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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-16-3755-2024</article-id><title-group><article-title>First comprehensive stable isotope dataset of diverse water units in a permafrost-dominated catchment on the Qinghai–Tibet Plateau</article-title><alt-title>Diverse water units in a permafrost-dominated catchment on the QTP</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Yang</surname><given-names>Yuzhong</given-names></name>
          <email>yangyuzhong08@lzb.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wu</surname><given-names>Qingbai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3">
          <name><surname>Guo</surname><given-names>Xiaoyan</given-names></name>
          <email>guoxy2012@lzb.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhou</surname><given-names>Lu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yao</surname><given-names>Helin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zhang</surname><given-names>Dandan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhang</surname><given-names>Zhongqiong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Ji</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Liu</surname><given-names>Guojun</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Cryospheric Science and Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Qinghai–Beiluhe Plateau Frozen Soil Engineering Safety National Observation and Research Station, Lanzhou, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Key Laboratory of Ecological Safety and Sustainable Development in Arid Lands, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>College of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yuzhong Yang (yangyuzhong08@lzb.ac.cn) and Xiaoyan Guo (guoxy2012@lzb.ac.cn)</corresp></author-notes><pub-date><day>23</day><month>August</month><year>2024</year></pub-date>
      
      <volume>16</volume>
      <issue>8</issue>
      <fpage>3755</fpage><lpage>3770</lpage>
      <history>
        <date date-type="received"><day>8</day><month>February</month><year>2024</year></date>
           <date date-type="rev-request"><day>21</day><month>March</month><year>2024</year></date>
           <date date-type="rev-recd"><day>27</day><month>May</month><year>2024</year></date>
           <date date-type="accepted"><day>27</day><month>June</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 Yuzhong Yang et al.</copyright-statement>
        <copyright-year>2024</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://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024.html">This article is available from https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e176">Considered the Asian water tower, the Qinghai–Tibet Plateau (QTP) processes substantial permafrost, and its hydrological environments are spatially different and can be easily disturbed by changing permafrost and melting ground ice. Permafrost degradation compels melting permafrost to become an important source of surface runoff, changes the storage of groundwater, and greatly influences the hydrological processes in permafrost regions. However, the evidence linking permafrost degradation and hydrological processes on the QTP is lacking, which increases the uncertainties in the evaluation of the results of changing permafrost on the water resources. Stable isotopes offer valuable information on the connections between changing permafrost (ground ice) and water components. It is therefore particularly important to observe the changes in the stable isotopes of different waterbodies which can vary over hourly to annual timescales and truly capture the thawing signals and reflect the influence of permafrost (ground ice) on the regional hydrological processes. The Beiluhe Basin (BLH) in the hinterland of the QTP was selected; it integrates all the water components related to hydrological cycles well and is an ideal site to study the hydrological effect of permafrost change. This paper presents the temporal data of stable isotopes (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, and <inline-formula><mml:math id="M3" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess) in different waterbodies (precipitation, stream water, thermokarst lake, and groundwater) in the BLH produced between 2017 and 2022. Here, the first detailed stable isotope data of ground ice at 17 boreholes and 2 thaw slumps are presented. A detailed description of the sampling processes, sample pretreating processes, and isotopic data quality control is given. The data first described the full seasonal isotope amplitude in the precipitation, stream, and thermokarst lakes and delineated the depth isotopic variability in ground ice. In total, 554 precipitation samples, 2402 lake/pond samples, 675 stream water samples, 102 supra-permafrost water samples, and 19 sub-permafrost water samples were collected during 6 years of continuous sampling work. Importantly, 359 ground ice samples at different depths from 17 boreholes and 2 profiles were collected. This first dataset provides a new basis for understanding the hydrological effects of permafrost degradation on the QTP. It also provides support for the cryospheric study on the Northern Hemisphere. The dataset provided in this paper can be obtained at <ext-link xlink:href="https://doi.org/10.5281/zenodo.10684110" ext-link-type="DOI">10.5281/zenodo.10684110</ext-link> (Yang, 2024).</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Key Research Program of Frontier Science, Chinese Academy of Sciences</funding-source>
<award-id>ZDBS–LY–DQC026</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>41871062</award-id>
<award-id>42177073</award-id>
</award-group>
<award-group id="gs3">
<funding-source>State Key Laboratory of Frozen Soil Engineering</funding-source>
<award-id>SKLFSE-ZT-202118</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="d1e216">Recognized as the main component of cryosphere, permafrost plays critical roles in climate change, the evolution of the ecosystem, the water cycle, and human activities (Brown et al., 1997). Throughout the past several decades, the thermal stability of permafrost has suffered serious threats (Cheng et al., 2019; Douglas et al., 2021; Biskaborn et al., 2019) caused by continuous global warming (Shukla et al., 2019). The latest Intergovernmental Panel on Climate Change (IPCC) report indicates that up to 24 %–69 % of permafrost will disappear by 2100 (Shukla et al., 2019). Warming and thawing of permafrost and an overall reduction in the ice content have been predicted under future climate change scenarios (Shukla et al., 2019). Dramatic permafrost degradation and ground ice melting has changed the regional hydrological processes (Yang et al., 2011; Quinton and Baltzer, 2013; Rogger et al., 2017), enhanced the hydraulic connections (Connon et al., 2014; Cheng and Jin, 2013; Zhang et al., 2013), and compelled ground ice to become an important source of surface runoff and lakes (Yang et al., 2019; Zhang et al., 2005; Lawrence and Slater, 2005). Accordingly, clarifying the influence of degrading permafrost on the ecohydrology and water resources is of great significance to the protection of the eco-environment and the effective utilization of fresh water in permafrost regions in the world.</p>
      <p id="d1e219">The Qinghai–Tibet Plateau (QTP) is known as the Asia Water Tower, which is considered the headwater region of many large rivers in Asia (Immerzeel et al., 2010). As the world's largest high-altitude permafrost region (Cheng et al., 2019), the QTP contains as many as <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.06</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:math></inline-formula> km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of permafrost and 12 700 km<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> of ground ice (Cheng et al., 2019). The extensive development of permafrost and substantial reserves of ground ice has played critical roles in climate change, ecosystem transition, water resources, the carbon budget, and the infrastructure of the QTP (Zhao et al., 2020; F. Liu et al., 2022;  L. Liu et al., 2022). Accordingly, the QTP has been becoming a topical region for scientists from different research fields (Wang et al., 2006; Yang et al., 2019; Zhao et al., 2021). The QTP has been experiencing severe warming over the past 50 years (Yao et al., 2013; Ran et al., 2022; Kuang and Jiao, 2016), leading to accelerated permafrost degradation (Wu and Zhang, 2010; Zhao et al., 2021) and thus greatly affecting the plateau water–eco-environment–carbon cycle systems (T. Wang et al., 2023; Yi et al., 2014; F. Liu et al., 2022).</p>
      <p id="d1e255">So far, due to the harsh climate conditions, inconvenient transportation, and the high experimental costs of site-specific field data, there has been a lack of comprehensive research on the different waterbodies in permafrost regions over a long time period on the QTP, making it challenging to study the water cycle and hydrological processes associated with changing permafrost. In addition, traditional methods (e.g., modeling or the GRACE satellite technique) are thus difficult for delineating the processes of the ice–water transition truly and comprehensively, thus greatly increasing the uncertainties in evaluation results about the impacts of permafrost degradation on the hydrological processes (Guo et al., 2017). Hydrogen and oxygen stable isotopes (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) are widely existing natural tracers which are considered to be ideal tools to identify the spatiotemporal patterns of precipitation–river–lake–groundwater systems (Knapp et al., 2019; Narancic et al., 2017; Vystavna et al., 2021) and therefore to delineate hydrological connectivity under degrading permafrost (Wang et al., 2022; Streletskiy et al., 2015; Yang et al., 2019). Furthermore, the stable isotopes can document the signals of ice–water phase transition and freezing history well, making them able to provide a convenient means for investigating the ground ice evolution (Michel, 2011; Lacelle et al., 2014; Porter et al., 2019) in permafrost.</p>
      <p id="d1e276">Accordingly, continued observations of the stable isotope data, required to understand the changes in the hydrological processes and water vapor cycles linked with permafrost degradation and ground ice melt, are therefore of great importance. However, the acquisition of long time series stable isotopic data in a permafrost-dominated catchment on the QTP is challenging, especially as the stable isotope records of thermokarst lakes/ponds and ground ice on the QTP are extremely scarce. This greatly limits a deep understanding of the hydrological processes under thawing permafrost.</p>
      <p id="d1e280">In this paper, we provide information on the study site and full documentation of the water components in a typical permafrost watershed (Beiluhe Basin, BLH) on the QTP. The datasets presented here, including the stable isotopes of daily precipitation, monthly isotope data of surface waters (stream and thermokarst lakes/ponds) and groundwater, and ground ice within 20 m depth, will be of great value for tracking water vapor cycles, for capturing the signals of permafrost thawing, and for delineating the hydrological routines of permafrost meltwater, as well as for continuing baseline studies for future permafrost degradation trend analysis and water resource evaluations on the QTP. Special emphasis is given to the critical role of the BLH for research in the hinterland of QTP to diagnose the effect of thawing permafrost.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study area</title>
      <p id="d1e291">A typical permafrost catchment, namely the Beiluhe Basin (BLH; Fig. 1), was selected to comprehensively observe the hydrological processes under changing permafrost. The BLH is situated in the interior of the QTP with elevations of 4500 to 4600 m.s.l. It is considered a core region of the Hoh Xil Nature Reserve region and provides the best habitats for wild animals on the QTP. The BLH is also identified as one of the most fragile and sensitive ecosystems in the world due to the diversities in the ecosystems, which include swamp meadow, alpine meadow, degrading alpine meadow, alpine steppe, desert alpine grassland, and sparse grassland (Yin et al., 2017). According to the meteorological station of the BLH, between 2017 and 2022 the annual mean air temperature ranged between <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.57</mml:mn></mml:mrow></mml:math></inline-formula> °C (2019) and <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.43</mml:mn></mml:mrow></mml:math></inline-formula> °C (2022), the annual precipitation ranged between 394 mm (2020) and 556 mm (2018), and the duration of negative air temperature exceeds 200 d.</p>
      <p id="d1e314">The BLH is closely connected with the source area of the Yangtze River (i.e., the Tuotuo He River) and is characterized by a complex hydrological system of streams (Yang et al., 2017), thermokarst lakes (Yang et al., 2016; Niu et al., 2011), groundwater (springs), and abundant ground ice (Yang et al., 2013, 2016). Thermokarst lakes are widely distributed in the basin, with a total lake number of more than 1200 (Luo et al., 2015) and which are showing a gradually increasing trend. In addition, controlled by the piedmont faults of the Gushan Mountain (Fig. 1) in the BLH, the natural springs are extensively exposed on the ground, and these are the main sources of small streams. The connectivity of lakes, streams, groundwater, and melting water from permafrost plays an important role in how ecological and hydrological systems are propagated in this basin.</p>
      <p id="d1e317">The BLH is located in the zone of continuous ice-rich permafrost in the Changtang Basin. The permafrost thickness is approximately 20–80 m. The mean annual ground temperature (MAGT) at 15 m depth ranges from <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> °C, and the active layer thickness is 1.6–3.4 m (Wu et al., 2015). Ground ice is abundant in this region, and as much as 70 % of this area has a volumetric ice content (VIC) higher than 30 % (Luo et al., 2015). Most of the ground ice in the BLH is identified as excess ice (Niu et al., 2002) which could melt out to recharge supra-permafrost water (springs) or even surface water (Yang et al., 2016). Accordingly, the BLH is a natural laboratory in which to conduct field hydrological observations, and the observation data can facilitate the development of human infrastructure and the ecological restoration of QTP.</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d1e343"><bold>(a)</bold> Location of the Beiluhe Basin on the QTP. <bold>(b)</bold> Distribution of our study area in the Beiluhe Basin. <bold>(c)</bold> The specific sampling sites of different water components in the BLH. Supra-PW denotes the supra-permafrost water.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>General design of the monitoring network</title>
      <p id="d1e368">From 2017 to 2022, we set up sampling sites of precipitation, stream, thermokarst lake/pond, groundwater (including supra-permafrost water and sub-permafrost water), and ground ice in the BLH (Fig. 1). The precipitation stable isotope sampling site was set up at the BLH frozen soil station (Fig. 1). A rain gauge was installed to collect daily rain, and a steel plate was put on the roof to obtain enough snow samples. In addition, we selected a typical small stream (defined as the Gushan Mountain stream, GMS) in the BLH which originates from four natural springs in foothills of the Gushan Mountain (Figs. 2, S1). This stream is 4.8 km in length. The vegetation along this stream is mainly composed of deserted steppe. A total of 25 fixed points along the stream were selected to collect water samples during the ice-free seasons between June and October. Furthermore, a typical thermokarst lake belt located in the southwestern part of the BLH station on the QTP was selected to observe the lake water balance (Fig. 1). For the groundwater observation, we selected two areas with substantial naturally opening springs occurring, i.e., springs along both sides of the observation stream (named GSHQ) and a spring in the source area of this stream (named GSYTQ) (Figs. 1, 2). Given the intermittent occurrence of these springs among different years and their unstable isotopic signals, we identified them as supra-permafrost water. In addition, a perennial spring (CSQ; Fig. 1) for the domestic water supply behind the BLH station (Fig. 1), with its aquifer depth (reaching 92 m) being deeper than the permafrost thickness (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> m) in the BLH, is selected to conduct continuous sampling work. With regard to the small fluctuations in water levels throughout the year and little interannual differences in the stable isotopes of spring, we identified it as the observation site of sub-permafrost water. In order to detect the permafrost changes and clarify the characteristics of ground ice conditions, 17 boreholes (20 m depth) were drilled in the BLH (Fig. 1). All visible ice samples were collected in the field.</p>
      <p id="d1e381">Meanwhile, an auto-meteorological station has been set up in the center of the BLH since 2005. Air temperature is measured using a solar radiation shield 2.0 m above the ground surface. The precipitation amount from the nearby meteorological station was measured using a T200B rain/snow gauge (Geonor AS, Norway), and data were recorded every 30 min. The meteorological data have a high quality and continuity with very limited missing data due to regular maintenance by Beiluhe frozen soil station.</p>

<table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d1e387">Location information of the sampling sites in the Beiluhe Basin.</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="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Sampling sites</oasis:entry>
         <oasis:entry colname="col2">Precipitation</oasis:entry>
         <oasis:entry colname="col3">Stream</oasis:entry>
         <oasis:entry colname="col4">Thermokarst lakes/ponds</oasis:entry>
         <oasis:entry colname="col5">Springs</oasis:entry>
         <oasis:entry colname="col6">Ground ice</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Latitude</oasis:entry>
         <oasis:entry colname="col2">34.83° N</oasis:entry>
         <oasis:entry colname="col3">34.82–34.84° N</oasis:entry>
         <oasis:entry colname="col4">34.82–34.83° N</oasis:entry>
         <oasis:entry colname="col5">34.83–34.84° N</oasis:entry>
         <oasis:entry colname="col6">34.82–34.83° N</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longitude</oasis:entry>
         <oasis:entry colname="col2">92.94° E</oasis:entry>
         <oasis:entry colname="col3">92.92–92.93° E</oasis:entry>
         <oasis:entry colname="col4">92.89–92.93 E</oasis:entry>
         <oasis:entry colname="col5">92.92–92.93° E</oasis:entry>
         <oasis:entry colname="col6">92.93–92.89° E</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Altitude</oasis:entry>
         <oasis:entry colname="col2">4628 m</oasis:entry>
         <oasis:entry colname="col3">4668–4697 m</oasis:entry>
         <oasis:entry colname="col4">4704–4752 m</oasis:entry>
         <oasis:entry colname="col5">4752–4771 m</oasis:entry>
         <oasis:entry colname="col6">4629–4691 m</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Sample collection and processing</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Sampling and preservation</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Precipitation sampling work</title>
      <p id="d1e524">According to the International Atomic Energy Agency/Global Network of Isotopes in Precipitation (IAEA/GNIP) precipitation sampling guide, a precipitation collector was manually constructed in an open area near the BLH meteorological station. To avoid the contamination of water vapor from the evaporation of shallow soil and surface water and the mixing of windblown snow, this collector was installed 2 m above the ground. We define 1 complete precipitation day as beginning at 20:00 UTC+8 on 1 d and ending at 20:00 on the next day; then, one sample was collected. All the rainfall samples were immediately collected after the end of the precipitation to minimize the effects of evaporation. Hail and snow samples were filled in pre-cleaned plastic bags, the air was pressed out from the bags and sealed to avoid the water vapor exchange, and all samples in sealed bags were melted at room temperature (25 °C). In order to clarify the changes comprehensively and accurately in the precipitation isotopes in the BLH, we tried to collect all samples during every precipitation event, including light rain and short time events (usually with precipitation amounts of less than 5 mm). Accordingly, a wide-mouth stainless-steel plate (400 mm <inline-formula><mml:math id="M14" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 600 mm) was used to collect enough samples of light rain and short time rain/snow events for analysis.</p>
      <p id="d1e534">Regarding preserving samples, 100 mL high-density polyethylene (HDPE) bottles were used. Before the sampling, the bottles were washed three times with rainwater and then rapidly filled. In total, 554 precipitation samples were collected, including 224 rain samples, 203 snow samples, 85 hail samples, and 42 sleet samples.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Stream, thermokarst lakes/ponds, and groundwater sampling</title>
      <p id="d1e545">Samples of thermokarst lakes/ponds (Fig. 2) were collected by hand using a self-made water sample collector at monthly intervals during ice-free seasons (between May and October) from 2017 to 2022 in the BLH (Fig. 1). During the observation periods, the occurrence numbers of thermokarst lakes dynamically changed among different sampling years (Table 2) due to the interannual variations in the precipitation, active layer thickness, supra-permafrost water, and near-surface ground ice. Some of the sampled lakes disappeared in the next sampling year, and additional new lakes emerged. Accordingly, we obtained sufficient lake water samples to constrain the seasonal changes in the lake water hydrology and try to clarify the influence of permafrost and climate on the water balance of thermokarst lakes in this region. Influenced by the COVID-19 pandemic and lockdown policies between August 2022 and December 2022 in China, only 2 months of sampling work (June and July) were conducted in 2022. Lake water samples were taken at the center of lakes from 20–40 cm below the water surface. The running water samples of stream water samples were collected at each fixed point 20–30 cm beneath the water surface. In addition, the supra-permafrost water and sub-permafrost water were randomly collected using an artificial water ladle at the location where the springs gushing out during each fieldwork. The water ladle was washed using the spring water before sampling.</p>
      <p id="d1e548">In total, as many as 2402 thermokarst lake/pond samples, 675 stream water samples (Table 2), 102 supra-permafrost water samples, and 19 sub-permafrost water samples were collected during 6 years of continuous sampling work.</p>

      <fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d1e553"><bold>(a)</bold> General conditions of Gushan Mountain stream (GMS) and the distribution of springs. <bold>(b)</bold> Typical features of one spring gushing out from sand sediment. <bold>(c)</bold> Overview of the GMS. <bold>(d)</bold> Sampling thermokarst lakes in the BLH.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f02.jpg"/>

          </fig>

<table-wrap id="Ch1.T2"><label>Table 2</label><caption><p id="d1e577">Sampling descriptions of surface water in the BLH.</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="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry namest="col1" nameend="col2">Sampling information </oasis:entry>

         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Number of samples </oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Thermokarst lake/pond</oasis:entry>

         <oasis:entry colname="col4">Stream</oasis:entry>

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

         <oasis:entry rowsep="1" colname="col1" morerows="27">Sampling date</oasis:entry>

         <oasis:entry colname="col2">17 Jun</oasis:entry>

         <oasis:entry colname="col3">23</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">17 Jul</oasis:entry>

         <oasis:entry colname="col3">76</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">17 Aug</oasis:entry>

         <oasis:entry colname="col3">74</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">17 Sep</oasis:entry>

         <oasis:entry colname="col3">99</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">17 Oct</oasis:entry>

         <oasis:entry colname="col3">72</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 May</oasis:entry>

         <oasis:entry colname="col3">74</oasis:entry>

         <oasis:entry colname="col4">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 Jun</oasis:entry>

         <oasis:entry colname="col3">14</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 Jul</oasis:entry>

         <oasis:entry colname="col3">45</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 Aug</oasis:entry>

         <oasis:entry colname="col3">110</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 Sep</oasis:entry>

         <oasis:entry colname="col3">93</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">18 Oct</oasis:entry>

         <oasis:entry colname="col3">106</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 May</oasis:entry>

         <oasis:entry colname="col3">80</oasis:entry>

         <oasis:entry colname="col4">NA</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 Jun</oasis:entry>

         <oasis:entry colname="col3">115</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 Jul</oasis:entry>

         <oasis:entry colname="col3">134</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 Aug</oasis:entry>

         <oasis:entry colname="col3">87</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 Sep</oasis:entry>

         <oasis:entry colname="col3">85</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">19 Oct</oasis:entry>

         <oasis:entry colname="col3">110</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">20 Jun</oasis:entry>

         <oasis:entry colname="col3">86</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">20 Jul</oasis:entry>

         <oasis:entry colname="col3">124</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">20 Aug</oasis:entry>

         <oasis:entry colname="col3">116</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">20 Sep</oasis:entry>

         <oasis:entry colname="col3">93</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">21 May</oasis:entry>

         <oasis:entry colname="col3">73</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">21 Jun</oasis:entry>

         <oasis:entry colname="col3">70</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">21 Jul</oasis:entry>

         <oasis:entry colname="col3">100</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">21 Aug</oasis:entry>

         <oasis:entry colname="col3">100</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">21 Sep</oasis:entry>

         <oasis:entry colname="col3">94</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">22 Jun</oasis:entry>

         <oasis:entry colname="col3">75</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

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

         <oasis:entry colname="col2">22 Jul</oasis:entry>

         <oasis:entry colname="col3">74</oasis:entry>

         <oasis:entry colname="col4">25</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry namest="col1" nameend="col2">Total sample size </oasis:entry>

         <oasis:entry colname="col3">2402</oasis:entry>

         <oasis:entry colname="col4">675</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e580">NA: not available</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>Ground ice sampling</title>
      <p id="d1e988">To clarify the characteristics of ground ice and its role in the local hydrological cycles and regional eco-environment, we have designed 17 boreholes (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> m depth) in the BLH (Fig. 1). A total of 12 boreholes was drilled near the Qinghai–Tibet Highway (QTH) in 2014, and 5 boreholes were distributed in the center of BLH, which were drilled between 2011 and 2021. In addition, two thaw slumps were dug (Fig. 1). Frozen soil cores were extracted from different depths using a mechanical drilling rig with a drilling diameter of 157 mm (Fig. 3). All visible ground ice samples were collected immediately after the core barrel was pulled out. During the sampling work, disposable PE gloves were used, and the exterior of each sample was removed to avoid contamination from mud and the surplus water in the borehole. In total, 355 ground ice samples were collected from 17 boreholes, and 4 samples were obtained from 2 profiles (Fig. 3; Table 3).</p>

      <fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d1e1003">Field permafrost drilling work and various types of ground ice obtained during drilling.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f03.jpg"/>

          </fig>

<table-wrap id="Ch1.T3" specific-use="star"><label>Table 3</label><caption><p id="d1e1015">Borehole drilling and ground ice sampling information in the BLH.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Borehole name</oasis:entry>
         <oasis:entry colname="col2">Drilling time</oasis:entry>
         <oasis:entry colname="col3">Depth range of ice sampling (m)</oasis:entry>
         <oasis:entry colname="col4">Ground ice types</oasis:entry>
         <oasis:entry colname="col5">Sample no.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-1</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">4.8–14.9</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-2</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.7–14.3</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-3</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.9–14.8</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-4</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.55–14.2</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">34</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-5</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.3–14.0</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-6</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.6–14.3</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-1</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">3.0–12.9</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-2</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">1.9–14.9</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-3</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">1.25–8.1</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-4</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">1.8–11.9</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">32</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-5</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">1.7–13.8</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-6</oasis:entry>
         <oasis:entry colname="col2">Aug 2014</oasis:entry>
         <oasis:entry colname="col3">2.1–14.6</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DZK</oasis:entry>
         <oasis:entry colname="col2">Aug 2012</oasis:entry>
         <oasis:entry colname="col3">0.0–20.55</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-1</oasis:entry>
         <oasis:entry colname="col2">Aug 2011</oasis:entry>
         <oasis:entry colname="col3">12.4–17.4</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/pure ice layer</oasis:entry>
         <oasis:entry colname="col5">28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-2</oasis:entry>
         <oasis:entry colname="col2">Aug 2011</oasis:entry>
         <oasis:entry colname="col3">3.0–7.2</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-3</oasis:entry>
         <oasis:entry colname="col2">Aug 2011</oasis:entry>
         <oasis:entry colname="col3">2.6–12.8</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-4</oasis:entry>
         <oasis:entry colname="col2">Aug 2011</oasis:entry>
         <oasis:entry colname="col3">2.2–5.5</oasis:entry>
         <oasis:entry colname="col4">Pore ice/segregated ice/excess ice</oasis:entry>
         <oasis:entry colname="col5">17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Z</oasis:entry>
         <oasis:entry colname="col2">Oct 2021</oasis:entry>
         <oasis:entry colname="col3">2.0–3.0</oasis:entry>
         <oasis:entry colname="col4">Thaw slump ice</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FBX</oasis:entry>
         <oasis:entry colname="col2">Oct 2021</oasis:entry>
         <oasis:entry colname="col3">2.0–3.0</oasis:entry>
         <oasis:entry colname="col4">Thaw slump ice</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <label>4.1.4</label><title>Sample storage</title>
      <p id="d1e1411"><italic>Liquid water storage.</italic> All the samples were transferred to 100 mL high-density polyethylene (HDPE) bottles. The sample bottles were filled up without bubbles and sealed with Parafilm. The collection date of the sample types (precipitation, lake water, stream water, and groundwater) was added to the bottle label. For the precipitation samples, the precipitation types (rain, snow, and hail) were recorded. All of the samples were stored at 4 °C and shipped to the State Key Laboratory of Frozen Soil Engineering (SKLFSE) at the Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences (CAS), China.</p>
      <p id="d1e1416"><italic>Ground ice storage.</italic> All the treated raw frozen soil samples were immediately preserved in HDPE bottles. The massive ice and pure ice layers were sealed in pre-cleaned plastic bags. The depths and drilling site information were recorded. All of the frozen soil and ground ice samples were kept frozen at <inline-formula><mml:math id="M16" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4 °C in the field to avoid the sublimation of the ice and the evaporation of the water in the soil.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Sample pretreatment and stable isotope analysis</title>
      <p id="d1e1437">Before analyzing, each liquid sample was pretreated to remove the impurities through 0.22 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> disposable membrane filters. The frozen soil samples and pure ground ice samples were allowed to completely melt at 4 °C in sealed plastic bags. The supernatant water from thawed soil and meltwater from ground ice were also filtered through a 0.22 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> membrane. The processed liquid water samples were filled in a 2 mL analytical vial and were stored in a cold room (4 °C) in the dark for the stable isotopes (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) analysis within 1 week.</p>
      <p id="d1e1478">The <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D ratios were measured at SKLFSE using an isotopic liquid water and water vapor analyzer (Picarro L2130-i, USA) based on the wavelength-scanned cavity ring-down spectroscopy technique. The guaranteed instrument precision was 0.025 ‰ for the <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value measurements and 0.1 ‰ for the <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D value measurements. The isotopic values were reported using notation representing the per mille (‰) relative difference with respect to the IAEA Vienna Standard Mean Ocean Water (VSMOW) standard, following Eq. (1):
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M25" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">st</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the respective isotope ratio measurement for the samples, and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">st</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the defined isotope ratio of a standard sample.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Quality control of data</title>
<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Sampling errors</title>
      <p id="d1e1596">The precipitation samples were transferred to HDPE bottles immediately. If multiple rain/snow events occurred during 1 sampling day, the water sample from every single precipitation event was collected separately. At the end of 1 complete sampling day, all the samples collected from a single event were mixed. If the precipitation types changed during 1 sampling day, then different samples were collected separately. The final complete samples were kept cool at 4 °C. All we have done is to avoid the influence of evaporation on the enrichment of <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D and <inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O and ensure the originality of the samples.</p>
      <p id="d1e1615">During the sampling work of thermokarst lakes/ponds and streams, we do our best to control the sampling time at the same period during every month (controlling the sampling time within 1 week, i.e., between the 17th and 22th of every month) to make sure that all the samples can represent the average level of the whole month. The sampling HDPE bottles were precleaned three times using raw water. Lake water was taken at the center of lakes from 20–40 cm beneath the water surface. The running water samples of the stream were collected at each fixed point 20–30 cm beneath the water surface.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <label>4.3.2</label><title>Analytical errors</title>
      <p id="d1e1626">Before we started to analyze the samples, we first prepared 14 distilled water samples with the same stable isotopes to test the stability of our analyzer. The precision of the <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values was calculated by calculating the 1<inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation of groups of 12 injections and then calculating the average of these standard deviations. In order to ensure the data quality, the “high-precision” mode was employed during analysis. Under this mode, the analyzing time for each injection is about 8.75 min. The drift of the analyzer was determined by taking the mean of these same 12 groups of measurements and calculating the difference between the maximum and minimum means. All of these measured precision and drift values were smaller than those of the guaranteed precision (0.025 ‰ and 0.1 ‰ for <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, respectively) and drift values (0.2 ‰ and 0.8 ‰ for <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, respectively), indicating that the analyzer achieves both a good repeatability and a good reproducibility. If the measured precision and drift values did not pass the guaranteed values, then a comprehensive inspection of the analyzer was conducted, i.e., the instrument analyzing system, the vaporizer module, and the quality of the dry nitrogen. After completing all processes of checking, we repeated the analysis of 14 distilled/tap water samples and calculated the drift values until they passed the guaranteed values. The results were normalized to the Vienna Standard Mean Ocean Water–Standard Light Antarctic Precipitation (VSMOW–SLAP) scale by analyzing the internal standards before and after each set of 10 samples. Five laboratory standards (provided by LICA United Technology Limited, Beijing, China) with given isotopic values were inserted before 10 samples, which were used for instrument calibration with <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.28</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.71</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.04</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.81</mml:mn></mml:mrow></mml:math></inline-formula> ‰, and <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.99</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values of <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">165.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">123.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">79.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰, and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The best-fit linear relationship between the five known calibration values and the analyzer's reported values was determined. The slope and intercept of the best-fit line through these points are used to calibrate the results of our samples.</p>
      <p id="d1e1811">To avoid memory effects, the first three results of the measurements were discarded, and arithmetic mean values were calculated from the last three injections. During the analyzing process, the real-time data of the water concentration of all injections were controlled within a range between 19 000 and 20 000 ppm and with a standard deviation smaller than 200 ppm. Once the water concentration values appeared to decrease, the work was stopped, and the syringe was detached for washing with deionized water. All measurements were post-processed with the Picarro ChemCorrect™ software to monitor the organic contamination and correct the data.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>General characteristics of stable isotopes in different water components</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Variations in the stable isotopes of different water components</title>
<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Precipitation</title>
      <p id="d1e1839">The stable isotopes of precipitation exhibit a remarkable seasonal variability during 6 years of observations (Fig. 4). The <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M50" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D of the local precipitation in the BLH ranged from <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 6.2 ‰ and from <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">238.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 65.4 ‰, respectively. The <inline-formula><mml:math id="M53" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess ranged between <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">37.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and 44.5 ‰. The amounts of the weighted-average values of annual precipitation are <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">72.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰, and 15.4 ‰ for <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, and <inline-formula><mml:math id="M59" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess, respectively. As shown, the <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D display distinct seasonal patterns with high values in summer and low values in winter (Figs. 2, S2); this is due to the changes in moisture sources and the influence of local climate conditions (Guo et al., 2022; Tian et al., 2005; Guan et al., 2013; Bershaw et al., 2012).</p>
</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <label>5.1.2</label><title>Surface waterbodies</title>
      <p id="d1e1970">For comparison, the <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D of thermokarst lakes/ponds are more positive than those of precipitation due to strong evaporation and the resultant enrichments of heavier isotopes in lake water (Yang et al., 2016; Narancic et al., 2017; Ala-aho et al., 2018). <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranged from <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 5.7 ‰ (mean: <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰), <inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D is between <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">104.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and 22.6 ‰ (mean: <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">48.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰), and the <inline-formula><mml:math id="M70" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess ranged from <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 21.8 ‰ (mean: <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰), respectively. Similarly, the isotopic patterns of thermokarst lakes/ponds exhibited strong seasonal variations (Figs. 4, S3), which are due to the changes in source waters (i.e., precipitation, meltwater of thawing permafrost/ground ice, and groundwater) and alternations of evaporation degrees due to air temperature fluctuations (Narancic et al., 2017; Yang et al., 2021; Aichner et al., 2022; Zhu et al., 2022). Generally, the heavy isotope contents of lakes/ponds are lower in August and September (Figs. 4, S3) and are is attributed to the recharges of monsoonal precipitation and water with more negative isotopes fed by melting ground ice (Gibson et al., 2015; Yang et al., 2021). In comparison, the majority of the isotope values of lakes/ponds are positive in May, June, July, and October (Figs. 4, S3) due to evaporation and recharge of isotope-enriched precipitation water.</p>
      <p id="d1e2077">For the streams, the isotope values varied from <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O; mean: <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and from <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">83.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D; mean: <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">73.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰), and the <inline-formula><mml:math id="M81" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess ranged from <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 25.6 ‰ (mean: 15.0 ‰), respectively. The mean values are equivalent to the average values of annual precipitation in the BLH. Compared with thermokarst lakes/ponds, the <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of stream water exhibited relatively stable patterns (Fig. 4) due to the short residence time (Yang et al., 2021; S. Wang et al., 2023; Song et al., 2017), which indicates weak evaporation. However, the stream isotopes also represented seasonal variations during the 6 years of observation (Figs. 4, S4) as lower values prevailed in August and September. The temporal changes in the stream isotopes are mainly influenced by the seasonal variability in the evaporation (Yang et al., 2017) and differences in the source water, i.e., alternative replenishment of precipitation, melting ground ice, and groundwater (Streletskiy et al., 2015; Yang et al., 2019; Ala-aho et al., 2018).</p>
      <p id="d1e2187">The two kinds of supra-permafrost water (i.e., GSHQ and GSYTQ) exhibited a similar seasonal trend (Fig. 4). For comparison, the GSHQ displayed relatively more positive isotopic peaks during whole sampling periods (Fig. 4), with <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranging from <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰), the <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D ranging between <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">86.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">74.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰), and the <inline-formula><mml:math id="M92" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess varying from 6.5 to 22.4 ‰ (mean: 15.1 ‰), respectively. The isotopes of GSYTQ varied from <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰), the <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D ranged between <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">83.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50.6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">73.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰), and the <inline-formula><mml:math id="M100" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess varied from 4.6 to 25.1 ‰ (mean: 16.9 ‰). The isotopic peaks of the two types of springs lagged behind those of precipitation (Fig. 4), indicating the replenishment of precipitation via infiltration. In contrast, the stable isotopes of sub-permafrost water are more negative than those of supra-permafrost water which range between <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰) for <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, from <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">83.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">77.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰) for <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, and from 10.9 ‰ to 17.7 ‰ for <inline-formula><mml:math id="M109" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess (mean: 13.5 ‰). In addition, they stayed nearly stable over a long time series (Fig. 4), suggesting unchanged sources of isotopically light water (monsoonal precipitation, meltwater from thawing permafrost, etc.) and an insignificant influence by precipitation.</p>

      <fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d1e2441">Temporal variations in the <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of different water components in the BLH. The numbers denote the observation months of thermokarst lakes/ponds. The dots with different colors represent event values, while the dotted red line denotes the monthly average values. GSHQ and GSYTQ denote the springs along both sides of the observation stream and spring in the source area of this stream, respectively.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS1.SSS3">
  <label>5.1.3</label><title>Ground ice</title>
      <p id="d1e2469">The distributions of stable isotope dots of all cores are scattered along various depths (Fig. 5). Generally, the <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O ranges from <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15.0</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰), from <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">113.7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">66.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (mean: <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">94.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰) for <inline-formula><mml:math id="M118" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, and between <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and 15.5 ‰ (mean: 3.1 ‰) for <inline-formula><mml:math id="M120" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess, respectively. Comparing with the precipitation, the majority of the <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of ground ice is lower than the precipitation, indicating multiple sources of initial water during ice formation under variable climatic conditions and complex geological contexts on the QTP (Michel, 2011; Yang et al., 2017, 2023; Murton, 2013).</p>
      <p id="d1e2579">Specifically, the stable isotopes of ground ice varied between different boreholes (Fig. 5; Table 4). This is attributed to the influences of the initial source water and the complex ice formation mechanism. In addition, the isotopic patterns along various depths showed marked differences between boreholes (Fig. 5), suggesting influence of lithology on the water migration and freezing fractionation of stable isotopes (Yang et al., 2020; Lacelle et al., 2014; Fisher et al., 2021). Remarkably, the thaw slump ice was isotopically lighter than that of drilling ground ice (Fig. 5; Table 4); this is due to the considerable differences in the initial source water and freezing processes. The thaw slump ice is considered replenished by winter snowmelt via cracks and quick freezing (Fritz et al., 2011; Porter and Opel, 2020). However, the pore ice with lower isotopic values in these boreholes suffered isotope fractionation due to freeze–thaw conditions under climate transitions (Wetterich et al., 2014; Yang et al., 2023).</p>

<table-wrap id="Ch1.T4" specific-use="star"><label>Table 4</label><caption><p id="d1e2585">General stable isotope composition of ground ice in the Beiluhe Basin.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <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"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Borehole name</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col10" align="center">Stable isotopes of ground ice </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (‰) </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1"><inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (‰) </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center"><inline-formula><mml:math id="M124" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess (‰) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Max</oasis:entry>
         <oasis:entry colname="col3">Min</oasis:entry>
         <oasis:entry colname="col4">Mean</oasis:entry>
         <oasis:entry colname="col5">Max</oasis:entry>
         <oasis:entry colname="col6">Min</oasis:entry>
         <oasis:entry colname="col7">Mean</oasis:entry>
         <oasis:entry colname="col8">Max</oasis:entry>
         <oasis:entry colname="col9">Min</oasis:entry>
         <oasis:entry colname="col10">Mean</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">91.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">102.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">96.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">9.9</oasis:entry>
         <oasis:entry colname="col9">2.8</oasis:entry>
         <oasis:entry colname="col10">7.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">86.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">110.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">101.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">10.6</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">3.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.39</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">92.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">113.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">100.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">11.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">108.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">95.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">13.9</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">3.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">89.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">108.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">100.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8.1</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-L-6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">86.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">105.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">96.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">4.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">100.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">9.3</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">4.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M175" 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="col4"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">102.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">93.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">15.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">6.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">103.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">97.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">11.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M187" 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="col10">4.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">94.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">102.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">98.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">11.5</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">3.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">84.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">103.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">96.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">11.0</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">3.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BLH-R-6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">75.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">108.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">93.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">9.2</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DZK</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">66.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">91.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">85.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8.0</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">83.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">89.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">88.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">6.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M223" 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="col3"><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">78.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">102.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">93.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">7.4</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">74.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">103.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">11.8</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ZK-4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">69.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">96.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">84.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">9.7</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">3.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TSI</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M244" 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="col3"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">93.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">96.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">94.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">21.2</oasis:entry>
         <oasis:entry colname="col9">20.2</oasis:entry>
         <oasis:entry colname="col10">20.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d1e4317">Variations in the stable isotopes of ground ice along depths in the BLH. The blue line denotes the amounts of the weighted-average <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value of precipitation in the BLH.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f05.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O-<inline-formula><mml:math id="M252" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D relations and hydrological connections</title>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O–<inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D relationships of different water components</title>
      <p id="d1e4389">The local meteoric water line (LMWL), determined by three different methods, i.e., ordinary least squares regression using the daily isotopic data, the arithmetic mean isotopic values, and the amounts of weighted multi-monthly mean isotopic values during 6 years (2017–2022). They are expressed as LMWL<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">event</mml:mi></mml:msub></mml:math></inline-formula>, with <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M257" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7.97<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M259" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 15.26 (<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>); LMWL<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">monthly</mml:mi></mml:msub></mml:math></inline-formula>, with <inline-formula><mml:math id="M262" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M263" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8.06<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12.58</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.93</mml:mn></mml:mrow></mml:math></inline-formula>); and LMWL<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">PWA</mml:mi></mml:msub></mml:math></inline-formula>, with <inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M269" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7.78<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8.78</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula>). The slope is nearly identical to that of the global meteoric water line (GMWL; Craig, 1961). However, the intercepts are quite different (Fig. 6) due to the influences of precipitation amounts and the exceptional meteorological conditions (Barešić et al., 2006; Hughes and Crawford, 2012; Kern et al., 2016).</p>
      <p id="d1e4569">The <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O–<inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D diagrams of lakes, streams, and groundwater were built using the monthly stable isotopic values and defined as the local evaporation line (LEL). The LELs observed during 6 years are calculated as <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.88</mml:mn><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.80</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M280" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.89<inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.41</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.83</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M285" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.69<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.50</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula>) (supra-permafrost water), and <inline-formula><mml:math id="M289" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M290" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.54<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39.06</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula>) (sub-permafrost water), respectively. The slopes of the three LELs are all lower than those of the LMWL (Fig. 6) and range between 4 and 6, indicating strong evaporation (Cui et al., 2017; Yang et al., 2019) due to the lower relative humidity (Clark and Fritz, 1997). Interestingly, the correlation coefficients of streams and supra-permafrost water are much lower (smaller than 0.9), and the slopes are smaller than those of precipitation and lakes/ponds (Fig. 6), which may be affected by the transitions of source water during warm seasons and the evaporative concentration of isotopes.</p>
      <p id="d1e4790">The <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O–<inline-formula><mml:math id="M295" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D relationship for ground ice was established using the stable isotopic values of the ice samples, and the correlation is defined as the freezing line (FL; Souchez et al., 2000). In this study, the freezing line of the ground ice at 16 borehole sites was calculated as <inline-formula><mml:math id="M296" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.36</mml:mn><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.15</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula>), which is significantly different from the LMWL (Fig. 6). The difference reflects the freezing characteristics of liquid water under different conditions (Lacelle, 2011). Our freezing slope between 6.2 and 7.3 was usually obtained during equilibrium freezing, Rayleigh-type fractionation (Lacelle, 2011). The lower correlation coefficient (Fig. 6) suggests variable freezing rates (Souchez et al., 2000), kinetic isotopic fractionation during ice formation (Souchez et al., 2000), and the influence of the initial source water of the ground ice at different sites (Lacelle, 2011; Yang et al., 2017).</p>

      <fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d1e4862">The relation between <inline-formula><mml:math id="M300" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D and <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O for different water components in the BLH. The terms Wt. avg. SP, Wt. avg. WP, Wt. avg. AP, LEL, and FL denote the weighted-average value of summer precipitation, weighted-average value of winter precipitation, weighted-average value of annual precipitation, local evaporation line of surface water components, and freezing line of ground ice, respectively.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>Hydrological connections between various water components</title>
      <p id="d1e4897">Majority of the stable isotopes of the stream lie on the LMWL (Fig. 6) and embrace in the range of supra-permafrost water (Fig. 7). In addition, the mean value is close to the amounts of the weighted-average value of annual/summer precipitation, indicating the direct recharge of precipitation and supra-permafrost waters. However, some of the isotopic points do not lie on the LMWL, exhibiting a clear evaporative effect. The supra-permafrost water and sub-permafrost water display concentrated isotopic patterns compared with precipitation, reflecting relatively stable recharge sources. In addition, the scattered isotopic dots of supra-permafrost water rather than sub-permafrost water indicated changeable sources and climate conditions. For comparison, some of the isotope points of the supra-permafrost water are overlapping with those of precipitation and stream water, suggesting an important replenishment of precipitation and streams. However, the isotopic cluster of sub-permafrost water deviated significantly from the LMWL, and all the isotope values are lower than the annual average value of modern precipitation, suggesting the recharge signal of past water with negative <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (<inline-formula><mml:math id="M303" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) values under cold climate conditions. The LEL of thermokarst lakes/ponds significantly deviated from LMWL (Figs. 6, 7), and some of the isotopic dots overlapped with precipitation, groundwater, and ground ice, indicating the hydrological connections between them (Yang et al., 2016, 2017).</p>
      <p id="d1e4918">The cluster of ground ice is partly overlapped with precipitation, groundwater, lakes, and streams (Fig. 7). It is indicative of the mutual replenishment relations between them. Some of the isotope dots are more positive than the summer precipitation, implying the recharge from the evaporative active layer water. A clear freezing slope is shown, indicating typical freezing of liquid water (Jouzel and Souchez, 1982; Souchez and Jouzel, 1984; Lacelle, 2011; Perşoiu and Pazdur, 2011). However, the <inline-formula><mml:math id="M304" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>-excess values of ground ice are lower than those of river water and the amount of the weighted-average value of annual/summer precipitation (Fig. 7), suggesting the important recharge of the active layer of water (subjected to evaporation) by the near-surface ground ice (Yang et al., 2013; Throckmorton et al., 2016). In addition, the thaw slump ice exhibited more negative isotopes which are even lower than the amount of the  weighted average, indicating the main recharge of the snowmelt water (Yang et al., 2020; Opel et al., 2018).</p>

      <fig id="Ch1.F7"><label>Figure 7</label><caption><p id="d1e4930">Hydrological connections between different water components.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/16/3755/2024/essd-16-3755-2024-f07.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Data availability</title>
      <p id="d1e4949">The dataset provided in this paper can be obtained at <ext-link xlink:href="https://doi.org/10.5281/zenodo.10684110" ext-link-type="DOI">10.5281/zenodo.10684110</ext-link> (Yang, 2024).</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e4964">From 2017 to 2022, we constructed the first stable isotope monitoring network in a typical permafrost-dominated watershed (namely the Beiluhe Basin, BLH) on the central Qinghai–Tibet Plateau (QTP). In total, we obtained 554 precipitation samples, 2402 lake/pond samples, 675 stream water samples, 102 supra-permafrost water samples, and 19 sub-permafrost water samples. Importantly, 359 ground ice samples at different depths from 17 boreholes and 2 profiles were collected, making these samples the first detailed isotopic data of permafrost ice on the QTP. The following conclusions are drawn. <list list-type="order"><list-item>
      <p id="d1e4969">The stable isotopes of precipitation display distinct seasonal patterns with high <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (<inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) values in summer and low <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (<inline-formula><mml:math id="M308" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) values in winter. The slope of the LMWL is reflected in the global mean. However, the intercepts are quite different due to the influences of precipitation amounts and the  exceptional meteorological conditions.</p></list-item><list-item>
      <p id="d1e5009">The thermokarst lakes/ponds and streams exhibit remarkable seasonal patterns in stable isotopes, which is due to the transition of source waters and evaporation differences. The lower isotopic values in August and September are attributed to the recharge of monsoonal precipitation and melting ground ice. Evaporation enrichment and recharge of precipitation with heavier isotopes greatly influenced the isotopic patterns in May, June, July, and October. The slopes of the three LELs are all lower than those of LMWL, indicating strong evaporation due to lower relative humidity. The supra-permafrost water was recharged by precipitation via infiltration. In contrast, the sub-permafrost water was replenished by unchanged sources of isotopically lighter water during cold periods.</p></list-item><list-item>
      <p id="d1e5013">The stable isotopes of ground ice varied between different boreholes. This is attributed to the influences of initial source water and the complex ice formation mechanism. The near-surface ground ice was closely related to the recent precipitation and active layer hydrology; however, the deep-layer ground ice exhibited a complicated formation mechanism. In addition, the variability in the isotopic patterns along depths suggested the influence of lithology on the water migration and freezing fractionation of stable isotopes. The freezing line of the ground ice is significantly different from the LMWL and is reflected in the freezing characteristics of liquid water under different conditions.</p></list-item></list> This first comprehensive dataset provides a new basis for studying the isotopic hydrology and exploring the hydrological effects of degrading permafrost on the QTP. It also enriches the cryospheric database of the Northern Hemisphere.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Definition or description of permafrost-associated terms</title>
      <p id="d1e5029"><table-wrap id="Taba" position="anchor"><oasis:table><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="5cm"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Thermokarst lake</oasis:entry>
         <oasis:entry colname="col2">A lake occupying a closed depression formed by settlement of the ground following the thawing of ice-rich permafrost or the melting of massive ice.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ground ice</oasis:entry>
         <oasis:entry colname="col2">A general term referring to all types of ice contained in freezing and frozen ground.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pore ice</oasis:entry>
         <oasis:entry colname="col2">It is termed interstitial or “cement” ice and is the bonding material that holds soil grains together.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Segregated ice</oasis:entry>
         <oasis:entry colname="col2">It is formed by the migration of porewater to the “frozen fringe” where it forms discrete lenses or layers.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Excess ice</oasis:entry>
         <oasis:entry colname="col2">It is defined as the volume of ice in the ground that exceeds the total pore volume that the ground would have under natural unfrozen conditions.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Active layer</oasis:entry>
         <oasis:entry colname="col2">It is usually identified as the ground or a rock above the permafrost table which undergoes seasonal freezing in winter.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap></p><supplementary-material position="anchor"><p id="d1e5096">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-16-3755-2024-supplement" xlink:title="zip">https://doi.org/10.5194/essd-16-3755-2024-supplement</inline-supplementary-material>.</p></supplementary-material>
</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5107">YY and QW conceived the idea of the study. YY and XG designed the isotope observation network and completed the paper. XG and ZZ analyzed water samples and plotted figures. LZ, HY, and DZ participated the fieldwork. JC and GL provided and analyzed the meteorological data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5113">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="d1e5119">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5125">We extend our special thanks to Hong Tan, Yandong Hou, Jing Zhan, Siru Gao, Guanli Jiang, and Peng Zhang for their kind help during field sampling work. The authors thank all reviewers for their very good suggestions and comments. Our thanks are also given to chief and editors for their patient work.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5131">This research has been supported by the Key Research Program of Frontier Science, Chinese Academy of Sciences (grant no. ZDBS–LY–DQC026), the National Natural Science Foundation of China (grant nos. 41871062 and 42177073), and the foundation of the State Key Laboratory of Frozen Soil Engineering (grant no. SKLFSE-ZT-202118).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5137">This paper was edited by Attila Demény and reviewed by István Fórizs, Aurel Perşoiu, and one anonymous referee.</p>
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