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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1611054</article-id>
<article-id pub-id-type="doi">10.3389/feart.2025.1611054</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The influence of natural factors on the spatial distribution of aufeis in Ulaanbaatar, Mongolia</article-title>
<alt-title alt-title-type="left-running-head">Ulambayar et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2025.1611054">10.3389/feart.2025.1611054</ext-link>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ulambayar</surname>
<given-names>Ganbold</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Watanabe</surname>
<given-names>Tatsuya</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Dashtseren</surname>
<given-names>Avirmed</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Nakamura</surname>
<given-names>Dai</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Jambaljav</surname>
<given-names>Yamkhin</given-names>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Byambabayar</surname>
<given-names>Ganbold</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
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<contrib contrib-type="author">
<name>
<surname>Temuujin</surname>
<given-names>Khurelbaatar</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Tsogt-Erdene</surname>
<given-names>Gansukh</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Otgonjargal</surname>
<given-names>Dagvadorj</given-names>
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<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Engineering</institution>, <institution>Graduate School of Engineering</institution>, <institution>Kitami Institute of Technology</institution>, <addr-line>Kitami</addr-line>, <country>Japan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Geography and Geoecology</institution>, <institution>Mongolian Academy of Sciences</institution>, <addr-line>Ulaanbaatar</addr-line>, <country>Mongolia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>UNESCO Chair of Environmental Sciences in Eastern Central Asia</institution>, <institution>Mongolian Academy of Sciences</institution>, <addr-line>Ulaanbaatar</addr-line>, <country>Mongolia</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Geocryo LLC</institution>, <addr-line>Ulaanbaatar</addr-line>, <country>Mongolia</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Geography</institution>, <institution>School of Arts and Sciences</institution>, <institution>National University of Mongolia</institution>, <addr-line>Ulaanbaatar</addr-line>, <country>Mongolia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/222651/overview">Rebecca Mott</ext-link>, WSL Institute for Snow and Avalanche Research SLF, Switzerland</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/990843/overview">Toshihiro Ozeki</ext-link>, Hokkaido University of Education, Japan</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3057439/overview">Dagmar Brombierst&#xe4;udl</ext-link>, University of Freiburg, Germany</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ganbold Ulambayar, <email>ulambayarg@mas.ac.mn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1611054</elocation-id>
<history>
<date date-type="received">
<day>13</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Ulambayar, Watanabe, Dashtseren, Nakamura, Jambaljav, Byambabayar, Temuujin, Tsogt-Erdene and Otgonjargal.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Ulambayar, Watanabe, Dashtseren, Nakamura, Jambaljav, Byambabayar, Temuujin, Tsogt-Erdene and Otgonjargal</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Aufeis is a common phenomenon in the Northern Hemisphere and continues to pose a recurring challenge to settlement areas and urban infrastructure in Ulaanbaatar, Mongolia, during winter. Although it occurs annually, the processes and natural factors that contribute to its formation are not yet fully understood. This study analyzed the long-term spatial distribution of aufeis and the natural factors influencing its occurrence. Landsat satellite imagery from 2009 to 2024 was used to track multi-year changes in aufeis extent, and the results were compared with various natural factors. The findings revealed that the extent of aufeis over the past 14 years fluctuated between 0.01 km<sup>2</sup> and 0.03 km<sup>2</sup>. It showed a weak correlation with air temperature but a relatively strong correlation with precipitation prior to aufeis formation. During the winter of 2023&#x2013;2024, the aufeis expanded to 0.04 km<sup>2</sup> and encroached into settlement areas. This shift was associated with a thick snow cover, which insulated the ground, prevented freezing, and allowed spring water to flow beneath the snowpack. The water subsequently accumulated in low-lying areas, leading to the formation of aufeis. These areas are densely populated, and as a result, many households were affected by the expansion of aufeis during the 2023&#x2013;2024 winter. Additionally, surface emergence of soil water contributed to the enlargement of the aufeis. These results highlight the critical role of snow cover thickness, topography, and subsurface hydrology in controlling the extent and spatial dynamics of aufeis development.</p>
</abstract>
<kwd-group>
<kwd>aufeis</kwd>
<kwd>spatial distribution</kwd>
<kwd>
<italic>n</italic>-factor</kwd>
<kwd>snow cover</kwd>
<kwd>remote sensing</kwd>
<kwd>ERT</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Cryospheric Sciences</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Aufeis refers to the sheet-like accumulation of layered ice that forms on the ground surface or river or lake ice via the freezing of successive water flows. This water may seep from the ground, originate from spring flows, or emerge from beneath river ice through fractures (<xref ref-type="bibr" rid="B29">Everdingen, 1998</xref>). Aufeis is a prevalent phenomenon in the Northern Hemisphere (<xref ref-type="bibr" rid="B96">Yoshikawa et al., 2007</xref>), including North America (<xref ref-type="bibr" rid="B21">Crites et al., 2020</xref>; <xref ref-type="bibr" rid="B64">Morse and Wolfe, 2015</xref>; <xref ref-type="bibr" rid="B11">Brasseur et al., 2016</xref>), Siberia (<xref ref-type="bibr" rid="B60">Makarieva et al., 2019</xref>; <xref ref-type="bibr" rid="B59">2022</xref>; <xref ref-type="bibr" rid="B4">Alekseev et al., 2023</xref>), High Mountain Asia (<xref ref-type="bibr" rid="B32">Gagarin et al., 2022</xref>; <xref ref-type="bibr" rid="B12">Brombierst&#xe4;udl et al., 2021</xref>; <xref ref-type="bibr" rid="B13">2023</xref>; <xref ref-type="bibr" rid="B75">Schmitt et al., 2024</xref>), and Mongolia (<xref ref-type="bibr" rid="B89">Walther et al., 2021</xref>; <xref ref-type="bibr" rid="B18">Chernykh et al., 2024</xref>). The processes underlying aufeis formation are complex and influenced by a range of factors, including climate, meteorology, geological conditions, soil properties, permafrost distribution, hydrological systems, and ground topography (<xref ref-type="bibr" rid="B64">Morse and Wolfe, 2015</xref>; <xref ref-type="bibr" rid="B28">Ensom et al., 2020</xref>).</p>
<p>The formation of aufeis plays a multifaceted role in ecosystems. Although aufeis leads to the accumulation of large amounts of ice and reduces winter baseflow, it subsequently enhances spring discharge during the thawing period (<xref ref-type="bibr" rid="B54">Li et al., 1997</xref>; <xref ref-type="bibr" rid="B70">Prowse et al., 2011</xref>). This seasonal redistribution of water contributes to regional moisture balance. However, the relationship between aufeis and vegetation growth is complex. On the one hand, the gradual release of meltwater from aufeis can promote earlier plant growth by supplying additional moisture in spring. On the other hand, prolonged ice coverage can delay soil warming and hinder vegetation development (<xref ref-type="bibr" rid="B13">Brombierst&#xe4;udl et al., 2023</xref>; <xref ref-type="bibr" rid="B31">Frost et al., 2023</xref>). In addition to its ecological effects, aufeis has geomorphological implications, such as reducing riverbank erosion and influencing the evolution of river networks (<xref ref-type="bibr" rid="B2">&#xc5;kerman, 1982</xref>; <xref ref-type="bibr" rid="B3">Alekseev, 2015</xref>). Furthermore, aufeis can serve as refuges for certain animal species (<xref ref-type="bibr" rid="B20">Clough et al., 1987</xref>; <xref ref-type="bibr" rid="B86">Toupin et al., 1996</xref>; <xref ref-type="bibr" rid="B44">Huryn et al., 2021</xref>; <xref ref-type="bibr" rid="B80">Stanford et al., 2024</xref>) and as a crucial drinking water source for local communities (<xref ref-type="bibr" rid="B55">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B51">Kuklina et al., 2025</xref>). However, aufeis also has negative consequences, such as blocking river channels and culverts, reducing flow capacity that may lead to overflow and flood events (<xref ref-type="bibr" rid="B99">Zufelt et al., 2006</xref>; <xref ref-type="bibr" rid="B23">Daly et al., 2011</xref>; <xref ref-type="bibr" rid="B85">Toniolo et al., 2017</xref>; <xref ref-type="bibr" rid="B87">Turcotte et al., 2023</xref>). Moreover, aufeis on roads, railways, and footpaths disrupts transportation systems and creates safety hazards (<xref ref-type="bibr" rid="B15">Carey, 1973</xref>; <xref ref-type="bibr" rid="B97">Yu et al., 2005</xref>). Additionally, aufeis on buildings and infrastructure constitutes a geohazard, causing damage and compromising structural stability (<xref ref-type="bibr" rid="B15">Carey, 1973</xref>; <xref ref-type="bibr" rid="B87">Turcotte et al., 2023</xref>).</p>
<p>Mongolia ranks as the 18th largest country in terms of land area and has the largest area <italic>per capita</italic> among countries (<xref ref-type="bibr" rid="B65">National Atlas of Mongolia, 2022</xref>). In 2023, the population of Mongolia was approximately 3.5 million, with 70.8 percent of the population residing in Ulaanbaatar and 29.2 percent living in rural areas (<xref ref-type="bibr" rid="B81">Statistical Information Service of Mongolia, 2023</xref>). Ulaanbaatar is the coldest capital city globally, with an average annual temperature of only 0.2&#xb0;C. Despite the vastness of the country, the overconcentration of the population in Ulaanbaatar, coupled with its extreme weather conditions, means that aufeis affects roads, buildings, infrastructure, and many households annually (<xref ref-type="bibr" rid="B89">Walther et al., 2021</xref>). This issue is compounded by the migration of households from rural areas, who tend to settle in regions prone to aufeis because of limited land availability in the capital (<xref ref-type="bibr" rid="B89">Walther et al., 2021</xref>). Although aufeis has been documented in some regions in Mongolia, including mountainous areas and river valleys (<xref ref-type="bibr" rid="B18">Chernykh et al., 2024</xref>), its formation and development in densely populated urban areas remain poorly understood.</p>
<p>The scarcity of geoscientific data on aufeis distribution in urban areas hampers the identification of terrain hazards associated with its occurrence. Aufeis is influenced by local and regional factors, resulting in spatial recurrence, though not on a consistent annual basis or to the same extent (<xref ref-type="bibr" rid="B64">Morse and Wolfe, 2015</xref>). In response to this gap, a study was conducted in October 2023 to investigate the dynamics of aufeis and the factors influencing its formation, concentrating on a specific area in Ulaanbaatar where aufeis is known to occur. During the winter of 2023&#x2013;2024, considerable changes in the spatial distribution of aufeis were observed, leading to its formation in settlement areas and directly affecting nearby households.</p>
<p>This study aims to identify the causes of these alterations in aufeis distribution, analyze dynamic changes over the past years, and assess the contribution of certain natural factors to observed aufeis dynamics. Additionally, this study elucidates aufeis&#x2019;s origins, characteristics, distribution changes, and social impacts.</p>
</sec>
<sec id="s2">
<title>2 Study area</title>
<p>The study area is located in Ulaanbaatar, Mongolia, at coordinates 48&#xb0;0&#x2032;N and 106&#xb0;47&#x2032;E, within the Baruunsalaa River basin (<xref ref-type="fig" rid="F1">Figure 1</xref>). According to data sourced from the Ulaanbaatar meteorological station, the region&#x2019;s mean annual air temperature (MAAT) is 0.2&#xb0;C, based on historical records encompassing 1991 to 2023 (<xref ref-type="bibr" rid="B63">Meteorological and Environmental Information Database, 2024</xref>). The local climate is classified as continental, characterized by cold winters with a mean January temperature of &#x2212;21.3&#xb0;C and relatively warm summers with a mean July temperature of 19.0&#xb0;C. This area receives an average annual precipitation of approximately 273 mm (<xref ref-type="bibr" rid="B63">Meteorological and Environmental Information Database, 2024</xref>). The study area is approximately &#x223c;7 km in length and is surrounded by mountains with elevations ranging from 1,250 to 1,750 m above sea level. The regional geology is dominated by Paleozoic metamorphic and igneous bedrock, including granite and gneiss, which is overlain by sedimentary formations such as sandstone and limestone. In lower-lying areas, particularly along the River floodplain, widespread Quaternary alluvial deposits composed primarily of sand, gravel, and clay are present (<xref ref-type="bibr" rid="B34">Geological Map of Mongolia, 1998</xref>). Due to the semi-arid climate, the vegetation is characterized by grassland and shrubs, while river wetland areas feature thick layers of organic soil. The presence of peat in the wetland is a clear indicator of underlying permafrost, and the study area is located within sporadic and isolated permafrost zones (<xref ref-type="bibr" rid="B94">Yamkhin et al., 2022</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Map of the study area. <bold>(A)</bold> Geographical location of Ulaanbaatar. Sources: Esri, USGS, OpenStreetMap. <bold>(B)</bold> Location of the study area within the districts of Ulaanbaatar. <bold>(C)</bold> Detailed map of the study area. Sources: Background: ASF. (2020). ALOS PALSAR, Digital Elevation Model (12.5 m); Settlement area and River: Environmental Geo Database. (2023), <ext-link ext-link-type="uri" xlink:href="https://eic.mn/geodata/">https://eic.mn/geodata/</ext-link>.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g001.tif">
<alt-text content-type="machine-generated">Map showing geographical and hydrological data in Mongolia. Panel A highlights Mongolia's location with major cities. Panel B zooms into Ulaanbaatar districts. Panel C details a specific area with features like rivers, ponds, spring, and aufeis areas for 2022-2023 and 2023-2024. Symbols indicate weather stations, water temperature loggers, and ground surface temperature loggers. Elevation ranges from 1,369 to 1,705 meters. Arrow on panel C shows flow direction.</alt-text>
</graphic>
</fig>
<p>This wetland contains a small pond where aufeis occurs annually. The perennial Bumbat Spring and a narrow stream fed by the Baruun Salaa River sustain the pond (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Bumbat Spring serves as residents&#x2019; primary source of drinking water and flows approximately 200 m before entering the pond. The pond outlet subsequently merges with the main flow of the Baruun Salaa River and drains into the Tolgoit River. The aufeis that occurs around the pond is referred to locally as &#x201c;Bumbat aufeis,&#x201d; named after the spring, and is referred to as such throughout this study.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methods</title>
<sec id="s3-1">
<title>3.1 Remote sensing-based mapping of aufeis</title>
<sec id="s3-1-1">
<title>3.1.1 Satellite-based multi-year spatial distribution of aufeis</title>
<p>Due to a lack of recent data, mapping was conducted using a satellite-based approach. This study utilized images acquired by the Landsat 5 Thematic Mapper (TM) and the Landsat 8 Operational Land Imager (OLI), both of which have a spatial resolution of 30 m (<xref ref-type="table" rid="T1">Table 1</xref>). These images are Collection 2 Level 1 (L1T) images that have been radiometrically and geometrically corrected. The beginning of the multi-temporal analysis was set to 2010 because data availability in the study region was sparse in previous years due to a high degree of cloud and snow cover. All imagery was acquired from the U.S. Geological Survey Web Service (<xref ref-type="bibr" rid="B88">U.S. Geological Survey web-service, 2024</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Landsat satellite number, ID, acquisition date, NDSI Threshold, path, and row used in this study.</p>
</caption>
<table>
<thead valign="top">
<tr style="background-color:#BFBFBF">
<th align="center">Landsat &#x23;</th>
<th align="center">Landsat image ID</th>
<th align="center">Acquisition date</th>
<th align="center">NDSI Threshold</th>
<th align="center">Path</th>
<th align="center">Row</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Landsat 5</td>
<td align="center">LT513102720100426</td>
<td align="center">2010-04-26</td>
<td align="center">&#x3e;0.12</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 5</td>
<td align="center">LT513102720110413</td>
<td align="center">2011-04-13</td>
<td align="center">&#x3e;0.11</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813202720130425</td>
<td align="center">2013-04-25</td>
<td align="center">&#x3e;0.23</td>
<td align="center">132</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813102720140405</td>
<td align="center">2014-04-05</td>
<td align="center">&#x3e;0.09</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813102720180331</td>
<td align="center">2018-03-31</td>
<td align="center">&#x3e;0.03</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813102720190318</td>
<td align="center">2019-03-18</td>
<td align="center">&#x3e;0.17</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813102720200405</td>
<td align="center">2020-04-05</td>
<td align="center">&#x3e;0.04</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 8</td>
<td align="center">LC813102720230329</td>
<td align="center">2023-03-29</td>
<td align="center">&#x3e;0.19</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">Landsat 9</td>
<td align="center">LC913102720240408</td>
<td align="center">2024-04-08</td>
<td align="center">&#x3e;0.13</td>
<td align="center">131</td>
<td align="center">27</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To map the spatial distribution of Bumbat aufeis, the Normalized Difference Snow Index (NDSI) was applied. NDSI discriminates between snow and ice versus soil, rocks, and even remnant cloud cover, and it has been widely used in previous studies (<xref ref-type="bibr" rid="B78">Silverio and Jaquet, 2005</xref>; <xref ref-type="bibr" rid="B42">Hendriks and Pellikka, 2007</xref>; <xref ref-type="bibr" rid="B26">Dozier et al., 2016</xref>; <xref ref-type="bibr" rid="B24">Dann et al., 2025</xref>).</p>
<p>Snow and ice exhibit high reflectance values in the visible and near-infrared spectral bands; however, their reflectance diminishes in the mid-infrared bands. Consequently, this study focused on the green and Shortwave Infrared 1 (SWIR1) bands (<xref ref-type="table" rid="T2">Table 2</xref>). Typically, areas covered by snow and ice display a threshold value exceeding zero. The NDSI is derived based on this principle and is calculated using the formula presented below (<xref ref-type="bibr" rid="B38">Hall et al., 1995</xref>):<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Band information of Landsat satellites used in this study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Landsat &#x23;</th>
<th align="center">Band</th>
<th align="center">Wavelength (&#xb5;m)</th>
<th align="center">Description</th>
<th align="center">Resolution (m)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Landsat 5<break/>Thematic Mapper (TM)</td>
<td align="center">2</td>
<td align="center">0.52&#x2013;0.60</td>
<td align="center">Green</td>
<td rowspan="6" align="center">30</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">1.55&#x2013;1.75</td>
<td align="center">Shortwave Infrared 1 (SWIR1)</td>
</tr>
<tr>
<td rowspan="2" align="center">Landsat 8<break/>Operational Land Imager (OLI)</td>
<td align="center">3</td>
<td align="center">0.53&#x2013;0.59</td>
<td align="center">Green</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.57&#x2013;1.65</td>
<td align="center">Shortwave Infrared 1 (SWIR1)</td>
</tr>
<tr>
<td rowspan="2" align="center">Landsat 9<break/>Operational Land Imager 2 (OLI-2)</td>
<td align="center">3</td>
<td align="center">0.53&#x2013;0.59</td>
<td align="center">Green</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.57&#x2013;1.65</td>
<td align="center">Shortwave Infrared 1 (SWIR1)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>However, given the spatial and temporal variability of the imagery, appropriate NDSI thresholds for each dataset were determined individually (<xref ref-type="bibr" rid="B40">H&#xe4;rer et al., 2018</xref>; <xref ref-type="bibr" rid="B24">Dann et al., 2025</xref>). The thresholds used for each dataset are shown in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<p>However, since NDSI values are high for both snow and ice, satellite images captured during snow-free periods were selected to better distinguish aufeis boundaries. According to previous studies, the aufeis in the lower reaches of the Uliastai River valley typically reaches its maximum extent in mid-February (<xref ref-type="bibr" rid="B89">Walther et al., 2021</xref>). Nonetheless, satellite images from this period were snow-covered, rendering it challenging to separate ice from snow. Therefore, imagery acquired during the post-snowmelt period, specifically between March 18 and April 26, was selected (<xref ref-type="table" rid="T1">Table 1</xref>; <xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Spatial distribution maps of Bumbat aufeis after snowmelt from 2010 to 2024. Each image includes the date of the satellite imagery and the corresponding size of the aufeis area.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g002.tif">
<alt-text content-type="machine-generated">Nine-panel map sequence showing changes in aufeis area from 2010 to 2024 at coordinates 106&#xB0;47'20&#x22;E to 106&#xB0;48'0&#x22;E and 49&#xB0;N. Each panel includes the date and aufeis area in square kilometers. Key features include a main stream, narrow stream, pond, spring, and settlement area, with elevation ranging from 1375 to 1705 meters. The areas of aufeis vary, demonstrating seasonal and yearly trends. A scale bar and compass rose are included.</alt-text>
</graphic>
</fig>
<p>The multi-temporal analysis of aufeis in Bumbat was conducted using a semi-automated processing workflow implemented in ArcGIS 10.4. After calculating NDSI, a binary raster from each Landsat image, where 0 represented &#x201c;no ice&#x201d; and 1 indicated &#x201c;ice&#x201d; was generated. Subsequently, the Raster to Polygon tool was used to convert the binary rasters into polygon representations of aufeis areas. Finally, the surface area of each polygon was calculated using the Calculate Geometry function.</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Unnamed aerial vehicle-based monthly spatial dynamics of aufeis</title>
<p>To capture the monthly dynamics in the aufeis area during the winter of 2023&#x2013;2024, an aerial survey was conducted. Studies on aufeis mapping have generally relied on satellite imagery, aircraft-based surveys, and unmanned aerial vehicle (UAV) approaches (<xref ref-type="bibr" rid="B19">Chu and Lindenschmidt, 2016</xref>; <xref ref-type="bibr" rid="B47">K&#xe4;&#xe4;b et al., 2019</xref>; <xref ref-type="bibr" rid="B33">Gagarin et al., 2020</xref>; <xref ref-type="bibr" rid="B83">Terry et al., 2020</xref>; <xref ref-type="bibr" rid="B9">Bernard et al., 2017</xref>; <xref ref-type="bibr" rid="B8">2021</xref>). In this study, high-resolution mapping under snow-covered conditions was required. While high-resolution satellite imagery can be used under such conditions and is applicable to aufeis mapping (<xref ref-type="bibr" rid="B14">Brombierst&#xe4;udl et al., 2024</xref>), commercial satellites that provide very-high-resolution images are often costly and, due to cloud cover, may result in incomplete time series, rendering them less reliable. Similarly, aircraft-based mapping is also expensive.</p>
<p>To address these challenges, a DJI Phantom 4 RTK UAV was employed. In recent years, several studies have successfully utilized UAVs for aufeis mapping (<xref ref-type="bibr" rid="B33">Gagarin et al., 2020</xref>; <xref ref-type="bibr" rid="B83">Terry et al., 2020</xref>; <xref ref-type="bibr" rid="B9">Bernard et al., 2017</xref>; <xref ref-type="bibr" rid="B8">2021</xref>). Compared with commercial high-resolution satellite imagery, UAV imagery provides considerably higher spatial resolution and significantly lower operational costs (<xref ref-type="bibr" rid="B92">Woodget et al., 2017</xref>). Moreover, UAVs can operate below cloud cover, providing a clear observational advantage for detecting aufeis extent even under overcast conditions.</p>
<p>Furthermore, a high-resolution Digital Elevation Model (DEM) was generated using the Structure-from-Motion (SfM) photogrammetry approach that reconstructs 3D surfaces based on image point matching in overlapping photographs (<xref ref-type="bibr" rid="B90">Westoby et al., 2012</xref>; <xref ref-type="bibr" rid="B79">Smith et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Carrivick et al., 2016</xref>). While SfM does not inherently require prior knowledge of camera positions, the integration of a UAV&#x2019;s GPS positioning system improved the georeferencing accuracy and reduced potential distortions in the resulting 3D models (<xref ref-type="bibr" rid="B16">Carrivick et al., 2019</xref>). Thus, these GPS data facilitated more reliable spatial alignment between successive DEMs used for change detection. The raw images acquired by the drone were processed into DEMs and orthophotos using Agisoft Metashape Professional software.</p>
<p>Aerial surveys were conducted on 2 November 2023, 17 November 2023, 21 December 2023, 8 February 2024, 6 March 2024, 5 April 2024, and 15 April 2024 (<xref ref-type="fig" rid="F3">Figure 3</xref>). As the UAV was equipped with an RTK positioning system, the initial georeferencing accuracy was high. Accordingly, for each survey date, a DEM and an orthomosaic with a spatial resolution of 1 cm per pixel were generated. A reference DEM obtained on 2 November 2023, prior to aufeis formation, was used as the baseline surface. By subtracting the DEM representing the ice-free condition from the ice-covered DEM, both the thickness and spatial distribution of aufeis were determined (<xref ref-type="bibr" rid="B83">Terry et al., 2020</xref>; <xref ref-type="bibr" rid="B14">Brombierst&#xe4;udl et al., 2024</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Monthly orthomosaics and spatial distribution maps of Bumbat aufeis for the winter of 2023&#x2013;2024.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g003.tif">
<alt-text content-type="machine-generated">Series of drone images and maps illustrating changes in aufeis within a settlement area from November 17, 2023, to April 15, 2024. Each column presents a drone image at the top and a corresponding map below showing aufeis distribution. Colored areas indicate aufeis thickness: yellow for less than 0.3 meters, green for 0.3 to 0.6 meters, and blue for more than 0.6 meters. Settlement boundaries are outlined with grids. The extent of aufeis in square kilometers is labeled beneath each map, demonstrating temporal variations. A scale bar and north-pointing compass are included.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 <italic>In situ</italic> data</title>
<sec id="s3-2-1">
<title>3.2.1 Geophysical investigation</title>
<p>Electrical resistivity tomography (ERT) measurements were conducted in autumn 2023 (Profiles 2, 3, and 4) and autumn 2024 (Profiles 1, 5, and 6) to characterize the geological conditions beneath the aufeis area (<xref ref-type="fig" rid="F4">Figure 4</xref>). ERT measures the electrical resistivity of subsurface soils and rocks by acquiring measurements at the ground surface. This technique characterizes the distribution of soil and rock based on the apparent resistivity value (Ohm; <sans-serif>
<italic>&#x3a9;</italic>
</sans-serif>) and provides information regarding subsurface characteristics such as the nature of the materials, as well as their structure, water content, and fluid composition (<xref ref-type="bibr" rid="B73">Samou&#xeb;lian et al., 2005</xref>). Ground resistivity is influenced by various geological parameters, including mineral, fluid, and organic matter content, porosity, and the degree of water saturation in rock (<xref ref-type="bibr" rid="B62">McCarter, 1984</xref>; <xref ref-type="bibr" rid="B49">Kelly and Kalinski, 1993</xref>; <xref ref-type="bibr" rid="B1">Abu-Hassanein et al., 1996</xref>; <xref ref-type="bibr" rid="B35">Giao et al., 2003</xref>; <xref ref-type="bibr" rid="B27">Ekwue and Bartholomew, 2011</xref>). This method is widely used in fields such as hydrogeology, geotechnics, and environmental studies because it can provide valuable insights into subsurface structures (<xref ref-type="bibr" rid="B6">Arjwech et al., 2021</xref>; <xref ref-type="bibr" rid="B10">Bharti et al., 2022</xref>; <xref ref-type="bibr" rid="B46">Jabrane et al., 2023</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Locations of ERT profiles, boreholes and water sampling points.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g004.tif">
<alt-text content-type="machine-generated">Map showing various geographical and scientific data, including rivers, a pond outlet, spring source, ERT profiles, boreholes, and water sampling points. It displays settlement areas, different aufeis sections from 2022-2023 and 2023-2024, with elevation ranging from thirteen sixty-nine to seventeen zero five meters. North orientation is indicated with a compass rose.</alt-text>
</graphic>
</fig>
<p>In this study, ERT profiles were acquired using the SYSCAL R1 Plus and SWITCH PRO tools (<xref ref-type="bibr" rid="B45">IRIS Instruments Company, 2012</xref>). The Wenner&#x2013;Schlumberger array is a hybrid of the Wenner and Schlumberger configurations. It was selected for its moderate sensitivity to both horizontal and vertical subsurface structures, providing enhanced horizontal coverage and signal strength compared with other arrays (<xref ref-type="bibr" rid="B69">Pazdirek and Bl&#xe1;ha, 1996</xref>). The average depth of investigation is greater than that of the Wenner array, while the signal intensity is lower than that of the Wenner but higher than that of the dipole&#x2013;dipole array (<xref ref-type="bibr" rid="B61">Martines-L&#xf3;pez et al., 2013</xref>; <xref ref-type="bibr" rid="B95">Yonatan et al., 2021</xref>). The profile lengths were 240 m (Profile 1, 2, 3, 5, and 6) and 400 m (Profile 4), with electrodes installed at 3 m (Profile 2 and 3) and 5 m (Profile 1, 4, 5, and 6) intervals, respectively (<xref ref-type="fig" rid="F5">Figure 5</xref>). Data were processed using RES2DINV software to convert resistivity data into an accurate subsurface resistivity distribution (<xref ref-type="bibr" rid="B56">Loke and Barker, 1996</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Results of electrical resistivity tomography profiles and borehole logs. <bold>(A)</bold> ERT profile 1. <bold>(B)</bold> ERT profile 2. <bold>(C)</bold> ERT profile 3. <bold>(D)</bold> ERT profile 4. <bold>(E)</bold> ERT profile 5. <bold>(F)</bold> ERT profile 6. <bold>(G)</bold> Borehole logs BH-1 and BH-2.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g005.tif">
<alt-text content-type="machine-generated">Geophysical profiles showing resistivity models with topography for six different profiles. Each profile highlights subsurface layers like moist alluvium, low moist alluvium, permafrost, and bedrock, indicated by varying resistivity colors. Borehole logs BH-1 and BH-2 provide soil composition at specified depths, showing variations such as black silty loam and yellow clay loam with fine-grained gravel. Profiles also mark locations of faults, rivers, and specific areas for 2022-2023 and 2023-2024 indicated by arrows. A color bar at the bottom denotes resistivity values in ohm meters.</alt-text>
</graphic>
</fig>
<p>Subsequently, drilling was conducted at two locations along ERT Profile 3 (<xref ref-type="fig" rid="F4">Figure 4</xref>) on 4 January 2024, each reaching a depth of 6 m, to validate the ERT measurement results. These locations were selected to represent areas where aufeis either does or does not occur, as well as to examine differences in electrical resistivity values. Drilling was performed using the rotary drilling method to validate the ERT results and determine the soil and rock characteristics in aufeis and non-aufeis areas.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Meteorological indicators</title>
<p>On 23 October 2023, an RX3000 remote weather monitoring station was set up 300 m north of the aufeis area (<xref ref-type="fig" rid="F1">Figure 1C</xref>). This station records seven parameters in 5 min intervals, including air temperature, surface temperature, precipitation, wind speed and direction, air pressure, and relative humidity (<xref ref-type="bibr" rid="B66">Onset Computer Corporation, 2018</xref>).</p>
<p>Data from the Songinokhairkhan meteorological station, operated by the Information and Research Institute of Meteorology, Hydrology, and Environment in Mongolia, were analyzed to assess the influence of air temperature and precipitation on aufeis distribution. This is the closest station to the study area, from which data encompassing 2009 to 2024 were acquired. The freezing degree days (FDD<sub>A</sub>) and thawing degree days (TDD<sub>A</sub>) were calculated to evaluate the annual air temperature regime. Among the various methods available for computing freezing and thawing indices, summing all temperatures less than or greater than 0&#xb0;C during their respective periods was suitable and reliable (<xref ref-type="bibr" rid="B93">Wu et al., 2011</xref>). For continuity in these calculations, the freeze period was defined as June 1 to June 30 of the following year, and the thaw period as January 1 to December 31 (<xref ref-type="bibr" rid="B58">Luo et al., 2014</xref>).</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Ground surface and water temperature measurements</title>
<p>Six miniature data loggers were deployed to monitor the water and ground temperature regimes in the study area. One data logger was installed within the spring source, two were positioned along the spring stream, and three were installed at the ground surface (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Measurements were recorded at 4 h intervals with an accuracy of &#xb1;0.53% using a HOBO Pendant Temperature Datalogger (<xref ref-type="bibr" rid="B66">Onset Computer Corporation, 2018</xref>). The ground surface temperature (GST) loggers were positioned at a depth of 3 cm to minimize the influence of direct solar radiation (<xref ref-type="bibr" rid="B94">Yamkhin et al., 2022</xref>). The loggers were installed on 24 October 2023, and data collection was conducted until 1 October 2024.</p>
<p>The uneven distribution of surface temperatures may influence the spatial distribution of aufeis. The freezing n-factor was calculated to explore the relationship between air and surface temperatures during the aufeis period. The n-factor measures thermal interactions between the ground surface and the air by calculating the ratio of GST to air temperature. This index is commonly used in studies on cold-region soil science and permafrost (<xref ref-type="bibr" rid="B50">Klene et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Lei et al., 2020</xref>) and is calculated using the formula presented below (<xref ref-type="bibr" rid="B57">Lunardini, 1978</xref>):<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>FD</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>FD</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where FDD<sub>S</sub> represents the freezing degree days for the ground surface (&#xb0;C), calculated based on data collected using the GST loggers, and FDD<sub>A</sub> represents the freezing degree days for air (&#xb0;C), determined based on data collected using the RX3000 remote weather monitoring station.</p>
<p>In addition, data obtained from water temperature loggers were analyzed to investigate the relationship between air and spring water temperatures. River water temperatures exhibit daily, seasonal, annual, and multiannual variations driven by climate and environmental factors (<xref ref-type="bibr" rid="B36">Graf, 2018</xref>). In the Northern Hemisphere, more than 60% of rivers experience freezing, with the duration of freezing events being influenced by fluctuations in air and water temperatures (<xref ref-type="bibr" rid="B7">Beltaos and Prowse, 2009</xref>). The relationship between the mean daily water temperature, recorded by the water temperature data loggers, and the mean daily air temperature, recorded by the RX3000 station, was assessed using linear regression analysis.</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Water chemical analysis</title>
<p>Aufeis chemistry has been studied to improve understanding of water sources and aufeis process dynamics (<xref ref-type="bibr" rid="B37">Hall, 1980</xref>; <xref ref-type="bibr" rid="B28">Ensom et al., 2020</xref>). Water samples were collected from the spring source, river, and pond outlet in April 2024 during the aufeis period to determine the origin of the aufeis phenomenon. In addition, ice samples were collected from the upper and lower sections of the aufeis formation (<xref ref-type="fig" rid="F4">Figure 4</xref>). The water samples were collected in sealed 1 L glass containers, while the ice samples were collected in unsealed glass containers, melted, and subsequently submitted for analysis. A total of seven samples were collected and analyzed for 22 parameters at the Water Laboratory of the Institute of Geography and Geoecology, Mongolian Academy of Sciences. Of the analyzed parameters, three parameters&#x2014;ammonium (NH<sub>4</sub>), hardness, and pH&#x2014;were selected for the final analysis.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Aufeis distribution and dynamics</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the spatial distribution changes in the Bumbat aufeis area. Bumbat aufeis typically occurs around the pond, with affected areas ranging from 0.008 to 0.029 km<sup>2</sup>, showing variability in size. However, during the 2023&#x2013;2024 period, aufeis was observed in the lower section of the pond, within the settlement area, encompassing an area of 0.044 km<sup>2</sup>, 1.5 to 5.5 times larger than in previous years. During fieldwork, residents reported that the settlement area had never previously experienced aufeis, and several households required relocation because of the impact of this phenomenon.</p>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> illustrates the monthly changes in the area of the aufeis formation during the 2023&#x2013;2024 period. The dynamics of Bumbat aufeis exhibit significant variation, with aufeis commencing in November and increasing progressively in size until it reaches its maximum extent in March. After reaching this peak, the ice begins to melt and melts completely by early May.</p>
</sec>
<sec id="s4-2">
<title>4.2 Results of electrical resistivity tomography</title>
<p>The locations of the ERT measurements conducted in the study area are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. Resistivity values were recorded across all ERT profiles, ranging from 45 to 1094 &#x2126;&#xb7;m. Sections with resistivity values between 45 and 112 &#x2126;&#xb7;m are classified as moist alluvium, while those between 112 and 440 &#x2126;&#xb7;m represent low-moisture alluvium. Surface layers with resistivity values of 694 &#x2126;&#xb7;m or higher indicate permafrost. Deeper layers exhibiting similarly high resistivity values represent bedrock (<xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
<p>Profile 1 (A-A&#x2032;) was conducted west to east, crossing the spring source along the spring stream (<xref ref-type="fig" rid="F4">Figure 4</xref>). The results revealed three primary layers: moist alluvium, permafrost, and bedrock. A fault was identified between the permafrost and bedrock, coinciding with the location of the spring source (<xref ref-type="fig" rid="F5">Figure 5A</xref>).</p>
<p>Profiles 2 (B-B&#x2032;) and 3 (C-C&#x2032;) were acquired in areas prone to aufeis formation, following the cross-section outlined in <xref ref-type="fig" rid="F4">Figure 4</xref>. The results revealed two main layers: low-moisture alluvium and moist alluvium. In addition, Profile 3 identified two small permafrost layers (<xref ref-type="fig" rid="F5">Figures 5B,C</xref>).</p>
<p>Profile 4 (D-D&#x2032;) revealed three main layers: moist alluvium, low-moisture alluvium, and bedrock. In 2022&#x2013;2023, aufeis also occurred in areas with low soil moisture content; however, aufeis was observed in moist zones during the 2023&#x2013;2024 period (<xref ref-type="fig" rid="F5">Figure 5D</xref>).</p>
<p>Profiles 5 (E-E&#x2032;) and 6 (F-F&#x2032;) identified three primary layers: moist alluvium, low-moisture alluvium, and bedrock. In Profile 6, a fault was detected between the bedrock layers, and during the 2023&#x2013;2024 period, aufeis predominantly developed in areas with higher soil moisture contents (<xref ref-type="fig" rid="F5">Figures 5E,F</xref>).</p>
<p>Borehole BH-1 was drilled in an aufeis-prone area with the following stratigraphy: (see borehole log in <xref ref-type="fig" rid="F5">Figure 5G</xref>).</p>
<p>0&#x2013;0.5 m: Black silty loam.</p>
<p>0.5&#x2013;2.5 m: Yellow clay loam with fine-grained gravel.</p>
<p>2.5&#x2013;6.0 m: Brown loam with medium-grained sand.</p>
<p>Borehole BH-2 was drilled in the non-aufeis area with the following stratigraphy: (see borehole log in <xref ref-type="fig" rid="F5">Figure 5G</xref>).</p>
<p>0&#x2013;2.5 m: Black silty loam.</p>
<p>2.5&#x2013;3.5 m: Dark brown sandy clay loam with gravel.</p>
<p>3.5&#x2013;6.0 m: Yellow clay loam with fine-grained gravel.</p>
<p>In BH-1, a 2 m-thick yellow clay loam with fine-grained gravel was identified between depths of 0.5 and 2.5 m. In BH-2, a similar yellow clay loam layer with fine-grained gravel was encountered at a depth of approximately 3.5 m. The upper 0&#x2013;3.5 m in BH-2 consisted primarily of silty loam and sandy clay loam.</p>
</sec>
<sec id="s4-3">
<title>4.3 Physico-chemical properties of water</title>
<sec id="s4-3-1">
<title>4.3.1 Relationship between air and spring water temperatures</title>
<p>
<xref ref-type="fig" rid="F6">Figure 6</xref> presents the mean daily water temperature and mean daily air temperature, their relationship, and the average, maximum, and minimum temperature values.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Relationship and correlation between mean daily air temperature (MDAT) and water temperatures from 24 October 2023 to 1 October 2024. <bold>(A)</bold> Relationship between WTL-1 and MDAT. <bold>(B)</bold> Correlation between WTL-1 vs MDAT. <bold>(C)</bold> Relationship between WTL-2 and MDAT. <bold>(D)</bold> Correlation between WTL-2 and MDAT. <bold>(E)</bold> Relationship between WTL-3 and MDAT. <bold>(F)</bold> Correlation between WTL-3 and MDAT. </p>
</caption>
<graphic xlink:href="feart-13-1611054-g006.tif">
<alt-text content-type="machine-generated">Three sets of graphs show air and water temperature data over different periods. Graphs A, C, and E display temperature trends over time, with red lines for air temperature and blue for water temperature. Graphs B, D, and F are scatter plots correlating air and water temperatures with positive relationships, indicated by trend lines. The R-squared values increase from 0.35 in B to 0.84 in F, suggesting stronger correlation in later graphs. The data spans from November 2023 to September 2024.</alt-text>
</graphic>
</fig>
<p>WTL-1 represents data collected from a temperature data logger installed at the spring&#x2019;s source (<xref ref-type="fig" rid="F1">Figure 1C</xref>). The average recorded temperature was 2.42&#xb0;C, with a maximum of 3.52&#xb0;C and a minimum of 1.51&#xb0;C (<xref ref-type="fig" rid="F6">Figure 6A</xref>). These data indicate that the spring water flows consistently throughout all four seasons. Additionally, the correlation with air temperature was weak, with an <italic>R</italic>
<sup>2</sup> value of 0.35 (<xref ref-type="fig" rid="F6">Figure 6B</xref>).</p>
<p>The WTL-2 temperature data logger is located 100 m from the spring source within the spring stream (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Recorded data revealed an average temperature of 2.87&#xb0;C, a maximum of 8.88&#xb0;C, and a minimum of &#x2212;2.59&#xb0;C (<xref ref-type="fig" rid="F6">Figure 6C</xref>). Water temperatures were less than 0&#xb0;C from January 16 to 14 March 2024, indicating that freezing occurred within the spring stream during this period. The strong correlation with air temperature, with an <italic>R</italic>
<sup>2</sup> value of 0.78, suggests a direct relationship between the stream temperature of the spring and fluctuations in air temperature (<xref ref-type="fig" rid="F6">Figure 6D</xref>).</p>
<p>The WTL-3 temperature data logger is positioned 180 m from the spring source, also within the spring stream (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Recorded data showed an average temperature of 3.23&#xb0;C, a maximum temperature of 9.89&#xb0;C, and a minimum temperature of &#x2212;1.99&#xb0;C (<xref ref-type="fig" rid="F6">Figure 6E</xref>). Water temperatures were less than 0&#xb0;C between December 14 and 15 March 2024, indicating that this section of the spring stream experienced freezing. A strong correlation with air temperature was observed, with an <italic>R</italic>
<sup>2</sup> value of 0.84 (<xref ref-type="fig" rid="F6">Figure 6F</xref>). Furthermore, the duration of the freeze period in this section was longer compared with WTL-2, indicating a higher dependency on air temperature.</p>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Chemical properties</title>
<p>The results of the chemical analysis considered three primary parameters (<xref ref-type="table" rid="T3">Table 3</xref>). The spring water exhibited an absence of ammonium (NH<sub>4</sub>) content, with a hardness value of 3.56 mg-eq/dm<sup>3</sup> and a pH of 7.14, indicating relatively high hardness. In contrast, the river and pond outlet sections demonstrated significantly lower hardness values, with pH values of 6.77 and 6.72, respectively. Notably, the NH<sub>4</sub> content in these sections exceeded the thresholds established by the Mongolian water quality standard, MNS 4586:1998.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Results of water chemical analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Parameter</th>
<th align="center">Spring source</th>
<th align="center">River</th>
<th align="center">Pond outlet</th>
<th align="center">Upper section of the aufeis</th>
<th align="center">Lower section of the aufeis</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Hardness (mg-eq/dm<sup>3</sup>)</td>
<td align="center">3.56</td>
<td align="center">1.72</td>
<td align="center">1.80</td>
<td align="center">0.46</td>
<td align="center">0.70</td>
</tr>
<tr>
<td align="center">pH</td>
<td align="center">7.14</td>
<td align="center">6.77</td>
<td align="center">6.72</td>
<td align="center">9.18</td>
<td align="center">7.97</td>
</tr>
<tr>
<td align="center">NH<sub>4</sub>
<sup>&#x2b;</sup> (mg/dm<sup>3</sup>)</td>
<td align="center">0.0</td>
<td align="center">0.8</td>
<td align="center">1.2</td>
<td align="center">0.5</td>
<td align="center">0.8</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Water samples from the aufeis formation were analyzed, revealing that their hardness values were considerably lower than those of other sampling locations. The pH values in the aufeis samples ranged between 9.18 and 7.97. In the upper section of the aufeis formation, the NH<sub>4</sub> concentration was at 0.5 mg/dm<sup>3</sup>, which is within acceptable limits. However, the lower section exhibited a higher NH<sub>4</sub> concentration of 0.8 mg/dm<sup>3</sup>, surpassing the maximum concentration allowed by the Mongolian water quality standard, MNS 4586:1998.</p>
</sec>
</sec>
<sec id="s4-4">
<title>4.4 Freezing <italic>n</italic>-factors</title>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> illustrates the mean daily GSTs, air temperatures, and freezing n-factor values. Data for GST-1 correspond to the GST recorded at the RX3000 weather station (<xref ref-type="fig" rid="F1">Figure 1C</xref>). In contrast, the other data points represent measurements obtained using temperature data loggers installed in areas associated with aufeis formation (<xref ref-type="fig" rid="F1">Figure 1C</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Mean daily ground surface temperature vs. air temperature and freezing n-factor for four points. <bold>(A)</bold> GST-1 point. <bold>(B)</bold> GST-2 point. <bold>(C)</bold> GST-3 point. <bold>(D)</bold> GST-4 point. </p>
</caption>
<graphic xlink:href="feart-13-1611054-g007.tif">
<alt-text content-type="machine-generated">Four line graphs (A, B, C, D) compare air temperature (red) and ground surface temperature (black) from October 2023 to September 2024. Each panel shows different freezing indices (\(n_F\)): 0.08, 0.11, 0.05, 0.21. Panel D highlights a frozen period between December 14, 2023, and March 15, 2024. Temperature ranges from -32&#xB0;C to 24&#xB0;C.</alt-text>
</graphic>
</fig>
<p>For GST-1, GST-2, and GST-3, the freezing n-factor values ranged from 0.05 to 0.11 (<xref ref-type="fig" rid="F7">Figures 7A&#x2013;C</xref>). This low n-factor rate can be attributed to the thermal insulation effect provided by snow cover. Snow cover depth, duration, and timing considerably influence the ground surface thermal regime in the winter months.</p>
<p>GST-4 exhibits a higher freezing n-factor value of 0.21, indicating a relatively stronger thermal interaction than the other points. Notably, between 14 December 2023, and 15 March 2024, a marked decrease in GSTs was observed, coinciding with the period during which the spring stream froze (<xref ref-type="fig" rid="F7">Figure 7D</xref>).</p>
</sec>
<sec id="s4-5">
<title>4.5 Influence of climatic factors on the spatial distribution of aufeis</title>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> illustrates the relationship between the aufeis area and several climatic factors, including MAAT, total annual precipitation, FDD<sub>A</sub>, and TDD<sub>A</sub> for the corresponding years. Upon examining the correlation between changes in aufeis area and annual mean air temperature, FDD<sub>A</sub>, and TDD<sub>A</sub>, a weak correlation was observed, with <italic>R</italic>
<sup>2</sup> values ranging from 0.0006 to 0.17, indicating that the air temperature regime does not directly influence the aufeis area (<xref ref-type="fig" rid="F8">Figures 8A,C,D</xref>). In contrast, a moderate relationship was found between total annual precipitation and changes in the aufeis area, with an <italic>R</italic>
<sup>2</sup> value of 0.53 (<xref ref-type="fig" rid="F8">Figure 8B</xref>), indicating that the extent of the aufeis area is influenced by the total amount of annual precipitation.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Correlation between aufeis area and climatic factors. <bold>(A)</bold> Aufeis area vs. Mean annual air temperature (MAAT). <bold>(B)</bold> Aufeis area vs. Precipitation. <bold>(C)</bold> Aufeis area vs. FDD<sub>A</sub>. <bold>(D)</bold> Aufeis area vs. TDD<sub>A</sub>. </p>
</caption>
<graphic xlink:href="feart-13-1611054-g008.tif">
<alt-text content-type="machine-generated">Four-panel chart showing data trends from 2009 to 2023. Panel A: Orange line for Mean Annual Air Temperature (MAAT) with a correlation of R&#xB2; &#x3d; 0.005. Purple dots show aufeis area. Panel B: Green line for precipitation with R&#xB2; &#x3d; 0.53, alongside aufeis area. Panel C: Blue line for Freezing Degree Days (FDD) with R&#xB2; &#x3d; 0.17, and aufeis area. Panel D: Red line for Thawing Degree Days (TDD) with R&#xB2; &#x3d; 0.0006, paired with aufeis area. Each panel compares different climatic variables to aufeis area in purple.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F9">Figure 9A</xref> presents the total monthly and seasonal snowfall amounts for the winter seasons from 2009 to 2024. These data indicate considerable fluctuations in monthly snowfall, with certain years experiencing earlier snowfall (e.g., 2016 and 2023) and other years later snowfall (e.g., 2015). The total snowfall during this period ranged from 37 mm (2018&#x2013;2019) up to 498 mm (2023&#x2013;2024). Notably, the winter of 2023&#x2013;2024 experienced snowfall amounts 1.8 to 13.5 times greater than those in previous years, marking an exceptional anomaly. Snowfall distribution during this winter showed considerable accumulation in November, followed by sustained high levels of snowfall in the subsequent months. This notable shift in the timing and quantity of snowfall is expected to have implications for the region&#x2019;s seasonal hydrological and GST regimes. However, when comparing total snowfall during winter to the dynamics of the aufeis area, a correlation coefficient of R<sup>2</sup> &#x3d; 0.31 was observed (<xref ref-type="fig" rid="F9">Figure 9B</xref>), indicating that snowfall does not significantly impact fluctuations in the aufeis area.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Snowfall distribution and aufeis areas from 2009 to 2024. <bold>(A)</bold> Histogram of snowfall distribution across winter months. <bold>(B)</bold> Correlation between snowfall amount and aufeis area.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g009.tif">
<alt-text content-type="machine-generated">Bar graph (A) shows snowfall in millimeters from 2009 to 2024, with total annual values peaking in 2023-2024 at 498 mm. Monthly data is color-coded: November (red), December (blue), January (green), February (dark red), March (yellow). Scatter plot (B) illustrates a positive correlation between area and snowfall, with an R-squared value of 0.31.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<sec id="s5-1">
<title>5.1 Origin of aufeis</title>
<p>Resistivity is strongly influenced by moisture content, with dry materials exhibiting significantly higher resistivity than moist or saturated ones (<xref ref-type="bibr" rid="B82">Telford et al., 1990</xref>). Based on ERT measurements (<xref ref-type="fig" rid="F5">Figure 5</xref>), four distinct subsurface layers were identified. Sections with resistivity values between 45.0 &#x2126;&#xb7;m and 112 &#x2126;&#xb7;m are classified as moist alluvium. This is due to the presence of dissolved ions in pore water, which enhance electrical conductivity and thus reduce resistivity (<xref ref-type="bibr" rid="B71">Reynolds, 2011</xref>; <xref ref-type="bibr" rid="B30">Fitts, 2012</xref>). In contrast, sections with resistivity values between 112 &#x2126;&#xb7;m and 440 &#x2126;&#xb7;m correspond to low-moisture alluvium.</p>
<p>Surface layers with high resistivity values (&#x3e;694 &#x2126;&#xb7;m) are interpreted as permafrost, since frozen ground lacks liquid water, thereby significantly reducing ionic conductivity (<xref ref-type="bibr" rid="B41">Hauck, 2002</xref>; <xref ref-type="bibr" rid="B71">Reynolds, 2011</xref>). According to the permafrost distribution map of Mongolia, the study area is located within a sporadic permafrost zone (<xref ref-type="bibr" rid="B94">Yamkhin et al., 2022</xref>). Previous studies have also documented permafrost at depths of 2&#x2013;6 m in clay and clay loam soils within moist, swampy valleys of small rivers in Ulaanbaatar, including the Uliastai, Selbe, and Tolgoit Rivers (<xref ref-type="bibr" rid="B25">Dashtseren, 2008</xref>).</p>
<p>Subsurface layers at greater depths showing similarly high resistivity values are interpreted as bedrock. Dense igneous and metamorphic rocks&#x2014;such as granite, basalt, and marble&#x2014;typically exhibit high resistivity due to their low porosity and minimal water content (<xref ref-type="bibr" rid="B68">Palacky, 1987</xref>; <xref ref-type="bibr" rid="B82">Telford et al., 1990</xref>; <xref ref-type="bibr" rid="B71">Reynolds, 2011</xref>). Although permafrost and bedrock have similar resistivity values, their primary distinction lies in their depth of existence. According to our ERT results, bedrock is inferred to be present at depths ranging from 20 to 45 m below the surface (<xref ref-type="fig" rid="F5">Figure 5</xref>), whereas permafrost typically occurs at much shallower depths of 2&#x2013;6 m in this region (<xref ref-type="bibr" rid="B25">Dashtseren, 2008</xref>).</p>
<p>The results from ERT Profile 1 identified a fault between the permafrost and bedrock, coinciding with the location of the spring source (<xref ref-type="fig" rid="F5">Figure 5A</xref>). In general, tectonic faults in hard rock terrain are common sources of groundwater. The chemical analysis showed relatively high-water hardness, confirming that the spring water originates from a groundwater source (<xref ref-type="table" rid="T3">Table 3</xref>; <xref ref-type="bibr" rid="B84">Todd and Mays, 2005</xref>; <xref ref-type="bibr" rid="B30">Fitts, 2012</xref>; <xref ref-type="bibr" rid="B76">Sengupta, 2013</xref>). The water temperature measurement findings indicate that the minimum temperature of spring water is 1.51&#xb0;C, confirming the perennial spring (<xref ref-type="fig" rid="F6">Figure 6A</xref>). During winter, the perennial spring water loses heat and freezes along the stream, contributing significantly to annual aufeis formation (<xref ref-type="fig" rid="F6">Figures 6C,E</xref>; <xref ref-type="bibr" rid="B39">Harden et al., 1977</xref>; <xref ref-type="bibr" rid="B87">Turcotte et al., 2023</xref>).</p>
<p>Chemical analysis reveals that the hardness values of spring water, river water, and pond outlet water are 3.56 mg-eq/dm<sup>3</sup>, 1.72 mg-eq/dm<sup>3</sup>, and 1.80 mg-eq/dm<sup>3</sup>, respectively, indicating that the pond is fed by spring and river water (<xref ref-type="table" rid="T3">Table 3</xref>). The relatively high hardness of spring water shows that it has likely percolated through mineral-rich soils and rocks, dissolving calcium and magnesium ions and increasing water hardness (<xref ref-type="bibr" rid="B84">Todd and Mays, 2005</xref>; <xref ref-type="bibr" rid="B30">Fitts, 2012</xref>). The spatial distribution of aufeis (<xref ref-type="fig" rid="F2">Figure 2</xref>) shows that, except for the winter of 2023&#x2013;2024, aufeis predominantly occurs around the pond, indicating the contribution of river water to the aufeis process. However, during the winter of 2023&#x2013;2024, aufeis was observed downstream of the pond, encompassing an area 1.5 to 5.5 times larger than in previous years (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<p>The ERT surveys revealed that, in previous years, aufeis mainly occurred in areas with low soil moisture contents (<xref ref-type="fig" rid="F5">Figures 5C,D</xref>), while in 2023&#x2013;2024, it shifted to regions with relatively higher soil moisture contents (<xref ref-type="fig" rid="F5">Figures 5D&#x2013;F</xref>). We conducted electrical resistivity tomography (ERT) measurements along Profile 4 at the same location during the autumns of 2023 and 2024 (see <xref ref-type="sec" rid="s13">Supplementary Material</xref> for ERT results). The total precipitation prior to the measurements differed between the two years, 338.5 mm in 2023 and 217.4 mm in 2024. However, the ERT results were similar for both years, suggesting that the soil moisture regime in the study area is more influenced by underlying geological conditions than by annual variations in precipitation.</p>
<p>According to the borehole data from BH-2, the subsurface consists of silty loam from 0 to 2.5 m depth, sandy clay loam from 2.5 to 3.5 m, and clay loam with fine-grained gravel from 3.5 to 6 m (<xref ref-type="fig" rid="F5">Figure 5G</xref>). Since silty loam and sandy clay loam have higher permeability than clay loam, these upper layers (0&#x2013;3.5 m) likely allow for greater water infiltration, resulting in the presence of moist alluvium. In contrast, the low-permeability clay loam layer found at depths of 3.5&#x2013;6 m prevents downward water infiltration and retains water above it.</p>
<p>In BH-1, a low-permeability yellow clay loam layer was identified at depths of 0.5&#x2013;2.5 m (<xref ref-type="fig" rid="F5">Figure 5G</xref>). This layer likely impedes the downward movement of surface water, thereby reducing moisture content in the underlying strata and resulting in higher electrical resistivity values.</p>
<p>Aufeis in these areas may influence air and ground temperatures more significantly than snow-covered surfaces because of the higher thermal conductivity of ice than snow (<xref ref-type="bibr" rid="B5">Arenson et al., 2021</xref>). This enhanced heat transfer can lead to more rapid freezing of the soil. As the soil freezes, it undergoes expansion and creates upward pressure on unfrozen soil water. This water migrates through overlying, less dense soil layers and accumulates near the surface, contributing to the development of ground aufeis (<xref ref-type="fig" rid="F10">Figure 10</xref>; <xref ref-type="bibr" rid="B15">Carey, 1973</xref>; <xref ref-type="bibr" rid="B48">Kane, 1981</xref>; <xref ref-type="bibr" rid="B97">Yu et al., 2005</xref>; <xref ref-type="bibr" rid="B91">Woo, 2012</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Drone images captured during fieldwork on 2024-03-06.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g010.tif">
<alt-text content-type="machine-generated">Drone composite image taken on March 6, 2024, showing aufeis formation within a settlement area. The image distinguishes between ground aufeis and mixed spring and river aufeis. Two inset images highlight ground aufeis originating from beneath a pit latrine and a yurt, confirming subsurface sources. Some buildings are enclosed by fences.</alt-text>
</graphic>
</fig>
<p>Drone imagery revealed that areas where soil water emerged were closely associated with pit latrines and the ground beneath yurts (<xref ref-type="fig" rid="F10">Figure 10</xref>). The hollow spaces beneath pit latrines facilitated the upward movement of soil water toward the surface. Additionally, the ground temperature beneath yurts remained above freezing during the winter because of indoor heating, maintaining the ground temperatures above freezing, and allowing soil water to migrate toward the surface. Although this study did not directly observe overflow events, the differences in soil moisture have contributed to aufeis development by facilitating water migration toward the surface through pit latrines and thawed zones beneath yurts, thus expanding the area affected by aufeis formation (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>General processes of Bumbat aufeis formation. <bold>(A)</bold> Aufeis formed in past winters. <bold>(B)</bold> Aufeis formed during the 2023&#x2013;2024 winter.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g011.tif">
<alt-text content-type="machine-generated">The two 3D models illustrate the spatial distribution changes of aufeis formation between previous years and the winter of 2023&#x2013;2024. Model (A), labeled &#x201c;Past winters,&#x201d; shows thin snow cover, a narrow stream, a spring, and a pond, with aufeis forming around the pond area. Model (B), labeled &#x201c;2023&#x2013;2024 winter,&#x201d; differs from (A) by showing aufeis formation shifting spatially into a settlement area. This shift suggests that soil water beneath the surface contributed to the expansion of the aufeis field through flow beneath the yurt and pit latrines.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s5-2">
<title>5.2 Natural factors influencing the spatial distribution of aufeis</title>
<p>The analysis of aufeis dynamics and its correlation with climatic factors over the past years indicates that air temperature regimes have minimal impact on the extent of aufeis. In contrast, the amount of precipitation clearly influenced the changes in aufeis dynamics (<xref ref-type="fig" rid="F8">Figure 8B</xref>). While several studies suggest that precipitation and air temperature regimes affect aufeis dynamics (<xref ref-type="bibr" rid="B64">Morse and Wolfe, 2015</xref>; <xref ref-type="bibr" rid="B52">Lainis et al., 2024</xref>), this discrepancy may stem from variations in aufeis sources. Specifically, aufeis formed by springs is less influenced by seasonal weather changes (<xref ref-type="bibr" rid="B87">Turcotte et al., 2023</xref>) because the thermal regime of groundwater is primarily controlled by underground conditions, rendering it less susceptible to direct changes in air temperature.</p>
<p>The analysis reveals a strong correlation between spring stream temperatures and air temperatures, with the spring streams freezing during specific winter periods (<xref ref-type="fig" rid="F6">Figures 6C&#x2013;F</xref>). Generally, the water emerging from perennial springs freezes along the stream under cold conditions unless it discharges directly into major rivers or lakes or rapidly infiltrates into the ground (<xref ref-type="bibr" rid="B87">Turcotte et al., 2023</xref>). When the spring water stream freezes, it blocks the flow of spring water into ponds, causing the water to surface and freeze, thus leading to aufeis (<xref ref-type="bibr" rid="B15">Carey, 1973</xref>; <xref ref-type="bibr" rid="B96">Yoshikawa et al., 2007</xref>; <xref ref-type="bibr" rid="B28">Ensom et al., 2020</xref>).</p>
<p>During the winter of 2023&#x2013;2024, snowfall amounts were exceptionally high compared with previous years (<xref ref-type="fig" rid="F9">Figure 9</xref>). The freezing <italic>n</italic>-factor values recorded at GST-1, GST-2, and GST-3 during this period ranged from 0.05 to 0.11, highlighting the insulating effect of snow cover (<xref ref-type="fig" rid="F7">Figures 7A&#x2013;C</xref>). Snow cover is critical in influencing the thermal regime between the atmosphere and the ground surface during the cold season (<xref ref-type="bibr" rid="B98">Zhang, 2005</xref>). In Mongolia, a snow layer 10&#x2013;20 cm thick can increase the surface temperature by 4&#xb0;C&#x2013;6&#xb0;C during winter (<xref ref-type="bibr" rid="B77">Sharkhuu and Anarmaa, 2015</xref>).</p>
<p>Consequently, spring water that surfaced onto unfrozen ground flowed along the snow-covered surfaces and accumulated in low-lying areas. Evidence of this phenomenon was observed on 4 January 2024, when drilling in the study area revealed water flowing beneath the snow cover (<xref ref-type="fig" rid="F12">Figure 12</xref>). Additionally, data from the GST-4 surface temperature (<xref ref-type="fig" rid="F7">Figure 7D</xref>) demonstrated a reduction in surface temperature when the spring stream was frozen, indicating that a decrease in surface temperature resulted from spring water flowing over the surface, potentially forming a thin aufeis layer. Drone surveys conducted on 15 April 2024, after the snow cover had melted (<xref ref-type="fig" rid="F3">Figure 3</xref>), indicated that this thin layer of aufeis likely melted along with the snow cover.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Photos captured during fieldwork on 2024-01-04.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g012.tif">
<alt-text content-type="machine-generated">Two field photos taken on January 4, 2024, showing a snowy landscape. The first image depicts spring water flowing beneath a thick snow cover, while the second image shows the accumulated spring water around the settlement area.</alt-text>
</graphic>
</fig>
<p>These findings illustrate that thick snow cover can significantly alter the surface thermal regime, leading to changes in the spatial distribution of aufeis fed by perennial springs.</p>
<p>Finally, the thick snow cover during the winter of 2023&#x2013;2024 altered the ground surface thermal regime. When the spring stream froze, spring water flowed beneath the snow and accumulated in low-lying areas of the settlement area, resulting in a shift in the spatial distribution of aufeis. Consequently, the ground thermal regime in the area changed, causing soil water to rise to the surface through the ground beneath yurts and pit latrines, thus expanding the aufeis area (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>).</p>
</sec>
<sec id="s5-3">
<title>5.3 Effects of changes in the spatial distribution of aufeis on society</title>
<p>Interviews with residents and satellite imagery analysis indicated that in previous years, aufeis near pond areas did not threaten nearby settlements (<xref ref-type="fig" rid="F2">Figure 2</xref>). However, aufeis occurred within settlement areas during the winter of 2023&#x2013;2024, significantly damaging many households and displacing numerous families, as their yurts, furniture, and belongings were rendered unusable by aufeis (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F13">13</xref>).</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>A household relocated due to aufeis.</p>
</caption>
<graphic xlink:href="feart-13-1611054-g013.tif">
<alt-text content-type="machine-generated">Satellite imagery comparison of the same area shown in two panels. The left panel, dated June 2023, depicts the summer season. The right panel, dated April 2024, shows the area covered with snow and highlights the aufeis-affected area with an arrow. It illustrates that a household visible in the first image had to relocate due to the aufeis formation. Both images include direction indicators and scale bars.</alt-text>
</graphic>
</fig>
<p>Another serious concern linked to the Bumbat aufeis is NH<sub>4</sub> pollution. Chemical analyses of the aufeis samples revealed elevated NH<sub>4</sub> concentrations, particularly in the lower sections of the aufeis, where levels exceeded background concentrations (<xref ref-type="table" rid="T3">Table 3</xref>). Soil water migrating toward the surface through pit latrines contributed to an expansion in the aufeis area (<xref ref-type="fig" rid="F10">Figure 10</xref>).</p>
<p>Aufeis does not typically exhibit elevated NH<sub>4</sub> levels. In some regions of High Mountain Asia, aufeis is actively utilized in local irrigation systems and is not considered problematic (<xref ref-type="bibr" rid="B74">Schmidt and N&#xfc;sser, 2017</xref>; <xref ref-type="bibr" rid="B14">Brombierst&#xe4;udl et al., 2024</xref>). Nevertheless, in this particular case, the aufeis is fed by sewage-contaminated water due to inadequate sanitation infrastructure. Wastewater from human activities accumulates in pit latrines, increasing NH<sub>4</sub> concentrations in the soil water (<xref ref-type="bibr" rid="B67">Oyunbat et al., 2022</xref>), which contributes to aufeis formation and expansion.</p>
<p>As a result, aufeis polluted with NH<sub>4</sub> poses a health risk to residents in the affected areas and the broader population. High NH<sub>4</sub> concentrations are known to cause respiratory irritation and inflammation (<xref ref-type="bibr" rid="B72">Roney and Fernando, 2016</xref>) and can increase the risk of asthma in preschool children (<xref ref-type="bibr" rid="B43">Holst et al., 2018</xref>).</p>
</sec>
<sec id="s5-4">
<title>5.4 Limitations</title>
<p>This study utilized satellite imagery data to examine the natural factors influencing changes in the spatial distribution of Bumbat aufeis over the past 15 years. Due to the inherent limitations associated with satellite products, particularly cloud and snow cover, estimating the aufeis distribution for 2012, 2015, 2016, 2017, 2021, and 2022 could not be performed.</p>
<p>Additionally, drone surveys provided high-accuracy measurements of the aufeis area and thickness. However, when estimating the thickness of the aufeis using a DEM generated from drone imagery, distinguishing the snow cover from the underlying ice was impossible. This limitation reduced the accuracy of the aufeis thickness measurements. Nevertheless, since this study focused on changes in the aufeis area rather than its thickness, the impact of this issue on the overall research findings was minimal.</p>
<p>In this study, the Wenner-Schlumberger array was selected for ERT measurements due to its balanced sensitivity to both vertical and horizontal resistivity variations (<xref ref-type="bibr" rid="B69">Pazdirek and Bl&#xe1;ha, 1996</xref>), making it suitable for characterizing subsurface structures related to aufeis. However, this array has moderate sensitivity to shallow features compared to other configurations, such as dipole-dipole (<xref ref-type="bibr" rid="B22">Dahlin and Zhou, 2004</xref>), which may limit the resolution of near-surface moisture variations important for aufeis formation.</p>
<p>Additionally, the resolution of deep subsurface structures may be limited by the increasing electrode spacing, particularly in areas with heterogeneous geology. This may affect the accuracy of delineating the boundary between permafrost and bedrock, especially when both materials exhibit similarly high resistivity values. Furthermore, inversion artifacts can occur depending on the subsurface conditions and data quality, potentially leading to misinterpretation of resistivity anomalies. In our case, the interpretation of high-resistivity layers at depths of 20&#x2013;45 m as bedrock and those at 2&#x2013;6 m as permafrost is based on a combination of resistivity values and prior studies.</p>
<p>Future studies may benefit from the integration of multiple arrays (e.g., combining Wenner-Schlumberger with dipole-dipole) or three-dimensional ERT surveys to improve spatial resolution and reduce interpretational ambiguity.</p>
<p>Despite these limitations, the authors believe this research study provides valuable insights into the dynamics of aufeis processes in this region.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>This study investigated the origins, spatial distribution, natural factors influencing aufeis, and its social impacts in Ulaanbaatar, the capital city of Mongolia, where aufeis occurs annually. Aufeis primarily originates from perennial springs and rivers and varies in size annually. It typically begins to form in early November, gradually expands throughout the winter, and reaches its maximum extent by March. Melting generally occurs in early May.</p>
<p>Among the environmental drivers, precipitation was found to significantly influence aufeis dynamics, whereas air temperature had a minimal direct effect. The extent of aufeis is closely linked to the amount of precipitation preceding its formation, in combination with local geological and permafrost-hydrogeological conditions. Heavy snow cover can modify the surface thermal regime of spring-fed aufeis fields, altering their spatial distribution. Such changes not only affect landscape processes but also pose safety risks and property damage to residents in affected areas.</p>
<p>Furthermore, the absence of adequate infrastructure in certain settlements allows polluted surface and soil water to enter the aufeis formation process, intensifying environmental contamination. This introduces potential public health risks for both local communities and the broader urban population.</p>
<p>The methods and findings presented in this study are applicable to other cold, semi-arid urban, and peri-urban environments experiencing similar hydrogeological and climatic conditions. Future research could expand on this work by incorporating longer-term time series, including historical satellite imagery, and deploying sensor networks to monitor subsurface hydrological dynamics. Additionally, integrating remote sensing, geophysical surveys, and water quality analysis offers promising avenues to better understand the interaction between human activity and natural aufeis processes. These combined approaches can enhance early warning systems, guide urban planning, and support adaptation strategies in cold-region cities.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s13">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>GU: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. TW: Software, Supervision, Writing &#x2013; review and editing. AD: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing &#x2013; review and editing. DN: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing &#x2013; review and editing. YJ: Data curation, Investigation, Resources, Supervision, Writing &#x2013; review and editing. GB: Writing &#x2013; original draft, Writing &#x2013; review and editing. KT: Investigation, Writing &#x2013; review and editing. GT-E: Investigation, Writing &#x2013; review and editing. DO: Investigation, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was funded by the Japan International Cooperation Agency (JICA).</p>
</sec>
<ack>
<p>We would like to express our heartfelt gratitude to the Japan International Cooperation Agency (JICA) and the Institute of Geography and Geoecology of the Academy of Sciences for their unwavering support and collaboration throughout this research. We are also sincerely thankful to the team at the non-governmental organization &#x201c;Amid-Baigal&#x201d; for providing the necessary conditions required to conduct field research and for ensuring the integrity of the research tools and equipment. Finally, we extend our deep appreciation to everyone who contributed to the successful implementation of this research study.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>Author YJ was employed by Geocryo LLC.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declare that Generative AI was used in the creation of this manuscript. Text editing assistance using ChatGPT.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s13">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/feart.2025.1611054/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2025.1611054/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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