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  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/tc-19-3655-2025</article-id><title-group><article-title>Ongoing firn warming at Eclipse Icefield, Yukon, indicates potential widespread meltwater percolation and retention in firn pack across the St. Elias Range</article-title><alt-title>Eclipse firn warming indicates melt retention</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Kindstedt</surname><given-names>Ingalise</given-names></name>
          <email>ingalise.kindstedt@maine.edu</email>
        <ext-link>https://orcid.org/0000-0002-6347-5383</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Winski</surname><given-names>Dominic</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9868-7909</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Stevens</surname><given-names>C. Max</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2005-0876</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Skelton</surname><given-names>Emma</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Copland</surname><given-names>Luke</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Kreutz</surname><given-names>Karl</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1881-2341</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Mannello</surname><given-names>Mikaila</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1859-5132</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Clavette</surname><given-names>Renée</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Holmes</surname><given-names>Jacob</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Albert</surname><given-names>Mary</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Williamson</surname><given-names>Scott N.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Climate Change Institute, University of Maine, Orono, Maine, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Earth and Climate Sciences, University of Maine, Orono, Maine, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth and Space Sciences, University of Washington, Seattle, Washington, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Cold Regions Research and Engineering Laboratory, Hanover, NH, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Geography, Environment and Geomatics, University of Ottawa, Ottawa, Ontario, Canada</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Thayer School of Engineering, Dartmouth College, Hanover, New Hampshire, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Polar Knowledge Canada, Canadian High Arctic Research Station, Cambridge Bay, Nunavut, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ingalise Kindstedt (ingalise.kindstedt@maine.edu)</corresp></author-notes><pub-date><day>10</day><month>September</month><year>2025</year></pub-date>
      
      <volume>19</volume>
      <issue>9</issue>
      <fpage>3655</fpage><lpage>3680</lpage>
      <history>
        <date date-type="received"><day>3</day><month>December</month><year>2024</year></date>
           <date date-type="rev-request"><day>20</day><month>January</month><year>2025</year></date>
           <date date-type="rev-recd"><day>22</day><month>May</month><year>2025</year></date>
           <date date-type="accepted"><day>28</day><month>May</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Ingalise Kindstedt et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025.html">This article is available from https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e215">Warming in high alpine regions is leading to an increase in glacier surface melt production, firn temperature, and firn liquid water content, altering regional hydrology and climate records contained in the ice. Here we use field observations and firn modeling to show that although the snowpack at Eclipse Icefield at 3000 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> in the St. Elias Range, Yukon, Canada, remains largely dry, meltwater percolation is likely to increase with an increase in intense melt events associated with continued atmospheric warming. In particular, the development of year-round deep temperate firn at Eclipse Icefield is promoted by an increase in the number of individual melt events and in average melt event magnitude combined with warmer wintertime temperatures, rather than an earlier or prolonged melt season. Borehole temperatures indicate that from 2016 to 2023 there was a 1.67 °C warming of the firn at 14 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (to <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.37</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> °C in 2023). Results from the Community Firn Model show that warming of the firn below 10 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth may continue over the next decade, with a 2 % chance of becoming temperate year-round at 15 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033, even without continued atmospheric warming. Model results also show that the chance of Eclipse Icefield developing year-round temperate firn at 15 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033 increases from 2 % with 0.1 °C atmospheric warming over the period 2023–2033 to 12 % with 0.2 °C warming, 51 % with 0.5 °C warming, and 98 % with 1 °C warming. As the majority of the St. Elias Range's glacierized terrain lies below Eclipse Icefield, the development of temperate firn at this elevation would likely indicate widespread meltwater percolation in this region and a wholesale change in its hydrological system, reducing its capacity to buffer runoff and severely limiting potential ice core sites. It is therefore urgent  that a deep ice core be retrieved while the record is still intact.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e300">Firn is defined as snow that has survived one melt season and is found in the accumulation region of glaciers, ice caps, and ice sheets around the world <xref ref-type="bibr" rid="bib1.bibx45" id="paren.1"/>. There is increasing evidence that firn columns are warming and melting <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx24 bib1.bibx49 bib1.bibx50 bib1.bibx4" id="paren.2"/>, which can alter the snow and firn structure, temperature, and chemistry, compromising the climate record in the developing ice column <xref ref-type="bibr" rid="bib1.bibx51" id="paren.3"/>. Liquid water in the snow and firn can also preclude ice core drilling efforts. In addition, firn water retention can dramatically delay the release of glacier melt to downstream hydrological systems and act as a buffer to glacier runoff <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx37 bib1.bibx33 bib1.bibx21" id="paren.4"/>. When deep percolation and localized freezing occur, firn storage of surface melt can cause a lag in runoff of years to decades <xref ref-type="bibr" rid="bib1.bibx21" id="paren.5"/>. Alternatively, the development of near-surface low-permeability ice layers can lead to increased runoff in the longer term <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx38" id="paren.6"/>. Surface melt can be retained in the firn pack, either refrozen in ice layers or in liquid form as irreducible water, slush fields, or a firn aquifer <xref ref-type="bibr" rid="bib1.bibx9" id="paren.7"/>. Firn aquifers can store large amounts of liquid water and can retain water for several years, both delaying runoff and warming the firn <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx46 bib1.bibx27 bib1.bibx52 bib1.bibx18" id="paren.8"/>. For example, firn aquifers across Greenland have been estimated to store <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mn mathvariant="normal">140</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> Gt of liquid water, buffering <inline-formula><mml:math id="M9" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.4 mm of sea level rise <xref ref-type="bibr" rid="bib1.bibx33" id="paren.9"/>.</p>
      <p id="d2e350">Glacierized high alpine regions contain unique regional climate records and act as water towers for downstream human and ecological communities <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx26 bib1.bibx61 bib1.bibx17" id="paren.10"/>. Despite the importance of warming high alpine firn columns, comparatively little work has been done on the thermal evolution and meltwater retention of firn in these regions (e.g., <xref ref-type="bibr" rid="bib1.bibx49" id="altparen.11"/>; <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.12"/>; <xref ref-type="bibr" rid="bib1.bibx18" id="altparen.13"/>) compared to Greenland (e.g., <xref ref-type="bibr" rid="bib1.bibx2" id="altparen.14"/>; <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.15"/>; <xref ref-type="bibr" rid="bib1.bibx14" id="altparen.16"/>; <xref ref-type="bibr" rid="bib1.bibx37" id="altparen.17"/>; <xref ref-type="bibr" rid="bib1.bibx38" id="altparen.18"/>; <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.19"/>; <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.20"/>). Amplified warming at high elevations <xref ref-type="bibr" rid="bib1.bibx59" id="paren.21"/>, combined with high annual snow accumulation <xref ref-type="bibr" rid="bib1.bibx39" id="paren.22"/> that can insulate underlying firn, makes the heavily glacierized St. Elias Range a region of potentially widespread meltwater retention and active firn aquifer development.</p>
      <p id="d2e394">The St. Elias Range (henceforth referred to as “St. Elias”) is a mountain range located in the southwest Yukon, Canada, on the border between the Yukon and Alaska (Fig. <xref ref-type="fig" rid="F1"/>). Prior work on the upper Kaskawulsh Glacier, a prominent glacier on the east side of the range, revealed a firn aquifer that may have developed within the last decade, though its age cannot be well constrained <xref ref-type="bibr" rid="bib1.bibx49" id="paren.23"/>. In contrast, observations from 2002 and 2016  at Eclipse Icefield (“Eclipse”), <inline-formula><mml:math id="M10" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 350 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> higher in elevation than the Kaskawulsh aquifer, have shown a relatively dry snow and firn pack <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx41 bib1.bibx62" id="paren.24"/>. Firn observations that span 20 years, nearby weather station data, and observed firn aquifer development at lower-elevation sites in the region make Eclipse a compelling case study for firn evolution and aquifer development in St. Elias and in glacierized alpine areas more generally. Here we combine field observations and firn modeling at Eclipse to determine the conditions required to develop a temperate firn column in a formerly polythermal high alpine regime. Specifically, we address the following questions: (1) is there evidence for current and increasing melt production and percolation at Eclipse? (2) How much warming is required to develop year-round temperate firn at Eclipse? (3) Does the distribution of warming throughout the year and/or among intense heat events matter?</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e423">Study area in the St. Elias Range with firn cores and ground-penetrating radar collected in the 2023 field campaign. The Gulf of Alaska region is shown in panel <bold>(a)</bold> with Alaska (AK), Yukon Territory (YT), and British Columbia (BC) labeled in gold. Relevant sites in the St. Elias Range are shown in panel <bold>(b)</bold>, the extent of which is indicated by the red box in panel <bold>(a)</bold>. Panel <bold>(c)</bold> shows a close-up view of Eclipse Icefield, bounded by the red box marked “Eclipse” in panel <bold>(b)</bold>. Elevation contours in panel <bold>(c)</bold> are given in meters. Base imagery in panels <bold>(b)</bold> and <bold>(c)</bold> is from ESRI.</p></caption>
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Firn core recovery</title>
      <p id="d2e472">We recovered three firn cores from Eclipse Icefield between 2  and 4 June 2023 (Fig. <xref ref-type="fig" rid="F1"/>c). Cores B501 and B502 were drilled from the surface to depths of 16.2 and 10.9 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, at 60.844° N, 139.851° W, 0.6 m apart from each other, to assess the small-scale spatial variability of near-surface melt features. Core B201 was drilled from the surface to 14.7 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth at 60.835° N, 139.830° W (at a similar elevation <inline-formula><mml:math id="M14" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> to the southeast). Cores B501 and B502 were drilled in one night over the course of 5 h; core B201 was drilled the following night. A summary of core recovery information is given in Table <xref ref-type="table" rid="T1"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e514">Firn core recovery information.</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="center"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Core</oasis:entry>
         <oasis:entry colname="col2">Location</oasis:entry>
         <oasis:entry colname="col3">Surface</oasis:entry>
         <oasis:entry colname="col4">Recovery date</oasis:entry>
         <oasis:entry colname="col5">Recovery</oasis:entry>
         <oasis:entry colname="col6">Bottom depth below</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">elevation</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">start time</oasis:entry>
         <oasis:entry colname="col6">the snow surface at</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m a.s.l.)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(local time)</oasis:entry>
         <oasis:entry colname="col6">the time of coring (m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Ecl23_B501</oasis:entry>
         <oasis:entry colname="col2">60.844° N, 139.851° W</oasis:entry>
         <oasis:entry colname="col3">3053</oasis:entry>
         <oasis:entry colname="col4">2 June 2023</oasis:entry>
         <oasis:entry colname="col5">21:00 (night 1)</oasis:entry>
         <oasis:entry colname="col6">15.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ecl23_B502</oasis:entry>
         <oasis:entry colname="col2">60.844° N, 139.851° W</oasis:entry>
         <oasis:entry colname="col3">3053</oasis:entry>
         <oasis:entry colname="col4">3 June 2023</oasis:entry>
         <oasis:entry colname="col5">00:30 (night 1)</oasis:entry>
         <oasis:entry colname="col6">10.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ecl23_B201</oasis:entry>
         <oasis:entry colname="col2">60.835° N, 139.830° W</oasis:entry>
         <oasis:entry colname="col3">3058</oasis:entry>
         <oasis:entry colname="col4">3–4 June 2023</oasis:entry>
         <oasis:entry colname="col5">22:00 (night 2)</oasis:entry>
         <oasis:entry colname="col6">14.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Stratigraphy</title>
      <p id="d2e674">We recorded the stratigraphic character of each layer within each core (e.g., opacity, texture, ice layers) in the field and logged accompanying back-lit photos. We describe layers as either “fine-grained” or “coarse-grained”. We use the term “fine-grained” to refer to sections of firn composed of <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> mm grains that separate readily when force is applied to the core. In this context, fine-grained firn is firn that shows no visible evidence of melt alteration. We use the term “coarse-grained” to refer to sections of firn composed of 1–2 mm well-sintered ice grains (Fig. <xref ref-type="fig" rid="FA1"/>b). Unlike the large, faceted grains in surface and depth hoar, which reduce layer strength, the rounded, well-sintered grains in our coarse-grained firn result in a strong icy layer requiring a saw to cut through. Despite their sintering, the grains remain readily distinguishable from one another, differentiating these layers from glacier ice. We use the terms “ice lens” and “ice layer” to refer to regions of solid ice that extend partially and fully across our core diameter, respectively. Uncertainty in our stratigraphy comes from the accuracy of the ruler used to measure core depths, as well as the subjective delineation of stratigraphic boundaries within the core. The ruler used was marked to the millimeter, so we report individual layer thicknesses to 0.001 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. However, we report layer depths and thicknesses of stratigraphic sections spanning more than one core segment to 0.01 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to account for the compounded uncertainty over accumulating core segments. We report all layer depths relative to the last summer surface (LSS) because of high uncertainty in our measurements of seasonal snow depth resulting from the visual similarity of seasonal snow and core chips (a drilling artifact) pulled out of the drill barrel. For visual representation purposes, we show the LSS in all three cores to be located at <inline-formula><mml:math id="M19" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.25 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth despite differences in measured depth. Because we are focusing on the firn below the LSS, standardizing the core depths to the LSS provides a more useful visual than standardizing them to the snow surface.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Density</title>
      <p id="d2e730">We recorded density in the field for core B501 starting at 1.92 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. We did not record density for the unconsolidated snow above this because the volume uncertainty of core segments was too high. Core sections were sawed into roughly 10 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> segments or delineated at existing breaks. We then measured each segment’s length, diameter, and mass and assessed its cylindrical completeness. Following the methods of <xref ref-type="bibr" rid="bib1.bibx49" id="text.25"/>, we assigned each core segment a cylindrical completeness value (<inline-formula><mml:math id="M23" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>) of 0–1, with 1 denoting an intact core and fractional values denoting the portion of core segment present. For example, a core segment determined via visual inspection to have 5 % of its volume missing due to chipping or crumbling would be assigned an <inline-formula><mml:math id="M24" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> value of 0.95. Density (<inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>) was calculated for each core segment using

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M26" display="block"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>V</mml:mi><mml:mo>,</mml:mo><mml:mtext mathvariant="normal">with</mml:mtext><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mi mathvariant="italic">π</mml:mi><mml:mi>L</mml:mi><mml:mo>(</mml:mo><mml:mi>D</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M27" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is mass, <inline-formula><mml:math id="M28" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> is volume, <inline-formula><mml:math id="M29" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is core segment length, and <inline-formula><mml:math id="M30" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is the average diameter. We removed outliers for all depths below the last summer surface if their density was <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">917</mml:mn></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> within uncertainty. We report density for the top depth of each segment. For example, the density value reported for a depth of 3.40 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> would be measured over the segment from 3.40 to 3.50 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth below the snow surface at the time of coring.</p>
      <p id="d2e910">Uncertainty in our density measurements comes from a variety of sources and can be calculated based on the uncertainties in mass and volume with the following.

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M37" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:msqrt><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>m</mml:mi></mml:mrow><mml:mi>m</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi></mml:mrow><mml:mi>V</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e956">Mass uncertainty arises from the accuracy of the scale. The scale used has a nominal accuracy of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>, but we assign a mass uncertainty of 0.3 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> to account for residual snow or water on its surface. Volume uncertainty comprises uncertainty in the measured segment length and radius (used to calculate cross-sectional area <inline-formula><mml:math id="M41" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>) and in the subjective assignment of cylindrical completeness (<inline-formula><mml:math id="M42" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>).

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M43" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>f</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>L</mml:mi></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1058">Our ruler was marked every millimeter, but following Ochwat et al. (2021), we assign <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to account for rough-cut core segments with crumbly edges. We then calculate the uncertainty in area using

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M45" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">π</mml:mi><mml:mi>D</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1113">We also follow Ochwat et al. (2021) in assigning an uncertainty of <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> because a less complete core is more difficult to visually assess. We calculate the uncertainty for mean density values from the root mean square of all point values being averaged.

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M50" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mover accent="true"><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced open="[" close="]"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>N</mml:mi></mml:munder><mml:mi mathvariant="normal">d</mml:mi><mml:msubsup><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1221">We report the top depth of all density measurements relative to the snow surface assuming an LSS depth of 4.24 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the surface. Consequently, absolute depths reported have an uncertainty of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>; however, density calculations depend on segment thickness rather than absolute depth and therefore use the assigned measurement uncertainty of 0.25 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>. Although densities can be reported to the top or middle depth of core segments, we report them here to the top of segments for consistency with our stratigraphy, which we report to segment tops to focus on the transition between melt-altered and unaltered sections of firn; this is more physically interesting than the midpoint depths of sections.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Borehole temperatures</title>
      <p id="d2e1266">We obtained temperature measurements from the boreholes of cores B501 and B201 using an RBRsolo<sup>3</sup> T compact single-channel temperature logger. We allowed the borehole to equilibrate for approximately 12 h after drilling before installing or metering any temperature sensors. We obtained one temperature measurement near the bottom of B201 (14.1 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the snow surface) after the sensor was allowed to equilibrate in the borehole for 1.5 h and one temperature measurement near the bottom of B501 (15.5 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the snow surface) after the sensor was allowed to equilibrate in the borehole for 1.5 h. In addition to these deep equilibrated measurements, we acquired a full-length temperature profile for each core. Due to time constraints in the field, this was based on 30 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of measurement time at each depth, after 30 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of equilibration time. After recording the surface air temperature, we lowered the logger into the borehole using a survey wheel while continuously sampling at a rate of 2 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. At 20 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> intervals, we paused lowering and recorded a timestamp to identify the temperature at that depth.  RBRsolo<sup>3</sup> T temperature measurements have an initial accuracy of <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn></mml:mrow></mml:math></inline-formula> °C, which we apply to our basal borehole temperatures when the sensor was allowed to equilibrate in the borehole for 1.5 h. We assign an uncertainty of 0.01 °C to our temperature profiles at 20 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> increments when a 30 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> equilibrium time was used. We ignore the effects of advective heat transport for three reasons: we were most concerned with temperatures below 10 m depth, boreholes were only <inline-formula><mml:math id="M66" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> across, and surface conditions were very similar on both days when temperature measurements were collected (sunny, light breeze).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Ground-penetrating radar</title>
      <p id="d2e1387">We collected ground-penetrating radar (GPR) data at frequencies of 900 and 5 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula> using two different systems to image the near subsurface (<inline-formula><mml:math id="M69" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth) and full ice thickness (up to 700 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth), respectively. We collected very high-frequency (VHF) data on 2 June 2023 with a GSSI system using a shielded 900 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula> center frequency antenna (model 3101) and an SIR4000 control unit paired with a Garmin GPSMap78 (horizontal and vertical accuracy of <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). We collected data at 2048 samples per scan and 24 scans per second with a range of 240 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ns</mml:mi></mml:mrow></mml:math></inline-formula>. We collected high-frequency (HF) data on 4 June 2023 with a Blue Systems Integrated (BSI) 5 MHz antenna, with 30 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> separation between the transmitter and receiver. We ski-towed both GPR systems at a rate of <inline-formula><mml:math id="M77" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to obtain profiles of stratigraphy between core sites B2 and B5 (Fig. <xref ref-type="fig" rid="F1"/>c). Radar data were processed in ImpDAR <xref ref-type="bibr" rid="bib1.bibx36" id="paren.26"/> using standard processing techniques, including clipping stationary periods, constant trace spacing, bandpass filtering, and normal move-out analysis to correct for antenna separation. HF data were also migrated using the SeisUnix sumigtk routine to correct for hyperbolic reflections from basal topography. Depth-variable density profiles obtained from shallow (2023 B501) and deep (2002) cores were used to calculate variable, permittivity-dependent radar-wave velocities to determine the depth of reflected layers. The LSS was semiautomatically picked across the VHF profile; a full description of this picking can be found in <xref ref-type="bibr" rid="bib1.bibx36" id="text.27"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Firn modeling</title>
      <p id="d2e1505">We model the firn pack evolution over a period of 20 years (2013–2033) at Eclipse using the Community Firn Model (CFM), an open-source, modular model framework coded in Python 3 and available for download on GitHub <xref ref-type="bibr" rid="bib1.bibx54" id="paren.28"/>. We used the CFM to simulate firn density and temperature evolution as well as meltwater retention and refreezing. We parameterize firn density evolution using the densification scheme from <xref ref-type="bibr" rid="bib1.bibx35" id="text.29"/>  and a time-invariant surface density derived from sensitivity testing (Table <xref ref-type="table" rid="TB1"/>). The densification equation from <xref ref-type="bibr" rid="bib1.bibx35" id="text.30"/>  was calibrated for use in Greenland using firn data from sites spanning a range of climates, and it is reasonable to assume that the climate at Eclipse is similar to some locations in Greenland. Any firn densification model is possibly subject to tuning biases (e.g., Kuipers Munneke model was tuned using RACMO climate data, so biases in RACMO will affect the model tuning). We do not expect that using a different firn densification equation would change our results and conclusions. The CFM uses a bucket scheme to simulate meltwater percolation, and it uses an enthalpy-based heat transfer scheme to simulate heat diffusion in the presence of phase changes. We use a parameterization for thermal conductivity from <xref ref-type="bibr" rid="bib1.bibx7" id="text.31"/>  and a Neumann boundary condition for the heat equation at the bottom of the 50 m deep firn column. We force the model with air temperature data from a weather station near the ice divide between the Kaskawulsh and Hubbard glaciers (30 km away, “Divide AWS”; Fig. <xref ref-type="fig" rid="F1"/>b), surface melt calculated from air temperatures using a simple degree day model, and a mean annual accumulation rate of 1.4 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx41" id="paren.32"/> with monthly scalars applied (Fig. <xref ref-type="fig" rid="FB5"/>). We calculate these scalars using an in situ snow accumulation record from Divide. We use 4 years of complete coverage (2004, 2005, 2006, 2008) to compute each month's mean fractional contribution to annual accumulation. When incorporated into the CFM, we distribute each month's portion of the annual 1.4 m w.e. evenly across the days of the month. We elevation-correct Divide AWS air temperatures to Eclipse (<inline-formula><mml:math id="M82" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 400 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> higher) using a lapse rate of <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.98</mml:mn></mml:mrow></mml:math></inline-formula> °C <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> following <xref ref-type="bibr" rid="bib1.bibx23" id="text.33"/>.</p>
      <p id="d2e1609">We spin the model up from <inline-formula><mml:math id="M86" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1983–2013 (exact spin-up time varies slightly among model runs as it is the time required to refresh the entire firn column and therefore dependent on densification rate and surface melt) using monthly averaged downscaled North American Regional Reanalysis (NARR) air temperatures for Eclipse from 1983 to 2013 <xref ref-type="bibr" rid="bib1.bibx28" id="paren.34"/>. We also test the model sensitivity to three other spin-up schemes using different air temperature datasets: (1) elevation-adjusted Divide AWS data from 2013 to 2024 repeated for the duration of the spin-up, (2) synthetic climate data selected from a Gaussian distribution of temperatures based on elevation-adjusted 2013–2024 Divide AWS data, and (3) like spin-up scheme (2) but with a historical 0.024 °C a<sup>−1</sup> rate of temperature change <xref ref-type="bibr" rid="bib1.bibx59" id="paren.35"/> applied for the duration of the spin-up such that the mean annual temperature at the start of the main model run is consistent with elevation-adjusted 2013 Divide AWS data. All model spin-ups are forced with a mean annual accumulation rate of 1.4 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For our spin-up sensitivity tests, we test each spin-up scheme with 15 different degree day factor (DDF) values used to estimate surface melt from air temperatures and 20 different surface density values (Table <xref ref-type="table" rid="TB1"/>). We select a representative pairing (DDF <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from all the combinations of DDF and surface density values that produce no liquid water down to 14 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in the firn in both spring 2016 and spring 2023 (consistent with firn cores and GPR showing no evidence of liquid water at those times) and a firn temperature between <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> °C at 14 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in spring 2023 (consistent with 2023 borehole temperature measurements). We refer to this selected model as our “reference model”. Our exploration of model sensitivity to spin-up scheme, DDF, and surface density values is detailed in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>.</p>
      <p id="d2e1759">We run the model with approximately 1 d time steps. After spin-up (<inline-formula><mml:math id="M99" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1983 to 2013), we apply the elevation-adjusted Divide AWS temperature data as forcing from 2013–2024 and then run the CFM under a suite of climate scenarios from 2024–2033, including (a) continuation of current climate, (b) 0.1 °C cooling, (c) 0.1 °C warming, (d) 0.2 °C warming, (e) 0.5 °C warming, and (f) 1 °C warming by 2033. We generate synthetic air temperatures for all 2024–2033 climate scenarios by computing the mean and standard deviation of the 2013–2024 Divide AWS daily mean temperature values (computed from hourly measurements) for each day of year. We then assign synthetic daily air temperatures randomly drawn from Gaussian distributions described by these means and standard deviations. Temperatures for scenario (a) are drawn from the distribution described by the mean and standard deviation of 2013–2024 data. Temperatures for scenarios (b–f) are drawn from distributions with a prescribed rate of change applied to the mean such that the specified degree of warming or cooling for each scenario is reached by 31 December 2033. For each climate scenario, we run the model 50 times and calculate the percentage of model runs that produce temperate firn at 15 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033.</p>
      <p id="d2e1777">To examine the conditions associated with the production of year-round temperate firn at 15 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, we quantify the mean winter temperature, melt season start, melt season end, melt season length, and total PDDs each year. We also quantify the number of individual melt events and each one's magnitude. We define melt events as any period over which the snow surface is continuously melting without refreeze.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Comparison among St. Elias study sites</title>
      <p id="d2e1796">To contextualize the firn conditions at Eclipse, we compare our results with data from two neighboring sites near the ice divide between the Kaskawulsh and Hubbard glaciers: Icefield Divide Camp (60.68° N, 139.78° W; 2603 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>), which we refer to as “Icefield Camp” to avoid confusion with reference to the broader Kaskawulsh/Hubbard Divide area, and the upper Kaskawulsh Glacier (60.78° N, 139.63° W; 2,640 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>), which we refer to as “Kaskawulsh”(Fig. <xref ref-type="fig" rid="F1"/>b). On 4 June 2018, VHF (400 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) and HF (5 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) ground-penetrating radar data were collected at Icefield Camp; for a full description of GPR deployment and processing, see McConnell (2019). In the same year, two firn cores were recovered from the upper northern arm of Kaskawulsh Glacier by <xref ref-type="bibr" rid="bib1.bibx49" id="text.36"/>. The cores were each 8 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> in diameter and drilled 60 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> apart from each other to depths of 36 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Core 1) and 21 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Core 2); liquid water was encountered at 34.5 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the surface in Core 1 <xref ref-type="bibr" rid="bib1.bibx49" id="paren.37"/>. Stratigraphy of both cores and density of Core 1 were measured in the field; densities for a subset of samples from Core 2 were measured after transporting the core from the field to nearby Kluane Lake Research Station. For a complete description of Kaskawulsh core recovery and analysis, see <xref ref-type="bibr" rid="bib1.bibx49" id="text.38"/>.</p>
      <p id="d2e1920">We also contextualize the Eclipse, Icefield Camp, and Kaskawulsh sites within the St. Elias Range by producing a regional hypsometric curve for the region's glacierized terrain. We derive this curve from the ArcticDEM digital elevation model at 10 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> resolution and highlight areas ranging from 2600 to 3000 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, which cover the elevation band between our sites of interest.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Firn changes at Eclipse over time</title>
      <p id="d2e1966">The St. Elias Range has been an area of glaciological study for decades. To investigate how firn at Eclipse has changed over time, we compare our 2023 data to other measurements made at Eclipse since 2002. <list list-type="custom"><list-item><label>i.</label>
      <p id="d2e1971">We compare 2023 GPR data to both VHF (400 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) and HF (10 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) GPR data from 2016, described in McConnell (2019).</p></list-item><list-item><label>ii.</label>
      <p id="d2e1991">We compare 2023 density measurements to values measured in firn cores drilled in  2016 <xref ref-type="bibr" rid="bib1.bibx41" id="paren.39"/>. Density in the 2016 Eclipse ice core was measured by weighing each core segment (to the nearest 10 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>) and dividing by the volume computed from one length measurement using a ruler (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> accuracy) and the average of three diameter measurements using calipers (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> accuracy).</p></list-item><list-item><label>iii.</label>
      <p id="d2e2043">We compare 2023 borehole temperatures to values measured in 2016 using a string of iButtons and Easylog USB temperature sensors lowered into a borehole and allowed to equilibrate for over 24 h before logging data. iButton and Easylog sensors were both deployed at a sample rate of one per 300 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, and both sensors have an instrumental accuracy of 0.5 °C. For depths with multiple sensors, the mean of the temperature readings was taken as the final value.</p></list-item><list-item><label>iv.</label>
      <p id="d2e2055">We compare 2023 density measurements to values from a 130 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> ice core recovered in 2002 <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx62" id="paren.40"/>. Density values for the 2002 core were calculated in the field using bulk mass and volume measurements at 1 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> increments <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx30" id="paren.41"/>. Ice layers were assumed to have a density of 910 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and accounted for in the bulk density calculations.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Stratigraphy</title>
      <p id="d2e2119">The stratigraphy of all three 2023 cores shows ice layers, ice lenses, and melt-affected firn throughout the core; however, variability among individual melt features is high among all three cores despite the proximity (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m) of cores B501 and B502 (Fig. <xref ref-type="fig" rid="F2"/>). The first <inline-formula><mml:math id="M129" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of all three cores comprises the seasonal snowpack, with the last summer surface (LSS) appearing as a crusty layer of melt-affected firn. Unless otherwise specified, all following stratigraphic depths are reported relative to the LSS, which we designate as below the LSS or “BLSS”.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2151">Stratigraphy of the three firn cores drilled at Eclipse Icefield in 2023. The position of the LSS 0 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> ark on the left-hand depth scale is the mean LSS depth (4.27 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f02.png"/>

        </fig>

      <p id="d2e2176">In core B501, most of the top meter of firn below the LSS is coarse-grained and contains several hairline to 1.0 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> ice layers (Fig. <xref ref-type="fig" rid="F2"/>). Approximately 1 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS, the firn transitions from coarse-grained and very melt-affected to fine-grained with fewer melt features. It remains fine-grained until 3.40 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS, where there is a sharp transition from fine- to coarse-grained firn. The largest sections of fine-grained firn occur from 2.15 to 3.40 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.25 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick) and from 7.54 to 8.83 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.29 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick). The rest of the core contains clusters of ice layers and lenses or is otherwise melt-affected based on texture and appearance. The thickest ice layer in the core begins at 5.46 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS and is 12.0 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> thick. Core B501 has a total firn ice content of 5 % by volume and 40 % of its length below the LSS (11.34 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) is visibly metamorphized and/or melt-altered (ice layers, coarse-grained, and melt-affected sections as shown in Fig. <xref ref-type="fig" rid="F2"/>).</p>
      <p id="d2e2266">In core B502, the first meter of firn below the LSS lacks the large crystals observed in core B501 but does contain numerous hairline to 1.0 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> thick ice layers (Fig. <xref ref-type="fig" rid="F2"/>). The largest sections of fine-grained firn occur from 1.80 to 3.03 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.23 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick) and from 3.72 to 4.82 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.10 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick). The thickest ice layer in core B502 begins at 1.41 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS and is 10.0 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> thick. Core B502 has a total ice content of 3 % by volume, and 19 % of its length below the LSS (5.96 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) is melt-altered.</p>
      <p id="d2e2336">In core B201, the LSS is defined based on the first appearance of coarse-grained firn rather than a crust as in B501 and B502 (Fig. <xref ref-type="fig" rid="F2"/>). The top meter of firn below the LSS is coarse-grained and contains several ice lenses. At 1.18 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS, the firn transitions from coarse- to fine-grained. The largest sections of fine-grained firn occur from 1.70 to 2.71 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.01 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick) and from 7.10 to 8.90 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS (1.80 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> thick). Core B201 has three ice layers over 10 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> thick, the largest being at least 33 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, where we stopped drilling because of mechanical difficulties. Core B201 has a total ice content of 10 % by volume, and 27 % of its length below the LSS (9.91 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) is melt-altered.</p>
      <p id="d2e2406">Ice content and melt alteration of cores B501 and B201 from the LSS down to 14.15 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (below snow surface) are summarized in Table <xref ref-type="table" rid="T2"/>. Although all three cores differ in their ice content and layer characteristics, we focus on the difference between cores B501 and B201 to maximize the depth of overlap for a greater sample domain.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2422">Ice content and melt alteration of cores B501 and B201 from the LSS to 14.15 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth below the snow surface.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Core</oasis:entry>
         <oasis:entry colname="col2">% ice content</oasis:entry>
         <oasis:entry colname="col3">% of ice layers <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> cm</oasis:entry>
         <oasis:entry colname="col4">% of total ice content</oasis:entry>
         <oasis:entry colname="col5">% melt features</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">by vol.</oasis:entry>
         <oasis:entry colname="col3">thick by vol.</oasis:entry>
         <oasis:entry colname="col4">in thick layers</oasis:entry>
         <oasis:entry colname="col5">by vol.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">B501</oasis:entry>
         <oasis:entry colname="col2">3 %</oasis:entry>
         <oasis:entry colname="col3">24 %</oasis:entry>
         <oasis:entry colname="col4">82 %</oasis:entry>
         <oasis:entry colname="col5">17 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B201</oasis:entry>
         <oasis:entry colname="col2">10 %</oasis:entry>
         <oasis:entry colname="col3">48 %</oasis:entry>
         <oasis:entry colname="col4">93 %</oasis:entry>
         <oasis:entry colname="col5">27 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Density</title>
      <p id="d2e2544">In general, density increases with depth throughout the core. However, cyclic variations can be seen, which are likely seasonal, particularly in the top 10 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Individual ice layers can also be identified by peaks in density (Fig. <xref ref-type="fig" rid="F3"/>). We report density values beginning at 1.92 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (below the snow surface) because of high uncertainty in our volume measurements for the surface snow. The mean density from 1.92 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to the LSS at 4.24 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth is <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mn mathvariant="normal">612</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Seasonal snow above the LSS was dry with no ice content. We focus here on the firn below the LSS, much of which shows signs of melt alteration. The mean density of the top 2 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of firn below the LSS is <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">638</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The mean density of the top 10 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of firn below the LSS is <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mn mathvariant="normal">689</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The mean density of the bottom 2 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the core is <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">722</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The mean overall density of core B501 is <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mn mathvariant="normal">679</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Note that although measured densities for some ice layers are implausibly high, their values are physically reasonable within uncertainty.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e2780">Firn densities of 2023 core B501 with uncertainty values (gray) and a best-fit logarithmic curve (red). Measured densities begin at 1.92 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> because the snow above that depth was too crumbly for accurate volume measurements.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f03.png"/>

        </fig>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2800">Difference in mean winter (October through March) temperatures (<inline-formula><mml:math id="M185" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, independent <inline-formula><mml:math id="M186" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) between model runs that produce year-round temperate firn by 2033 and those that do not. Significant results (at the 95 % confidence level) are in bold.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">Temperate mean (°C)</oasis:entry>
         <oasis:entry colname="col3">Polythermal mean (°C)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M187" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M188" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2024</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.63</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5">0.44</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2025</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.46</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.49</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M193" display="inline"><mml:mn mathvariant="normal">0.13</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2026</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M194" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>16.40</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M195" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>15.54</oasis:entry>
         <oasis:entry colname="col4"><bold>2.84</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="bold">4.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2027</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M197" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.35</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M198" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.51</oasis:entry>
         <oasis:entry colname="col4"><bold>3.34</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="bold">8.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2028</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M200" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.27</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M201" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.55</oasis:entry>
         <oasis:entry colname="col4"><bold>5.89</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="bold">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2029</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M203" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.20</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M204" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.56</oasis:entry>
         <oasis:entry colname="col4"><bold>7.48</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="bold">7.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2030</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M206" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.08</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M207" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.50</oasis:entry>
         <oasis:entry colname="col4"><bold>8.87</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="bold">7.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">19</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2031</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M209" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.07</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M210" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.49</oasis:entry>
         <oasis:entry colname="col4"><bold>8.78</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">18</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2032</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M212" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.01</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M213" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.50</oasis:entry>
         <oasis:entry colname="col4"><bold>10.23</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">24</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2033</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M215" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>15.88</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M216" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula>16.44</oasis:entry>
         <oasis:entry colname="col4"><bold>11.94</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="bold">8.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">33</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Borehole temperatures</title>
      <p id="d2e3326">We obtained borehole temperatures down to 14.1 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (below the snow surface) for B201 and to 15.5 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (below the snow surface) for B501 (Fig. <xref ref-type="fig" rid="F4"/>). Both profiles show an initial cooling for the top <inline-formula><mml:math id="M220" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which then transitions to a warming, with a temperature minimum just below <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> °C in the top 4 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the profile. In B201, the warming continues until <inline-formula><mml:math id="M224" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, below which the profile shows a temperature stabilization and slight cooling. In B501, the warming that begins around 3 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth continues through the bottom of the profile domain (15.5 m). At 14 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, B2's temperature is <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> °C and B5's temperature is <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.37</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> °C. Although the temperature probe was continuing to equilibrate in the borehole at 1 min (30 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> equilibration and 30 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> measurement), our fully equilibrated spot measurements (indicated by stars in Fig. <xref ref-type="fig" rid="F4"/>) are consistent with measurements acquired after only 30 s equilibration. We therefore consider our full temperature profiles to be adequately representative of borehole conditions.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e3461">Borehole temperatures measured at Eclipse in 2023. Full 2023 profiles (circles) were acquired with 30 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> sensor equilibration at each depth. Near the bottom of each borehole, one measurement (star marker) was acquired after allowing the sensor to equilibrate for 1.5 h.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Ground-penetrating radar</title>
      <p id="d2e3486">Clear, continuous englacial horizons are observable throughout the radargrams, which is generally indicative of a non-temperate snowpack (Fig. <xref ref-type="fig" rid="F5"/>). For example, our VHF (900 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) radargram shows a continuous reflector between 3 and 4 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Fig. <xref ref-type="fig" rid="F5"/>b), which we interpret to be the LSS. The LSS is determined to be at 3.66 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at site B2 and 3.60 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at site B5, differing from the average LSS depth observed in our firn cores because of assumptions about the radio-wave velocity used to interpret the GPR data. Similarly, our HF (5 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) radargram shows a continuous reflector at <inline-formula><mml:math id="M238" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, which we interpret to be the ash layer associated with the Katmai eruption of 1912 (<xref ref-type="bibr" rid="bib1.bibx63" id="altparen.42"/>; Fig. <xref ref-type="fig" rid="F5"/>c). Our HF radargram also shows the total ice thickness, which ranges from <inline-formula><mml:math id="M240" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>400 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to greater than 700 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>c). The deepest ice is found near the center of the profile, with the bedrock sloping up toward either end. Bedrock is located 484 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the surface at site B2 and 566 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the surface at site B5. There is no evidence for a firn aquifer in any of our GPR data.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3598">Ground-penetrating radar data showing the last summer surface (LSS), Katmai volcanic ash layer, and bedrock across a transect between core sites B5 and B2. Panel <bold>(a)</bold> shows surface, LSS, and Katmai layer elevations; panels <bold>(b)</bold> and <bold>(c)</bold> are radargrams from the 900 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula> and 5 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula> systems, respectively. Yellow and red dashed lines indicate the surface location of core sites B5 and B2, respectively. The <inline-formula><mml:math id="M247" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axes of panels <bold>(a)</bold>–<bold>(c)</bold> are all on the same distance scale; however, the core site locations vary slightly between the shallow (900 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) and deep (5 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) profiles because the transects skied with the two systems were not exactly aligned. Two-way travel time (TWTT, left-hand axis) is used to calculate depth (right-hand axis).</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f05.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Firn modeling</title>
      <p id="d2e3671">Assuming a continuation of current climate conditions through 2033, our reference model predicts little change in firn temperature below 10 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth; over 50 replicate runs, our median predicted firn temperature is <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.75</mml:mn></mml:mrow></mml:math></inline-formula> °C at 10 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.50</mml:mn></mml:mrow></mml:math></inline-formula> °C at 15 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, and <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn></mml:mrow></mml:math></inline-formula> °C at 20 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in 2033. However, our range of predicted firn temperatures is 5.31 °C at 10 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, 4.06 °C at 15 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, and 3.53 °C at 20 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, with the reference model producing temperate firn for at least some of the 50 replicate runs at each depth (Fig. <xref ref-type="fig" rid="F6"/>). Eclipse therefore appears to be near a threshold for supporting temperate firn below the penetration depth (<inline-formula><mml:math id="M260" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) of the annual temperature wave.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3781">Firn temperature <bold>(a–j)</bold> and liquid water content (LWC; <bold>k–l</bold>) time series and distribution plots for replicate runs of our reference model at Eclipse Icefield. Temperatures are shown at 0 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a–b)</bold>, 5 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c–d)</bold>, 10 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(e–f)</bold>, 15 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(g–h)</bold>, and 20 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(i–j)</bold> depth. LWC is calculated for the entire firn column. A degree day factor (DDF) of 6.2 and a surface density of 450 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were used for all 50 model runs. All model runs were forced using downscaled NARR air temperatures during the spin-up period (pre-2013), elevation-corrected Divide AWS data from 2013–2024, and temperatures randomly drawn from a Gaussian distribution described by the mean and standard deviation of elevation-corrected 2013–2024 Divide AWS temperatures from 2024–2033. Forcing temperatures from 2024–2033 assume a continuation of current climate conditions. Gray bars show odd-numbered years (e.g., 2015, 2017). Values on the <inline-formula><mml:math id="M269" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of the right-hand panels (distributions) correspond to those on the <inline-formula><mml:math id="M270" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of the left-hand panels (time series). Distributions include all output values over the course of 2033 (1 January through 31 December).</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f06.png"/>

        </fig>

      <p id="d2e3889">Additionally, firn conditions (even below 10 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth) at Eclipse are sensitive to changes in air temperature and exhibit threshold behavior with projected warming (Fig. <xref ref-type="fig" rid="F7"/>). Over 50 replicate model runs with 0.1 °C cooling by 2033, firn at 15 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth has a 4 % chance of being temperate year-round in 2033 compared to a 6 % chance over 50 replicate runs under a continuation of current climate or with 0.1 °C warming. The probability of firn at 15 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth becoming temperate year-round increases to 26 % with 0.2 °C warming, 72 % with 0.5 °C warming, and 98 % with 1 °C warming by 2033. The evolution of density, liquid water content, and temperature over the full firn column is shown under each modeled climate scenario in Fig. <xref ref-type="fig" rid="FB6"/> for a model run randomly selected from the 50 replicates.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3923">2013–2033 time series and 2033 distribution plots of firn temperature at 15 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. All model runs shown use a degree day factor of 6.2 and a surface density of 450 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. All model runs were forced using downscaled NARR air temperatures during the spin-up period (pre-2013), elevation-corrected Divide AWS data from 2013–2024, and temperatures randomly drawn from a Gaussian distribution described by the mean and standard deviation of elevation-corrected 2013–2024 Divide AWS temperatures from 2024–2033. Distributions include all output values over the course of 2033 (1 January through 31 December).</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f07.png"/>

        </fig>

      <p id="d2e3962">Conditions associated with the development of year-round temperate firn at 15 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth include higher total melt season positive degree days (PDDs), more individual melt events, higher average melt event magnitude, and higher mean winter temperature (Fig. <xref ref-type="fig" rid="F8"/>). We find a significant (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) difference (independent  sample <inline-formula><mml:math id="M279" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) for mean winter temperatures during all years after 2025 between model runs that do produce year-round temperate firn by 2033 and those that do not (Table <xref ref-type="table" rid="T3"/>).</p>
      <p id="d2e3996">Additionally, for model runs that do not produce temperate firn, the median of the total melt season PDDs (over all model runs for any given year) never exceeds 35 (Fig. <xref ref-type="fig" rid="F8"/>). In contrast, the median total melt season PDDs over all model runs that do produce temperate firn by 2033 range from 31.58 in 2025 to 52.88 in 2033. Finally, we find a significant (<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) difference (Wilcoxon rank sum test) for the total melt season PDDs, the number of individual melt events, and the median melt event magnitude (<inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>) between model runs that produce temperate firn at 15 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth and those that do not during most years from 2024–2033 (Table <xref ref-type="table" rid="T4"/>). We do not find any significant (<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) difference in median melt season start, end, or length (Table <xref ref-type="table" rid="T5"/>).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4048">Melt season positive degree days (PDDs, <bold>a</bold>), number of melt events <bold>(b)</bold>, melt event magnitude <bold>(c)</bold>, and wintertime temperatures <bold>(d)</bold> each year for model runs that produce year-round temperate firn at 15 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033 (blue) and those that do not (orange). We define the melt season here as May–September and wintertime as October–March. Outliers are excluded for clarity.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f08.png"/>

        </fig>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e4080">Difference in median number and magnitude of melt events (<inline-formula><mml:math id="M285" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula>, Wilcoxon rank sum tests) between model runs that produce year-round temperate firn by 2033 and those that do not. Significant results (at the 95 % confidence level) are in bold.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Median PDDs </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" colsep="1">Number of melt events </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">Melt event magnitude </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M286" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M287" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M288" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M289" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M290" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M291" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2024</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.90</oasis:entry>
         <oasis:entry colname="col4">0.02</oasis:entry>
         <oasis:entry colname="col5">0.98</oasis:entry>
         <oasis:entry colname="col6">0.27</oasis:entry>
         <oasis:entry colname="col7">0.78</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2025</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4">0.81</oasis:entry>
         <oasis:entry colname="col5">0.442</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2026</oasis:entry>
         <oasis:entry colname="col2"><bold>4.68</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.46</oasis:entry>
         <oasis:entry colname="col5">0.14</oasis:entry>
         <oasis:entry colname="col6"><bold>2.74</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mn mathvariant="bold">6.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2027</oasis:entry>
         <oasis:entry colname="col2"><bold>4.73</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>3.33</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mn mathvariant="bold">8.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><bold>3.03</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2028</oasis:entry>
         <oasis:entry colname="col2"><bold>4.72</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.93</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">1.17</oasis:entry>
         <oasis:entry colname="col7">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2029</oasis:entry>
         <oasis:entry colname="col2"><bold>6.01</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>3.15</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><bold>3.06</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2030</oasis:entry>
         <oasis:entry colname="col2"><bold>7.63</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>2.46</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>0.01</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>3.81</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2031</oasis:entry>
         <oasis:entry colname="col2"><bold>8.87</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mn mathvariant="bold">7.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">19</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>4.87</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><bold>5.47</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mn mathvariant="bold">4.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2032</oasis:entry>
         <oasis:entry colname="col2"><bold>9.16</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mn mathvariant="bold">5.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">20</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>4.21</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mn mathvariant="bold">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><bold>5.45</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mn mathvariant="bold">5.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2033</oasis:entry>
         <oasis:entry colname="col2"><bold>8.26</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">16</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><bold>4.37</bold></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><bold>3.21</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="bold">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T5"><label>Table 5</label><caption><p id="d2e4814">Difference in median melt season timing and duration (<inline-formula><mml:math id="M315" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula>, Wilcoxon rank sum tests) between model runs that produce year-round temperate firn by 2033 and those that do not. No years showed significant differences between the medians at the 95 % confidence level.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Melt season start </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">Melt season end </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">Melt season length </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M316" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M317" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M318" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M319" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M320" display="inline"><mml:mi>W</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M321" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2024</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.86</oasis:entry>
         <oasis:entry colname="col4">0.87</oasis:entry>
         <oasis:entry colname="col5">0.38</oasis:entry>
         <oasis:entry colname="col6">0.87</oasis:entry>
         <oasis:entry colname="col7">0.39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2025</oasis:entry>
         <oasis:entry colname="col2">0.24</oasis:entry>
         <oasis:entry colname="col3">0.81</oasis:entry>
         <oasis:entry colname="col4">0.89</oasis:entry>
         <oasis:entry colname="col5">0.37</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.88</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2026</oasis:entry>
         <oasis:entry colname="col2">1.27</oasis:entry>
         <oasis:entry colname="col3">0.21</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.65</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.99</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2027</oasis:entry>
         <oasis:entry colname="col2">1.36</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.06</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.72</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.09</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2028</oasis:entry>
         <oasis:entry colname="col2">0.90</oasis:entry>
         <oasis:entry colname="col3">0.37</oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5">0.74</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.66</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2029</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.98</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.50</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.32</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.19</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2030</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.83</oasis:entry>
         <oasis:entry colname="col4">1.55</oasis:entry>
         <oasis:entry colname="col5">0.12</oasis:entry>
         <oasis:entry colname="col6">1.50</oasis:entry>
         <oasis:entry colname="col7">0.13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2031</oasis:entry>
         <oasis:entry colname="col2">0.41</oasis:entry>
         <oasis:entry colname="col3">0.68</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.25</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.55</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2032</oasis:entry>
         <oasis:entry colname="col2">1.20</oasis:entry>
         <oasis:entry colname="col3">0.23</oasis:entry>
         <oasis:entry colname="col4">1.06</oasis:entry>
         <oasis:entry colname="col5">0.29</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">0.72</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2033</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.46</oasis:entry>
         <oasis:entry colname="col4">1.08</oasis:entry>
         <oasis:entry colname="col5">0.28</oasis:entry>
         <oasis:entry colname="col6">1.37</oasis:entry>
         <oasis:entry colname="col7">0.17</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Comparison among St. Elias study sites</title>
      <p id="d2e5298">Over 80 % of the St. Elias Range's glacier cover lies below both Eclipse and the Kaskawulsh/Hubbard Divide in elevation (Fig. <xref ref-type="fig" rid="FC1"/>). Although it is only about 400 <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> higher in elevation than Divide, the firn pack at Eclipse to date remains drier than that at both the Icefield Camp and Kaskawulsh study sites. Comparisons between VHF (400 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) and HF (5–10 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) GPR data from Eclipse and Icefield Camp in 2016 and 2018, respectively, showed stratigraphic differences indicating a wetter firn pack at Icefield Camp relative to Eclipse, including a bright reflector in the HF data at <inline-formula><mml:math id="M340" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth suggesting the presence of a liquid water table in the firn at Icefield Camp but not at Eclipse <xref ref-type="bibr" rid="bib1.bibx41" id="paren.43"/>. VHF data from Icefield Camp show greater signal attenuation than those from Eclipse, consistent with a wetter firn pack at Icefield Camp <xref ref-type="bibr" rid="bib1.bibx41" id="paren.44"/>. GPR data from Eclipse in 2023 show the same results: clear stratigraphy with low signal attenuation and a lack of a bright reflector that would indicate a water table.</p>
      <p id="d2e5349">At the Kaskawulsh site, two firn cores were drilled in 2018 that allow comparison of firn properties between Kaskawulsh and Eclipse. The Kaskawulsh cores showed extensive evidence of meltwater percolation and freezing events, including the saturation of firn with liquid water below 34.5 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth <xref ref-type="bibr" rid="bib1.bibx49" id="paren.45"/>. The saturated firn, or firn aquifer, likely developed since 2013 based on model results, but its age cannot be confirmed <xref ref-type="bibr" rid="bib1.bibx49" id="paren.46"/>. The seasonal snow layers at both Eclipse in 2023 and on  Kaskawulsh in 2018 were dry since drilling at both sites occurred in the very early stages of the melt season. Ice content in Kaskawulsh 2018 Core 1 is similar to that in  Eclipse 2023 core B201 and more than Eclipse 2023 cores B501 and B502 (Table <xref ref-type="table" rid="T6"/>). However, the density of the upper 10 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of firn (below the LSS) was higher in Eclipse core B501 (<inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mn mathvariant="normal">688</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) than in the Kaskawulsh 2018 cores (<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mn mathvariant="normal">588</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mn mathvariant="normal">572</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx49" id="altparen.47"/>). Much like cores B2 and B5 at Eclipse, Cores 1 and 2 on  Kaskawulsh showed some similarities in general regions of melt alteration but distinct individual stratigraphic layers.</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e5464">Ice content of Eclipse 2023 cores and Kaskawulsh Core 1. Kaskawulsh data are from Ochwat et al. (2021).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Core</oasis:entry>
         <oasis:entry colname="col2">Total length (m)</oasis:entry>
         <oasis:entry colname="col3">Total length ice (m)</oasis:entry>
         <oasis:entry colname="col4">Total ice content by vol.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Eclipse 2023 B201</oasis:entry>
         <oasis:entry colname="col2">14.15</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.03</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">7.3 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eclipse 2023 B501</oasis:entry>
         <oasis:entry colname="col2">15.58</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">3.5 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eclipse 2023 B502</oasis:entry>
         <oasis:entry colname="col2">10.28</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.8 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kaskawulsh 2018 Core 1</oasis:entry>
         <oasis:entry colname="col2">36.6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">7.2 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Firn changes at Eclipse over time</title>
      <p id="d2e5610">A borehole temperature of <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.37</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> °C was recorded at 14 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth in May 2023 at site B2, approximately the same location (within <inline-formula><mml:math id="M357" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) where borehole temperatures of <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.04</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.50</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> °C were recorded at 14 and 20 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, respectively, in May 2016 (Fig. <xref ref-type="fig" rid="F9"/>). The 1.67 °C increase in temperature at 14 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth over those 7 years supports the notion of a warming regional firn pack suggested by changes in borehole temperatures and stratigraphy at the Kaskawulsh/Hubbard Divide between 1965 and 2018, where an increase in melt and refreeze was indicated by an increase in both the quantity and thickness of ice layers and lenses observed in the firn <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx19" id="paren.48"/>. The warming firn pack and increased melt are likely due to atmospheric warming over that period, which has been shown to be amplified at high elevations; downscaled NARR gridded surface air temperatures in St. Elias show a 1979–2016 warming rate of 0.028 °C <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between 5500 and 6000 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>, approximately 1.6 times larger than the global-average warming rate from 1979–2015 <xref ref-type="bibr" rid="bib1.bibx59" id="paren.49"/>.</p>
      <p id="d2e5744">Additionally, Eclipse density profiles from 2002, 2016, and 2023 show an apparent densification of the top 20 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of firn at Eclipse over the 21-year period (Fig. <xref ref-type="fig" rid="F9"/>). We interpret this apparent densification with caution because of the unrealistically high measured densities of ice layers in the 2023 core (<inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">917</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>); however, both the location of peaks and transitions from periods of high to low measured density are consistent with our stratigraphic observations, coinciding with ice layers and seasonal changes in firn grain size. Results suggest an increase in melt within the snow and firn, which leads to densification first by rounding snow grains, allowing them to pack more closely, and eventually by filling in pore space and refreezing <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx53" id="paren.50"/>.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e5795">Eclipse 2023 <bold>(a)</bold> firn densities and <bold>(b)</bold> borehole temperatures in comparison to measurements at Eclipse from 2002 and 2016. Measured density values are shown by circles in panel <bold>(a)</bold> with a curve fitted to each year's data. The density of solid ice is shown in panel <bold>(a)</bold> by the dotted gray line. Curves are not fitted to temperature data in panel <bold>(b)</bold>. Uncertainty in 2016 temperature measurements is shown by the gray error bars. Error bars for 2023 measurements are too short to be visible behind the markers.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e5828">Results from our firn core stratigraphy, borehole temperatures, and GPR surveys (discussed in greater detail below) suggest that although there is some meltwater movement through the snow and firn at Eclipse, it is not enough to characterize the site as “wet”. Because of its high elevation (3017 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>), high accumulation rate (1.4 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and thick ice (<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">650</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), Eclipse has been the site of several past ice coring campaigns with additional core recovery planned for coming years <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx58 bib1.bibx41" id="paren.51"/>. However, recent and continued warming threatens the viability of coring efforts and the preservation of a climate record at Eclipse. Percolating melt can influence paleoproxy records by homogenizing isotope and chemical signals in the snow and firn through which it travels, as well as precluding core recovery with mechanical drills <xref ref-type="bibr" rid="bib1.bibx48" id="paren.52"/>. Although our results indicate that Eclipse to date remains relatively dry (and could therefore be a valuable ice core site), there is evidence of increasing meltwater inputs, and firn modeling shows that firn at the site could become temperate by 2033.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Meltwater movement and refreezing in snow </title>
      <p id="d2e5925">We see no evidence of seasonal melt onset in the top <inline-formula><mml:math id="M377" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of snow. However, below this depth all three firn cores display a variety of features associated with snowmelt, including ice layers, ice lenses, and bubbly and coarse-grained firn (Fig. <xref ref-type="fig" rid="FA1"/>). The presence of such features indicates that snow at Eclipse experiences melt and percolation during the summer months, leading to the formation of ice lenses and layers that freeze either in subsurface firn below 0 °C or as ambient surface temperatures drop below freezing.</p>
      <p id="d2e5945">In the early stages of summer melt, capillary action causes the small amount of liquid water produced to stay in place between the crystals <xref ref-type="bibr" rid="bib1.bibx53" id="paren.53"/>; if refreezing occurs at this stage, the refrozen melt only partially fills the boundaries between individual grains. It therefore does not produce a solid blue ice layer, instead appearing bubbly or composed of very coarse but well-sintered grains, which we note in our observations as “coarse-grained”. The strength of these layers differentiates them from depth hoar and is consistent with formation from meltwater, as repeated melt–freeze cycles increase both the size of snow crystals and the bond strength between them <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx53" id="paren.54"/>. If the temperature remains above freezing for an extended period, ponding and wet grain growth can occur <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx29 bib1.bibx42" id="paren.55"/>. Although not necessary for ponding or grain growth, blue ice layers, which we observe in all three firn cores, may form under these conditions <xref ref-type="bibr" rid="bib1.bibx42" id="paren.56"/>.</p>
      <p id="d2e5960">Ice lenses (ice layers that do not extend across the entire core diameter) are observed in all three firn cores, indicating the development of preferential pathways for meltwater movement. Percolation is a notoriously spatially variable phenomenon, often occurring via vertical pipes that develop as surface melt progresses and can leave surrounding firn unaltered <xref ref-type="bibr" rid="bib1.bibx3" id="paren.57"/>. Preferential flow through vertical pipes has been observed extensively in both seasonal snowpacks <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx15 bib1.bibx1 bib1.bibx40" id="paren.58"/> and glacier and ice sheet snow cover <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx25 bib1.bibx43 bib1.bibx6" id="paren.59"/>. We interpret the appearance of ice lenses as evidence of vertical piping in the snow and firn at Eclipse, although no pipes were sampled directly.</p>
      <p id="d2e5972">We interpret thin (<inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>) ice layers in all three cores as buried sun crusts. Sun crusts form when meltwater in the surface snow refreezes due to radiative cooling; the forming crust reduces shortwave absorption, allowing additional water vapor to condense below the initial glaze <xref ref-type="bibr" rid="bib1.bibx16" id="paren.60"/>. Buried sun crusts account for 31 % and 42 % of observed ice layers in cores B501 and B502, respectively, but only 16 % of observed ice layers in core B201. Sun crusts are surface formations that are later buried; they do not indicate movement of liquid melt through the snow and firn pack.</p>
      <p id="d2e5997">Thicker ice layers can form at the surface or deeper in the snow and firn, either through prolonged or intense individual melt events or through the cumulative effect of multiple melt events once an impermeable barrier to deeper percolation is established <xref ref-type="bibr" rid="bib1.bibx14" id="paren.61"/>. Multimeter-thick ice slabs, such as those observed in Greenland, can develop with multiyear meltwater production <xref ref-type="bibr" rid="bib1.bibx14" id="paren.62"/>. Alternatively, rapid freeze–thaw cycles can produce melt but inhibit its percolation, resulting in melt complexes that comprise many thin melt layers in close proximity, rather than thick consolidated slabs <xref ref-type="bibr" rid="bib1.bibx37" id="paren.63"/>. Our results are more consistent with the latter scenario, with the thickest ice layers observed in cores B501 and B502 being 12.0 and 10.0 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. However, the possibility of an ice slab at the bottom of core B201 cannot be dismissed, as we drilled through 33.0 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> of ice before stopping due to mechanical issues; the total thickness of that layer therefore remains unknown.</p>
      <p id="d2e6025">Neither our VHF (900 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) nor HF (5 <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) radar is high-frequency enough to identify thin and discontinuous ice layers in the near surface, which would indicate subsurface meltwater movement. However, both systems do provide a sense of the overall wetness of the firn pack. Liquid water is very effective at attenuating a radar signal, so the transition from a dry to wet firn pack can be inferred from the disappearance of stratigraphy in GPR data (e.g., <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.64"/>). The presence of clear stratigraphy in both our VHF and HF radar profiles supports previous observations of an overall dry firn pack at Eclipse <xref ref-type="bibr" rid="bib1.bibx41" id="paren.65"/>. This is in contrast to a bright reflector atop washed-out deeper stratigraphy seen in a 2018 radar profile from nearby Icefield Camp (<inline-formula><mml:math id="M385" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 400 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> lower than Eclipse), indicative of a liquid water table in the firn <xref ref-type="bibr" rid="bib1.bibx41" id="paren.66"/>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Melt percolation and spatial variability in firn character </title>
      <p id="d2e6077">GPR results, core stratigraphy, and borehole temperatures together indicate that while spatially consistent annual melt–freeze cycles can be observed at Eclipse at the kilometer scale, the effects of meltwater production and percolation across this distance can vary substantially. For example, annual cycles as approximated by transitions between ice-rich and unaltered sections of firn are consistent between cores B501 and B501 and concur with those suggested by cyclic variations in B501 density. However, the location, thickness, and type (e.g., clustered ice layers vs. coarse-grained firn) of melt features differ between the cores due to small spatial variations in the amount of snow deposited at each site and to the irregular nature of ice lens, finger, and layer formation. Furthermore, core B201, drilled <inline-formula><mml:math id="M387" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the B5 cores and at a similar elevation, has a higher firn ice content (10 % by volume) than either B501 (5 % by volume) or B502 (3 % by volume), evidence of either greater surface melt production or greater retention of liquid water in the near surface. Additionally, B201's ice content tends to comprise thicker ice layers despite B201 having lower borehole temperatures than B501 below <inline-formula><mml:math id="M389" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Table <xref ref-type="table" rid="T2"/>).</p>
      <p id="d2e6112">This difference in borehole temperatures is likely due to a difference in the surface energy balance and/or meltwater input at the two sites; the relative magnitude of surface energy balance terms can vary substantially based on prevailing weather, topographic shading, and seasonal effects, even between closely located sites with similar mean annual temperatures <xref ref-type="bibr" rid="bib1.bibx20" id="paren.67"/>. One explanation for observed differences between sites B2 and B5 is that B5 on average receives slightly more solar radiation due to its southeast aspect, especially in the winter. Eclipse is high enough in latitude that the sun rises considerably further south in the winter than summer. This being a predominantly winter phenomenon could explain why B5 has fewer melt features despite being slightly warmer; however, we consider it unlikely that the wintertime southerly migration of sun position would outweigh the influence of summertime melt production at the two sites. Moreover, in areas with surface melt and percolation into the subsurface, the role of conduction in downward heat transport is comparatively minor relative to that of latent heat associated with the refreezing of meltwater <xref ref-type="bibr" rid="bib1.bibx13" id="paren.68"/>. Another explanation is that meltwater percolation is responsible for warming the firn at B5 but occurs adjacent to our core sites and is therefore not recorded in our core stratigraphy. For example, the lateral transport of liquid water along a subsurface layer boundary from the southeast-facing areas upslope of site B5 may account for the higher subsurface heat content of the site relative to B2. However, subsurface meltwater flow would be limited by the large cold content of below-freezing firn. Additionally, site B2 could also experience liquid water transport from upslope areas, predominantly with a western aspect; though based on surface debris, the areas upslope of B2 experience greater avalanche disruption than those upslope of B5, making meltwater transport along consistent subsurface pathways less likely.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Development of temperate firn</title>
      <p id="d2e6129">The present difference in firn water content between Eclipse, Icefield Camp, and Kaskawulsh is likely because Eclipse sits <inline-formula><mml:math id="M391" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> higher in elevation than the other sites. The lower elevation but generally similar environment of Icefield Camp and Kaskawulsh relative to Eclipse make them useful case studies for predicting the future firn evolution at Eclipse with continued warming in the St. Elias Range.</p>
      <p id="d2e6147">Unlike the Kaskawulsh/Hubbard Divide area, Eclipse has yet to develop a firn aquifer, as demonstrated by GPR data from both 2016 and 2023. HF (5–10 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) data from both years show bedrock that slopes to a trough in the middle of the ice field, a bright reflector at <inline-formula><mml:math id="M394" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth interpreted as the ash layer from the 1912 Katmai eruption, and continuous stratigraphy with the exception of surface zones of avalanche debris. Neither 2016 nor 2023 HF data show a bright reflector indicative of a liquid water table. VHF (400–900 <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MHz</mml:mi></mml:mrow></mml:math></inline-formula>) data from both years also look similar, with clear and continuous stratigraphy down to 20 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth indicative of a dry firn pack. Despite remaining dry to date, borehole temperatures indicate that at least part of Eclipse Icefield is <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> °C from the melting point at depth. Moreover, model results indicate that Eclipse is close to the threshold for developing temperate firn, with a 2 % chance of year-round temperate firn at 15 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033 without continued atmospheric warming, a 51 % chance with 0.5 °C warming, and a 98 % chance with 1 °C warming. Model behavior also suggests an increase in liquid water content at depth, with the potential for firn aquifer development. During many of our model runs, the CFM failed to produce any outputs below <inline-formula><mml:math id="M400" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth starting in the late 2020s. Because the CFM is limited in its ability to handle large amounts of liquid water, we associate this pattern of model failure with high amounts of persistent liquid water, consistent with the possibility that Eclipse follows a similar trajectory to Kaskawulsh and Icefield Camp, developing a firn aquifer in the next 5–10 years.</p>
      <p id="d2e6223">We suggest that more and higher-magnitude melt events during the height of summer combined with warmer wintertime temperatures promote the development of year-round temperate firn in St. Elias. Model results for Eclipse show the development of year-round temperate firn at 15 <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth associated with an increase in total PDDs throughout the melt season, as well as with a greater number of individual melt events, higher average melt event magnitude (<inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> melt produced), and warmer winter temperatures, rather than an earlier or prolonged melt season (Fig. <xref ref-type="fig" rid="F8"/>; Tables <xref ref-type="table" rid="T4"/>, <xref ref-type="table" rid="T5"/>). In Greenland, “extreme melt events” have been related to firn's multiyear response to surface melt via the formation of thick ice slabs and ice layer complexes, which cause a near-surface barrier to downward percolation <xref ref-type="bibr" rid="bib1.bibx14" id="paren.69"/>. In St. Elias, however, an increase in the number of melt events and an increase in average individual melt event magnitude are more likely to result in sustained heat transport to depth because of the insulating effect of the region's high annual accumulation (1.4 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Eclipse) relative to accumulation rates in Greenland (0.3–1.2 <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx22" id="altparen.70"/>; <xref ref-type="bibr" rid="bib1.bibx47" id="altparen.71"/>; <xref ref-type="bibr" rid="bib1.bibx5" id="altparen.72"/>). Also consistent with observations in Greenland <xref ref-type="bibr" rid="bib1.bibx24" id="paren.73"/>, our results show that the development of year-round temperate firn at Eclipse is associated with an increase in winter temperatures. Rather than directly relating to melt production, wintertime warming affects firn properties by reducing the regeneration of cold content that occurs between melt seasons, effectively enabling the warming effects of summertime melt to compound from one melt season to the next.</p>
      <p id="d2e6337">If Eclipse does indeed develop a firn aquifer in the next decade, over 90 % (<inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula><sup>2</sup>) of the region from 59.59 to 61.58° N and 138.02 to 142.23° W could support liquid water in the firn based on its elevation (Fig. <xref ref-type="fig" rid="FC1"/>). Moreover, areas above Eclipse in elevation are largely steep mountain peaks and represent a far smaller portion of the St. Elias hydrological reservoir than the broad ice fields below, which retain more snow and ice. Deep (<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth) temperate firn up to 3000 <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> would therefore represent widespread meltwater percolation and constitute a wholesale change in the region's hydrological system. In particular, the capacity of the ice fields to buffer runoff would be reduced by meltwater's direct occupation of pore space and by intensified compaction associated with its rounding and lubrication of grains <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx2 bib1.bibx11 bib1.bibx12" id="paren.74"/>. Such processes associated with warming have contributed to a 5 % reduction in firn pore space in Greenland since 1980 <xref ref-type="bibr" rid="bib1.bibx2" id="paren.75"/>. Additionally, firn loses pore space in response to warming more readily than it gains pore space in response to cooling; observed densification of the firn to date therefore has long-term consequences for runoff buffering <xref ref-type="bibr" rid="bib1.bibx56" id="paren.76"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e6435">Stratigraphy, density, and borehole temperature data from Eclipse Icefield indicate that although the site can still be characterized as largely “dry”, the production and percolation of meltwater are present and increasing. Numerous ice layers, lenses, and regions of melt-affected firn are seen in all three firn cores recovered in 2023, with stratigraphic observations in core B501 supported by density data. Borehole temperatures indicate that from 2016 to 2023 there was a 1.67 °C warming of the firn at 14 <inline-formula><mml:math id="M417" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, and model results indicate that warming of the firn below 10 <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth may continue over the next decade, with a 2 % chance of becoming temperate year-round at 15 <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth by 2033, even without continued atmospheric warming. The chance of developing year-round temperate firn at 15 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth remains around 2 % with 0.1 °C atmospheric warming by 2033 but increases to 12 % with 0.2 °C warming, 51 % with 0.5 °C warming, and 98 % with 1 °C warming over the same period. Development of year-round temperate firn at Eclipse is associated with more total PDDs throughout the melt season, more individual melt events, and a higher average melt event magnitude combined with warmer wintertime temperatures, rather than with an earlier or prolonged melt season. Intense melt events combined with the site's high (1.4 <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) annual accumulation likely result in sustained heat transport to depth.</p>
      <p id="d2e6507">As <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the region from 59.59 to 61.58° N and 138.02 to 142.23° W is below Eclipse in elevation, the development of temperate firn and/or a firn aquifer at Eclipse would represent the ability for widespread meltwater runoff across the St. Elias Range, indicating a wholesale change in the region’s hydrological system and a reduction in its ability to buffer runoff. Given its relatively dry conditions to date, Eclipse remains a site of interest for recovering an ice-core-based long-term regional climate record. However, because the firn at Eclipse is close to temperate in places, the heterogeneity of meltwater movement and its effects on the firn must be taken into account for the successful recovery of such a record. Moreover, opportunities for ice coring may be limited with continued atmospheric warming and the associated development of temperate firn and/or a firn aquifer. Such a change in firn character at Eclipse and across areas at or below similar elevations would severely limit potential ice core sites in St. Elias; it is urgent  that a deep ice core be retrieved while the record is still intact.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Photos of representative firn core sections</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e6537">Example back-lit photos from core B501 of <bold>(a)</bold> undisturbed firn (6.97 <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS), <bold>(b)</bold> coarse-grained firn (3.40 <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS), <bold>(c)</bold> clustered thin ice layers (6.36 <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS), and <bold>(d)</bold> a thick (<inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>) ice layer (5.46 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> BLSS). Depths refer to the top of the core segment below the last summer surface (BLSS).</p></caption>
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f10.png"/>

      </fig>

</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Community Firn Model setup, sensitivity tests, and example output</title>
      <p id="d2e6617">We test the sensitivity of the Community Firn Model to the air temperatures used during the model spin-up by using four different spin-up schemes based on different air temperature data. First, we use 2013 to 2024 in situ data from an automatic weather station (AWS) near the Kaskawulsh/Hubbard ice divide (“Divide AWS”, Fig. <xref ref-type="fig" rid="F1"/>), which we repeat for the duration of the spin-up. Second, we generate synthetic climate data by randomly selecting daily temperature values from a Gaussian distribution described by the mean and standard deviation of the Divide AWS data for each day of the year, which have been corrected for the difference in elevation between Divide and Eclipse using a lapse rate of <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.98</mml:mn></mml:mrow></mml:math></inline-formula> °C <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx23" id="paren.77"/>. Our third spin-up scheme uses the same Gaussian method, but we apply a temperature correction to account for a historical warming rate of 0.024 °C <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> between 1979 and 2016 <xref ref-type="bibr" rid="bib1.bibx59" id="paren.78"/>. Finally, we use downscaled NARR temperature data from 1983 to 2013 <xref ref-type="bibr" rid="bib1.bibx28" id="paren.79"/>. We use the same mean annual accumulation rate (1.4 <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">e</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) under all spin-up schemes.</p>
      <p id="d2e6706">The model is always forced with the same Divide AWS air temperatures from 2013–2024 regardless of spin-up regime, so surface temperatures (0 <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth) from 2013 to 2024  are consistent among all four spin-up schemes (Fig. <xref ref-type="fig" rid="FB1"/>) and there is no significant difference among the four spin-up schemes at 0 <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Kruskal–Wallis test; <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.51</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). There are, however, significant differences among the four schemes (Kruskal–Wallis test) at 5 <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">65.81</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), 10 <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">485.92</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), 15 <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1535.42</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), and 20 <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4008.88</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) depth. The Kruskal–Wallis test is the nonparametric equivalent of analysis of variance; it is used to test whether two or more samples originate from the same distribution. A higher <inline-formula><mml:math id="M453" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> value reflects a larger difference between the medians of the samples in question, meaning it is more likely they are from different distributions. We select downscaled NARR air temperatures as the forcing data for our reference model spin-up because they provide the most conservative baseline firn temperatures below 10 <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth (Fig. <xref ref-type="fig" rid="FB1"/>). We therefore take all predictions of firn warming to be conservative estimates.</p><fig id="FB1"><label>Figure B1</label><caption><p id="d2e6901">Temperature and liquid water content (LWC) sensitivity to spin-up scheme. Distributions include temperature and LWC outputs from 2013–2024 under four different spin-up scenarios. Distributions are shown for temperature at 0, 5, 10, 15, and 20 <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth. LWC is calculated for the entire firn column.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f11.png"/>

      </fig>

      <p id="d2e6921">We also test the model sensitivity to the degree day factor (DDF) and surface density values used in surface melt production and firn densification. Across the 300 combinations of DDF and surface density that we tested, the CFM produced firn temperatures ranging from 0 °C to nearly <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> °C in May/June 2023, when borehole temperatures indicated firn at <inline-formula><mml:math id="M457" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth at Eclipse to be between <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> °C (Fig. <xref ref-type="fig" rid="FB2"/>). Firn temperatures at 0, 5, 10, 15, and 20 <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth, as well as total firn column liquid water content, are shown for all sensitivity test runs that produced 2023 firn temperatures consistent with borehole measurements in Fig. <xref ref-type="fig" rid="FB3"/>. Results of our sensitivity tests for model runs spun up with downscaled NARR air temperatures are shown in Fig. <xref ref-type="fig" rid="FB4"/> with our selected reference model (used for all reported results) indicated.</p>
      <p id="d2e6985">Monthly accumulation scalars used in our main CFM model runs are shown in Fig. <xref ref-type="fig" rid="FB5"/>. Examples of CFM density, liquid water content, and firn temperature outputs for the full firn column are shown in Fig. <xref ref-type="fig" rid="FB6"/>.</p><table-wrap id="TB1"><label>Table B1</label><caption><p id="d2e6996">Suite of degree day factors (DDFs) and surface density values tested in model tuning.  A total of 300 DDF and surface density combinations were tested.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="11cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Variable</oasis:entry>

         <oasis:entry namest="col2" nameend="col3" align="left">Values </oasis:entry>

         <oasis:entry colname="col4" align="left">Source</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">DDF (<inline-formula><mml:math id="M463" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col2">2.6</oasis:entry>

         <oasis:entry colname="col3">5.8</oasis:entry>

         <oasis:entry colname="col4" morerows="3" align="left">MacDougall et al. (2011): minimum (2.6 mm <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and maximum (8.2 mm <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) values derived from 2008 and 2009 data on two glaciers in the Donjek Range<sup>*</sup>. The glaciers are located between 60.783 and 60.950° N and between 139.083 and 139.217° W and range from 1890–3100 <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> in elevation.</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">3.0</oasis:entry>

         <oasis:entry colname="col3">6.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">3.4</oasis:entry>

         <oasis:entry colname="col3">6.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">3.8</oasis:entry>

         <oasis:entry colname="col3">7.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">4.2</oasis:entry>

         <oasis:entry colname="col3">7.4</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">4.6</oasis:entry>

         <oasis:entry colname="col3">7.8</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">5.0</oasis:entry>

         <oasis:entry colname="col3">8.2</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">5.4</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Surface density (<inline-formula><mml:math id="M471" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col2">225</oasis:entry>

         <oasis:entry colname="col3">430</oasis:entry>

         <oasis:entry colname="col4" align="left">McConnell (2019): surface density measured in Eclipse 2016 core (430 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">250</oasis:entry>

         <oasis:entry colname="col3">440</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">275</oasis:entry>

         <oasis:entry colname="col3">450</oasis:entry>

         <oasis:entry colname="col4" morerows="2" align="left">Ochwat et al. (2021): seasonal snow density measured in Kaskawulsh 2018 cores (450 <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The drill site was located at 60.78° N, 139.63° W at an elevation of 2640 m a.s.l.</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">300</oasis:entry>

         <oasis:entry colname="col3">460</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">325</oasis:entry>

         <oasis:entry colname="col3">470</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">350</oasis:entry>

         <oasis:entry colname="col3">480</oasis:entry>

         <oasis:entry colname="col4" align="left"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">375</oasis:entry>

         <oasis:entry colname="col3">490</oasis:entry>

         <oasis:entry colname="col4" morerows="3" align="left">Pulwicki et al. (2018): minimum (227 <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and maximum (431 <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) measured surface density values over three glaciers in the Donjek Range<sup>*</sup>. The glaciers were located between 60.791 and 60.992° N and between 139.079 and 139.246° W, covering an elevation range from 1899–3103 m a.s.l.</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">400</oasis:entry>

         <oasis:entry colname="col3">500</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">410</oasis:entry>

         <oasis:entry colname="col3">510</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">420</oasis:entry>

         <oasis:entry colname="col3">520</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e6999"><sup>*</sup> A subrange in St. Elias.</p></table-wrap-foot></table-wrap>

      <fig id="FB2"><label>Figure B2</label><caption><p id="d2e7512">Evolution of firn temperature at 14 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth under 300 combinations of degree day factor (DDF) and surface density. Dotted vertical line marks the date of in situ borehole temperature measurements in May/June 2023. Solid horizontal lines at <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> °C show the bounds of realistic May/June 2023 firn temperatures at 14 <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth based on borehole measurements.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f12.png"/>

      </fig>

<fig id="FB3"><label>Figure B3</label><caption><p id="d2e7563">Temperature <bold>(a–j)</bold> and liquid water content (LWC; <bold>k–l</bold>) time series and distribution plots for model runs that produce realistic results at Eclipse Icefield. Temperatures are shown at 0 <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a–b)</bold>, 5 <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c–d)</bold>, 10 <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(e–f)</bold>, 15 <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(g–h)</bold>, and 20 <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(i–j)</bold> depth. LWC is calculated for the entire firn column. All model runs were forced using downscaled NARR air temperatures during the spin-up period (pre-2013), elevation-corrected Divide AWS data from 2013–2024, and temperatures randomly drawn from a Gaussian distribution described by the mean and standard deviation of elevation-corrected 2013–2024 Divide AWS temperatures from 2024–2033. Forcing temperatures from 2024–2033 assume a continuation of current climate conditions. Gray bars show odd-numbered years (e.g., 2015, 2017). Values on the <inline-formula><mml:math id="M491" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of the right-hand panels (distributions) correspond to those on the <inline-formula><mml:math id="M492" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of the left-hand panels (time series). Distributions are shown for 2033 outputs only.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f13.png"/>

      </fig>

<fig id="FB4"><label>Figure B4</label><caption><p id="d2e7654">Degree day factor (DDF) and surface density pairings that produce realistic (blue filled circles), unrealistic (pink open circles), and no (gray filled circles) outputs at Eclipse. Panel <bold>(a)</bold> shows model runs spun up with downscaled NARR temperatures.  Panel <bold>(b)</bold> shows model runs spun up with temperature values randomly selected from a Gaussian distribution based on elevation-corrected Divide AWS data. A historical warming rate of 0.024 °C a<sup>−1</sup> between 1979 and 2016 was applied to these data <xref ref-type="bibr" rid="bib1.bibx59" id="paren.80"/>. Our reference model is indicated by the black dashed lines and black-outlined circle.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f14.png"/>

      </fig>

      <fig id="FB5"><label>Figure B5</label><caption><p id="d2e7688">Monthly accumulation scalars calculated using an in situ snow accumulation record from Divide. We use 4 years of complete coverage (2004, 2005, 2006, 2008) to compute each month's mean fractional contribution to annual accumulation. We compute the fractional contribution to total positive surface change (ignoring ablation) to represent snowfall rather than net accumulation.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f15.png"/>

      </fig>

<fig id="FB6"><label>Figure B6</label><caption><p id="d2e7703">Example time series of density, liquid water content, and firn temperature from 2013–2033 under six different climate scenarios: 0.1 °C cooling by 2033 <bold>(a–b)</bold>, continuation of current climate through 2033 <bold>(c–d)</bold>, 0.1 °C warming by 2033 <bold>(e–f)</bold>, 0.2 °C warming by 2033 <bold>(g–h)</bold>, 0.5 °C warming by 2033 <bold>(i–j)</bold>, and 1 °C warming by 2033 <bold>(k–l)</bold>. The right-hand panels show both density and LWC, with density shown by the color bar and white areas indicating the presence of liquid water. All climate scenarios are prescribed using surface temperature values drawn from a Gaussian distribution based on elevation-corrected 2013–2024 AWS data from Divide with the appropriate level of warming or cooling applied.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f16.png"/>

      </fig>


</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Hypsometry of St. Elias</title>

      <fig id="FC1"><label>Figure C1</label><caption><p id="d2e7745">Hypsometric curve <bold>(a)</bold> and elevation map <bold>(b)</bold> of Eclipse Icefield and the surrounding ice-covered area. Elevation is shown by the grayscale shading, with higher elevations indicated by darker gray. Non-glacierized regions are masked out; areas of pure white should be interpreted as outside our region of analysis. Elevations between 2600 and 3000 <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> (the approximate elevations of the Kaskawulsh/Hubbard Divide and Eclipse) are shown in magenta. The location of Eclipse is indicated with a yellow star.</p></caption>
        
        <graphic xlink:href="https://tc.copernicus.org/articles/19/3655/2025/tc-19-3655-2025-f17.jpg"/>

      </fig>

</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e7792">Code for the Community Firn Model can be downloaded from GitHub at <ext-link xlink:href="https://doi.org/10.5281/zenodo.8083362" ext-link-type="DOI">10.5281/zenodo.8083362</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.81"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e7804">Eclipse Icefield 2023 firn core data (density, stratigraphy, borehole temperatures) can be accessed at <ext-link xlink:href="https://doi.org/10.18739/A2000026Z" ext-link-type="DOI">10.18739/A2000026Z</ext-link> <xref ref-type="bibr" rid="bib1.bibx31" id="paren.82"/>. Eclipse 2002 and 2016 borehole temperatures can also be accessed at <ext-link xlink:href="https://doi.org/10.18739/A2MK65B0F" ext-link-type="DOI">10.18739/A2MK65B0F</ext-link> <xref ref-type="bibr" rid="bib1.bibx34" id="paren.83"/>. Ground-penetrating radar data used in this study are part of a more extensive radar dataset that will be published independently; we therefore cannot yet provide public access to these data.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7824">IK, DW, and KK formulated the research goals, hypotheses, and testing methods. IK, ES, MM, RC, and JH participated in fieldwork and data collection. IK completed data analysis with contributions from ES, CMS, MA, and SW. IK prepared the paper with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7830">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7836">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d2e7842">This article is part of the special issue “Northern hydrology in transition – impacts of a changing cryosphere on water resources, ecosystems, and humans (TC/HESS inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7849">We thank the Kluane, Champagne, and Aishihik, as well as White River First Nations, upon whose traditional territories fieldwork was conducted. We also thank Kluane Lake Research Station and Parks Canada for collaboration and support. Finally, we thank James Minifie, Stefan Bastien, Steven Bernsen, Erik Blake, Seth Campbell, Dan Dixon, William Kochtitzky, Justin Leavitt, Brittany Main, Dorota Medrzycka, Alex Mondrick, Patrick Saylor, and Cameron Wake for their efforts in obtaining field data and Naomi Ochwat for sharing insight from her own field experiences in the region.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7854">This research has been supported by the US NSF award nos. 002470, OPP-0136005, 0240878, and 0713974, as well as AGS-1203838, 1502783, 1806422, and 2002483. The Golden Family Foundation, the Bob and Judy Sturgis Exploration Fund, the Natural Sciences and Engineering Research Council of Canada, the Polar Continental Shelf Program, the American Alpine Club Research Grant, Geophysical Survey Systems Inc., the American Geophysical Union Geophysics Grant, and the University of Maine Graduate Student Government have also supported this research.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7860">This paper was edited by Florent Dominé and reviewed by two anonymous referees.</p>
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