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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2023.1131210</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Assessing restoration and degradation of natural and artificial vegetation in the arid zone of Northwest China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Jinxia</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2217712/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Zhi</given-names>
</name>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1792791/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Duan</surname>
<given-names>Weili</given-names>
</name>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/846864/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Hongfang</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1101904/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hao</surname>
<given-names>Haichao</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2149419/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiang</surname>
<given-names>Yanyun</given-names>
</name>
<xref rid="aff4" ref-type="aff"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2217742/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Qifei</given-names>
</name>
<xref rid="aff5" ref-type="aff"><sup>5</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2217749/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>School of Geographic Sciences, East China Normal University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Key Laboratory of Geographic Information Science, Ministry of Education, East China Normal University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>State Key Laboratory of Desert and Oasis Ecology, Xinjiang Institute of Ecology and Geography</institution>, <addr-line>Urumqi</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>School of Public Administration, Shanxi University of Finance and Economics</institution>, <addr-line>Taiyuan</addr-line>, <country>China</country></aff>
<aff id="aff5"><sup>5</sup><institution>School of Geographic Sciences, Shanxi Normal University</institution>, <addr-line>Taiyuan</addr-line>, <country>China</country></aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by"><p>Edited by: Xiaoyang Zhang, South Dakota State University, United States</p></fn>
<fn id="fn0002" fn-type="edited-by"><p>Reviewed by: Hailong Wang, Sun Yat-sen University, Zhuhai Campus, China; Bin Guo, Shandong University of Science and Technology, China</p></fn>
<corresp id="c001">&#x002A;Correspondence: Haichao Hao, <email>haohc@stu.ecnu.edu.cn</email></corresp>
<fn id="fn0003" fn-type="other"><p>This article was submitted to Environmental Informatics and Remote Sensing, a section of the journal Frontiers in Ecology and Evolution</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1131210</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Zhang, Li, Duan, Zhao, Hao, Xiang and Zhang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Zhang, Li, Duan, Zhao, Hao, Xiang and Zhang</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>Assessing vegetation restoration and degradation trends is important for regional ecological conservation and sustainable development, yet few studies have examined the characteristics of these trends in natural and artificial vegetation in arid zones. In this study, we develop an assessment framework based on two common ecological indicators, Net Primary Productivity (NPP) and Water Use Efficiency (WUE). We discuss the restoration and degradation trends of natural and artificial vegetation in China&#x2019;s Northwest Arid Region (NAR) and analyze the similarities and differences between the changes in the two. Our results reveal the following: (1) Both natural vegetation (Nav) NPP and artificial vegetation (Arv) NPP in the NAR are dominated by significant growth, with precipitation being the most influential factor. Arv NPP changes are greater than Nav NPP. (2) WUE and NPP have similar spatial distribution characteristics, with precipitation and temperature dominating WUE changes in the Qilian Mountains and s southern Xinjiang, respectively. In the near future, Nav WUE is expected to be dominated by improvement to degradation, while Arv WUE will continue to improve under human intervention. These two indices respond differently to the environmental factors that cause their changes. (3) Nav and Arv exhibit similar restoration and degradation trends, mainly dominated by early recovery with Nav displaying a slightly more prominent restoration trend than Arv. The NPP-WUE assessment framework will help to rapidly assess vegetation degradation and restoration at large scales, providing new perspectives for research in this field.</p>
</abstract>
<kwd-group>
<kwd>artificial vegetation</kwd>
<kwd>natural vegetation</kwd>
<kwd>net primary productivity</kwd>
<kwd>water use efficiency</kwd>
<kwd>restoration and degradation</kwd>
</kwd-group>
<contract-num rid="cn1">2021D01E02</contract-num>
<contract-sponsor id="cn1">Natural Science Foundation of Xinjiang Uygur Autonomous Region</contract-sponsor>
<contract-sponsor id="cn2">Youth Innovation Promotion Association of the Chinese Academy of Sciences<named-content content-type="fundref-id">10.13039/501100004739</named-content></contract-sponsor>
<counts>
<fig-count count="8"/>
<table-count count="4"/>
<equation-count count="15"/>
<ref-count count="55"/>
<page-count count="13"/>
<word-count count="7989"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>According to the newly published <italic>World Atlas of Desertification</italic>, more than 75% of the world&#x2019;s land is already degraded. By 2050, this proportion is predicted to exceed 90% (<xref ref-type="bibr" rid="ref2">&#x00C1;d&#x00E1;m and K&#x0159;e&#x010D;ek, 2019</xref>). As multiple regions across the globe are suffering from the effects of drought, degradation and desertification, coping with these issues has become an international flash point that will challenge the achievement of the United Nations Sustainable Development Goals (SDGs; <xref ref-type="bibr" rid="ref38">Stavi and Lal, 2015</xref>; <xref ref-type="bibr" rid="ref3">Barbier and Hochard, 2018</xref>). To alleviate environmental pressures and improve ecosystems, the Chinese government started a series of ecological construction projects in the late 20th century (<xref ref-type="bibr" rid="ref32">L&#x00FC; et al., 2012</xref>; <xref ref-type="bibr" rid="ref4">Bryan et al., 2018</xref>). The Northwest Arid Region (NAR) is one of the most ecologically fragile regions in China. In recent years, with the development of oasis agriculture, there has been serious vegetation destruction in that zone, making it a priority area for ecological construction (<xref ref-type="bibr" rid="ref13">Fang et al., 2001</xref>; <xref ref-type="bibr" rid="ref31">Li et al., 2019</xref>).</p>
<p>Artificial vegetation (Arv) is an important component of the NAR&#x2019;s ecosystem. Arv is also an important complement to natural ecosystems, so China&#x2019;s vast Arv region plays a key role in enhancing ecosystem services and mitigating climate warming (<xref ref-type="bibr" rid="ref34">Peng et al., 2014</xref>; <xref ref-type="bibr" rid="ref39">Tang et al., 2018</xref>). Several studies have attempted to explore the structural differences as well as the degradation and restoration patterns between Arv and natural vegetation (Nav; <xref ref-type="bibr" rid="ref10">Domec et al., 2015</xref>; <xref ref-type="bibr" rid="ref18">Fu et al., 2017</xref>). Recent research suggests that Nav restoration significantly improves soil organic carbon storage and inorganic nitrogen accumulation in restored areas compared to Arv restoration; it also plays an important role in improving soil aggregate stability and erosion resistance (<xref ref-type="bibr" rid="ref22">Hu et al., 2019</xref>; <xref ref-type="bibr" rid="ref11">Dou et al., 2020</xref>). Over the long term, Arv planting is anticipated to cause degradation of vegetation when it exceeds the natural carrying capacity, causing the growth of Nav to saturate or even decrease (<xref ref-type="bibr" rid="ref45">Xu, 2022</xref>). These widespread trends in vegetation restoration and subsequent degradation have caused considerable concern. However, due to the complexity of the processes involved, especially in arid areas, there is considerable uncertainty in their assessment. Vegetation restoration and degradation in arid zones remains poorly studied, which limits our understanding of the change mechanisms contributing to the phenomenon.</p>
<p>With the development of remote sensing techniques, ecological indicators such as the Normalized Difference Vegetation Index (NDVI) and Net Primary Productivity (NPP) are now being widely used to characterize vegetation growth trends (<xref ref-type="bibr" rid="ref44">Wessels et al., 2012</xref>; <xref ref-type="bibr" rid="ref28">Le et al., 2016</xref>). The most popular method is the simulation of NPP estimation based on NDVI and using the Carnegie-Ames-Stanford Approach (CASA). However, there is uncertainty in assessing desertification processes when relying solely on NPP indicators. Furthermore, desertification not only has an impact on vegetation quantity, but usually also on the photosynthetic characteristics, species composition, and water use efficiency (WUE) of vegetation (<xref ref-type="bibr" rid="ref50">Zhao et al., 2009</xref>; <xref ref-type="bibr" rid="ref51">Zheng et al., 2011</xref>).</p>
<p>Water use efficiency refers to the ratio of CO<sup>2</sup> assimilation rate to transpiration rate or stomatal conductance of leaves and is used to reflect the physiological condition of plants (<xref ref-type="bibr" rid="ref16">Farquhar and Richards, 1984</xref>; <xref ref-type="bibr" rid="ref27">Law et al., 2002</xref>). Typically, WUE changes very little, but it does change significantly under certain circumstances, such as when plants become physiologically adapted to extreme climatic conditions, when photosynthesis, transpiration and stomatal conductance of leaves change, or when changes in vegetation composition occur (<xref ref-type="bibr" rid="ref9">Do and Kang, 2014</xref>; <xref ref-type="bibr" rid="ref23">Huang et al., 2015</xref>). In an environment that has turned arid, pore conductance preferentially decreases photosynthesis, causing transpiration to decrease and plant WUE to increase. In contrast, WUE decreases when severe drought occurs (<xref ref-type="bibr" rid="ref40">Taylor et al., 2010</xref>; <xref ref-type="bibr" rid="ref30">Li et al., 2015</xref>).</p>
<p>Vegetation productivity, species composition, and physiological characteristics respond differently to environmental stresses during the various stages of vegetation degradation. While NPP and WUE can characterize some information about changes in vegetation production and species composition, respectively, the joint use of these two indicators to build a framework can characterize different stages of vegetation degradation more effectively than the use of individual indicators alone (<xref ref-type="bibr" rid="ref36">Ruppert et al., 2012</xref>; <xref ref-type="bibr" rid="ref21">Horion et al., 2016</xref>). Based on this approach, the present study uses a joint WUE and NPP framework to assess the degradation and restoration trends of natural and artificial vegetation in the arid zone of northwest China and to analyze the differences between the two trends (<xref rid="fig1" ref-type="fig">Figure 1</xref>). The aim in conducting this research is to provide a scientific basis for vegetation conservation and ecological environment improvement in the NAR.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Technical roadmap for the study.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g001.tif"/>
</fig>
</sec>
<sec id="sec2">
<label>2.</label>
<title>Study area</title>
<p>The Northwest Arid Region (NAR) is located in the interior of western China. It covers an area of about 2.11&#x2009;&#x00D7;&#x2009;10<sup>6</sup> square kilometers and includes Xinjiang, northern Gansu, and western Inner Mongolia. The NAR has a complex and diverse landscape, with undulating terrain and a topography that is dominated by plateaus, mountains, and basins. The natural landscape constitutes a special geographical pattern with the coexistence of three major ecosystems: mountain-oasis-desert (<xref rid="fig2" ref-type="fig">Figure 2</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Study area. NO.: GS (2019)1822. ARV covered about 6.5% of the study area and NAV covered about 29.86%.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g002.tif"/>
</fig>
<p>Due to the perennial influence of continental climate, the NAR has little precipitation and shows a decreasing trend from east to west. Evaporation is strong and surface water is insufficient to sustain normal vegetation growth, so plants have to rely mainly on groundwater. Temperatures vary widely from day to day, season to season, and year to year, making the NAR one of the driest areas in the world. Of the few lakes that do exist, most are located in the Xinjiang Uygur Autonomous Region. Their water is typically brackish and saline, and they have large seasonal variations in area and depth. Human settlement in the NAR is relatively sparse compared to elsewhere in China, with most of the population concentrated in the region&#x2019;s oasis area. Unfortunately, economic development in this arid zone has not kept pace with the rest of the country, due primarily to the constraints imposed by the harsh environmental conditions and low population.</p>
</sec>
<sec id="sec3">
<label>3.</label>
<title>Data and methods</title>
<sec id="sec4">
<label>3.1.</label>
<title>Data</title>
<p>The data used in this study are shown in <xref rid="tab1" ref-type="table">Table 1</xref>. MODIS (Moderate-Resolution Imaging Spectroradiometer) is a new generation of &#x201C;atlas-integrated&#x201D; optical remote sensing instruments. Its data products help us to understand in depth the global dynamics of land, ocean, and lower atmosphere (<xref ref-type="bibr" rid="ref24">Justice et al., 2002</xref>). GLDAS (Global Land Data Assimilation System) can generate the best land surface states and flux fields for global implementation at high resolution (<xref ref-type="bibr" rid="ref35">Rodell et al., 2004</xref>). TerraClimate is a monthly climate dataset for the global land surface that combines the WorldClim dataset with CRU Ts4.0 and JRA55 to create a high spatial resolution dataset covering a wider range of time records (<xref ref-type="bibr" rid="ref1">Abatzoglou et al., 2018</xref>). The AVHRR evapotranspiration product uses satellite remote sensing data combined with atmospheric reanalysis products and daily ground-based meteorological data to produce a global terrestrial evapotranspiration dataset (<xref ref-type="bibr" rid="ref49">Zhang et al., 2010</xref>). The SRTM (Shuttle Radar Topography Mission) data were jointly measured by NASA and the National Mapping Agency (NIMA) of the Department of Defense. They used the C-band in the SAR method to collect 80% of the global terrestrial topography (<xref ref-type="bibr" rid="ref17">Farr et al., 2007</xref>). Some of the temperature and precipitation data are downscaled over China using the Delta Spatial Downscaling scheme based on the global 0.5&#x00B0; climate dataset published by CRU and the global high-resolution climate dataset published by WorldClim (<xref ref-type="bibr" rid="ref8">Ding and Peng, 2020</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Data product type and source.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model/Chapter</th>
<th align="left" valign="top">Product</th>
<th align="left" valign="top">Type</th>
<th align="left" valign="top">Temporal resolution</th>
<th align="left" valign="top">Spatial resolution</th>
<th align="left" valign="top">Source URL</th>
<th align="center" valign="top">Time series</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">CASA</td>
<td align="left" valign="top" rowspan="2">MOD13A3</td>
<td align="left" valign="top" rowspan="2">NDVI</td>
<td align="left" valign="top" rowspan="2">30&#x2009;days</td>
<td align="left" valign="top" rowspan="2">1&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="https://modis.gsfc.nasa.gov/" ext-link-type="uri">https://modis.gsfc.nasa.gov/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 2 August 2022]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">MOD17A3H</td>
<td align="left" valign="top" rowspan="2">NPP</td>
<td align="left" valign="top" rowspan="2">4&#x2009;days</td>
<td align="left" valign="top" rowspan="2">500&#x2009;m</td>
<td align="left" valign="top"><ext-link xlink:href="https://modis.gsfc.nasa.gov/" ext-link-type="uri">https://modis.gsfc.nasa.gov/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 2 August 2022]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">T3H(GLDAS)</td>
<td align="left" valign="top" rowspan="2">Temperature</td>
<td align="left" valign="top" rowspan="2">3&#x2009;h</td>
<td align="left" valign="top" rowspan="2">0.25&#x00B0;</td>
<td align="left" valign="top"><ext-link xlink:href="http://ldas.gsfc.nasa.gov/" ext-link-type="uri">http://ldas.gsfc.nasa.gov/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">TerraClimate</td>
<td align="left" valign="top" rowspan="2">Precipitation</td>
<td align="left" valign="top" rowspan="2">monthly</td>
<td align="left" valign="top" rowspan="2">1/24&#x00B0;&#x2009;~&#x2009;4&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="https://www.ecmwf.int" ext-link-type="uri">https://www.ecmwf.int</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">TerraClimate</td>
<td align="left" valign="top" rowspan="2">SOL (Total solar radiation)</td>
<td align="left" valign="top" rowspan="2">monthly</td>
<td align="left" valign="top" rowspan="2">1/24&#x00B0;&#x2009;~&#x2009;4&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="https://www.ecmwf.int/" ext-link-type="uri">https://www.ecmwf.int</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">MCD12Q1</td>
<td align="left" valign="top">Landcover</td>
<td align="left" valign="top" rowspan="2">96&#x2009;days</td>
<td align="left" valign="top" rowspan="2">500&#x2009;m</td>
<td align="left" valign="top"><ext-link xlink:href="https://modis.gsfc.nasa.gov/" ext-link-type="uri">https://modis.gsfc.nasa.gov/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">(IGBP)</td>
<td align="left" valign="top">[Accessed on 2 August 2022]</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Chapter</td>
<td align="left" valign="top" rowspan="2">AVHRR</td>
<td align="left" valign="top" rowspan="2">ET</td>
<td align="left" valign="top" rowspan="2">8&#x2009;days</td>
<td align="left" valign="top" rowspan="2">0.05&#x00B0;</td>
<td align="left" valign="top"><ext-link xlink:href="http://www.glass.umd.edu/download.html" ext-link-type="uri">http://www.glass.umd.edu/download.html</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">CRU-Worldclim</td>
<td align="left" valign="top" rowspan="2">Temperature</td>
<td align="left" valign="top" rowspan="2">monthly</td>
<td align="left" valign="top" rowspan="2">1&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="http://data.tpdc.ac.cn/zh-hans/" ext-link-type="uri">http://data.tpdc.ac.cn/zh-hans/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">CRU-Worldclim</td>
<td align="left" valign="top" rowspan="2">Precipitation</td>
<td align="left" valign="top" rowspan="2">monthly</td>
<td align="left" valign="top" rowspan="2">1&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="http://data.tpdc.ac.cn/zh-hans/" ext-link-type="uri">http://data.tpdc.ac.cn/zh-hans/</ext-link></td>
<td align="center" valign="top" rowspan="2">2001&#x2013;2018</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">SRTM</td>
<td align="left" valign="top" rowspan="2">DEM</td>
<td align="left" valign="top" rowspan="2">&#x2014;</td>
<td align="left" valign="top" rowspan="2">30&#x2009;m</td>
<td align="left" valign="top"><ext-link xlink:href="https://www.usgs.gov/" ext-link-type="uri">https://www.usgs.gov/</ext-link></td>
<td align="center" valign="top" rowspan="2">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 13 April 2021]</td>
</tr>
<tr>
<td rowspan="2"/>
<td align="left" valign="top" rowspan="2">Land use type of CAS</td>
<td align="left" valign="top" rowspan="2">Vegetation type</td>
<td align="left" valign="top" rowspan="2">&#x2014;</td>
<td align="left" valign="top" rowspan="2">1&#x2009;km</td>
<td align="left" valign="top"><ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link></td>
<td align="center" valign="top" rowspan="2">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="top">[Accessed on 2 August 2022]</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec5">
<label>3.2.</label>
<title>Methods</title>
<sec id="sec6">
<label>3.2.1.</label>
<title>WUE calculation</title>
<p>The water use efficiency of an ecosystem is equal to the ratio of net primary productivity (NPP) of vegetation to evapotranspiration (ET) and is calculated as:</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">E</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:mfrac></mml:math></disp-formula>
<p>where WUE indicates water use efficiency (g C&#x00B7;mm<sup>&#x2212;1</sup>&#x00B7;a<sup>&#x2212;2</sup>), NPP denotes the net primary productivity of vegetation (g C&#x00B7;m<sup>&#x2212;2</sup>&#x00B7;a<sup>&#x2212;1</sup>), and ET is evapotranspiration (mm&#x00B7;a).</p>
</sec>
<sec id="sec7">
<label>3.2.2.</label>
<title>NPP calculation</title>
<p>The CASA (Carnegie-Ames-Stanford Approach) model is a typical representative of light energy utilization. In this study, the NPP was simulated using the CASA model optimized by <xref ref-type="bibr" rid="ref53">Zhu et al. (2006)</xref>. Photosynthetically active radiation (APAR) and light energy utilization are the main parameters in this model. Their calculation equations are as follows:</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mi mathvariant="normal">APAR</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced></mml:math></disp-formula>
<p>In the formula, APRP indicates the radiation on an image (<italic>x</italic>) in month <italic>t</italic> that is beneficial to plant photosynthesis, i.e., photosynthetically active radiation (MJ&#x00B7;m<sup>&#x2212;2</sup>), and &#x03B5; denotes the degree of light energy utilization in an image (<italic>x</italic>) in month <italic>t</italic>, i.e., light energy utilization (gC&#x00B7;MJ<sup>&#x2212;1</sup>).</p>
<p>To estimate the photosynthetically active radiation absorbed by vegetation, remote sensing data can be used for the analysis. Our analysis of the determinants of light and effective radiation absorbed by vegetation shows that it is determined by the utilization of total solar radiation and photosynthetically-effective radiation. The expressions can be formulated as:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mi mathvariant="normal">APAR</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SOL</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:mi mathvariant="normal">FPAR</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:mn>0.5</mml:mn></mml:math></disp-formula>
<p>where SOL(<italic>x, t</italic>) represents the total solar radiation (MJ&#x00B7;m<sup>&#x2212;2</sup>) contained in an image element (<italic>x</italic>) in month <italic>t</italic>, and FPAR(<italic>x</italic>, <italic>t</italic>) indicates the ratio of radiation absorbed by vegetation to incident radiation.</p>
<p>The photosynthesis of plants is influenced by factors such as temperature, precipitation, and atmospheric water-air pressure difference, which further affects the NPP of vegetation. Therefore, in the model, these factors regulate NPP through the maximum light energy use efficiency. The formula to describe this relation can be calculated as follows:</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mi>&#x03B5;</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>&#x03B5;</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>&#x03B5;</mml:mi><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mi mathvariant="normal">W</mml:mi><mml:mi>&#x03B5;</mml:mi></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M5"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>&#x03B5;</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced><mml:mspace width="thickmathspace"/><mml:mi mathvariant="normal">and</mml:mi><mml:mspace width="thickmathspace"/><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>&#x03B5;</mml:mi><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi>x</mml:mi><mml:mi>t</mml:mi></mml:mfenced></mml:math></inline-formula> indicate the stress on &#x03B5; when the temperature is too high or too low<inline-formula><mml:math id="M6"><mml:mo>;</mml:mo><mml:msub><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">&#x03B5;</mml:mi></mml:msub><mml:mfenced open="(" close=")" separators=","><mml:mi mathvariant="normal">x</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mfenced></mml:math></inline-formula> represents the effect of moisture on <inline-formula><mml:math id="M7"><mml:mi mathvariant="normal">&#x03B5;</mml:mi></mml:math></inline-formula>; and <inline-formula><mml:math id="M8"><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:math></inline-formula> is the maximum <inline-formula><mml:math id="M9"><mml:mi mathvariant="normal">&#x03B5;</mml:mi></mml:math></inline-formula>(gC&#x00B7; MJ<sup>&#x2212;1</sup>) of vegetation. In this study, the value of (<inline-formula><mml:math id="M10"><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:math></inline-formula>) is based on the calculation results of <xref ref-type="bibr" rid="ref53">Zhu et al. (2006)</xref>.</p>
<p>We validated the estimation results using MOD17A3H data. As shown in <xref rid="fig3" ref-type="fig">Figure 3</xref>, the simulated NPP values have a good linear correlation with MODIS17A3H values (<italic>R<sup>2</sup></italic>&#x2009;=&#x2009;0.81). This indicates that the simulated NPP values of the improved CASA model can truly reflect the variations in NPP in the NAR. Therefore, the improved CASA model is applicable to the study of NPP estimation in the study area.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Correlation analysis between simulated annual total NPP and total annual MODIS17A3H in China&#x2019;s NAR, 2001&#x2013;2018.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g003.tif"/>
</fig>
</sec>
<sec id="sec8">
<label>3.2.3.</label>
<title>Hurst index</title>
<p>The Hurst index is often used to predict the persistence of time series. In this paper, the index is obtained based on the R/S calculation method. The calculation formula is:</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M11"><mml:mfrac><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub><mml:msub><mml:mi>S</mml:mi><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mi>H</mml:mi></mml:msup></mml:math></disp-formula>
<disp-formula id="E6"><label>(6)</label><mml:math id="M12"><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mo>max</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>X</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>t</mml:mi><mml:mi>T</mml:mi></mml:mfenced></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mo>min</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:msub><mml:mi>X</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>t</mml:mi><mml:mi>T</mml:mi></mml:mfenced></mml:math></disp-formula>
<disp-formula id="E7"><label>(7)</label><mml:math id="M13"><mml:msub><mml:mi>S</mml:mi><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="[" close="]"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>T</mml:mi></mml:mfrac><mml:munderover><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>T</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:mrow><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:mrow><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub></mml:mrow></mml:mfenced><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfenced><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:msup></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M14"><mml:mi>X</mml:mi><mml:mfenced open="(" close=")" separators=","><mml:mi>t</mml:mi><mml:mi>T</mml:mi></mml:mfenced></mml:math></inline-formula> represents the cumulative deviation;<inline-formula><mml:math id="M15"><mml:msub><mml:mi mathvariant="normal">R</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">t</mml:mi></mml:mfenced></mml:msub></mml:math></inline-formula> denotes the extreme deviation;<inline-formula><mml:math id="M16"><mml:msub><mml:mi>S</mml:mi><mml:mfenced open="(" close=")"><mml:mi>T</mml:mi></mml:mfenced></mml:msub></mml:math></inline-formula> stands for the standard deviation; and H indicates the Hurst index, whose value is between 0 and 1. When <italic>H</italic>&#x2009;=&#x2009;0.5, the future trend of the series does not have long-term correlation with the past trend; when 0&#x2009;&#x2264;&#x2009;<italic>H</italic>&#x2009;&#x003C;&#x2009;0.5, the series has inverse persistence, and the future trend is opposite to the past one; and when 0.5&#x2009;&#x003C;&#x2009;<italic>H</italic>&#x2009;&#x2264;&#x2009;1, the series has persistence, and the future trend is consistent with the past one.</p>
</sec>
<sec id="sec9">
<label>3.2.4.</label>
<title>Partial correlation analysis</title>
<p>In multivariate systems, partial correlation allows the study of the correlation of one element to another, while eliminating the effect of one or more confounding factors. When the number of control variables is one, the partial correlation coefficient is called the first-order partial correlation coefficient. When the number of control variables is n, the partial correlation coefficient is called the nth-order correlation coefficient. When the number of control variables is zero, the partial correlation coefficient is called the zero-order partial correlation coefficient, which is also known as the correlation coefficient. The formula for calculating the partial correlation coefficient is as follows:</p>
<disp-formula id="E8"><label>(8)</label><mml:math id="M17"><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">ab</mml:mi><mml:mo>&#x00B7;</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:mfenced></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="italic">ab</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:msqrt><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:msub><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:msub><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mi>b</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mfrac></mml:math></disp-formula>
<disp-formula id="E9"><label>(9)</label><mml:math id="M18"><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">ab</mml:mi></mml:mfenced></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mfenced open="[" close="]"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mover accent="true"><mml:mi>a</mml:mi><mml:mo stretchy="true">&#x00AF;</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mover accent="true"><mml:mi>b</mml:mi><mml:mo stretchy="true">&#x00AF;</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow><mml:msqrt><mml:mrow><mml:msubsup><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2212;</mml:mo></mml:mrow></mml:msub><mml:mover accent="true"><mml:mi>a</mml:mi><mml:mo stretchy="true">&#x00AF;</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn>2</mml:mn></mml:msup><mml:msubsup><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mover accent="true"><mml:mi>b</mml:mi><mml:mo stretchy="true">&#x00AF;</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mfrac></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M19"><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">ab</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:mfenced></mml:msub></mml:math></inline-formula>indicates the first-order partial correlation coefficient between ab with constant c, applicable to the analysis of the relationship between three variables; and <inline-formula><mml:math id="M20"><mml:msub><mml:mi>R</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">ab</mml:mi></mml:mfenced></mml:msub></mml:math></inline-formula> indicates the correlation coefficient between <italic>ab</italic>, applicable to the analysis of the relationship between two variables.</p>
<p>The <italic>t</italic>-test is generally used to test statistics, using the formula:</p>
<disp-formula id="E10"><label>(10)</label><mml:math id="M21"><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mn>12</mml:mn><mml:mo>,</mml:mo><mml:mn>34</mml:mn><mml:mo>&#xFF0C;</mml:mo><mml:mo>&#x2026;</mml:mo><mml:mo>&#xFF0C;</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:msqrt><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:msubsup><mml:mi>r</mml:mi><mml:mrow><mml:mn>12</mml:mn><mml:mo>,</mml:mo><mml:mn>32</mml:mn><mml:mo>&#xFF0C;</mml:mo><mml:mo>&#x2026;</mml:mo><mml:mo>&#xFF0C;</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mfrac><mml:msqrt><mml:mrow><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msqrt></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M22"><mml:msub><mml:mi>r</mml:mi><mml:mrow><mml:mn>12</mml:mn><mml:mo>,</mml:mo><mml:mn>34</mml:mn><mml:mo>&#xFF0C;</mml:mo><mml:mo>&#x2026;</mml:mo><mml:mo>&#xFF0C;</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> represents the bias correlation coefficient, n indicates the number of samples, and m denotes the number of independent variables. For the present study, <italic>p</italic>&#x2009;&#x2264;&#x2009;0.05 is considered statistically significant.</p>
</sec>
<sec id="sec10">
<label>3.2.5.</label>
<title>Sen&#x2009;+&#x2009;Mann-Kendall trend analysis</title>
<p>Theil-Sen median trend analysis (also known as Sen trend analysis or Sen&#x2019;s slope) is a robust nonparametric statistical approach to trend calculation. Compared to linear regression trend analysis, Sen trend analysis circumvents the effects of missing data and data distribution patterns in the time series and eliminates the interference of outliers in the time series. Its calculation formula is:</p>
<disp-formula id="E11"><label>(11)</label><mml:math id="M23"><mml:mi>&#x03B2;</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Median</mml:mi><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:mfrac></mml:mfenced><mml:mo>,</mml:mo><mml:msub><mml:mo>&#x2200;</mml:mo><mml:mi>j</mml:mi></mml:msub><mml:mo>&#x003E;</mml:mo><mml:mi>i</mml:mi></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M24"><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M25"><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> are the values of year <italic>i</italic> and <italic>j</italic> in A time series data; Median is the median taking function; and <inline-formula><mml:math id="M26"><mml:mi>&#x03B2;</mml:mi></mml:math></inline-formula> is the median of the slope of all data pairs, which is the Sen slope of the time series. When <italic>&#x03B2;</italic>&#x003E;0, the time series has an increasing trend, whereas when <italic>&#x03B2;</italic>&#x003C;0, the time series has a decreasing trend.</p>
<p>The Mann-Kendall (MK) test is typically used in conjunction with Sen trend analysis. It is a nonparametric statistical test that is not affected by missing values and outliers, nor does it require the sample data to follow a certain distribution. Its formula can be expressed as:</p>
<disp-formula id="E12"><label>(12)</label><mml:math id="M27"><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="true">{</mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:msqrt><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mfenced open="(" close=")"><mml:mi>S</mml:mi></mml:mfenced></mml:mrow></mml:msqrt></mml:mfrac><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&#x003E;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn>0</mml:mn><mml:mspace width="thickmathspace"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:msqrt><mml:mrow><mml:mi mathvariant="normal">V</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mfenced open="(" close=")"><mml:mi>S</mml:mi></mml:mfenced></mml:mrow></mml:msqrt></mml:mfrac><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&#x003C;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E13"><label>(13)</label><mml:math id="M28"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:munderover><mml:munderover><mml:mstyle displaystyle="true"><mml:mo stretchy="true">&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mi mathvariant="italic">sign</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:math></disp-formula>
<disp-formula id="E14"><label>(14)</label><mml:math id="M29"><mml:mi mathvariant="normal">V</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mi mathvariant="normal">r</mml:mi><mml:mfenced open="(" close=")"><mml:mi>S</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>n</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:mfenced></mml:mrow><mml:mn>18</mml:mn></mml:mfrac></mml:math></disp-formula>
<disp-formula id="E15"><label>(15)</label><mml:math id="M30"><mml:mi mathvariant="italic">sign</mml:mi><mml:mfenced open="(" close=")"><mml:mi>&#x03B8;</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mo stretchy="true">{</mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mn>1</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>&#x03B8;</mml:mi><mml:mo>&#x003E;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn>0</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>&#x03B8;</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>&#x03B8;</mml:mi><mml:mo>&#x003C;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <inline-formula><mml:math id="M31"><mml:msub><mml:mi>A</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M32"><mml:msub><mml:mi>A</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> are A time series data; sign is the sign function; <italic>S</italic> is the test statistic; <italic>Z</italic> is the standardized test statistic; and n is the amount of data. NPP trends were classified into five categories according to the significance levels of Sen-MK trend analysis <italic>|Z|</italic>&#x2009;&#x003E;&#x2009;1. 96 (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05) and <italic>|Z|</italic>&#x2009;&#x003E;&#x2009;2. 58 (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01; <xref rid="tab2" ref-type="table">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Criteria for grading change trends.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Trends</th>
<th align="left" valign="top">Sen slope (<italic>&#x03B2;</italic>)</th>
<th align="left" valign="top">MK test (<italic>Z</italic>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Extremely significant increase</td>
<td align="left" valign="top"><italic>&#x03B2;</italic>&#x003E;0</td>
<td align="left" valign="top">Z&#x2009;&#x003E;&#x2009;2.58</td>
</tr>
<tr>
<td align="left" valign="top">Significant increase</td>
<td align="left" valign="top"><italic>&#x03B2;</italic>&#x003E;0</td>
<td align="left" valign="top">1.96&#x2009;&#x003C;&#x2009;Z&#x2009;&#x2264;&#x2009;2.58</td>
</tr>
<tr>
<td align="left" valign="top">No significant trend</td>
<td align="left" valign="top">&#x2200;<italic>&#x03B2;</italic></td>
<td align="left" valign="top">&#x2212;1.96&#x2009;&#x2264;&#x2009;Z&#x2009;&#x2264;&#x2009;1.96</td>
</tr>
<tr>
<td align="left" valign="top">Significant decrease</td>
<td align="left" valign="top"><italic>&#x03B2;</italic>&#x003C;0</td>
<td align="left" valign="top">&#x2212;2. 8&#x2009;&#x2264;&#x2009;Z&#x2009;&#x003C;&#x2009;&#x2212;1.96</td>
</tr>
<tr>
<td align="left" valign="top">Extremely significant decrease</td>
<td align="left" valign="top"><italic>&#x03B2;</italic>&#x003C;0</td>
<td align="left" valign="top">Z&#x2009;&#x003C;&#x2009;&#x2212;2.58</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec11">
<label>3.2.6.</label>
<title>WUE and NPP assessment of vegetation degradation and restoration</title>
<p>Vegetation degradation is usually accompanied by the occurrence of reduced biomass, decreased vegetation cover, increased drought-tolerant plants, and increased area of bare soil patches. NPP and WUE are used to characterize these changes. In the early degradation stage, NPP declines and plants can close stomata for physiological regulation or establish a survival advantage by increasing the area of drought-tolerant vegetation, which increases the WUE and slows the rate of NPP decline (<xref ref-type="bibr" rid="ref7">Chen et al., 2004</xref>). In the later degradation stage, with the aggravation of further drought and anthropogenic disturbance stress, vegetation NPP decreases substantially, bare soil patches begin to appear and expand, WUE decreases, and finally a desert landscape appears (<xref ref-type="bibr" rid="ref21">Horion et al., 2016</xref>). Based on this, we used NPP and WUE to assess land degradation and restoration, assuming that the path of vegetation restoration is the opposite of degradation (<xref ref-type="bibr" rid="ref19">Gang et al., 2016</xref>).</p>
</sec>
<sec id="sec12">
<label>3.2.7.</label>
<title>Division of natural vegetation and artificial vegetation</title>
<p>Based on the spatial distribution data of 1 million vegetation types in China, downloaded from the Resource and Environmental Science and Data Center of the Chinese Academy of Sciences,<xref rid="fn0004" ref-type="fn"><sup>1</sup></xref> this study defines cultivated vegetation (including farmland, economic forests, and orchards) as artificial vegetation (Arv), while vegetation other than cultivated vegetation is defined as natural vegetation (Nav).</p>
</sec>
</sec>
</sec>
<sec id="sec13" sec-type="results">
<label>4.</label>
<title>Results</title>
<sec id="sec14">
<label>4.1.</label>
<title>NPP changes in Nav and Arv</title>
<p>From 2001 to 2018, the annual average NPP of vegetation in the NAR largely showed a spatial pattern of high in the north, low in the south, high in the west, and low in the east. The Ili Valley, Tianshan Mountains, Altay Mountains, and Qilian Mountains were the high value areas of Nav NPP, with values ranging from 343.09 to 711.29&#x2009;g C&#x00B7;m<sup>&#x2212;2</sup>&#x00B7;a<sup>&#x2212;1</sup>. The Arv high value areas were relatively small in distribution and were located mainly in the Ili Valley and Qilian Mountains, with Arv NPP values ranging from 300 to 542.02&#x2009;g C&#x00B7;m<sup>&#x2212;2</sup>&#x00B7;a<sup>&#x2212;1</sup>. The southern part of the NAR was the low value area of Nav NPP, with NPP values mainly in the range of 40&#x2009;g C&#x00B7;m<sup>&#x2212;2</sup>&#x00B7;a<sup>&#x2212;1</sup>. Arv NPP low value areas were primarily in the desert-oasis transition zone in southern Xinjiang, with NPP values mostly below 42.51&#x2009;g C&#x00B7;m<sup>&#x2212;2</sup>&#x00B7;a<sup>&#x2212;1</sup> (<xref rid="fig4" ref-type="fig">Figure 4A</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Net primary productivity (NPP) of vegetation in the NAR from 2001 to 2018: (<bold>A</bold>) period-mean NPP; (<bold>B</bold>) long-term trend of NPP (1. Extremely significant decrease, 2. Significant decrease, 3. No significant change, 4. Significant rise, 5. Extremely significant rise); (<bold>C</bold>) primary factors regulating interannual variations of NPP; (<bold>D</bold>) future variation trend of NPP (1. Sustained improvement, 2. Improvement to degradation, 3. Degradation to improvement, 4. Sustained degradation, 5. Insignificant).</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g004.tif"/>
</fig>
<p>The areas of significant increase in NPP were widely distributed, with Arv clustered around oases and Nav occurring in mountainous areas (<xref rid="fig4" ref-type="fig">Figure 4B</xref>). In contrast, the mountain-oasis interface and the oasis-desert transition zone were the main areas of decrease in Nav and Arv, respectively. Climate change can explain 36.38 and 25.70% of the variations in NPP of natural and natural vegetation in the NAR, respectively. Meanwhile, precipitation was the dominant climate factor affecting variations in vegetation NPP, whereas temperature played a major role only in 4.04% (Nav) and 5.89% (Nav) of the area, respectively (<xref rid="fig4" ref-type="fig">Figure 4C</xref>).</p>
<p>To better understand the future trends of vegetation NPP in the NAR, this study conducted an overlay analysis of the vegetation NPP Hurst index and interannual variation trends, which were divided into five classes (<xref rid="fig4" ref-type="fig">Figure 4D</xref>). Except for areas with insignificant changes, continuous improvement and improvement to degradation were distributed throughout the study area and had the largest area share. The areas of continuous degradation and degradation to improvement as well as their distributions were roughly equivalent, but the distribution of degradation to improvement was more concentrated in the northern border. In general, the development trend of the Nav improvement area in the NAR is consistent with that of Arv, mainly improvement to degradation. However, the degraded area in the future period is expected to be mainly degradation to improvement in Nav and continuous degradation in Arv (<xref rid="tab3" ref-type="table">Tables 3</xref> and <xref rid="tab4" ref-type="table">4</xref>).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Assumptions of NPP and WUE trends in various stages of vegetation degradation and restoration.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Trends</th>
<th align="left" valign="top">Degradation and rehabilitation stage</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">NPP (&#x2212;); WUE (+)</td>
<td align="left" valign="top">Early degradation stage</td>
</tr>
<tr>
<td align="left" valign="top">NPP (&#x2212;); WUE (&#x2212;)</td>
<td align="left" valign="top">Late degradation stage</td>
</tr>
<tr>
<td align="left" valign="top">NPP (+); WUE (+)</td>
<td align="left" valign="top">Early rehabilitation stage</td>
</tr>
<tr>
<td align="left" valign="top">NPP (+); WUE (&#x2212;)</td>
<td align="left" valign="top">Late rehabilitation stage</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Table of future trends of vegetation in the NAR, 2001&#x2013;2018.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Sustained improvement</th>
<th align="center" valign="top">Improvement to degradation</th>
<th align="center" valign="top">Sustained degradation</th>
<th align="center" valign="top">Degradation to improvement</th>
<th align="center" valign="top">Insignificant</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Nav</td>
<td align="center" valign="top">24.18%</td>
<td align="center" valign="top">38.27%</td>
<td align="center" valign="top">3.74%</td>
<td align="center" valign="top">5.43%</td>
<td align="center" valign="top">28.39%</td>
</tr>
<tr>
<td align="left" valign="top">Arv</td>
<td align="center" valign="top">6.79%</td>
<td align="center" valign="top">8.28%</td>
<td align="center" valign="top">2.78%</td>
<td align="center" valign="top">2.44%</td>
<td align="center" valign="top">79.71%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec15">
<label>4.2.</label>
<title>WUE changes in Nav and Arv</title>
<p>During the study period, vegetation WUE and NPP exhibited similar spatial distributions. The mountainous regions of northern Xinjiang were the high value areas of Nav WUE, with multi-year mean WUE values generally above 1.29&#x2009;g C&#x00B7;mm<sup>&#x2212;1</sup>&#x00B7;a<sup>&#x2212;2</sup>. The low value areas were mainly distributed around the Kunlun Mountains, with multi-year mean WUE values mostly below 0.40&#x2009;g C&#x00B7;mm<sup>-1</sup>&#x00B7;a<sup>&#x2212;2</sup>. The oasis center was the high value area of Arv WUE, while the low value area was mainly located at the desert edge, showing a multi-year mean WUE value below 0.35&#x2009;g C&#x00B7;mm<sup>&#x2212;1</sup>&#x00B7;a<sup>&#x2212;2</sup> (<xref rid="fig5" ref-type="fig">Figure 5A</xref>). The long-term trend of Nav WUE change compared to Nav NPP shows some similarities. Areas of insignificant change in Nav NPP were the predominant type and the largest area (59.23%), while areas of increase and decrease in Nav WUE were 39 and 1.77%, respectively. Arv WUE and Arv NPP changed in the same direction with the largest area of growth covering 47.96%, followed by areas of insignificant change and decrease covering 47.90 and 4.14%, respectively. Overall, WUE changes were similar to NPP changes in northern and southern NAR, but there were some regions with different spatial trends. Nav WUE in northeastern NAR and northern Tarim Basin showed a more pronounced upward and downward trend than NPP, while WUE changes in the Qilian Mountains were not as pronounced as NPP changes in the eastern NAR region (Nav NPP). The trends in WUE and NPP suggest that the two indices respond differently to the environmental factors that cause them to change (<xref rid="fig5" ref-type="fig">Figure 5B</xref>).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Water use efficiency of natural vegetation in China&#x2019;s arid northwest region from 2001 to 2018: (<bold>A</bold>) period-mean WUE; (<bold>B</bold>) long-term trend of WUE (1. Extremely significant decrease, 2. Significant decrease, 3. No significant change, 4. Significant rise, 5. Extremely significant rise); (<bold>C</bold>) primary factors regulating interannual variations of WUE; (<bold>D</bold>) future variation trend of WUE (1. Sustained improvement, 2. Improvement to degradation, 3. Degradation to improvement, 4. Sustained degradation, 5. Insignificant).</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g005.tif"/>
</fig>
<p>Whether in reference to Nav WUE or Arv WUE, climate change explains less of the change in WUE dynamics than does NPP. Precipitation was the dominant climatic factor affecting the change in vegetation WUE in the NAR (Nav: 17.37%, Arv: 13.91%). Furthermore, the dominant role of precipitation is obvious in the Qilian Mountains. Meanwhile, temperature had less influence on vegetation WUE in the NAR (Nav. 5.89%, Arv: 2.09%), but dominated the change in WUE in southern Xinjiang (<xref rid="fig5" ref-type="fig">Figure 5C</xref>). Future trends in WUE are more pronounced than for NPP, but future trends in Nav WUE are consistent with those for Nav NPP. Arv WUE shows the opposite trend, with areas of improved Arv WUE dominated by sustained improvement (41.83%) and degraded areas dominated by sustained degradation (10.66%; <xref rid="fig5" ref-type="fig">Figure 5D</xref>).</p>
</sec>
<sec id="sec16">
<label>4.3.</label>
<title>Spatial dynamics of NPP and WUE in Nav and Arv</title>
<p>From the spatial dynamics of NPP-WUE, the Nav degradation phase of the NAR was dominated by late degradation, while the restoration phase was dominated by early restoration. It is worth noting that the area of early restoration was much larger than that of late degradation (<xref rid="fig6" ref-type="fig">Figure 6</xref>). Grasslands, shrubs, and forests showed the same trend, with late degradation and early restoration as their main contributors. Meanwhile, the percentage of early degradation and late restoration was small. Unlike other vegetation types, the restoration phase was evident in wetlands, especially the late restoration phase. Compared to Nav, Arv showed a similar trend of predominant restoration, but with a larger area of late degradation (<xref rid="fig7" ref-type="fig">Figure 7</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Spatial pattern of land degradation and restoration in the NAR.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g006.tif"/>
</fig>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Percentage contribution of each vegetation type at different stages of degradation and restoration.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g007.tif"/>
</fig>
<p>In terms of spatial distribution, the Nav restoration area was widely distributed, mainly in the central, southern, and northeastern parts of the NAR, but there was relatively concentrated distribution in the mountainous areas. Degraded areas, on the other hand, were sporadically distributed and occurred mostly in the mountain-oasis interface. The degradation phenomenon was most prominent in the Ili Valley. Meanwhile, the oasis located in the northern and southern portions of the Tianshan Mountains was the main restoration area of Arv, with degraded areas distributed in the oasis-desert transition zone in a dotted pattern. Interestingly, the oasis areas with high anthropogenic disturbance were not only the main areas of vegetation restoration, but also hot spots for serious vegetation degradation. The degradation may be related to human negligence in management and/or the cultivation area exceeding the local resource carrying capacity.</p>
</sec>
</sec>
<sec id="sec17" sec-type="discussions">
<label>5.</label>
<title>Discussion</title>
<sec id="sec18">
<label>5.1.</label>
<title>Mechanism of WUE and NPP changes</title>
<p>The factors affecting plant WUE are somewhat complex, with the primary influences comprising the photosynthesis of leaves, transpiration, and plant stomatal conductance. These factors are also related to the direct effects of species, life type, and intrinsic plant mechanisms, as well as the indirect effects of factors such as the external plant environment (climate, soil, etc.).</p>
<p>Plant transpiration (Plt) and photosynthesis (Pho) form the basis for changes in WUE. Stomata (Sto) usually act as a special channel that controls the exchange of water between air and plant body. Sto also regulate the rate of plant water consumption and carbon assimilation, which in turn has an effect on plant photosynthesis and transpiration, causing additional changes in WUE. When drought occurs, stomatal <italic>closure</italic> preferentially decreases photosynthesis, which reduces transpiration and contributes to higher plant WUE. Leaf water potential, root system, leaf nutrients (nitrogen content, etc.), specific leaf area, plant genes, and chromosome ploidy influence vegetation WUE as well (<xref ref-type="bibr" rid="ref6">Cernusak et al., 2011</xref>; <xref ref-type="bibr" rid="ref14">Fang et al., 2017</xref>).</p>
<p>WUE also varies among habitats and species. The current results of plant WUE response to climatic environment exhibit unevenness (<xref ref-type="bibr" rid="ref29">Li et al., 2017</xref>; <xref ref-type="bibr" rid="ref12">Du et al., 2021</xref>). As the research progresses and more plant species are studied, the main climatic factors derived vary; in some cases, the results of the same climatic environment even show opposite conclusions. Therefore, when considering the influence of climatic environment on plant WUE, the compound effect of multiple environments should be considered (<xref ref-type="bibr" rid="ref15">Farquhar et al., 1982</xref>; <xref ref-type="bibr" rid="ref42">Wang et al., 2010</xref>, <xref ref-type="bibr" rid="ref41">2019</xref>).</p>
<p>Factors affecting vegetation biomass and productivity can simply be divided into two categories: biotic and abiotic factors. Biotic factors include species composition and species density, while abiotic factors are those such as light, temperature, water, CO<sub>2</sub>, and soil (<xref ref-type="bibr" rid="ref25">Kamali et al., 2020</xref>; <xref ref-type="bibr" rid="ref26">Koju et al., 2020</xref>). For different ecosystems, biomass and productivity will vary due to differences in their plant species, species density, etc. Site conditions include elevation, slope, slope orientation, slope position, soil thickness and soil type, which usually act synergistically with meteorological factors to influence the growth and development of vegetation and thus biomass and productivity. Anthropogenic factors are also a non-negligible aspect and have two sides to vegetation growth (<xref ref-type="bibr" rid="ref5">Cao et al., 2020</xref>; <xref ref-type="bibr" rid="ref47">Yang et al., 2021</xref>). Overall, while these studies have improved our understanding of vegetation NPP changes, they also reveal that these changes are the result of a combination of multiple factors (<xref rid="fig8" ref-type="fig">Figure 8</xref>).</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Mechanism of WUE and NPP changes.</p>
</caption>
<graphic xlink:href="fevo-11-1131210-g008.tif"/>
</fig>
</sec>
<sec id="sec19">
<label>5.2.</label>
<title>Degradation and restoration patterns in the NAR</title>
<p>The NAR is an ecologically fragile yet important construction area for soil and water conservation in China. Given its noted vulnerability, the NAR has historically received extensive research attention. From 2001 to 2018, the region was dominated by the restoration of mountains (natural vegetation) and oases (artificial vegetation), which is consistent with the results from other studies that focused on the Tianshan Mountains (<xref ref-type="bibr" rid="ref51">Zheng et al., 2011</xref>), Altai Mountains, and oasis areas (<xref ref-type="bibr" rid="ref20">He et al., 2021</xref>). Additionally, the vegetation restoration observed in the Qilian Mountains (<xref ref-type="bibr" rid="ref55">Zuo et al., 2022</xref>) is in good agreement. This is also consistent with the increasing trend of WUE in the NAR (<xref ref-type="bibr" rid="ref46">Yang et al., 2022</xref>). In contrast, vegetation degradation was found in the transition zone around the oasis (<xref ref-type="bibr" rid="ref43">Wei et al., 2018</xref>).</p>
<p>Precipitation plays a key role in regulating changes in natural NPP and WUE. Accordingly, the different responses of vegetation to NPP and WUE are related to the pattern of gradually decreasing precipitation in the mountain range-oasis-desert system. Air temperature appears to be a major factor only in the western Qilian and Kunlun Mountains and the eastern part of the northern border. The increase in air temperature and precipitation well explains the restoration of vegetation in the eastern portion of Northern Xinjiang (<xref ref-type="bibr" rid="ref37">Shen et al., 2013</xref>). Moreover, the warming trend in the super-arid region and the high intensity of anthropogenic disturbance explain the degradation trend at the edge of the oasis (<xref ref-type="bibr" rid="ref33">Meng et al., 2020</xref>).</p>
<p>The restoration of artificial vegetation can be attributed to active vegetation restoration activities and advances in sustainable agricultural techniques, with arable land expansion being the main manifestation. Although there is an increasing trend in oasis cover, anthropogenic-induced water redistribution has also caused local degradation of oases in the northern region. Despite bringing positive ecological benefits for a short period, artificial vegetation saturates and fuels the expansion of artificial oases, causing the degradation of natural oases (<xref ref-type="bibr" rid="ref48">Zhang et al., 2020</xref>). Therefore, to improve oasis stability, relevant management authorities should further control oasis size and agricultural area.</p>
<p>Based on the evaluation framework of NPP and WUE, this study analyzed the restoration and degradation trends of natural vegetation and artificial vegetation in the arid area of northwest China, and deepened the understanding of its change mechanism. However, there is no entry analysis of their influencing factors. In future studies, breakthroughs should be made in identifying the anthropogenic and natural factors affecting vegetation recovery and degradation and their respective weights, and in-depth studies and researches should be conducted on the attribution factors affecting vegetation recovery and degradation.</p>
</sec>
</sec>
<sec id="sec20" sec-type="conclusions">
<label>6.</label>
<title>Conclusion</title>
<p>This study evaluated the degradation and restoration trends of Nav and Arv in the arid zone of northwest China, using NPP and WUE as indicators. The research also analyzed the differences between the two. Overall, the NPP and WUE trends revealed the following:</p>
<list list-type="order">
<list-item><p>Nav NPP and Arv NPP in the NAR were both dominated by significant increases, with precipitation being the main climatic factor causing their changes. Due to human activities, Arv NPP changed more than Nav NPP, and mountainous and oasis areas saw significant increases in Nav NPP and Arv NPP, respectively. Meanwhile, the relative expansion of oasis to mountains and deserts caused a decrease in Nav and Arv.</p></list-item>
<list-item><p>WUE and NPP exhibited similar spatial distributions, but climate change explained less of the dynamic changes in WUE than did NPP. Precipitation and temperature dominated the WUE changes in the Qilian Mountains and Southern Xinjiang, respectively. In the near future, Nav WUE is expected to dominate by improvement to degradation, while Arv WUE will continue to improve under human intervention.</p></list-item>
<list-item><p>Nav in the NAR is dominated by early restoration and late degradation, making the recovered area larger than the degraded area. Arv shows a similar trend, but the area of late degradation is larger than that of Nav. Early recovery and late degradation are the main trends in grassland, shrub, and forest change, while the recovery phase is more pronounced in wetlands.</p></list-item>
</list>
</sec>
<sec id="sec21" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>, further inquiries can be directed to the corresponding author/s.</p>
</sec>
<sec id="sec22">
<title>Author contributions</title>
<p>All authors made significant contributions to this study. HH and ZL provided the conceptualization. JZ and HZ framed the methodology. JZ and HH wrote and prepared the original draft. JZ and WD did the review and editing. YX and QZ oversaw the project administration. ZL was responsible for funding acquisition. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec23" sec-type="funding-information">
<title>Funding</title>
<p>This research was supported by National Key Research and Development Program (2019YFA0606902) and Natural Science Foundation of Xinjiang Uygur Autonomous Region (2021D01E02).</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="sec25" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2023.1131210/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fevo.2023.1131210/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Image_1.TIF" id="SM1" mimetype="image/tiff" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
</body>
<back>
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<def-item><term>NAR</term><def><p>The Northwest Arid Region</p></def></def-item>
<def-item><term>Arv</term><def><p>Artificial vegetation</p></def></def-item>
<def-item><term>Nav</term><def><p>Natural vegetation</p></def></def-item>
<def-item><term>MODIS</term><def><p>Moderate-resolution Imaging Spectroradiometer</p></def></def-item>
<def-item><term>NPP</term><def><p>Net primary production</p></def></def-item>
<def-item><term>P</term><def><p>Precipitation</p></def></def-item>
<def-item><term>T</term><def><p>Temperature</p></def></def-item>
<def-item><term>WUE</term><def><p>Water use efficiency</p></def></def-item>
<def-item><term>Plt</term><def><p>Plant transpiration</p></def></def-item>
<def-item><term>Pho</term><def><p>Photosynthesis</p></def></def-item>
<def-item><term>Sto</term><def><p>Stomata</p></def></def-item>
</def-list>
</glossary>
<fn-group>
<fn id="fn0004"><p><sup>1</sup><ext-link xlink:href="https://www.resdc.cn/" ext-link-type="uri">https://www.resdc.cn/</ext-link></p></fn>
</fn-group>
</back>
</article>