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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">782287</article-id>
<article-id pub-id-type="doi">10.3389/feart.2021.782287</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Quantitative Assessment of the Contributions of Climate Change and Human Activities to Vegetation Variation in the Qinling Mountains</article-title>
<alt-title alt-title-type="left-running-head">Cheng et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Vegetation Variation in Qinling Mountains</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Cheng</surname>
<given-names>Dandong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1485486/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Qi</surname>
<given-names>Guizeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1497553/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Song</surname>
<given-names>Jinxi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1412352/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yixuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bai</surname>
<given-names>Hongying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Xiangyu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Shaanxi Key Laboratory of Earth Surface System and Environmental Carrying Capacity, College of Urban and Environmental Sciences, Northwest University, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Institute of Qinling Mountains, Northwest University, <addr-line>Xi&#x2019;an</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/1247111/overview">Guangzhi Sun</ext-link>, Northeast Institute of Geography and Agroecology (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/846864/overview">Weili Duan</ext-link>, Xinjiang Institute of Ecology and Geography (CAS), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1547597/overview">Pengfei Li</ext-link>, Xi&#x2019;an University of Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1547607/overview">Changfeng Sun</ext-link>, Institute of Earth Environment (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Guizeng Qi, <email>guizeng_qi@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Hydrosphere, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>782287</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Cheng, Qi, Song, Zhang, Bai and Gao.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Cheng, Qi, Song, Zhang, Bai and Gao</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Quantitative assessment of the contributions of climate change and human activities to vegetation change is important for ecosystem planning and management. To reveal spatial differences in the driving mechanisms of vegetation change in the Qinling Mountains, the changing patterns of the normalized difference vegetation index (NDVI) in the Qinling Mountains during 2000&#x2013;2019 were investigated through trend analysis and multiple regression residuals analysis. The relative contributions of climate change and human activities on vegetation NDVI change were also quantified. The NDVI shows a significant increasing trend (0.23/10a) from 2000 to 2019 in the Qinling Mountains. The percentage of areas with increasing and decreasing trends in NDVI is 87.96% and 12.04% of the study area, respectively. The vegetation change in the Qinling Mountains is caused by a combination of climate change and human activities. The Tongguan Shiquan line is a clear dividing line in the spatial distribution of drivers of vegetation change. Regarding the vegetation improvement, the contribution of climate change and human activities to NDVI increase is 51.75% and 48.25%, respectively. In the degraded vegetation area, the contributions of climate change and human activities to the decrease in NDVI were 22.11% and 77.89%, respectively. Thus, vegetation degradation is mainly caused by human activities. The implementation of policies, such as returning farmland to forest and grass, has an important role in vegetation protection. It is suggested that further attention should be paid to the role of human activities in vegetation degradation when formulating corresponding vegetation protection measures and policies.</p>
</abstract>
<kwd-group>
<kwd>normalized difference vegetation index (NDVI)</kwd>
<kwd>quantitative analysis</kwd>
<kwd>climate change</kwd>
<kwd>human activities</kwd>
<kwd>the Qinling Mountains</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The continuous intensification of global climate change and human activities has been impacting the stability of the global terrestrial ecosystem (<xref ref-type="bibr" rid="B9">Duan et&#x20;al., 2020</xref>). As the main component of the terrestrial ecosystem, vegetation plays an irreplaceable role in the mutual adjustment of atmosphere&#x2013;soil&#x2013;water, global carbon balance adjustment, and the maintenance of global climate stability (<xref ref-type="bibr" rid="B4">Cheng et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B45">Zhang et&#x20;al., 2021</xref>). Vegetation is one of the most sensitive indicators in response to global change (<xref ref-type="bibr" rid="B19">Landuyt et&#x20;al., 2019</xref>), and exploring vegetation change trends and driving mechanisms has become a focus of global change research, which is of great significance to assess the carbon sequestration capacity of vegetation and the evolution mechanism of terrestrial ecosystems.</p>
<p>Previous studies have pointed out that climate change is one of the main driving forces of vegetation variation (<xref ref-type="bibr" rid="B28">Piao et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B11">Ge et&#x20;al., 2021</xref>). With temperature closely associated with the beginning and end of vegetation photosynthesis (<xref ref-type="bibr" rid="B2">Braswell et&#x20;al., 1997</xref>), the continuous increase in temperature prolongs the vegetation growing periods (<xref ref-type="bibr" rid="B17">Ji et&#x20;al., 2020</xref>), which in return promotes vegetation growth, especially in high-latitude areas and mountain areas (<xref ref-type="bibr" rid="B26">Nemani et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B42">Xu et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B25">Myers-Smith et&#x20;al., 2020</xref>). However, the temperature increase aggravates the occurrence of drought, inhibiting vegetation growth in middle-to-low latitude regions, and arid and semi-arid regions (<xref ref-type="bibr" rid="B16">Ichii et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B44">Zeng et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B14">Huang et&#x20;al., 2021</xref>). Precipitation is another important factor affecting vegetation variation (<xref ref-type="bibr" rid="B28">Piao et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B33">Shi et&#x20;al., 2021</xref>). In arid and semi-arid regions, insufficient precipitation is the main factor that restricts vegetation growth (<xref ref-type="bibr" rid="B37">Vicente-Serrano et&#x20;al., 2013</xref>). However, in humid areas, the increase in precipitation lowers the temperature and radiation, thereby, inhibiting vegetation growth (<xref ref-type="bibr" rid="B26">Nemani et&#x20;al., 2003</xref>). Besides climate change, the impact of human activities on vegetation growth cannot be ignored. Human activities, such as urban expansion, agricultural production, and returning farmland to forests and grasses, are important factors affecting the spatial pattern of vegetation and its growth (<xref ref-type="bibr" rid="B43">Yan et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B13">Huang et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B31">Qin et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B33">Shi et&#x20;al., 2021</xref>). Meanwhile, since the industrial revolution, the rapid increase in CO<sub>2</sub> and other greenhouse gas emissions caused by human activities has promoted the photosynthesis of vegetation (<xref ref-type="bibr" rid="B20">Leakey et&#x20;al., 2009</xref>), resulting in the fertilization effect of CO<sub>2</sub>, promoting the growth of global vegetation (<xref ref-type="bibr" rid="B47">Zhu et&#x20;al., 2016</xref>). Both climate change and human activities impact vegetation variation, which may intensify the spatial difference of vegetation change. Therefore, quantifying the impact of driving factors on vegetation change is essential to ecosystem management and vegetation response to global changes.</p>
<p>In the past, the study of spatial vegetation changes often involves remote sensing data (<xref ref-type="bibr" rid="B8">Duan et&#x20;al., 2021</xref>). Among them, the Normalized Difference Vegetation Index (NDVI), a commonly used vegetation index, is closely related to vegetation primary productivity and leaf area index and is also a good indicator of vegetation cover and growth status (<xref ref-type="bibr" rid="B16">Ichii et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B24">Mao et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B18">Kai et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B33">Shi et&#x20;al., 2021</xref>). The quantitative assessment method of the impact of climate change and human activities on vegetation variation mainly involves mathematical statistical methods, including correlation analysis, principal component analysis, and least-squares method (<xref ref-type="bibr" rid="B41">Wold et&#x20;al., 1987</xref>; <xref ref-type="bibr" rid="B31">Qin et&#x20;al., 2021</xref>). However, uncertainties exist in the processes and factors of the impact on vegetation change (<xref ref-type="bibr" rid="B3">Cai et&#x20;al., 2016</xref>). A single-scale analysis of influencing factors may obscure the actual impact of driving factors, whereas the multiple regression residuals analysis method is able to overcome the drawbacks of the single-scale analysis, with a good application in the quantitative evaluation of multiple driving factors (<xref ref-type="bibr" rid="B27">Ovakoglou et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B34">Song et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B18">Kai et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B31">Qin et&#x20;al., 2021</xref>).</p>
<p>The Qinling Mountains, located at the boundary between the temperate monsoon climate and the subtropical monsoon climate, is an important north&#x2013;south geographic boundary in China, which has particular significance for the local natural geographic environment due to the obvious differences in climate and vegetation zones between the north and south of the Qinling Mountains (<xref ref-type="bibr" rid="B30">Qi et&#x20;al., 2021</xref>). Previous studies revealed qualitatively the vegetation cover changes in the Qinling Mountains due to climate change and human activities (Wang and Bai, 2017; <xref ref-type="bibr" rid="B6">Deng et&#x20;al., 2018b</xref>; <xref ref-type="bibr" rid="B23">Liu et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B21">Li et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B18">Kai et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B31">Qin et&#x20;al., 2021</xref>). However, spatial differences in the effects of climate change and human activities in the Qinling Mountains have not been clearly revealed, so it is necessary to analyze the drivers of vegetation change in the Qinling Mountains in detail in the spatial differences analysis, which is essential for understanding the spatial variability of vegetation ecosystem change and its response mechanism research (<xref ref-type="bibr" rid="B6">Deng et&#x20;al., 2018b</xref>).</p>
<p>Based on MODIS NDVI remote sensing data from 2000 to 2019 in the Qinling Mountains and data from 32 meteorological stations, this paper employs trend analysis and multiple regression residual analysis to evaluate the driving mechanism of vegetation changes in the Qinling Mountains and quantitatively evaluate the driving factors. The study provides a scientific basis for the construction of ecological civilization in the Qinling Mountains and the response of the ecosystem to climate fluctuations.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The Qinling Mountains is a huge east&#x2013;west mountain range in central China, between 32&#xb0;40&#x2032;N&#x223c;34&#xb0;35&#x2032;N and 105&#xb0;30&#x2032;E&#x223c;111&#xb0;3&#x2032;E, with an elevation of 195&#x2013;3,767.2&#xb0;m and a total area of 61,900&#xa0;km<sup>2</sup> (<xref ref-type="bibr" rid="B30">Qi et&#x20;al., 2021</xref>). There are significant climatic differences between the northern and southern slopes of the Qinling Mountains (NSQM and SSQM) (<xref ref-type="bibr" rid="B30">Qi et&#x20;al., 2021</xref>), the NSQM under a warm temperate semihumid climate, while the SSQM a humid northern subtropical climate. The Qinling Mountains is also the geographical boundary between the north and south of China and a sensitive area for climate change, which is generally consistent with the 0&#xb0;C isotherm in January, the 800-mm annual equivalent precipitation line, and the 2,000-h sunshine hour line (<xref ref-type="bibr" rid="B1">Bai et&#x20;al., 2012</xref>). The Qinling Mountains is the dividing line between five key elements: geography, climate, biology, water system, and soil (<xref ref-type="bibr" rid="B5">Deng et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B7">Deng et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B12">Hu et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B38">Wang et&#x20;al., 2020</xref>).</p>
</sec>
<sec id="s2-2">
<title>2.2 Data Sources</title>
<p>The meteorological data are the monthly average temperature and monthly precipitation of 32 meteorological stations in the Qinling Mountains during 2000&#x2013;2019, provided by the National Earth System Science Data Sharing Infrastructure (<ext-link ext-link-type="uri" xlink:href="http://www.geodata.cn">www.geodata.cn</ext-link>) and the Shaanxi Meteorological Bureau. The spatial distribution of meteorological stations is shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>. This paper uses the ANUSPLIN method to interpolate the temperature and precipitation (<xref ref-type="bibr" rid="B15">Hutchinson and Xu, 2013</xref>). Compared with other spatial interpolation methods, the ANUSPLIN method induces less error in interpolation accuracy in a complex mountain environment (<xref ref-type="bibr" rid="B42">Xu et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B29">Qi et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Qi et&#x20;al., 2021</xref>). The DEM (spatial resolution: 250&#xa0;m) is obtained via the National Geomatics Centre of China.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Geographical environment and distribution of meteorological stations in the southern and northern slopes of the Qinling Mountains.</p>
</caption>
<graphic xlink:href="feart-09-782287-g001.tif"/>
</fig>
<p>This paper uses the NDVI index of the growing season to measure the vegetation status. According to the climate and vegetation growth in the Qinling Mountains, the vegetation-growing season is from March to October (<xref ref-type="bibr" rid="B7">Deng et&#x20;al., 2019</xref>). NDVI data were obtained from the MOD13Q1 dataset of NASA (<ext-link ext-link-type="uri" xlink:href="https://ladsweb.modaps.eosdis.nasa.gov/search/order/1/MOD13Q1--6">https://ladsweb.modaps.eosdis.nasa.gov/search/order/1/MOD13Q1--6</ext-link>), with a spatial resolution of 250&#xa0;m &#xd7; 250&#xa0;m, and a time resolution of 16&#xa0;days.</p>
<p>The MODIS Reprojection Tool (MRT) is used for image splicing, projection, and format conversion, and maximum value composite (MVC) is used to eliminate the influence of cloud, atmosphere, and Sun altitude to synthesize monthly NDVI data, which can effectively reflect the vegetation coverage of the&#x20;area.</p>
</sec>
<sec id="s2-3">
<title>Method</title>
<sec id="s2-3-1">
<title>2.3.1 Change Trend Analysis</title>
<p>The trends in this study were calculated using linear least-squares regression. The calculation formula is as follows:<disp-formula id="e1">
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</mml:math>
</inline-formula> indicates otherwise.</p>
<p>Partial correlation analysis is a geostatistical method based on correlation analysis (<xref ref-type="bibr" rid="B36">Sun et&#x20;al., 2020</xref>). When two variables are related to the third variable, the influence of one of the variables will be excluded, with only the degree of correlation between the other two variables considered, which has proven effective in eliminating other influencing factors:<disp-formula id="e2">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the partial correlation coefficient between variable <inline-formula id="inf9">
<mml:math id="m11">
<mml:mi>x</mml:mi>
</mml:math>
</inline-formula> and variable <inline-formula id="inf10">
<mml:math id="m12">
<mml:mi>y</mml:mi>
</mml:math>
</inline-formula> after excluding variable <inline-formula id="inf11">
<mml:math id="m13">
<mml:mi>z</mml:mi>
</mml:math>
</inline-formula>, <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the partial correlation coefficient between variable <inline-formula id="inf13">
<mml:math id="m15">
<mml:mi>x</mml:mi>
</mml:math>
</inline-formula> and variable <inline-formula id="inf14">
<mml:math id="m16">
<mml:mi>y</mml:mi>
</mml:math>
</inline-formula>, and <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent the same meaning as&#x20;<inline-formula id="inf17">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The change trend and the partial correlation significance test are all determined by the <italic>t</italic>-test, and the results are divided into four levels: extremely significant <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.01</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, significant <inline-formula id="inf19">
<mml:math id="m21">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>0.01</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, weakly significant <inline-formula id="inf20">
<mml:math id="m22">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>0.05</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>0.1</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and insignificant <inline-formula id="inf21">
<mml:math id="m23">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.1</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Multiple Regression Residual Analysis</title>
<p>Multiple regression residual analysis is employed to study the impact of climate change and human activities on vegetation NDVI changes and their relative contributions. The details of the method are as follows (<xref ref-type="bibr" rid="B10">Evans and Geerken 2004</xref>; <xref ref-type="bibr" rid="B40">Wessels et&#x20;al., 2007</xref>):<list list-type="simple">
<list-item>
<p>&#x2460; The binary regression model was constructed based on the growing season NDVI and the spatial temperature and precipitation time series datasets, in which temperature and precipitation were independent variables, and NDVI in the growing season was the dependent variable.</p>
</list-item>
<list-item>
<p>&#x2461; According to the constructed model of step &#x2460;, the predicted NDVI is obtained (<inline-formula id="inf22">
<mml:math id="m24">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, which represents the impact of climate change on vegetation change).</p>
</list-item>
<list-item>
<p>&#x2462; According to the difference between the remotely sensed NDVI observation value <inline-formula id="inf23">
<mml:math id="m25">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and the predicted value of NDVI <inline-formula id="inf24">
<mml:math id="m26">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> in the growing season of the Qinling Mountains, the NDVI residual <inline-formula id="inf25">
<mml:math id="m27">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is calculated, which represents the influence of human activities on vegetation change.</p>
</list-item>
</list>
</p>
<p>The calculation formula is as follows:<disp-formula id="e3">
<mml:math id="m28">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>Pr</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m29">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf26">
<mml:math id="m30">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf27">
<mml:math id="m31">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> refer to the predicted value of NDVI based on the regression model, and the observed value of NDVI based on remote sensing image (dimensionless), respectively; <inline-formula id="inf28">
<mml:math id="m32">
<mml:mi>a</mml:mi>
</mml:math>
</inline-formula>, <inline-formula id="inf29">
<mml:math id="m33">
<mml:mi>b</mml:mi>
</mml:math>
</inline-formula> and <inline-formula id="inf30">
<mml:math id="m34">
<mml:mi>c</mml:mi>
</mml:math>
</inline-formula> are model parameters; and <inline-formula id="inf31">
<mml:math id="m35">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (&#xb0;C) and <inline-formula id="inf32">
<mml:math id="m36">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (mm) refer to the growing season average temperature and cumulative precipitation, respectively.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Determination of Driving Factors for Vegetation normalized difference vegetation index change</title>
<p>The slopes of <inline-formula id="inf33">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>NDVI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf34">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>NDVI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>CC</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf35">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>NDVI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>HA</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> during the growing season were calculated. The positive slopes represent, respectively, the increase in NDVI, the promotion of NDVI by climate change, and by human activities, while the negative slopes represent, respectively, the decline of NDVI, the inhibition of NDVI increase by climate change, and by human activities.</p>
<p>According to the impact of climate change and human activities on vegetation, <inline-formula id="inf36">
<mml:math id="m40">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf37">
<mml:math id="m41">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf38">
<mml:math id="m42">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> are classified into seven levels to better determine the impact of the driving factors (<xref ref-type="table" rid="T1">Table&#x20;1</xref>) (<xref ref-type="bibr" rid="B18">Kai et&#x20;al., 2020</xref>). Meanwhile, the relative contribution rates of the driving factors to vegetation changes are calculated according to the contribution of different driving factors and the trend of vegetation change (<xref ref-type="table" rid="T2">Table&#x20;2</xref>) (<xref ref-type="bibr" rid="B36">Sun et&#x20;al., 2020</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Classification of the impacts of climate change and human activities on vegetation restoration (10<sup>&#x2013;3</sup> a<sup>&#x2212;1</sup>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<inline-formula id="inf39">
<mml:math id="m43">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>a</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Influence level</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">&#x3c;&#x2212;2.0</td>
<td align="left">Severe inhibition</td>
</tr>
<tr>
<td align="left">&#x2212;2.0&#x223c;&#x2212;1.0</td>
<td align="left">Moderate inhibition</td>
</tr>
<tr>
<td align="left">&#x2212;1.0&#x223c;&#x2212;0.2</td>
<td align="left">Mild inhibition</td>
</tr>
<tr>
<td align="left">&#x2212;0.2&#x2013;0.2</td>
<td align="left">No effect</td>
</tr>
<tr>
<td align="left">0.2&#x223c;&#x2212;1.0</td>
<td align="left">Mild promotion</td>
</tr>
<tr>
<td align="left">1.0&#x2013;2.0</td>
<td align="left">Moderate promotion</td>
</tr>
<tr>
<td align="left">&#x3e;2.0</td>
<td align="left">Severe promotion</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Identification criterion and contribution calculation of the drivers of NDVI change.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<inline-formula id="inf40">
<mml:math id="m44">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
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<mml:mrow>
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</mml:mrow>
</mml:mrow>
<mml:mi>a</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Driving factors</th>
<th align="center">
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<mml:mi>b</mml:mi>
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</mml:mrow>
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</inline-formula>
</th>
<th align="center">
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<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
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</mml:mrow>
<mml:mi>c</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Contribution proportion of CC (%)</th>
<th align="center">Contribution proportion of CC (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">&#x3e;0</td>
<td align="left">CC and HA</td>
<td align="char" char=".">&#x3e;0</td>
<td align="char" char=".">&#x3e;0</td>
<td align="center">
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</mml:mfrac>
</mml:mrow>
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</inline-formula>
</td>
<td align="center">
<inline-formula id="inf44">
<mml:math id="m48">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>s</mml:mi>
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<mml:mi>p</mml:mi>
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<mml:mi>s</mml:mi>
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<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
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</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">CC</td>
<td align="char" char=".">&#x3e;0</td>
<td align="char" char=".">&#x3c;0</td>
<td align="char" char=".">100</td>
<td align="char" char=".">0</td>
</tr>
<tr>
<td align="left">HA</td>
<td align="char" char=".">&#x3c;0</td>
<td align="char" char=".">&#x3e;0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">100</td>
</tr>
<tr>
<td rowspan="3" align="left">&#x3c;0</td>
<td align="left">CC and HA</td>
<td align="char" char=".">&#x3c;0</td>
<td align="char" char=".">&#x3c;0</td>
<td align="center">
<inline-formula id="inf45">
<mml:math id="m49">
<mml:mrow>
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<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
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<mml:mi>l</mml:mi>
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<mml:mi>p</mml:mi>
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<mml:mrow>
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<mml:mi>N</mml:mi>
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<mml:mi>V</mml:mi>
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<mml:mi>I</mml:mi>
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<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf46">
<mml:math id="m50">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
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<mml:mo>)</mml:mo>
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<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
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<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
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<mml:mi>I</mml:mi>
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</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">CC</td>
<td align="char" char=".">&#x3c;0</td>
<td align="char" char=".">&#x3e;0</td>
<td align="char" char=".">100</td>
<td align="char" char=".">0</td>
</tr>
<tr>
<td align="left">HA</td>
<td align="char" char=".">&#x3e;0</td>
<td align="char" char=".">&#x3c;0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">100</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<inline-formula id="inf47">
<mml:math id="m51">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> refers to the slope of NDVI observations based on remote sensing data; <inline-formula id="inf48">
<mml:math id="m52">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> refers to the slope of NDVI predicted values based on binary regression, indicating that climate change affects NDVI; <inline-formula id="inf49">
<mml:math id="m53">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> refers to the NDVI residual tendency rate, which represents the slope of NDVI under the influence of human activities. CC, climate change; HA, human activities.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Temporal and Spatial Change Trends of Vegetation normalized difference vegetation index</title>
<p>The NDVI of the Qinling Mountains in the growing season during 2000&#x2013;2019 showed a significant increase, with the rate of increase being 0.23/10a (p &#x3c; 0.01) (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). Specifically, the rate of increase was 0.013/10a (p &#x3c; 0.05) on the NSQM, and 0.026/10a (p &#x3c; 0.01) on the SSQM. The NDVI during the growing season fluctuated between 0.64 and 0.70 on the NSQM, and between 0.69 and 0.76 on the SSQM. The NDVI on the SSQM is significantly higher than that on the NSQM. In the past 20&#xa0;years, the vegetation coverage on the SSQM is not only higher than the NSQM but also displayed better signs of continuous improvement. This may be related to the expansion of the urban agglomeration on the&#x20;NSQM.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Interannual variation of growing season normalized difference vegetation index (NDVI) in the northern and southern slopes of the Qinling Mountains (NSQM and SSQM) during 2000&#x2013;2019.</p>
</caption>
<graphic xlink:href="feart-09-782287-g002.tif"/>
</fig>
<p>The change trend of NDVI during the growing season showed spatial heterogeneity in the Qinling Mountains during 2000&#x2013;2019 (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>). The area with increasing and decreasing trends of NDVI accounted for 87.96% and 12.04%. Among them, the areas with increasing and decreasing trends of NDVI accounted for 75.18% and 24.82% of the NSQM, and 91.30% and 8.70% of the NSQM, respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial distribution of trend and the significance for NDVI in the NSQM and SSQM during 2000&#x2013;2019.</p>
</caption>
<graphic xlink:href="feart-09-782287-g003.tif"/>
</fig>
<p>The area with a significant increase in NDVI accounts for 59.21% of the Qinling Mountains (<xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>), which was mainly distributed in the eastern region (i.e.,&#x20;Zhen&#x2019;an, Zhashui, Shanyang, etc.); the area with a significant decrease in NDVI only accounted for 4.00% of the study area, which is mainly located in Huyi, Chang&#x2019;an, and Huazhou in the NSQM, and Hanzhong, Ankang, and Chenggu in the SSQM. Meanwhile, the areas with insignificant NDVI change are mainly distributed in the central region of the Qinling Mountains.</p>
</sec>
<sec id="s3-2">
<title>3.2 Analysis of the Driving Forces of Vegetation Change</title>
<p>With the continuous intensification of human activities, to reveal the internal mechanism of vegetation change, we must not only consider the impact of climate change but also account for the contribution of human activities. The area where climate change contributed to the increase in NDVI accounted for 84.04% of the Qinling Mountains, of which the severe and moderately promoted areas accounted for 56.97% of the Qinling Mountains, distributed in the eastern region and the area around the Qinling Mountains. The impact of climate change on the increase of NDVI showed that the lightly promoted area accounted for 27.07% of the Qinling Mountains, which is mainly distributed in the central areas of the Qinling Mountains. The inhibited impact of climate change on the increase in NDVI accounted for 7.54% of the Qinling Mountains, of which the area of moderate and severe inhibition is only 2.17% of the Qinling Mountains. It shows that climate change in the past 20&#xa0;years is beneficial to vegetation growth in most areas of the Qinling Mountains.</p>
<p>The impact of human activities on the increase in NDVI is that the promoted area accounts for 73.63% of the Qinling Mountains, of which the severely and moderately promoted areas accounted for 52.77% of the Qinling Mountains, mainly distributed in the eastern part of the Qinling Mountains (<xref ref-type="fig" rid="F4">Figure&#x20;4B</xref>). It may be related to the Natural Forest Protection Project and the Grain for Green Project. The area where the influence of human activities on the increase in NDVI is inhibited accounts for 17.65% of the Qinling Mountains, mainly located at low elevations (i.e.,&#x20;Huyi, Chang&#x2019;an, Huazhou, and Hanzhong, Chenggu, Ankang), which are urban areas that have seen expansion. The moderately promoted area of the impact on NDVI increase of climate change accounts for a relatively high proportion, while the severely promoted area of human activity impact on NDVI increase is relatively high; the proportion of areas where human activities have inhibited the rise of NDVI is far greater than climate change. It indicates that human activities have a more direct and rapid impact on vegetation than climate change. A dividing line along Tongguan&#x2013;Shiquan exists for the spatial distribution of climate change and human activity impact on NDVI in the Qinling Mountains. The impact of human activities on vegetation is more obvious east of the &#x201c;Tongguan&#x2013;Shiquan&#x201d; divide.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Spatial distribution of the impacts of climate change and human activities on vegetation restoration in the Qinling Mountains during 2000&#x2013;2019.</p>
</caption>
<graphic xlink:href="feart-09-782287-g004.tif"/>
</fig>
<p>The NDVI change is caused by climate change and human activities, accounting for 80.17% of the Qinling Mountains, among which 73.45% were found to increase and 6.72% decreased (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>). The region of NDVI change caused by climate change alone accounted for 11.26% of the Qinling Mountains, mainly distributed in the central region (i.e.,&#x20;Liuba, Foping, Taibai, etc.); the region of NDVI change caused by human activities alone accounted for 8.57% of the Qinling Mountains. Regarding the NSQM and SSQM, the proportion of the NSQM where the NDVI decreases due to the combined influence of climate and human factors is much higher than that of the SSQM, but the area with increased NDVI is smaller than the&#x20;SSQM.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Drivers of vegetation cover change in the Qinling Mountains during 2000&#x2013;2019.</p>
</caption>
<graphic xlink:href="feart-09-782287-g005.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Spatial Distribution of Driving Factors of Vegetation Change in Qinling Mountains</title>
<p>The NDVI change is caused by climate change and human activities, accounting for 80.17% of the Qinling Mountains, among which 73.45% were found to increase, and 6.72% decreased (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>). The region of NDVI change caused by climate change alone accounted for 11.26% of the Qinling Mountains, mainly distributed in the central region (i.e.,&#x20;Liuba, Foping, Taibai, etc.); the region of NDVI change caused by human activities alone accounted for 8.57% of the Qinling Mountains. Regarding the NSQM and SSQM, the proportion of the NSQM where the NDVI decreases due to the combined influence of climate and human factors is much higher than that of the SSQM, but the area with increased NDVI is smaller than the&#x20;SSQM.</p>
</sec>
<sec id="s3-4">
<title>3.4 Contribution of Climate Change and Human Activities to Vegetation Improvement or Degradation</title>
<p>Regarding vegetation improvement area (<xref ref-type="fig" rid="F6">Figure&#x20;6A</xref> and <xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>), the contribution of climate change to vegetation improvement was higher than that of human activities in the Qinling Mountains (51.75% vs. 48.25%), including the NSQM (53.42% vs. 46.58%) and the SSQM (51.41% vs. 48.59%).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial distributions of the contribution proportions of <bold>(A)</bold> climate change and <bold>(B)</bold> human activities to vegetation improvement, <bold>(C)</bold> climate change, and <bold>(D)</bold> human activities to vegetation degradation in the Qinling Mountains (CC, climate change; HA, human activities in the figure).</p>
</caption>
<graphic xlink:href="feart-09-782287-g006.tif"/>
</fig>
<p>Regarding climate change, the largest area was characterized with 40%&#x2013;60% contribution to vegetation improvement (<xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>). The regions where the climate change contribution rates are more than 80% were distributed in the central region of the Qinling Mountains. Regarding human activities, the largest area was found with 40%&#x2013;60% contribution to vegetation improvement (<xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>). The highest rates of human activity contribution (over 80%) were distributed in the eastern part of the Qinling Mountains.</p>
<p>Regarding vegetation degradation area (<xref ref-type="fig" rid="F6">Figures 6C</xref>, <xref ref-type="fig" rid="F6">D</xref>), the contribution proportion of human activities to vegetation degradation was larger than that of climate change in the Qinling Mountains (77.89% vs. 22.11%), including the NSQM (81.78% vs. 18.22%) and the SSQM (75.02% vs. 24.98%).</p>
<p>As for climate change, the region with a contribution rate of 0%&#x2013;20% was the largest, while for human activities, the regions with a contribution rate of more than 80% are the largest. The vegetation degradation is mainly caused by human activities, while the contribution of climate change is&#x20;small.</p>
</sec>
<sec id="s3-5">
<title>3.5 Spatial Distribution of Dominant Factors in Vegetation normalized difference vegetation index Changes</title>
<p>In this study, the classification criteria for the leading factors of vegetation change are as follows: When the contribution rate of climate change is more than human activities, it is defined as &#x201c;climate dominated.&#x201d; On the contrary, it is defined as &#x201c;human dominated.&#x201d;</p>
<p>The percentage of climate-dominated vegetation improvement is smaller than that of human dominated (48.42% vs. 51.58%) (<xref ref-type="fig" rid="F7">Figure7</xref>), while the percentage of climate-dominated vegetation degradation is smaller than that of human dominated (17.56% vs. 82.44%). The above shows that the impact of climate change on vegetation change is smaller than that of human activities in the Qinling Mountains.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Spatial distributions of the climate and human dominated in the Qinling Mountains. <bold>(A)</bold> Vegetation improvement areas and <bold>(B)</bold> vegetation degradation&#x20;areas.</p>
</caption>
<graphic xlink:href="feart-09-782287-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<p>The vegetation changes in the Qinling Mountains are caused by the combined effects of climate change and human activities. On the one hand, it may be due to the continuous increase in temperature and precipitation, which promotes the growth of vegetation (<xref ref-type="bibr" rid="B5">Deng et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B30">Qi et&#x20;al., 2021</xref>), and the deposition of atmospheric carbon dioxide and nitrogen also enhances the growth of vegetation (<xref ref-type="bibr" rid="B20">Leakey et&#x20;al., 2009</xref>). On the other hand, the implementation of vegetation restoration projects is conducive to vegetation restoration (i.e.,&#x20;the Grain for Green project), increasing vegetation coverage, and improving the management level of vegetation ecosystems.</p>
<p>The vegetation in the central region of Qinling Mountains was affected by climate change to a lesser extent, while in the surrounding region, it was affected by climate change to a greater extent (<xref ref-type="fig" rid="F4">Figure&#x20;4A</xref>). This may be due to the high vegetation coverage in the central Qinling Mountains with little room for vegetation improvement. The vegetation of these regions is mildly promoted. Vegetation changes are not only affected by climate change but also human activities (<xref ref-type="bibr" rid="B23">Liu et&#x20;al., 2018</xref>) (<xref ref-type="bibr" rid="B31">Qin et&#x20;al., 2021</xref>). Population density, policy orientation, and topographical conditions will all affect the impact of human activities on vegetation changes (<xref ref-type="bibr" rid="B22">Li et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B46">Zheng et&#x20;al., 2019</xref>). In areas with large slopes and complex terrain, the impact of human activities on vegetation changes is weakened. In this study, the eastern region with low altitude and low slope was found to have a high contribution rate of human activities to vegetation improvement, which is particularly obvious in the east of the &#x201c;Tongguan&#x2013;Shiquan line&#x201d; (<xref ref-type="fig" rid="F4">Figure&#x20;4B</xref>, <xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>).</p>
<p>In the degraded vegetation areas of the Qinling Mountains, human activities contributed 77.89% to the vegetation change (<xref ref-type="fig" rid="F6">Figure&#x20;6D</xref>). It has been pointed out that land cover changes in Chang&#x2019;an, Huyi, Lantian, and Huazhou in the Qinling Mountains are mainly the conversion of forest land and grassland to construction land (<xref ref-type="bibr" rid="B32">Guo et&#x20;al., 2018</xref>), which may be the reason for the high contribution rate of human activities to the decrease of&#x20;NDVI.</p>
<p>The central part of Foping also exhibits high human activity contribution with the NDVI declining significantly, which was related to the conversion of forested grassland to construction land during the construction of scenic areas (<xref ref-type="bibr" rid="B32">Guo et&#x20;al., 2018</xref>). Human activities in the eastern part of the Qinling Mountains leads to an increase in vegetation NDVI (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref>), which was due to the implementation of artificial ecological projects, which has significantly improved the vegetation. Previous studies have pointed out that the vegetation coverage in the eastern part of the Qinling Mountains has increased significantly (<xref ref-type="bibr" rid="B39">Wang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B21">Li et&#x20;al., 2019</xref>), which was similar to the results of this study. The improvement of vegetation in this area is the main contribution of human activities. Therefore, the implementation of ecological engineering projects plays a significant role in the improvement of vegetation coverage.</p>
<p>Regarding the vegetation ecosystem change, there may be some normal ecological succession during the evolution of vegetation ecosystem leading to vegetation change, which needs to be improved by adding more detailed vegetation distribution data later. In the study, severe vegetation degradation was identified in the low-elevation areas in the Qinling Mountains, with the main factor of degradation being human activities. However, whether this area was converted to construction land or cultivated land after degradation deserves further exploration. Moreover, the deviation of NDVI data quality may lead to some errors in the results, which may cause certain errors in the research. Although this study has certain shortcomings, the research and analysis in this article are still a good attempt to quantitatively assess the influence factors of vegetation change.</p>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>This paper investigated the spatial and temporal variability characteristics of NDVI and quantitatively assessed the relative contribution of the drivers of NDVI change in the Qinling Mountains. The results show that the NDVI value in the Qinling Mountains exhibited a significant increasing trend at a rate of 0.23/10a during 2000&#x2013;2019. The combined impact of climate change and human activities were the main driving force for the change and spatial difference of vegetation NDVI in the Qinling Mountains. The &#x201c;Tongguan&#x2013;Shiquan line&#x201d; is not only the dividing line for the intensity of vegetation change but also separates the climatic- and human-dominated type. In terms of the vegetation improvement area, the contribution of climate change to the NDVI increase is greater than that of human activities (51.75% vs. 48.25%). In terms of vegetation degradation area, the area of climate change as the leading factor accounted for 17.56%, and the area with human activities as the dominant factor accounted for 82.44%. It is more important to establish stricter measures for human activities.</p>
</sec>
</body>
<back>
<sec id="s6">
<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 author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>DC: Data Analysis, writing-original draft. GQ: Writing-review and editing. JS: Project administration. YZ: Formal analysis. HB: Conceptialization. XG: Investigation, Validation.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was jointly supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 42041004), Key Research and Development Program of Shaanxi Province, China(Grant No. 2019ZDLSF05-02), Shaanxi Province Water Conservancy Science and Technology Project(Grant No.2021slkj-13).</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>
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