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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-20-5453-2026</article-id><title-group><article-title>Polythermal conditions in small glaciers in the Swiss Alps</article-title><alt-title>Polythermal conditions in small glaciers in the Swiss Alps</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Beer</surname><given-names>Janosch</given-names></name>
          <email>beer@vaw.baug.ethz.ch</email>
        <ext-link>https://orcid.org/0009-0002-1128-5470</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Jacquemart</surname><given-names>Mylène</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2501-7645</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff6">
          <name><surname>Huss</surname><given-names>Matthias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2377-6923</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Santin</surname><given-names>Ilaria</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3566-2189</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Clara Racz</surname><given-names>Gabriela</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ogier</surname><given-names>Christophe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5526-6071</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Gindraux</surname><given-names>Saskia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Hösli</surname><given-names>Leo</given-names></name>
          
        <ext-link>https://orcid.org/0009-0004-7655-6379</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Moser</surname><given-names>Raphael</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3274-0997</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Irving</surname><given-names>James</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9833-206X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff7">
          <name><surname>Fischer</surname><given-names>Mauro</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0950-776X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Farinotti</surname><given-names>Daniel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3417-4570</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Laboratory of Hydraulics, Hydrology and Glaciology (VAW), Department of Civil, Environmental and Geomatic Engineering, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), bâtiment ALPOLE, Sion, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Earth Sciences, Faculty of Geosciences and Environment, University of Lausanne, Lausanne, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Centre de recherche sur l'environnement alpin (CREALP), Sion, Switzerland</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Geography, Faculty of Science, University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Geosciences, Faculty of Science and Medicine, University of Fribourg, Fribourg, Switzerland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Oeschger Centre for Climate Change Research, University of Bern, Bern, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Janosch Beer (beer@vaw.baug.ethz.ch)</corresp></author-notes><pub-date><day>23</day><month>September</month><year>2026</year></pub-date>
      
      <volume>20</volume>
      <issue>9</issue>
      <fpage>5453</fpage><lpage>5473</lpage>
      <history>
        <date date-type="received"><day>27</day><month>May</month><year>2026</year></date>
           <date date-type="rev-request"><day>16</day><month>June</month><year>2026</year></date>
           <date date-type="rev-recd"><day>1</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>2</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Janosch Beer et al.</copyright-statement>
        <copyright-year>2026</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/20/5453/2026/tc-20-5453-2026.html">This article is available from https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e222">Englacial temperature measurements in the Alps remain sparse and biased toward high-elevation accumulation areas, leaving the thermal state of ablation zones poorly constrained. Here, we present borehole thermometry and ground-penetrating radar surveys from six small Swiss glaciers (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, 2700–3800 m a.s.l.). We confirm polythermal conditions in three glaciers – Alphubel South, Chessjengletscher, and Hohsaasgletscher – where the cold-temperate transition surface lies 17–38 m below the surface and ice temperatures range from temperate to <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. A fourth site, Glacier du Sex Rouge, likely retains its historically documented polythermal structure, but borehole measurements were limited to the near-surface cold layer and do not reach the temperate ice below. A consistent spatial pattern emerges, with temperate ice at higher elevations transitioning into fully or partially cold-based glacier termini. Ground-penetrating radar retrievals are generally consistent with borehole-derived thermal conditions, with low scattering in cold ice and enhanced scattering in temperate zones. The observed thermal structures are closely linked to the history of firn cover loss, reconstructed from long-term mass balance records, with sites that lost their firn cover earliest showing the most advanced cooling. Our findings suggest that polythermal conditions among small Alpine glaciers may be more widespread than previously recognized, with important implications for glacial hazard assessments and highlighting the need for systematic regional-scale thermal observations and modeling.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Eidgenössische Technische Hochschule Zürich</funding-source>
<award-id>na</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Swiss Federal Institute for Forest, Snow and Landscape Research</funding-source>
<award-id>na</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e275">The glacier thermal structure influences key glacier processes, including ice deformation, ice viscosity, and basal sliding, as well as the storage and drainage of meltwater <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx13 bib1.bibx7 bib1.bibx8" id="paren.1"/>. Glacier thermal conditions are generally classified into three categories: (1) fully temperate, where all ice is at the pressure melting point (PMP), (2) cold, where ice temperatures remain below the PMP, or (3) polythermal, where both cold and temperate ice coexist within a glacier. Englacial temperature is influenced by multiple factors, including the surface energy balance, ice advection, internal heat production due to strain heating, geothermal heat flux, and latent heat release from refreezing water <xref ref-type="bibr" rid="bib1.bibx8" id="paren.2"/>.</p>
      <p id="d2e284">Despite their importance, englacial temperature measurements remain sparse. In the Alps, existing observations are biased toward accumulation areas above 3800 m a.s.l., including sites in the Monte Rosa, Mont Blanc and Bernese Alps massifs (<xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx26 bib1.bibx64 bib1.bibx32" id="altparen.3"/>; <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.4"/>) (Fig. S1 in the Supplement), where limited energy availability has historically resulted in predominantly cold thermal structures. More recent studies using both modeling and direct measurements have reported increasing englacial temperatures at these elevations <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx52 bib1.bibx15 bib1.bibx39" id="paren.5"/>, a trend linked to extended melt seasons and latent heat release from refreezing meltwater in firn. In contrast, observations from ablation areas at lower elevations are scarce. A small number of measurements exist from large valley glaciers, primarily dating back to the 1970s <xref ref-type="bibr" rid="bib1.bibx24" id="paren.6"/>, as well as early pioneering measurements from the nineteenth century <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx1" id="paren.7"/>. More recent ablation-area measurements are limited to a few notable exceptions: Glacier de Tête Rousse <xref ref-type="bibr" rid="bib1.bibx70" id="paren.8"/>, Vadret dal Corvatsch <xref ref-type="bibr" rid="bib1.bibx27" id="paren.9"/>, Vadret Muragl, Vadret da Rims (Engadin, Switzerland) and Glacier du Sex Rouge <xref ref-type="bibr" rid="bib1.bibx12" id="paren.10"/>.</p>
      <p id="d2e314">At these lower elevations (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3800</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.), glaciers may respond to atmospheric warming differently from higher-elevation glaciers that still retain firn-covered accumulation areas, because firn loss alters how latent heat from meltwater is retained <xref ref-type="bibr" rid="bib1.bibx31" id="paren.11"/>. Where firn is present, meltwater percolates to depth and refreezes in ice that is less thermally coupled to the surface, retaining the released latent heat; where firn is absent, meltwater instead runs off over the impermeable ice or refreezes at the surface, where the heat is quickly lost to the atmosphere. This loss of retained latent heat can outweigh other heat inputs, allowing the ice to cool despite rising air temperatures <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx68" id="paren.12"/>. While this effect has been studied in Arctic glaciers <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx42 bib1.bibx9 bib1.bibx49" id="paren.13"/>, it has received comparatively little attention in alpine and high-mountain environments <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx36" id="paren.14"/>. Such cooling may promote the development of polythermal structures and may be particularly important for small glaciers, where limited ice flow and internal deformation <xref ref-type="bibr" rid="bib1.bibx36" id="paren.15"/> reduce strain heating and sparse crevassing limits deep meltwater infiltration. Despite this expected sensitivity, the englacial thermal regime of small Alpine glaciers undergoing rapid firn loss remains almost entirely unobserved.</p>
      <p id="d2e343">Understanding where and when such polythermal structures develop has direct relevance for glacier hazard assessment. While thermal conditions alone do not directly cause instability <xref ref-type="bibr" rid="bib1.bibx11" id="paren.16"/>, they can promote preconditions for ice break-offs, avalanches <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx11 bib1.bibx6" id="paren.17"/>, glacier lake and water pocket outburst floods <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx33 bib1.bibx69 bib1.bibx70" id="paren.18"/>, and even large-scale glacier detachments <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx47 bib1.bibx43" id="paren.19"/>. In particular, polythermal glaciers are thought to be prone to the development of hazardous conditions, as the presence of cold ice can inhibit the development of efficient drainage systems, increasing a glacier's susceptibility to accumulate meltwater beyond its drainage capacity <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx70 bib1.bibx49 bib1.bibx44" id="paren.20"/>. A recent example is the 2022 collapse of the Marmolada Glacier (Dolomites, Italy), which caused 11 fatalities and has been linked to a polythermal configuration in which cold basal ice likely prevented efficient meltwater drainage, leading to a frontal ice break-off <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx56" id="paren.21"/>. Assessing the hazard potential of alpine glaciers therefore requires a better understanding of the distribution of polythermal glaciers. Unfortunately, the lack of observations currently precludes any predictions about which glaciers might fall into this category, especially in the poorly sampled 2700–3800 m a.s.l. range (Fig. S1).</p>
      <p id="d2e366">To address this knowledge gap, we instrumented six small (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) glaciers in the Swiss Alps, spanning an elevation range of 2700–3800 m a.s.l. In addition to several new glaciers, we included Glacier du Sex Rouge and Vadret dal Corvatsch in our study, where previous englacial temperature measurements <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx12" id="paren.22"/> enable a direct assessment of thermal change over decadal timescales. At all sites we measured englacial temperatures in boreholes during the summers of 2024 and 2025 and performed ground-penetrating radar (GPR) surveys to provide spatially continuous proxies for the thermal conditions, exploiting the sensitivity of radar scattering to liquid water content. To contextualise the observed thermal structures, we reconstructed the evolution of the firn cover from the 1970s to present, drawing on measured and modeled mass balance data <xref ref-type="bibr" rid="bib1.bibx23" id="paren.23"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study sites</title>
      <p id="d2e404">To address the observational gap identified above, site selection was guided by the following criteria: <list list-type="order"><list-item>
      <p id="d2e409">Elevation; targeting glaciers below the current firn line where ongoing firn loss enhances susceptibility to conductive cooling and englacial temperature observations remain scarce.</p></list-item><list-item>
      <p id="d2e413">Size; with a preference for very small glaciers (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) where strain heating can be expected to be minimal <xref ref-type="bibr" rid="bib1.bibx36" id="paren.24"/>.</p></list-item><list-item>
      <p id="d2e441">Limited crevassing, which reduces surface permeability and meltwater infiltration <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx21" id="paren.25"/>.</p></list-item><list-item>
      <p id="d2e448">An availability of previous englacial temperature measurements, enabling direct comparison with past observations.</p></list-item><list-item>
      <p id="d2e452">Accessibility.</p></list-item></list></p>
      <p id="d2e455">Following these criteria, we selected six small glaciers (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) in the Swiss Alps: Alphubel South, Chessjengletscher, Hohsaasgletscher, Glacier du Sex Rouge, Glacier de Tortin, and Vadret dal Corvatsch (hereafter Alphubel, Chessjen, Hohsaas, Sex Rouge, Tortin, and Corvatsch, respectively; Table <xref ref-type="table" rid="T1"/>; Figs. <xref ref-type="fig" rid="F1"/> and <xref ref-type="fig" rid="F2"/>). The sites cover an elevation range from ca. 2700 to 3800 m a.s.l. and mean surface slopes between 9 and 29° within the study areas. The sites span all aspects, although the majority are located on north- and west-facing slopes. Three sites (Sex Rouge, Tortin, and Corvatsch) are part of the GLAMOS mass balance monitoring network, providing multi-year surface mass balance records as context for the thermal observations <xref ref-type="bibr" rid="bib1.bibx39" id="paren.26"/>. For Sex Rouge and Corvatsch past borehole observations are available as indicated in Table <xref ref-type="table" rid="T1"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e495">Key characteristics of the six study sites. Area and elevation range were derived from the SwissALTI3D Digital Elevation Model (DEM) <xref ref-type="bibr" rid="bib1.bibx65" id="paren.27"/> clipped to the 2023 Swiss Glacier Inventory (SGI2023) outlines <xref ref-type="bibr" rid="bib1.bibx39" id="paren.28"/>. Center coordinates are given in the Swiss coordinate system (LV95; EPSG:2056). Mean slope was averaged over the study area (the GPR survey/borehole footprint); aspect was averaged over all glacier pixels. For Chessjengletscher, this study focused on the lower ice body (area given in parenthesis). The hydrological year when in-situ measurements were started in the frame of GLAMOS measurements is given. Previous <inline-formula><mml:math id="M12" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: references to englacial temperature measurements prior to this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Glacier</oasis:entry>
         <oasis:entry colname="col2">Center (E, N)</oasis:entry>
         <oasis:entry colname="col3">Area</oasis:entry>
         <oasis:entry colname="col4">Elev. range</oasis:entry>
         <oasis:entry colname="col5">Aspect</oasis:entry>
         <oasis:entry colname="col6">Slope</oasis:entry>
         <oasis:entry colname="col7">in-situ</oasis:entry>
         <oasis:entry colname="col8">Previous <inline-formula><mml:math id="M13" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">[m]</oasis:entry>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">[m a.s.l.]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">[°]</oasis:entry>
         <oasis:entry colname="col7">(since)</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Alphubel South (AH)</oasis:entry>
         <oasis:entry colname="col2">2 633 189, 1 100 627</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">3684–3890</oasis:entry>
         <oasis:entry colname="col5">SW</oasis:entry>
         <oasis:entry colname="col6">29</oasis:entry>
         <oasis:entry colname="col7">2023</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chessjengletscher (CJ)</oasis:entry>
         <oasis:entry colname="col2">2 637 008, 1 101 741</oasis:entry>
         <oasis:entry colname="col3">0.21 (0.12)</oasis:entry>
         <oasis:entry colname="col4">2881–3252</oasis:entry>
         <oasis:entry colname="col5">N</oasis:entry>
         <oasis:entry colname="col6">21</oasis:entry>
         <oasis:entry colname="col7">2023</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hohsaasgletscher (HS)</oasis:entry>
         <oasis:entry colname="col2">2 643 538, 1 109 805</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">3229–3504</oasis:entry>
         <oasis:entry colname="col5">W</oasis:entry>
         <oasis:entry colname="col6">21</oasis:entry>
         <oasis:entry colname="col7">2023</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glacier du Sex Rouge (SR)</oasis:entry>
         <oasis:entry colname="col2">2 582 698, 1 130 658</oasis:entry>
         <oasis:entry colname="col3">0.22</oasis:entry>
         <oasis:entry colname="col4">2714–2862</oasis:entry>
         <oasis:entry colname="col5">NW</oasis:entry>
         <oasis:entry colname="col6">9</oasis:entry>
         <oasis:entry colname="col7">2011</oasis:entry>
         <oasis:entry colname="col8">Fischer (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glacier de Tortin (GT)</oasis:entry>
         <oasis:entry colname="col2">2 589 973, 1 103 477</oasis:entry>
         <oasis:entry colname="col3">0.49</oasis:entry>
         <oasis:entry colname="col4">2780–3251</oasis:entry>
         <oasis:entry colname="col5">NW</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">2014</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vadret dal Corvatsch (CV)</oasis:entry>
         <oasis:entry colname="col2">2 783 238, 1 143 337</oasis:entry>
         <oasis:entry colname="col3">0.14</oasis:entry>
         <oasis:entry colname="col4">3073–3365</oasis:entry>
         <oasis:entry colname="col5">E</oasis:entry>
         <oasis:entry colname="col6">22</oasis:entry>
         <oasis:entry colname="col7">2012</oasis:entry>
         <oasis:entry colname="col8">Haeberli et al. (2004)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e781">Overview and detailed maps of the six glaciers investigated in this study. <bold>(a)</bold> Location of study sites with cantonal boundaries (VD: Vaud; VS: Valais; GR: Graubünden) and glacierized area according to the Swiss Glacier Inventory 2023 (SGI2023) <xref ref-type="bibr" rid="bib1.bibx39" id="paren.29"/>. <bold>(b–g)</bold> Alphubel (AH), Chessjen (CJ), Hohsaas (HS), Sex Rouge (SR), Tortin (GT), and Corvatsch (CV), showing field installations on orthophotos <xref ref-type="bibr" rid="bib1.bibx67" id="paren.30"/> with contour lines <xref ref-type="bibr" rid="bib1.bibx65" id="paren.31"/> and SGI2023 glacier outlines. Red arrows indicate approximate flow direction. Boreholes are distinguished by the type of thermistor string (see legend) and labeled profiles indicate transects used for temperature interpolation (L4, L47, L1, L2). Annotations on SR and CV mark sites of prior temperature measurements <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx12" id="paren.32"/>. For Hohsaas <bold>(d)</bold>, the survey extent and the extracted centerlines of a UAV-based GPR survey are indicated.</p></caption>
        <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f01.jpg"/>

      </fig>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e814">Overview images of the six study sites taken in July–August 2025: <bold>(a)</bold> Alphubel, <bold>(b)</bold> Chessjen, <bold>(c)</bold> Hohsaas, <bold>(d)</bold> Sex Rouge, <bold>(e)</bold> Tortin, and <bold>(f)</bold> Corvatsch. Approximate borehole locations are marked on each image and color-coded by sensor type: Geoprecision (G, red) and Tinytag (TT, white). The red arrow indicates the approximate flow direction of each glacier. CV1TT lies in a small depression and is therefore not directly visible; the green arrow indicates its approximate location.</p></caption>
        <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f02.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data and Methods</title>
      <p id="d2e850">We conducted two field campaigns, in the summers of 2024 and 2025. Before detailing the individual methods (Sects. <xref ref-type="sec" rid="Ch1.S3.SS2"/> to <xref ref-type="sec" rid="Ch1.S3.SS4"/>), we first give a chronological overview of this fieldwork. During the initial campaign in August 2024, we drilled shallow boreholes on all six glaciers to depths of approximately 15 m and equipped them with two thermistors. In parallel, we conducted ground-based GPR surveys on all glaciers except Alphubel. Follow-up visits in September and October 2024 were used to retrieve initial thermistor data after sensor equilibration. A second field campaign between 5 and 13 August 2025 included the retrieval of the complete shallow temperature records and the drilling of additional deep boreholes (here defined as bed-reaching boreholes of 17 to 58.3 m depth) at Alphubel, Chessjen, and Hohsaas. We retrieved temperature data from these deeper boreholes after one month (16–17 September 2025), with the exception of Chessjen, where a second readout was conducted in mid-December 2025. Additional radar measurements included a GPR survey at Alphubel in May 2025 and an uncrewed aerial vehicle (UAV)-based GPR survey at Hohsaas in September 2025. Furthermore, mass balance measurements were conducted at all six study sites. End-of-melt-season stake readings were performed between August and October 2024 and 2025, with stake networks ranging from two to seven mass balance stakes per glacier. Snow depth measurements were collected in April and May 2025. A timeline of all borehole instrumentation and GPR surveys across the six study sites is given in Fig. S2.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Ground-penetrating radar (GPR) surveys</title>
      <p id="d2e864">Two GPR systems were used in this study: a ground-based system deployed at all sites, and a UAV-based system used at Hohsaas. An overview of the setups for both systems is provided in Fig. S7.</p>
      <p id="d2e867">All ground-based GPR surveys were conducted using a Sensors &amp; Software pulseEKKO Pro system. The choice of antenna frequency balanced penetration and robustness against scattering on the one hand, and ease of handling on the other. We used 100 MHz antennas at most sites as a conservative choice, ensuring good-quality bedrock reflections given the expected ice thickness and the scattering from englacial water and inhomogeneities. At Alphubel, the steep terrain favored the more compact 250 MHz antennas which still imaged the bedrock reliably. Antenna positions were tracked with a Leica differential GNSS receiver operating in real-time kinematic (RTK) mode, providing centimeter-level positioning accuracy. Antenna elevations were corrected for the offset between the GNSS and radar antennas and for the antenna height above the ground surface. Depending on surface conditions, the antennas were either carried approximately 50 cm above the surface or, in areas with sufficient snow cover (Sex Rouge, Corvatsch, Alphubel), mounted on a sledge and pulled at approximately 10 cm above the surface. In both configurations, a constant separation of 2 m between transmitter and receiver was maintained. At most sites, the survey included a profile approximately along the glacier centerline connecting the borehole locations.</p>
      <p id="d2e871">At Hohsaas, we employed a recently developed UAV-based GPR system <xref ref-type="bibr" rid="bib1.bibx62" id="paren.33"/>, using an M300 RTK UAV (DJI) carrying a GPR unit with a single transmit-receive antenna at a center frequency of 80 MHz. Survey line positions were determined using a D-RTK 2 high-precision GNSS mobile station (DJI), providing centimeter-level RTK positioning (nominal accuracy <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> horizontal, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> vertical). By flying a regular grid of parallel lines with 4 m spacing oriented approximately along the glacier contours, we obtained a 3D data cube covering nearly the entire glacier area. For the thermal interpolation, we extracted two down-slope profiles from this grid by sampling across the survey lines, each profile intersecting three boreholes.</p>
      <p id="d2e917">All ground-based GPR data were processed using a standard workflow in Geolitix <xref ref-type="bibr" rid="bib1.bibx16" id="paren.34"/>; details are provided in Sect. S2.8.1. The UAV-based GPR data from Hohsaas were processed using a separate workflow described in Sect. S2.8.2. In both cases, the basal reflection was manually picked and ice thickness computed as the difference between surface and bed elevations, establishing the geometric framework needed for interpolation of the temperature data. We estimate the resulting bedrock-depth uncertainty at approximately <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> m, arising from the manual picking of the basal reflection and the vertical resolution of the radar. We primarily used the radar data to characterize the englacial thermal structure: In GPR data, temperate ice containing free water at grain boundaries produces diffuse scattering and signal attenuation, whereas cold ice is largely transparent to radar <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx70 bib1.bibx75 bib1.bibx63 bib1.bibx21 bib1.bibx14" id="paren.35"/>. The cold-temperate transition surface (CTS) is therefore identifiable as the boundary between diffuse scattering and low-reflectivity zones, used here to independently validate borehole-derived CTS positions and to extend the thermal interpretation beyond the borehole network.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Borehole temperature measurements</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Drilling and borehole locations</title>
      <p id="d2e951">During the initial campaign in August 2024, we drilled two shallow boreholes on each of the six glaciers using a Heucke steam drill <xref ref-type="bibr" rid="bib1.bibx29" id="paren.36"/>. We selected this system for its portability, even though it limited maximum borehole depth to 15 m. Attained borehole depths ranged from 7 to 15.6 m, reaching bedrock at the shallowest sites. We generally selected one borehole at higher and one at lower elevation per glacier to capture contrasts in surface settings. At Corvatsch and Sex Rouge, locations were chosen to allow comparison with previous measurements. Shallow boreholes for ablation stakes were drilled using a Kovacs ice auger powered by an electrical hand drill, which was also used to pre-drill the upper few meters of deeper boreholes. Ablation stake readings were used to monitor local melt and adjust the effective measurement depth of the thermistors.</p>
      <p id="d2e957">Based on the preliminary insights from the 2024 data, in 2025 we drilled boreholes to the glacier bed at Alphubel, Chessjen, and Hohsaas to acquire complete vertical temperature profiles. Drilling was conducted using a hot-water drill system consisting of a Kärcher HD 9/23G pressure pump connected to a HG43 flow heater (Fig. S3). In this manner we drilled eleven additional boreholes (four each at Alphubel and Chessjen, three at Hohsaas), with depths ranging from 17 to 58.3 m and with seven of them reaching bedrock. Boreholes were positioned near the glacier centerline and, where possible, in a way to fill gaps from the 2024 campaign. We surveyed all borehole positions using a GNSS antenna, which also enabled calculation of annual glacier surface displacement rates for the 2024 boreholes (Table S17 in the Supplement). Across both campaigns, we drilled a total of 23 boreholes. Table <xref ref-type="table" rid="TA1"/> in the Appendix provides an overview of locations, elevations, depths, and sensor types, while Figs. <xref ref-type="fig" rid="F1"/>b–g and <xref ref-type="fig" rid="F2"/> illustrate borehole positions and local topography.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Measurements and calibration</title>
      <p id="d2e974">Depending on the borehole depth, we used two thermistor setups: Tinytag Plus 2 (TGP-4520) loggers from Gemini Data Loggers for shallow boreholes, and multi-sensor thermistor chains from Geoprecision for deeper boreholes.</p>
      <p id="d2e977">During the 2024 campaign, we installed Tinytag loggers in weatherproof enclosures mounted on aluminum plates and secured to ablation stakes at the borehole sites (Fig. S4a). Each logger records two Tinytag PB-5010 negative temperature coefficient (NTC) thermistors with a nominal accuracy of <inline-formula><mml:math id="M18" 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="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (manufacturer specification) and a reading resolution of 0.02 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. We positioned the sensors so that one reached the maximum borehole depth and the second was installed five meters above. Since our shallow boreholes were approximately 15 m deep, this configuration typically provided measurements at depths of about 10 and 15 m. For the Tinytag sensors, which operated over a full year, we were able to compute the actual sensor depth at the time of readout by accounting for surface melt measured at the stake locations between installation and retrieval. Prior to deployment, we calibrated these sensors in an ice-bath setup after 1–2 h of thermal equilibration to quantify and correct sensor-specific offsets relative to 0 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The median offset was 0.3 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, larger than the nominal accuracy and thus a meaningful correction for these sensors.</p>
      <p id="d2e1030">The Geoprecision multi-sensor thermistor chains, deployed in the deep boreholes, were secured by taping the logger at the top of each chain to a 1 m wooden stick over the borehole (Fig. S4b). Depending on borehole depth, the chains contained 5–10 TNodeHD thermistors that were spaced between 2.5 and 5 m apart. Like the Tinytag sensors, the TNodeHD thermistors use NTC sensors but offer higher measurement accuracy (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, manufacturer specification) and a temperature resolution of 0.0001 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. These chains were calibrated in a temperature-controlled alcohol bath (Huber CC245 WL) against a high-precision reference thermometer (ISOTECH F250; Fig. S5). The median offset was only <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.004</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1083">The derived offsets were applied to all sensors before analysis. A detailed description of the calibration procedures, including stability criteria and a statistical overview of the offsets, is provided in Sect. S2.4. The temperature contrasts underlying our interpretations are generally substantially larger than these sensor accuracies; where individual values fall within sensor accuracy of the melting point, we interpret them accordingly.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Borehole temperature analysis</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Temperature data analysis</title>
      <p id="d2e1102">The temperature data were analyzed with two objectives: characterizing the seasonal thermal signal at each site, and constructing time-averaged vertical temperature profiles for spatial interpolation. The Tinytag time series (boreholes 1TT and 2TT), which cover nearly a full annual cycle (Fig. S2), are used to characterize seasonal variations, estimate the depth of the zero annual amplitude (ZAA; see Sect. S2.7), and identify transient events such as short-term warming following water intrusion. This analysis is presented in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>. At Sex Rouge and Corvatsch, where historical temperature measurements are available, the continuous Tinytag record also allows a day-to-day comparison with the historical data, which consist of single transient measurements.</p>
      <p id="d2e1107">To construct vertical temperature profiles, we averaged temperatures over the measurement period for each sensor, excluding an initial equilibration phase of 14 d following installation to allow the borehole to refreeze and temperatures to stabilise. The thermal disturbance introduced by hot-water drilling is spatially confined to the immediate borehole surroundings and decays over timescales of days to weeks, depending on borehole diameter and ice temperature <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx8" id="paren.37"/>. Our 14 d exclusion window is therefore sufficient for the deep boreholes to converge on stable, undisturbed ice temperatures, as confirmed directly by the equilibrated sensor records (Figs. S14–S16). Sensor depths were corrected for cumulative surface melt between installation and readout, using the melt-corrected final depth <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>final</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as the effective measurement depth for interpolation. The interpolation was restricted to Alphubel, Chessjen, and Hohsaas, where the installation of additional thermistor chains provided a higher density of observations, including measurements at or near the glacier bed. The interpolated temperature fields were subsequently compared against ground-penetrating radar reflectivity patterns to assess their consistency and to avoid over-interpretation of areas without direct temperature measurements.</p>
      <p id="d2e1124">Finally, boreholes were assigned to one of three thermal-regime categories based on the fraction of temperature measurements at or above 0 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> within sensor accuracy (0.05 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for Geoprecision, 0.20 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for Tinytag): boreholes with less than 2 % such measurements were classified as cold, those with 50 % or more as temperate, and all others as polythermal. These categories are used in Fig. <xref ref-type="fig" rid="F8"/> to contextualise borehole thermal structure within the firn cover reconstruction.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Interpolation and CTS detection</title>
      <p id="d2e1167">Borehole temperature data were interpolated along downslope profiles, connecting as many borehole locations as possible. This resulted in one profile for Alphubel and Chessjen and two profiles for Hohsaas, extracted by sampling across the contour-parallel UAV-GPR survey lines. The profiles (L4, L47, L1, L2) are marked in Fig. <xref ref-type="fig" rid="F1"/>b–d. Interpolation was performed using Radial Basis Function (RBF) interpolation <xref ref-type="bibr" rid="bib1.bibx28" id="paren.38"/>, implemented via the <monospace>RBFInterpolator</monospace> routine of the SciPy library <xref ref-type="bibr" rid="bib1.bibx72" id="paren.39"/>. RBF interpolation is well suited for this application as it makes no assumptions about the spatial pattern of the temperature field and handles sparse, unevenly distributed observations well. To account for the strong vertical temperature gradients (compared to horizontal) <xref ref-type="bibr" rid="bib1.bibx8" id="paren.40"/>, the vertical coordinate was scaled prior to interpolation. The scaling factor was determined empirically from the ratio of observed vertical to horizontal temperature gradients in the borehole data. A multiquadric kernel was used and the interpolated field was evaluated on a regular grid masked to the glacier geometry. A detailed description of the interpolation scheme is provided in Sect. S2.5.</p>
      <p id="d2e1184">The position of the CTS was estimated by identifying grid cells where the interpolated temperature approached the pressure-dependent melting point, following the Clausius-Clapeyron relation with <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.7</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">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</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.bibx8" id="paren.41"/> and a tolerance of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CTS</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Details are given in Sect. S2.6.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Mass balance and long-term firn cover development</title>
      <p id="d2e1266">Annual point mass balance was measured at all Tinytag borehole locations (1TT and 2TT). Snow depth measurements were additionally collected across each glacier in April 2025 using manual probing at 15–60 points per site (Fig. S9). Snow density was measured on site using a coring device, or adopted from measurements on nearby glaciers. At Corvatsch, Sex Rouge and Tortin, these measurements are part of monitoring programs started around 2010. Point measurements of ablation and accumulation were spatially extrapolated to the entire glacier using a distributed mass balance model <xref ref-type="bibr" rid="bib1.bibx38" id="paren.42"/>, which accounts for spatial variability and the inhomogeneous distribution of field observations. The model combines a distributed accumulation model with a temperature-index melt model that includes a potential-solar-radiation term <xref ref-type="bibr" rid="bib1.bibx30" id="paren.43"/>, rather than a full surface energy balance. Melt is computed from air temperature and potential clear-sky solar radiation, while accumulation is derived from precipitation, scaled by a correction factor and distributed using observed snow-accumulation patterns to capture the spatial variability of snow deposition across the glacier. Model parameters are calibrated against the seasonal stake and snow-probing measurements at each site. A full description of the model, including the melt and accumulation formulations and the calibration procedure, is given in <xref ref-type="bibr" rid="bib1.bibx38" id="text.44"/>. This approach allows inferring surface mass balance distribution on a 10 m spatial grid.</p>
      <p id="d2e1278">The calibrated mass balance model can also be driven by meteorological forcing outside of the period covered by in-situ measurements. In this case, the model is constrained by observed long-term changes in ice volume <xref ref-type="bibr" rid="bib1.bibx37" id="paren.45"/>. Supported by the detailed measurements of the recent years, informing about the spatial variability of mass balance components, the model thus provides a gridded annual mass balance distribution for each glacier from 1970 to 2025. These grids were used to derive spatially distributed firn cover maps by cumulatively tracking mass balance at each grid cell through time. Firn thickness was updated annually by adding positive mass balance (accumulation) and removing negative mass balance (ablation) from the existing firn column, with ablation removing the most recently deposited layers first. Grid cells were classified as firn-covered if they accumulated snow in two consecutive years. This criterion excluded single years with a larger end-of-season snow extent from the firn extent. Firn layers persisting for more than 20 years were considered ice, a simple assumption consistent with typical densification timescales in the Alps <xref ref-type="bibr" rid="bib1.bibx2" id="paren.46"/>. This approach yields annual maps of firn thickness and extent from 1970 to 2025 for each glacier. Because the reconstruction depends primarily on the accumulation component, its reliability rests on how well snow accumulation and its spatial distribution are captured. For Alphubel, Chessjen, and Hohsaas the accumulation model is constrained by only a single year of snow-probing data, fewer than at the long-monitored sites (Corvatsch, Sex Rouge, Tortin). We therefore assessed the reconstructed firn extent independently against firn/perennial-snow boundaries manually digitized from high-resolution SWISSIMAGE orthophotos <xref ref-type="bibr" rid="bib1.bibx66" id="paren.47"/>; the comparison shows no systematic bias and comparable agreement across all six glaciers, including the less-constrained polythermal sites (Sect. 3.1). From the annual firn cover maps we computed the time since firn loss for each cell.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Seasonal temperature variations and meltwater signals</title>
      <p id="d2e1307">Tinytag sensors installed in 2024 recorded nearly a full annual temperature cycle at all six sites (Fig. <xref ref-type="fig" rid="F3"/>). Over the measurement period, surface melt thinned the ice above each sensor, so that effective sensor depths changed between installation (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and retrieval (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mtext>final</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). For simplicity, all depths stated in the following refer to the installation depth. The reduction in effective depth ranged from approximately 0.4 m to more than 2 m, meaning that sensors progressively sampled shallower ice over the course of the measurement period. We expect this to result in slightly larger observed seasonal amplitudes. Unless stated otherwise, reported temperatures carry an uncertainty corresponding to the calibrated sensor accuracy, <inline-formula><mml:math id="M38" 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="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for the Tinytag and <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for the Geoprecision sensors. Seasonal temperature amplitudes varied by more than two orders of magnitude across sensors and sites, with the largest recorded amplitude of 3.64 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at Tortin (GT1TT, 4.2 m), the smallest of 0.03 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at Hohsaas (HS1TT, 15.6 m). As expected, amplitudes decreased systematically with depth and the temperatures at depths of 10 to 15 m lagged roughly six months behind the surface (Fig. <xref ref-type="fig" rid="F3"/>a–d), meaning that the lowest temperatures occurred in the summer, the highest in winter.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1399">Seasonal evolution of englacial temperature at all six study sites from August 2024 to September 2025. Line color indicates initial sensor installation depth, with solid lines denoting Tinytag borehole 1 (1TT) and dashed lines borehole 2 (2TT). For Glacier de Tortin, only borehole 1 is shown due to calibration issues affecting borehole 2. Each panel lists sensor installation depth (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mtext>init</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and depth at last readout (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mtext>final</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). At CV2TT the lower sensor failed during the measurement period and is thus not shown. Where the seasonal amplitude at the deepest sensor was sufficiently small, the ZAA is indicated.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f03.png"/>

        </fig>

      <p id="d2e1430">At Alphubel, Chessjen, Hohsaas, and Sex Rouge, temperatures showed no sign of approaching 0 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at the instrumented depths (6.8–15.4 m), suggesting that the winter cold wave could not be compensated for during summer. Two sensors are exceptions to this: SR2TT (10 m) and HS1TT (15.6 m), whose temperature maxima (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" 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="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, respectively) fall within the <inline-formula><mml:math id="M50" 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="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> sensor accuracy, meaning temperate conditions at these depths are likely. Shallow sensors at Tortin and Corvatsch were trending toward 0 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> by the end of the observation period and are most likely approaching temperate conditions later in the year. The final readout was conducted before the 2025 summer warming signal had fully propagated through the ice column. GT1TT (4.2 m) and CV1TT (2.0 m) are therefore expected to reach their annual maximum during or shortly after the melt season, while sensors at 10 to 15 m depth likely do so between December and March.</p>
      <p id="d2e1505">At Chessjen, Hohsaas, and Sex Rouge, mean temperatures increase with depth. Temperatures at greater depth are 1.2–1.5 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than those nearer the surface at Chessjen, 0.6–0.9 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer at Hohsaas, and approximately 0.1 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer at Sex Rouge. This distinction is less obvious at Alphubel, where mean temperatures appear to vary more with borehole position than with depth, ranging from <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at AH2TT (the upper borehole) and from <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at AH1TT further downslope. At Alphubel, Chessjen, Hohsaas, and Sex Rouge, where the deepest sensors exhibit amplitudes below 0.3 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, we estimated the depth of zero annual amplitude (ZAA; see Sect. S2.7) to range from 18 m at Hohsaas to 23 m at Sex Rouge (see annotation in panels a–d).</p>
      <p id="d2e1609">Short-term temperature jumps are visible in both the Tinytag and Geoprecision time series data at Alphubel and Chessjen. At CJ2TT, the shallow sensor recorded an abrupt warming of 1.64 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 18–19 July (Fig. <xref ref-type="fig" rid="F3"/>b), and at Alphubel, the second-highest borehole (AH1G) showed a temperature jump of approximately 0.15 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> on 17–18 August (Fig. S14a). Since these events occurred during the melt season and have transient character, we interpret them as the effect of englacial meltwater, likely routed via crevasses and englacial channels. The resulting temperature jumps reflect heat input to the surrounding ice, through direct exchange with liquid water, latent heat release upon refreezing, or both – processes central to the thermal structures discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS3"/>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Decadal changes of englacial temperatures at Sex Rouge and Corvatsch</title>
      <p id="d2e1644">The availability of previously published borehole data at Sex Rouge and Corvatsch provides a rare opportunity to investigate how englacial temperatures at these sites have evolved over decadal timescales (Fig. <xref ref-type="fig" rid="F4"/>). The earlier measurements represent multiple, single-day snapshots, while our data comprise a full annual time series. To compare, we extracted the matching days of the year from our time series for each prior measurement date. Matching the day of year controls for the seasonal phase of the signal but not for inter-annual weather variability, which still influences temperatures within the seasonally affected zone sampled here. We therefore compare the historical single-day measurements against the full modern annual range at each depth (min-max envelope in Fig. <xref ref-type="fig" rid="F4"/>), and interpret differences within the seasonal zone in terms of the broader thermal structure and its evolution rather than as precise climatic-trend magnitudes.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1653">Englacial temperature profiles at Sex Rouge and Corvatsch compared with historical borehole data. <bold>(a)</bold> SR1TT versus four repeated profiles from BH1 by <xref ref-type="bibr" rid="bib1.bibx12" id="text.48"/>. <bold>(b)</bold> SR2TT versus two single-point measurements from BH2 by <xref ref-type="bibr" rid="bib1.bibx12" id="text.49"/>. <bold>(c)</bold> CV2TT versus five profiles by <xref ref-type="bibr" rid="bib1.bibx27" id="text.50"/>. Red diamonds indicate the time-averaged temperature at each sensor depth over the August 2024–September 2025 measurement period; horizontal bars show the observed min–max range. <bold>(d–f)</bold> Temperature difference relative to historical measurements, computed by matching each historical snapshot to the same calendar day in our 2024/25 record; vertical lines indicate the mean difference <inline-formula><mml:math id="M65" display="inline"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> at each sensor depth.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f04.png"/>

        </fig>

      <p id="d2e1697">At Sex Rouge, <xref ref-type="bibr" rid="bib1.bibx12" id="text.51"><named-content content-type="post">data from 2013–2015</named-content></xref> documented a polythermal structure with a cold surface layer of approximately 20 m overlying a temperate core. We also found a persistent cold surface layer with a strong temperature gradient trending to 0 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with depth (Fig. <xref ref-type="fig" rid="F4"/>a and b), suggesting that this polythermal structure likely still persists today. Relative to the 2013–2015 measurements, temperatures at 10 m rose by 0.65 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at SR2TT and by 0.23 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at SR1TT, while at 15.2 m temperatures fell by 0.11 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at SR1TT, remaining within sensor accuracy (<inline-formula><mml:math id="M70" 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="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). However, with approximately 20 m of surface ice lost through ablation since 2013 <xref ref-type="bibr" rid="bib1.bibx23" id="paren.52"/>, our sensors sample ice that was located considerably deeper during the earlier measurement period. The hollow red diamonds in Fig. <xref ref-type="fig" rid="F4"/> show our current temperatures projected to their estimated depths at the time of the prior measurements, illustrating this reference-frame shift. This vertical shift complicates our interpretations. The observed signal reflects the effects of downward cold wave penetration and surface removal of cold ice through ablation, rather than atmospheric forcing alone. These competing drivers are discussed further in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>.</p>
      <p id="d2e1776">At Corvatsch, <xref ref-type="bibr" rid="bib1.bibx27" id="text.53"/> documented cold-based conditions with temperatures of approximately <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at 13 m depth in 1999/2000. The glacier has since thinned to a point where the entire ice column, now only 9.3 m thick (as of 2026), is subject to seasonal temperature fluctuations (Fig. <xref ref-type="fig" rid="F3"/>f). Temperatures at 4.3 m depth exhibit a clear seasonal cycle but remain sub-zero throughout the year, indicating that summer warming is insufficient to bring the ice to the melting point. Our measured temperatures at 4.3 m depth were on average <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> colder than the measurements at comparable depths from <xref ref-type="bibr" rid="bib1.bibx27" id="text.54"/>. The lower sensor reached the bed at 9.3 m but failed during equilibration, recording <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with temperatures still declining at the time of failure, suggesting the bed remains cold today. Among the six study sites, Corvatsch occupies a unique topographic position on a narrow ice ridge. The ridge geometry limits snow accumulation and firn formation while exposing both flanks to lateral conductive heat loss, providing an additional cooling pathway beyond surface forcing alone <xref ref-type="bibr" rid="bib1.bibx27" id="paren.55"/>. The persistently cold conditions observed here are therefore at least partly a consequence of this inherently cold topographic setting, alongside the long firn-free history of the site, discussed further in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Polythermal sites (Alphubel, Chessjen, Hohsaas)</title>
      <p id="d2e1861">Because deep boreholes reaching the glacier bed were drilled only at Alphubel, Chessjen, and Hohsaas (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS1"/>), the following analysis of the full vertical thermal structure is limited to these three sites. The shallow (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> m) boreholes at Corvatsch, Sex Rouge, and Tortin sample only the seasonally influenced near-surface layer. At all three deep-drilled sites, englacial temperature profiles reveal polythermal conditions (Figs. <xref ref-type="fig" rid="F5"/>–<xref ref-type="fig" rid="F7"/>), with a recurring spatial pattern: a temperate core in the upper reaches transitioning to partially and fully cold-based conditions near the terminus.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1882">Englacial temperature structure and radar reflectivity along Alphubel profile L4 (for profile location, see Fig. <xref ref-type="fig" rid="F1"/>b). <bold>(a)</bold> Interpolated englacial temperature field derived from borehole measurements. Temperatures at AH1G–AH3G and AH3TT are averaged over the period 10 August–16 September 2025; AH1TT–AH2TT over September 2024–September 2025. Modeled firn cover extent is shown for 2010 (orange) and 2025 (blue). Whiskers along the bed denote <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> m bedrock-depth uncertainty. Black ticks along each borehole mark the depth of zero annual temperature amplitude (ZAA), below which seasonal temperature variations become negligible. <bold>(b)</bold> Vertical temperature profiles for all boreholes; the gray-shaded area marks temperatures above 0 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the solid black line marks the ZAA depth. <bold>(c)</bold> Depth radargram along profile L4 with borehole positions and the CTS derived from the interpolated temperature field.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f05.png"/>

        </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1925">Englacial temperature structure and radar reflectivity along Chessjen profile L47 (for profile location, see Fig. <xref ref-type="fig" rid="F1"/>c). <bold>(a)</bold> Interpolated englacial temperature field derived from borehole measurements. Temperatures at CJ1G, CJ2G, CJ3TT, and CJ4TT are averaged over the period 8 August–3 September 2025; CJ1TT and CJ2TT over September 2024–September 2025. Modeled firn cover extent is shown for 2025. In the year 2010 no firn was present at Chessjen. Black ticks along each borehole mark the ZAA depth. <bold>(b)</bold> Vertical temperature profiles for all boreholes; the gray-shaded area marks temperatures above 0 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the solid black line marks the ZAA depth. <bold>(c)</bold> Depth radargram along profile L47 with borehole positions and the CTS derived from the interpolated temperature field.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f06.png"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1958">Englacial temperature structure and radar reflectivity at Hohsaas. <bold>(a)</bold> Interpolated temperature fields along profiles L1 (left) and L2 (right) (for profile location, see Fig. <xref ref-type="fig" rid="F1"/>d). Temperatures at HS1G, HS2G, and HS3G are averaged over the period 13 August–27 September 2025; HS1TT and HS2TT over September 2024–September 2025. Whiskers along the bed denote <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> m bedrock-depth uncertainty. Black ticks along each borehole mark the ZAA depth. <bold>(b)</bold> Vertical temperature profiles for all boreholes (HS1G, HS2G, HS3G, HS1TT, HS2TT); the gray-shaded area marks temperatures above 0 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the solid black line marks the ZAA depth. <bold>(c)</bold> Depth radargram along profile L2 with borehole positions and the CTS derived from the interpolated temperature field.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f07.png"/>

        </fig>

      <p id="d2e1999">In all three glaciers, we determined the CTS to be at relatively shallow depths of 17–20 m in the upper reaches, while ice near the termini was found to be predominantly cold (Figs. <xref ref-type="fig" rid="F5"/>a, <xref ref-type="fig" rid="F6"/>a, and <xref ref-type="fig" rid="F7"/>a, b). At Alphubel, temperate ice was confirmed between 25 and 33 m depth at AH1G and between 20 and 25 m at AH3G, with the transition to cold conditions occurring approximately 110 m upstream of the terminus (Fig. <xref ref-type="fig" rid="F5"/>a). Notably, in both AH1G and AH3G, temperatures approach 0 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at intermediate depths but drop below 0 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> again toward the bed, suggesting the temperate zone forms a sort of core zone. As neither AH1G nor AH3G have sensors shallower than 17 m, the cold ice overlying the temperate zone is not directly sampled but is assumed to correspond to the seasonally influenced surface layer (Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). At Chessjen, the CTS was identified at the two higher-elevation boreholes (CJ1G and CJ3TT) at depths of 17 to 38 m, with the CTS descending toward the bed approximately 180 m upstream of the terminus, beyond which cold conditions dominate throughout (Fig. <xref ref-type="fig" rid="F6"/>a). At Hohsaas, the CTS was identified at a depth of 20 m at the higher-elevation borehole (HS1G), from where it rises toward the surface and remains shallow (0–5 m) down-glacier until approximately 150 m from the terminus, where it begins to descend toward the bed. At the northern profile L1, the ice becomes progressively thinner and colder, suggesting a more laterally extensive cold zone in this part of the glacier (Fig. <xref ref-type="fig" rid="F7"/>a).</p>
      <p id="d2e2037">Despite a broadly similar thermal structure across the three sites, basal conditions differ. At Alphubel, bed temperatures remained cold throughout, reaching as low as <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at the terminus. At Chessjen, CJ2G reached the bed at 17 m depth, confirming temperate conditions in early August 2025, but cooled to <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> by mid-December (Fig. S15b). We interpret this as a seasonally evolving basal thermal regime: meltwater sustains temperate conditions through summer, while basal refreezing occurs once melt ceases in autumn. At Hohsaas, HS2G confirmed temperate basal conditions close to the terminus despite cold conditions in the overlying ice column, though basal coverage between HS2G and HS1G remains limited.</p>
      <p id="d2e2080">To complement the point measurements from the boreholes with a spatially continuous view of the thermal structure, we next consider the radar profiles. The GPR profiles at all three sites are broadly consistent with the borehole-derived thermal conditions, though the degree of agreement varies. At Alphubel (Fig. <xref ref-type="fig" rid="F5"/>c), the profile shows a substantially cleaner signal than at the other two sites, with little scattering even in the area where boreholes confirmed temperate ice. This difference is at least partly attributable to survey timing: unlike the late-summer surveys at Chessjen and Hohsaas (August–September), the Alphubel GPR survey was conducted at the end of winter in mid-May (Fig. S2). At this time of year and at 3800 m a.s.l., liquid water is expected to be at its seasonal minimum regardless of thermal state, potentially suppressing scattering that would otherwise indicate temperate ice. Still, the clean signal below the seasonally influenced layer suggests limited englacial water content at depth, supporting the cold bed interpretation derived from the borehole temperatures. At Chessjen (Fig. <xref ref-type="fig" rid="F6"/>c), the scattering pattern corresponds well with the interpolated temperature field. Radar scatter is high throughout the temperate zone up-glacier and diminishes toward the terminus below CJ1G. Notably, scattering extends to the glacier surface in the upper part of the profile, suggesting the ice column is temperate throughout and that the CTS detected here reflects the seasonal penetration depth of the winter cold wave rather than a stable year-round thermal boundary. At Hohsaas (Fig. <xref ref-type="fig" rid="F7"/>c), a qualitatively similar pattern is observed, with increased scattering around the upper borehole HS1G and a largely clean signal in the cold terminus. At both Chessjen and Hohsaas, enhanced near-bed scattering suggests that temperate basal conditions are likely more extensive than the borehole network resolves.</p>
      <p id="d2e2089">While polythermal glacier structures can arise through a variety of mechanisms <xref ref-type="bibr" rid="bib1.bibx42" id="paren.56"/>, the consistent pattern observed across all three sites, with temperate ice confined to higher elevations and cold conditions prevailing toward the terminus, points to a shared underlying control on englacial heat distribution, a point that we further examine in the following.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Firn cover loss as primary control on the thermal structure of small glaciers</title>
      <p id="d2e2112">Temperate ice within glaciers can be generated or sustained by several heat sources, including geothermal heat flux, strain heating associated with ice flow, latent heat release from refreezing of percolating meltwater, and advection of temperate ice from upstream <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx74 bib1.bibx54 bib1.bibx21 bib1.bibx51 bib1.bibx48 bib1.bibx60" id="paren.57"/>. The glaciers investigated here are all small (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), meaning that internal heat production from strain heating is expected to be limited <xref ref-type="bibr" rid="bib1.bibx36" id="paren.58"/>, consistent with the low surface displacement rates observed at all sites (Table S17). Since the temperate ice identified here lies in the uppermost reaches of each glacier, where no upstream ice input exists, advection from upstream can also be ruled out as a means of supplying temperate ice. Geothermal heat flux in the region is modest (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mW</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx53" id="altparen.59"/>) and, as a basal heat source, cannot account for the temperate conditions observed throughout substantial portions of the ice column at these sites.</p>
      <p id="d2e2173">Instead, we believe that the observed thermal structure is primarily controlled by firn cover distribution and its temporal evolution. Firn acts as a meltwater reservoir, retaining water that percolates to depth, refreezes, and releases latent heat, warming the underlying ice and sustaining temperate conditions <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx36 bib1.bibx15" id="paren.60"/>. The densification of temperate firn into glacier ice provides an additional, if secondary, supply of temperate ice to the system. Where firn is absent and meltwater runs off, both of these heat sources are lost and the ice can cool. This process chain is supported by modeling studies showing that meltwater refreezing and entrapment can dominate the internal heat budget of small polythermal glaciers, making the thermal structure highly sensitive to changes in surface melt and firn availability <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx74 bib1.bibx18" id="paren.61"/>.</p>
      <p id="d2e2182">To examine the role of firn cover as a control on englacial thermal structure, we reconstructed its evolution across the six studied glaciers from the 1970s until today using modeled annual mass balance distribution constrained with GLAMOS mass balance data <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx23" id="paren.62"/>. Across the six sites, firn-free durations at the borehole locations span from less than a decade at Alphubel to more than three decades at Sex Rouge, Tortin and Corvatsch, providing a range of exposure histories against which to assess the thermal response to firn loss (Fig. <xref ref-type="fig" rid="F8"/>).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2193">Number of years a given area was firn-free, mapped across all six study glaciers and draped over a shaded-relief DEM <xref ref-type="bibr" rid="bib1.bibx65" id="paren.63"/>. Darker colors indicate longer firn-free periods (prior to 2025). The 2025 firn cover extent is indicated in light blue. Grid cells which have been part of the ablation area over the entire time series (1970–2025) are masked out. Borehole colors indicate thermal regime: dark blue <inline-formula><mml:math id="M94" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> cold (entire ice column frozen to the bed); light blue <inline-formula><mml:math id="M95" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> polythermal; red <inline-formula><mml:math id="M96" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> temperate. The blue line marks the SGI2023 outline.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f08.png"/>

        </fig>

      <p id="d2e2226">Firn-free exposure broadly reflects the thermal state across the six sites, with longer firn-free histories associated with more advanced cooling. The clearest examples are Sex Rouge and Corvatsch, both firn-free for more than three decades, where cold surface conditions prevail throughout the measured depth range. At Sex Rouge, the apparent near-surface warming relative to previous measurements (Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>) is most plausibly explained by surface ablation removing cold ice from above rather than a genuine change in thermal forcing. At Tortin, where borehole locations have similarly been firn-free for more than 30 years, shallow measurements alone are insufficient to characterize the full thermal structure.</p>
      <p id="d2e2231">At Chessjen and Hohsaas, the spatial pattern of time since firn loss broadly reflects the glacier's thermal structure, with the CTS deepest in areas that lost firn earliest, suggesting the up-glacier retreat of the firn line has left a spatial imprint on the thermal regime. At both sites, firn-free duration increases down-glacier, ranging from approximately 15–20 years at the uppermost borehole positions to 25–30 years toward the terminus. That temperate ice nonetheless persists beneath the upper reaches, despite one to two decades without firn, reflects the slow pace of conductive cooling combined with continued heat input. Conductive cooling of a temperate layer tens of meters thick proceeds on a timescale of decades <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx17 bib1.bibx18" id="paren.64"/>; over the firn-free period, the cold front driven by firn loss would be expected to penetrate roughly 20–25 m, broadly consistent with, though slightly deeper than, the 17–20 m CTS depths observed. That temperate ice is preserved to somewhat shallower depths than conduction alone would predict points to additional heat input. Two mechanisms contribute. First, the downward migration of the cold front is slowed by the latent heat released as residual pore water in the temperate ice refreezes ahead of it, so that temperate conditions persist longer than pure conduction would imply. Second, meltwater delivery to the firn-free temperate zone has likely not ceased: at both sites, patches of firn persist in the highest reaches of the glacier, up-glacier of the borehole network (Fig. <xref ref-type="fig" rid="F8"/>), and bergschrunds and crevasses provide englacial entry points for meltwater draining from these still firn-covered areas into the temperate zone below, sustaining it through latent-heat release. At Chessjen, the transient temperature jump observed in mid-July (Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>) provides indirect support that such pathways remain active.</p>
      <p id="d2e2241">The situation at Alphubel is more nuanced. While the firn-free terminus is cold and the firn-covered upper glacier is temperate, consistent with the pattern seen at Chessjen and Hohsaas, the underlying thermal history likely differs. The largely cold-based terminus is difficult to reconcile with a firn-free period of only 5–10 years, and the cold-temperate-cold vertical structure observed, where a temperate layer is sandwiched between a cold surface layer and a cold bed, suggests a fundamentally different thermal history at this site. Historical imagery from 1930 shows Alphubel as a much thicker hanging glacier with a prominent frontal break-off (Fig. S18), a morphology more characteristic of cold or polythermal high-elevation hanging glaciers with limited basal sliding <xref ref-type="bibr" rid="bib1.bibx19" id="paren.65"/>. This is in contrast to the much larger valley glacier systems represented by Chessjen and Hohsaas, as documented in the historical imagery. We therefore interpret the cold terminus as largely predating the current period of firn loss, with the temperate core in the upper glacier representing a relatively recent feature sustained by meltwater percolation from the remaining firn cover above. A similar transition from a cold to a polythermal regime has been documented at Whymper hanging glacier on the Grande Jorasses south face <xref ref-type="bibr" rid="bib1.bibx22" id="paren.66"/>.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Implications for our understanding of Alpine glacier thermal regimes</title>
      <p id="d2e2258">The conceptual diagram in Fig. <xref ref-type="fig" rid="F9"/> illustrates our interpretation of how the thermal structure of small Alpine glaciers may have evolved in response to climate change and the associated firn cover retreat over the last decades. In the past (e.g., 1980s), the glaciers studied here were likely entirely temperate. Extensive firn cover, sustained by a cooler climate, provided an effective heat source through meltwater percolation and latent heat release upon refreezing <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx36 bib1.bibx15" id="paren.67"/>. Active glacier dynamics promoted crevassing, creating englacial entry points for meltwater and further supporting temperate conditions throughout the ice column via cryo-hydrologic warming <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx21" id="paren.68"/>. Greater ice flow velocities also enhanced strain heating, providing an additional internal heat source <xref ref-type="bibr" rid="bib1.bibx8" id="paren.69"/>.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2274">Conceptual illustration of the thermal consequences of firn cover loss under glacier recession, comparing the 1980s with present-day (2026) conditions.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/5453/2026/tc-20-5453-2026-f09.png"/>

        </fig>

      <p id="d2e2283">Sustained atmospheric warming has driven firn retreat, progressively reducing latent heat input from meltwater percolation and refreezing. Where firn is lost, meltwater runs off at the surface rather than percolating into the pore space. The associated latent heat release upon refreezing is therefore lost <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx68" id="paren.70"/>. Simultaneously, ongoing glacier recession reduces ice flow velocities and with it strain heating, while also limiting crevassing and the availability of englacial meltwater pathways. In the absence of firn, both the loss of latent heat from refreezing and the reduced insulation allow the winter cold wave to penetrate the ice surface more effectively, initiating the development of a cold surface layer and, over time, cold ice. The thermal response to firn loss is neither instantaneous nor spatially uniform. This is illustrated by the contrast between profiles L1 and L2 at Hohsaas, which are only 20–30 m apart but show markedly different thermal structures (Fig. <xref ref-type="fig" rid="F7"/>a). At L1, ice thickness (15–17 m) is comparable to the seasonally-influenced layer, leaving insufficient ice thickness for a temperate core to persist even where firn-loss history is similar to L2; at L2, the greater ice thickness (<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> m) provides enough insulated depth for temperate ice to remain despite ongoing cooling. This contrast highlights how ice thickness modulates the pace and completeness of thermal response to firn loss, independent of the surface forcing itself. Elevation, topography, residual meltwater supply, and the thermal inertia of the ice all modulate how quickly and how completely cold conditions develop following firn loss. In some cases, atmospheric warming may already offset the cooling initiated by firn loss, for instance where accelerated surface ablation removes cold ice faster than the winter cold wave can produce it. Alphubel may represent an exception to this thermal history, reminding us of the complexity of thermal responses to climate change. As a high-elevation hanging glacier, it likely harboured cold or polythermal conditions at its terminus even historically, in contrast to Chessjen and Hohsaas which, as much larger valley glacier systems, were likely fully temperate (Fig. S18).</p>
      <p id="d2e2302">The results presented here suggest that polythermal structures may be more widespread among small Alpine glaciers than previously recognized. The existing observational ice temperature record is strongly biased toward larger glaciers <xref ref-type="bibr" rid="bib1.bibx24" id="paren.71"/> and high-altitude sites <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx26 bib1.bibx32" id="paren.72"/>, largely overlooking smaller glaciers at lower elevations where firn is progressively being lost and polythermal structures may be actively emerging. Regional-scale thermal modeling, informed by the growing body of englacial temperature observations such as those compiled in the glenglat database <xref ref-type="bibr" rid="bib1.bibx45" id="paren.73"/> and the records presented here, offers a path toward assessing the current distribution of polythermal structures and projecting their evolution under continued atmospheric warming. Such projections are particularly relevant given the hazard implications of polythermal configurations.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Possible hazard implications</title>
      <p id="d2e2322">Polythermal glaciers are not dangerous per se. The thermal structures identified in this study are however consistent with a configuration known to promote meltwater accumulation beyond drainage capacity: a frozen terminus combined with a temperate upper glacier <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx73 bib1.bibx70 bib1.bibx44 bib1.bibx55" id="paren.74"/>. During drilling at Alphubel, the only site with direct evidence for a fully frozen terminus, pressurised water escaped from borehole AH1TT at approximately 15 m depth, producing a water fountain 3 to 5 m high. This indicates that water pressure locally exceeded the ice overburden, implying that meltwater had been trapped sub- or englacially and could not drain. If such conditions occur at the glacier bed, basal friction may be substantially reduced locally <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx8" id="paren.75"/>. A broadly similar configuration, combining a cold glacier tongue with pressurised englacial water, has been discussed in the context of the 2022 Marmolada collapse <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx56" id="paren.76"/>. Whether similar configurations exist at other small Alpine glaciers remains unknown, but the number of potentially affected sites may be substantial.</p>
      <p id="d2e2334">To give a rough sense of how many glaciers share the size and elevation characteristics of our study sites, we filtered the SGI2023 <xref ref-type="bibr" rid="bib1.bibx39" id="paren.77"/> for glaciers smaller than 0.5 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> within an elevation range of 2900 to 3800 m a.s.l. The choice of 2900 m a.s.l. as a lower bound roughly excludes elevations where surface ablation dominates over cold ice formation, as suggested by our observations at Sex Rouge. Approximately 515 glaciers in Switzerland meet these criteria, a number that is likely an underestimate, as small hanging glaciers at high elevations are frequently mapped as part of glacier accumulation areas. This underscores the need for a systematic assessment of the thermal structure of small Alpine glaciers and its implications for hazard potential.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e2361">In this study, we presented englacial temperature data for six small glaciers (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) in the Swiss Alps. The observations span an elevation range of 2700–3800 m a.s.l., directly addressing a key gap in the existing ablation area record. Our dataset combines borehole thermometry from a total of 23 boreholes with ground-penetrating radar surveys to assess glacier thermal structures.</p>
      <p id="d2e2385">Polythermal conditions were identified in three glaciers, Alphubel, Chessjen, and Hohsaas, with the CTS occurring at depths of 17 to 38 m. Beneath the cold seasonal layer, ice temperatures ranged from temperate conditions to <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. A consistent pattern emerged across these three glaciers, with a generally temperate zone at higher elevations transitioning into fully or partially cold-based glacier termini. However, evidence for a consistently frozen glacier terminus was only found at Alphubel, the highest-elevation glacier in our dataset. At the three additional shallow-drilled sites, Corvatsch appears predominantly cold-based, while Sex Rouge likely retains a polythermal structure with a cold surface layer overlying temperate basal ice <xref ref-type="bibr" rid="bib1.bibx12" id="paren.78"/>, though this remains poorly constrained at depth. At Tortin, sensors were limited to the seasonally influenced surface layer, precluding any assessment of the deeper thermal structure. Our GPR surveys confirmed the spatial thermal patterns inferred from boreholes, with low scattering in cold ice and enhanced scattering in temperate zones. Enhanced near-bed scattering at Chessjen and Hohsaas further suggests that temperate basal conditions may extend beyond what the borehole network resolves.</p>
      <p id="d2e2411">The fact that three out of six glaciers were confirmed polythermal, with a fourth, likely retaining its historically documented polythermal structure <xref ref-type="bibr" rid="bib1.bibx12" id="paren.79"/>, suggests that this thermal regime may be more widespread among small Alpine glaciers than previously recognized. A systematic regional-scale assessment of their distribution and hazard implications represents an important next step, and our dataset provides essential constraints for the thermal modeling efforts needed to address it.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Borehole Inventory</title>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e2433">Overview of the boreholes drilled in this study, showing drilling date, borehole coordinates (<inline-formula><mml:math id="M103" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M104" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>; EPSG:2056), elevation (<inline-formula><mml:math id="M105" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>), and sensor depth at the time of installation. The borehole ID suffix indicates the sensor type (TT <inline-formula><mml:math id="M106" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Tinytag loggers; G <inline-formula><mml:math id="M107" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Geoprecision loggers). Boreholes marked with * reached the bedrock.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">#</oasis:entry>
         <oasis:entry colname="col2">Borehole ID</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M108" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> [m]</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M109" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> [m]</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M110" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> [m a.s.l.]</oasis:entry>
         <oasis:entry colname="col7">Depth [m]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Alphubel South </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">AH1G*</oasis:entry>
         <oasis:entry colname="col3">6 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 633 226.81</oasis:entry>
         <oasis:entry colname="col5">1 100 604.12</oasis:entry>
         <oasis:entry colname="col6">3802</oasis:entry>
         <oasis:entry colname="col7">50.6*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">AH2G*</oasis:entry>
         <oasis:entry colname="col3">6 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 633 183.50</oasis:entry>
         <oasis:entry colname="col5">1 100 551.82</oasis:entry>
         <oasis:entry colname="col6">3759</oasis:entry>
         <oasis:entry colname="col7">20.3*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">AH3G*</oasis:entry>
         <oasis:entry colname="col3">6 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 633 245.17</oasis:entry>
         <oasis:entry colname="col5">1 100 634.30</oasis:entry>
         <oasis:entry colname="col6">3820</oasis:entry>
         <oasis:entry colname="col7">58.3*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">AH1TT</oasis:entry>
         <oasis:entry colname="col3">21 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 633 249.72</oasis:entry>
         <oasis:entry colname="col5">1 100 537.76</oasis:entry>
         <oasis:entry colname="col6">3775</oasis:entry>
         <oasis:entry colname="col7">15.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">AH2TT</oasis:entry>
         <oasis:entry colname="col3">21 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 633 251.63</oasis:entry>
         <oasis:entry colname="col5">1 100 564.25</oasis:entry>
         <oasis:entry colname="col6">3789</oasis:entry>
         <oasis:entry colname="col7">14.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">AH3TT</oasis:entry>
         <oasis:entry colname="col3">6 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 633 203.23</oasis:entry>
         <oasis:entry colname="col5">1 100 579.67</oasis:entry>
         <oasis:entry colname="col6">3781</oasis:entry>
         <oasis:entry colname="col7">17.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Chessjengletscher </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">CJ1G*</oasis:entry>
         <oasis:entry colname="col3">8 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 636 970.56</oasis:entry>
         <oasis:entry colname="col5">1 101 731.07</oasis:entry>
         <oasis:entry colname="col6">3031</oasis:entry>
         <oasis:entry colname="col7">38.3*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">CJ2G*</oasis:entry>
         <oasis:entry colname="col3">8 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 636 963.22</oasis:entry>
         <oasis:entry colname="col5">1 101 802.26</oasis:entry>
         <oasis:entry colname="col6">3005</oasis:entry>
         <oasis:entry colname="col7">17.0*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">CJ1TT</oasis:entry>
         <oasis:entry colname="col3">9 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 636 956.76</oasis:entry>
         <oasis:entry colname="col5">1 101 858.36</oasis:entry>
         <oasis:entry colname="col6">2983</oasis:entry>
         <oasis:entry colname="col7">11.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">CJ2TT</oasis:entry>
         <oasis:entry colname="col3">9 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 636 976.64</oasis:entry>
         <oasis:entry colname="col5">1 101 745.91</oasis:entry>
         <oasis:entry colname="col6">3027</oasis:entry>
         <oasis:entry colname="col7">13.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2">CJ3TT</oasis:entry>
         <oasis:entry colname="col3">8 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 636 969.90</oasis:entry>
         <oasis:entry colname="col5">1 101 687.21</oasis:entry>
         <oasis:entry colname="col6">3046</oasis:entry>
         <oasis:entry colname="col7">20.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2">CJ4TT</oasis:entry>
         <oasis:entry colname="col3">8 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 637 011.63</oasis:entry>
         <oasis:entry colname="col5">1 101 794.98</oasis:entry>
         <oasis:entry colname="col6">3004</oasis:entry>
         <oasis:entry colname="col7">20.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Hohsaasgletscher </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2">HS1G*</oasis:entry>
         <oasis:entry colname="col3">13 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 643 544.74</oasis:entry>
         <oasis:entry colname="col5">1 109 819.94</oasis:entry>
         <oasis:entry colname="col6">3349</oasis:entry>
         <oasis:entry colname="col7">29.0*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2">HS2G*</oasis:entry>
         <oasis:entry colname="col3">13 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 643 372.47</oasis:entry>
         <oasis:entry colname="col5">1 109 737.94</oasis:entry>
         <oasis:entry colname="col6">3278</oasis:entry>
         <oasis:entry colname="col7">21.5*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2">HS3G</oasis:entry>
         <oasis:entry colname="col3">13 August 2025</oasis:entry>
         <oasis:entry colname="col4">2 643 420.68</oasis:entry>
         <oasis:entry colname="col5">1 109 732.65</oasis:entry>
         <oasis:entry colname="col6">3292</oasis:entry>
         <oasis:entry colname="col7">21.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2">HS1TT</oasis:entry>
         <oasis:entry colname="col3">8 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 643 397.51</oasis:entry>
         <oasis:entry colname="col5">1 109 785.68</oasis:entry>
         <oasis:entry colname="col6">3284</oasis:entry>
         <oasis:entry colname="col7">15.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2">HS2TT</oasis:entry>
         <oasis:entry colname="col3">8 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 643 519.71</oasis:entry>
         <oasis:entry colname="col5">1 109 839.68</oasis:entry>
         <oasis:entry colname="col6">3337</oasis:entry>
         <oasis:entry colname="col7">15.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Glacier du Sex Rouge </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2">SR1TT</oasis:entry>
         <oasis:entry colname="col3">6 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 582 609.56</oasis:entry>
         <oasis:entry colname="col5">1 130 598.61</oasis:entry>
         <oasis:entry colname="col6">2787</oasis:entry>
         <oasis:entry colname="col7">15.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">19</oasis:entry>
         <oasis:entry colname="col2">SR2TT</oasis:entry>
         <oasis:entry colname="col3">6 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 582 586.65</oasis:entry>
         <oasis:entry colname="col5">1 130 751.59</oasis:entry>
         <oasis:entry colname="col6">2760</oasis:entry>
         <oasis:entry colname="col7">14.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Glacier de Tortin </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20</oasis:entry>
         <oasis:entry colname="col2">GT1TT</oasis:entry>
         <oasis:entry colname="col3">7 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 589 854.86</oasis:entry>
         <oasis:entry colname="col5">1 103 667.77</oasis:entry>
         <oasis:entry colname="col6">2858</oasis:entry>
         <oasis:entry colname="col7">9.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">21</oasis:entry>
         <oasis:entry colname="col2">GT2TT</oasis:entry>
         <oasis:entry colname="col3">7 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 589 986.76</oasis:entry>
         <oasis:entry colname="col5">1 103 495.13</oasis:entry>
         <oasis:entry colname="col6">2891</oasis:entry>
         <oasis:entry colname="col7">15.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7">Vadret dal Corvatsch </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">22</oasis:entry>
         <oasis:entry colname="col2">CV1TT*</oasis:entry>
         <oasis:entry colname="col3">28 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 783 252.23</oasis:entry>
         <oasis:entry colname="col5">1 143 066.66</oasis:entry>
         <oasis:entry colname="col6">3271</oasis:entry>
         <oasis:entry colname="col7">7.0*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">23</oasis:entry>
         <oasis:entry colname="col2">CV2TT*</oasis:entry>
         <oasis:entry colname="col3">28 August 2024</oasis:entry>
         <oasis:entry colname="col4">2 783 141.08</oasis:entry>
         <oasis:entry colname="col5">1 143 188.93</oasis:entry>
         <oasis:entry colname="col6">3304</oasis:entry>
         <oasis:entry colname="col7">9.3*</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e3159">The source code used to process our data is publicly available on GitHub under <uri>https://github.com/sdrocer/polythermal_swiss_glaciers</uri> <xref ref-type="bibr" rid="bib1.bibx3" id="paren.80"/> and archived on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22834279" ext-link-type="DOI">10.5281/zenodo.22834279</ext-link> <xref ref-type="bibr" rid="bib1.bibx4" id="paren.81"/>. The borehole thermometry data has been added to the Global Englacial Temperature database (glenglat) available on GitHub under <uri>https://github.com/mjacqu/glenglat</uri>  <xref ref-type="bibr" rid="bib1.bibx45" id="paren.82"/>. The ground based ground-penetrating radar data presented in this study are available in the ETH Research Collection at <ext-link xlink:href="https://doi.org/10.3929/ethz-c-000799146" ext-link-type="DOI">10.3929/ethz-c-000799146</ext-link> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.83"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e3189">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/tc-20-5453-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/tc-20-5453-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3198">Janosch Beer: Conceptualization, Data curation, Formal analysis, Investigation, Project administration, Visualization, Writing – original draft, Writing – review and editing. Mylène Jacquemart: Conceptualization, Supervision, Writing – review and editing. Matthias Huss: Conceptualization, Software (firn cover reconstruction), Supervision, Writing – review and editing. Ilaria Santin: Investigation, Data curation (ground-based GPR post-processing), Writing – review and editing. Gabriela Clara Racz: Investigation, Methodology, Data curation (UAV-based GPR survey and post-processing, Hohsaas), Writing – review and editing. Christophe Ogier: Investigation, Data curation (ground-based GPR post-processing, Alphubel), Writing – review and editing. Saskia Gindraux: Investigation, Financing, Writing – review and editing. Leo Hösli: Investigation, Writing – review and editing. Raphael Moser: Investigation. James Irving: Conceptualization, Methodology, Investigation (UAV-based GPR), Writing – review and editing. Mauro Fischer: Resources (historical englacial temperature data, Sex Rouge), Investigation, Writing – review and editing. Daniel Farinotti: Conceptualization, Investigation, Financing, Supervision, Writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3204">At least one of the (co-)authors is a member of the editorial board of <italic>The Cryosphere</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3214">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. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e3220">This study draws on an extensive series of field campaigns that would not have been possible without the dedication, support, and hard work of all those who contributed. The first author made use of Claude (Anthropic) as an AI-assisted tool to support language editing and code development. All scientific interpretations, analyses, and conclusions are the sole responsibility of the authors. The first author would like to thank Dominika Teluchová for her personal support throughout this work.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3225">This study was primarily supported by internal research funds of ETH Zurich and WSL. Fieldwork was additionally supported by the Section of Natural Hazards of the Canton of Valais, Switzerland.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3231">This paper was edited by Caroline Clason and reviewed by Marcus Gastaldello and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

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