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  <front>
    <journal-meta><journal-id journal-id-type="publisher">HESS</journal-id><journal-title-group>
    <journal-title>Hydrology and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1607-7938</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-30-5245-2026</article-id><title-group><article-title>Year-round measurements of evaporation from northern latitude wetlands in Norway</article-title><alt-title>Year-round measurements of evaporation from northern latitude wetlands in Norway</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Vatne</surname><given-names>Astrid</given-names></name>
          <email>astrid.vatne@geo.uio.no</email>
        <ext-link>https://orcid.org/0000-0001-7257-6170</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pirk</surname><given-names>Norbert</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8137-2329</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Engeland</surname><given-names>Kolbjørn</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Vollsnes</surname><given-names>Ane V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4903-4116</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tallaksen</surname><given-names>Lena M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8480-7842</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geosciences, University of Oslo, Oslo, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Norwegian Water Resources and Energy Directorate, Oslo, Norway</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Biosciences, University of Oslo, Oslo, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Astrid Vatne (astrid.vatne@geo.uio.no)</corresp></author-notes><pub-date><day>19</day><month>August</month><year>2026</year></pub-date>
      
      <volume>30</volume>
      <issue>16</issue>
      <fpage>5245</fpage><lpage>5279</lpage>
      <history>
        <date date-type="received"><day>10</day><month>March</month><year>2025</year></date>
           <date date-type="rev-request"><day>10</day><month>April</month><year>2025</year></date>
           <date date-type="rev-recd"><day>6</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>20</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Astrid Vatne 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://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026.html">This article is available from https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e132">As the atmosphere warms, atmospheric evaporative demand is expected to increase across many high-latitude ecosystems, while the duration of seasonal snow cover is projected to change. In Norway, a typically moisture-rich region, improved understanding of the controls on evaporation is needed to assess how these changes may affect ecosystem hydrology. In this study, we used year-round evaporation estimates from four eddy-covariance wetland sites in Norway to quantify evaporation and identify its main controls. To estimate monthly, seasonal, and annual evaporation, eddy-covariance data were gap-filled using a random forest model. The sites cover a latitudinal gradient from 60 to 78° N, a precipitation gradient from 218 to 968 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> per year and a gradient in mean temperature from <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula> to 2.7 °C. To identify evaporation controls, we performed a factor analysis on observed time series in the snow-free and snow-covered season, separately. In addition, we compared the observed evaporation with the results of a Penman-Monteith model. We found that ecosystem evaporation was mainly controlled by atmospheric evaporative demand, both in the snow-free and the snow-covered season, whereas soil moisture likely never decreased to a level where it restricted evaporation. However, the sensitivity of the Bowen ratio to the vapour pressure deficit varied between sites, showing a decrease in the Bowen ratio beyond a vapour pressure deficit of 1 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> at sites with a larger cover of open water and non-vascular vegetation compared to a site with a higher cover of vascular plants. Annual evaporation ranged from 80 to 208 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, equivalent to 9 % to 30 % of the total precipitation. In the warm season, evaporation was typically around 50 % of the seasonal precipitation, reaching a maximum of 72 %. Sites and years with long-duration snow-cover had lower annual evaporation. Compared to other northern latitude sites in the FLUXNET2015 data set, evaporation was lower than expected from the mean temperature of the warm season. Our results show that evaporation is an important part of the northern latitude water balance, especially during the warm season and in regions with low precipitation. Furthermore, our results indicate that earlier snow-cover melt-out and increased vapour pressure deficit have the potential to increase annual evaporation.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Norges Forskningsråd</funding-source>
<award-id>301552 (Spot-On)</award-id>
<award-id>294948 (EMERALD)</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Research Council</funding-source>
<award-id>101116083 (ACTIVATE)</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="d2e178">There is a high demand for observations of evaporation in fast-warming northern latitude regions, which are characterised by a seasonal snow cover. Norway is situated in a typically moisture rich region with numerous lakes and wetlands. Wetlands cover about 8.9 % of the area in Norway <xref ref-type="bibr" rid="bib1.bibx5" id="paren.1"/>, and provide important ecosystem services such as carbon storage and biodiversity. Northern wetlands constitute a large carbon storage, and have acted as a carbon sink during the Holocene, however there is uncertainty related to the future carbon accumulation and decay <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx1" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>. Adequate moisture availability is crucial for wetland functioning, and assessment of wetland water fluxes is vital to understand the wetland-climate feedbacks <xref ref-type="bibr" rid="bib1.bibx57" id="paren.3"/>.</p>
      <p id="d2e192">In northern latitude regions, evaporation is often energy-limited <xref ref-type="bibr" rid="bib1.bibx26" id="paren.4"/>, although it can be water-limited in drier areas, such as in parts of central-western <xref ref-type="bibr" rid="bib1.bibx58" id="paren.5"/> and north-western Canada <xref ref-type="bibr" rid="bib1.bibx48" id="paren.6"/>. Evaporation is traditionally considered a minor component of the annual water balance in Norway <xref ref-type="bibr" rid="bib1.bibx12" id="paren.7"/>. However, it is expected that the atmospheric demand for water will increase as vapour pressure deficit increases <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx15" id="paren.8"/> and snow cover duration  declines in many areas <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx27" id="paren.9"/>. The term “atmospheric evaporative demand” is used to quantify the combined effect of the available energy for evaporation and the ability of the atmosphere to receive water vapour, and is typically used interchangeably with “potential evaporation” <xref ref-type="bibr" rid="bib1.bibx38" id="paren.10"/>. The atmospheric demand typically increases with increasing net radiation, vapour pressure deficit and wind speed <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx21" id="paren.11"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e222">By increasing the evaporative demand, vapour pressure deficit influences the partitioning of available energy between sensible and latent heat fluxes (evaporation), a balance commonly expressed through the Bowen ratio, defined as the ratio of sensible to latent heat flux. Increased vapour pressure deficit enhances the evaporative demand and tends to lower the Bowen ratio when water is available, whereas water-limited conditions can increase the Bowen ratio. <xref ref-type="bibr" rid="bib1.bibx23" id="text.12"/> found that the Bowen ratio remained below 1 for vapour pressure deficit exceeding 0.3 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>  in wet soils of two drained thaw-lake basins on the Arctic Coastal Plain of Alaska, whereas drier soils showed higher Bowen ratios under comparable vapour pressure deficit. <xref ref-type="bibr" rid="bib1.bibx60" id="text.13"/> found higher rates of Bowen ratio with lower soil water content in a high-arctic permafrost site on Svalbard. Further, the surface ability to transport water can influence the relation of vapour pressure deficit and Bowen ratio <xref ref-type="bibr" rid="bib1.bibx17" id="paren.14"/>.</p>
      <p id="d2e242">Snow cover influences evaporative demand by reducing net radiation through its high albedo compared to snow-free surfaces, and by diverting available energy toward snowmelt rather than surface heating. <xref ref-type="bibr" rid="bib1.bibx42" id="text.15"/> found that annual total evaporation from an alpine tundra site decreased by 50 % in a year with a delayed snow-cover melt-out date of one-month.</p>
      <p id="d2e249">To better understand how northern latitude ecosystems may respond to a future longer snow-free season and increased evaporative demand, we need more knowledge on the magnitude and controls of evaporation in these ecosystems. Observations of evaporation are vital, both to increase process understanding and to constrain models. Existing hydrological models show large spread in evaporation estimates, ranging from 178 to 500 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> annually for mainland Norway <xref ref-type="bibr" rid="bib1.bibx12" id="paren.16"/>. Routine observations of evaporation in Norway are lacking, and only a few experimental eddy-covariance sites are currently in place. Although evaporation data from eddy-covariance measurements are available in the wider northern latitude region through networks such as FLUXNET <xref ref-type="bibr" rid="bib1.bibx37" id="paren.17"/>, previous studies have often focused on forested areas, including sites in Finland and Sweden. Due to the large climatic gradients ranging from moist and mild climate in the coastal west to dry and cold climate in the continental east, it is uncertain if existing observations are representative of ecosystems in the larger region. In addition, emphasis has been on carbon fluxes rather than water fluxes <xref ref-type="bibr" rid="bib1.bibx2" id="paren.18"/>. Apart from forest, land cover types such as wetland and tundra are widespread in the region, and our knowledge on the magnitude and dynamics of evaporation in these ecosystems is highly uncertain.</p>
      <p id="d2e269">This study explores how evaporation and its main environmental controls vary with climatic gradients of temperature and precipitation at northern high latitude sites. We use new observations from three wetland and tundra sites in mainland Norway, a previously poorly represented region <xref ref-type="bibr" rid="bib1.bibx36" id="paren.19"/>. We also include a site on Svalbard to cover a larger climatic gradient. We aim to quantify evaporation at sub-daily to annual time scales. Furthermore, we explore to what extent available energy controls evaporation, and what the role of other factors, such as vapour pressure deficit, soil moisture and snow cover, play in controlling evaporation rates. Our main objective is to quantify evaporation from northern latitude wetlands in Norway and identify its main climatic controls. More specifically, we look at (1) controls on evaporation at an hourly timescale, (2) magnitude and seasonality of daily and monthly evaporation rates and (3) annual evaporation and interannual variability across climatic gradients. To place the new sites in a regional context, we compare the annual evaporation of  our sites to that of existing northern latitude sites in the FLUXNET2015-dataset.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study sites</title>
      <p id="d2e290">The four study sites are Hisåsen, Finse and Iškoras on mainland Norway and Adventdalen on Svalbard. The sites are located along gradients in latitude, temperature and precipitation, covering a latitudinal gradient from 60–78° N, a precipitation gradient from 218–968 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> per year and a gradient in mean temperature from -3.9–2.7 °C (see Fig. <xref ref-type="fig" rid="F1"/> and Table <xref ref-type="table" rid="T1"/>).  Compared to northern latitude (above 60° N) sites available in the FLUXNET2015 dataset <xref ref-type="bibr" rid="bib1.bibx37" id="paren.20"/>, our study sites span approximately the full range of latitudes and annual precipitation rates (including one site with higher precipitation), whereas they are somewhat in the mid-range with respect to mean annual temperature (Fig. <xref ref-type="fig" rid="F1"/>b). The ecosystem types at the three mainland sites have been classified according to the “Nature in Norway” ecosystem and landscape diversity framework <xref ref-type="bibr" rid="bib1.bibx16" id="paren.21"/>. Photos of the study sites are available in Fig. <xref ref-type="fig" rid="F2"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e318">Location <bold>(a)</bold> and climatic context <bold>(b)</bold> of the four sites included in the study compared to selected northern latitude sites from FLUXNET2015 <xref ref-type="bibr" rid="bib1.bibx37" id="paren.22"/>. Finse in blue, Hisåsen in green, Iškoras in orange, Adventdalen in red and FLUXNET sites in greyscale. The symbols of the FLUXNET sites indicates if the site is a wetland (black), evergreen need leaf forest (dark grey) or other ecosystem types (light grey). The latter category includes one site in each of the following ecosystem types: open shrubland, cropland, grassland, and snow/ice. Only FLUXNET sites located above 60 °N latitude and with Creative Commons (CC-BY-4.0) licence were included in the comparison (see a list of the included sites in Table <xref ref-type="table" rid="TE1"/>). The biome map in panel <bold>(a)</bold> is from <xref ref-type="bibr" rid="bib1.bibx10" id="text.23"/>.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f01.png"/>

        </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e348">Site information, mean annual precipitation (MAP), and mean annual air temperature (MAAT) for the climate reference period 1991–2020 (based on data from The Norwegian Meteorological Institute).</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="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Site</oasis:entry>
         <oasis:entry colname="col2">Latitude (° N)</oasis:entry>
         <oasis:entry colname="col3">Longitude (° E)</oasis:entry>
         <oasis:entry colname="col4">Altitude (m a.s.l.)</oasis:entry>
         <oasis:entry colname="col5">MAP (<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">MAAT (°C)</oasis:entry>
         <oasis:entry colname="col7" align="left">Measurement period</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Hisåsen</oasis:entry>
         <oasis:entry colname="col2">61.11</oasis:entry>
         <oasis:entry colname="col3">12.25</oasis:entry>
         <oasis:entry colname="col4">640</oasis:entry>
         <oasis:entry colname="col5">857</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7" align="left">1 Jan 2020–31 Dec 2022</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Finse</oasis:entry>
         <oasis:entry colname="col2">60.59</oasis:entry>
         <oasis:entry colname="col3">7.53</oasis:entry>
         <oasis:entry colname="col4">1210</oasis:entry>
         <oasis:entry colname="col5">968</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left">1 Jan 2019–31 Dec 2022</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Iškoras</oasis:entry>
         <oasis:entry colname="col2">69.34</oasis:entry>
         <oasis:entry colname="col3">25.30</oasis:entry>
         <oasis:entry colname="col4">380</oasis:entry>
         <oasis:entry colname="col5">417</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left">24 Mar 2019–31 Dec 2021</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Adventdalen</oasis:entry>
         <oasis:entry colname="col2">78.19</oasis:entry>
         <oasis:entry colname="col3">15.92</oasis:entry>
         <oasis:entry colname="col4">14</oasis:entry>
         <oasis:entry colname="col5">218</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7" align="left">1 Jan–31 Dec 2013 and 1 Jan 2015–31 Dec 2016</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e537">Photos from <bold>(a)</bold> Hisåsen 21 June 2021, <bold>(b)</bold> Finse 9 September 2020, <bold>(c)</bold> Iškoras 27 July 2020 and <bold>(d)</bold> Adventdalen 19 August 2013.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f02.jpg"/>

        </fig>

      <p id="d2e558">The <italic>Hisåsen</italic> site is a boreal peatland site, located south of the hill Hisåsen in the Regnåsen-Hisåsen nature reserve in eastern Norway. The area is undulating, slightly sloping towards north and covered by forest and peatlands. The climate is continental subarctic (Dfc), according to Köppen's classification, with a mean annual temperature of 2.7 °C and a mean annual precipitation of 857 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. The measurement tower is located on a drained peatland with organic soils surrounded by forest on glacial till <xref ref-type="bibr" rid="bib1.bibx32" id="paren.24"/>. The footprint ecosystem types are predominantly strongly lime-poor fen and lime-poor drained fen, according to the Nature in Norway system (maps are publicly available at <uri>http://github.com/geco-nhm/NiN_Hisaasen</uri>, last access: 28 November 2023). The vegetation is low and dominated by sedges, mosses and shrubs, such as <italic>Salix herbacea</italic> and <italic>Empetrum nigrum</italic>. A few trees, such as <italic>Pinus sylvestris</italic> and <italic>Betula pubescens</italic> are present.</p>
      <p id="d2e591"><italic>Finse</italic> is a sub-alpine tundra and wetland site, located in the valley Finsedalen north of the Hardangerjøkulen glacier. The valley runs towards east-southeast, and wind directions at the site are controlled by the valley. The climate is tundra (ET), with mean annual temperature of <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> °C and mean annual precipitation of 967 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. The climate has an oceanic influence, located approximately 140 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the coastline in the west and exposed to the mild and moisture-baring westerlies. The instrument tower sits on a ridge running southwest-northeast. Southeast, the ridge slopes down towards the river Ustekveikja draining the lake Finsevatnet, located approximately 1 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> east of the tower. The footprint ecosystem types are predominantly lime-poor open fens, arctic-alpine heath and lee side as well as snowbeds <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx16" id="paren.25"/>. The soil is thin and consisting of discontinuous glacial till with thickness less than 0.5 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and glacifluvial deposits <xref ref-type="bibr" rid="bib1.bibx32" id="paren.26"/>. The vegetation is dominated by shrubs, such as <italic>Salix herbacea</italic> and <italic>Empetrum nigrum</italic>, and mosses and lichens in the drier areas and sedges and mosses in wetter areas.</p>
      <p id="d2e651"><italic>Iškoras</italic> is a palsa mire site located north of the mountain Iškoras in the plateau area of Finnmarksvidda in northern Norway. The climate is continental subarctic (Dfc), with a mean annual temperature of <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> °C and a mean annual precipitation of 417 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. The tower is located on a  peat plateau surrounded by mires and ponds <xref ref-type="bibr" rid="bib1.bibx24" id="paren.27"/>, with partly organic soil and partly glacial till <xref ref-type="bibr" rid="bib1.bibx32" id="paren.28"/>. Shrubs and lichens dominate dry, elevated palsas, whereas sedges and mosses dominate wetter areas near unvegetated ponds <xref ref-type="bibr" rid="bib1.bibx43" id="paren.29"/>. The shrubs are species such as <italic>Betula nana</italic> and <italic>Empetrum nigrum</italic>. Bog and open fen are the dominating ecosystem types (<xref ref-type="bibr" rid="bib1.bibx16" id="altparen.30"/>; Anders Bryn, personal communication, 2023). The peat plateau lies north of the mountain range Iškoras, and the terrain slopes gently towards north.</p>
      <p id="d2e693"><italic>Adventdalen</italic> (NO-Adv) is an Arctic site featuring polygonal tundra, located in the valley Adventdalen on Spitsbergen, Svalbard. The climate is tundra (ET), with a mean annual temperature of <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula> °C and a mean annual precipitation of  218 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. The climate has an oceanic influence, located approximately 6 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the coast. The tower is located on a river terrace on the flat part of a large alluvial fan, and the soil consists of a few decimetres of fine-grained eolian deposits on top of coarser-grained alluvial deposits <xref ref-type="bibr" rid="bib1.bibx40" id="paren.31"/>. The vegetation is very low, dominated by dwarf shrubs like <italic>Salix polaris</italic> at dry places and mosses and sedges in wet depressions <xref ref-type="bibr" rid="bib1.bibx41" id="paren.32"/>.</p>
      <p id="d2e734">For each site, the 3–4 years with the most complete data collection was chosen as the site measurement period. Thus, the measurement period varies slightly between sites (Table <xref ref-type="table" rid="T1"/>). Figure <xref ref-type="fig" rid="F3"/> shows monthly mean temperature and cumulative precipitation at the nearest climate station of The Norwegian Meteorological Institute (MET Norway) for the reference period (1990–2020) and for each year in the respective measurement periods. Precipitation is relatively evenly distributed over the year at all sites, with the wettest month having a mean precipitation of 2.7 to 3.6 times the precipitation of the driest month. The wettest month at each site occurs in summer or early autumn (July at Iškoras, August at Hisåsen and September at Finse and Adventdalen). The driest month occurs in spring or early summer (March at Hisåsen and Iškoras, April at Finse and May at Adventdalen). Monthly mean temperature typically peaks in July and is below zero from November–March at Hisåsen, October–April at Finse and Iškoras and October–May at Adventdalen.</p>
      <p id="d2e742">Overall, the measurement years were warmer than the reference period at all sites (Fig. <xref ref-type="fig" rid="F3"/>). At Hisåsen, the annual mean temperature was warmer than normal for all years (0.1–0.2 °C), with 2020 being the warmest year. Annual precipitation was both lower and higher than normal (ranging from 88 %–115 % of the long term mean) with 2020 being the wettest year. A similar pattern was found at Finse, with all years being warmer than normal (0.1–1.0 °C), and annual precipitation both higher and lower than normal (ranging from 78 %–133 % of the long term mean), with 2020 being the wettest year. Iškoras was the only site where annual temperature was both higher and lower than normal (varying from 0.4 °C lower in 2019 and 2021, to 0.7 °C higher in 2020). However, all years had temperatures 0.2–4.6 °C above normal in the warm season (May–September). Annual precipitation ranged from 101 %–118 % of the long term mean, with 2019 and 2020 being the wettest years. At Adventdalen, all years were warmer (0.4–3.8 °C) and wetter (114 %–143 %), than the long term mean, with 2016 being the warmest and wettest year as well as the warmest ever recorded at the station. Annual precipitation ranged from 114 % of the long term mean in 2013 to 143 % in 2016. The temperature deviations were typically larger in autumn and winter (September–March) than in spring and summer (April–August). On average, 40 %–44 % of the yearly precipitation fell as snow at Finse, Iškoras and Adventdalen, while 11 % fell as sleet and  45 %–48 % fell as snow. At Hisåsen, the distribution was 20 % snow, 13 % sleet and 67 % rain (Table <xref ref-type="table" rid="TB1"/>).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e751">Monthly mean temperature (upper row) and cumulative precipitation (lower row) in climate reference period (black lines) and measurement periods (coloured lines) at each site's nearest MET Norway weather station.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data sources and processing</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Eddy covariance data</title>
      <p id="d2e775">To measure ecosystem evaporation, we used the eddy covariance method <xref ref-type="bibr" rid="bib1.bibx6" id="paren.33"><named-content content-type="pre">e.g.,</named-content></xref>. At all sites, we measured water vapour mixing ratio using an enclosed gas analyser (Li-Cor LI7200). Three-dimensional wind speed measurements were made by sonic anemometer (Campbell Sci. CSAT3 at Finse and Iškoras, Gill HS-50 at Hisåsen, and a Metek USA-1 at Adventdalen). We processed the raw eddy covariance data in the software EddyPro version 6.2.0, using a double rotation tilt correction of the anemometer, block average method to extract turbulent fluctuations and constant time lag between wind and gas concentration based on pump flow rate. We applied spectral corrections in the high frequency range according to <xref ref-type="bibr" rid="bib1.bibx29" id="text.34"/>, and in the low frequency range according to <xref ref-type="bibr" rid="bib1.bibx28" id="text.35"/>. The resulting time series of half-hourly evaporation flux was filtered according to the 0–2 flagging scheme based on tests proposed in <xref ref-type="bibr" rid="bib1.bibx14" id="text.36"/>, discarding all observations with quality flags <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Additionally, the time series of fluxes and ancillary variables measured by the eddy covariance system (friction velocity and wind speed) were filtered based on a statistical screening of the raw data, using tests from <xref ref-type="bibr" rid="bib1.bibx56" id="text.37"/> with the default test thresholds in Eddypro 6.2.0 (hard-flags only).</p>
      <p id="d2e806">To estimate daily, monthly and annual evaporation, we filled the gaps in evaporation time series by building a random forest regression model (Python package Sklearn) for each site, using gap-filled ancillary data as predictors (Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T4"/>). The observed evaporation was averaged to hourly mean values. Before building the regression, the dataset was split into 75 % training and 25 % test data. The root-mean-square error (RSME) of test data predictions varied from 0.011 to 0.015 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</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>. A time series plot of observed and gap-filled evaporation is available in Fig. <xref ref-type="fig" rid="FC1"/>, and the percentage of gap-filled and observed data for each site and each month is available in Table <xref ref-type="table" rid="TC1"/>.</p>
      <p id="d2e834">Due to the large variation in surface cover in the footprint area of the Finse site, we grouped the data based on the dominating wind direction (east and west) and gap-filled the two wind direction sectors separately (as done in <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.38"/>). Only data from the western sector were included in this study, as the western surface cover is more comparable to the other sites in the study.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Measured ancillary local data</title>
      <p id="d2e848">We used locally measured meteorological and surface variables to gap-fill the evaporation time series and to identify controls on evaporation on a sub-daily timescale (hourly values). At each site, measurements of local meteorological and surface variables (Table <xref ref-type="table" rid="T2"/>) were sampled with 1 min time resolution. We discarded periods of data with sensor error through visual inspection. After filtering, the values were aggregated to hourly means. Gaps in the time series of meteorological variables (air temperature, vapour pressure deficit, wind speed, incoming radiation and atmospheric pressure) were filled using the bias-corrected corresponding ERA5 Land variable <xref ref-type="bibr" rid="bib1.bibx31" id="paren.39"/>, downloaded from the Climate Data Store (CDS, accessed on 22 February 2023) of the Copernicus Climate Change Service (C3S). We bias-corrected the ERA5 Land variables by using a simple linear regression with the corresponding local variable, built by using either data from the whole year or, when data coverage for each season was sufficient, by building seasonal linear regressions for winter (December–February), spring (March–May), summer (June–August) and autumn (September–November) separately. Vapour pressure deficit was derived from relative humidity and temperature. We created a gap-free time series of hourly precipitation using data from the nearest MET station (Table <xref ref-type="table" rid="TA1"/>), gap-filled with ERA5 Land precipitation. The hourly time series of precipitation was used to derive a new variable called “time since rain” (as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS3"/>), that we used as a proxy of soil moisture availability, in addition to point measurements of soil water content where available. The time since rain variable was considered to be more representative of a larger area than point measurements. To calculate monthly and annual evaporation ratio (evaporation as fraction of precipitation) we used monthly and annual precipitation from nearest MET Norway station (Table <xref ref-type="table" rid="TA1"/>).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e865">Measured ancillary data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Abbreviation</oasis:entry>
         <oasis:entry colname="col3">Source</oasis:entry>
         <oasis:entry colname="col4">Gap filled by</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Air temperature</oasis:entry>
         <oasis:entry colname="col2">TA</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land air temperature</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Air relative humidity</oasis:entry>
         <oasis:entry colname="col2">RH</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land air relative humidity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Air pressure</oasis:entry>
         <oasis:entry colname="col2">PA</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land air pressure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind speed</oasis:entry>
         <oasis:entry colname="col2">WS</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land wind speed</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Precipitation</oasis:entry>
         <oasis:entry colname="col2">P</oasis:entry>
         <oasis:entry colname="col3">Nearest MET station<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">ERA5 Land precipitation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shortwave incoming radiation</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SW</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land  incoming shortwave radiation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longwave incoming radiation</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">LW</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Bias corrected ERA5 Land incoming longwave radiation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shortwave outgoing radiation</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SW</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longwave outgoing radiation</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">LW</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil temperature</oasis:entry>
         <oasis:entry colname="col2">TS</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil heat flux</oasis:entry>
         <oasis:entry colname="col2">SHF</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil volumetric water content<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2">SWC</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Water table depth<sup>c</sup></oasis:entry>
         <oasis:entry colname="col2">WTD</oasis:entry>
         <oasis:entry colname="col3">Measured locally</oasis:entry>
         <oasis:entry colname="col4">Estimates from random forest regression model</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e868"><sup>a</sup> At sites Hisåsen and Iškoras, precipitation is measured locally in the snow-free season and from the nearest MET Norway station in the snow-covered season. <sup>b</sup> Not measured at Adventdalen. <sup>c</sup> Only measured at Hisåsen.</p></table-wrap-foot></table-wrap>

      <p id="d2e1189">The soil heat flux (SHF in Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>), was estimated using measurements from soil heat flux plates (Hukseflux), available at each site. Further details about measured ancillary local data can be found in <xref ref-type="bibr" rid="bib1.bibx3" id="text.40"/> (Hisåsen), <xref ref-type="bibr" rid="bib1.bibx42" id="text.41"/> (Finse), <xref ref-type="bibr" rid="bib1.bibx43" id="text.42"/> (Iškoras) and <xref ref-type="bibr" rid="bib1.bibx41" id="text.43"/> (Adventdalen). The measurements of net shortwave and long wave radiation, soil heat flux and sensible and latent heat from the eddy covariance measurements were used to calculate the degree of energy balance closure at each site (Table <xref ref-type="table" rid="T3"/>). The degree of energy balance closure was estimated from the slope of the linear regression of the sum of latent and sensible heat against available energy (difference between net radiation and soil heat flux). Energy balance closure was calculated both for observations in the snow-free season only and for the full year (Figs. <xref ref-type="fig" rid="FF1"/> and <xref ref-type="fig" rid="FF2"/>).</p>

<table-wrap id="T3"><label>Table 3</label><caption><p id="d2e1217">Energy balance closure at each site for observations in the snow-free season only (first row) and for the full year (second row) See also Figs. <xref ref-type="fig" rid="FF1"/> and <xref ref-type="fig" rid="FF2"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hisåsen</oasis:entry>
         <oasis:entry colname="col3">Finse</oasis:entry>
         <oasis:entry colname="col4">Iškoras</oasis:entry>
         <oasis:entry colname="col5">Adventdalen</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Snow-free season</oasis:entry>
         <oasis:entry colname="col2">0.70</oasis:entry>
         <oasis:entry colname="col3">0.47</oasis:entry>
         <oasis:entry colname="col4">0.49</oasis:entry>
         <oasis:entry colname="col5">0.51</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Full year</oasis:entry>
         <oasis:entry colname="col2">0.70</oasis:entry>
         <oasis:entry colname="col3">0.39</oasis:entry>
         <oasis:entry colname="col4">0.44</oasis:entry>
         <oasis:entry colname="col5">0.52</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1299">We gap-filled ancillary surface variables (outgoing radiation, soil temperature, soil water content and soil heat flux) by using predictions from a random forest regression (Python package Sklearn). A random forest regression was built for each variable, using gap-filled meteorological variables and derived variables (Table <xref ref-type="table" rid="T4"/>) time since rain, growing degree days and snow cover as predictors.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Derived ancillary data</title>
      <p id="d2e1312">To provide additional information for the gap-filling of surface variables and evaporation fluxes, we derived variables representing snow cover, soil moisture availability (time since rain) and phenology (growing degree days). Time since rain was calculated from the gap-filled time series of hourly precipitation. If hourly precipitation exceeded 0.1 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, we defined it as a rain event. For each time step, we then calculated hours passed since the last rain event. In the snow-covered season, we set time since rain to zero. To calculate growing degree day, we used the gap-filled time series of hourly temperature. For each year, growing degree day was then calculated as

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M36" display="block"><mml:mrow><mml:msub><mml:mtext>GDD</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>i</mml:mi></mml:munderover><mml:mo movablelimits="false">max⁡</mml:mo><mml:mspace linebreak="nobreak" width="-0.125em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi>d</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi>d</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are daily maximum and minimum temperatures of day <inline-formula><mml:math id="M39" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, respectively.</p>
      <p id="d2e1422">The ground surrounding the towers, approximately 1 <inline-formula><mml:math id="M40" 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>, was classified as either (i) snow-free, (ii) partly snow-covered or (iii) fully snow-covered, by visually inspecting satellite images (Sentinel-2, natural colour, accessed through Copernicus Browser; <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.44"/>) during spring and autumn each year for each station. The start/end of the snow-free season was set to the date of the first/last available image of snow-free ground. Similarly, the start/end of the snow-covered season was set to the date of the first/last image with a full snow cover that lasted through the winter. The period in between was considered as a shoulder season, with either partly snow-covered ground or a snow cover lasting only for a short while. Controls in the snow-free season were analysed by masking data from days when the ground was either fully or partly snow-covered.</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e1442">Derived ancillary data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Abbreviation</oasis:entry>
         <oasis:entry colname="col3">Source</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Vapour pressure deficit of air</oasis:entry>
         <oasis:entry colname="col2">VPD</oasis:entry>
         <oasis:entry colname="col3">Derived from TA and RH</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface albedo</oasis:entry>
         <oasis:entry colname="col2">albedo</oasis:entry>
         <oasis:entry colname="col3">Derived from SW<sub>in</sub> and SW<sub>out</sub></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Time since rain</oasis:entry>
         <oasis:entry colname="col2">TSR</oasis:entry>
         <oasis:entry colname="col3">Derived from P</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Growing degree day</oasis:entry>
         <oasis:entry colname="col2">GDD</oasis:entry>
         <oasis:entry colname="col3">Derived from TA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Snow-free season</oasis:entry>
         <oasis:entry colname="col2">snow-free</oasis:entry>
         <oasis:entry colname="col3">Determined visually from Sentinel 2 images</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shoulder season</oasis:entry>
         <oasis:entry colname="col2">shoulder</oasis:entry>
         <oasis:entry colname="col3">Determined visually from Sentinel 2 images</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Available energy<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Derived from SW<sub>in</sub>, SW<sub>out</sub>, LW<sub>in</sub>, LW<sub>out</sub>, and SHF.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1445"><sup>∗</sup> Used as forcing for Penman-Monteith equation (described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>). Not included in gap-filling or factor analysis.</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Identifying controls on evaporation</title>
      <p id="d2e1655">To study the controls on evaporation on a sub-daily timescale, we used hourly observations of evaporation from the eddy covariance data. Only observed data were used in this part of the study (i.e. gap-filled values were not included). We first calculated Pearson correlation coefficients between hourly evaporation and local meteorological and surface variables for the snow-free and snow-covered season separately, and tested whether the correlation coefficients were significant at significance levels <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>. Available energy (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula>) is included in the analysis of correlations as it is a forcing variable in the Penman-Monteith equation (described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>), but is not included as a predictor variable in the gap-filling regression model or included in the factor analysis. To avoid spurious predictor importances due to the large degree of covariance between the controls of evaporation, we performed a Factor analysis (similar to the analysis in <xref ref-type="bibr" rid="bib1.bibx53" id="text.45"/> and <xref ref-type="bibr" rid="bib1.bibx52" id="text.46"/>) to group variables with a large degree of common variance. To evaluate how the partitioning between sensible and latent heat flux changed with atmospheric and surface controls, we calculated mean Bowen ratio, i.e. the ratio of sensible to latent heat flux, for bins of vapour pressure deficit and soil water content. Finally, we modelled hourly evaporation using the Penman-Monteith equation to test how a widely used model is able to capture the sensitivity of evaporation to climatic and surface controls. We focus on controls in the snow-free season, as 68 % to 86 % of the annual evaporation occurred in the snow-free season.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Factor analysis</title>
      <p id="d2e1725">To group variables with common variability pattern, and identify control variables with a high degree of common variance as evaporation, we performed an exploratory factor analysis using the Python package “Factor Analyzer”. The factor analysis groups the observed variables into underlying unobserved variables called factors. Each factor explains a certain variance in the dataset of observed variables, with the first factor explaining the most. The result of the analysis can be interpreted by the observed variable's factor loading, i.e. the correlation coefficient between a factor and an observed variable. Observed variables with a high degree of common variance will load high on the same factor. For each site and each season (snow-free and snow-covered), we first evaluated the suitability of the dataset for factor analysis using the Kaiser-Meyer-Olkin (KMO) criterion <xref ref-type="bibr" rid="bib1.bibx9" id="paren.47"/>. To exclude data unacceptable for factor analysis,  the analysis was performed only if the dataset KMO-value exceeded 0.5 <xref ref-type="bibr" rid="bib1.bibx19" id="paren.48"/>. Most sites and seasons had KMO-values <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="TD1"/>). The number of factors was based on the Kaiser criterion, with an eigenvalue of 1 as threshold. For the final factor extraction, we used “Varimax” orthogonal rotation, which seeks to minimize the number of variables that have high loading on each factor. We specifically looked at variables with a high degree of loading on the same factor as evaporation.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Penman-Monteith Estimates</title>
      <p id="d2e1754">Hourly evaporation in the snow-free season was modelled from the Penman-Monteith equation <xref ref-type="bibr" rid="bib1.bibx30" id="paren.49"/> as:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M55" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mtext>VPD</mml:mtext></mml:mrow><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M56" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> is evaporation rate in <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass density of water in <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the latent heat of vaporisation in <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula> is available energy in <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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>, <inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is the psychrometric constant in <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> is the slope of the saturation vapour pressure versus temperature curve in <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass density of dry air in <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat of air in <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, VPD is air vapour pressure deficit in <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pa</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is surface conductance and <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is aerodynamic conductance, the latter two in <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e2133">As forcing for the Penman-Monteith equation, we used the gap-filled ancillary data (Table <xref ref-type="table" rid="T2"/>). Available energy was estimated as the difference between net radiation and the soil heat flux, i.e. as:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M76" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">SW</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">SW</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">LW</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">LW</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">SHF</mml:mi></mml:mrow></mml:math></disp-formula>

            Aerodynamic conductance was estimated from average wind speed, WS, in <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M78" display="block"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mtext>WS</mml:mtext><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">6.25</mml:mn><mml:mi>log⁡</mml:mi><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M79" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> is wind speed measurement height and <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the surface roughness length (estimated by visual inspection of vegetation height, see Table <xref ref-type="table" rid="T5"/>), both in <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. We assumed the zero plane displacement to be zero, as the vegetation height is lower than 0.5 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at all sites (except for a few taller trees at Hisåsen). We used a site-specific constant surface conductance parameter <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. An optimal <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value for each site was derived by choosing the value that minimized the root square mean error (RMSE) in an interval of <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 0 to 0.05 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, covering the parameter range found for high latitude ecosystems in <xref ref-type="bibr" rid="bib1.bibx20" id="text.50"/>, with increments of 0.0001 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Parameter values of <inline-formula><mml:math id="M88" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at each site are listed in Table <xref ref-type="table" rid="T5"/>.</p>

<table-wrap id="T5"><label>Table 5</label><caption><p id="d2e2383">Parameters used in the Penman-Monteith equation for estimating hourly evaporation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hisåsen</oasis:entry>
         <oasis:entry colname="col3">Finse</oasis:entry>
         <oasis:entry colname="col4">Iškoras</oasis:entry>
         <oasis:entry colname="col5">Adventdalen</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M91" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> (m)</oasis:entry>
         <oasis:entry colname="col2">2.8</oasis:entry>
         <oasis:entry colname="col3">4.4</oasis:entry>
         <oasis:entry colname="col4">2.8</oasis:entry>
         <oasis:entry colname="col5">2.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>
         <oasis:entry colname="col2">0.30</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4">0.04</oasis:entry>
         <oasis:entry colname="col5">0.01</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m s<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.0026</oasis:entry>
         <oasis:entry colname="col3">0.0009</oasis:entry>
         <oasis:entry colname="col4">0.0010</oasis:entry>
         <oasis:entry colname="col5">0.0010</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2518">To evaluate the sensitivity of the observed and estimated evaporation to various controls, we studied the relative error of the Penman-Monteith <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimate to the observed evaporation <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The relative error was calculated as <inline-formula><mml:math id="M97" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">pm</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">obs</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>. We evaluated the sensitivity to the main forcing variables by looking for patterns in the mean relative error for bins of available energy and vapour pressure deficit. Furthermore, we evaluated the appropriateness of using a constant surface conductance parameter. The surface conductance parameter represents how available water is for evaporation on the surface, and can be seen as a combination of stomata conductance, leaf area index and soil water conductance. The surface conductance is typically modelled as a function of phenology, soil water content, solar radiation and temperature <xref ref-type="bibr" rid="bib1.bibx49" id="paren.51"><named-content content-type="pre">e.g.</named-content></xref>. To evaluate the effect of soil moisture content and phenology on evaporation, we used a constant surface conductance and analysed the deviation from observed evaporation by looking at the tendency of the mean relative error to change for bins of the variables volumetric soil water content, time since rain and growing degree day. For volumetric soil water content, we used 20 bins in the range of observed values at each site, since the numeric value is not directly comparable between sites due to differences in soil properties. For time since rain and growing degree days, we used 24 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> bins and 90 °C bins, respectively. For each bin, any data point where the relative error was more than 1.5 times the interquantile range below the first quantile or above the third quantile, was considered an outlier and removed. Only bins with a minimum of 10 data points remaining were used in analysis.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Regional comparison</title>
      <p id="d2e2595">To evaluate how the evaporation at the sites in this study compares to that of other northern latitude sites, we compared mean annual evaporation of the four sites to those in the FLUXNET2015 dataset <xref ref-type="bibr" rid="bib1.bibx37" id="paren.52"/>. Only FLUXNET sites located above 60° N latitude with Creative Commons (CC-BY-4.0) licence were included in the comparison (see a list of the sites in Table <xref ref-type="table" rid="TE1"/>). To test the annual evaporation dependency on the site mean temperature, we fitted a linear regression with annual evaporation as dependent variable and mean annual temperature as independent variable (including both our four study sites and the fourteen FLUXNET sites) and checked if the regression slope was significant at <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. Furthermore, we tested if a better fit could be obtained by using warm season (May–September) mean temperature only instead of annual mean temperature.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Controls on evaporation</title>
      <p id="d2e2632">Hourly evaporation was significantly correlated (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) with most of the climatic and surface controls, both in the snow-free and snow-covered season (Table <xref ref-type="table" rid="T6"/>), however, the relation was typically weak (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) except for a few controls related to atmospheric evaporative demand. In the snow-free season, evaporation had strong linear relations (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>) to vapour pressure deficit and incoming shortwave radiation. Most stations had a strong or moderate relation (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) to air and soil temperature and outgoing longwave radiation, while the relation to other variables such as soil water content and wind speed was weak. In the snow-covered season, the correlation coefficients between evaporation and its controls were overall weaker than in the snow-free season, however the relation with incoming shortwave radiation and vapour pressure deficit was still strong or moderate (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) for all sites except at Adventdalen where only vapour pressure deficit had <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> in the snow-covered season. For other controls, the relation to evaporation was weak (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e2725">Pearson correlation coefficients between hourly evaporation (ET) and climatic and surface controls in both snow-free season and snow-covered season (see Tables <xref ref-type="table" rid="T2"/> and <xref ref-type="table" rid="T4"/> for abbreviations).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Hisåsen </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">Finse </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">Iškoras </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">Adventdalen </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Snow-</oasis:entry>
         <oasis:entry colname="col3">Snow-</oasis:entry>
         <oasis:entry colname="col4">Snow-</oasis:entry>
         <oasis:entry colname="col5">Snow-</oasis:entry>
         <oasis:entry colname="col6">Snow-</oasis:entry>
         <oasis:entry colname="col7">Snow-</oasis:entry>
         <oasis:entry colname="col8">Snow-</oasis:entry>
         <oasis:entry colname="col9">Snow-</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Free</oasis:entry>
         <oasis:entry colname="col3">Covered</oasis:entry>
         <oasis:entry colname="col4">Free</oasis:entry>
         <oasis:entry colname="col5">Covered</oasis:entry>
         <oasis:entry colname="col6">Free</oasis:entry>
         <oasis:entry colname="col7">Covered</oasis:entry>
         <oasis:entry colname="col8">Free</oasis:entry>
         <oasis:entry colname="col9">Covered</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">TA</oasis:entry>
         <oasis:entry colname="col2">0.67***</oasis:entry>
         <oasis:entry colname="col3">0.45***</oasis:entry>
         <oasis:entry colname="col4">0.67***</oasis:entry>
         <oasis:entry colname="col5">0.18***</oasis:entry>
         <oasis:entry colname="col6">0.64***</oasis:entry>
         <oasis:entry colname="col7">0.33***</oasis:entry>
         <oasis:entry colname="col8">0.19***</oasis:entry>
         <oasis:entry colname="col9">0.32***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VPD</oasis:entry>
         <oasis:entry colname="col2">0.81***</oasis:entry>
         <oasis:entry colname="col3">0.72***</oasis:entry>
         <oasis:entry colname="col4">0.81***</oasis:entry>
         <oasis:entry colname="col5">0.63***</oasis:entry>
         <oasis:entry colname="col6">0.80***</oasis:entry>
         <oasis:entry colname="col7">0.77***</oasis:entry>
         <oasis:entry colname="col8">0.70***</oasis:entry>
         <oasis:entry colname="col9">0.58***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col6">0.01</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">0.08***</oasis:entry>
         <oasis:entry colname="col9">0.13***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PA</oasis:entry>
         <oasis:entry colname="col2">0.26***</oasis:entry>
         <oasis:entry colname="col3">0.12***</oasis:entry>
         <oasis:entry colname="col4">0.20***</oasis:entry>
         <oasis:entry colname="col5">0.16***</oasis:entry>
         <oasis:entry colname="col6">0.15***</oasis:entry>
         <oasis:entry colname="col7">0.21***</oasis:entry>
         <oasis:entry colname="col8">0.20***</oasis:entry>
         <oasis:entry colname="col9">0.05*</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.89***</oasis:entry>
         <oasis:entry colname="col3">0.62***</oasis:entry>
         <oasis:entry colname="col4">0.72***</oasis:entry>
         <oasis:entry colname="col5">0.45***</oasis:entry>
         <oasis:entry colname="col6">0.82***</oasis:entry>
         <oasis:entry colname="col7">0.65***</oasis:entry>
         <oasis:entry colname="col8">0.76***</oasis:entry>
         <oasis:entry colname="col9">0.16***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SWIN</oasis:entry>
         <oasis:entry colname="col2">0.92***</oasis:entry>
         <oasis:entry colname="col3">0.69***</oasis:entry>
         <oasis:entry colname="col4">0.80***</oasis:entry>
         <oasis:entry colname="col5">0.51***</oasis:entry>
         <oasis:entry colname="col6">0.86***</oasis:entry>
         <oasis:entry colname="col7">0.70***</oasis:entry>
         <oasis:entry colname="col8">0.79***</oasis:entry>
         <oasis:entry colname="col9">0.32***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">albedo</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col4">0.06**</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LWIN</oasis:entry>
         <oasis:entry colname="col2">0.15***</oasis:entry>
         <oasis:entry colname="col3">0.06***</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col6">0.05**</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.42</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col9">0.21***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LWOUT</oasis:entry>
         <oasis:entry colname="col2">0.82***</oasis:entry>
         <oasis:entry colname="col3">0.38***</oasis:entry>
         <oasis:entry colname="col4">0.84***</oasis:entry>
         <oasis:entry colname="col5">0.21***</oasis:entry>
         <oasis:entry colname="col6">0.82***</oasis:entry>
         <oasis:entry colname="col7">0.44***</oasis:entry>
         <oasis:entry colname="col8">0.47***</oasis:entry>
         <oasis:entry colname="col9">0.32***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SHF</oasis:entry>
         <oasis:entry colname="col2">0.73***</oasis:entry>
         <oasis:entry colname="col3">0.02</oasis:entry>
         <oasis:entry colname="col4">0.52***</oasis:entry>
         <oasis:entry colname="col5">0.20***</oasis:entry>
         <oasis:entry colname="col6">0.71***</oasis:entry>
         <oasis:entry colname="col7">0.31***</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TS</oasis:entry>
         <oasis:entry colname="col2">0.48***</oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">0.50***</oasis:entry>
         <oasis:entry colname="col5">0.08***</oasis:entry>
         <oasis:entry colname="col6">0.63***</oasis:entry>
         <oasis:entry colname="col7">0.31***</oasis:entry>
         <oasis:entry colname="col8">0.40***</oasis:entry>
         <oasis:entry colname="col9">0.32***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SWC</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col3">0.22***</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TSR</oasis:entry>
         <oasis:entry colname="col2">0.23***</oasis:entry>
         <oasis:entry colname="col3">0.08***</oasis:entry>
         <oasis:entry colname="col4">0.31***</oasis:entry>
         <oasis:entry colname="col5">0.18***</oasis:entry>
         <oasis:entry colname="col6">0.21***</oasis:entry>
         <oasis:entry colname="col7">0.05</oasis:entry>
         <oasis:entry colname="col8">0.14***</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GDD</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula>***</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2732"><sup>*</sup> Significant at <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. <sup>**</sup> Significant at <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>. <sup>***</sup> Significant at <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d2e3624">The factor analysis showed that evaporation, vapour pressure deficit and incoming shortwave radiation had a high degree of shared variance both in the snow-free and snow-covered season. In the snow-free season, evaporation loaded highest on the first factor at Hisåsen, Finse and Iškoras (Fig. <xref ref-type="fig" rid="FF3"/>), together with vapour pressure deficit, incoming shortwave and outgoing longwave radiation  (all with loadings <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula>). Air temperature, soil temperature and soil heat flux also loaded relatively high (<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula>) on the first factor. At Adventdalen, evaporation loaded highest on the second factor, together with incoming shortwave radiation and vapour pressure deficit (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>), whereas variables such as air temperature, surface temperature, and longwave outgoing radiation loaded high on the first factor. In the snow-covered season, evaporation had a lower loading on the first and second factor compared to the snow-free season, indicating a lower degree of common variance with other variables in the dataset (Fig. <xref ref-type="fig" rid="FF4"/>). At Finse and Adventdalen, the loading for evaporation was less than 0.51. At Hisåsen and Iškoras however, the evaporation loadings in the snow-covered season was more comparable to the snow-free season (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>). At Hisåsen, evaporation had a relatively high loading (0.76) on the first factor, together with shortwave incoming radiation (0.79) and vapour pressure deficit (0.90). At Iškoras, evaporation had a relatively high loading on the second factor (0.84) together with incoming shortwave radiation (0.76) and vapour pressure deficit (0.71).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3675">Upper row shows mean evaporation (<inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for bins of available energy (<inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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>) and vapour pressure deficit (<inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>) for observed evaporation in colour plot, and modelled evaporation in contour plot (solid black lines). The lower row shows the relative error (%) of the modelled evaporation by the Penman-Monteith equation for the same bins of available energy and vapour pressure deficit.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f04.png"/>

        </fig>

      <p id="d2e3726">Comparing observed evaporation to Penman-Monteith estimates in the snow-free season, and looking at the distribution for bins of available energy and vapour pressure deficit (Fig. <xref ref-type="fig" rid="F4"/>, upper row), we found that the Penman-Monteith equation reproduced the observed pattern of high evaporation when both vapour pressure deficit and available energy were high, and low evaporation when both controlling factors were low. The mean relative error (Fig. <xref ref-type="fig" rid="F4"/>, lower row) showed a similar pattern across the sites, and showed a tendency towards overestimation (red hexagons) when vapour pressure deficit was low, and underestimation (blue hexagons) when high vapour pressure deficit was combined with low available energy. Furthermore, evaporation was underestimated by the Penman-Monteith equation when available energy was negative.</p>
      <p id="d2e3733">We evaluated the sensitivity of the observed and estimated evaporation, and the relative error of the estimates, to surface controls that can affect the surface water availability, such as the soil water content and time since rain (Figs. <xref ref-type="fig" rid="FF5"/>–<xref ref-type="fig" rid="FF6"/>), and growing degree day which is related to phenology (Fig. <xref ref-type="fig" rid="FF7"/>). Overall, the sensitivity of the Penman-Monteith estimates corresponded to the observed sensitivity, and there was no tendency for the relative error to increase or decrease with changes in the surface controls. However, there was a tendency towards higher relative errors at high values of soil water content at Finse (Fig. <xref ref-type="fig" rid="FF5"/>).</p>
      <p id="d2e3744">The Bowen ratio, i.e. the ratio of sensible to latent heat flux, decreased with vapour pressure deficit (Fig. <xref ref-type="fig" rid="FF8"/>), meaning that latent heat flux was increasingly favoured over sensible heat flux with increasing vapour pressure deficit. At vapour pressure deficit over 0.4 to 1.0 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>, the Bowen ratio was under 1 and the latent heat flux dominated over sensible heat. At Hisåsen, the mean Bowen ratio stabilised at just below 1 for vapour pressure deficit exceeding 1.0 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>, while at the other sites, it continued to decrease for the whole range of observed values of vapour pressure deficit.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3767">Daily evaporation in <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (upper row), available energy in <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (middle row) and vapour pressure deficit in <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> (lower row) for each month at the four sites. For each month, the box plot represents median, 25- and 75 quantiles, and whiskers represent minimum and maximum values. The mean is represented by a white dot. Daily values are cumulative values of half-hourly values for evaporation and available energy, and daily mean for vapour pressure deficit.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Magnitudes of evaporation</title>
      <p id="d2e3835">Daily evaporation rates showed a clear seasonal pattern, with lower values in the snow-covered season and higher values in the snow-free season. Across the sites, mean daily evaporation (averaged over season) ranged from 0.0 to 0.1 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the snow-covered season, from 0.2 to 0.4 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the shoulder season and from 0.5 to 1.0 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the snow-free season. In the shoulder and snow-free season, the magnitudes of mean daily evaporation followed the gradient in mean annual temperature, with the highest evaporation at Hisåsen and lowest at Adventdalen, while in the snow-covered season there were only minor differences between the sites. Looking at the distribution of daily evaporation per month of the year (Fig. <xref ref-type="fig" rid="F5"/>, upper row), we found that the mean daily evaporation was highest in the summer months, June–August, at all sites. However, the month of the highest mean daily rates were slightly different between the sites. The mean daily evaporation peaked in June at Hisåsen and Adventdalen, June/July at Iškoras and July/August at Finse. Comparing across sites, evaporation was highest at Hisåsen, with mean daily evaporation of 1.9 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (June), compared to 0.8 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Finse (July/August), 1.2 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Iškoras (June/July), and 0.8 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Adventdalen (June).</p>
      <p id="d2e3960">The seasonal pattern of available energy and vapour pressure deficit followed a similar seasonal pattern, with lower values in winter and higher during summer (Fig. <xref ref-type="fig" rid="F5"/>, middle and lower row). Mean daily available energy ranged from <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> to 0.6 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the snow-covered season, from 1.2 to 5.0 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the shoulder season, and from 6.1 to 7.0 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the snow-free season. Mean daily vapour pressure deficit ranged from 0.04 to 0.12 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> in the snow-covered season, from 0.03 to 0.15 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> in the shoulder season, and from 0.14 to 0.35 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> in the snow-free season. Available energy peaked in June for all sites, while vapour pressure deficit peaked in either June, July, or August depending on site.</p>
      <p id="d2e4051">Across the sites, we found a large variation in the role of evaporation in the vertical water balance, due to a higher variation in precipitation (Table <xref ref-type="table" rid="T1"/>) than in evaporation. The evaporation ratio, i.e. the ratio of evaporation to precipitation, was highest at Adventdalen, the site with the lowest precipitation, and lowest at Finse, the site with the highest precipitation. For individual months, the evaporation ratio was occasionally over 100 % at all sites, and up to 400 % at Adventdalen (Fig. <xref ref-type="fig" rid="F6"/>). At Finse, the monthly evaporation ratio was generally below 40 %, except in August 2021 when evaporation was 124 % of the precipitation. At Adventdalen, the monthly evaporation ratio was typically higher than 100 % in May, June, and July. Considering the warm season (May–September), the total evaporation was up to 72 % of the precipitation in the same months (at Adventdalen in 2015). The mean warm season evaporation ratio was lowest at Finse (20 %), intermediate at Hisåsen (48 %) and Iškoras (47 %) and highest at Adventdalen (58 %). The mean annual evaporation ratio ranged from 9 % to 30 % of MAP (Fig. <xref ref-type="fig" rid="F6"/>), and the evaporation ratio increased with decreasing MAP across sites.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4063">Mean monthly evaporation and precipitation in <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> (upper row), with error bars representing minimum and maximum values, and mean monthly evaporation ratio in % (lower row), with error bars representing minimum and maximum values.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f06.png"/>

        </fig>

      <p id="d2e4080">Overall, annual evaporation followed the gradient in mean annual temperature, with evaporation increasing with increasing temperature (Fig. <xref ref-type="fig" rid="F7"/>). The highest annual evaporation was found at the Hisåsen site, with mean annual evaporation amounting to 208 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, followed by 107 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> at Iškoras, 81 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> at Finse and 80 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> at Adventdalen. Interannual variability in evaporation was generally low. At Hisåsen, Iškoras and Adventdalen, annual evaporation deviated less than 10 % from the mean. However, at Finse, the interannual variability was larger, with evaporation in 2020 being 34 % lower and in 2021 27 % higher than the mean of all four years.</p>
      <p id="d2e4117">We found that some site-specific interannual variability in evaporation corresponded with the interannual variability of the end of the snow-covered season. At Hisåsen, Finse and Iškoras the year with the lowest annual evaporation corresponded to the year with the longest lasting snow cover in spring (Fig. <xref ref-type="fig" rid="F7"/>). Accordingly, at Hisåsen and Finse, the year with the highest annual evaporation corresponded to the year with the earliest snow cover melt-out. To assess whether the lower annual evaporation in years with a long-lasting snow-cover was mainly caused by a shorter evaporative season or if years with a longer lasting snow-cover had lower evaporative demand in the snow-free season, we compared weekly values of evaporation, incoming solar radiation and vapour pressure deficit for overlapping weeks in the snow-free season of each year. The comparison was set up as an ANOVA-analysis for each variable, using a significance level of <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. We found that weekly evaporation rates did not differ significantly between years, nor were there significant differences in incoming solar radiation or vapour pressure deficit. Comparing across sites, a larger interannual variability in snow-cover duration in spring corresponded with a larger interannual variability in evaporation, with Finse showing the highest interannual variation.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4136">The upper row shows cumulative evaporation in <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> (upper row) for the years 2019 (dotted lines), 2020 (dashed lines) and 2021 (solid lines) for sites Hisåsen (green), Finse (blue) and Iškoras (orange), and the years 2013 (dotted lines), 2015 (solid lines) and 2016 (dashed lines) for Adventdalen (red). The bars in the lower row represents the time of the year when the ground is either snow-covered (white bar) partly snow-covered (beige bar) or snow-free (green bar).</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f07.png"/>

        </fig>

      <p id="d2e4153">The mean annual evaporation at our sites (80–208 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>), was in the lower range of the mean annual evaporation at the selected FLUXNET2015 sites (45–385 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>), despite being in the mid-range of mean annual temperature. Furthermore, we found no significant linear relationship between annual evaporation with mean annual temperature when including the 14 FLUXNET2015 sites (Fig. <xref ref-type="fig" rid="FF15"/>). However, we found a significant increase in annual evaporation with mean temperature in the warm season (Fig. <xref ref-type="fig" rid="F8"/>), with a slope of 16.4 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">°</mml:mi><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Still, all our four sites were below the trendline. We were unable to detect any pattern in the deviation from the regression line based on ecosystem type, however, the ecosystem types were not evenly distributed over the temperature range. For example, all forest sites were in the upper end of the temperature range.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4211">Annual evaporation of selected FLUXNET2015 sites above 60° N latitude (evergreen needle-leaf forest in dark grey, wetlands in black and other ecosystem types in light grey) compared to the study sites Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red). The annual evaporation (in mm) on the <inline-formula><mml:math id="M181" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis is plotted against mean May–September temperature (in °C), averaged over measured years, on the <inline-formula><mml:math id="M182" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. The bars represent minimum and maximum values of years in measurement periods, while the intersect represent the mean. The dashed line shows the linear regression line of mean warm season (May–September) temperature and annual evaporation (including both our four study sites and the fourteen FLUXNET sites).</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f08.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Controls on evaporation</title>
      <p id="d2e4250">Our results show that evaporation from northern latitude wetlands is mainly controlled by atmospheric evaporative demand, and furthermore, that the evaporative demand depends mainly on incoming solar radiation and vapour pressure deficit. On the sub-daily (hourly) timescale, vapour pressure deficit and incoming solar radiation had a strong correlation with evaporation, loaded high in the factor analysis on the same factors as evaporation, and had a high relative importance in the random forest model. Though vapour pressure deficit and incoming solar radiation had a high degree of shared variance, we found that evaporation was occasionally limited by low vapour pressure deficit despite available energy being high (Fig. <xref ref-type="fig" rid="F4"/>). Especially at Finse and Adventdalen, where the climatic setting and oceanic influence lead to lower warm season temperatures and higher air humidity, the vapour pressure deficit was typically low, leading to constrained evaporation. At low vapour pressure deficit, more of the available energy was partitioned into sensible heat flux, as shown by the higher Bowen ratio for low vapour pressure deficit (Fig. <xref ref-type="fig" rid="FF8"/>). Additionally, we found that evaporation at Adventdalen in the snow-covered season was mainly controlled by vapour pressure deficit. The correlation to other controls was weak. This is likely due to the long polar night at Adventdalen with low variation in solar energy.</p>
      <p id="d2e4257">Other studies such as <xref ref-type="bibr" rid="bib1.bibx23" id="text.53"/> and <xref ref-type="bibr" rid="bib1.bibx17" id="text.54"/> have discussed the role of vapour pressure deficit in controlling northern latitude evaporation. <xref ref-type="bibr" rid="bib1.bibx23" id="text.55"/> found latent heat flux to persistently exceed sensible heat flux when vapour pressure deficit was above 0.3 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> for wet soils, and above 1.2 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> for dry soils. We found a similar threshold at around 0.8–1.0 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="FF8"/>) with no clear effect of soil moisture content (Fig. <xref ref-type="fig" rid="FF9"/>). Additionally, we found that the Bowen ratio continued to decrease with vapour pressure deficit at Iškoras and Finse while the midday mean Bowen ratio at Hisåsen levelled off at values just below 1 at high vapour pressure deficits. The higher Bowen ratio at Hisåsen during high vapour pressure deficit might be caused by a higher cover of vascular plants. Vascular plants close their stomata during periods of high vapour pressure deficit to prevent excessive water loss <xref ref-type="bibr" rid="bib1.bibx33" id="paren.56"/>, resulting in reduced transpiration rates. At Finse, Iškoras, the footprints of the eddy covariance measurements have a higher percentage than Hisåsen of open water surfaces and non-vascular vegetation where the soil remains saturated most of the year (Fig. <xref ref-type="fig" rid="F2"/>), and evaporation may continue to increase in response to the increased atmospheric evaporative demand as vapour pressure deficit increases. <xref ref-type="bibr" rid="bib1.bibx17" id="text.57"/> found a varying response to increasing evaporative demand based on vegetation type, and showed that evaporation from boreal peatlands increased more than evaporation from boreal forests with increasing vapour pressure deficit. At Hisåsen, a few trees are present in the footprint, however it is unclear how they contribute to the total evaporation measured. <xref ref-type="bibr" rid="bib1.bibx59" id="text.58"/> found that overstory transpiration contributed less than 1 % to total evaporation of a boreal bog with sparse tree density in north-western Canada.</p>
      <p id="d2e4310">Our results indicate that evaporation during the snow-free season has a low sensitivity to surface conditions, apart from the effect of the surface on available energy. Overall, the evaporation dynamic in the snow-free season was well represented by the Penman-Monteith equation with a fixed site-specific surface conductance. We found no tendency for the relative error of the Penman-Monteith estimates or Bowen ratio to change with decreasing soil moisture content or time since rain (Figs. <xref ref-type="fig" rid="FF5"/>, <xref ref-type="fig" rid="FF6"/> and <xref ref-type="fig" rid="FF9"/>), indicating that evaporation was not constrained by low soil moisture content at our sites. The tendency of larger relative error (model overestimation) at high soil water content at Finse was likely because the highest levels of soil moisture were only reached during or shortly after rain events, when vapour pressure deficit was very low. The Penman-Monteith model tended to overestimate evaporation during periods of low vapour pressure deficit (Fig. <xref ref-type="fig" rid="F4"/>). Furthermore, we found no change in relative error with growing degree day (Fig. <xref ref-type="fig" rid="FF7"/>), indicating that the seasonal vegetation development has limited influence on the total evaporation. However, the transpiration response to leaf phenology and soil moisture may be hard to detect due to a larger soil and free water evaporation in the total evaporation measured. Other studies have found that vegetation type is an important predictor of high-latitude evaporation <xref ref-type="bibr" rid="bib1.bibx34" id="paren.59"/>. The low sensitivity to soil moisture and phenology at our sites agrees with the results of <xref ref-type="bibr" rid="bib1.bibx20" id="text.60"/>, who studied evaporation in 65 boreal and arctic eddy covariance sites and found that surface conditions exert strong control on the latent heat flux in mature forest, but has less influence in ecosystems with shorter vegetation such as grassland, wetlands, and tundra.</p>
      <p id="d2e4330">The four sites in this study can all be described as having well-watered soils throughout the year, and the measurement periods did not include substantial dry periods. Therefore, it is likely that the soil moisture content did not decrease to a level where it would restrict evaporation. However, as the surfaces at the sites included are heterogenous, evaporation may have been restricted by lower soil moisture in the drier parts of the footprint although not detectable in the observations due to averaging out by higher evaporation from wetter parts. <xref ref-type="bibr" rid="bib1.bibx48" id="text.61"/> found low Bowen ratios in wet years after large snowmelts in the Canadian shield subarctic terrain and increased over the growing season. Although this study did not specifically examine how the Bowen ratio changed with time since snowmelt, point measurements of soil water content (available at Hisåsen, Finse and Iškoras) indicated that soil moisture during the snow-free season was influenced more by individual rainfall events than by the time elapsed since snowmelt (Fig. <xref ref-type="fig" rid="FF10"/>). At Finse and Iškoras, the highest levels of soil moisture were found during and right after rain events, while at Hisåsen the relation of soil moisture and time since rain was unclear. We also found no clear relationship  between years with greater snow accumulation (Fig. <xref ref-type="fig" rid="FF16"/>) and level of soil moisture at the start of the snow-free season. Other studies have found contrasting results regarding the sensitivity of evaporation to soil moisture content in northern latitude ecosystems. <xref ref-type="bibr" rid="bib1.bibx60" id="text.62"/> and <xref ref-type="bibr" rid="bib1.bibx23" id="text.63"/> found that the Bowen ratio in a high-arctic tundra site and at an Arctic coastal wetland, respectively, decreased with higher soil water content, i.e., latent heat flux was favoured over sensible heat flux when soil water content was high. <xref ref-type="bibr" rid="bib1.bibx35" id="text.64"/> found soil moisture to be a strong control on interannual variation in evaporation from a deciduous needle leaf forest in eastern Siberia, while <xref ref-type="bibr" rid="bib1.bibx45" id="text.65"/> found that temporal changes in soil moisture did not affect evaporative fluxes in subarctic deciduous woodland. Transpiration and soil evaporation typically decrease with soil moisture content below a certain threshold <xref ref-type="bibr" rid="bib1.bibx47" id="paren.66"/>.</p>
      <p id="d2e4357">We found that the presence or absence of snow on the surface had a large effect on evaporation rates, especially during spring, when the atmospheric evaporative demand was high. The amount of accumulated snow during the winter can affect the warm season flux budget. <xref ref-type="bibr" rid="bib1.bibx42" id="text.67"/> investigated the effect of snow cover duration on annual evaporation, in a study of water and carbon fluxes at Finse. In 2020, a year with one month delay in snow cover melt-out, the annual evaporation was reduced by 50 % compared to 2021 – a year with normal snow cover duration. <xref ref-type="bibr" rid="bib1.bibx50" id="text.68"/> found that, in a year with above average snow accumulation, accumulated growing season latent heat flux was reduced by 33 % in a high arctic wet fen in Zackenberg, Northeast Greenland, while it increased by 24 % in a nearby dry heath at the expense of sensible heat. We found that that sites with lower interannual variation in snow-cover duration have lower interannual variation in evaporation, and that a longer lasting snow-cover is typically associated with lower annual evaporation.</p>
      <p id="d2e4366">The dynamics of evaporation in the snow-free season was well represented by the Penman-Monteith equation, despite using a fixed surface conductance parameter. Predicting the magnitude, however, depends on finding a suitable value for surface conductance. The Penman-Monteith equation assumes surface energy balance, i.e. available energy is partitioned into either sensible or latent heat flux, whereas the measured fluxes do not amount to the measured available energy at the sites. Accordingly, the surface conductance parameter acts to compensate for the lack of for energy balance closure. By optimizing the surface conductance parameter using the sum of observed sensible and latent heat as available energy (i.e. forcing energy balance closure), we found higher values of surface conductance, with less variation between sites (0.0028–0.0044 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared to 0.000–0.0028 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> when the difference between net radiation and soil heat flux was used as available energy). Lack of energy balance closure is not uncommon for eddy covariance sites, and can be caused by e.g. unmeasured storage terms, large scale exchange processes, and landscape heterogeneity <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx51" id="paren.69"/>. In the snow-free season, energy balance closure varied from 0.7 at Hisåsen to around 0.5 at Finse, Iškoras and Adventdalen (Tables <xref ref-type="table" rid="T3"/> and <xref ref-type="fig" rid="FF1"/>). When including data for the whole year, the degree of energy balance closure was lower at Finse and Iškoras (Fig. <xref ref-type="fig" rid="FF2"/>). This might be partly due the energy used for snow melt, which is not accounted for in the energy balance calculation. As Finse on average accumulated more than the double amount of snow (in <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> water equivalent) as the other sites (Fig. <xref ref-type="fig" rid="FF16"/>), energy spent on snow melt will have a lower effect on the full year energy balance of the other sites. Additionally, weather conditions associated with low energy balance closure may be more common in winter.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Magnitudes of evaporation</title>
      <p id="d2e4431">At the four Norwegian eddy covariance sites studied, we found that the mean annual evaporation ranged between 80–208 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. This is at the lower end and below the range of pan evaporation rates measured at 42 sites in Norway between 1967 and 1972 <xref ref-type="bibr" rid="bib1.bibx18" id="paren.70"/>. The pan evaporation sites were mostly located at lower altitudes with higher temperatures. For the five pan sites with a mean annual temperature in the reference period 1961–1990 below 3 °C (data from MET Norway), annual pan evaporation ranged from 250–315 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> (mean annual temperature was 1.0–2.4 °C).</p>
      <p id="d2e4453">The magnitudes of annual evaporation at our four eddy covariance sites were within the range found at northern latitude eddy covariance sites in FLUXNET2015 (45–385 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>). Including the FLUXNET2015 sites in the data sample, annual evaporation showed a strong relation to mean temperature in the warm season (May–September). However, all four Norwegian sites ended up below the regression line. Grouping the site ecosystem types into wetland and forest sites did not reveal any pattern that could explain the deviation seen. However, the ecosystem types were not evenly distributed in the temperature range. Another possible explanation for the deviations is the degree of continentality, where sites in more oceanic climates are influenced by maritime moist air masses and have lower vapour pressure deficit for the same temperatures compared to sites in more continental climates.</p>
      <p id="d2e4464">We found a large variation in the role that the evaporation plays in the vertical water balance. At Finse, the annual evaporation was less than 13 % of the annual precipitation, while at Adventdalen evaporation amounted to more than 28 % of the precipitation. The large variation in the evaporation ratio (evaporation as a fraction of precipitation) was caused by a high variation in annual precipitation across sites with evaporation varying less. The wettest site, Finse, is also the site with the lowest evaporation. The evaporation ratio is thus mainly controlled by precipitation. As the precipitation data used in this study have not been corrected for potential under-catch, the precipitation might be underestimated, especially in the months when precipitation falls as snow. Thus, the estimated evaporation ratios might be overestimated, especially for months in the cold season as well as annual estimates. The evaporation ratio for the warm season is less affected by precipitation under-catch when precipitation falls as rain <xref ref-type="bibr" rid="bib1.bibx61" id="paren.71"/>.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Evaporation in a warmer climate</title>
      <p id="d2e4478">Our results suggest that evaporation from northern latitude wetlands will increase in a warmer climate with the expected reduction in snow-cover duration <xref ref-type="bibr" rid="bib1.bibx44" id="paren.72"/> and increased vapour pressure deficit <xref ref-type="bibr" rid="bib1.bibx11" id="paren.73"/>. We found that site-level variation in annual evaporation was linked to spring snow-cover melt out timing, whereas we did not find any significant difference in the evaporative demand between years for overlapping periods (weeks) of the snow-free season. Although our dataset only included 3–4 years of data per site, it is reasonable to conclude that the snow-cover melt out date has a notable effect on annual evaporation. The mean snow melt-out dates across all sites varied from 23 May to 14 July, a period of the year when incoming solar radiation typically is high. An earlier snow cover melt out date implies more solar radiation will be absorbed by the surface (lower albedo as compared to a snow-covered surface), enhancing an early start of the growing season. The timing of the start of the snow covered season in autumn is less likely to affect the evaporation, as the evaporative demand is typically low this period of the year.</p>
      <p id="d2e4487">The study finds that low vapour pressure deficit is likely a constraining factor for evaporation at northern latitudes. Thus, it is likely that evaporation will increase with the expected increase in atmospheric demand through an increase in vapour pressure deficit in response to global warming.</p>
      <p id="d2e4490">The response of the ecosystem evaporation to increased evaporative demand will, however, depend on soil moisture availability <xref ref-type="bibr" rid="bib1.bibx33" id="paren.74"/>. Though we did not observe any soil moisture constrains on evaporation, evaporation was regularly exceeding precipitation in May, June, and July at Adventdalen, which had the lowest precipitation, and was typically around 50 % of precipitation in the warm season. The soil moisture availability therefore depends on precipitation and/or melt water from preceding months. An earlier snow-cover melt-out and increased evaporation in spring, might lead to lowered soil moisture availability later in the season, potentially limiting evaporation in anomaly warm and dry years.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e4506">The study investigated controls and magnitudes of evaporation from four northern latitude wetlands in Norway. Our analysis show that the hourly evaporation in the snow-free season is mainly controlled by the atmospheric evaporative demand, which again is mainly controlled by incoming solar radiation and vapour pressure deficit. We found that the sensitivity of the Bowen ratio to vapour pressure deficit varied between sites. At the site with a higher cover of vascular plants, midday mean Bowen ratio levelled off at values just below 1 at vapour pressure deficits exceeding 1 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>, while it continued to decrease with vapour pressure deficit at the sites with a larger cover of open water and non-vascular vegetation. The results indicate that the evaporation had a low sensitivity to phenology and observed changes in soil water content. We found that the mean daily evaporation was highest in June–August at all sites. However, the timing of the highest mean daily rates were slightly different between the sites. Mean annual evaporation ranged from 80 to 208 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> and increased with the spatial gradient in the warm season mean temperature. We found that sites with lower interannual variation in snow-cover duration have lower interannual variation in evaporation, and that a longer lasting snow-cover is typically associated with lower annual evaporation. The magnitudes of annual evaporation at our four Norwegian eddy covariance sites were within the range found at the northern latitude eddy covariance sites in FLUXNET2015, but in the lower range when considering the spatial gradient in the warm season mean temperature. The variability in ET found across our sites underpins the pressing need for additional in-situ measurements. These data-scarce regions are projected to experience strong climate warming, which can feed back to other components in the Earth system.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Climate reference data</title>
      <p id="d2e4537">Mean annual precipitation (MAP) and temperature (MAAT) listed in Table <xref ref-type="table" rid="TA1"/> are averages over the climate reference period 1991–2020 from the nearest MET Norway weather station. Data from the nearest weather station is used to estimate MAP and MAAT values for each site (Table <xref ref-type="table" rid="T1"/>) and to compare the monthly temperature and precipitation in the measurement periods to that of the climate reference period (Fig. <xref ref-type="fig" rid="F3"/>). The nearest weather station to Hisåsen is “SN210 – Trysil Vegetasjon” (357 m a.s.l., precipitation and temperature). For Finse, the weather station is collocated with the eddy covariance station and climate reference data listed is from this station. For Iškoras, the nearest weather stations are “SN97251 Karasjok – Markannjarga” (131 m a.s.l., precipitation and temperature), and “SN97710 Iskoras” (131 m a.s.l., temperature only).  An altitude-based weighted average between the two nearest weather stations is used to determine the mean annual and monthly values for Iškoras (380 m a.s.l.) in Fig. <xref ref-type="fig" rid="F1"/> and Table <xref ref-type="table" rid="T1"/>.</p>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e4554">Coordinates, altitude, mean annual precipitation (MAP) and temperature (MAAT) for weather stations used to describe the climatic context of the sites in this study. MAP and MAAT are averages over the climate reference period 1991–2020. Based on data from The Norwegian Meteorological Institute.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Station ID</oasis:entry>
         <oasis:entry colname="col2">Station name</oasis:entry>
         <oasis:entry colname="col3">Coordinates</oasis:entry>
         <oasis:entry colname="col4">Altitude (m a.s.l.)</oasis:entry>
         <oasis:entry colname="col5">MAAT (°C)</oasis:entry>
         <oasis:entry colname="col6">MAP (<inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">SN25830</oasis:entry>
         <oasis:entry colname="col2">Finsevatn</oasis:entry>
         <oasis:entry colname="col3">60.59° N, 7.53° E</oasis:entry>
         <oasis:entry colname="col4">2010</oasis:entry>
         <oasis:entry colname="col5">1.1</oasis:entry>
         <oasis:entry colname="col6">968</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SN180</oasis:entry>
         <oasis:entry colname="col2">Trysil Vegstasjon</oasis:entry>
         <oasis:entry colname="col3">61.29° N, 12.27° E</oasis:entry>
         <oasis:entry colname="col4">360</oasis:entry>
         <oasis:entry colname="col5">2.7</oasis:entry>
         <oasis:entry colname="col6">857</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SN97710</oasis:entry>
         <oasis:entry colname="col2">Iskoras II</oasis:entry>
         <oasis:entry colname="col3">69.30° N, 25.34° E</oasis:entry>
         <oasis:entry colname="col4">591</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SN97251</oasis:entry>
         <oasis:entry colname="col2">Karasjok - Markannjarga</oasis:entry>
         <oasis:entry colname="col3">69.46° N, 25.50° E</oasis:entry>
         <oasis:entry colname="col4">131</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">417</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SN99840</oasis:entry>
         <oasis:entry colname="col2">Svalbard lufthavn</oasis:entry>
         <oasis:entry colname="col3">78.24° N, 15.50° E</oasis:entry>
         <oasis:entry colname="col4">28</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">218</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Classification  of precipitation as snow, sleet or rain</title>
      <p id="d2e4754">To classify precipitation we applied a simple temperature-based climate indicator, as in <xref ref-type="bibr" rid="bib1.bibx22" id="text.75"/>, where precipitation is classified as snow  (mean daily <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">≤</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C), sleet (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C) or rain (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mi mathvariant="normal">≥</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C). Daily percentage in each category was then calculated as percentage of total daily precipitation. The monthly mean, for data in the respective measurement periods of the study sites , is summarized in Table <xref ref-type="table" rid="TB1"/>. Daily precipitation and mean air temperature from the nearest MET Norway weather station (see Table <xref ref-type="table" rid="TA1"/>) was used for the classification (SN180 for Hisåsen, SN25830 for Finse, SN97251 for Iškoras and SN99840). Similar values were found when using hourly data (not available at SN99840).</p>

<table-wrap id="TB1"><label>Table B1</label><caption><p id="d2e4819">Percentage of precipitation as snow, sleet of rain, average for each month in the respective measurement periods of the study sites (1 January 2020–31 December 2022 for Hisåsen, 1 January 2019–31 December 2022 for Finse, 1 January 2019–31 December 2021 for Iškoras and 1 January 2013–31 December 2013 and 1 January 2015–31 December 2016 for Adventdalen). The classification is based on daily precipitation and daily mean air temperature from the nearest MET Norway weather station.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="13">
     <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" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Hisåsen </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">Finse </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center" colsep="1">Iškoras </oasis:entry>
         <oasis:entry rowsep="1" namest="col11" nameend="col13" align="center">Adventdalen </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Snow</oasis:entry>
         <oasis:entry colname="col3">Sleet</oasis:entry>
         <oasis:entry colname="col4">Rain</oasis:entry>
         <oasis:entry colname="col5">Snow</oasis:entry>
         <oasis:entry colname="col6">Sleet</oasis:entry>
         <oasis:entry colname="col7">Rain</oasis:entry>
         <oasis:entry colname="col8">Snow</oasis:entry>
         <oasis:entry colname="col9">Sleet</oasis:entry>
         <oasis:entry colname="col10">Rain</oasis:entry>
         <oasis:entry colname="col11">Snow</oasis:entry>
         <oasis:entry colname="col12">Sleet</oasis:entry>
         <oasis:entry colname="col13">Rain</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">January</oasis:entry>
         <oasis:entry colname="col2">51</oasis:entry>
         <oasis:entry colname="col3">32</oasis:entry>
         <oasis:entry colname="col4">17</oasis:entry>
         <oasis:entry colname="col5">81</oasis:entry>
         <oasis:entry colname="col6">19</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
         <oasis:entry colname="col8">98</oasis:entry>
         <oasis:entry colname="col9">2</oasis:entry>
         <oasis:entry colname="col10">0</oasis:entry>
         <oasis:entry colname="col11">51</oasis:entry>
         <oasis:entry colname="col12">10</oasis:entry>
         <oasis:entry colname="col13">38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">February</oasis:entry>
         <oasis:entry colname="col2">53</oasis:entry>
         <oasis:entry colname="col3">22</oasis:entry>
         <oasis:entry colname="col4">25</oasis:entry>
         <oasis:entry colname="col5">79</oasis:entry>
         <oasis:entry colname="col6">19</oasis:entry>
         <oasis:entry colname="col7">2</oasis:entry>
         <oasis:entry colname="col8">96</oasis:entry>
         <oasis:entry colname="col9">2</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">93</oasis:entry>
         <oasis:entry colname="col12">4</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">March</oasis:entry>
         <oasis:entry colname="col2">39</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">82</oasis:entry>
         <oasis:entry colname="col6">6</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">90</oasis:entry>
         <oasis:entry colname="col9">7</oasis:entry>
         <oasis:entry colname="col10">4</oasis:entry>
         <oasis:entry colname="col11">71</oasis:entry>
         <oasis:entry colname="col12">20</oasis:entry>
         <oasis:entry colname="col13">9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">April</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">34</oasis:entry>
         <oasis:entry colname="col4">61</oasis:entry>
         <oasis:entry colname="col5">79</oasis:entry>
         <oasis:entry colname="col6">4</oasis:entry>
         <oasis:entry colname="col7">17</oasis:entry>
         <oasis:entry colname="col8">37</oasis:entry>
         <oasis:entry colname="col9">36</oasis:entry>
         <oasis:entry colname="col10">27</oasis:entry>
         <oasis:entry colname="col11">71</oasis:entry>
         <oasis:entry colname="col12">20</oasis:entry>
         <oasis:entry colname="col13">8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">May</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">97</oasis:entry>
         <oasis:entry colname="col5">26</oasis:entry>
         <oasis:entry colname="col6">15</oasis:entry>
         <oasis:entry colname="col7">59</oasis:entry>
         <oasis:entry colname="col8">4</oasis:entry>
         <oasis:entry colname="col9">26</oasis:entry>
         <oasis:entry colname="col10">69</oasis:entry>
         <oasis:entry colname="col11">43</oasis:entry>
         <oasis:entry colname="col12">17</oasis:entry>
         <oasis:entry colname="col13">40</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">June</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7">98</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">0</oasis:entry>
         <oasis:entry colname="col10">100</oasis:entry>
         <oasis:entry colname="col11">0</oasis:entry>
         <oasis:entry colname="col12">6</oasis:entry>
         <oasis:entry colname="col13">94</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">July</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7">98</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">0</oasis:entry>
         <oasis:entry colname="col10">100</oasis:entry>
         <oasis:entry colname="col11">0</oasis:entry>
         <oasis:entry colname="col12">0</oasis:entry>
         <oasis:entry colname="col13">100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">August</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">100</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">0</oasis:entry>
         <oasis:entry colname="col10">100</oasis:entry>
         <oasis:entry colname="col11">0</oasis:entry>
         <oasis:entry colname="col12">0</oasis:entry>
         <oasis:entry colname="col13">100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">September</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">4</oasis:entry>
         <oasis:entry colname="col7">96</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">4</oasis:entry>
         <oasis:entry colname="col10">96</oasis:entry>
         <oasis:entry colname="col11">2</oasis:entry>
         <oasis:entry colname="col12">1</oasis:entry>
         <oasis:entry colname="col13">97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">October</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">9</oasis:entry>
         <oasis:entry colname="col4">91</oasis:entry>
         <oasis:entry colname="col5">16</oasis:entry>
         <oasis:entry colname="col6">30</oasis:entry>
         <oasis:entry colname="col7">54</oasis:entry>
         <oasis:entry colname="col8">38</oasis:entry>
         <oasis:entry colname="col9">32</oasis:entry>
         <oasis:entry colname="col10">30</oasis:entry>
         <oasis:entry colname="col11">19</oasis:entry>
         <oasis:entry colname="col12">20</oasis:entry>
         <oasis:entry colname="col13">60</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">November</oasis:entry>
         <oasis:entry colname="col2">18</oasis:entry>
         <oasis:entry colname="col3">8</oasis:entry>
         <oasis:entry colname="col4">74</oasis:entry>
         <oasis:entry colname="col5">49</oasis:entry>
         <oasis:entry colname="col6">14</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
         <oasis:entry colname="col8">70</oasis:entry>
         <oasis:entry colname="col9">15</oasis:entry>
         <oasis:entry colname="col10">16</oasis:entry>
         <oasis:entry colname="col11">60</oasis:entry>
         <oasis:entry colname="col12">15</oasis:entry>
         <oasis:entry colname="col13">25</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">December</oasis:entry>
         <oasis:entry colname="col2">69</oasis:entry>
         <oasis:entry colname="col3">26</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">75</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">97</oasis:entry>
         <oasis:entry colname="col9">3</oasis:entry>
         <oasis:entry colname="col10">0</oasis:entry>
         <oasis:entry colname="col11">76</oasis:entry>
         <oasis:entry colname="col12">20</oasis:entry>
         <oasis:entry colname="col13">4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Yearly mean</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">13</oasis:entry>
         <oasis:entry colname="col4">67</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">48</oasis:entry>
         <oasis:entry colname="col8">44</oasis:entry>
         <oasis:entry colname="col9">11</oasis:entry>
         <oasis:entry colname="col10">45</oasis:entry>
         <oasis:entry colname="col11">40</oasis:entry>
         <oasis:entry colname="col12">11</oasis:entry>
         <oasis:entry colname="col13">48</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Observed and gap-filled evaporation data</title>

<table-wrap id="TC1"><label>Table C1</label><caption><p id="d2e5509">Percentage of gap-filled and observed data for each site and each month. The values represent hours of gap-filled or observed data as percentage of total hours in each month.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Hisåsen </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">Finse </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">Iškoras </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">Adventdalen </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Filled</oasis:entry>
         <oasis:entry colname="col3">Observed</oasis:entry>
         <oasis:entry colname="col4">Filled</oasis:entry>
         <oasis:entry colname="col5">Observed</oasis:entry>
         <oasis:entry colname="col6">Filled</oasis:entry>
         <oasis:entry colname="col7">Observed</oasis:entry>
         <oasis:entry colname="col8">Filled</oasis:entry>
         <oasis:entry colname="col9">Observed</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">January</oasis:entry>
         <oasis:entry colname="col2">81.0</oasis:entry>
         <oasis:entry colname="col3">19.0</oasis:entry>
         <oasis:entry colname="col4">95.6</oasis:entry>
         <oasis:entry colname="col5">4.4</oasis:entry>
         <oasis:entry colname="col6">99.7</oasis:entry>
         <oasis:entry colname="col7">0.3</oasis:entry>
         <oasis:entry colname="col8">85.2</oasis:entry>
         <oasis:entry colname="col9">14.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">February</oasis:entry>
         <oasis:entry colname="col2">88.9</oasis:entry>
         <oasis:entry colname="col3">11.1</oasis:entry>
         <oasis:entry colname="col4">91.3</oasis:entry>
         <oasis:entry colname="col5">8.7</oasis:entry>
         <oasis:entry colname="col6">97.2</oasis:entry>
         <oasis:entry colname="col7">2.8</oasis:entry>
         <oasis:entry colname="col8">91.1</oasis:entry>
         <oasis:entry colname="col9">8.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">March</oasis:entry>
         <oasis:entry colname="col2">65.2</oasis:entry>
         <oasis:entry colname="col3">34.8</oasis:entry>
         <oasis:entry colname="col4">85.0</oasis:entry>
         <oasis:entry colname="col5">15.0</oasis:entry>
         <oasis:entry colname="col6">92.5</oasis:entry>
         <oasis:entry colname="col7">7.5</oasis:entry>
         <oasis:entry colname="col8">87.7</oasis:entry>
         <oasis:entry colname="col9">12.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">April</oasis:entry>
         <oasis:entry colname="col2">53.5</oasis:entry>
         <oasis:entry colname="col3">46.5</oasis:entry>
         <oasis:entry colname="col4">84.3</oasis:entry>
         <oasis:entry colname="col5">15.7</oasis:entry>
         <oasis:entry colname="col6">69.2</oasis:entry>
         <oasis:entry colname="col7">30.8</oasis:entry>
         <oasis:entry colname="col8">83.4</oasis:entry>
         <oasis:entry colname="col9">16.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">May</oasis:entry>
         <oasis:entry colname="col2">86.6</oasis:entry>
         <oasis:entry colname="col3">13.4</oasis:entry>
         <oasis:entry colname="col4">81.5</oasis:entry>
         <oasis:entry colname="col5">18.5</oasis:entry>
         <oasis:entry colname="col6">62.9</oasis:entry>
         <oasis:entry colname="col7">37.1</oasis:entry>
         <oasis:entry colname="col8">72.8</oasis:entry>
         <oasis:entry colname="col9">27.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">June</oasis:entry>
         <oasis:entry colname="col2">59.3</oasis:entry>
         <oasis:entry colname="col3">40.7</oasis:entry>
         <oasis:entry colname="col4">81.5</oasis:entry>
         <oasis:entry colname="col5">18.5</oasis:entry>
         <oasis:entry colname="col6">37.0</oasis:entry>
         <oasis:entry colname="col7">63.0</oasis:entry>
         <oasis:entry colname="col8">35.9</oasis:entry>
         <oasis:entry colname="col9">64.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">July</oasis:entry>
         <oasis:entry colname="col2">50.8</oasis:entry>
         <oasis:entry colname="col3">49.2</oasis:entry>
         <oasis:entry colname="col4">72.3</oasis:entry>
         <oasis:entry colname="col5">27.7</oasis:entry>
         <oasis:entry colname="col6">40.0</oasis:entry>
         <oasis:entry colname="col7">60.0</oasis:entry>
         <oasis:entry colname="col8">61.7</oasis:entry>
         <oasis:entry colname="col9">38.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">August</oasis:entry>
         <oasis:entry colname="col2">54.3</oasis:entry>
         <oasis:entry colname="col3">45.7</oasis:entry>
         <oasis:entry colname="col4">72.9</oasis:entry>
         <oasis:entry colname="col5">27.1</oasis:entry>
         <oasis:entry colname="col6">61.9</oasis:entry>
         <oasis:entry colname="col7">38.1</oasis:entry>
         <oasis:entry colname="col8">81.4</oasis:entry>
         <oasis:entry colname="col9">18.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">September</oasis:entry>
         <oasis:entry colname="col2">65.4</oasis:entry>
         <oasis:entry colname="col3">34.6</oasis:entry>
         <oasis:entry colname="col4">79.5</oasis:entry>
         <oasis:entry colname="col5">20.5</oasis:entry>
         <oasis:entry colname="col6">61.5</oasis:entry>
         <oasis:entry colname="col7">38.5</oasis:entry>
         <oasis:entry colname="col8">92.5</oasis:entry>
         <oasis:entry colname="col9">7.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">October</oasis:entry>
         <oasis:entry colname="col2">72.0</oasis:entry>
         <oasis:entry colname="col3">28.0</oasis:entry>
         <oasis:entry colname="col4">90.4</oasis:entry>
         <oasis:entry colname="col5">9.6</oasis:entry>
         <oasis:entry colname="col6">88.9</oasis:entry>
         <oasis:entry colname="col7">11.1</oasis:entry>
         <oasis:entry colname="col8">94.4</oasis:entry>
         <oasis:entry colname="col9">5.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">November</oasis:entry>
         <oasis:entry colname="col2">73.6</oasis:entry>
         <oasis:entry colname="col3">26.4</oasis:entry>
         <oasis:entry colname="col4">95.4</oasis:entry>
         <oasis:entry colname="col5">4.6</oasis:entry>
         <oasis:entry colname="col6">88.7</oasis:entry>
         <oasis:entry colname="col7">11.3</oasis:entry>
         <oasis:entry colname="col8">92.3</oasis:entry>
         <oasis:entry colname="col9">7.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">December</oasis:entry>
         <oasis:entry colname="col2">89.1</oasis:entry>
         <oasis:entry colname="col3">9.9</oasis:entry>
         <oasis:entry colname="col4">94.6</oasis:entry>
         <oasis:entry colname="col5">5.4</oasis:entry>
         <oasis:entry colname="col6">97.7</oasis:entry>
         <oasis:entry colname="col7">2.3</oasis:entry>
         <oasis:entry colname="col8">98.2</oasis:entry>
         <oasis:entry colname="col9">1.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="FC1"><label>Figure C1</label><caption><p id="d2e5966">Time series of observed (coloured points) and gap-filled (grey points) evaporation in <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red). Note that the axes, with time on the <inline-formula><mml:math id="M203" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis and evaporation on the <inline-formula><mml:math id="M204" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis, are not aligned between four study sites.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f09.png"/>

      </fig>


</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>KMO-values in the factor analyses</title>

<table-wrap id="TD1"><label>Table D1</label><caption><p id="d2e6022">KMO-values in the factor analyses for each site, in the snow-free (top row) and snow-covered season (bottom row). </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hisåsen</oasis:entry>
         <oasis:entry colname="col3">Finse</oasis:entry>
         <oasis:entry colname="col4">Iškoras</oasis:entry>
         <oasis:entry colname="col5">Adventdalen</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Snow-free season</oasis:entry>
         <oasis:entry colname="col2">0.8</oasis:entry>
         <oasis:entry colname="col3">0.8</oasis:entry>
         <oasis:entry colname="col4">0.7</oasis:entry>
         <oasis:entry colname="col5">0.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Snow-covered season</oasis:entry>
         <oasis:entry colname="col2">0.7</oasis:entry>
         <oasis:entry colname="col3">0.6</oasis:entry>
         <oasis:entry colname="col4">0.7</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>

<app id="App1.Ch1.S5">
  <label>Appendix E</label><title>List of FLUXNET2015 sites used for comparison</title>

<table-wrap id="TE1"><label>Table E1</label><caption><p id="d2e6112">Sites in FLUXNET2015 selected for comparison. Selected sites are located at latitude above 60° N and have data licence CC-BY-4.0.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SITE ID</oasis:entry>
         <oasis:entry colname="col2">SITE NAME</oasis:entry>
         <oasis:entry colname="col3">LATITUDE</oasis:entry>
         <oasis:entry colname="col4">LONGITUDE</oasis:entry>
         <oasis:entry colname="col5">ELEVATION</oasis:entry>
         <oasis:entry colname="col6">IGBP</oasis:entry>
         <oasis:entry colname="col7">MAAT</oasis:entry>
         <oasis:entry colname="col8">MAP</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">FI-Hyy</oasis:entry>
         <oasis:entry colname="col2">Hyytiala</oasis:entry>
         <oasis:entry colname="col3">61.8474</oasis:entry>
         <oasis:entry colname="col4">24.2948</oasis:entry>
         <oasis:entry colname="col5">181</oasis:entry>
         <oasis:entry colname="col6">ENF</oasis:entry>
         <oasis:entry colname="col7">3.8</oasis:entry>
         <oasis:entry colname="col8">709</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FI-Jok</oasis:entry>
         <oasis:entry colname="col2">Jokioinen</oasis:entry>
         <oasis:entry colname="col3">60.8986</oasis:entry>
         <oasis:entry colname="col4">23.5134</oasis:entry>
         <oasis:entry colname="col5">109</oasis:entry>
         <oasis:entry colname="col6">CRO</oasis:entry>
         <oasis:entry colname="col7">4.6</oasis:entry>
         <oasis:entry colname="col8">627</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FI-Let</oasis:entry>
         <oasis:entry colname="col2">Lettosuo</oasis:entry>
         <oasis:entry colname="col3">60.6418</oasis:entry>
         <oasis:entry colname="col4">23.9595</oasis:entry>
         <oasis:entry colname="col5">111</oasis:entry>
         <oasis:entry colname="col6">ENF</oasis:entry>
         <oasis:entry colname="col7">4.6</oasis:entry>
         <oasis:entry colname="col8">627</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FI-Lom</oasis:entry>
         <oasis:entry colname="col2">Lompolojankka</oasis:entry>
         <oasis:entry colname="col3">67.9972</oasis:entry>
         <oasis:entry colname="col4">24.2092</oasis:entry>
         <oasis:entry colname="col5">274</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">484</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FI-Sod</oasis:entry>
         <oasis:entry colname="col2">Sodankyla</oasis:entry>
         <oasis:entry colname="col3">67.3624</oasis:entry>
         <oasis:entry colname="col4">26.6386</oasis:entry>
         <oasis:entry colname="col5">180</oasis:entry>
         <oasis:entry colname="col6">ENF</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">500</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL-NuF</oasis:entry>
         <oasis:entry colname="col2">Nuuk Fen</oasis:entry>
         <oasis:entry colname="col3">64.1308</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.3861</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">750</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL-ZaF</oasis:entry>
         <oasis:entry colname="col2">Zackenberg Fen</oasis:entry>
         <oasis:entry colname="col3">74.4814</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.5545</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">211</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GL-ZaH</oasis:entry>
         <oasis:entry colname="col2">Zackenberg Heath</oasis:entry>
         <oasis:entry colname="col3">74.4733</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20.5503</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">GRA</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">211</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RU-Che</oasis:entry>
         <oasis:entry colname="col2">Cherski</oasis:entry>
         <oasis:entry colname="col3">68.613</oasis:entry>
         <oasis:entry colname="col4">161.3414</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">197</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RU-Cok</oasis:entry>
         <oasis:entry colname="col2">Chokurdakh</oasis:entry>
         <oasis:entry colname="col3">70.8291</oasis:entry>
         <oasis:entry colname="col4">147.4943</oasis:entry>
         <oasis:entry colname="col5">48</oasis:entry>
         <oasis:entry colname="col6">OSH</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">232</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SJ-Blv</oasis:entry>
         <oasis:entry colname="col2">Bayelva, Spitsbergen</oasis:entry>
         <oasis:entry colname="col3">78.9216</oasis:entry>
         <oasis:entry colname="col4">11.8311</oasis:entry>
         <oasis:entry colname="col5">25</oasis:entry>
         <oasis:entry colname="col6">SNO</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">400</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">US-Atq</oasis:entry>
         <oasis:entry colname="col2">Atqasuk</oasis:entry>
         <oasis:entry colname="col3">70.4696</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">157.4089</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">93</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">US-Ivo</oasis:entry>
         <oasis:entry colname="col2">Ivotuk</oasis:entry>
         <oasis:entry colname="col3">68.4865</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">155.7503</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">568</oasis:entry>
         <oasis:entry colname="col6">WET</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.28</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">304</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">US-Prr</oasis:entry>
         <oasis:entry colname="col2">Poker Flat Research</oasis:entry>
         <oasis:entry colname="col3">65.1237</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">147.4876</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">210</oasis:entry>
         <oasis:entry colname="col6">ENF</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">275</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Range Black Spruce Forest</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>

<app id="App1.Ch1.S6">
  <label>Appendix F</label><title>Supporting figures</title>

      <fig id="FF1"><label>Figure F1</label><caption><p id="d2e6735">Energy balance closure in the snow-free season for Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red). The energy balance is estimated from the slope of the linear regression of the sum of latent and sensible heat on the <inline-formula><mml:math id="M222" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis against available energy (difference between net radiation and soil heat flux) on the <inline-formula><mml:math id="M223" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f10.png"/>

      </fig>

      <fig id="FF2"><label>Figure F2</label><caption><p id="d2e6762">Energy balance closure (whole year) for Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red). The energy balance is estimated from the slope of the linear regression of the sum of latent and sensible heat on the <inline-formula><mml:math id="M224" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis against available energy (difference between net radiation and soil heat flux) on the <inline-formula><mml:math id="M225" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f11.png"/>

      </fig>

<fig id="FF3"><label>Figure F3</label><caption><p id="d2e6791">Factor loadings of first and second factor in the snow-free season, for each of the variables in the dataset. In each subplot the points represent results from Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red).</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f12.png"/>

      </fig>

<fig id="FF4"><label>Figure F4</label><caption><p id="d2e6805">Factor loadings of first and second factor in the snow-covered season, for each of the variables in the dataset. In each subplot the points represent results from Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red).</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f13.png"/>

      </fig>

<fig id="FF5"><label>Figure F5</label><caption><p id="d2e6819">Sensitivity of observed (coloured) and modelled (grey) evaporation (upper row) and the relative error (lower row) to volumetric soil water content.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f14.png"/>

      </fig>

      <fig id="FF6"><label>Figure F6</label><caption><p id="d2e6833">Sensitivity of observed (coloured) and modelled (grey) evaporation (upper row) and the relative error (lower row) to time since rain.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f15.png"/>

      </fig>

<fig id="FF7"><label>Figure F7</label><caption><p id="d2e6847">Sensitivity of observed  (coloured) and modelled (grey) evaporation (upper row) and the relative error (lower row) to growing degree day.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f16.png"/>

      </fig>

      <fig id="FF8"><label>Figure F8</label><caption><p id="d2e6860">Sensitivity of Bowen ratio to vapour pressure deficit. The coloured areas show the mean (<inline-formula><mml:math id="M226" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> standard deviation) midday Bowen ratio (grey dots) for 20 bins of vapour pressure deficit.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f17.png"/>

      </fig>

<fig id="FF9"><label>Figure F9</label><caption><p id="d2e6882">Sensitivity of Bowen ratio to volumetric soil moisture content. The coloured areas show the mean (<inline-formula><mml:math id="M227" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> standard deviation) midday Bowen ratio (grey dots) for 20 bins of volumetric soil moisture content.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f18.png"/>

      </fig>

      <fig id="FF10"><label>Figure F10</label><caption><p id="d2e6902">Scatter plot of time since rain (in hours) on <inline-formula><mml:math id="M228" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis against soil water content in the snow-free season (in <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) on <inline-formula><mml:math id="M230" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis, for Hisåsen in green, Finse in blue and Iskoras in orange. The shade of each colour (as represented by the colour bars) shows days since the start of the snow-free season, where lighter colours represent early snow-free season and darker colours represent late snow-free season.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f19.png"/>

      </fig>

<fig id="FF11"><label>Figure F11</label><caption><p id="d2e6950">Distribution of daily evaporation (upper row, in <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), net radiation (middle row, in <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml: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>) and vapour pressure deficit (lower row, in <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>) at Hisåsen. For each month, the box plot represents median, 25- and 75 quantiles, and whiskers represent minimum and maximum values. The mean is represented by a white dot. Daily values are cumulations for evaporation and net radiation, and daily mean for vapour pressure deficit.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f20.png"/>

      </fig>

<fig id="FF12"><label>Figure F12</label><caption><p id="d2e7016">Distribution of daily evaporation (upper row, in <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), net radiation (middle row, in <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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>) and vapour pressure deficit (lower row, in <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>) at Finse. For each month, the box plot represents median, 25- and 75 quantiles, and whiskers represent minimum and maximum values. The mean is represented by a white dot. Daily values are cumulations for evaporation and net radiation, and daily mean for vapour pressure deficit.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f21.png"/>

      </fig>

<fig id="FF13"><label>Figure F13</label><caption><p id="d2e7081">Distribution of daily evaporation (upper row, in <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), net radiation (middle row, in <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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> and vapour pressure deficit (lower row, in <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>) at Iškoras. For each month, the box plot represents median, 25- and 75 quantiles, and whiskers represent minimum and maximum values. The mean is represented by a white dot. Daily values are cumulations for evaporation and net radiation, and daily mean for vapour pressure deficit.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f22.png"/>

      </fig>

<fig id="FF14"><label>Figure F14</label><caption><p id="d2e7146">Distribution of daily evaporation (upper row, <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), net radiation (middle row, in <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml: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>) and vapour pressure deficit (lower row, in <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kPa</mml:mi></mml:mrow></mml:math></inline-formula>) at Adventdalen. For each month, the box plot represents median, 25- and 75 quantiles, and whiskers represent minimum and maximum values. The mean is represented by a white dot. Daily values are cumulations for evaporation and net radiation, and daily mean for vapour pressure deficit.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f23.png"/>

      </fig>

<fig id="FF15"><label>Figure F15</label><caption><p id="d2e7212">Annual evaporation of selected FLUXNET2015 sites above 60° N latitude (evergreen needle-leaf forest in dark grey, wetlands in black and other ecosystem types in light grey) compared to the study sites Hisåsen (green), Finse (blue), Iškoras (orange) and Adventdalen (red). The annual evaporation (in <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>) on the <inline-formula><mml:math id="M244" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis is plotted against annual mean temperature (in °C), averaged over measured years, on the <inline-formula><mml:math id="M245" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis. The bars represent minimum and maximum values of years in measurement periods, while the intersect represent the mean. The dashed line shows the linear regression line of annual mean temperature and annual evaporation. The regression slope was not significant at <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f24.png"/>

      </fig>

      <fig id="FF16"><label>Figure F16</label><caption><p id="d2e7259">Model estimates of snow water equivalent (SWE), in <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, for each year of the respective measurement periods of  Hisåsen in green, Finse in blue and Iškoras in orange. Model estimates for Adventdalen was not available. The data is downloaded from the seNorge website (<uri>http://www.senorge.no</uri>, last access: 26 January 2026), and is published under Norwegian Licence for Open Government Data (NLOD). Details on the SeNorge snow model can be found in <xref ref-type="bibr" rid="bib1.bibx46" id="text.76"/>.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5245/2026/hess-30-5245-2026-f25.png"/>

      </fig>

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

      <p id="d2e7288">Python scripts for analysis and plotting are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.21835190" ext-link-type="DOI">10.5281/zenodo.21835190</ext-link> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.77"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e7300">The gap-filled time series of evaporation and local meteorological variables are available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.10044324" ext-link-type="DOI">10.5281/zenodo.10044324</ext-link> <xref ref-type="bibr" rid="bib1.bibx54" id="paren.78"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7312">Conceptualization: AV, KE, NP, LMT, AVV; Data curation: AV, NP; Formal analysis: AV; Funding acquisition: LMT, NP; Writing – original draft preparation: AV; Writing – review and editing: AV, KE, NP, LMT, AVV.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7320">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7326">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="d2e7332">This work is a contribution to the strategic research initiative LATICE (Faculty of Mathematics and Natural Sciences, University of Oslo, Project #UiO/GEO103920). We thank Anders Bryn and Peter Horvath at the Natural History Museum, University of Oslo, Norway, for kindly sharing their findings after performing vegetation mapping analyses in the footprints of the three mainland towers. We thank Poul Larsen and his team from DMR for operating the Hisåsen site.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7338">This research has been supported by the Research Council of Norway (project no. 301552 (Spot-On) and project no. 294948 (EMERALD)) and the European Research Council (project no. 101116083 (ACTIVATE)).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7344">This paper was edited by Genevieve Ali and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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