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<front>
<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">875795</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.875795</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 Snowline and 0&#xb0;C Isotherm Altitudes During Precipitation Events in the Dry Subtropical Chilean Andes as Seen by Citizen Science, Surface Stations, and ERA5 Reanalysis Data</article-title>
<alt-title alt-title-type="left-running-head">Schauwecker et al.</alt-title>
<alt-title alt-title-type="right-running-head">Snowline in the Chilean Andes</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Schauwecker</surname>
<given-names>Simone</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1675726/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Palma</surname>
<given-names>Gabriel</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1679056/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>MacDonell</surname>
<given-names>Shelley</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/907457/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ayala</surname>
<given-names>&#xc1;lvaro</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/738940/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Viale</surname>
<given-names>Maximiliano</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/595442/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Centro de Estudios Avanzados en Zonas &#xc1;ridas (CEAZA)</institution>, <addr-line>La Serena</addr-line>, <country>Chile</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Waterways Centre for Freshwater Management</institution>, <institution>University of Canterbury and Lincoln University</institution>, <addr-line>Christchurch</addr-line>, <country>New Zealand</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Instituto Argentino de Nivolog&#xed;a, Glaciolog&#xed;a y Ciencias Ambientales (IANIGLA-CONICET)</institution>, <addr-line>Mendoza</addr-line>, <country>Argentina</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/112115/overview">Alexandre M. Ramos</ext-link>, University of Lisbon, Portugal</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/1682738/overview">Justin Minder</ext-link>, University at Albany, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1689303/overview">Anna Wilson</ext-link>, University of California, San Diego, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Simone Schauwecker, <email>simone.schauwecker@ceaza.cl</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmospheric Science, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>875795</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Schauwecker, Palma, MacDonell, Ayala and Viale.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Schauwecker, Palma, MacDonell, Ayala and Viale</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>Understanding the variability of the snowline and the closely related 0&#xb0;C isotherm during infrequent precipitation events in the dry Andes in Chile is fundamental for precipitation, snow cover, and discharge predictions. For instance, it is known that on the windward side of mountains, the 0&#xb0;C isotherm can be several hundreds of meters lower than on the free air upwind counterpart, but little is understood about such effects in the Andes due to missing <italic>in situ</italic> evidence on the precipitation phase. To bridge this gap, 111 photographs of the snowline after precipitation events between 2011 and 2021 were gathered in the frame of a citizen science programme to estimate the snowline altitude. Since photographs of the mountain snowline are in good agreement with Sentinel-2 imagery, they have great potential to validate empirical snowline estimations. Using the snowline altitude from the photos, we evaluated different methods to estimate the snowline and 0&#xb0;C isotherm altitude during precipitation events based on surface meteorological observations and ERA5 reanalysis data. We found a high correlation between the observed snowline altitude and the extrapolated 0&#xb0;C isotherm based on constant lapse rates (&#x2212;5.5 to &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>) applied to air temperature from single, near stations. However, uncertainty increases for distances &#x3e;10&#xa0;km. The results also indicate that the linear regression method is a good option to estimate Z<sub>SL</sub>, but the results strongly depend on the availability of high-elevation station datasets. During half of the precipitation events, the 0&#xb0;C isotherm lies between &#x223c;1,800 and &#x223c;2,400&#x2013;2,500&#xa0;m asl. in winter, and the snowline is on average &#x223c;280&#xa0;m below this altitude. Our results indicate the presence of a mesoscale lowering of the 0&#xb0;C isotherm over the windward slopes compared to the free-air upwind value during precipitation events and a possible isothermal layer of near-freezing air temperatures comparable to other mountain ranges. Due to this mesoscale and local behavior, ERA5 data generally overestimate the snow&#x2013;rain transition in high-elevation areas, especially for relatively intense events. On the other hand, the 0&#xb0;C isotherm altitude is underestimated if only low-elevation valley stations are considered, highlighting the importance of high-altitude meteorological stations in the network.</p>
</abstract>
<kwd-group>
<kwd>0&#xb0;C isotherm</kwd>
<kwd>freezing level</kwd>
<kwd>melting level</kwd>
<kwd>precipitation</kwd>
<kwd>snow&#x2013;rain transition</kwd>
<kwd>citizen science</kwd>
<kwd>dry subtropical Andes</kwd>
<kwd>ERA5 data</kwd>
</kwd-group>
<contract-num rid="cn001">P2ZHP2_187765</contract-num>
<contract-sponsor id="cn001">Schweizerischer Nationalfonds zur F&#xf6;rderung der Wissenschaftlichen Forschung<named-content content-type="fundref-id">10.13039/501100001711</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Over the semi-arid Andes of Chile, most frontal storms occur in winter and usually leave snow at high elevations. After such precipitation events, a clear horizontal snowline (Z<sub>SL</sub>) divides the snow-covered mountain tops from the lower, snow-free areas, and valley floors. The altitude of the snowline is closely linked to the altitude of the 0&#xb0;C isotherm (Z<sub>0C</sub>) and defines the pluvial area of mountainous catchments. A difference of a few hundred meters between a cold and a warm event can, therefore, induce a significant difference in the pluvial area with quite distinct consequences for discharge and floods (<xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al., 2020</xref>; <xref ref-type="bibr" rid="B58">White et al., 2002</xref>). During the last four decades, the snow&#x2013;rain transition altitude has increased over global land surfaces (<xref ref-type="bibr" rid="B41">Prein and Heymsfield, 2020</xref>), and a further upward shift is expected in the future, altering snow pack dynamics and streamflow timing and amount (<xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>; <xref ref-type="bibr" rid="B24">Jara et al., 2021</xref>). Appropriate methods to estimate the event-to-event variability and spatial patterns of the snow&#x2013;rain transition over mountainous regions are, therefore, crucial for the assessment of precipitation triggered natural hazards (<xref ref-type="bibr" rid="B53">Vergara Dal Pont et al., 2018</xref>), hydrological modeling, and monitoring of snow cover (<xref ref-type="bibr" rid="B20">Harpold et al., 2017</xref>), glaciers, and runoff (<xref ref-type="bibr" rid="B23">Immerzeel et al., 2014</xref>; <xref ref-type="bibr" rid="B47">Schauwecker et al., 2017</xref>; <xref ref-type="bibr" rid="B30">Lute and Abatzoglou, 2020</xref>) and also for meteorological forecasts needed for the navigability of roadways, tourism, or agriculture (<xref ref-type="bibr" rid="B59">White et al., 2010</xref>; <xref ref-type="bibr" rid="B50">Th&#xe9;riault et al., 2012</xref>; <xref ref-type="bibr" rid="B49">Sumargo et al., 2020</xref>).</p>
<p>The terms snowline (Z<sub>SL</sub>), 0&#xb0;C isotherm (Z<sub>0C</sub>), and snow&#x2013;rain transition have distinct definitions and sometimes there is confusion between them. The snowline (Z<sub>SL</sub>) is usually defined as the actual lower limit of the snow cover on the ground (<xref ref-type="bibr" rid="B2">AMS, 2021</xref>). Whether snow accumulates on the ground or instantaneously melts depends on the conditions of the soil such as surface temperature and vegetation type. Z<sub>0C</sub> is usually defined as the lowermost altitude in the atmosphere with 0&#xb0;C and corresponds approximately to the altitude where ice crystals and snowflakes begin to melt as they descend through the atmosphere (<xref ref-type="bibr" rid="B2">AMS, 2021</xref>). In most meteorological weather forecasts, the altitude of Z<sub>0C</sub> is used to refer to the snow&#x2013;rain transition, but this term is ambiguous because, in reality, the snow does not transform instantaneously into rain (<xref ref-type="bibr" rid="B36">Minder and Kingsmill, 2013</xref>). The transition occurs within an atmospheric altitude interval of several hundred meters, the so-called snow&#x2013;rain transition zone (or melting layer, <xref ref-type="fig" rid="F1">Figure 1</xref>). During precipitation, Z<sub>0C</sub> lies at the top of the snow&#x2013;rain transition zone in which both frozen and liquid hydrometeors coexist (<xref ref-type="bibr" rid="B2">AMS, 2021</xref>). Below the Z<sub>0C</sub> altitude, an isothermal layer of nearly 0&#xb0;C may form (<xref ref-type="bibr" rid="B12">Findeisen, 1940</xref>; <xref ref-type="bibr" rid="B32">Marwitz, 1983</xref>; <xref ref-type="bibr" rid="B52">Unterstrasser and Z&#xe4;ngl, 2006</xref>; <xref ref-type="bibr" rid="B51">Th&#xe9;riault et al., 2015</xref>). In general, an isothermal layer is defined as a vertical column of air having a constant temperature with height. Such an isothermal layer of near 0&#xb0;C or slightly warmer occurs, for example, during intense stratiform precipitation or over mountainous regions if the initial Z<sub>0C</sub> is sufficiently far below the crest height of the surrounding mountain ridges so that the air mass in the valley becomes decoupled from the environmental flow aloft. If this happens, latent heat for melting falling snow is removed from the valley air until the snowline reaches the valley bottom, forming thick air layers at near 0&#xb0;C. This diabatic cooling effect is enhanced with high precipitation intensities (<xref ref-type="bibr" rid="B50">Th&#xe9;riault et al., 2012</xref>) and this zone can reach up to 1&#xa0;km deep (<xref ref-type="bibr" rid="B32">Marwitz, 1983</xref>), depending on the complex interplay between air humidity and temperature profiles and hydrometeor size, density, type, and fall velocity (<xref ref-type="bibr" rid="B34">Matsuo and Sasyo, 1981</xref>). Despite its importance, the formation of an isothermal layer is not considered in most air temperature extrapolation approaches.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Scheme showing the terminology used in this work (adapted from <xref ref-type="bibr" rid="B38">Minder et al., 2011</xref>). Black dashed lines show the altitude of the 0&#xb0;C isotherm (Z<sub>0C</sub>) and the snowline (Z<sub>SL</sub>). The difference between the mountainside Z<sub>0C</sub> and Z<sub>SL</sub> is named Z<sub>D</sub>, and &#x3b4;<sub>0C</sub> is the displacement between the mountainside Z<sub>0C</sub> and its upwind value (also called &#x201c;lowering&#x201d;). The red dashed line shows a typical vertical air temperature profile when an isothermal layer forms; Schematic diagrams illustrating the three methods used: <bold>(B)</bold> M1, <bold>(C)</bold> M2, and <bold>(D)</bold> M3.</p>
</caption>
<graphic xlink:href="feart-10-875795-g001.tif"/>
</fig>
<p>In addition to the isothermal layer, there are other mechanisms that need to be considered to study the mesoscale variability of the snowline. Even though the mountainside Z<sub>0C</sub> is closely tied to the free troposphere Z<sub>0C</sub> during precipitation events, Z<sub>0C</sub> over windward slopes of mountains can be several hundred meters below the free atmosphere counterpart, as illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref> (<xref ref-type="bibr" rid="B35">Medina et al., 2005</xref>; <xref ref-type="bibr" rid="B38">Minder et al., 2011</xref>; <xref ref-type="bibr" rid="B6">Cui et al., 2020</xref>). This offset&#x2014;called mesoscale lowering of Z<sub>0C</sub>&#x2014;has been found to be, for example, on average, 170&#xa0;m for the Sierra Nevada (<xref ref-type="bibr" rid="B36">Minder and Kingsmill, 2013</xref>). Due to this mesoscale phenomenon, the Z<sub>0C</sub> measured by radiosonde data on the coast might be higher than its counterpart over the mountains in Chile when it is raining, leading to uncertainties in hydrological modeling. For instance, <xref ref-type="bibr" rid="B38">Minder et al. (2011)</xref> named three main mechanisms for the mesoscale lowering of Z<sub>0C</sub> over mountains: 1) Orographically enhanced hydrometeors population over the mountain slopes leads to more latent cooling of the air by the melting of precipitation; 2) the melting distance of the hydrometeors in the snow&#x2013;rain transition zone might increase over mountains; and 3) adiabatic cooling and expansion of air parcels that are forced to rise over a topographic barrier. Here, we do not focus on the role of the different mechanisms causing a mesoscale drop of Z<sub>0C</sub>, but rather, we examine whether there is a lowering with potential implications for mountain hydroclimate.</p>
<p>Even if the decrease of Z<sub>0C</sub> of several hundred meters might have important implications for snow accumulation and runoff, it has only been observed in model simulations by <xref ref-type="bibr" rid="B55">Viale et al. (2013)</xref>, but has not been studied in-depth or quantified so far for the Chilean Andes. The main challenge of studying this effect is in acquiring ground-based precipitation phase observations. In Continental Chile, there are only four radiosonde sites (Antofagasta, Santo Domingo, Puerto Montt, and Punta Arenas, <xref ref-type="fig" rid="F2">Figure 2A</xref>), which are all located at the coast and no ground radar observations are available as in other mountainous regions (<xref ref-type="bibr" rid="B9">Fabry and Zawadzki, 1995</xref>; <xref ref-type="bibr" rid="B58">White et al., 2002</xref>; <xref ref-type="bibr" rid="B29">Lundquist et al., 2008</xref>). Also, most weather stations are located in the lowlands or in valley bottoms, influenced by either maritime or continental mountainous near-surface conditions and so the assumption of free-atmosphere temperature lapse rates may not be valid. In addition, generally, satellite images are only able to provide snow cover a few days after the event (due to cloud cover or visiting frequency) when most snow has already disappeared&#x2014;especially on north-facing slopes (<xref ref-type="bibr" rid="B27">Lagos-Z&#xfa;&#xf1;iga and Vargas-Mesa, 2014</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Location of the study region (Coquimbo Region, Chile) and radiosonde launch sites in Chile. <bold>(B)</bold> Map of the study region with the location of photographic evidence from the participatory science programme and meteorological stations. The 2,000&#xa0;m asl. isoline is indicated with a brown line. The station numbers follow their elevational distribution from 1 (lowest) to 63 (highest). (Source: catchment outlines are from the CAMELS-CL dataset, <xref ref-type="bibr" rid="B1">Alvarez-Garreton et al., 2018</xref>, hydrological information is provided by the Chilean government, and topographic information comes from SRTM DEM. Topographic information and country outlines in the small map are provided by NASA EarthData).</p>
</caption>
<graphic xlink:href="feart-10-875795-g002.tif"/>
</fig>
<p>To fill the gap of missing measurements, this work is based on a set of photos of the mountainside snowline shortly after precipitation events. A photograph reveals <italic>in situ</italic> information about the snowline altitude and can be used to assess different methods to estimate the snow&#x2013;rain transition. Furthermore, a photo can deliver information on cloudy days when passive satellite sensors are not able to capture surface conditions. The photograph collection used in this work is the result of a citizen science programme promoted by the Centro de Estudios Avanzados en Zonas &#xc1;ridas (CEAZA). CEAZA is a regional research center located in the Coquimbo Region. Part of its mission is the promotion of the participation of the local community in science. This initiative has served to get the local society involved in science and to add value to science in society. Recently, snow cover monitoring using webcam images (<xref ref-type="bibr" rid="B40">Portenier et al., 2020</xref>), time-lapse cameras (<xref ref-type="bibr" rid="B28">Liu et al., 2015</xref>), or direct visual observations of the precipitation type (<xref ref-type="bibr" rid="B26">Knowles et al., 2006</xref>; <xref ref-type="bibr" rid="B13">Froidurot et al., 2014</xref>) have been used, but to our knowledge, the potential of photographs or any other direct visual inspection for validating extrapolation methods has not been published for the Andes.</p>
<p>The objectives of this work are as follows: 1) quantify Z<sub>0C</sub> and Z<sub>SL</sub> during precipitation events in the Coquimbo Region (<xref ref-type="fig" rid="F2">Figure 2B</xref>) with different methods and based on photographs, station data, and climate reanalysis; 2) present the strengths and limitations of the different methods; and 3) evaluate the possible existence of the mesoscale lowering of Z<sub>0C</sub> over the windward slope of the Andes and the appearance of isothermal layers.</p>
</sec>
<sec id="s2">
<title>2 Geographical Setting</title>
<p>The semi-arid Coquimbo Region of Chile (&#x223c;29&#x2013;32&#xb0;S) is located in the transitional zone between the hyper-arid Atacama Desert to the north and the temperate sector of Central Chile to the south. The region is bounded to the west by the Pacific Ocean and to the east by the high main divide of the Andes mountain range (&#x3e;5,000&#xa0;m), with its highest elevations only at a distance of about 150&#xa0;km from the coast (<xref ref-type="fig" rid="F2">Figure 2B</xref>). In the Coquimbo Region, there are three main large watersheds (from north to south: Elqui, Limar&#xed;, and Choapa), with extensive agricultural activities that highly depend on meltwater from the mountain cryosphere, mostly from the winter snow cover above approximately 2,000&#xa0;m asl., as indicated on the map.</p>
<p>The mean annual precipitation in low-lying regions is &#x223c;50&#xa0;mm in the Elqui River basin in the north of the Coquimbo Region and &#x223c;300&#xa0;mm for the Choapa River catchment in the south (<xref ref-type="bibr" rid="B11">Favier et al., 2009</xref>; <xref ref-type="bibr" rid="B1">Alvarez-Garreton et al., 2018</xref>). Due to the north&#x2013;south gradient in both air temperature and precipitation, we divided our studied region into two clusters named sub-regions Elqui (29.0&#x2013;30.55&#xb0;S) and Limar&#xed;/Choapa (30.55&#x2013;32.0&#xb0;S, <xref ref-type="fig" rid="F2">Figure 2B</xref>), following the suggestions by <xref ref-type="bibr" rid="B30">Lute and Abatzoglou (2020)</xref>. There is also a strong orographic precipitation enhancement, leading to over 300&#xa0;mm of annual precipitation in the upper Elqui river basin (&#x3e;3,000&#xa0;m asl.), while annual precipitation is less than 100&#xa0;mm at the coast (<xref ref-type="bibr" rid="B10">Falvey and Garreaud, 2009</xref>; <xref ref-type="bibr" rid="B11">Favier et al., 2009</xref>; <xref ref-type="bibr" rid="B45">Scaff et al., 2017</xref>). Over 90% of the total annual precipitation occurs during the austral winter (April&#x2013;September), and a large part of the annual precipitation falls during two to three events per year, which contribute 60% of the total precipitation at the coast and 40% at the highlands (<xref ref-type="bibr" rid="B45">Scaff et al., 2017</xref>). Heavy events and snow accumulation are strongly related to intense water vapor transport from the Pacific Ocean in the pre-cold&#x2013;front environment of extratropical cyclones, which have been named as atmospheric rivers (<xref ref-type="bibr" rid="B54">Viale and Nu&#xf1;ez, 2011</xref>; <xref ref-type="bibr" rid="B56">Viale et al., 2018</xref>; <xref ref-type="bibr" rid="B44">Saavedra et al., 2020</xref>). Since annual precipitation depends on a few winter storms, there is an extremely large interannual variability, largely modulated by the ENSO phenomenon (<xref ref-type="bibr" rid="B43">Rutllant and Fuenzalida, 1991</xref>). The last decade was especially dry in Central Chile (30&#x2013;38&#xb0;S), with most years showing below-normal annual precipitation, the so-called central Chile megadrought (<xref ref-type="bibr" rid="B15">Garreaud et al., 2017</xref>, <xref ref-type="bibr" rid="B16">2020</xref>).</p>
</sec>
<sec id="s3">
<title>3 Data and Methodology</title>
<p>In this work, we focus on the estimation of Z<sub>0C</sub> and Z<sub>SL</sub> during precipitation events. A precipitation day is often defined where a meteorological station records precipitation exceeding some threshold (1&#xa0;mm&#xa0;day<sup>&#x2212;1</sup>, <xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al., 2020</xref> or 5&#xa0;mm&#xa0;day<sup>&#x2212;1</sup>, <xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>). But the definition of a regionally significant precipitation event is not straightforward since precipitation can be local, of low intensity, or limited to the highest elevations where stations are scarce or do not record precipitation. Therefore, we here defined a precipitation day where at least three stations in the region recorded &#x2265;2&#xa0;mm. By using this criterion, days with marine drizzle producing only traces of rain on the coast are excluded. To apply this criterion, we used all stations within the Coquimbo Region (see <xref ref-type="fig" rid="F2">Figure 2B</xref>) with hourly precipitation records. Daily precipitation is computed starting from 00 local time (04 UTC). If precipitation days are separated by 1&#xa0;day or more the event was split.</p>
<sec id="s3-1">
<title>3.1 Methods for the Estimation of Z<sub>0C</sub> and Z<sub>SL</sub>
</title>
<sec id="s3-1-1">
<title>3.1.1 Z<sub>SL</sub> Derived From Photographs of Citizen Science Programme</title>
<p>To assess different methods that estimate Z<sub>0C</sub> or Z<sub>SL</sub>, we used photos collected in the frame of the citizen science programme &#x201c;Vecinos de las Nieves&#x201d; (<xref ref-type="bibr" rid="B4">CEAZA, 2021</xref>). In April 2021, we requested photos of past and current precipitation events <italic>via</italic> social networks (<xref ref-type="fig" rid="F3">Figure 3A</xref>), asking for the following information: location, name of the mountain, direction of the camera, date, and hour. By sending the photo, the participants agreed that the photo could be used for scientific purposes. Nearly 70 participants sent photos taken since 2011. In addition, we gathered photos from social networks (Facebook, Twitter, and Flickr). In total, 111 photographs were selected from 28 events over 11&#xa0;years (2011&#x2013;2021). All the photos (<xref ref-type="sec" rid="s11">Supplementary Figure S6</xref>) and the details (<xref ref-type="sec" rid="s11">Supplementary Table S2</xref>) can be found in the supplementary information. We selected the photos that fulfilled the following criteria:<list list-type="simple">
<list-item>
<p>- Date, hour, and location of the photo are available and can be verified.</p>
</list-item>
<list-item>
<p>- A clear snowline is visible and the resolution of the photo allows identifying its altitude.</p>
</list-item>
<list-item>
<p>- The photo was captured less than 48&#xa0;h after the end of precipitation according to the closest meteorological records. Most photos were taken &#x3c;12&#xa0;h after precipitation ended, but it must be noted that snow might melt or sublimate within a few hours.</p>
</list-item>
<list-item>
<p>- If there are several photos from the same site, we only selected the first one that was taken after the precipitation stopped.</p>
</list-item>
</list>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Social media flyer used to collect photos of the snowline. An example of <bold>(B)</bold> a photo of the snowline (M. Carmona 23 June 2021) and <bold>(C)</bold> isolines generated based on a DEM and visualized in Google Earth. The red points mark the visually identified snowline. The photo indicates Z<sub>SL</sub> of &#x223c;1,561&#xa0;m asl.</p>
</caption>
<graphic xlink:href="feart-10-875795-g003.tif"/>
</fig>
<p>The aim of the photograph analysis is to derive a representative value of Z<sub>SL</sub> per photo. To do so, three representative points on the mountain slope were drawn on the photo at the lowermost elevation with snow occurrence (<xref ref-type="fig" rid="F3">Figure 3B</xref>). The photo was then compared to isolines in the Google Earth software to estimate the elevation of the selected points using geological features as reference (<xref ref-type="fig" rid="F3">Figure 3C</xref>). The mean altitude of the three points was then calculated. Topographic isolines have a vertical distance of 12.5&#xa0;m and were computed based on the Advanced Land Observation Satellite (ALOS) Digital Elevation Model (DEM) (PALSAR 2011, from Japan Aerospace Exploration Agency, <xref ref-type="bibr" rid="B25">JAXA, 2011</xref>).</p>
<p>This method might be inappropriate in cases where new snow lies above the lower extent of the current snow cover. However, this did not occur in any of the photos. We expect that such events are infrequent in this arid region, mainly because precipitation events are often separated by several days or weeks and because snow melts/sublimates quickly at low altitudes (<xref ref-type="bibr" rid="B42">R&#xe9;veillet et al., 2020</xref>).</p>
<p>In the presented methodology, we compared the snowline altitude from the photos to the minimum Z<sub>0C</sub> during an event. The photos from two precipitation events of 8&#x2013;10 August 2015 and 10&#x2013;12 May 2017, both of which caused floods and mass movements in Vicu&#xf1;a and its surroundings (<xref ref-type="bibr" rid="B39">Palma, 2019</xref>), were not considered in the following analyses because air temperature significantly increased during the last hours of the event, probably causing rain on snow and leaving a significantly higher Z<sub>SL</sub> compared to the minimum Z<sub>0C</sub> during the event (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref> in the supplementary information). It seems thus that for events with increasing air temperatures during the last hours, the minimum Z<sub>0C</sub> is not a good estimator for the final Z<sub>SL</sub> after the event. For such events, the Z<sub>0C</sub> during the last relevant precipitation hours would be a better estimate. Other precipitation events with increasing air temperatures have been observed during the study period, but the increase only occurred during the final hours of the events and was accompanied by low precipitation intensities.</p>
<p>In addition, we excluded the photo from the event on 23&#x2013;24 June 2020, where the snowline from the photo clearly lay almost 600&#xa0;m above the minimum Z<sub>0C</sub> from nearby stations. The closest station, station 46 at a distance of 9&#xa0;km, showed a clear drop in air temperature, which probably did not occur at the photo site. For example, the nearby station 49 did not show this drop in air temperature. This case shows that a temperature drop at an individual station can lead to errors in the method.</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Z<sub>SL</sub> Derived From Satellite Images</title>
<p>We used the snow cover area maps derived from Sentinel-2 images at a spatial resolution of ca. 55&#xa0;m. The maps are automatically derived by the Sentinel-2 Level 2A processing using the Normalized Difference Snow Index (NDSI) (<xref ref-type="bibr" rid="B8">European Space Agency, 2022</xref>). To estimate Z<sub>SL</sub>, we used the approach presented by <xref ref-type="bibr" rid="B18">Gascoin et al. (2019)</xref>. We considered the area of the Elqui River basin, fitting a rectangle to the catchment area. We then selected all available snow cover area maps &#x3c;5&#xa0;days after precipitation events 2016&#x2013;2021, resulting in ten images. A DEM from the Shuttle Radar Topography Mission (SRTM) was used to segment the satellite image in elevation bands with a fixed height of 100&#xa0;m. Then, the fraction of the area covered by snow in each band was computed. The simple algorithm proposed by <xref ref-type="bibr" rid="B18">Gascoin et al. (2019)</xref> finds the lowest elevation band at which the snow cover fraction is greater than a given fraction <italic>fs</italic> selected as 2%. The value of Z<sub>SL</sub> is then the lower edge of that elevation band. It should be noted that <xref ref-type="bibr" rid="B18">Gascoin et al. (2019)</xref> selected the fraction fs of 10% and then defined the snowline in two elevation bands below that band. Here, we found that our criteria lead to a slightly higher correlation between the snowline altitude from satellites and photos. In total, we could verify the Z<sub>SL</sub> of 22 photos during 10 events.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Z<sub>0C</sub> Derived From Ground Stations</title>
<p>The Coquimbo Region contains a dense network of automatic meteorological stations maintained by the CEAZA research institute (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). Air temperature, precipitation and other variables are recorded at 10&#xa0;min intervals and then averaged to hourly data. Most stations were installed between 2004 and 2010, and their elevations range between sea level and 4,774&#xa0;m asl. Precipitation and air temperature data were used to estimate Z<sub>0C</sub> through three different traditional methods and for the period 2011&#x2013;2021.</p>
<p>The first method (M1, <xref ref-type="fig" rid="F1">Figure 1B</xref>) is based on data from a single meteorological station and the assumption that temperature decreases with altitude following a certain constant lapse rate (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>). We evaluate different typical free air temperature lapse rates under moisture saturated conditions, ranging from &#x2212;5 to &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B3">Blandford et al., 2008</xref>; <xref ref-type="bibr" rid="B37">Minder et al., 2010</xref>; <xref ref-type="bibr" rid="B17">Garreaud, 2013</xref>; <xref ref-type="bibr" rid="B19">Gonz&#xe1;lez and Garreaud, 2019</xref>; <xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al., 2020</xref>; <xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>). In addition, in hydrological models, a threshold temperature T<sub>SL</sub> of around 1&#x2013;2&#xb0;C is usually used to discriminate between snow and rain at certain elevation bands (<xref ref-type="bibr" rid="B46">Schaefli et al., 2005</xref>, <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>). This threshold temperature corresponds to the air temperature at which snowflakes can reach the ground below Z<sub>0C</sub> without melting (at the snowline) and therefore, in theory, relates to the offset Z<sub>D</sub> between Z<sub>0C</sub> and Z<sub>SL</sub>, see <xref ref-type="fig" rid="F1">Figure 1</xref>. The air temperature at the altitude of the snowline is, however, substantially uncertain and depends on a variety of variables such as humidity, precipitation rate, soil temperature or vegetation type. The equations are as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>T</mml:mtext>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>LR</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>and<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>T</mml:mtext>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>T</mml:mtext>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>LR</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where Z<sub>0C</sub> is the altitude of the 0&#xb0;C isotherm, Z<sub>SL</sub> is the snowline altitude, Z<sub>St</sub> and T<sub>St</sub> are station elevation and air temperature, T<sub>SL</sub> is the threshold air temperature at the snowline altitude, and LR is the air temperature lapse rate.</p>
<p>In detail, the following steps were performed to compare Z<sub>0C</sub> from <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> to Z<sub>SL</sub> from photos taken within a certain time after precipitation end (T<sub>1</sub>): For every station within a certain distance (D<sub>st</sub>) to the photo, Z<sub>0C</sub> was estimated with <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> and different LRs (&#x2212;5, &#x2212;5.5, &#x2212;6, and &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>) for all rainy hours (&#x2265;0.2&#xa0;mm&#xa0;h<sup>&#x2212;1</sup>) within a defined time window before the photo capture (T<sub>2</sub>). From the rainy hours, we then selected the hour with the lowest Z<sub>0C</sub>, assuming that this value is most decisive for the final snowline observed in the photo. For each photo and LR, we derived <italic>n</italic> values of Z<sub>0C</sub> depending on the number of stations within the searching distance. For each LR, the mean Z<sub>0C</sub> of the <italic>n</italic> values was compared to the Z<sub>SL</sub> for all photos. From all these data pairs per LR, mean offset, standard deviation (<italic>SD</italic>), and coefficient of determination (<italic>R</italic>
<sup>
<italic>2</italic>
</sup>) were computed. The highest <italic>R</italic>
<sup>
<italic>2</italic>
</sup> values indicate the most suitable LRs, and the coefficient of determination is an indicator of the uncertainty. The mean offset corresponds in part to the difference Z<sub>D</sub> between Z<sub>0C</sub> and Z<sub>SL,</sub> even though it might also be influenced by local conditions at the station or nearby the snowline and needs careful evaluation. Nevertheless, this offset was used to estimate <italic>T</italic>
<sub>
<italic>SL</italic>
</sub> (<italic>T</italic>
<sub>
<italic>SL</italic>
</sub> <italic>&#x3d; Z</italic>
<sub>
<italic>D</italic>
</sub>
<italic>&#x2027;LR</italic>), which is required for <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>. This equation was then applied to stations within 50&#xa0;km with the aim to better understand the behavior and representativeness of different stations to estimate Z<sub>SL</sub> with M1 in the function of distance and elevation (<xref ref-type="sec" rid="s11">Section 4.2.2</xref>).</p>
<p>The following decisions were made for the method M1: 1) D<sub>St</sub>: Stations within a 10&#xa0;km distance to the photo location were selected. If the distance is shorter, a considerable number of photos is not close enough to stations and needs to be excluded. If the distance is larger, the representativity of the stations decreases. 2) T<sub>1</sub>: We included only photos taken &#x2264;12&#xa0;h after precipitation end. Some of the selected photos were taken up to 24&#xa0;h after precipitation end and showed, in some cases, a relatively high snowline compared to Z<sub>0C</sub> since snow might have melted/sublimated already. If we include photos taken up to 48&#xa0;h after precipitation end, there might be a positive bias in snowline altitude estimates. 3) T<sub>2</sub>: The time window is 36&#xa0;h. A simple analysis has shown that the time window does not influence much the results. The window only defines which hours are included to search for the coldest wet hour, and in most cases, changing the window does not affect the value for the coldest wet hour.</p>
<p>The second method (M2, <xref ref-type="fig" rid="F1">Figure 1C</xref>) is based on a linear regression of hourly air temperature records for stations at different altitudes. For both study regions, CEAZA stations were selected according to their elevation, neglecting stations below 500&#xa0;m asl. or close to the coast (&#x3c;10&#xa0;km) since these stations might be influenced by the maritime climate (see green stations in <xref ref-type="fig" rid="F2">Figure 2B</xref>). To assess the sensitivity to high elevation stations (such as described by <xref ref-type="bibr" rid="B22">Ib&#xe1;&#xf1;ez et al., 2020</xref>), we estimated Z<sub>0C</sub> considering all stations (M2) and stations below 2,400&#xa0;m asl. (M2-low). Then, hourly temperature lapse rates and Z<sub>0C</sub> were estimated by fitting a linear regression to observed air temperature from all selected stations. Only the hours with at least three stations recording precipitation (&#x2265;0.2&#xa0;mm&#xa0;h<sup>&#x2212;1</sup>) and with <italic>R</italic>
<sup>2</sup> &#x2265; 0.5 were considered.</p>
<p>The third method (M3, <xref ref-type="fig" rid="F1">Figure 1D</xref>) estimates Z<sub>0C</sub> from the linear interpolation of air temperature recorded at the highest and lowest stations recording positive and negative air temperatures, respectively. Z<sub>0C</sub> is computed separately for Elqui and Limar&#xed;/Choapa.</p>
<p>For the methods M2 and M3, we used stations at a certain distance (D<sub>St)</sub> to identify hours with at least one station recording precipitation (&#x2265;0.2&#xa0;mm&#xa0;h<sup>&#x2212;1</sup>) and then selected the hour with the lowest Z<sub>0C</sub>. The following decisions were made: 1) the search distance D<sub>St</sub> is 25&#xa0;km. As in the method M1, we considered 2) only photos taken &#x2264;12&#xa0;h after precipitation end (T<sub>1</sub>) and 3) the time window is 36&#xa0;h (T<sub>2</sub>).</p>
</sec>
<sec id="s3-1-4">
<title>3.1.4 Z<sub>0C</sub> Derived From ERA5 Reanalysis Data</title>
<p>Hourly Z<sub>0C</sub> values were retrieved from ERA5, the most recent reanalysis product of the European Centre for Medium-Range Weather Forecasts (ECMWF), with an hourly temporal resolution and at a spatial resolution of &#x223c;31&#xa0;km (<xref ref-type="bibr" rid="B5">Copernicus Climate Change Service, 2017</xref>). Z<sub>0C</sub> is directly downloadable, and there is no need for interpolation of air temperature at different pressure levels. Since the variable from ERA5 is given in m above ground, it must be added to the ERA5 orography to get Z<sub>0C</sub> in meters above sea level.</p>
<p>Although the radiosonde data at the launching point are assimilated in ERA5 (<xref ref-type="bibr" rid="B21">Hersbach et al., 2020</xref>), there might be systematic biases between the two data sets that need to be considered (<xref ref-type="bibr" rid="B57">Virman et al., 2021</xref>). With the aim to assess the representativity of ERA5 data over the coast, we first compared Z<sub>0C</sub> from ERA5 to Z<sub>0C</sub> from the radiosonde data. The closest upper air sounding data are available at Santo Domingo (33.6547&#xb0;S, 71.6144&#xb0;W, 73&#xa0;m asl.), about 170&#xa0;km away from the southern edge of the Coquimbo Region. Radiosondes are released twice a day (00 and 12 UTC), and data are provided by the Integrated Global Radiosonde Archive (IGRA). We used freezing height from the radiosonde data (FRZHGT), defined as the height above the surface where the temperature first reaches the freezing point when the balloon moves upward from the surface. We then compared radiosonde freezing height to Z<sub>0C</sub> from ERA5 at the same time. The drift was not considered, since data of the maximum balloon drift distance for a 2&#xa0;year period (July 2007&#x2013;June 2009) is less than 14&#xa0;km (DriftPlotter software, <xref ref-type="bibr" rid="B48">Seidel et al., 2011</xref>). The SYNOP messages from the same location (Santo Domingo, 33.39&#xb0;S, 71.37&#xb0;W, 75&#xa0;m) were used to check if it was raining or not during the sounding launch. We found that the correlation between Z<sub>0C</sub> from ERA5 and radiosonde data is very high, both for all days (<italic>R</italic>
<sup>2</sup> &#x3d; 0.95 for 00 UTC and <italic>R</italic>
<sup>2</sup> &#x3d; 0.96 for 12 UTC) and for rainy conditions (<italic>R</italic>
<sup>2</sup> &#x3d; 0.95, mean offset &#x3d; 75&#xa0;m), <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref> in the supplementary information. This result is in line with a notable correlation between daily averages of Z<sub>0C</sub> from the Climate Forecast System Reanalysis (CFSR) and upper-air sounding at Santo Domingo (<xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>). We, hence, assumed that ERA5 also represents well the upper air conditions over the coastal zone of the Coquimbo Region.</p>
<p>Note that the spatial resolution of ERA5 is about 31&#xa0;km, which is too coarse to resolve the complex topography over the Andes (see <xref ref-type="fig" rid="F11">Figure 11A</xref>). If Z<sub>0C</sub> (given in height above ground) is below the model surface, the value of Z<sub>0C</sub> is constrained by the topography. This leads to unrealistic West&#x2013;East profiles of Z<sub>0C</sub>. We, therefore, decided to take the upwind value (50&#xa0;km west) of the photo location for a more robust comparison. For the comparison of Z<sub>0C</sub> during rainy hours (&#x2265;0.2&#xa0;mm&#xa0;h<sup>&#x2212;1</sup>) from ERA5 with Z<sub>SL</sub> from photos, we did the same as described in M2 and M3 and only considered hours when at least one nearby station (within 25&#xa0;km) indicates rainy conditions.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Exploring the Mesoscale Lowering of Z<sub>0C</sub>
</title>
<p>The mesoscale lowering of Z<sub>0C</sub> on upwind slopes of the Andes was investigated applying two explorative approaches described below with radiosonde and surface meteorological station data and with the ERA5 reanalysis.</p>
<sec id="s3-2-1">
<title>3.2.1 West&#x2013;East Cross Sections of Z<sub>0C</sub>
</title>
<p>To explore the mesoscale lowering of Z<sub>0C</sub>, we first assessed West&#x2013;East cross-sections of extrapolated Z<sub>0C</sub> from the coast to the slopes of the Andes along the Elqui River basin, together with profiles from ERA5. On the slopes of the Andes, we estimated Z<sub>0C</sub> using four mountain stations (stations 34, 41, 44, and 47) applying the method M1 with a representative moist adiabatic temperature lapse rate of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>. On the coast, we estimated Z<sub>0C</sub> using hourly data of the two surface stations (stations 15 and 17) and wet temperature lapse rates calculated with radiosonde data launched at the Santo Domingo station. For this site, we estimated LRs with linear regression from the surface to the first level with negative air temperatures, obtaining LRs for 250 cases (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref> in the supplementary information). The SYNOP messages from the radiosonde station were used to check if it was raining or not during the sounding launch (00 and 12 UTC).</p>
<p>To create the cross-sections, we only selected days with rainy radiosonde records (from 2&#xa0;days before or 1&#xa0;day after) and with at least five of the six mentioned stations along the Elqui catchments indicating wet conditions (&#x3e;2&#xa0;mm&#xa0;day<sup>&#x2212;1</sup>). For two precipitation events that last more than one calendar day (11&#x2013;12 May 2017 and 12&#x2013;13 July 2015), we manually selected the day with more significant precipitation intensities and where we, therefore, expect the lowering (12 May 2017 and 12 July 2015), which results in 11 study events. For the same dates, we plotted cross-sections of ERA5 data for the latitude of &#x2212;29.95&#xb0;S for the hour when the air temperature was lowest at the station Nr. 17.</p>
<p>Assuming lapse rates from a somewhat distant radiosonde release and using a unique value of the temperature lapse rate in the method M1 may lead to uncertainties, but this approach uses only observations and will give us a first look at this mesoscale atmospheric phenomenon. To account for uncertainties related to the assumption of constant lapse rates for the mountain area, we also assessed the cross-sections for a lapse rate of &#x2212;5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Z<sub>0C</sub> From ERA5 on the Coast vs. Z<sub>0C</sub> From Linear Regression of Station Data</title>
<p>Since we found that ERA5 adequately represents Z<sub>0C</sub> for rainy conditions at the coast in Santo Domingo (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>), we assumed that ERA5 also adequately represents upwind Z<sub>0C</sub> in the Coquimbo Region. We, therefore, assumed that the comparison between ERA5 and Z<sub>0C</sub> from M2 might indicate lowering. For this, we compared the daily minimum value of Z<sub>0C</sub> from ERA5 at the coast (upwind of the Andes) with Z<sub>0C</sub> from linear regression (method M2) on the upslope zone of the Andes range, which were first assessed with photographic evidence. This analysis was performed for Elqui and Limar&#xed;/Choapa separately, selecting ERA5 grid points &#x2212;30.2&#xb0;S, &#x2212;71.25&#xb0;W and &#x2212;31.2&#xb0;S, &#x2212;71.25&#xb0;W, respectively. We only considered hours where a representative reference station indicates rainy hours (reference station 44 for Elqui and station 39 for the Limar&#xed;/Choapa). To this comparison, we added daily mean precipitation to evaluate if precipitation intensity may influence the lowering of Z<sub>0C</sub> over the mountains.</p>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and Discussion</title>
<sec id="s4-1">
<title>4.1 Quantification of Z<sub>SL</sub> and Z<sub>0C</sub>
</title>
<p>For the entire Coquimbo Region, during the period 2011&#x2013;June 2021, we identified 97 precipitation events (152 precipitation days), with a maximum event duration of up to 8&#xa0;days (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref> in the supplementary information). The photos, therefore, cover approximately 30% of all events. During seven of these events, snow was observed in Pisco Elqui at &#x223c;1,200&#xa0;m asl., along with relatively high daily precipitation intensities of &#x223c;15&#xa0;mm and more. Fortunately, all snow events in Pisco Elqui since 2014 are documented by at least three photos. In addition, there were only three precipitation events observed by local observers from the citizen science programme &#x201c;Vecinos de las Nieves&#x201d; (<xref ref-type="bibr" rid="B4">CEAZA, 2021</xref>) between 2018 and 2021 that were not indicated by meteorological stations. Two of these events (10 October 2018 and 17 June 2019) were only observed at a high elevation location near meteorological station 55 (3,209&#xa0;m a.s.l., <xref ref-type="fig" rid="F2">Figure 2B</xref>). One event (28 May 2021) was only observed at elevations &#x3e;1,300&#xa0;m asl. and limited to 1&#x2013;2&#xa0;mm (and 8.8&#xa0;cm of snow at 3,150&#xa0;m asl.). This justifies the criterion to identify precipitation events based on three stations recording &#x2265;2&#xa0;mm.</p>
<p>Values for Z<sub>SL</sub> from the photos range between 820 and 2,500&#xa0;m asl. with few values up to 3,880&#xa0;m asl. (<xref ref-type="fig" rid="F4">Figure 4A</xref>). This altitudinal range and the distribution of Z<sub>SL</sub> from the selected photos are not entirely representative of the climatology of this region, as local residents mostly took photos on valley floors, which likely skews results toward cooler precipitation events with low Z<sub>SL</sub>. There might also be a negative sampling bias if fresh snow falls over an existing snowpack and a snow&#x2013;rain transition altitude that is higher than the existing snowline. But no such event was identified in the photos in our sample.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Histograms of the distribution of <bold>(A)</bold> mean Z<sub>SL</sub> from all photos, <bold>(B)</bold> maximum minus minimum Z<sub>SL</sub> per photo, and <bold>(C)</bold> range of maximum minus minimum mean Z<sub>SL</sub> per event with &#x2265;3 photos available.</p>
</caption>
<graphic xlink:href="feart-10-875795-g004.tif"/>
</fig>
<p>Most photos show a maximum range of &#x3c;50&#xa0;m between the highest and lowest estimation of Z<sub>SL</sub> (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Only for seven photos, this difference is &#x2265;100&#xa0;m. The estimation of Z<sub>SL</sub> with photographic evidence seems, therefore, quite robust. For events documented by at least three photos (<xref ref-type="fig" rid="F4">Figure 4C</xref>), most photographs show a variation of the highest and lowest Z<sub>SL</sub> estimation ranging between 0 and 500&#xa0;m. This difference could be a result of spatial differences in snowpack ablation and therefore indicate the spatial variability of Z<sub>SL</sub> some hours after an event. The event with the largest difference between photos (&#x3e;900&#xa0;m) is from the precipitation episode in August 2015. This value must be evaluated carefully because the photos are not from the same days and thus may represent Z<sub>SL</sub> under different rainy environments. There are five events with differences of 400&#x2013;700&#xa0;m. Visual analysis suggests that there are north&#x2013;south gradients in Z<sub>SL</sub> (being both positive and negative), and there might be slightly lower Z<sub>SL</sub> for valleys compared to foothills (&#x223c;200&#xa0;m). But there are not enough photographs to identify robust systematic variations for valleys&#x2013;foothills or north&#x2013;south.</p>
<p>We then compared Z<sub>SL</sub> values from the Sentinel-2 NSDI product in the Elqui river basin area to those from the photographic evidence. In <xref ref-type="fig" rid="F5">Figure 5</xref>, we found a high correlation between Z<sub>SL</sub> from satellite imagery and photographic evidence (<italic>R</italic>
<sup>2</sup> &#x3d; 0.79), and the differences are, in most cases, &#x3c;500&#xa0;m (19 from 23 data points). Where the satellite imagery is taken more than 3&#xa0;days after the photo, Z<sub>SL</sub> tends to lay significantly above Z<sub>SL</sub> from the photos after the event. This is what we expect in this subtropical region because after most precipitation events and especially on north-facing slopes, snow melts (or sublimates) quickly. Since we found a good agreement between satellite images and photos, we can conclude that photos are valuable evidence and can be used to relate Z<sub>0C</sub> estimates to the snowline.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison between Z<sub>SL</sub> from Sentinel-2 NSDI and photos.</p>
</caption>
<graphic xlink:href="feart-10-875795-g005.tif"/>
</fig>
<p>In <xref ref-type="fig" rid="F6">Figure 6</xref>, Z<sub>0C</sub> estimates from different methods are compared to the snowline Z<sub>SL</sub> from photos. For each panel, one point represents the results for one photo and its corresponding estimate. <xref ref-type="fig" rid="F6">Figures 6A&#x2013;D</xref> show a high correlation between Z<sub>0C</sub> estimates from the method M1 and Z<sub>SL</sub> from photos (<italic>R</italic>
<sup>2</sup> &#x2265; 0.86) if stations within 10&#xa0;km are considered. As expected, the correlation slightly decreases for a larger station distance, for example, 25&#xa0;km (<italic>R</italic>
<sup>2</sup> &#x2265; 0.77, not shown here). With steeper LRs, the standard deviation and mean offset decrease and the correlation increases (<xref ref-type="fig" rid="F6">Figures 6A&#x2013;D</xref>). The different lapse rates of &#x2212;6.5 to &#x2212;5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> yield mean offsets that correspond to threshold temperatures of 0.4&#x2013;1.3&#xb0;C (<italic>T</italic>
<sub>
<italic>SL</italic>
</sub> <italic>&#x3d; Z</italic>
<sub>
<italic>D</italic>
</sub>
<italic>&#x2027;LR</italic>), which is within the typical range used in the literature. Note that the mean offset in <xref ref-type="fig" rid="F6">Figure 6</xref> is only an indicator for the offset Z<sub>D</sub> between Z<sub>0C</sub> and Z<sub>SL</sub> during precipitation events (<xref ref-type="fig" rid="F1">Figure 1</xref>), since it can also be influenced by local conditions at the meteorological stations used for the extrapolation techniques or the conditions of the slope such as soil temperature or vegetation type. We can also observe that there are some cases where the snowline lies up to &#x223c;200&#xa0;m above Z<sub>0C</sub>&#x2014;in particular for a LR of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>. There are different reasons why this might occur: First, snow could have melted away quickly within a few hours at low elevations due to warm ground or meteorological conditions. Second, some stations might be in areas where the temperature dropped during the precipitation event, while the photo was taken at a site where this did not occur or not with the same magnitude (see <xref ref-type="sec" rid="s11">Section 4.2.1</xref>). There might be other explanations, but more <italic>in-situ</italic> observations would be needed to fully resolve this uncertainty.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Different Z<sub>0C</sub> estimates compared to Z<sub>SL</sub> from photographic evidence: <bold>(A&#x2013;D)</bold> Z<sub>0C</sub> from stations using a constant LR (method M1, only stations within 10&#xa0;km); Z<sub>0C</sub> from a linear regression <bold>(E)</bold> among all stations and <bold>(F)</bold> considering only stations below 2,400&#xa0;m asl. (method M2); <bold>(G)</bold> Z<sub>0C</sub> from linear interpolation between stations above/below Z<sub>0C</sub> (method M3); <bold>(H)</bold> Z<sub>0C</sub> from ERA5 reanalysis. Each data point represents one photo with its respective Z<sub>0C</sub> estimation. Note that some events are represented by up to 13 photos, and not all events are documented with photographic evidence.</p>
</caption>
<graphic xlink:href="feart-10-875795-g006.tif"/>
</fig>
<p>The method M2 yields a moderate correlation between Z<sub>0C</sub> and Z<sub>SL</sub> if stations at high elevations are included (<italic>R</italic>
<sup>2</sup> &#x3d; 0.67, <xref ref-type="fig" rid="F6">Figure 6E</xref>). If only stations below 2,400&#xa0;m asl. are considered (method M2-low), the correlation is higher (<italic>R</italic>
<sup>2</sup> &#x3d; 0.74, <xref ref-type="fig" rid="F6">Figure 6F</xref>). But more importantly, there are several cases where the snowline altitude lies more than 200&#xa0;m above Z<sub>0C</sub>, which might indicate a weakness in the method M2-low. The method M3 leads to a similar correlation as M2 (<xref ref-type="fig" rid="F6">Figure 6G</xref>), but there are also many cases where the snowline lies above Z<sub>0C</sub>, similar as for M2-low (<xref ref-type="fig" rid="F6">Figure 6F</xref>). In contrast, the correlation between ERA5 Z<sub>0C</sub> and Z<sub>SL</sub> is smaller (<italic>R</italic>
<sup>2</sup> &#x3d; 0.51, <xref ref-type="fig" rid="F6">Figure 6H</xref>), and there is a considerable offset of 486&#xa0;m, which indicates that ERA5 data overestimates Z<sub>0C</sub> over the mountains. This offset could occur due to the lowering effect of Z<sub>0C</sub> over mountains (<xref ref-type="sec" rid="s11">Section 4.3</xref>). The standard deviation of the different methods M2, M2-low, and M3 ranges between &#x223c;190&#x2013;230&#xa0;m, indicating a similar range of uncertainty of around 200&#xa0;m. ERA5 has the highest standard deviation of 265&#xa0;m.</p>
<p>We further found that the scores (<italic>R</italic>
<sup>2</sup>, mean offset and standard deviation) in <xref ref-type="fig" rid="F6">Figure 6</xref> are quite sensitive to individual photos, especially the ones with a relatively high Z<sub>SL</sub> compared to the estimated Z<sub>0C</sub>. Therefore, the numbers given in <xref ref-type="fig" rid="F6">Figure 6</xref> are only indicative and serve to compare and discuss the different methods but cannot precisely quantify precisely the mean offset and standard deviation.</p>
<p>With the different methods presented earlier, we then estimated the typical range of minimum Z<sub>0C</sub> during precipitation days. Precipitation days are defined separately for the two regions Elqui and Limar&#xed;/Choapa when at least three stations recorded &#x2265;2&#xa0;mm, resulting in 84 and 161&#xa0;days for 2011&#x2013;June 2021. From these days, we selected the days where all four methods delivered a result, resulting in 70 and 139&#xa0;days for Elqui and Limar&#xed;/Choapa, respectively. As expected, approximately 90% of all events occur during winter, and there are more precipitation days for the more southernly Limar&#xed;/Choapa region. We did not apply M1 here because it is difficult to compare the conditions at individual stations (due to different record periods and local conditions, see <xref ref-type="fig" rid="F9">Figure 9</xref>).</p>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> shows the typical range for the two regions and during winter and summer. Results from the approach M2 indicate an interquartile range of &#x223c;1830&#x2013;2,490&#xa0;m asl. (Elqui) and &#x223c;1830&#x2013;2,360&#xa0;m asl. (Limar&#xed;/Choapa) for daily minimum Z<sub>0C</sub> (<xref ref-type="fig" rid="F7">Figures 7A,B</xref>) for precipitation days during winter (May&#x2013;October). As expected, the median of M2 decreases slightly by &#x223c;130&#xa0;m for Limar&#xed;/Choapa (&#x223c;2,100&#xa0;m asl.) compared to Elqui (&#x223c;2,230&#xa0;m asl.), most probably due to the north&#x2013;south gradient (<xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>). In summer (<xref ref-type="fig" rid="F7">Figures 7C,D</xref>), the median increases by &#x223c;830 and 740&#xa0;m for the Elqui and Limar&#xed;/Choapa regions, respectively. These numbers are approximate as there are too few days available in summer for a robust analysis. The results from the M2-low method (considering only stations &#x3c;2,400&#xa0;m asl.) are considerably lower, as already observed in <xref ref-type="fig" rid="F6">Figures 6E,F</xref>. The difference between the median values is 310 and 630&#xa0;m during winter for Elqui and Limar&#xed;/Choapa, respectively. Especially for the region Limar&#xed;/Choapa, the values below 500&#xa0;m asl. seem unrealistic. A high sensitivity of Z<sub>0C</sub> estimations to high elevation stations was also described by <xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al. (2020)</xref> and will be discussed in more depth in <xref ref-type="sec" rid="s11">Section 4.2.3</xref>. The M3 method shows similar median values as M2. Reanalysis data from ERA5 indicate a slightly higher Z<sub>0C</sub> compared to M2 and M3, in the range of 100&#x2013;400&#xa0;m, depending on season and region. This result is in line with Climate Forecast System Reanalysis (CFSR) data that indicate mean rainy conditions Z<sub>0C</sub> of 2,500&#x2013;2,600 between 32&#x2013;30&#xb0;S (<xref ref-type="bibr" rid="B31">Mardones and Garreaud, 2020</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Boxplots of minimum daily Z<sub>0C</sub> during rainy days during May&#x2013;October in the study region <bold>(A)</bold> Elqui and <bold>(B)</bold> Limar&#xed;/Choapa and November&#x2013;April in <bold>(C)</bold> Elqui and <bold>(D)</bold> Limar&#xed;/Choapa, based on M2 (including all stations), M2-low (only considering stations &#x3c;2,400&#xa0;m asl.), M3, and ERA5 for 2011-June 2021. The number of days considered is given in the subplot titles.</p>
</caption>
<graphic xlink:href="feart-10-875795-g007.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Strengths and Limitations of the Different Methods</title>
<sec id="s4-2-1">
<title>4.2.1 Case Studies</title>
<p>For every photo, we plotted the temporal evolution of hourly precipitation and Z<sub>0C</sub> from M1 (from stations within 25&#xa0;km and the coastal station Nr. 17 and 6 for Elqui and Limar&#xed;/Choapa, respectively), M2, M2-low, M3, and ERA5 during the 48-h prior the photo capture. In <xref ref-type="fig" rid="F8">Figures 8A,B</xref>, we present two case studies (13 July 2015 and 14 October 2015, respectively) for events with snow observed in Pisco Elqui (&#x223c;1,200&#xa0;m asl.) and with some types of precipitation triggered hazards in Vicu&#xf1;a and surroundings (<xref ref-type="bibr" rid="B39">Palma, 2019</xref>). The selection represents similar findings as for the other events that are not shown here.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Two examples of meteorological conditions during events with photographic evidence. Bars: hourly precipitation from different meteorological stations within 25&#xa0;km; lines: Z<sub>0C</sub> estimates using different methods and ERA5; horizontal line: Z<sub>SL</sub> from photo. For method M1, a LR of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> was applied. During both events, mass movements were observed in Vicu&#xf1;a and its surroundings, and snow was observed in Pisco Elqui (&#x223c;1,200&#xa0;m asl.).</p>
</caption>
<graphic xlink:href="feart-10-875795-g008.tif"/>
</fig>
<p>The meteorological synoptic conditions associated with the two case studies are illustrated in <xref ref-type="sec" rid="s11">Supplementary Figure S5</xref> in the supplementary information. Both events were produced by cold fronts and their associated closed-low or trough pressure systems and moisture plumes with strong water vapor transported from the Pacific Ocean. The first event (12&#x2013;13 July 2015) had stronger synoptic forcings, with lower pressure depression and stronger moisture transports, and produced higher precipitation accumulation than those of the second event 2 (14 October 2015). Although both events had different precipitation and synoptic forcing intensities, both represent typical synoptic conditions with frontal systems and Pacific-originated moisture plumes reaching the subtropical coastal latitudes of the Coquimbo Region (&#x223c;30&#xb0;S).</p>
<p>In <xref ref-type="fig" rid="F8">Figure 8</xref>, we can observe a temperature decline during the two events for almost all meteorological stations located in valleys (especially 39 and 44), leading to temporal drops in Z<sub>0C</sub> from M1. The drop generally appears around the hours with the highest hourly precipitation intensities and seems less pronounced for events with low hourly intensities. In all events with snow in Vicu&#xf1;a, this drop appears, and this temporal drop is less clear or not visible in Z<sub>0C</sub> from M1 applied to the coastal stations. It probably occurs due to mesoscale air cooling on the upslope sector of the Andes caused mainly by diabatic cooling from the melting of orographically enhanced precipitation rates and adiabatic cooling for the upslope ascending of the air (<xref ref-type="bibr" rid="B38">Minder et al., 2011</xref>). But more studies are needed to identify and quantify the processes that lead to this drop in air temperature.</p>
<p>Z<sub>0C</sub> from linear regression and low altitude stations (&#x3c;2,400&#xa0;m asl., M2-low) shows similar minimum values as Z<sub>0C</sub> from M1 applied to valley stations. Z<sub>0C</sub> from linear regression, including high altitude stations, is generally higher, and the drop of Z<sub>0C</sub> is, in most cases, less pronounced. The drop is also visible in the timeline of Z<sub>0C</sub> from M3. In contrast, ERA5 reanalysis data indicate higher Z<sub>0C</sub> values compared to M1 and M2 and the temporal drop of Z<sub>0C</sub> is not clearly indicated.</p>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Extrapolation of Air Temperature From Single Stations (M1)</title>
<p>Even if the M1 method seems suitable in most cases for nearby stations (<xref ref-type="fig" rid="F6">Figures 6A-D</xref>), uncertainties are expected to increase for meteorological stations at larger distances or for certain stations due to non-elevational factors. But there is a lack of understanding about the representativeness of stations depending on their characteristics, such as elevation or surrounding topography. Also, the magnitude of the uncertainty in the function of these characteristics is not well known. Therefore, we applied a lapse rate of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> and the estimated offset Z<sub>D</sub> from <xref ref-type="fig" rid="F6">Figure 6D</xref> to stations up to 50&#xa0;km away from the photo using <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>. <xref ref-type="fig" rid="F9">Figure 9</xref> shows the difference between Z<sub>SL</sub> from M1 and from photos, in the function of 1) distance between meteorological stations and photos and 2) station elevation.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Difference between Z<sub>SL</sub> from M1 and photos, using a constant LR of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> and an offset between Z<sub>0C</sub> and Z<sub>SL</sub> of 58&#xa0;m (from <xref ref-type="fig" rid="F6">Figure 6D</xref>) in the function of <bold>(A)</bold> station distance and <bold>(B)</bold> station elevation. This analysis considers all stations within 50&#xa0;km of each photo. Each data point represents a value for one station compared to a photo, each photo having up to 9 stations within 50&#xa0;km.</p>
</caption>
<graphic xlink:href="feart-10-875795-g009.tif"/>
</fig>
<p>In <xref ref-type="fig" rid="F9">Figure 9A</xref>, we can observe that the Z<sub>SL</sub> from M1 corresponds well to Z<sub>SL</sub> from photos for close stations &#x3c;10&#xa0;km. The difference between the estimated and observed Z<sub>SL,</sub> however, significantly increases with a larger distance between the meteorological station to the photo. For stations &#x3e;10&#xa0;km away from the photographic evidence, the estimated Z<sub>SL</sub> lies in many cases more than 200&#xa0;m above or below the observed Z<sub>SL</sub>, which is considerable for hydrological applications.</p>
<p>Uncertainty also depends on station elevation (<xref ref-type="fig" rid="F9">Figure 9B</xref>). As already observed in the study cases (<xref ref-type="fig" rid="F8">Figure 8</xref>), low coastal stations with elevations up to &#x223c;500&#x2013;700&#xa0;m asl. tend to overestimate Z<sub>SL</sub>. The most representative stations seem to be located at &#x223c;700&#x2013;1,500&#xa0;m asl. with most of the errors within &#xb1;200&#xa0;m (see the interquartile range and relatively small median error in <xref ref-type="fig" rid="F9">Figure 9B</xref>). These stations are located below the typical snow&#x2013;rain transition zone. Comparatively, the spread of the uncertainty probably increases for higher stations (see whiskers for standard deviation), especially for stations &#x3e;1,000&#xa0;m asl. The study cases in <xref ref-type="fig" rid="F8">Figure 8</xref> (and more study cases not shown here) indicate that there is a strong temporal drop in Z<sub>0C</sub> for these stations. The relatively low temperatures in specific valleys and events might thus be accurate to estimate Z<sub>SL</sub> in the same valleys, but not for other sites. The relatively high-altitude stations 47 (1,696&#xa0;m asl.) and 49 (2,500&#xa0;m asl.) tend to overestimate Z<sub>SL</sub>. The highest station TASC (3,427&#xa0;m asl.)&#x2014;located clearly above the snow&#x2013;rain transition zone in most cases and at large distances&#x2014;probably lies too high or far for representative Z<sub>0C</sub> estimations.</p>
<p>We found that applying other lapse rates (&#x2212;5, &#x2212;5.5, and &#x2212;6&#xb0;C km<sup>&#x2212;1</sup>) and corresponding offsets from <xref ref-type="fig" rid="F6">Figures 6A&#x2013;C</xref> does not change the overall pattern of the results in <xref ref-type="fig" rid="F9">Figure 9</xref> (not shown here). Our findings confirm that uniform lapse rates applied to representative and nearby (&#x3c;10&#xa0;km) stations might be suitable to estimate the local snowline altitude for rainy conditions if the station is located below the snow&#x2013;rain transition. In Chile, wet-weather SLTR values from &#x2212;5.8 to &#x2212;6.2&#xb0;C&#xa0;km<sup>&#x2212;1</sup> were found for the western subtropical Andes (<xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al., 2020</xref>) and &#x223c;&#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> for the coastal mountains (<xref ref-type="bibr" rid="B19">Gonz&#xe1;lez and Garreaud, 2019</xref>). Even if the assumption of a uniform and constant surface lapse rate of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> is a poor one for annual mean lapse rates (<xref ref-type="bibr" rid="B14">Gardner and Sharp, 2009</xref>; <xref ref-type="bibr" rid="B37">Minder et al., 2010</xref>), we can confirm the recommendation by <xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al. (2020)</xref> of using a value between &#x2212;5.5 and &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> to estimate minimum Z<sub>0C</sub> during rainy conditions.</p>
</sec>
<sec id="s4-2-3">
<title>4.2.3 Linear Regression Method (M2)</title>
<p>In <xref ref-type="fig" rid="F6">Figures 6E and F</xref>, we observed that a linear regression method using surface stations at different elevations seems accurate, but the result strongly depends on the inclusion of high-elevation stations. If only stations in valley bottoms and at low altitudes (&#x3c;2,400&#xa0;m asl.) are considered, the extrapolated Z<sub>0C</sub> lies much lower, and in many cases, the snowline lies above Z<sub>0C</sub>. This might indicate that the method is not very precise in these cases. To understand the elevational distribution of air temperature during precipitation events, we examined the daily minimum air temperature during the six snow events in the period 2014&#x2013;2021 in Pisco Elqui (<xref ref-type="fig" rid="F10">Figures 10A-F</xref>). The minimum temperature is recorded at almost the same hour for all stations during these days. LR and Z<sub>0C</sub> are then calculated through the M2 method with linear regression for stations above and below 1,500&#xa0;m asl. For all six events, Z<sub>0C</sub> estimated with high elevation stations lies clearly above Z<sub>0C</sub> from low elevation stations and LRs of the higher zone are less steep compared to the lower elevations. Hence, there seems to be a break in LR around the snow&#x2013;rain transition, together with an offset of up to 430&#xa0;m. Our findings confirm that stations from a wide range of elevations (especially high elevations) are crucial, such as suggested by <xref ref-type="bibr" rid="B30">Lute and Abatzoglou (2020)</xref> or <xref ref-type="bibr" rid="B22">Iba&#xf1;ez et al. (2020)</xref>.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Elevation vs. minimum daily air temperature for mountain stations above 500&#xa0;m asl. in the Elqui region during the six snow events at 1,200&#xa0;m asl. (in Pisco Elqui). Red/blue lines show linear regressions between stations below/above 1,500&#xa0;m asl.</p>
</caption>
<graphic xlink:href="feart-10-875795-g010.tif"/>
</fig>
<p>The difference between the two Z<sub>0C</sub> values could be interpreted as a zone of an air temperature of near 0&#xb0;C, called the isothermal layer (<xref ref-type="bibr" rid="B12">Findeisen, 1940</xref>; <xref ref-type="bibr" rid="B52">Unterstrasser and Z&#xe4;ngl, 2006</xref>), which occurs if air mass in the valley becomes decoupled from the environmental flow. In this case, the latent heat required for melting the falling snow is continuously removed from the valley, thereby lowering the snow&#x2013;rain transition and increasing Z<sub>D</sub>. The formation of an isothermal layer of similar magnitude has been observed and simulated for other mountainous regions (<xref ref-type="bibr" rid="B50">Th&#xe9;riault et al., 2012</xref>). This process could explain a drop in air temperature of stations in steep valleys such as observed in the study cases (<xref ref-type="fig" rid="F8">Figure 8</xref>), for example, Pisco Elqui (station 44). An isothermal layer might also explain why M2 leads to higher Z<sub>0C</sub> values if high elevation stations above the isothermal layer are included. More research is needed to study the formation of isothermal layers during storm events in this region. It is also important to note that near-surface air temperature might also be altered by other local conditions. Further research could focus on the sensitivity of estimated lapse rates to single stations.</p>
</sec>
<sec id="s4-2-4">
<title>4.2.4 Linear Interpolation Between Two Stations (M3)</title>
<p>The interpolation technique using two stations (one below and one above Z<sub>0C</sub>) is accurate but relies on high elevation stations above the typical range of the snow&#x2013;rain transition. In some cases, there is an air temperature inversion with positive air temperatures at higher elevations than negative air temperatures below. In these cases, the linear interpolation between air temperature recorded at two stations are not accurate. Similar as in M2-low, the comparison with the snowline from photos has shown many cases where the snowline lies above Z<sub>0C</sub>. This indicates that a local cooling of the atmosphere could lead to temperature drops at certain stations, which then lead to lower Z<sub>0C</sub> estimations that are not representative of the conditions of nearby valleys. But we need further studies to better understand these cases. We suggest that this method should only be applied if reliable stations are available and if local effects of temperature variability are well understood.</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Mesoscale Behavior of Z<sub>0C</sub>
</title>
<p>Since we do not have vertically pointing radars in the valleys and at the coast, it is not easy to identify the magnitude of the mesoscale lowering. We, therefore, use two simple approaches based on the methods presented above as the first attempt to assess the possible existence of the mesoscale lowering of Z<sub>0C</sub>.</p>
<sec id="s4-3-1">
<title>4.3.1 West&#x2013;East Cross Sections</title>
<p>The cross-barrier plot in <xref ref-type="fig" rid="F11">Figure 11A</xref> shows that the 11 events present a lowering of extrapolated Z<sub>0C</sub> toward the Cordillera, with values up to 766&#xa0;m. Assuming that a constant lapse rate of &#x2212;6.5&#xa0;C&#xa0;km<sup>&#x2212;1</sup> is associated with important uncertainties in the estimation of the lowering, there might also be cases where conditions at low elevations are dry and saturated aloft, leading to different LRs. To account for these uncertainties, we did the same cross-sections assuming a lapse rate of &#x2212;5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> for the mountain stations (34, 41, 44, and 47), which leads to a less pronounced lowering of up to 487&#xa0;m (not shown here). Still, 7 of 11 study cases present a decrease of Z<sub>0C</sub> over the mountain area compared to the coast. In contrast, cross-sections of ERA5 data do not show the lowering of Z<sub>0C</sub>. <xref ref-type="fig" rid="F11">Figure 11A</xref> also shows the topography of ERA5, which seems coarse for this complex topography lying some hundreds of meters above the location of the meteorological stations.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(A)</bold> Cross-sections of Z<sub>0C</sub> from ERA5 and estimated based on coast stations (15 and 17) and lapse rates from radiosonde profiles and stations in the Cordillera (34, 41, 44, and 47) based on a lapse rate of &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>. The grey area shows the ERA5 topography. <bold>(B)</bold> Difference (size of the circle) between Z<sub>0C</sub> from the mountainside (34 and 41) and coast stations (15 and 17) in function of daily precipitation and minimum air temperature (34 and 41) for the same dates as in <bold>(A)</bold>. Snowflake symbols indicate days with snow observed in Pisco Elqui (near station 44).</p>
</caption>
<graphic xlink:href="feart-10-875795-g011.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F11">Figure 11B</xref> suggests that the differences in the mountainside and upwind Z<sub>0C</sub> may accentuate with higher precipitation intensities, but more data are needed to further investigate this relationship. A dependency on precipitation intensity would be in line with observations (<xref ref-type="bibr" rid="B32">Marwitz 1983</xref>) and analytical models (<xref ref-type="bibr" rid="B52">Unterstrasser and Z&#xe4;ngl, 2006</xref>) that have been used to understand how higher precipitation intensities lead to more latent cooling from melting precipitation and deeper isothermal 0&#xb0;C layers.</p>
<p>An alternative interpretation of this result is that above the location of valley stations, an isothermal layer forms with temperatures slightly above 0&#xb0;C and with very low air temperature gradients within that layer (<xref ref-type="fig" rid="F1">Figure 1</xref>, <xref ref-type="bibr" rid="B12">Findeisen, 1940</xref>; <xref ref-type="bibr" rid="B52">Unterstasser and Zaengl, 2006</xref>), which is supported by the findings in <xref ref-type="fig" rid="F10">Figure 10</xref>. At stations 44 and 47, temperatures slightly above 0&#xb0;C are recorded for most precipitation events, despite the station elevation difference of 456&#xa0;m. When we apply constant lapse rates of, for example, &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> to these low air temperatures, the extrapolated Z<sub>0C</sub> lies a few 100&#xa0;m above ground at both locations. However, if there is an isothermal layer with air temperatures slightly above 0&#xb0;C and Z<sub>0C</sub> at its top, a constant LR of, for example, &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup> is only valid up to the bottom of the isothermal layer, and the top of the isothermal layer lies at a much higher altitude. This would then result in a much less significant lowering of Z<sub>0C</sub> over the mountains. If this is true, we underestimate Z<sub>0C</sub> significantly using ground stations located below an isothermal layer and standard LR, even if Z<sub>SL</sub> estimations seem accurate (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<p>Based on this analysis, we cannot conclude whether this drop in extrapolated Z<sub>0C</sub> is due to a mesoscale lowering of Z<sub>0C</sub> or an isothermal layer, or both. In any case, it indicates that during precipitation events, there are either mesoscale lowering in Z<sub>0C</sub> or locally changed lapse rates due to isothermal layers that need to be considered to estimate the snow&#x2013;rain transition altitude, especially if we base the estimation on radiosonde stations from the coast or reanalysis data. Due to these effects, the local snow&#x2013;rain transition seems to be much lower than estimated based on the conditions at the coast, although an offset could be added to account for the lowering or the isothermal layer.</p>
</sec>
<sec id="s4-3-2">
<title>4.3.2 ERA5 vs. Linear Regression of Station Data</title>
<p>In <xref ref-type="sec" rid="s11">Section 4.3.1</xref>, we were unable to quantify the mesoscale drop in Z<sub>0C</sub>, as constant LRs (M1) might underestimate Z<sub>0C</sub> if an isothermal layer forms. In contrast, Z<sub>0C</sub> estimates using linear regression (M2) with <italic>in situ</italic> stations might lead to more robust Z<sub>0C</sub> estimates. Since we found that ERA5 Z<sub>0C</sub> is well correlated with radiosonde records, we assume that these data may also be representative along the coast of the Coquimbo Region. A large difference between ERA5 and mountainside Z<sub>0C</sub> might therefore indicate a mesoscale lowering of Z<sub>0C</sub> over the Cordillera.</p>
<p>
<xref ref-type="fig" rid="F12">Figure 12</xref> shows that the two values (Z<sub>0C</sub> from M2 representing the mountainside and ERA5 data representing the coast) are well correlated (<italic>R</italic>
<sup>2</sup> &#x3d; 0.69 and 0.66 for Elqui and Limar&#xed;/Choapa), but there is an offset in the range of 150&#x2013;160&#xa0;m, which may indicate a mesoscale lowering. For the snow events in Pisco Elqui (see snowflake symbols in <xref ref-type="fig" rid="F12">Figure 12A</xref>), the offset even increases to 297&#xa0;m. The results are in line with observations from the Sierra Nevada, where an average drop of the snow&#x2013;rain transition of 170&#xa0;m was identified using 3&#xa0;years of profiling radar observations over the windward slopes (<xref ref-type="bibr" rid="B36">Minder and Kingsmill, 2013</xref>). For example, <xref ref-type="bibr" rid="B51">Th&#xe9;riault et al. (2015)</xref> have shown using WRF model simulations that Z<sub>0C</sub> decreased by 400&#xa0;m within 60&#xa0;min until reaching the ground in the Pacific Coast Ranges. The difference between the two regions might be due to the different properties of the incoming flow or topography, which all have effects on the mesoscale lowering (<xref ref-type="bibr" rid="B38">Minder et al., 2011</xref>). Since the lowering is the result of a complex interplay between humidity, wind speed, stratification, air temperature, and topography, more research is needed to understand regional differences along the Chilean Andes.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Scatterplots of ERA5 Z<sub>0C</sub> vs. Z<sub>0C</sub> during precipitation events from M2 for the regions <bold>(A)</bold> Elqui and <bold>(B)</bold> Limar&#xed;/Choapa. Snowflake symbols indicate days with snow observed in Pisco Elqui (&#x223c;1,200&#xa0;m asl.). Note that the values are daily minimum Z<sub>0C</sub> during rainy hours recorded at the two reference stations, 44 and 39 for Elqui and Limar&#xed;/Choapa, respectively. Daily precipitation is also taken from these reference stations.</p>
</caption>
<graphic xlink:href="feart-10-875795-g012.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and Recommendations</title>
<p>The snow&#x2013;rain transition altitude is a key factor for hydrometeorological and glaciological processes in mountainous regions. Therefore, a proper estimation of the snow&#x2013;rain transition is crucial for road security, agriculture, and flood alerts. In this work, we used photographs taken by participants of a citizen science programme as ground truth for the altitude of the snowline. We found that photographs of the mountain snowline after precipitation events are in good agreement with Sentinel-2 NSDI imagery and have great potential to validate empirical Z<sub>SL</sub> estimations. We first evaluated different traditional methods to estimate Z<sub>0C</sub> and Z<sub>SL</sub> based on surface station data along the upslopes of the Andes and ERA5 reanalysis data. The different methods were then used to evaluate the typical range of Z<sub>0C</sub> during precipitation events, and corresponding strengths and limitations were discussed and related to local meteorological processes such as isothermal layers. Then, the possible existence of mesoscale lowering of Z<sub>0C</sub> over the mountains with respect to that in the free atmosphere upstream of the Andes was assessed.</p>
<p>We can confirm that the here presented methods (M1, M2, and M3) are quite accurate, computationally efficient, and can be used for applications such as weather forecasting and flood alerts. Despite some limitations, the different methods (especially M2, including high elevation stations and M3) enable the estimation of the typical range of Z<sub>0C</sub> during precipitation events. The results from method M2 indicate an interquartile range of Z<sub>0C</sub> of &#x223c;1830&#x2013;2,490&#xa0;m asl. (Elqui) and &#x223c;1830&#x2013;2,360&#xa0;m asl. (Limar&#xed;/Choapa) for precipitation days during winter (May&#x2013;October). Z<sub>SL</sub> is expected at an average of &#x223c;280&#xa0;m below Z<sub>0C</sub>, but this offset is only approximate and cannot be directly transferred to other methodologies since it depends on the data availability and a diversity of other local factors (such as the formation of isothermal layers, local temperature drops, and soil temperature). The different methods to estimate Z<sub>0C</sub> during precipitation events can be summarized as follows:<list list-type="simple">
<list-item>
<p>&#x2022; If there are nearby meteorological stations, the traditional approach (M1) assuming constant LRs (&#x2212;5 to &#x2212;6.5&#xb0;C&#xa0;km<sup>&#x2212;1</sup>) and corresponding threshold temperatures is quite accurate to estimate Z<sub>SL</sub> during precipitation events over a certain catchment. We found that minimum air temperature during precipitation hours is a good predictor for Z<sub>SL</sub> (except during events with increasing snow&#x2013;rain transition during the last precipitation hours). Our results indicate that different LRs lead to similarly high correlations, but the threshold temperature or offset Z<sub>D</sub> needs to be adapted accordingly to estimate Z<sub>SL</sub>. The station location should be evaluated carefully since low altitude stations (&#x3c;700&#xa0;m asl.) with maritime influence and high-elevation stations above the snow&#x2013;rain transition tend to overestimate Z<sub>SL</sub>. Ideally, the station lies a few hundred meters below the snow&#x2013;rain transition and close to the point of interest. For larger distances &#x3e;10&#xa0;km between the meteorological station and the photographic evidence, the errors increase in many cases up to &#xb1;200&#xa0;m. We also suggest that this method might be robust for Z<sub>SL</sub> but probably underestimates Z<sub>0C</sub> if isothermal layers with near 0&#xb0;C form.</p>
</list-item>
<list-item>
<p>&#x2022; The results indicate that&#x2014;in general&#x2014;the linear regression method (M2) is accurate for estimating Z<sub>SL</sub>. However, the result strongly depends on the availability of high elevation stations above the snow&#x2013;rain transition altitude, achieving significantly higher estimates if high-elevation stations are considered. Without this information, the estimated Z<sub>0C</sub> and Z<sub>SL</sub> are probably lowered by local valley effects (such as isothermal layers) and need careful interpretation. We suggest that the method M2 is more accurate for estimating Z<sub>0C</sub>, while M2-low is more related to Z<sub>SL</sub>.</p>
</list-item>
<list-item>
<p>&#x2022; An interpolation technique (M3) using two stations (one below and one above Z<sub>0C</sub>) is accurate, similar to M2. But the method strongly relies on high elevation stations above the typical range of the snow&#x2013;rain transition.</p>
</list-item>
<list-item>
<p>&#x2022; Z<sub>0C</sub> from ERA5 reanalysis data lies almost 500&#xa0;m above the mountainside Z<sub>SL</sub> from photographic evidence, probably because the coarse model topography does not allow the formation of local or mesoscale effects over mountainous areas such as isothermal layers near 0&#xb0;C or lowering.</p>
</list-item>
</list>
</p>
<p>Our results suggest that the mesoscale lowering of Z<sub>0C</sub> from the coast to the mountain during a frontal storm is, on average, &#x223c;150&#xa0;m, which is similar to that observed in other mountainous regions (<xref ref-type="bibr" rid="B36">Minder and Kingsmill, 2013</xref>). For days with intense precipitation, the data indicate a lowering of up to 700&#xa0;m (in line with <xref ref-type="bibr" rid="B36">Minder and Kingsmill, 2013</xref>). However, it must be noted that there is considerable uncertainty in our estimates of the lowering of Z<sub>0C</sub> due to unknown vertical air temperature lapse rates, which makes it difficult to properly compare our results with other studies. <italic>In situ</italic> meteorological data also point to the formation of a wide isothermal layer with near-freezing temperatures and shallow lapse rates. However, air temperature at the meteorological stations might also be influenced by other local effects and needs careful interpretation.</p>
<p>Both the effects, isothermal layers and lowering, can cause snowfall in valley bottoms, even if the upwind Z<sub>0C</sub> lies up to 500&#xa0;m higher than the local snowline. This has implications for different methods to estimate Z<sub>0C</sub> and Z<sub>SL</sub>, but more data is needed to isolate and quantify these effects. Since the observed lowering is large enough to have implications for runoff, future research should focus on high-resolution numerical modeling, such as the Weather Research and Forecasting (WRF) modeling, to study the vertical structure of precipitation events and to quantify the mesoscale lowering and its dependence on, for example, topography, precipitation intensity, wind speed, humidity, and stability of the atmosphere and/or air temperature. Experimental radiosonde observations during selected storms and real-time Doppler radar observations at selected sites (upwind and in valleys) would be useful to shed light on the questions discussed here (<xref ref-type="bibr" rid="B33">Massmann et al., 2017</xref>).</p>
<p>As there is a need for more detailed studies about the future upward shift of the snow&#x2013;rain transition altitude (<xref ref-type="bibr" rid="B7">Espinoza et al., 2020</xref>), we recommend installing stations around the typical range of snow&#x2013;rain transition to study and monitor the air temperature evolution during precipitation events at different elevations. In the case of the Coquimbo Region, additional meteorological stations would be useful between 1,000 and 2,500&#xa0;m asl. Photos after precipitation events are valid <italic>in situ</italic> information of the snowline altitude and should therefore be included in citizen science projects in mountainous areas. Since the manual evaluation is very time-intensive, we recommend considering automated mapping techniques.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>SS: Conceptualization, data curation, formal analysis, funding acquisition, investigation, methodology, project administration, visualization, and writing. GP: Data curation, methodology, and writing&#x2014;review. SM: Funding acquisition, supervision, and writing&#x2014;review. &#xc1;A: Formal analysis, writing&#x2014;original draft preparation, writing&#x2014;review, and conceptualization. MV: Conceptualization, methodology, writing&#x2014;review and editing, investigation, and visualization.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>SS was funded by the Swiss National Science Foundation Grant nr. P2ZHP2_187765. SM was funded by ANID-CENTROS REGIONALES R20F0008.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The 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="disclaimer" id="s10">
<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>
<ack>
<p>Sentinel imagery was downloaded from the EO Browser (<ext-link ext-link-type="uri" xlink:href="https://apps.sentinel-hub.com/eo-browser">https://apps.sentinel-hub.com/eo-browser</ext-link>). CEAZA station data are available at <ext-link ext-link-type="uri" xlink:href="http://www.ceazamet.cl">http://www.ceazamet.cl</ext-link>. ERA5 data are accessible through <ext-link ext-link-type="uri" xlink:href="https://cds.climate.copernicus.eu">https://cds.climate.copernicus.eu</ext-link>. Upper air sounding data can be downloaded at <ext-link ext-link-type="uri" xlink:href="https://www.ncei.noaa.gov/products/weather-balloon/integrated-global-radiosonde-archive">https://www.ncei.noaa.gov/products/weather-balloon/integrated-global-radiosonde-archive</ext-link>. &#xc1;A acknowledges FONDECYT-Postoc 3190732. We also acknowledge the project REDES of IANIGLA-CEAZA (ANID REDES-180099). Most of this work was performed with open and free languages and software (QGIS, Python). The authors thank all participants from the programme &#x201c;Vecinos de las Nieves&#x201d;: V. Aliste, P. Nu&#xf1;ez, J. Alcayaga, C. Araya, C. Canihuante, D. Canihuante, L. Canihuante, M. Carmona, C. Cort&#xe9;s, M. D&#xed;az, M. G&#xf3;mez, A. Mu&#xf1;iz, G. Oporto, C. Peralta, A. Pizarro, C. Rojas, J. C. Silva y, and J. Torres. They thank Marcela Zavala, Patricio Jofr&#xe9;, and Janina Guerrero for assisting the social media campaign. They thank all the people that also sent them photos from the snowline: R. Araya, F. Arce, C. Astudillo, J. Carvajal, J. C&#xf3;rdova, J. Larrain, C. Manzano, K. Mel&#xe9;ndez, S. Munizaga, M. Palleros, M. Pi&#xf1;ones, D. Pizarro, M. Qui&#xf1;ones, K. Rojas, A. Sandoval, C. Sirvent, B. Tapia, M. Tapia, E. Toro, R. Villalobos y, and J. V. R&#xed;o Elqui. They also thank the authors of the photos that they found on social networks: Portales de INIA Intihuasi, Multimedia Ovalle TV, Elqui Semanario, El Vicu&#xf1;ense, El Paihuanino, El Comunal, El Hurtadino, El Andacollino, Aguslepe en Flickr, F. Barraza, M. Collao, A. Cort&#xe9;s, P. D&#xed;az, M. Gonz&#xe1;lez, M. Huerta, P. Jofr&#xe9;, M. L&#xf3;pez, R. Orrego, L. Ponce, J. C. Robles, R. Rojas, S. Smith, E. Toro, J. Y&#xe1;&#xf1;ez y, and V. Vel&#xe1;squez. The authors would also like to thank the two reviewers for their critical and constructive comments that have enabled significant improvements to the paper.</p>
</ack>
<sec id="s11">
<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.2022.875795/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.875795/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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