  
         <oasis:entry colname="col3">27</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.43</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.03</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.88</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2005</oasis:entry>  
         <oasis:entry colname="col2">19–24 Jul</oasis:entry>  
         <oasis:entry colname="col3">2</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.42</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.32</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.51</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>All water samples were collected manually in 20 mL vials. Ice samples were
collected in 250 mL polypropylene bottles or plastic bags before being
slowly melted and decanted to 20 mL vials. The vials were stored in cold
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and dark conditions to avoid fractionation
related to biological activity.</p>
      <p>The relative deviations (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of water isotope compositions
(<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O/<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O) were expressed in per mil (‰)
relative to Vienna Standard Mean Ocean Water (0 ‰; Coplen, 1996). The stable oxygen isotope analyses were performed at the
Niels Bohr Institute, University of Copenhagen, Denmark, using mass
spectrometry with an instrumental precision of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 ‰ in the oxygen isotope ratio (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O) value.</p>
      <p>The oxygen isotope data from this study are available in the Supplement
(Tables S1–S6).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Multi-sample tests</title>
      <p>In the Mittivakkat Gletscher river, we conducted three multi-sample tests at
14:00 local time on 9, 15 and 21 August 2004 to determine the combined
uncertainty related to sampling and analytical error. During the
multi-sample tests samples were collected simultaneously (within 3 min). The tests show standard deviations of 0.08
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 25), 0.06 (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5) and 0.04 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10), respectively, which are lower than the
instrumental precision (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 ‰).</p>
      <p>In the Kuannersuit Glacier river, multi-sample tests were conducted in 2001,
2002 and 2003, showing a standard deviation of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.16 (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5), <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.13 (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 17)
and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.44 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 22), respectively. The
multi-sample test in 2003 showed a standard deviation significantly larger
than the instrumental precision (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 ‰). This
deviation cannot be explained by the presence of a few high <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values. The most plausible explanation is that the glacier run-off
was not well mixed in 2003, possibly because different parts of the drainage
system merged close to the glacier portal.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O time series of meltwater draining Mittivakkat
Gletscher in <bold>(a)</bold> 2005 and <bold>(b)</bold> 2008.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Run-off measurements</title>
      <p>Stage–discharge relationships were used to determine run-off at each study
site. The accuracy of individual run-off measurements is within <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>7 % (e.g. Herschy, 1999). For details on run-off measurements we refer to
Hasholt and Mernild (2006) for the Mittivakkat Gletscher river and Yde et al. (2005a) for the Kuannersuit Glacier river. In short, at the Mittivakkat Gletscher
river the run-off measurements were conducted at a hydrometric monitoring
station located after the braided river system had changed into a single
river channel about 500 m from the river outlet. The station was installed
in August 2004 and recorded water stage every 10 min during the peak
flow period. At the Kuannersuit Glacier river the run-off measurements were
obtained at a hydrometric monitoring station installed in July 2001 at a
location where the river merges to a single channel. Water stage was
recorded every hour during the peak flow period. The station was destroyed
during the spring river break-up in 2002.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Time series of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, discharge, air temperature and
electric conductivity in meltwater draining Mittivakkat Gletscher during the period 8–21
August 2004.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f03.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{$\delta^{{18}}$O characteristics}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O characteristics</title>
      <p>At the Mittivakkat Gletscher river, the early melt season is characterised by an
increasing trend in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. In 2005 the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values
in the early melt season were coincident with the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values
during the peak flow period (Fig. 2a; Table 1). This indicates that the
onset of ice melt commenced before the early melt season sampling campaign.
In contrast, the 2008 onset of ice melt was delayed, and snowmelt totally
dominated the bulk composition of the river water except on 30 May 2008,
when a rainfall event (19 mm in the nearby town of Tasiilaq, located 10 km to
the southeast of the Mittivakkat Gletscher river catchment; Cappelen, 2013)
caused a positive peak in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰ (Fig. 2b). This difference between the early
ablation seasons in 2005 and 2008 is consistent with the meteorological
record from Tasiilaq, which shows that the region received a large amount of
precipitation in May 2008 (140 mm) compared to a dry May 2005 (17 mm;
Cappelen, 2013). Episodic effects on <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O by precipitation seem
common throughout the ablation season. For instance, another short-term
change occurred on 14–15 August 2005 (Fig. 2a), when a negative peak
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 ‰ coincided
with a snowfall event (14 mm in Tasiilaq; Cappelen, 2013) and subsequent
elevated contribution from snowmelt.</p>
      <p>During the peak flow periods, the mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.68 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 ‰ (Table 1). We use the 2004 time series to
assess oxygen isotope dynamics in the Mittivakkat Gletscher river during the
peak flow period when the subglacial drainage system is assumed to be
well established, transporting the majority of meltwater in a channelised
network (Mernild, 2006). In Fig. 3, the 2004 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O time series
is shown together with run-off (at the hydrometric station), air temperature
(at a nunatak at 515 m a.s.l.) and electrical conductivity (at the
hydrometric station; corrected to 25 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). There was no
precipitation during the entire sampling period, except for some drizzle on
8 August prior to the collection of the first sample. The time series shows
characteristic diurnal variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition, e.g. on
9–10 and 16–18 August 2004. However, the diurnal pattern was severely
disturbed at around 03:00 on 11 August 2004. The hydrograph shows that
during the falling limb the diurnal trend in run-off was interrupted,
coinciding with an air temperature increase and a change in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O from decreasing to slightly increasing values. The run-off stayed
almost constant until a rapid 39 % increase in run-off occurred at 13:00 on 12 August 2004, accompanied by an increase in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and
decrease in electrical conductivity. Thereafter, run-off remained at an
elevated level for more than 2 days before returning to a diurnal
oscillation of run-off. Hydrograph separation of water sources is a helpful
tool to elucidate the details of this event (see Sect. 4.3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Time series of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (red curve) and discharge (black
curve) in the Kuannersuit Glacier river during the period 14–31 July 2001.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f04.png"/>

        </fig>

      <p>In the Kuannersuit Glacier river, the sample-weighted mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.47 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.55 ‰ during the peak flow
period (a sample-weighted value is applied because the number of samples per
year deviated between 2 and 109). In Fig. 4, the variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O are presented together with run-off for the period 14–31 July
2001. The 2001 run-off measurements showed diurnal oscillations with minimums
around 10:00–12:00 and maximums at 19:00–20:00,
correlating well with reversed oscillations in solutes (Yde et al., 2005a) and
poorly with suspended sediment concentrations (Knudsen et al., 2007).
However, the variability of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O did not correlate with run-off
or any of these variables. While some of the episodic damming and meltwater
release events appear as peaks on the run-off time series, the peaks in the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O time series coincided with rainfall events (e.g. on the
nights of 21  and 29 July 2001). Besides these episodic peaks, a lack of
diurnal fluctuations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O characterised the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O time series.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Diurnal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O variations in the Kuannersuit Glacier river
on studied days in July in the post-surge years 2000–2003. Multi-sample
tests conducted in 2001, 2002 and 2003 showed standard deviations of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.16, <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.13 and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.44 ‰, respectively.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f05.png"/>

        </fig>

      <p>Figure 5 shows the diurnal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O variations during 4 days in July
without rainfall in the years 2000–2003. There were no diurnal
oscillations in 2000, 2001 and 2002. In 2003, the fluctuations were much
larger than in the preceding years, but the highest <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.03 ‰) was measured at 21:00, and low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O prevailed during the night (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.0 ‰).
This diurnal variability was also reflected in the
standard deviations of the measurements taken over the 24 h periods,
which increased from <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.07 in 2000 to <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.11, <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.23 and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.70 ‰ in 2001, 2002 and 2003, respectively. The
corresponding diurnal amplitudes for 2000–2003 were 0.28, 0.42, 0.64
and 2.85 ‰, respectively.
Although these measurements from a single day each year are insufficient to
represent the conditions for the entire peak flow period, they may indicate
post-surge changes in the structure of subglacial hydrological system which
are worth addressing in detail in future studies of the hydrological system
of surging glaciers.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{$\delta^{{18}}$O endmember components}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O endmember components</title>
      <p>On Mittivakkat Gletscher, three snow pits (0.1 m sampling increments) were
excavated at different altitudes in May 1999, showing a mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰ (hereafter
the uncertainty of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O is given by the standard deviation) in
winter snow (Dissing, 2000). The range of individual samples in each snow
pit varied between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.5 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5 ‰ (269 m a.s.l.; mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.24 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.35; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 36), <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8
and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.2 ‰ (502 m a.s.l.; mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.11 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.13; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 21), and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.9 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.6 ‰
(675 m a.s.l.; mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.18 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.70; <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 26; Dissing, 2000). Also, two ice-surface <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
records of 2.84 and 1.05 km in length (10 m sampling
increments) were obtained from the glacier terminus towards the equilibrium
line (Boye, 1999). The glacier ice <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranged between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.0 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.3 ‰ with a mean
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.1 ‰ (Boye, 1999), and the theoretical
altitudinal effect (Dansgaard, 1964) of higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O towards the
equilibrium line altitude (ELA) was not observed. The reasons for an absence
of a <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O lapse rate are most likely the limited size
and altitudinal range (160–880 m a.s.l.) of Mittivakkat Gletscher, but ice
dynamics, ice age and meteorological conditions such as frequent inversion
(Mernild and Liston, 2010) may also have an impact. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
of summer rain has not been determined in this region, but at the coastal
village of Ittoqqortoormiit, located <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 840 km to the north of
Mittivakkat Gletscher, observations show monthly mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in
rainwater of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.8, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.1 and
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.8 ‰ in June, July and August, respectively (data
available from the International Atomic Energy Agency database WISER). Based
on these observations it is evident that endmember snowmelt has a
relatively low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compared to endmember ice melt and that
these two water source components can be separated. Contributions from
rainwater will likely result in episodic increase in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
of bulk meltwater.</p>
      <p>In the Kuannersuit Glacier river system, the glaciological setting differed
from the Mittivakkat Gletscher river system. During the surge event of
Kuannersuit Glacier, the glacier front advanced from <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 500 down to 100 m a.s.l., while a significant part of the glacier surface
in the accumulation area was lowered by more than 100 m to altitudes below
the ELA (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1100–1300 m a.s.l.). A helicopter survey in July
2002 revealed that the post-surge accumulation area ratio was less than 20 % (Yde et al., 2005a). Hence, we assume that the primary post-surge water
source during the peak flow period is ice melt, particularly from ablation
of the new glacier tongue. The mean <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value of glacier ice
collected along the longitudinal and transverse transects was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 36). This is consistent
with <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of glacier ice located near the glacier front, showing mean
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 20) in a
section with debris layers formed by thrusting and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 37) in a section without debris layers (Larsen
et al., 2010). In contrast to the setting at the Mittivakkat Gletscher river, it
was likely that another ice melt component in bulk run-off from Kuannersuit
Glacier comprised water from several ice facies sub-component sources with
various <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values and spatial variability. During the surge
event, a thick debris-rich basal ice sequence was formed beneath the glacier
and exposed along the glacier margins and at the glacier terminus (Yde et
al., 2005b; Roberts et al., 2009; Larsen et al., 2010). The basal ice
consisted of various genetic ice facies, where different isotopic
fractionation processes during the basal ice formation resulted in
variations in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in
massive stratified ice was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10); in laminated stratified ice it was
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 9); and in dispersed ice it was <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 41; Larsen et al., 2010). Also, during the
termination of the surge event in winter 1998–1999, proglacial naled was
stacked into <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 m thick sections of thrust-block naled at the
glacier front, as the glacier advanced into the naled (Yde and Knudsen,
2005b; Yde et al., 2005b; Roberts et al., 2009). Naled is an extrusive ice
assemblage formed in front of the glacier by rapid freezing of winter run-off
and/or proglacial upwelling water mixed with snow. A profile in a
thrust-block naled section showed a <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 60; excluding an outlier polluted by rainwater;
Yde and Knudsen, 2005b). With regard to the endmember compositions of
snowmelt and rainwater at the Kuannersuit Glacier river, it was not possible to
access snow on the upper part of the glacier, so no <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values
on snowmelt were measured. Rainwater was collected during rainfall events in
July 2002, showing a wide range in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.78
and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.57 ‰ and a median <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.32 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.49 ‰ (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 7; Table S6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Hydrograph showing the separation of the discharge in the Mittivakkat
Gletscher river (black curve) into an ice melt component (red curve) and a
snowmelt component (blue curve) during the period 8–21 August 2004. The
error of the ice melt and snowmelt components depends on the constant
endmember estimates and the cubic spline interpolation. The arrow indicates
the onset of the abrupt change in discharge.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <title>Hydrograph separation</title>
      <p>The conditions for conducting hydrograph separation during the peak flow
period were different for the two study catchments. At the Mittivakkat Gletscher
river it was possible to distinguish between the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of
endmember ice melt and snowmelt components, and there were diurnal
oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. In contrast, the available data from the
Kuannersuit Glacier river did not allow hydrograph separation in the years
following the surge event. Here, there were no diurnal oscillations in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, and the composition and importance of the snowmelt
component were unknown. Hence, we will continue by using the 2004
time series to construct a two-component hydrograph separation (Eq. 1)
during a period without precipitation for the Mittivakkat Gletscher river.</p>
      <p>First, we apply time-series cubic spline interpolation to estimate <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O at 1 h time-step increments, matching the temporal resolution
of the run-off observations. This approach allows a better assessment of the
diurnal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal. For instance, a best-fit analysis shows
that overall the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal lags 3 h behind run-off
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.66; linear correlation without lag shows <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.58),
indicating the combined effect of the two primary components, snowmelt and
ice melt, on the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O variations. The diurnal amplitude in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranged between 0.11 (11 August 2004)
and 0.49 ‰ (16 August 2004). However, there was no
statistical relation between diurnal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O amplitude and daily
air temperature amplitude (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.28), indicating that other forcings
than variability in surface melting may have a more dominant effect on the
responding variability in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O.</p>
      <p>Based on the assumption that snowmelt and ice melt reflect their endmember
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.5 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.1 ‰, respectively), a hydrograph showing contributions
from snowmelt and ice melt is constructed for the 2004 sampling period
(Fig. 6). The ice melt component constituted 82 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 % (where
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> indicates the standard deviation of the hourly estimates) of the
total run-off and dominated the observed variations in total run-off
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.99). This is expected late in the peak flow period, when the
subglacial drainage mainly occurs in a channelised network in the lower part
of the glacier (Mernild, 2006). The slightly decreasing trend in the daily
snowmelt component was likely a consequence of the diminishing snow cover on
the upper part of the glacier. The snowmelt component peaked around
10:00–13:00 each day, reflecting the long distance from the melting
snowpack to the proglacial sampling site and the possible existence of an
inefficient distributed subglacial drainage network in the upper part of the
glacier.</p>
      <p>The most likely reason for an abrupt change in glacial run-off, such as the
one observed during the early morning of 11 August 2004 followed by the
sudden release of water 34 h later, is a roof collapse causing ice-block
damming of a major subglacial channel. The hydrograph separation (Fig. 6)
shows that the proportion between ice melt and snowmelt remained almost
constant after the event commenced, indicating that the bulk water derived
from a well-mixed part of the drainage system, which was unaffected by the
large diurnal variation in ice melt generation. This suggests that the
functioning drainage network transported meltwater from the upper part of
the glacier with limited connection to the drainage network in the lower
part. Meanwhile, ice melt was stored in a dammed section of the subglacial
network located in the lower part of the glacier and suddenly released when
the dam broke at 13:00 on 12 August (Fig. 6). In the following hours
ice melt comprised up to 94 % of the total run-off. On 13 August the
snowmelt component peaked at noon but then dropped markedly, and in the
evening it only constituted 4 % of the total run-off. On 14 August there
were still some minor disturbances in the lower drainage network, but from
15 August the drainage system had stabilised and the characteristic diurnal
glacionival oscillations had taken over (Figs. 3 and 6).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <?xmltex \opttitle{Uncertainties in $\delta^{{18}}$O hydrograph separation models}?><title>Uncertainties in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O hydrograph separation models</title>
      <p>The accuracy of endmember hydrograph separation models is limited by the
uncertainties of the estimated values of each endmember component, the
uncertainty of the cubic spline interpolation at each data point and the
uncertainty of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in the river. While the uncertainty of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in the river is likely to be relatively small, the
uncertainties of each endmember component must be kept in mind (e.g. Cable
et al., 2011; Arendt et al., 2015). The assumption of discrete values of
each endmember component is unlikely to reflect the spatial and temporal
changes in bulk <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of snowmelt, ice melt and rainwater. For
instance, Raben and Theakstone (1998) found a seasonal increase in mean
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in snow pits on Austre Okstindbreen, Norway, and episodic
events such as passages of storms (e.g. McDonnell et al., 1990; Theakstone,
2008) or melting of fresh snow in the late ablation season may cause
temporal changes in one component. Also, snowpacks have a non-uniform
layered structure with heterogeneous <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition, and
isotopic fractionation is likely to occur as melting progresses and the
snowpack is mixed with rainwater (e.g. Raben and Theakstone, 1998; Lee et
al., 2010). It is also difficult to assess how representative snow pits and
ice transects are for the bulk <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value of each component.
Spatial differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O may exist within and between snow
pits, but the overall effect on the isotopic composition of the water leaving
the melting snowpack at a given time is unknown.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of glacier ice along a
longitudinal transect and a transverse transect on Kuannersuit Glacier. The
transverse transect crosses the longitudinal transect at a distance of 3250 m from the glacier terminus.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://hess.copernicus.org/articles/20/1197/2016/hess-20-1197-2016-f07.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Maximum and minimum <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in glacier rivers.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Site</oasis:entry>  
         <oasis:entry colname="col2">Sampling period</oasis:entry>  
         <oasis:entry colname="col3">Latitude</oasis:entry>  
         <oasis:entry colname="col4">Longitude</oasis:entry>  
         <oasis:entry colname="col5">Maximum (‰)</oasis:entry>  
         <oasis:entry colname="col6">Minimum (‰)</oasis:entry>  
         <oasis:entry colname="col7">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Greenland</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mittivakkat Gletscher (local glacier)</oasis:entry>  
         <oasis:entry colname="col2">2003–2009</oasis:entry>  
         <oasis:entry colname="col3">65<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">37<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.7</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.4</oasis:entry>  
         <oasis:entry colname="col7">This paper</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kuannersuit Glacier (ice cap outlet)</oasis:entry>  
         <oasis:entry colname="col2">2000–2005</oasis:entry>  
         <oasis:entry colname="col3">69<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">53<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.9</oasis:entry>  
         <oasis:entry colname="col7">This paper</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hobbs Gletscher (local glacier)</oasis:entry>  
         <oasis:entry colname="col2">2004</oasis:entry>  
         <oasis:entry colname="col3">65<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">38<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>11<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.7</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.1</oasis:entry>  
         <oasis:entry colname="col7">Yde (unpublished data)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Imersuaq (GrIS outlet)</oasis:entry>  
         <oasis:entry colname="col2">2000</oasis:entry>  
         <oasis:entry colname="col3">66<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>07<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">49<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>54<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.3</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.9</oasis:entry>  
         <oasis:entry colname="col7">Yde and Knudsen (2004)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Killersuaq (ice cap outlet)</oasis:entry>  
         <oasis:entry colname="col2">1982–1983</oasis:entry>  
         <oasis:entry colname="col3">66<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>07<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.0</oasis:entry>  
         <oasis:entry colname="col7">Andreasen (1984)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Leverett Glacier (GrIS outlet)</oasis:entry>  
         <oasis:entry colname="col2">2009</oasis:entry>  
         <oasis:entry colname="col3">67<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>04<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.2</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.2</oasis:entry>  
         <oasis:entry colname="col7">Hindshaw et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Isunnguata Sermia (GrIS outlet)</oasis:entry>  
         <oasis:entry colname="col2">2008</oasis:entry>  
         <oasis:entry colname="col3">67<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>11<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>20<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Yde (unpublished data)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">“N” Glacier (GrIS outlet)</oasis:entry>  
         <oasis:entry colname="col2">2008</oasis:entry>  
         <oasis:entry colname="col3">68<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>03<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>16<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.3</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.3</oasis:entry>  
         <oasis:entry colname="col7">Bhatia et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Scandinavia and Svalbard</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Austre Okstindbreen, Norway</oasis:entry>  
         <oasis:entry colname="col2">1980–1995</oasis:entry>  
         <oasis:entry colname="col3">66<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>00<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">14<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.4</oasis:entry>  
         <oasis:entry colname="col7">Theakstone (2003)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Storglaciären, Sweden</oasis:entry>  
         <oasis:entry colname="col2">2004 &amp; 2011</oasis:entry>  
         <oasis:entry colname="col3">67<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>54<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">18<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.9</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.9</oasis:entry>  
         <oasis:entry colname="col7">Dahlke et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Austre Grønfjordbreen, Svalbard</oasis:entry>  
         <oasis:entry colname="col2">2009</oasis:entry>  
         <oasis:entry colname="col3">77<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>56<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">14<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>19<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Yde et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dryadbreen, Svalbard</oasis:entry>  
         <oasis:entry colname="col2">2012</oasis:entry>  
         <oasis:entry colname="col3">78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>09<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>27<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.0</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.5</oasis:entry>  
         <oasis:entry colname="col7">Hindshaw et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Longyearbreen, Svalbard</oasis:entry>  
         <oasis:entry colname="col2">2004</oasis:entry>  
         <oasis:entry colname="col3">78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>11<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>30<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.3</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.7</oasis:entry>  
         <oasis:entry colname="col7">Yde et al. (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">European Alps</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Glacier de Tsanfleuron, Switzerland</oasis:entry>  
         <oasis:entry colname="col2">1994</oasis:entry>  
         <oasis:entry colname="col3">46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>20<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">07<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.2</oasis:entry>  
         <oasis:entry colname="col7">Fairchild  et al. (1999)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dammagletscher, Switzerland</oasis:entry>  
         <oasis:entry colname="col2">2008</oasis:entry>  
         <oasis:entry colname="col3">46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">08<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>27<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.3</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.3</oasis:entry>  
         <oasis:entry colname="col7">Hindshaw et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hintereisferner, Austria</oasis:entry>  
         <oasis:entry colname="col2">1969–1970</oasis:entry>  
         <oasis:entry colname="col3">46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>49<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.4</oasis:entry>  
         <oasis:entry colname="col7">Behrens et al. (1971)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Kesselwandferner, Austria</oasis:entry>  
         <oasis:entry colname="col2">1969–1970</oasis:entry>  
         <oasis:entry colname="col3">46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.8</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.1</oasis:entry>  
         <oasis:entry colname="col7">Behrens et al. (1971)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Andes</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cordillera Blanca catchments, Peru</oasis:entry>  
         <oasis:entry colname="col2">2004–2006</oasis:entry>  
         <oasis:entry colname="col3">9–10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col4">77–78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.3</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.3</oasis:entry>  
         <oasis:entry colname="col7">Mark and McKenzie (2007)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Juncal River, Chile</oasis:entry>  
         <oasis:entry colname="col2">2011–2012</oasis:entry>  
         <oasis:entry colname="col3">32<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>52<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>  
         <oasis:entry colname="col4">70<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.4</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.0</oasis:entry>  
         <oasis:entry colname="col7">Ohlanders et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Asia</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hailuogou Glacier river, China</oasis:entry>  
         <oasis:entry colname="col2">2008–2009</oasis:entry>  
         <oasis:entry colname="col3">29<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>34<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">101<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>59<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.7</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.6</oasis:entry>  
         <oasis:entry colname="col7">Meng et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kumalak Glacier no. 72, China</oasis:entry>  
         <oasis:entry colname="col2">2009</oasis:entry>  
         <oasis:entry colname="col3">41<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>49<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">79<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>51<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Kong and Pang (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Urumqi Glacier no. 1, China</oasis:entry>  
         <oasis:entry colname="col2">2009</oasis:entry>  
         <oasis:entry colname="col3">43<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>07<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>  
         <oasis:entry colname="col4">86<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>48<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.7<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">Kong and Pang (2012)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.90}[.90]?><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> Single sample.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

</sec>
<sec id="Ch1.S4.SS5">
  <?xmltex \opttitle{Longitudinal and transverse $\delta^{{18}}$O transects}?><title>Longitudinal and transverse <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O transects</title>
      <p>Glacier ice samples were collected on the surface of Kuannersuit Glacier to
gain insights into the spatial variability of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O on the newly
formed glacier tongue. Both the longitudinal and transverse transects showed
large spatial fluctuations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (Fig. 7). The longitudinal
transect was sampled along the centreline but showed unsystematic
fluctuations on a 500 m sampling increment scale. In contrast, the
transverse transect, which was sampled 3250 m up-glacier with 50 m
increments, showed a more systematic trend where relatively high <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values were observed along both lateral margins. From the centre
towards the western margin an increasing trend of 0.46 ‰
per 100 m prevailed, whereas the eastern central part showed large
fluctuations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.69 and
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.08 ‰. The total range of measured <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
in glacier ice along the transverse transect was 4.14 ‰. A possible explanation of this marked spatial variability may be that the
ice forming the new tongue derived from different pre-surge reservoirs on
the upper part of the glacier. If so, it is very likely that the marginal
glacier ice was formed at relatively low elevations (high <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
signal), whereas the glacier ice in the western central part mainly derived
from high-elevation areas of Sermersuaq ice cap (low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
signal). At present, there are only a few comparable studies on transverse
variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O across glacier tongues. Epstein and Sharp (1959) found a decrease in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O towards the margins of
Saskatchewan Glacier, Canada. Hambrey (1974) measured a similar decrease in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O towards the margins of Charles Rabots Bre, Norway, in an
upper transect, whereas a lower transect showed wide unsystematic variations
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. Hambrey (1974) concluded that in the upper transect
the marginal ice derived from higher altitudes than ice in the centre,
whereas in the lower transect the wide variations were related to structural
complexity of the glacier. However, both of these studies are based on few
samples. Hence, it therefore remains unknown whether a high spatial
variability in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O is a common phenomenon or related to
specific circumstances such as surge activity or presence of tributary
glaciers.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <?xmltex \opttitle{Differences in $\delta^{{18}}$O between the Mittivakkat Gletscher river and
Kuannersuit Glacier river}?><title>Differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O between the Mittivakkat Gletscher river and
Kuannersuit Glacier river</title>
      <p>A significant difference between the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O dynamics in the
Mittivakkat Gletscher river and Kuannersuit Glacier river is the marked
diurnal oscillations in the former and the lack of a diurnal signal in the
latter during the peak flow period. At the Mittivakkat Gletscher river, the 2004
hydrograph separation analysis showed a 3 h lag of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
to run-off caused by the difference in travel time for ice melt and snowmelt.
Meltwater in the early melt season was dominated by snowmelt with relatively
high <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and weak diurnal oscillations; whereas diurnal
oscillations with amplitudes between 0.11 and 0.49 ‰ existed during the peak flow period due to mixing of a
dominant ice melt component and a secondary snowmelt component. Diurnal
oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O are common in meltwater from small,
glacierised catchments; for instance, at Austre Okstindbreen, Norway, the
average diurnal amplitude is approximately 0.2 ‰
(Theakstone, 1988, 2003; Theakstone and Knudsen, 1989, 1996a, b).
The largest diurnal amplitudes in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (up to 4.3 ‰) have been observed in small-scale GrIS catchments,
such as at Imersuaq and “N Glacier”, where large differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O exist between various ice facies and snowmelt (Yde and Knudsen,
2004; Bhatia et al., 2011).</p>
      <p>The lack of strong diurnal oscillations as observed in the post-surge years
at the Kuannersuit Glacier river indicates a mono-source system, a
well-mixed drainage network or a multi-source system, where the primary
components have similar <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions. The expected primary
component, glacier ice melt, has lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O than bulk run-off,
and there must be additional contributions from basal ice melt (similar
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition to run-off), snowmelt (unknown <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition) or rainwater (higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition
than run-off). We therefore hypothesise that the presence of a well-mixed
drainage network is the most likely reason for the observed <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal in the bulk run-off from Kuannersuit Glacier. During the
surge event the glacier surface became heavily crevassed and the
pre-existing drainage system collapsed (Yde and Knudsen, 2005a). It is a
generally accepted theory that the drainage system of surging glaciers
transforms into a distributed network where meltwater is routed via a system
of linked cavities (Kamb et al., 1985; Kamb, 1987), but little is known
about how subglacial drainage systems evolve into discrete flow systems in
the years following a surge event. In the initial quiescent phase at
Kuannersuit Glacier, frequent loud noises interpreted as drainage system
roof collapses were observed, in addition to episodic export of ice blocks
from the portal, suggesting ongoing changes to the englacial and subglacial
drainage system. A consequence of these processes is also visible on the
glacier surface, where circular collapse chasms formed above marginal parts
of the subglacial drainage system (Yde and Knudsen, 2005a).</p>
      <p>Lack of diurnal oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O has previously been
related to other causes at non-surging glaciers. At Glacier de Tsanfleuron,
Switzerland, sampling in the late melt season (23–27 August 1994) showed no
diurnal variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, which was interpreted by Fairchild
et al. (1999) as a consequence of limited altitudinal range (less than 500 m) of the glacier. An alternative explanation may be that snowmelt only
constituted so small a proportion of the total run-off in the late melt
season that discrimination between snowmelt and ice melt was impossible. At
the glacier Killersuaq, an outlet glacier from the ice cap Amitsulooq in
west Greenland, Andreasen (1984) found that diurnal oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O were prominent during the relatively warm summer of 1982, whereas
no diurnal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O oscillations were observed in 1983 because the
glacier was entirely snow-covered throughout the ablation season, due to low
summer surface mass balance caused by the 1982 El Chichón eruption
(Ahlstrøm et al., 2007).</p>
</sec>
<sec id="Ch1.S5.SS2">
  <?xmltex \opttitle{$\delta^{{18}}$O compositions in glacier rivers}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions in glacier rivers</title>
      <p>It is clear from the studies at Mittivakkat Gletscher and Kuannersuit
Glacier that glacier rivers have different <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions.
The bulk meltwater from Mittivakkat Gletscher has a <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
composition similar to the water draining the nearby local glacier Hobbs
Gletscher and to waters from studied valley and outlet glaciers in
Scandinavia, Svalbard, the European Alps, the Andes and Asia (Table 3). The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition of Kuannersuit Glacier is lower and similar to the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition of the glacier Killersuaq (Table 3).
Currently, the lowest <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions are found in bulk
meltwater draining the GrIS in west Greenland (Table 3), but there is a lack
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O data from Antarctic rivers. Estimations of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O based on <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D measurements suggest <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values
of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.1, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.4 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41.9 ‰ in waters draining Wilson Piedmont Glacier, Rhone
Glacier and Taylor Glacier, respectively (Henry et al., 1977).</p>
      <p>The differences in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in glacial rivers are due to a
combination of geographical effects related to altitude, continentality and
latitude (Dansgaard et al., 1973) and temporal effects that work on various
timescales and in specific environments. These temporal effects include a
seasonal effect (Dansgaard, 1964), a monsoonal effect (Tian et al., 2001;
Kang et al., 2002), a precipitation amount effect (Holdsworth et al., 1991)
and a palaeoclimatic effect (Reeh et al., 2002). For instance, the altitude
and continentality effects cause low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in rivers draining
the GrIS compared to rivers draining valley glaciers at similar latitudes
(Table 3). More data on the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition and dynamics in
glacial rivers are needed to improve the understanding of how the relative
influence of geographical and temporal effects varies on local and regional
scales.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>In this study, we have examined the oxygen isotope hydrology in two of the
most studied glacierised river catchments in Greenland to improve our
understanding of the prevailing differences between contrasting glacial
environments. This study has provided insights into the variability and
composition of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in river water draining glaciers and ice
caps adjacent to the GrIS.</p>
      <p>The following results were found:
<list list-type="bullet"><list-item><p>The Mittivakkat Gletscher river on Ammassalik Island, southeast Greenland,
has a mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.68 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18 ‰ during the peak flow period, which is similar to the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition in glacier rivers in Scandinavia, Svalbard,
the European Alps, the Andes and Asia. The Kuannersuit Glacier river on the island
Qeqertarsuaq, west Greenland, has a lower mean annual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.47 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.55 ‰,
which is similar to the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition in bulk meltwater draining an outlet glacier from the
ice cap Amitsulooq but higher than the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition in bulk
meltwater draining the GrIS.</p></list-item><list-item><p>In the Mittivakkat Gletscher river the diurnal oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
were conspicuous. This was due to the presence of an efficient subglacial
drainage system and diurnal variations in the ablation rates of snow and ice
that had distinguishable oxygen isotope compositions. The diurnal
oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O lagged behind the diurnal oscillations in run-off
by approximately 3 h. A hydrograph separation analysis revealed that
the ice melt component constituted 82 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 % of the total run-off and
dominated the observed variations in total run-off during the peak flow
period in 2004. The snowmelt component peaked between 10:00 and 13:00,
reflecting the long travel time and a possibly inefficiently distributed
subglacial drainage network in the upper part of the glacier.</p></list-item><list-item><p>In contrast to the Mittivakkat Gletscher river, the Kuannersuit Glacier river showed
no diurnal oscillations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. This is likely a consequence
of glacier surging. In the years following a major surge event, where
Kuannersuit Glacier advanced 10.5 km, meltwater was routed through a
tortuous subglacial conduit network of linked cavities, mixing the
contributions from glacier ice, basal ice, snow and rainwater.</p></list-item><list-item><p>This study has shown that environmental and physical contrasts in glacier
river catchments influence the spatio-temporal variability of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O compositions. In Greenlandic glacier rivers, the variability in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O composition is much higher than previously known ranging
from relatively high <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values in small-scale coastal
glacierised catchments to relatively low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values in GrIS
catchments. This study demonstrates that water isotope analyses can be used
to obtain important information on water sources and subglacial drainage
system structure that is highly desired for understanding glacier
hydrology.</p></list-item></list></p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/hess-20-1197-2016-supplement" xlink:title="pdf">doi:10.5194/hess-20-1197-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>We thank all the students who have participated in the fieldwork over the
years. We are also grateful to the University of Copenhagen for allowing us
to use the facilities at the Arctic Station and Sermilik Station and to the
Niels Bohr Institute, University of Copenhagen, for processing the isotope
samples. We thank Andreas Peter Bech Mikkelsen and four reviewers for
valuable comments on the manuscript.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: M. Hrachowitz</p></ack><ref-list>
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    <!--<article-title-html>Stable oxygen isotope variability in two contrasting glacier river
catchments in Greenland</article-title-html>
<abstract-html><p class="p">Analysis of stable oxygen isotope (<i>δ</i><sup>18</sup>O)
characteristics is a useful tool to investigate water provenance in glacier
river systems. In order to attain knowledge on the diversity of <i>δ</i><sup>18</sup>O variations in Greenlandic rivers, we examined two contrasting
glacierised catchments disconnected from the Greenland Ice Sheet (GrIS). At the
Mittivakkat Gletscher river, a small river draining a local temperate
glacier in southeast Greenland, diurnal oscillations in <i>δ</i><sup>18</sup>O
occurred with a 3 h time lag to the diurnal oscillations in run-off.
The mean annual <i>δ</i><sup>18</sup>O was −14.68 ± 0.18 ‰ during the peak flow period. A hydrograph separation
analysis revealed that the ice melt component constituted 82 ± 5 %
of the total run-off and dominated the observed variations during peak flow
in August 2004. The snowmelt component peaked between 10:00 and 13:00 local time,
reflecting the long travel time and an inefficient distributed subglacial
drainage network in the upper part of the glacier. At the Kuannersuit Glacier
river on the island Qeqertarsuaq in west Greenland, the <i>δ</i><sup>18</sup>O
characteristics were examined after the major 1995–1998 glacier surge event.
The mean annual <i>δ</i><sup>18</sup>O was −19.47 ± 0.55 ‰. Despite large spatial variations in the <i>δ</i><sup>18</sup>O
values of glacier ice on the newly formed glacier tongue, there
were no diurnal oscillations in the bulk meltwater emanating from the
glacier in the post-surge years. This is likely a consequence of a tortuous
subglacial drainage system consisting of linked cavities, which formed
during the surge event. Overall, a comparison of the <i>δ</i><sup>18</sup>O
compositions from glacial river water in Greenland shows distinct
differences between water draining local glaciers and ice caps (between
−23.0 and −13.7 ‰) and the GrIS
(between −29.9 and −23.2 ‰). This
study demonstrates that water isotope analyses can be used to obtain
important information on water sources and the subglacial drainage system
structure that is highly desired for understanding glacier hydrology.</p></abstract-html>
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