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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1091985</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1091985</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Spatiotemporal variation characteristics of hourly soil temperature in different layers in the low-latitude plateau of China</article-title>
<alt-title alt-title-type="left-running-head">Cheng et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1091985">10.3389/fenvs.2022.1091985</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cheng</surname>
<given-names>Qingping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1901054/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Mingda</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jin</surname>
<given-names>Hanyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Yitong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Geography and Ecotourism</institution>, <institution>Southwest Forestry University</institution>, <addr-line>Kunming</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Southwest Research Centre for Eco-civilization</institution>, <institution>National Forestry and Grassland Administration</institution>, <addr-line>Kunming</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>National (Yunnan Province) Field Science Observation and Research Station Yulong Snow Mountain Cryosphere and Sustainable Development</institution>, <institution>Northwest Institute of Eco-Environment and Resources</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Yunnan Climate Center</institution>, <addr-line>Kunming</addr-line>, <country>China</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/1331724/overview">Jing Luo</ext-link>, Northwest Institute of Eco-Environment and Resources (CAS), China</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/2089386/overview">Kang Wang</ext-link>, East China Normal University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1244774/overview">Xiangjin Shen</ext-link>, Northeast Institute of Geography and Agroecology (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qingping Cheng, <email>qpchengtyli@foxmail.com</email>; Mingda Zhang, <email>rockerdada@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmosphere and Climate, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1091985</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Cheng, Zhang, Jin and Ren.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Cheng, Zhang, Jin and Ren</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>Soil temperature change has considerable impact on land surface energy and water balances, and hence on changes in weather/climate, surface/subsurface hydrology, and ecosystems. However, little is known regarding the spatiotemporal variations and influencing factors of changes in hourly soil temperature (depth: 5&#x2013;320&#xa0;cm) in low-latitude highland areas. This study analyzed the hourly soil temperature at each hour during 2004&#x2013;2020 and at 08:00, 14:00, and 20:00 (Beijing Time) during 1961&#x2013;2020. The results revealed the following. 1) As soil depth increased, average soil temperature increased in autumn and winter, and decreased annually and in spring and summer. It exhibited significant increase during 00:00&#x2013;23:00 annually, seasonally, and monthly, especially at depths of 40&#x2013;320&#xa0;cm during 2004&#x2013;2020. Average soil temperature increased at 08:00 and decreased at 14:00 and 20:00 with increasing soil depth, but the opposite trend was found annually, seasonally, and monthly at 08:00, 14:00, and 20:00 during 1961&#x2013;2020. 2) With increasing elevation, average soil temperature decreased at 08:00, 14:00, and 20:00 at depths of 5&#x2013;20&#xa0;cm, and showed significant increase trend at 08:00 and 14:00 at depths of 10&#x2013;20&#xa0;cm (except at 14:00 at 10-cm depth). 3) At 5-cm depth, the critical accumulated soil temperature of &#x2265;12&#xb0;C and 14&#xb0;C extended the potential growing season during 1961&#x2013;2020. 5) Significant uptrend of hourly soil temperature annually, seasonally, and monthly potentially leads to additional release of carbon to the atmosphere and increased soil respiration, reinforcing climate warming. These findings contribute to better understanding of the variation of shallow soil temperatures and land&#x2013;atmosphere interactions in low-latitude highland areas.</p>
</abstract>
<kwd-group>
<kwd>soil temperature</kwd>
<kwd>different soil layers</kwd>
<kwd>spatiotemporal variation</kwd>
<kwd>low-latitude highlands</kwd>
<kwd>yunnan</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Soil temperature plays an important role in the physical, biological, and microbiological processes that occur in soil, but it is rarely reported as an indicator of climate change because such data generally have limited spatiotemporal coverage (<xref ref-type="bibr" rid="B34">Qian et al., 2011</xref>; <xref ref-type="bibr" rid="B2">Bai et al., 2014</xref>; <xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2020</xref>). The structure, function, productivity, and stability of an ecosystem largely depend on the soil temperature regime because soil temperature affects the germination of seedling emergence, early developmental and growth processes, tree species distribution and forest composition, and crop yield by changing the carbon and nutrient cycles, fertility, and productivity of the soil (<xref ref-type="bibr" rid="B24">Linderholm., 2006</xref>; <xref ref-type="bibr" rid="B7">Curiel et al., 2007</xref>; <xref ref-type="bibr" rid="B21">Kurylyk et al., 2014</xref>; <xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>; <xref ref-type="bibr" rid="B17">Hu et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Oogathoo et al., 2022</xref>). Meanwhile, as important thermal and hydrological factors of the ground at any given location, soil temperature and soil moisture respond quickly to the effects of climate change and interact with the overlying atmosphere through the surface energy, water balance, and carbon cycles, substantially promoting feedback to regional climate (<xref ref-type="bibr" rid="B1">Albergel et al., 2015</xref>; <xref ref-type="bibr" rid="B58">Zhu et al., 2021</xref>; <xref ref-type="bibr" rid="B26">Liu et al., 2022</xref>). Soil temperature is also an important indicator of climate change and a critical parameter in numerical weather forecasting and climate prediction (<xref ref-type="bibr" rid="B16">Holmes et al., 2008</xref>; <xref ref-type="bibr" rid="B34">Qian et al., 2011</xref>; <xref ref-type="bibr" rid="B1">Albergel et al., 2015</xref>; <xref ref-type="bibr" rid="B23">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B40">Song et al., 2022</xref>). It is currently unknown whether global soil temperatures experienced the same hiatus in rise as that shown in global air temperatures in the early 21st century (<xref ref-type="bibr" rid="B44">Wang et al., 2018</xref>). Soil surface and air temperatures might change in different ways (<xref ref-type="bibr" rid="B55">Zhang et al., 2001</xref>; <xref ref-type="bibr" rid="B34">Qian et al., 2011</xref>; <xref ref-type="bibr" rid="B25">Liu et al., 2017</xref>); therefore, exploring the trends of both could improve understanding of regional environmental/climatological conditions and further elucidate the effects of anthropogenic global warming (<xref ref-type="bibr" rid="B25">Liu et al., 2017</xref>).</p>
<p>The research on soil temperature in different soil layers has attracted extensive attention of scholars at home and abroad (0&#x2013;320&#xa0;cm), e.g., globally and on the national scale (<xref ref-type="bibr" rid="B19">Jacobs et al., 2011</xref>; <xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>; <xref ref-type="bibr" rid="B22">Leeper et al., 2021</xref>; <xref ref-type="bibr" rid="B30">Oogathoo et al., 2022</xref>), on the regional scale (<xref ref-type="bibr" rid="B5">Chudinova et al., 2006</xref>; <xref ref-type="bibr" rid="B20">Knight et al., 2018</xref>), and in China (<xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B45">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B38">Shi and Chen., 2021</xref>) and its subregions (<xref ref-type="bibr" rid="B27">Luo et al., 2016</xref>; <xref ref-type="bibr" rid="B25">Liu et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Yang et al., 2018</xref>; <xref ref-type="bibr" rid="B57">Zhu et al., 2018</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B11">Fang et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Shi et al., 2021</xref>). Such studies have achieved many valuable results regarding the spatiotemporal evolutionary mechanisms and influencing mechanisms of soil temperature in different soil layers. Generally, the main finding is that the temperature of different soil layers shows an obvious warming trend, although the trend of change among different soil layers is not consistent, and there is obvious seasonal and regional heterogeneity. Moreover, the relationships between the trend of warming of soil temperature and precipitation, air temperature, vegetation, and snowfall are also obviously different. However, there has been little research on the annual, seasonal, and monthly trends of change in soil temperature and their influencing factors from the hourly scale, especially in low-latitude plateau areas with complex terrain and biodiversity (i.e., Yunnan Province, China).</p>
<p>To the best of our knowledge, there has been no relevant research of the characteristics of temperature change at different soil depths in Southwest China. <xref ref-type="bibr" rid="B50">You et al. (2013)</xref> performed analysis of the trend of soil temperature at one station in the Ailaoshan Nature Reserve (Yunnan Province, China), but little is known regarding the variation of soil temperature in low-latitude highland areas. Therefore, the objectives of this study were as follows: 1) to quantify the three-dimensional dynamic variation (i.e., temporal, spatial, and vertical) of temperature in different soil layers (5&#x2013;320&#xa0;cm) annually, seasonally, and monthly on the hourly scale during 1961 (2004)&#x2013;2020; 2) to examine the spatiotemporal variations of the 5-cm critical accumulated soil temperature of &#x2265;12 and 14&#xb0;C for daily scales. This study represents the first analysis of soil temperature variations at depths of 5&#x2013;320&#xa0;cm in the low-latitude plateau area of Yunnan Province. The results of this study will provide important reference for further study of hourly soil temperature, weather forecasting, climate prediction, biodiversity conservation (ecological models), and agricultural production in other low-latitude plateau areas.</p>
</sec>
<sec id="s2">
<title>2 Data and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>Yunnan Province is a typical low-latitude plateau region in Southwest China, the northern part of which encompasses high mountains belonging to the southern extension of the Qinghai&#x2013;Tibet Plateau (<xref ref-type="fig" rid="F1">Figure 1</xref>). Mountains, plateaus, and basins account for 84%, 10%, and 6% of the total area of the province, respectively (<xref ref-type="bibr" rid="B28">Ma et al., 2021</xref>). The special geographic location and unique geomorphic environment of Yunnan Province produce obvious regional differences in climate with prominent three-dimensional climatic characteristics. The northern high mountains have a barrier effect on precipitation, and the deep valleys in the west provide a North&#x2013;South corridor for the movement of warm humid air from the ocean (<xref ref-type="bibr" rid="B47">Wu et al., 2012</xref>). The average/maximum/minimum temperature, average precipitation, and relative humidity in Yunnan Province from 1961 to 2020 were 16.5&#xb0;C (102 stations)/23.1&#xb0;C (102 stations)/11.9&#xb0;C (102 stations), 1,105&#xa0;mm (105 stations), and 74.3% (102 stations), respectively.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location and digital elevation model (DEM) of the study area, and locations of the meteorological stations in Yunnan.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Datasets</title>
<p>This study used two data time series obtained from the Yunnan Meteorological Bureau (<ext-link ext-link-type="uri" xlink:href="http://yn.cma.gov.cn/">http://yn.cma.gov.cn/</ext-link>) for analysis of shallow (5, 10, 15, and 20&#xa0;cm) and deep (40&#x2013;320&#xa0;cm) soil temperature (<xref ref-type="table" rid="T1">Table 1</xref>). The first dataset comprised measurements recorded at 08:00, 14:00, and 20:00 Beijing Time (owing to the prevalence of errors in data recorded at 02:00, they are not considered here) from 1 January 1961 to 28 February 2021; the second dataset included each hour observations from 1 January 2004 to 28 February 2021. The quality of the data is strictly controlled, i.e., station data are discarded if there are missing/erroneous values for more than 5&#xa0;days continuously in each month for the first dataset and for more than 1&#xa0;day for the second dataset. Overall, there were few stations with data series that failed quality control. Station migration is the main factor causing sudden change in soil temperature data series. To further guarantee data quality, the following conditions were adopted when selecting the stations for inclusion in the study: 1) Stations with migration distance of no greater than 20&#xa0;km and vertical height displacement of no greater than 100&#xa0;m during 1961&#x2013;2020 were retained, as long as the station underwent no more than two relocations. 2) Missing soil temperature data were replaced by applying linear regression to data of different elevations and from neighboring stations. Shuttle Radar Topography Mission data with 30-m resolution were derived from the Geospatial Data Cloud for China (<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/">https://www.gscloud.cn/</ext-link>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Numbers of stations and timescales of the time series data of different soil layers used in this study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Hour timescale</th>
<th align="center">5&#xa0;cm</th>
<th align="center">10&#xa0;cm</th>
<th align="center">15&#xa0;cm</th>
<th align="center">20&#xa0;cm</th>
<th align="center">Timescale</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">8,14,20&#xa0;h</td>
<td align="center">82</td>
<td align="center">79</td>
<td align="center">75</td>
<td align="center">73</td>
<td align="center">1961&#x2013;2020</td>
</tr>
<tr>
<td align="center">0&#x2013;23&#xa0;h</td>
<td align="center">48</td>
<td align="center">48</td>
<td align="center">48</td>
<td align="center">48</td>
<td align="center">2004&#x2013;2020</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Methodology</title>
<sec id="s2-3-1">
<title>2.3.1 Accumulated soil temperature of &#x2265;12 and 14&#xb0;C at 5-cm depth</title>
<p>Soil temperature indexes might offer helpful estimations of plant growth owing to the strong physiological link between underground temperatures and aboveground phenology, therefore, soil temperature data have also been suggested as indicators of seasonal change (<xref ref-type="bibr" rid="B3">Baldocchi et al., 2005</xref>; <xref ref-type="bibr" rid="B22">Leeper et al., 2021</xref>). Generally, the minimum temperature index required for the suitable sowing date of crops is determined by the temperature 5&#xa0;cm above the ground surface. However, a stable 5-cm soil temperature of 12&#xb0;C&#x2013;14&#xb0;C is also indicative of a time suitable for sowing spring maize (<xref ref-type="bibr" rid="B9">Du et al., 2019</xref>). In this study, the average 5-cm soil temperature at three times (i.e., 08:00, 14:00, and 20:00) was taken as the daily scale, and the accumulated temperature from 1961 to 2020 was &#x3e;12&#xb0;C and 14&#xb0;C. The 5-day moving average method was used to determine the beginning and end days, duration, and accumulated soil temperature when the average 5-cm soil temperature was consistently above 12&#xb0;C and 14&#xb0;C (<xref ref-type="bibr" rid="B48">Yan, 2001</xref>), and the active accumulated temperature was calculated between the beginning and end days as the accumulated temperature of &#x2265;12&#xb0;C and 14&#xb0;C. The 5-cm soil temperature data of &#x2265;12 and 14&#xb0;C in Yunnan Province were established using the arithmetic mean method, including the beginning and end days, duration, and accumulated soil temperature. The multiyear average value was taken as the average value of the climate reference period, i.e., 1981&#x2013;2000.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Interpolation</title>
<p>Hourly soil temperature data were interpolated using a digital elevation model (DEM) into a raster with 1-km resolution using an ensemble of six algorithms (i.e., boosted regression tree, neural network, generalized additive model, multivariate adaptive regression spline, support vector machine, and random forest) using the R &#x201c;Machisplin&#x201d; package. During model tuning, each algorithm was systematically weighted from 0 to 1 and the fit of the ensemble model was evaluated. The best-performing model was determined through <italic>k</italic>-fold cross validation (<italic>k</italic> &#x3d; 10), and the model with the lowest residual sum of squares for the test data was chosen. After determining the best model algorithm and weightings, the final model was created using the full training dataset. Residuals of the final model were calculated from the full training dataset and these values were interpolated using thin-plate-smoothing splines. However, if the <italic>R</italic>
<sup>2</sup> value of the final correction was greater than the <italic>R</italic>
<sup>2</sup> value of the ensemble, the final correction was discarded (<italic>R</italic>
<sup>2</sup> values &#x3e;0.8 for 00:00&#x2013;23:00). For more detailed information on the parameters of the interpolation, see the <xref ref-type="sec" rid="s11">Supplementary Material S1</xref>.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Other methods</title>
<p>Sen&#x2019;s slope estimator and the modified Mann&#x2013;Kendall test using the trend-free prewhitening method were used to determine the trends and the magnitude of the slopes for hour and (<xref ref-type="bibr" rid="B29">Mann, 1945</xref>; <xref ref-type="bibr" rid="B32">Pettitt, 1979</xref>; <xref ref-type="bibr" rid="B43">Theil, 1992</xref>; <xref ref-type="bibr" rid="B52">Yue and Wang, 2002</xref>). Additionally, Spearman correlation analysis was performed between the annual values of temperature in the different soil layers and climate factors.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Continuous average hourly soil temperature change</title>
<p>The annual and seasonal soil temperatures averaged over the period of 2004&#x2013;2020 across Yunnan Province are illustrated in <xref ref-type="fig" rid="F2">Figures 2A&#x2013;E</xref>. It can be seen that the annual and seasonal shallow soil temperatures change considerably, whereas the annual average deep soil temperatures (40&#x2013;320&#xa0;cm) change little; the hourly maximum temperature is 23.9&#xb0;C (15:00) at 5-cm depth and 19.6&#xb0;C at 160- and 320-cm depth (00:00&#x2013;23:00). With increase of the soil layer, the hourly average soil temperature in spring and summer decreases. In spring, the highest soil temperature is 26.0&#xb0;C (15:00) at 5-cm depth and the lowest soil temperature is 18.0&#xb0;C (00:00&#x2013;01:00) at 5-cm depth; in summer, the highest soil temperature is 28.3&#xb0;C (15:00) at 5-cm depth and the lowest soil temperature is 19.9&#xb0;C (00:00&#x2013;23:00) at 320-cm depth. The average hourly soil temperature in autumn and winter increases with increase of the soil layer (the hourly soil temperature is the same for each layer and at each hour at depths of 80&#x2013;320&#xa0;cm). In autumn, the highest temperature is 23.7&#xb0;C (15:00) at 5-cm depth and the lowest temperature is 21.1&#xb0;C (00:00&#x2013;23:00) at 320-cm depth. In winter, the highest temperature is 19.3&#xb0;C (00:00&#x2013;04:00) at 5-cm depth and the lowest temperature is 10.2&#xb0;C at 320-cm depth (00:00&#x2013;23:00).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Annual <bold>(A)</bold>, Spring <bold>(B)</bold>, Summer <bold>(C)</bold>, Autumn <bold>(D)</bold> and Winter <bold>(E)</bold> variations of hourly average soil temperature in Yunnan.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g002.tif"/>
</fig>
<p>The trends of change in annual and seasonal hourly soil temperatures during 2004&#x2013;2020 display a large range at depths of 5&#x2013;20&#xa0;cm, whereas the amplitude of the significant trend of change in hourly temperature in deep soil layers (40&#x2013;320&#xa0;cm) is largely constant and significant (except for individual hours in winter). Specifically, the trend of change annually and in spring is most consistent, whereas the hourly trend of warming in summer is more significant than that in other seasons (<xref ref-type="fig" rid="F3">Figure 3</xref>). Meanwhile, annually, the slope of the trend ranges from &#x2212;0.61&#xb0;C to 0.84&#xb0;C/year at 5-cm depth, &#x2212;0.32&#xb0;C&#x2013;0.92&#xb0;C/year at 10-cm depth, &#x2212;0.17&#xb0;C&#x2013;0.36&#xb0;C/year at 15-cm depth, and &#x2212;0.10&#xb0;C to 0.23&#xb0;C/year at 20-cm depth. In spring, the slope of the trend ranges from &#x2212;0.64&#xb0;C to 0.92&#xb0;C/year at 5-cm depth, &#x2212;0.32&#xb0;C&#x2013;0.59&#xb0;C/year at 10-cm depth, &#x2212;0.16&#xb0;C&#x2013;0.40&#xb0;C/year at 15-cm depth, and &#x2212;0.08 to 0.25&#xb0;C/year at 20-cm depth. In summer, the slope of the trend ranges from &#x2212;0.57 to 0.76&#xb0;C/year at 5-cm depth, &#x2212;0.32&#xb0;C&#x2013;0.50&#xb0;C/year at 10-cm depth, &#x2212;0.18&#xb0;C&#x2013;0.33&#xb0;C/year at 15-cm depth, and &#x2212;0.10&#xb0;C to 0.21&#xb0;C/year at 20-cm depth. In autumn, the slope of the trend ranges from &#x2212;0.56&#xb0;C to 0.72&#xb0;C/year at 5-cm depth, &#x2212;0.33&#xb0;C&#x2013;0.48&#xb0;C/year at 10-cm depth, &#x2212;0.17&#xb0;C&#x2013;0.33&#xb0;C/year at 15-cm depth, and &#x2212;0.10&#xb0;C to 0.20&#xb0;C/year at 20-cm depth. In winter, the slope of the trend ranges from &#x2212;0.66&#xb0;C to 0.89&#xb0;C/year at 5-cm depth, &#x2212;0.35&#xb0;C&#x2013;0.53&#xb0;C/year at 10-cm depth, &#x2212;0.18&#xb0;C&#x2013;0.35&#xb0;C/year at 15-cm depth, and &#x2212;010&#xb0;C to 0.22&#xb0;C/year at 20-cm depth for each hour. Additionally, annually and seasonally, the trend is upward at 02:00&#x2013;11:00 (significant) and downward at both 00:00&#x2013;01:00 (significant) and 12:00&#x2013;23:00 (insignificant) at 5-cm depth. The trend is upward at 04:00&#x2013;13:00 (significant, except in autumn) and downward at both 00:00&#x2013;02:00 (significant) and 15:00&#x2013;23:00 (insignificant, annually and in spring; significant, in summer, autumn, and winter) at 10-cm depth. The trend is upward at 05:00&#x2013;15:00 (significant, annually and in spring and summer; 06:00&#x2013;15:00 significant, in autumn and winter) and downward at both 00:00&#x2013;03:00 (significant) and 16:00&#x2013;23:00 (insignificant, annually and in spring; significant, in summer, autumn, and winter) at 15-cm depth. The trend is upward at 06:00&#x2013;17:00 (significant, annually and in spring; 07:00&#x2013;16:00 significant, in summer and autumn; 08:00&#x2013;16:00 significant, in winter) and downward at both 00:00&#x2013;05:00 (00:00&#x2013;02:00 significant, annually and seasonally) and 18:00&#x2013;23:00 (20:00&#x2013;23:00 significant, annually and in winter; 19:00&#x2013;23:00 significant, in summer and autumn) at 20-cm depth. Furthermore, temperature change at depths of 0&#x2013;20&#xa0;cm is mainly dominated by a significant upward trend at the majority of stations, and mainly concentrated during 03:00&#x2013;11:00, 04:00&#x2013;13:00, 06:00&#x2013;14:00, and 08:00&#x2013;15:00 at depths of 5, 10, 15, and 20&#xa0;cm, respectively, whereas deep soil temperature is mainly dominated by a significant downward trend, although it is evident only at a relatively small percentage of stations annually and in spring. In summer, autumn, and winter, the significant upward trend in shallow soil temperature is mainly concentrated during 02:00&#x2013;17:00 for average timescales and the majority of stations, while the significant downward trend is mainly concentrated during 13:00&#x2013;23:00. The percentage of stations with significant upward and downward trends in deep soil temperature is lower than that for shallow layers both annually and seasonally (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Annual <bold>(A)</bold>, Spring <bold>(B)</bold>, Summer <bold>(C)</bold>, Autumn <bold>(D)</bold> and Winter <bold>(E)</bold> hourly average soil temperature slope during 2004&#x2013;2020 (red symbol indicates significance at the &#x2264;0.05 level).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Station percentages of annual <bold>(A)</bold>, Spring <bold>(B)</bold>, Summer <bold>(C)</bold>, Autumn <bold>(D)</bold> and Winter <bold>(E)</bold> soil temperature change trend at depths of 5&#x2013;320&#x00A0;cm during 2004&#x2013;2020 in Yunnan (plus sign indicates significant percentage increase, minus sign indicates significant percentage decrease, and gray shading indicates percentage without significant increase or decrease).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g004.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> presents the temporal distributions of soil temperature at depths of 5&#x2013;320&#xa0;cm on the monthly scale during 2004&#x2013;2020, which show marked variation. The range of fluctuation of shallow soil temperature (depth: 5&#x2013;20&#xa0;cm) is large during February&#x2013;November, especially at depths of 5&#x2013;10&#xa0;cm. Conversely, the deep soil temperature (depth: 40&#x2013;320&#xa0;cm) is almost the same every hour without fluctuation, but it also shows different characteristics. The deep soil temperature increases with increase of the soil layer during January&#x2013;February and November&#x2013;December, especially during January&#x2013;February. During April&#x2013;September, the deep soil temperature decreases with increase of the soil layer. Meanwhile, we note that the trend of monthly soil temperature change is inconsistent with the average soil temperature (<xref ref-type="fig" rid="F6">Figure 6</xref>). The magnitude of the rate of change of the shallow soil temperature (depth: 5&#x2013;10&#xa0;cm) fluctuates greatly, while the hourly rate of change of the deep soil temperature varies little, showing a significant trend of increase, especially during April&#x2013;June and in August and December. Overall, the significant trend of change of hourly soil temperature in January, May&#x2013;August, and November&#x2013;December is more obvious than that in other months, whereas the significant trend of change in February is weaker. It can be seen from <xref ref-type="fig" rid="F7">Figure 7</xref> that the percentage of stations with a significant uptrend or downtrend in soil temperature in shallow layers is higher than that of stations with a significant uptrend or downtrend in deep soil temperature. Shallow soil temperature exhibits an upward trend from February&#x2013;May, mainly concentrated during 02:00&#x2013;15:00. In other months, the temperature in each soil layer exhibits a significant uptrend at a higher percentage of stations than in the previous period, and then a significant downtrend at a higher percentage of stations in the subsequent period. Furthermore, the deep soil temperature shows significant increase and decrease in the percentage of stations with little or no significant decrease from January&#x2013;December in all soil layers.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>January <bold>(A)</bold>, February <bold>(B)</bold>, March <bold>(C)</bold>, April <bold>(D)</bold>, May <bold>(E)</bold>, June <bold>(F)</bold>, July <bold>(G)</bold>, August <bold>(H)</bold>, September <bold>(I)</bold>, October <bold>(J)</bold>, November <bold>(K)</bold>, December <bold>(L)</bold> hourly average soil temperature during 2004&#x2013;2020 in Yunnan.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>January <bold>(A)</bold>, February <bold>(B)</bold>, March <bold>(C)</bold>, April <bold>(D)</bold>, May <bold>(E)</bold>, June <bold>(F)</bold>, July <bold>(G)</bold>, August <bold>(H)</bold>, September <bold>(I)</bold>, October <bold>(J)</bold>, November <bold>(K)</bold>, December <bold>(L)</bold> hourly average soil temperature slope during 2004&#x2013;2020 in Yunnan (the red symbol indicates &#x2264;0.05 significant).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Station percentages of January <bold>(A)</bold>, February <bold>(B)</bold>, March <bold>(C)</bold>, April <bold>(D)</bold>, May <bold>(E)</bold>, June <bold>(F)</bold>, July <bold>(G)</bold>, August <bold>(H)</bold>, September <bold>(I)</bold>, October <bold>(J)</bold>, November <bold>(K)</bold>, December <bold>(L)</bold> soil temperature change trend at depths of 5&#x2013;320&#x00A0;cm during 2004&#x2013;2020 in Yunnan (plus sign indicates significant percentage increase, minus sign indicates significant percentage decrease, and gray shading indicates percentage without significant increase or decrease).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g007.tif"/>
</fig>
<p>Considering the 1-km DEM, the 08:00, 14:00, and 20:00 soil temperatures at depths of 5&#x2013;320&#xa0;cm averaged over 2004&#x2013;2020 were interpolated using six types of machine learning (the optimal model, ensemble weights (%), and <italic>R</italic>
<sup>2</sup> are detailed in <xref ref-type="sec" rid="s11">Supplementary Tables S1&#x2013;S3</xref>. Except for a few values of <italic>R</italic>
<sup>2</sup> &#x3c; 0.8, the other values of &#x3e;0.8 indicated that the interpolation results were ideal and could be used for spatial interpolation). The spatial variation of soil temperature at depths of 5&#x2013;320&#xa0;cm is characterized (only the map of the spatial distribution at depth of 5&#xa0;cm is shown) by lower values in northwestern and northeastern parts of Yunnan Province and higher values in the south, especially in the dry and hot valley areas (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Three-dimensional dynamic variation of hourly soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00</title>
<sec id="s3-2-1">
<title>3.2.1 Monthly characteristics of average hourly soil temperatures</title>
<p>Because soil temperature observations at 02:00 and in deeper layers (40&#x2013;320&#xa0;cm) are insufficient for further analyses, we investigated the changes in soil temperature during 1961&#x2013;2020 at three specific times: 08:00; 14:00, and 20:00. As can be seen from <xref ref-type="fig" rid="F8">Figure 8</xref>, the higher values of soil temperature at the three specific times are mainly concentrated in April&#x2013;September, the highest value in the 10-cm soil layer is at 20:00, and the rate of change of soil temperature at the three times varies less at 10 and 15&#xa0;cm than at 5 and 20&#xa0;cm. The magnitudes of the rate of change in soil temperature at the three times at depths of 5&#x2013;20&#xa0;cm during May&#x2013;October (wet season) are smaller than in other months (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>), especially from July&#x2013;September, indicating that the increase in soil temperature during the wet season is smaller than that in the dry season.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Monthly variation in hourly average temperature at depths of 5&#x2013;20&#x00A0;cm at 08:00, 14:00, and 20:00 in Yunnan during 1961&#x2013;2020 [<bold>(A,D,G,J)</bold> denotes at 08:00; <bold>(B,E,H,K)</bold> denotes at 14:00; <bold>(C,F,I,L)</bold> denotes at 20:00].</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g008.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Annual and seasonal changes of soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00</title>
<p>It can be seen from <xref ref-type="fig" rid="F9">Figure 9</xref> that the annual and seasonal soil temperature increases with increase of the soil layer (average of all station values), and that the values in spring and summer are higher than those in autumn and winter (<xref ref-type="fig" rid="F9">Figure 9A</xref>) at 08:00 during 1961&#x2013;2020. From the rate of change, it can be seen that the magnitude of fluctuation in winter is larger than that annually and in other seasons at depths of 5&#x2013;20&#xa0;cm at 08:00 (<xref ref-type="fig" rid="F9">Figure 9B</xref>). Meanwhile, the annual and seasonal soil temperature decreases with increase of the soil layer (<xref ref-type="fig" rid="F9">Figure 9C</xref>), whereas the trend of change of annual and seasonal soil temperature increases with increase of the soil layer (<xref ref-type="fig" rid="F9">Figure 9D</xref>). Furthermore, the annual and seasonal fluctuations of soil temperature are relatively stable, except in spring and summer when the soil temperature is higher (<xref ref-type="fig" rid="F9">Figure 9E</xref>), while the rate of change of annual and seasonal soil temperature shows an uptrend with increase of the soil layer (<xref ref-type="fig" rid="F9">Figure 9F</xref>). In terms of abrupt change points, annual and seasonal soil temperature show abrupt change mainly in the 1990s and early 2000s at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00 (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Annual and seasonal hourly average temperatures <bold>(A,C,E)</bold> and slopes <bold>(B,D,F)</bold> at depths of 5, 10, 15, and 20&#x00A0;cm at 08:00, 14:00, and 20:00 in Yunnan.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g009.tif"/>
</fig>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Spatial patterns of soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00</title>
<p>The annual and seasonal spatial variation of hourly soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00 is the same as that shown in <xref ref-type="fig" rid="F10">Figure 10</xref> (only the annual spatial variation is shown) during 1961&#x2013;2020. At 08:00, the percentages of stations with a significant uptrend in the rate of change of annual/spring/summer/autumn/winter hourly soil temperature are 91.5%/80.5%/93.9%/80.5%/87.8%, 82.3%/77.2%/86.1%/77.2%/89.9%, 88.0%/78.7%/82.7%/77.3%/93.3%, and 90.4%/80.8%/90.4%/87.8%/95.9% at depths of 5, 10, 15, and 20&#xa0;cm, respectively. At 14:00, the percentages of stations with a significant uptrend in the rate of change of annual/spring/summer/autumn/winter hourly soil temperature are 2.4%/3.7%/2.4%/1.2%/2.4%, 36.7%/32.9%/31.6%/26.6%/53.2%, 61.3%/54.7%/66.7%/66.7%/82.7%, and 78.1%/64.4%/76.7%/74.0%/89.0% for depths of 5, 10, 15, and 20&#xa0;cm, respectively. At 20:00, the percentages of stations with a significant uptrend in the rate of change of annual/spring/summer/autumn/winter hourly soil temperature are 3.7%/6.1%/2.4%/2.4%/2.4%, 6.3%/5.1%/0/0/0, 12.0%/10.7%/4.0%/1.3%/17.3%, and 37.0%/32.9%/23.3%/34.2%/52.1% at depths of 5, 10, 15, and 20&#xa0;cm, respectively. A significant downtrend is more obvious at depths of 5&#x2013;10&#xa0;cm (except annually), and a significant uptrend is more obvious at depths of 15&#x2013;20&#xa0;cm annually and seasonally (except in autumn).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Spatial variation of annual hourly average temperature and slope at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00 in Yunnan.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g010.tif"/>
</fig>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Vertical variation of soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00</title>
<p>Spatial patterns for the 08:00, 14:00 and 20:00 soil temperatures at depths of 5&#x2013;20&#xa0;cm shows in <xref ref-type="fig" rid="F11">Figure 11</xref>. The results of the weighted averages of the six types of machine learning were taken, and then the average value and rate of variation were calculated for elevation zones with 100-m intervals. We found that the average soil temperature decreases with increasing elevation, the average soil temperature decreases at the three specific times, the average soil temperature is higher at 14:00 than at both 08:00 and 20:00 at the depth of 5&#xa0;cm, and the average soil temperature is higher at 20:00 than at both 08:00 and 14:00 at depths of 10, 15, and 20&#xa0;cm. Furthermore, the slope of the trend gradually changes from an uptrend to a downtrend at 14:00 and 20:00 with increase of elevation and is mainly insignificant, while the magnitude of the uptrend at 08:00 also decreases with increase of elevation but does not change to a negative trend, and the significant uptrend is mainly concentrated at elevations of 92&#x2013;2,692&#xa0;m at 5-cm depth. The magnitude of the uptrend increases with the increase of elevation at 08:00 and 14:00, the significant uptrend is more obvious at 08:00 than at 14:00, and the slope first increases and then changes to a negative trend with the increase of elevation at 20:00 at the depth of 10&#xa0;cm. The magnitude of the significant uptrend (except in individual lower-elevation zones at 14:00) at 08:00 and 14:00 increases with the increase of elevation, and the slope shows an upward trend with a small range of fluctuation (except in elevation zones in the range 92&#x2013;692&#xa0;m, which display a downtrend) that is insignificant at 20:00 at depth of 15&#xa0;cm. The magnitude of the significant uptrend (insignificant for elevation zones in the range 892&#x2013;1992&#xa0;m) decreases for elevation zones in the range 92&#x2013;1892&#xa0;m and then increases with further increase in elevation at 08:00, 14:00, and 20:00 at depth of 20&#xa0;cm.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Average value and slope soil temperature at depths of 5 <bold>(A)</bold>, 10 <bold>(B)</bold>, 15 <bold>(C)</bold>, 20 <bold>(D)</bold> cm in different elevation zones from 1961 to 2020 (the red symbol indicates &#x2264;0.05 significant).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g011.tif"/>
</fig>
<p>We further investigated the percentages of pixels with significant uptrend and downtrends at different elevations (<xref ref-type="fig" rid="F12">Figure 12</xref>). The results show significant decrease in percentages with the increase of elevation (except elevation zones in the range 192&#x2013;2192&#xa0;m at 08:00 and 92&#x2013;582&#xa0;m at 14:00 and 20:00) at 08:00, 14:00, and 20:00 at depth of 5&#xa0;cm, significant increase at 08:00 and 14:00 (except elevation zones in the range 92&#x2013;1,392&#xa0;m), and significant decrease at 20:00 at depth of 10&#xa0;cm. The percentages mainly reflect significant increase at 08:00, 14:00, and 20:00 (except significant decrease at 20:00 at depths of 15 and 20&#xa0;cm in elevation zones in the range 992&#x2013;1892&#xa0;m) at depths of 15 and 20&#xa0;cm.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Percentage of 5&#x2013;20-cm soil temperatures with significant uptrend and downtrend at different elevations from 1961 to 2020 (gray shaded area indicates the percentage without significant uptrend and downtrend).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g012.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Temporal and spatial variations of critical accumulated soil temperature &#x2265;12 and 14&#xb0;C at depth of 5&#xa0;cm</title>
<sec id="s3-3-1">
<title>3.3.1 Temporal variation</title>
<p>
<xref ref-type="fig" rid="F13">Figure 13</xref> shows that the beginning date has a significant trend of advance with a rate of &#x2212;0.22/year for accumulated soil temperature of 12&#xb0;C and &#x2212;0.24/year for accumulated soil temperature of 14&#xb0;C, while the end date has a significant trend of delay with a rate of 0.13/year for accumulated soil temperature of 12&#xb0;C and 0.18/year for accumulated soil temperature of 14&#xb0;C. The duration shows an obvious trend of extension with a rate of 0.33 days/year for accumulated soil temperature of 12&#xb0;C and 0.40&#xa0;days/year for accumulated soil temperature of 14&#xb0;C. The accumulated soil temperature shows a significant uptrend with a rate of 11.76&#xb0;C/year for accumulated soil temperature of 12&#xb0;C and 12.75&#xb0;C/year for accumulated soil temperature of 14&#xb0;C. Meanwhile, the years with abrupt changes in the trends of the beginning date, end date, duration, and accumulated soil temperature of 12 and 14&#xb0;C are mainly concentrated during 1993&#x2013;1997.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Temporal variation of <bold>(A)</bold> beginning date, <bold>(B)</bold> end date, <bold>(C)</bold> duration, and <bold>(D)</bold> accumulated temperature of daily soil temperature &#x2265;12 and 14&#xb0;C at 5-cm depth.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g013.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Spatial variation</title>
<p>From the perspective of spatial distribution (<xref ref-type="fig" rid="F14">Figure 14</xref>), except in Northwest and Northeast Yunnan Province, the beginning date for accumulated soil temperature of 12&#xb0;C (14&#xb0;C) is mostly concentrated in the period January 3&#x2013;10 (April 7); the latest date is March 4 at Weixi station in Northwest Yunnan. The percentage of stations with a significant downtrend is 51.2% (70.7%) for accumulated soil temperature of 12&#xb0;C (14&#xb0;C). Furthermore, the higher value areas of end date, duration, and accumulated soil temperature are mainly concentrated in the dry hot valley areas in northern, central, and southern parts of Yunnan Province. Specifically, the earliest end date, shortest duration, and lowest accumulated soil temperature occur in Northwest Yunnan Province (Wei station), and the latest end date, longest duration, and highest accumulated soil temperature occur in Southwest Yunnan Province (the end date is the same for18 (6) stations, the duration is same for 16 (2)stations, the highest accumulated soil temperature is at Yuanjiang station (dry hot valley), and lowest accumulated soil temperature is at Weixi station for accumulated soil temperature of 12&#xb0;C (14&#xb0;C). The percentage of stations with a significant uptrend for the end date is 36.6% (48.8%), the percentage of stations with a significant uptrend for duration is 52.4% (59.8%), and the percentage of stations with a significant uptrend for accumulated soil temperature is 76.8% (73.2%) for accumulated soil temperature of 12&#xb0;C (14&#xb0;C).</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Spatial variation of <bold>(A,B)</bold> beginning date, <bold>(C,D)</bold> end date <bold>(E,F)</bold> duration, and <bold>(G,H)</bold> accumulated temperature of daily soil temperature &#x2265;12 and 14&#xb0;C at 5-cm depth.</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g014.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Analysis of influencing factors of soil temperature at depths of 5&#x2013;320&#xa0;cm at 00:00&#x2013;23:00 and at 08:00, 14:00, and 20:00</title>
<sec id="s3-4-1">
<title>3.4.1 Analysis of influencing factors of soil temperature at depths of 5&#x2013;320&#xa0;cm at 00:00&#x2013;23:00</title>
<p>
<xref ref-type="fig" rid="F15">Figure 15</xref> shows the Spearman correlation coefficients for 00:00&#x2013;23:00 soil temperature with climatic factors during 2004&#x2013;2020. The results indicate that soil temperature has significant negative correlation with latitude and elevation. The coefficient of correlation with elevation is highest, but there is significant positive correlation (&#x3e;0.9) with surface temperature (AST0, MaxAST0, and MinAST0) and air temperature (AT, MaxAT, and MinAT), whereas no correlation is found with relative humidity (RH) (depth: 40&#x2013;320&#xa0;cm) and wind speed (WS) (depth: 5&#x2013;320&#xa0;cm). We also note significant positive correlation of soil temperature at depths of 5&#x2013;20&#xa0;cm with total precipitation (TP) and daytime precipitation (DP) (except 13:00&#x2013;18:00 at 5-cm depth), and at depths of 40 and 320&#xa0;cm with DP.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Spearman correlation coefficients between soil temperature at depths of 5 <bold>(A)</bold>, 10 <bold>(B)</bold>, 15 <bold>(C)</bold>, 20 <bold>(D)</bold>, 40 <bold>(E)</bold>, 80 <bold>(F)</bold>, 160 <bold>(G)</bold>, 320 <bold>(H)</bold> cm and climatic factors at 00:00&#x2013;23:00 for average values of 2004&#x2013;2020 (La, latitude; Al, altitude; AST0, 0&#xa0;cm average surface temperature; MaxST0, 0&#xa0;cm average maximum surface temperature; MinST0, 0&#xa0;cm average minimum surface temperature; AT, average air temperature; MaxAT, average maximum air temperature; MinAT, average air minimum temperature; TP, total precipitation; DP, daytime precipitation; RH, relative humidity; WS, average wind speed; gray shading indicates no correlation).</p>
</caption>
<graphic xlink:href="fenvs-10-1091985-g015.tif"/>
</fig>
</sec>
<sec id="s3-4-2">
<title>3.4.2 Analysis of influencing factors of soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00</title>
<p>Similar to the results for 00:00&#x2013;23:00 (<xref ref-type="fig" rid="F15">Figure 15</xref>), soil temperature at depths of 5&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00 has significant negative correlation with latitude and elevation, weaker significant correlation with longitude annually and seasonally for some soil layers, significant positive correlation with surface temperature (AST0, Max AST0, and Min AST0) and air temperature (AT, MaxAT, and MinAT), significant negative correlation with WS annually and seasonally, and insignificant correlation with SD (except in autumn at 5-cm depth). Overall, significant correlation with precipitation (TP, DP, and nighttime precipitation (NP) and RH is not obvious, except in some soil layers at individual stations annually and seasonally (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>).</p>
<p>Furthermore, we also investigated the correlation between the soil temperature of different soil layers and climatic elements during 00:00&#x2013;23:00 during 2004&#x2013;2020 and 8:00, 14:00, 20:00 during 1961&#x2013;2020 on the station scale. <xref ref-type="sec" rid="s11">Supplementary Table S1</xref> shows the number of stations with the largest significant positive correlation (negative correlation in parentheses) during 00:00&#x2013;23:00. Similar to <xref ref-type="fig" rid="F15">Figure 15</xref>, the results show that the soil temperature of the different soil layers has the largest significant positive correlation with surface temperature (AST0, MaxST0, and MinST0), air temperature (AT, ATAMax, and ATAMin), TP, and WS in comparison with other climatic elements during 00:00&#x2013;23:00 annually and seasonally (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>), and that there are more stations with large significant positive correlation, especially at depths of 5&#x2013;20&#xa0;cm during 2004&#x2013;2020. Moreover, SD, DP, and NP have the largest significant negative correlation at most stations; RH has the largest significant correlation at a few stations, but it does not appear in all soil layers. The largest significant correlations at 08:00, 14:00, and 20:00 during 1961&#x2013;2020 are broadly the same as during 00:00&#x2013;23:00 (<xref ref-type="sec" rid="s11">Supplementary Table S2</xref>); however, TP has large significant correlation at almost no stations. Contrary to the correlations during 00:00&#x2013;23:00, SD has more stations with large significant positive correlation, WS shows more stations with large negative correlation, and RH has large significant positive correlation at most stations in spring and in all soil layers (annual and in other seasons, stations with the most significant negative correlation do not appear in all soil layers).</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Change trend</title>
<p>A change in soil temperature might alter the physical properties of soil, which could then impart substantial impact on the physical, chemical, and biological processes occurring both above and below ground (<xref ref-type="bibr" rid="B8">Davidson and Janssens., 2006</xref>; <xref ref-type="bibr" rid="B13">Giardina et al., 2014</xref>; <xref ref-type="bibr" rid="B14">Hartley., 2014</xref>; <xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>; <xref ref-type="bibr" rid="B23">Li et al., 2022</xref>). Understanding the variations of soil temperature is of great importance for assessing energy exchange between the soil and the atmosphere in relation to climate change (<xref ref-type="bibr" rid="B10">Du et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Shen et al., 2020</xref>; <xref ref-type="bibr" rid="B26">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B30">Oogathoo et al., 2022</xref>; <xref ref-type="bibr" rid="B40">Song et al., 2022</xref>). This study found a significant seasonal pattern contrary to the variation of average shallow and deep soil temperature, i.e., it decreases (increases) with increasing soil depth in spring and summer (autumn and winter) at 00:00&#x2013;23:00. This finding is the same as that reported for Jiangsu Province, China (<xref ref-type="bibr" rid="B38">Shi and Chen, 2021</xref>), and eastern Australia (<xref ref-type="bibr" rid="B20">Knight et al., 2018</xref>) for daily soil temperature, showing that soil temperature is sensitive to short-term weather processes in terms of land&#x2013;atmosphere exchange. In spring and summer, the land surface acts as an energy source and the deep soil acts as an energy receiver; in autumn and winter, their relations are reversed (<xref ref-type="bibr" rid="B18">Hu and Feng, 2003</xref>). Such reversed vertical energy processes result in the reversal of the vertical pattern of soil temperature (<xref ref-type="bibr" rid="B38">Shi and Chen, 2021</xref>). Previous research based on the daily soil temperature shallow and deep soil temperature revealed rising soil temperatures annually and seasonally in eastern Australia (<xref ref-type="bibr" rid="B20">Knight et al., 2018</xref>), metropolitan cities of Korea (<xref ref-type="bibr" rid="B4">Cheon et al., 2014</xref>), Croatia (<xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>), the Tibetan Plateau, China (<xref ref-type="bibr" rid="B57">Zhu et al., 2018</xref>; <xref ref-type="bibr" rid="B12">Fang et al., 2019</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2020</xref>), Jiangsu Province (<xref ref-type="bibr" rid="B39">Shi et al., 2021</xref>) and China (<xref ref-type="bibr" rid="B44">Wang et al., 2018</xref>, <xref ref-type="bibr" rid="B45">2021</xref>; <xref ref-type="bibr" rid="B39">Shi et al., 2021</xref>), and our results are consistent. Importantly, we found that the trend of change in shallow soil temperature (0&#x2013;20&#xa0;cm) fluctuates greatly, while the marked trend of change in deep soil temperature (40&#x2013;320&#xa0;cm) is almost the same at annual, seasonal, and monthly scales on average during the time series. However, the trend of change in annual, seasonal, and monthly hourly shallow soil temperature (0&#x2013;20&#xa0;cm) is obvious for most stations, whereas the corresponding changes in deep soil temperature (40&#x2013;320&#xa0;cm) are not, which means that deeper strata are probably affected less by meteorological fluctuations in Yunnan Province. Furthermore, the trend of spatiotemporal change in shallow soil temperature is very obvious. Therefore, it is necessary to consider the increase in soil respiration and the change in carbon sinks in aboveground and underground biomass when calculating the carbon balance of an ecosystem (<xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>), especially in Yunnan Province, which has rich biodiversity.</p>
<p>We also revealed the vertical variation of the average soil temperature with elevation. The average soil temperature decreases at the three specific times (08:00, 14:00, and 20:00), and the average soil temperatures are different at depths of 5 and 10&#x2013;20&#xa0;cm. Moreover, the average soil temperatures are higher at 14:00 than at 08:00 and 20:00 at 5-cm depth, whereas the values are higher at 20:00 than at 08:00 and 14:00 at depths of 10&#x2013;20&#xa0;cm. The increase in soil temperature in different soil layers with elevation is significant except at 5-cm depth, and rate of change is significant at 08:00 and 14:00 at depths of 15&#x2013;20&#xa0;cm; the change is significant at depth of 20&#xa0;cm in all elevation zones, except at some elevations at 20:00. We first revealed the vertical gradient change in shallow soil temperature in low-latitude highland areas (Yunnan Province), which has not been reported before and might have some relevance for regional climate modeling and ecosystem modeling.</p>
</sec>
<sec id="s4-2">
<title>4.2 Critical accumulated soil temperature of &#x2265;12 and 14&#xb0;C at 5-cm depth</title>
<p>Different plant species have their own biological minimum during their growth cycle, germination, and emergence, which is very important for growth (<xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>). If soil temperature drops below a certain threshold, the amounts of water and nutrients that roots can absorb decrease, which can lead to delay in certain developmental stages of plants (<xref ref-type="bibr" rid="B33">Porter and Gawith, 1999</xref>; <xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>). Soil temperature accounted for approximately 90% of the change in net photosynthesis (<xref ref-type="bibr" rid="B36">Schwarz et al., 1997</xref>). Similarly, soil temperature is associated with limited underground plant (i.e., root) growth and development, which accounts for 50%&#x2013;90% of all terrestrial plant growth (<xref ref-type="bibr" rid="B35">Ruess et al., 2003</xref>; <xref ref-type="bibr" rid="B41">Steinaker and Wilson, 2008</xref>). Therefore, soil temperature plays a key role in crop growth. Furthermore, a stable soil temperature above 12&#xb0;C&#x2013;14&#xb0;C is suitable for sowing spring maize (<xref ref-type="bibr" rid="B9">Du et al., 2019</xref>). Meanwhile, <xref ref-type="bibr" rid="B22">Leeper et al. (2021)</xref> also highlighted that start of season estimates based on 5-cm soil temperature not only had lower measures of error than the traditional start of season based on 0-cm surface temperature, but also were a better match with the start of season based on NDVI for 41.3% (27.2%) of stations in years when 5-cm soil temperature (air temperature) measurements were available. In this study, we found that the start date has advanced, the end date has become delayed, duration has extended, and the critical accumulated soil temperature of &#x2265;12 and 14&#xb0;C at 5-cm depth has an upward trend, which are characteristics conducive to the emergence of crops and to the growth of strong seedlings and roots. For example, such changes can advance the date of sowing of early spring maize and support robust growth (<xref ref-type="bibr" rid="B9">Du et al., 2019</xref>). There is no doubt that the 5-cm soil temperature has undergone substantial change, and that plant phenology, vegetation shift, niche variety, and ecosystem stability are all likely to be impacted by soil warming, together with other ecological processes. This finding could support the government of Yunnan Province in adjusting the local agricultural structure and reasonably formulating appropriate sowing dates for corn, potatoes, and other crops. However, higher soil temperatures can be detrimental to some agricultural crops, causing many plant diseases and pests to become activated and microbiological activity to become reduced (<xref ref-type="bibr" rid="B42">Svili&#x10d;i&#x107; et al., 2016</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Influencing factors</title>
<p>Air temperature and precipitation are the main factors that determine the variation in soil temperature (<xref ref-type="bibr" rid="B15">Helama et al., 2011</xref>; <xref ref-type="bibr" rid="B49">Yang et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Zhang et al., 2021</xref>; <xref ref-type="bibr" rid="B56">Zhao et al., 2021</xref>). However, large-scale atmospheric or boundary conditions might contribute to the change in nighttime soil surface temperatures (<xref ref-type="bibr" rid="B44">Wang et al., 2018</xref>). We found that soil temperature has significant negative correlation with elevation and latitude at 00:00&#x2013;23:00 during 2004&#x2013;2020 and at 08:00, 14:00, and 20:00 annually and seasonally during 1961&#x2013;2020. Conversely, <xref ref-type="bibr" rid="B57">Zhu et al. (2018)</xref>, <xref ref-type="bibr" rid="B6">Cuo et al. (2013)</xref>, and <xref ref-type="bibr" rid="B51">You et al. (2010)</xref> all argued that the correlation between the uptrend in soil temperature and station elevation is non-significant. <xref ref-type="bibr" rid="B1">Albergel et al. (2015)</xref> found that incorporating orography data in a forecast system had strong impact on the outcomes of the performance evaluation of soil temperature forecasts. This seems contradictory and the discrepancy might be attributable to different dataset types, different methods, and different study periods (<xref ref-type="bibr" rid="B31">Pepin et al., 2015</xref>; <xref ref-type="bibr" rid="B57">Zhu et al., 2018</xref>), and more obvious spatial heterogeneity, all of which need further study. We found significant positive correlation between soil temperature and both surface temperature (AST0, AMaxST0, and AMinST0) and air temperature (AT, ATAMax, and ATAMin), and between soil temperature at the majority of stations and both WS and SD at 00:00&#x2013;23:00 and at 08:00, 14:00, and 20:00, but with the opposite characteristics. Most stations have significant negative (positive) correlation with SD (WS) at 00:00&#x2013;23:00 at depths of 5&#x2013;320&#xa0;cm, whereas most stations have significant positive (negative) correlation with SD (WS) at 08:00, 14:00, and 20:00 at depths of 5&#x2013;20&#xa0;cm on annual and seasonal timescales. Furthermore, the correlation between soil temperature and precipitation (TP, DP, and NP) and RH is weaker at 00:00&#x2013;23:00 (except TP) and at 08:00, 14:00, and 20:00 on annual and seasonal timescales. Significant correlation with air temperature and snow cover was also found in China (<xref ref-type="bibr" rid="B44">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Zhang et al., 2021</xref>); however, on the Tibetan Plateau, <xref ref-type="bibr" rid="B12">Fang et al. (2019)</xref> identified the central role of air temperature in soil warming, whilst also highlighting that the relationship between soil temperature and precipitation is complicated owing to the presence of frozen ground in the area. Higher precipitation also induced higher soil temperature (0&#x2013;320&#xa0;cm), while inhibiting the impact of the freeze&#x2013;thaw process on soil temperature in summer during 1960&#x2013;2014 for 66 stations. <xref ref-type="bibr" rid="B46">Wang et al. (2020)</xref> found that soil temperature (0&#x2013;20&#xa0;cm) variability was strongly correlated with the change in air temperature but weakly correlated with precipitation during 1965&#x2013;2014 for 56 stations. It can be seen that, even in the same area, different results will be obtained by revealing those factors that affect the change in temperature of different soil layers. Therefore, it remains necessary to further explore the driving factors of temperature change in different soil layers in different regions using various methods.</p>
</sec>
<sec id="s4-4">
<title>4.4 Limitations</title>
<p>One of the limitations of this study is the uncertainty regarding the influencing factors. For example, even for the same location (Tibetan Plateau), the results obtained can differ from those reported in the literature (<xref ref-type="bibr" rid="B12">Fang et al., 2019</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2020</xref>). Furthermore, we used six machine learning methods to interpolate the spatial distribution of hourly soil temperature, and the interpolation parameters are relatively ideal (please see <xref ref-type="sec" rid="s11">Supplementary Material S1</xref>); however, other influencing factors such as snow cover and vegetation also need further consideration.</p>
<p>At the same time, more stations also need to further collect, so that the interpolation is more accurate. Additionally, <xref ref-type="bibr" rid="B44">Wang et al. (2018)</xref> indicated that the effects of urbanization on soil temperature are small, whereas <xref ref-type="bibr" rid="B4">Cheon et al. (2014)</xref> revealed that the soil temperature in metropolitan cities increases with the increase of anthropogenic urban heat. Therefore, in future research, many other variables such as land use, the urban heat island, snow cover, vegetation growth, the soil microbial community, and soil properties should also be considered. Meanwhile, field studies should be conducted to improve our understanding of the response of soil temperature to climate change (<xref ref-type="bibr" rid="B46">Wang et al., 2020</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>For the first time, we revealed the spatiotemporal variations of soil temperature at depths of 5&#x2013;320&#xa0;cm during 00:00&#x2013;23:00 during 2004&#x2013;2020 and at three specific times (08:00, 14:00, and 20:00) during 1961&#x2013;2020, and the possible influencing factors in the low-latitude highlands of Yunnan Province, China. The main conclusion derived are as follows.<list list-type="simple">
<list-item>
<p>1) Synchronous with global change, hourly soil temperature shows an obvious warming trend, especially the deep soil temperature (40&#x2013;320&#xa0;cm) at annual, seasonal, and monthly scales. Hourly soil temperature at different depths showed significant uptrend at 00:00&#x2013;23:00 during 2004&#x2013;2020 at depths of 5&#x2013;320&#xa0;cm and at 08:00, 14:00, and 20:00 at depths of 5&#x2013;20&#xa0;cm during 1961&#x2013;2020 annually, seasonally, and monthly.</p>
</list-item>
<list-item>
<p>2) The hourly average soil temperature at 0&#x2013;20&#xa0;cm at 08:00, 14:00, and 20:00 showed a consistent trend of decrease with increase in elevation, but the trend of change was not synchronous. With increasing elevation, average soil temperature decreased at 08:00, 14:00, and 20:00 at depths of 5&#x2013;20&#xa0;cm during 1961&#x2013;2020. The trend of change with increasing elevation showed a significant uptrend at 08:00 and 14:00 at depths of 10&#x2013;20&#xa0;cm, which was especially significant at depth of 20&#xa0;cm at 08:00, 14:00, and 20:00 in all elevation zones (except 892&#x2013;1992&#xa0;m).</p>
</list-item>
<list-item>
<p>3) The critical accumulated soil temperature of &#x2265;12 and 14&#xb0;C at 5-cm depth showed an uptrend during 1961&#x2013;2020, and the start date was advanced, the end date was delayed, and the duration was extended. This might have heterogeneous impact on the crops and ecosystem function in Yunnan Province.</p>
</list-item>
<list-item>
<p>4) Elevation and latitude have significant negative correlation with soil temperature. At most stations, air temperature (AT, ATAMax, and ATAMin), surface temperature (AST0, AMaxST0, and AMinST0), and AWS have significant positive correlation with soil temperature.</p>
</list-item>
</list>
</p>
<p>Based on station data, this study revealed for the first time the hourly soil temperature changes in low-latitude highland areas, and the results could provide reference for analysis, comparison, and prediction of hourly soil temperature changes in other similar areas in the context of climate change.</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>QC and MZ: Conceptualization, methodology, writing&#x2013;original draft, supervision, funding acquisition. HJ and QC: Methodology, validation. HJ and YR: Data curation, formal analysis. QC and MZ: Writing&#x2013;review and editing.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was supported by the Yunnan Fundamental Research Projects (Grant No. 202201AU070064), Yunnan Innovative Research Team (Grant No. 202005AE160017), and Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA20100104).</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>
<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/fenvs.2022.1091985/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2022.1091985/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"/>
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