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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">1502208</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2024.1502208</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>Spatio-temporal variations of vegetation cover and its influencing factors in highland lake basin</article-title>
<alt-title alt-title-type="left-running-head">Liu 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.2024.1502208">10.3389/fenvs.2024.1502208</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhoujiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hu</surname>
<given-names>Wenxian</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1611229/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Liming</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Xiaoxia</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of International Rivers and Eco-Security</institution>, <institution>Yunnan University</institution>, <addr-line>Kunming</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Erhai Watershed Ecological Environment Quality Testing Engineering Research Center of Yunnan Provincial Universities</institution>, <institution>Erhai Research Institute</institution>, <institution>West Yunnan University of Applied Sciences</institution>, <addr-line>Dali</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Natural Resources Bureau of Suijiang County</institution>, <addr-line>Zhaotong</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>College of Water Conservancy</institution>, <institution>Yunnan Agricultural University</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/1272973/overview">Xulin Guo</ext-link>, University of Saskatchewan, Canada</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/1393711/overview">Muhammad Shahid</ext-link>, Brunel University London, United Kingdom</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1918816/overview">Xiaoyan Song</ext-link>, Northwest A and F University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Wenxian Hu, <email>yuiercofeb@163.com</email>; Xiaoxia Huang, <email>hxx_mxy@126.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1502208</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>11</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Liu, Hu, Ma and Huang.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Liu, Hu, Ma and Huang</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>Exploring dynamic vegetation changes and identifying the factors driving these changes are important for evaluating global ecosystem processes. Based on the pixel binary model, coefficient of variation, Theil-Sen median trend analysis, geographic detector, and Pearson correlation coefficient, this study analyzed vegetation cover variations and the factors influencing these changes in the Erhai Lake Basin, one of the most important plateau lakes in China. Vegetation cover exhibited a continuously increasing trend, with the proportion of high vegetation coverage consistently ranking first. Land cover is an effective explanatory factor for vegetation cover, and FVC shows obvious variation rules associated with elevation, land cover, population, and landform. It is important to highlight that the combination of two factors influences vegetation dynamics more significantly than one factor alone, with the interaction between land cover type and nightlight illumination being more powerful. These results enhance our understanding of the complex processes of vegetation cover variation in plateau lake catchments and offer a scientific reference for improving the spatial layout of vegetation in fragile ecosystems.</p>
</abstract>
<kwd-group>
<kwd>fractional vegetation cover</kwd>
<kwd>spatio-temporal variations</kwd>
<kwd>trend analysis</kwd>
<kwd>driving factors</kwd>
<kwd>erhai lake basin</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Informatics and Remote Sensing</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Vegetation is a crucial indicator of the health of the ecological environment. It helps connect different natural components, including the atmosphere, water, living organisms, and water (<xref ref-type="bibr" rid="B32">Meyer and Ii, 1992</xref>; <xref ref-type="bibr" rid="B43">Suzuki et al., 2007</xref>; <xref ref-type="bibr" rid="B9">Du et al., 2015</xref>; <xref ref-type="bibr" rid="B53">Zhao et al., 2018</xref>). Fractional vegetation coverage (FVC) indicates proportion of vertical area occupied by leaves, stems, and branches of plants on ground in relation to total area of a specific statistical region (<xref ref-type="bibr" rid="B18">Gitelson et al., 2002</xref>). It can characterize growth status and trend of a certain devegetation (<xref ref-type="bibr" rid="B1">Adams and Arkin, 1977</xref>). In the context of global climate change and an increase in extreme weather events, regional vegetation coverage has changed significantly (<xref ref-type="bibr" rid="B5">Bonan, 2008</xref>; <xref ref-type="bibr" rid="B12">Fang et al., 2018</xref>), which makes it urgent to research long-term shifts in vegetation to better understand spatio-temporal variations in regional ecological environment quality and maintain ecosystem balance (<xref ref-type="bibr" rid="B55">Zhong et al., 2019</xref>).</p>
<p>Remote sensing provides a valuable means for monitoring vegetation cover dynamics at different spatiotemporal scales with high precision and frequency (<xref ref-type="bibr" rid="B24">Jalonen et al., 2014</xref>; <xref ref-type="bibr" rid="B35">Piao et al., 2003</xref>). Many vegetation indices obtained by remote sensing inversion have become effective indicators for monitoring regional and even global vegetation activities, as well as their impacts on natural environment variety and human intervention (<xref ref-type="bibr" rid="B23">Huete et al., 2002</xref>; <xref ref-type="bibr" rid="B14">Frederic et al., 2019</xref>; <xref ref-type="bibr" rid="B2">Bageshree et al., 2022</xref>; <xref ref-type="bibr" rid="B17">Gao et al., 2022</xref>), Vegetation coverage is good at tracking the spatiotemporal variations of surface vegetation (<xref ref-type="bibr" rid="B52">Zhang et al., 2003</xref>). For example, <xref ref-type="bibr" rid="B15">Fu and Burgher (2015)</xref> discussed and analyzed the dynamic variations in vegetation coverage in the Namoi Basin and its relationship with meteorological factors and groundwater resources. <xref ref-type="bibr" rid="B33">Mu et al. (2012)</xref> calculated the vegetation coverage in Inner Mongolia and discovered that vegetation coverage was higher in the east and lower in the west. <xref ref-type="bibr" rid="B31">Meng et al. (2015)</xref> changes through meteorological factors and discovered that human activities have a significant impact on vegetation changes. MODIS NDVI has the characteristics of long-term continuity, high spatial resolution, and wide coverage, and many scholars have chosen MODIS datasets to study vegetation dynamic changes at global, regional, and watershed scales (<xref ref-type="bibr" rid="B48">Wylie et al., 2008</xref>; <xref ref-type="bibr" rid="B16">Fyllas et al., 2009</xref>; <xref ref-type="bibr" rid="B36">Psomas et al., 2011</xref>; <xref ref-type="bibr" rid="B40">Shao et al., 2016</xref>).</p>
<p>Owing to the large diversity of hydrothermal mechanisms and ecological environmental conditions, the causal relationship between vegetation activity and driving factors is complex and spatially heterogeneous (<xref ref-type="bibr" rid="B35">Piao et al., 2003</xref>; <xref ref-type="bibr" rid="B22">Holmgren et al., 2013</xref>; <xref ref-type="bibr" rid="B50">Zhang et al., 2018</xref>). In previous studies, most scholars employed correlation and residual analyses to explain the causes of vegetation variation. <xref ref-type="bibr" rid="B45">Wang et al. (2015)</xref> and <xref ref-type="bibr" rid="B11">Duo et al. (2017)</xref> explored the human factors affecting vegetation in the North China Plain and southern hilly areas of China through residual analysis. <xref ref-type="bibr" rid="B21">He et al. (2020)</xref> used nightlight data to characterize human factors and determined that human influences were the primary factor for the decrease in vegetation in and around cities in Zhejiang Province through a correlation coefficient analysis.</p>
<p>However, these traditional methods are unable to elucidate the nonlinear interdependence between multiple influencing factors, especially those that are intertwined with anthropogenic influences and climate fluctuations. In other words, a single driver cannot be quantitatively determined and has certain limitations. Based on this, <xref ref-type="bibr" rid="B46">Wang et al. (2016)</xref> proposed a geographic detector model, which is a statistical method for determining spatial differentiation through spatial variance analysis and revealing its driving factors. It can quantitatively identify the influence of factors and their interaction intensity. Many studies have effectively applied methods at different scales to cover a variety of influencing factors, resulting in a comprehensive understanding of the driving forces controlling changes in vegetation cover (<xref ref-type="bibr" rid="B10">Du et al., 2016</xref>; <xref ref-type="bibr" rid="B34">Pei et al., 2019</xref>; <xref ref-type="bibr" rid="B49">Yan et al., 2019</xref>).</p>
<p>Ecosystems in mountainous and plateau areas are fragile and irreversible (<xref ref-type="bibr" rid="B47">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B30">Liu et al., 2019</xref>) and are particularly sensitive to climate change (<xref ref-type="bibr" rid="B3">Beniston et al., 1997</xref>). As the largest plateau lake in the National Nature Reserve, the Erhai Lake Basin provides various ecosystem services. Due to great differences in topography, climate, and human disturbance, there are significant differences in surface vegetation coverage and ecological conditions in the Erhai Lake Basin. Based on the NDVI dataset and 15 driving factor datasets, this study employed multiple analytical techniques to identify the spatio-temporal change characteristics of FVC in the Erhai Lake Basin and quantify the drivers affecting vegetation in the region. These results are crucial for promoting ecological restoration and guiding the local environmental protection in this area.</p>
</sec>
<sec id="s2">
<title>2 Overview of the study area</title>
<p>The Erhai Lake Basin is a Lancang-Mekong River system that includes the Cangshan National Nature Reserve and a typical plateau lake. It is the core area for wetland ecological functions in northwest Yunnan Province (<xref ref-type="bibr" rid="B56">Zhong et al., 2018</xref>). The Erhai Lake Basin is characterized by a typical low-latitude plateau subtropical monsoon climate with distinct dry seasons. The average annual temperature is about 15.2&#xb0;C, and the average annual rainfall is about 1,048&#xa0;mm. The vegetation distribution in the basin is vertical zonal. Diversified plant communities provide an important guarantee for the stability of the ecosystem in this region. The rock and soil types in the Erhai Lake Basin are primarily metamorphic rocks and red soil (<xref ref-type="bibr" rid="B7">Chen et al., 2021</xref>). Erhai Lake Basin contains 18 townships: Dali Innovation Industrial Park Manjiang Office (MJ), Shuanglang Town (SL), Xizhou Town (XZ), Dali Innovation Industrial Park Patio Office (TJ), Dali Innovation Industrial Park Fengyi Town (FY), Yinqiao Town (YQ), Wanqiao Town (WQ), Shangguan Town (SG), Xiaguan Town (XG), Dali Town (DL), Haidong Town (HD), Wase Township (WS), Cibihu Township (CBH), Fengyu Township (FYU), Sanying Township (SY), Dengchuan Township (DC), Niujie Township (NJ) and Yousuo Township (YS). The specific locations are shown (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Research area.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g001.tif"/>
</fig>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>3 Materials and methods</title>
<sec id="s3-1">
<title>3.1 Data source and processing</title>
<p>The data sources and processing of the study are seen (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Data source and preprocessing.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Data set</th>
<th align="center">Data sources</th>
<th align="center">Spatial resolution</th>
<th align="center">Preprocessing</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">NDVI dataset</td>
<td align="center" style="color:#333333">National Data Center for Ecological Sciences (<ext-link ext-link-type="uri" xlink:href="http://www.nesdc.org.cn/">http://www.nesdc.org.cn/</ext-link>)</td>
<td align="center">30&#xa0;m</td>
<td align="center">Zoom out by 10,000 times</td>
</tr>
<tr>
<td align="center">Land cover data (X1)</td>
<td align="center">Data Centre for Resource and Environmental Sciences, Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="https:// www.resdc.cn/">https:// www.resdc.cn/</ext-link>)</td>
<td align="center">30&#xa0;m</td>
<td align="center">Reclassify, Resampling to 1&#xa0;km</td>
</tr>
<tr>
<td align="center">Potential evapotranspiration (X2)</td>
<td align="center">National Tibetan Plateau Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.tpdc.ac.cn/">https://data.tpdc.ac.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Average annual temperature (X3)</td>
<td align="center">National Tibetan Plateau Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.tpdc.ac.cn/">https://data.tpdc.ac.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Annual precipitation (X4)</td>
<td align="center">National Earth System Science Data Center (<ext-link ext-link-type="uri" xlink:href="https://www.geodata.cn/">https://www.geodata.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Population density (X5)</td>
<td align="center">Global population distribution raster data (<ext-link ext-link-type="uri" xlink:href="https://landscan.ornl.gov/">https://landscan.ornl.gov/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Annual minimum temperature (X6)</td>
<td align="center">National Tibetan Plateau Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.tpdc.ac.cn/">https://data.tpdc.ac.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Annual maximum temperature (X7)</td>
<td align="center">National Tibetan Plateau Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.tpdc.ac.cn/">https://data.tpdc.ac.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">PM2.5 (X8)</td>
<td align="center" style="color:#222222">Year by year nationwide PM2.5 raster data (<ext-link ext-link-type="uri" xlink:href="https://zenodo.org/record/6398971">https://zenodo.org/record/6398971</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">GDP (X9)</td>
<td align="center">National Earth System Science Data Center (<ext-link ext-link-type="uri" xlink:href="https://www.geodata.cn/">https://www.geodata.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Artificial night light (X10)</td>
<td align="center">National Tibetan Plateau Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.tpdc.ac.cn/">https://data.tpdc.ac.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="center">Kriging interpolation</td>
</tr>
<tr>
<td align="center">Soil (X11)</td>
<td align="center">Data Centre for Resource and Environmental Sciences, Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/">https://www.resdc.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
<tr>
<td align="center">DEM (X12)</td>
<td align="center">Geospatial data cloud (<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/">https://www.gscloud.cn/</ext-link>)</td>
<td align="center">30&#xa0;m</td>
<td align="center">Resampling to 1&#xa0;km</td>
</tr>
<tr>
<td align="center">Slope (X13)</td>
<td align="center">DEM</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">Aspect (X14)</td>
<td align="center">DEM</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">Geomorphological data (X15)</td>
<td align="center">National Earth System Science Data Center (<ext-link ext-link-type="uri" xlink:href="https://www.geodata.cn/">https://www.geodata.cn/</ext-link>)</td>
<td align="center">1&#xa0;km</td>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Research method</title>
<sec id="s3-2-1">
<title>3.2.1 Pixel binary model</title>
<p>The principle of this model is that a pixel consists of only vegetation cover and bare soil. It calculates the proportion of vegetation coverage based on NDVI. The method is widely and frequently used in detecting vegetation ecological changes (<xref ref-type="bibr" rid="B27">Li, 2003</xref>). The FVC was calculated using <xref ref-type="disp-formula" rid="e1">Formula 1</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mtext>FVC</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mtext>NDVI</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>NDVI</mml:mtext>
</mml:mrow>
<mml:mi>min</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mtext>NDVI</mml:mtext>
<mml:mi>max</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>NDVI</mml:mtext>
<mml:mi>min</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where NDVI<sub>max</sub> is the pure vegetation pixel NDVI value, and NDVI<sub>min</sub> is the pixel without vegetation cover. The NDVI values with 5% and 95% confidence intervals were substituted for NDVI<sub>min</sub> and NDVI<sub>max</sub>. The FVC standard deviation characterizes the locality of the difference in FVC. By analyzing the standard deviation of the FVC in 18 townships in the Erhai Lake Basin, the spatial heterogeneity of the FVC in each region was characterized for the period 2000&#x2013;2022.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Coefficient of variation</title>
<p>Coefficient of variation (C<sub>V</sub>) is the ratio of the standard deviation to the mean (<xref ref-type="bibr" rid="B8">Deng et al., 2017</xref>; <xref ref-type="bibr" rid="B6">Chaudhari and Thakkar, 2023</xref>). The variation coefficient is generally used to assess the degree of dispersion of long-term data. The variation coefficient of the average annual vegetation coverage obtained from to 2000&#x2013;2022 was calculated pixel-by-pixel to determine the degree of vegetation stability. It is a dimensionless quantity that does not require the mean of the reference data (<xref ref-type="bibr" rid="B20">He et al., 2023</xref>). Its calculation is shown in <xref ref-type="disp-formula" rid="e2">Formulas 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mtext>FVC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x0305;</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mtext>FV</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>FVC</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x0305;</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where FVC<sub>i</sub> and <inline-formula id="inf1">
<mml:math id="m4">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>FVC</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x0305;</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> are the FVC values of a pixel in year i and the mean FVC value during the study period, respectively.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Trend analysis</title>
<p>The Theil&#x2013;Sen Median is a resilient non-parametric method for calculating trends. It does not depend on a specific distribution and is unaffected by outliers, making it ideal for analyzing long-term trends in FVC (<xref ref-type="bibr" rid="B28">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B44">Tian et al., 2022</xref>; <xref ref-type="bibr" rid="B42">Sun et al., 2023</xref>). Its calculation is shown in <xref ref-type="disp-formula" rid="e4">Formula 4</xref>:<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>Median</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>FV</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>FV</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2200;</mml:mo>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>FVC<sub>i</sub> and FVC<sub>j</sub> represent the long-term datasets for years i and j, respectively. If &#x3b2; is positive, it suggests that there is an increase in FVC. Conversely, this indicates a decline.</p>
<p>The Mann-Kendall test is a distribution-free test that does not need to follow the normal distribution of measured values; the impact of outliers can be reduced to a minimum degree, making it suitable for long-term time-series data trend significance tests (<xref ref-type="bibr" rid="B26">Kendall, 1957</xref>; <xref ref-type="bibr" rid="B4">Bo-feng and Rong, 2009</xref>). The statistical test formula can be seen in <xref ref-type="disp-formula" rid="e5">Formula 5</xref>.<disp-formula id="e5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;sgn</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where, calculation of sgn can be shown in <xref ref-type="disp-formula" rid="e6">Formula 6</xref>.<disp-formula id="e6">
<mml:math id="m7">
<mml:mrow>
<mml:mtext>sgn</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="&#x7c;">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>FVC</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Trend test is carried out with the help of Z. Z is calculated as <xref ref-type="disp-formula" rid="e7">Formula 7</xref>:<disp-formula id="e7">
<mml:math id="m8">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="&#x7c;">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mtext>Var</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
<mml:mo>,</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mtext>Var</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
<mml:mo>,</mml:mo>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Calculation formula of Var value is shown in <xref ref-type="disp-formula" rid="e8">Formula 8</xref>:<disp-formula id="e8">
<mml:math id="m9">
<mml:mrow>
<mml:mtext>Var</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mn>18</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where n denotes the number of data points. The confidence level was 95%.</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Geographic detector</title>
<p>Geographical detection is a statistical technique used to reveal the driving factors behind the spatial stratification heterogeneity of objects. It is often used to identify key factors and interaction processes of spatial stratification heterogeneity. There are four main modules for geographical detection (<xref ref-type="bibr" rid="B41">Song et al., 2020</xref>; <xref ref-type="bibr" rid="B51">Zhang et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Jiang et al., 2022</xref>). In this study, factors and interaction detectors were selected to examine the driving influence of vegetation in the Erhai Lake Basin.</p>
<p>The factor detector is primarily used to identify the spatial variability of Y(FVC) and the degree of interpretation of different factors X (each detection factor) on Y. Its explanatory power is quantified by the q value. The q value was determined using <xref ref-type="disp-formula" rid="e9">Equations 9</xref>&#x2013;<xref ref-type="disp-formula" rid="e11">11</xref>:<disp-formula id="e9">
<mml:math id="m10">
<mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m11">
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m12">
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where h &#x3d; 1,2 &#x2026; L is the classification of X or Y, q represents the explanatory power of the driving factors of the FVC, N<sub>h</sub> refers to the number of units in layer h, and N indicates the total number of units in the entire region. &#x3c3;<sup>2</sup> and &#x3c3;<sub>h</sub>
<sup>2</sup> represent variance of FVC in class h and across region, W and T are sum of variances and total regional variances of class h respectively.</p>
<p>When running the geographic detector model, we need to discretize the driving factors. This study used the natural segmented point method to divide driving factors such as precipitation, temperature, altitude, GDP, and population density into 10 categories. According to the broad category criteria, soil types are divided into 16 categories, vegetation types into 10 categories, land-cover types into six categories, and geomorphic types into six categories (<xref ref-type="bibr" rid="B54">Zhao et al., 2015</xref>). The Erhai Lake Basin was divided into a grid of 1&#xa0;km &#xd7; 1&#xa0;km Data from 2,188 sample points in this region were selected for analysis. The q statistics of the 15 driving factors in 2000, 2005, 2010, 2015, and 2020 in the Erhai Lake Basin were calculated using geographic detectors.</p>
</sec>
<sec id="s3-2-5">
<title>3.2.5 Correlation analysis</title>
<p>Correlation coefficients (CC) were used to analyze the relationship between two or more variables (<xref ref-type="bibr" rid="B29">Liu et al., 2020</xref>). In this study, we examined the relationships among FVC, annual maximum temperature, and annual rainfall.<disp-formula id="e12">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mtext>xy</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">&#x00FD;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">&#x00FD;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
</mml:mrow>
<mml:mfenced open="" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mo>&#x00B4;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">&#x00FD;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>where R<sub>xy</sub> is the CC between two variables, x is the annual maximum temperature and annual rainfall, and y is the FVC, n is duration of time; <inline-formula id="inf2">
<mml:math id="m14">
<mml:mover>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mo>&#x00B4;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula> and <inline-formula id="inf3">
<mml:math id="m15">
<mml:mrow>
<mml:mi mathvariant="normal">&#x00FD;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> are the averages over the study period.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Results and analysis</title>
<sec id="s4-1">
<title>4.1 Spatio-temporal dynamic characteristics of FVC</title>
<p>From 2000 to 2022, the FVC in the Erhai Basin was low in the middle and south and high in the surrounding areas (<xref ref-type="fig" rid="F2">Figure 2</xref>). The high area accounts for 70.36% of the whole basin and is concentrated in the eastern and western parts of Erhai Lake, especially Cangshan Mountain in the western part of the Erhai Lake Basin. Overall, FVC presents a fluctuating upward trend, and the peak value appears in 2001, 2005, 2009, 2011, 2016, and 2020. The historical high point (78.71%) was reached in 2020, which shows the time changes of different levels of FVC in the Erhai Lake Basin from 2000 to 2022 (<xref ref-type="fig" rid="F3">Figure 3</xref>). The coverage area gradually increased from 59.20% to 73.12%, which was higher than the annual average (70.36%). Middle and high coverage decreased from 19.72% in 2000 to 9.96% in 2022, lower than the multi-year average (13.45%), while the latter decreased from 7.86% in 2000 to 3.60% in 2022, lower than the multi-year average (4.11%).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Temporal and spatial changes of vegetation coverage <bold>(A&#x2013;D)</bold> and the proportion of each type in each year.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Interannual variation of FVC in Erhai Lake basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g003.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Change trend of FVC</title>
<p>The results showed that FVC increased significantly, accounting for 34.8% (<xref ref-type="fig" rid="F4">Figure 4</xref>). A significant increase of 8.8%, a significant decrease of 2.7%, and a very significant decrease of 6.5% were observed; overall, the increased area was higher than the decreased area, with a difference of 34.4%. In addition, 47.2% of the regions exhibited no notable changes in FVC. Spatially, an extremely significant increase in FVC over the past 23 years was observed, mainly in the north. It is worth noting that SG, DC, and CBH significantly increased by more than 50%, and significantly decreased areas were mainly distributed in MJ and sites (YQ, DL, WQ, and XZ) in the western Erhai Lake Basin.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Results of FVC significance test in Erhai River basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g004.tif"/>
</fig>
<p>Among the different administrative regions, TJ and MJ had the lowest FVC, but TJ showed a change from low to high FVC (<xref ref-type="fig" rid="F5">Figure 5</xref>). MJ indicating a continuous decline. In addition to TJ and MJ, the average FVC in the other 16 towns was greater than 73.70%. The multiyear mean for WQ was 87.47%, followed by SL (86.29%), XZ (85.85%), YQ (85.74), FYU (85.48%), and FY (85.07%). The FVC standard deviation analysis results showed that in 2000&#x2013;2022, the minimum standard deviation of SL, followed by NJ, XZ, FY, WQ, SG, XG, DL, WS, CBH, FYU, SY, DC, and YS FVC, was relatively smooth; MJ, TJ, and HD varied greatly (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Ratio of different FVC significance in 18 townships of Erhai River Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The mean value and standard deviation of FVC in 18 towns in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g006.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Stability analysis of FVC</title>
<p>The C<sub>v</sub> values represent the extent of variability within a dataset. The stability distribution of vegetation coverage in the Erhai Lake Basin was obtained by calculating the variation coefficient of the vegetation coverage image pixel-by-pixel. The stability of FVC from 2000 to 2022 shows minimal and slight fluctuations in most regions as a whole (<xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F7">Figure 7</xref>). According to the classification results of C<sub>v</sub>, 59.74% of the regions with minimum and slight fluctuations were mainly distributed in the Cangshan region, with high forest cover and little influence of human activities. The largest floating area accounted for 17.35% and was mainly concentrated in the south of the Erhai Lake Basin. The main reason for this is that under the influence of regional development (development zone) and urban expansion (Xiaguan Town), the surface of this area has changed greatly, resulting in the maximum floating phenomenon of regional vegetation. The proportion of the moderately floating area was 16.57%, which was mainly concentrated in the north of the Erhai Lake Basin. Its area was intertwined with the highly floating area. Although the area is affected by urbanization, its impact is small.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Classification table of variation coefficient of FVC in Erhai Lake Basi<bold>n</bold>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Fluctuation level</th>
<th align="center">C<sub>V</sub>
</th>
<th align="center">Ratio (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Minimum</td>
<td align="center">&#x2264;0.05</td>
<td align="center">26.12</td>
</tr>
<tr>
<td align="center">Low</td>
<td align="center">(0.05, 0.10]</td>
<td align="center">33.62</td>
</tr>
<tr>
<td align="center">Moderate</td>
<td align="center">(0.10, 0.15]</td>
<td align="center">16.57</td>
</tr>
<tr>
<td align="center">High</td>
<td align="center">(0.15, 0.252]</td>
<td align="center">6.35</td>
</tr>
<tr>
<td align="center">Maximum</td>
<td align="center">&#x3e;0.252</td>
<td align="center">17.35</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Spatial distribution of stability degree of FVC in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g007.tif"/>
</fig>
</sec>
<sec id="s4-4">
<title>4.4 Quantitative the drivers of FVC</title>
<p>To examine how different geographical factors affect changes in the FVC in the Erhai Lake Basin, 15 relevant variables were detected using a geographical detector and 2,188 sampling points were investigated. Land cover (X1) and soil type (X11) had the highest explanatory powers, with average mean q-values of 0.196 and 0.138, respectively (<xref ref-type="fig" rid="F8">Figure 8</xref>). The lowest q values were for the slope direction (X14) and annual rainfall (X4), with values of 0.016 and 0.042, respectively. Based on the mean q value, driving factors in order from high to low is: land cover (0.196) &#x3e; soil type (0.138) &#x3e; GDP (0.131)&#x3e; population density (0.127) &#x3e; elevation (0.125) &#x3e; highest temperature (0.124) in &#x3e; PM2.5 (0.122) &#x3e; annual average temperature (0.119) &#x3e; artificial light (0.118)&#x3e; landform (0.117) &#x3e; potential evapotranspiration (0.114)&#x3e; annual minimum temperature (0.105) &#x3e; slope (0.067) &#x3e;annual rainfall (0.042) &#x3e;aspect of slope (0.016). Therefore, land cover and soil type were the main explanatory variables of the FVC in the Erhai Lake Basin and were identified as the main factors. The explanatory abilities of the land cover and soil type were relatively stable. At the same time, other geographical factors such as GDP, population density, elevation, annual maximum temperature and potential evapotranspiration are considered as secondary driving factors. Annual rainfall, slope direction, and slope had the lowest explanatory powers, and the mean q values were all less than 0.1, indicating that they had the least impact on vegetation cover in the Erhai Lake Basin (<xref ref-type="fig" rid="F8">Figure 8</xref>). In general, human activity factors, represented by land cover, had a primary influence on the spatial distribution of the FVC in the Erhai Lake Basin. The influence of land cover type on anthropogenic factors gradually increased over time, especially during 2015&#x2013;2020, when the q value increased from 0.194 in 2015 to 0.298 in 2020. The impact of social factors such as population growth and human activities will be more closely related to FVC changes and ecological environment evolution in the future.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Detect factor q value.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g008.tif"/>
</fig>
<p>Detecting the spatial variations in vegetation associated with different drivers provides insight into the changes in the explanatory power of individual drivers. The Geodetector tool effectively revealed the interactions between drivers that lead to changes in vegetation cover. The results showed that the influence of any two of the 15 driving factors on the FVC was more significant than the effect of each factor alone. Additionally, the effects of the two-factor and nonlinear enhancements are shown. Land cover type &#x2229; night light (q &#x3d; 0.385), land cover type &#x2229; GDP (q &#x3d; 0.372), land cover type &#x2229; soil type (q &#x3d; 0.365) and land cover type &#x2229; population density (q &#x3d; 0.363) are main factors influencing geographical distribution of vegetation cover in Erhai Lake Basin. Land cover type, as the most important driving factor, can better explain the geographical distribution of the FVC in the Erhai Lake Basin by interacting with other driving factors (<xref ref-type="fig" rid="F9">Figure 9</xref>). After the interaction between human factors, the explanatory power was significantly improved.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Interaction of FVC driving factors in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g009.tif"/>
</fig>
</sec>
<sec id="s4-5">
<title>4.5 Effects of natural factors on FVC in Erhai Lake basin</title>
<sec id="s4-5-1">
<title>4.5.1 Geomorphic factor</title>
<p>The mean and standard deviation of the vegetation coverage of each geomorphic type showed that the average vegetation coverage of the large rolling mountains was 0.934 and reached its highest value (0.950) in 2020. The average vegetation coverage of the middle elevation plain was 0.630 and reached its lowest value (0.591) in 2012 (<xref ref-type="fig" rid="F10">Figure 10</xref>). In addition, the large undulating mountains had the lowest standard deviation and the most stable change, followed by the large undulating mountains, medium undulating mountains, small undulating mountains, medium-altitude hills, and medium-altitude plains, among which the latter had the greatest change.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Relationship between mean and standard deviation of vegetation coverage and geomorphic types in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g010.tif"/>
</fig>
</sec>
<sec id="s4-5-2">
<title>4.5.2 Topographic factor</title>
<p>The change trend of the average vegetation coverage and its 50&#xa0;m interval in the elevation area were analyzed and calculated (<xref ref-type="fig" rid="F11">Figure 11</xref>). The results show that the FVC in the Erhai Lake Basin exhibited a wavy evolutionary trend. In the initial stage, from 1,550 to 2,150&#xa0;m, the trend showed a large fluctuation and then increased with increasing altitude. The average FVC peak at 3,000&#xa0;m (0.898). Above this height, the trend experienced a slight slowdown and gradually stabilized regionally. In addition, at 1,650&#xa0;m and 2000&#xa0;m, the standard deviation of the average FVC was the largest at 0.264 and 0.347, respectively, with a large range of changes.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Relationship between mean and standard deviation of vegetation coverage and altitude in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g011.tif"/>
</fig>
</sec>
<sec id="s4-5-3">
<title>4.5.3 Climatic factor</title>
<p>Through the creation of 2,833 sampling points in the entire Erhai Lake Basin, the mean FVC, annual maximum temperature, and annual precipitation during 2000&#x2013;2022 were extracted for Pearson bivariate correlation analysis (<xref ref-type="fig" rid="F12">Figure 12</xref>), which showed that in the past 23&#xa0;years, FVC in the Erhai Lake Basin had a significant negative correlation with the annual maximum temperature, with CC ranging from &#x2212;0.283 to &#x2212;0.380, and CC reaching its highest value in 2020, while the correlation coefficient had a significant positive relationship with annual precipitation, with values ranging from 0.239 to 0.423, and CC reaching a higher value in 2013.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Relationship between FVC and annual maximum temperature and annual precipitation in Erhai Lake Basin (p &#x3c; 0.01).</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g012.tif"/>
</fig>
</sec>
</sec>
<sec id="s4-6">
<title>4.6 Effects of human activities</title>
<p>From 2000 to 2020, the proportion of construction land area increased from 3.29% to 5.93% (<xref ref-type="fig" rid="F13">Figure 13</xref>). This may make the FVC of the construction land increase area fluctuate greatly, and may even be the main reason for the degradation of this area. The area of cropland has decreased significantly. Forests and grassland accounted for the highest proportion of all land cover in each year. The sum of the two accounted for more than half of the total area in 5&#xa0;years, which further explained the high vegetation coverage in Erhai Lake Basin.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Land cover type changes in Erhai Lake Basin from 2000 to 2020.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g013.tif"/>
</fig>
<p>Population density of the Erhai Lake Basin was classified according to global population levels. It is an extremely rare area (&#x3c;1&#xa0;people/km<sup>2</sup>), rare area (1&#x2013;25&#xa0;people/km<sup>2</sup>), medium zone (25&#x2013;100&#xa0;people/km<sup>2</sup>), and dense area (&#x3e;100&#xa0;people/km <sup>2</sup>). As shown in <xref ref-type="fig" rid="F14">Figure 14</xref>, the sparse population density area had the highest mean FVC (0.841) and lowest standard deviation (0.166), followed by the very sparse population density area (0.836), and the medium population area (0.782). It is worth noting that the sparse population density area had the lowest mean FVC (0.689) but the highest standard deviation (0.268).</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Relationship between mean and standard deviation of vegetation coverage and population density in Erhai Lake Basin.</p>
</caption>
<graphic xlink:href="fenvs-12-1502208-g014.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<sec id="s5-1">
<title>5.1 Spatio-temporal variations of FVC</title>
<p>Vegetation plays an important role in carbon sequestration, energy exchange and biodiversity support, and vegetation coverage has become an important index to evaluate ecological quality. Understanding the dynamic changes of vegetation on the scale of plateau watershed is of great significance for resource managers to manage ecological environment systems. In this study, the spatiotemporal characteristics of the FVC in the Erhai Lake Basin, a typical plateau basin in Yunnan Province, and a quantitative analysis of the factors in the last 23 years were investigated. The topography of the Erhai Lake Basin is complex, and meteorology, topography, and human factors have a significant influence on FVC in the region. From the perspective of spatiotemporal variations, from 2000 to 2022, FVC in the Erhai Lake Basin exhibited an upward trend, with a notable increase covered by medium vegetation. Vegetation degradation in the western and southeastern parts of the Erhai Lake Basin was evident. In 2020, the FVC of Erhai Lake Basin reached the highest value (78.71%), and the high coverage area was mainly distributed in Cangshan Mountain in the west of Erhai Basin, and the vegetation change in this area was very small, which was not only related to the regional climate of Cangshan Mountain, but also closely related to the long-term support of the government for Cangshan Nature Reserve. The FVC mainly increased significantly (34.8%), and mainly distributed in SG and DC. On the whole, the FVC of Erhai Lake Basin maintained a good trend and showed an increasing trend.</p>
</sec>
<sec id="s5-2">
<title>5.2 Analysis of driving factors of FVC</title>
<p>The factors influencing the FVC are cross-complex, and the geographical detector model is helpful for analyzing the specific driving mechanism in detail. From 2000 to 2022, land-cover type was the dominant factor, and the explanatory power of land-cover type was high. Land cover type was the main factor influencing the spatial variation in vegetation cover in the Erhai Lake Basin, but the q value of each driving factor underwent significant changes over time. The q values for the 15 driving factors selected showed an increasing trend, particularly the influence of land cover type, annual minimum temperature, potential evapotranspiration, and night lights on the spatial differentiation of FVC showed an increasing trend. According to the results of the interactive detection and analysis, it is evident that the FVC of the Erhai Lake Basin is greatly affected by human activities, and the interaction between land cover type and night light or GDP factors has the strongest effect, with a q value of more than 0.372.</p>
<p>In the context of global warming, the dynamic change of vegetation has spatial heterogeneity (<xref ref-type="bibr" rid="B39">Shahid et al., 2018</xref>), and is closely related to climate factors. The analysis results of geographic detectors showed that the annual maximum temperature and annual rainfall had a large q value. Therefore, the correlation between FVC and annual maximum temperature and annual rainfall in each year from 2000 to 2022 was evaluated by means of pearson correlation analysis, and the impact of these two climate factors on FVC was evaluated. The results showed that FVC was negatively correlated with annual maximum temperature and positively correlated with annual rainfall, and both showed significant correlation (<italic>p</italic> &#x3c; 0.01). By averaging the correlation coefficients over 23 years, the effect of annual rainfall (0.35) is greater than that of annual maximum temperature (&#x2212;0.32). Because of the low latitude of Erhai Lake Basin, high temperature may promote the evaporation of soil water and the closure of plant stomata, thus affecting the photosynthesis of vegetation (<xref ref-type="bibr" rid="B19">Gu et al., 2018</xref>). Regions with high FVC were mainly concentrated on the large rolling mountains with an altitude of 2,700&#x2013;3,200&#xa0;m, while the areas above 3,800&#xa0;m may have a decrease in FVC caused by a large amount of snow. At high altitudes, higher-temperature environments are suitable for plant growth. However, the positive benefits of rising temperatures on vegetation growth may be offset by the susceptibility of vegetation to the limiting effect of water availability (<xref ref-type="bibr" rid="B30">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="B37">Qiao et al., 2021</xref>). In this study, the annual maximum temperature was negatively correlated with FVC, which also proved this point. The area of forest and grassland were in the forefront, which also explained the reason for the highest proportion of high FVC in the Erhai Lake Basin. In addition, the FVC of MJ showed a relatively obvious trend of extremely significant reduction, with a large standard deviation. MJ is a part of the National Dali Economic and Technological Development Zone. Some cropland was transferred to construction land in MJ. The fluctuation was obvious, which may be related to the economic development of this region. In general, the FVC of Erhai Lake Basin is a complicated process influenced by the interaction of human and natural factors.</p>
</sec>
<sec id="s5-3">
<title>5.3 Limitations</title>
<p>The changing nature of vegetation is a complex process influenced by various factors. The study of the coupling effect of natural and human factors is helpful to further deepen our understanding of the dynamic forces of the FVC in plateau lake watersheds, but the study still has some limitations. The potential driving factors considered in this study were not comprehensive. The implementation of the farmland conversion project, the delayed effect of climate change on vegetation growth, and more meteorological, socioeconomic, and policy factors need to be determined to reduce the uncertainty of the research on vegetation changes (<xref ref-type="bibr" rid="B13">Feng et al., 2020</xref>; <xref ref-type="bibr" rid="B57">Zhang et al., 2021</xref>). In addition, in this study, a pixel binary model was utilized to assess the FVC in the Earhai Lake Basin using remote sensing. However, in some arid areas, such as Haidong Town, the pixel binary model may not solve the uncertainty caused by it, and the pixel third model can compensate for it well. Future studies combining the two models may yield better results (<xref ref-type="bibr" rid="B60">Ning et al., 2023</xref>). Thus, vegetation cover trends can be analyzed more accurately.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>Erhai Lake, the largest plateau lake in the National Nature Reserve, has important ecological functions. This research examined the spatiotemporal dynamic features and driving mechanisms of FVC in this area during 2000&#x2013;2022 by using NDVI datasets and 15 driving factor data sources. The results show that:<list list-type="simple">
<list-item>
<p>(1) The FVC of the Erhai Lake Basin was low in the middle and south but high around the basin. Regions with high FVC were primarily concentrated in the Cangshan region west of the Erhai Lake Basin. The changes in XG, TJ, MJ, and HD in the south of the Erhai Lake Basin fluctuated greatly, and the FVC in the northern Erhai Lake Basin was more evident.</p>
</list-item>
<list-item>
<p>(2) The q values for land cover and soil type were the highest. Various factors showed significant interactions, and the q value indicated that the interaction exceeded the interaction related to individual factors. The interaction between land cover and night light had a stronger impact.</p>
</list-item>
<list-item>
<p>(3) There was a correlation between each factor and vegetation cover. The trends and average vegetation cover changes were related to elevation, land cover, population, and terrain. The correlation coefficients between the annual maximum temperature and FVC indicated a negative relationship, which significantly impacted ecosystem dynamics.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>ZL: Conceptualization, Methodology, Supervision, Validation, Writing&#x2013;original draft, Writing&#x2013;review and editing. WH: Supervision, Validation, Writing&#x2013;original draft, Writing&#x2013;review and editing. LM: Writing&#x2013;original draft, Writing&#x2013;review and editing. XH: Funding acquisition, Validation, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This research was funded by the Yunnan Agricultural Joint Fund Key Project (202301BD070001-133) and National Natural Science Foundation of China (32060304).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<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="s11">
<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>
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