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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1069002</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1069002</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Changes in crop water consumption in Xinjiang of China from 1989 to 2018: A Logarithmic Mean Divisia Index decomposition analysis</article-title>
<alt-title alt-title-type="left-running-head">Li and Deng</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1069002">10.3389/fenvs.2022.1069002</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Yinbo</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/2051051/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Deng</surname>
<given-names>Mingjiang</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-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Geography and Remote Sensing Science</institution>, <institution>Xinjiang University</institution>, <addr-line>Urumqi</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>General College Key Laboratory of Smart City and Environmental Modeling</institution>, <institution>Xinjiang University</institution>, <addr-line>Urumqi</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/1032477/overview">Zengyun Hu</ext-link>, Chinese Academy of Sciences (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/1634565/overview">Junqiang Yao</ext-link>, China Meteorological Administration, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2021166/overview">Rongqin Zhao</ext-link>, North China University of Water Conservancy and Electric Power, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yinbo Li, <email>lybo2018@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmosphere and Climate, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>02</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1069002</elocation-id>
<history>
<date date-type="received">
<day>13</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Li and Deng.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Li and Deng</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>Xinjiang, located in Northwestern China, is the important production base of various crops with high water consumption. The quantitative contribution of driving factors to crop water consumption has not been investigated in Xinjiang. In this study, the Logarithmic Mean Divisia Index method is used to quantitatively analyze the effect of five factors (population, planting structure, agricultural economics, water intensity, and industrial structure) to crop water consumption during 1989&#x2013;2018. The results show that 1) crop water consumption has increased from 10.363 to 37.226&#xa0;billion&#xa0;m<sup>3</sup> with a rate of 0.932 billion&#xa0;m<sup>3</sup>/a in 1989&#x2013;2018. Its increased trend can be divided into two stages: a slow increase at a rate of 0.425 million&#xa0;m<sup>3</sup>/a in 1989&#x2013;2003 and a quick expansion at a rate of 1.310 million&#xa0;m<sup>3</sup>/a in 2004&#x2013;2018. 2) The increase of population and agricultural economics both promote crop water consumption, whereas changes in planting structure and water intensity both inhibit crop water consumption. Their contributions are 0.213, 2.068, &#x2212;0.007, and &#x2212;0.134 billion&#xa0;m<sup>3</sup>, respectively. The increased agricultural economics and the decreased water intensity more significantly changed crop water consumption in 2004&#x2013;2018 than in 1989&#x2013;2003. 3) The total effects of five factors on crops varied at each stage. All crops (except wheat) have a promoting effect on an increase in crop water consumption with the largest value in cotton (0.378 million&#xa0;m<sup>3</sup>) in 1989&#x2013;2003. The effect of the five factors on crops (except soybean and medicago) is positive (1.404 million&#xa0;m<sup>3</sup>), and the highest value is shown in cotton during 2004&#x2013;2018. The results illustrate the contribution of the five factors of crop water consumption and provide references for local agricultural water saving in Xinjiang.</p>
</abstract>
<kwd-group>
<kwd>crop water consumption</kwd>
<kwd>agricultural water management</kwd>
<kwd>Xinjiang</kwd>
<kwd>cotton</kwd>
<kwd>logarithmic mean divisia index</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The global surface temperature in 2011&#x2013;2020 is 1.09&#xb0;C warmer than in the period from 1850 to 1900, which is a level not seen since the past 125000&#xa0;years (IPCC AR6, 2021). The similar warming (0.30&#xb0;C/10a) has been recorded in the arid Xinjiang of China during 1961&#x2013;2018 (<xref ref-type="bibr" rid="B23">Yao et al., 2022</xref>). During this period, the annual mean precipitation experienced a rapid increasing trend with a rate of 9.9&#xa0;mm/10a (<xref ref-type="bibr" rid="B5">Chen et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Zhang Y. et al., 2022</xref>). In the context of warming and wetting climate, regional water resources have been significantly affected in two aspects: 1) regional temperature has increased with high-frequency oscillation in recent decades, which makes the glacier and snow melt and reduces the snowfall rate in the mountains (<xref ref-type="bibr" rid="B5">Chen et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Zhang QF. et al., 2022</xref>). Observations have shown that the snowfall rate in the Tianshan Mountains of Xinjiang has decreased from 11 to 24% before the 20th century to 9&#x2013;21% at the beginning of the 21st century, and &#x223c;97.52% of mountain glaciers are in rapid retreat (<xref ref-type="bibr" rid="B5">Chen et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Li et al., 2022</xref>). 2) The significant rise of temperature has an impact on the patterns of basin production and river flow through changing the characteristics of transport and circulation of water vapor in Xinjiang, which greatly increases the uncertainty of regional water resources at the spatial scale (<xref ref-type="bibr" rid="B23">Yao et al., 2022</xref>).</p>
<p>As an important agricultural production base in China, Xinjiang produces 65% of cotton, 56% of sugar beet, 20% of grape, 6% of pear, and 2% of grain (<xref ref-type="bibr" rid="B24">Zhang and Anadon, 2014</xref>). The vast planting area makes Xinjiang the base of various agricultural products with high water consumption (<xref ref-type="bibr" rid="B15">Li and Deng, 2021</xref>). Agricultural water in Xinjiang has accounted for more than 95% of total water consumption, but also continued to increase because of the expanding planting area after entering the 21st century (<xref ref-type="bibr" rid="B19">Shen et al., 2013</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2020</xref>). The increasing agricultural water consumption has inevitably reduced the water used for ecology, directly threatening regional ecological security and bringing potential threat to agricultural water use in the future (<xref ref-type="bibr" rid="B8">Fang et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Long et al., 2020</xref>). Therefore, it is vital to calculate the amount of crop water consumption and to investigate its influencing factors in Xinjiang. <xref ref-type="bibr" rid="B19">Shen et al. (2013)</xref> estimated irrigation water demand in the Tarim Basin, Junggar Basin, and Hexi Corridor and found that the total water consumption reached 44.2 billion&#xa0;m<sup>3</sup> and irrigation water demand in the Tarim and Junggar basins reached 20.46 billion&#xa0;m<sup>3</sup> and 17.22 billion&#xa0;m<sup>3</sup>, respectively. <xref ref-type="bibr" rid="B20">Wang et al. (2019)</xref> pointed out that the irrigation water requirement was 35.9 billion&#xa0;m<sup>3</sup> in 2010 and 47.2 billion&#xa0;m<sup>3</sup> in 2015 in the Tarim Basin. <xref ref-type="bibr" rid="B17">Li et al. (2020)</xref> found the irrigation water consumption in Xinjiang reached 38.99 billion&#xa0;m<sup>3</sup> in 2017 and blue water deficit expanded from &#x2212;11.51 billion&#xa0;m<sup>3</sup> in 2004 to &#x2b;13.26 billion&#xa0;m<sup>3</sup> in 2018. The driving factors of agricultural water consumption were also investigated in Xinjiang (<xref ref-type="bibr" rid="B8">Fang et al., 2018</xref>; <xref ref-type="bibr" rid="B20">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Zhang et al., 2019</xref>, <xref ref-type="bibr" rid="B26">2020</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2020</xref>). For example, <xref ref-type="bibr" rid="B8">Fang et al. (2018)</xref> proposed the planting structure in the Tarim Basin would lead to the increase rate of crop water requirement as high as 7.1&#xa0;mm/a, while all climatic factors (wind speed, maximum humidity, sunshine duration, and minimum temperature) would only result in an increased rate of 1.9&#xa0;mm/a. <xref ref-type="bibr" rid="B17">Li et al. (2020)</xref> pointed out that the expansion of the cotton planting area contributed 72.17% to the increase of irrigation water demand, while temperature only contributed 19.28% in Xinjiang.</p>
<p>Although many researchers have calculated crop water consumption based on the water footprint theory and revealed the possible influencing factors in Xinjiang (<xref ref-type="bibr" rid="B8">Fang et al., 2018</xref>; <xref ref-type="bibr" rid="B20">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Zhang et al., 2019</xref>, <xref ref-type="bibr" rid="B26">2020</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2020</xref>), few studies have used the method to calculate the quantitative contribution of each factor to crop water consumption. Logarithmic Mean Divisia Index (LMDI) proposed by <xref ref-type="bibr" rid="B2">Ang (2004</xref>, <xref ref-type="bibr" rid="B3">2005)</xref> has the profound theoretical foundation and high adaptability and also has significant advantages of removing residuals, modulating cross-sectional time series of data, and handling non-positive data in decomposition calculations (<xref ref-type="bibr" rid="B9">Gao and Wang, 2007</xref>). The LMDI method has been extensively utilized to quantitatively identify the effects of different factors on agricultural water demand in other regions of China (<xref ref-type="bibr" rid="B21">Xu et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Zhang et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Zhang S.L. et al., 2018</xref>; <xref ref-type="bibr" rid="B14">Li et al., 2021</xref>; <xref ref-type="bibr" rid="B25">Zhang C.J. et al., 2021</xref>), but has not been fully used in Xinjiang.</p>
<p>In this study, we investigated the quantitative contributions of five factors to crop water consumption in the interval of 1989&#x2013;2018 by decomposing the factors into population, planting structure, agricultural economics, water intensity, and industrial structure <italic>via</italic> the LMDI method in Xinjiang. Three aspects were carried out in this study. First, the general trend of crop water consumption and the changeable characters of five factors were analyzed during 1989&#x2013;2018. Second, the LMDI method was applied to quantitatively decompose the effects of the five factors influencing crop water consumption. Third, the effect of each driving factor on 11 crops was analyzed in two stages (1989&#x2013;2003 and 2004&#x2013;2018). Our work provides an important link between the selected factors for the water resource studies and provides the forward-looking information for policymakers to improve water use efficiency and alleviate water pressure of agriculture in Xinjiang.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and methods</title>
<sec id="s2-1">
<title>Study area</title>
<p>Xinjiang is the largest province in China with an area of about 166 &#xd7; 10<sup>4</sup>&#xa0;km<sup>2</sup> (<xref ref-type="fig" rid="F1">Figure 1</xref>). The regional mean annual precipitation is less than &#x223c;200&#xa0;mm, and the mean annual temperature is &#x223c;9.1&#xb0;C (<xref ref-type="bibr" rid="B15">Li and Deng, 2021</xref>). The oases are mainly situated in the piedmont plains, and their water resources primarily result from rivers originating from precipitation and melt water of glacial and snow in the mountainous regions (i.e., Tianshan, Altai, and Kunlun Mountains). The cultivated lands are distributed in the oasis regions. More than 90% of freshwater is used for agricultural irrigation in Xinjiang, which is much higher than the average level of China (<xref ref-type="bibr" rid="B15">Li and Deng, 2021</xref>). The primarily planting crops in Xinjiang are cotton, maize, wheat, rice, soybean, oil crops, sugar beet, vegetable, melons, potato, and medicago.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Distribution of farmlands and meteorological stations in Xinjiang, China.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>Data description</title>
<p>A total of 66 meteorological stations (<xref ref-type="fig" rid="F1">Figure 1</xref>) for Xinjiang were collected from the China Meteorological Administration (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>). The selected parameters include daily maximum temperature, daily minimum temperature, mean daily temperature, mean daily precipitation, wind speed, air pressure, relative humidity, and sunlight duration. The land use/cover data were downloaded from the National Land Use/Cover Dataset (NLCD) and from the Earth System Science Data Sharing Infrastructure of the Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn">http://www.resdc.cn</ext-link>). The NLCD maps (1&#xa0;km) were produced by the visual interpretation of Landsat Thematic Mapper (TM) images (<xref ref-type="bibr" rid="B22">Yang et al., 2018</xref>). The population, crop types, planting areas, crops yields, and regional GDP in 1989&#x2013;2018 were compiled from the Xinjiang Statistics Yearbook (China).</p>
</sec>
</sec>
<sec id="s3">
<title>Decomposition analysis of changes in water footprint</title>
<sec id="s3-1">
<title>Calculation of water footprint</title>
<p>The water footprint (WF) includes the blue, green, and grey water (<xref ref-type="bibr" rid="B4">Chapagain et al., 2006</xref>) and is calculated separately for 11 crops in Xinjiang. The grey water is not included because the amount of fertilizer use for each crop is not getting.<disp-formula id="e1">
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e2">Equation 2</xref>, <inline-formula id="inf7">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the crop evapotranspiration (mm/day), <inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the evapotranspiration of crop blue water, <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the evapotranspiration of crop green water, K<sub>c</sub> is the crop regulation coefficient (dimensionless), ET<sub>0</sub> is the reference crop evapotranspiration (mm/day), factor 10 is the conversion of the depth unit mm to the volume unit m<sup>3</sup> of water, A is the crop planting area, <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total evapotranspiration in the growing period of crops from the sowing date (the first day) to the harvest date, and lgP represents the number of days in the growing period.</p>
<p>
<inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is determined through comparing the <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and effective precipitation <inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> in the growing period. When <inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf16">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. When <inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>.<disp-formula id="e4">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2">
<title>Decomposition analysis of changes in water footprint</title>
<p>The LMDI approach is used to separate the effect of different factors on the changes in crop WF in Xinjiang. The population, planting structure, agricultural economics, water intensity, and industrial structure are selected as the driving factors of crop water consumption. The index decomposition of water consumption (<xref ref-type="bibr" rid="B3">Ang, 2005</xref>) is given by<disp-formula id="e6">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:munder>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
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<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:msub>
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<mml:mi mathvariant="normal">D</mml:mi>
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<mml:mi mathvariant="normal">i</mml:mi>
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<mml:mi mathvariant="normal">P</mml:mi>
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</mml:mrow>
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m26">
<mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="normal">F</mml:mi>
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<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mi mathvariant="normal">P</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<label>(7)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e6">Equation 6</xref>, W<sub>tot</sub> is the total change in crop water consumption (m<sup>3</sup>); GDP<sub>i</sub> is the real output value of crop i in Xinjiang (Yuan); <italic>p</italic> represents the rural population in Xinjiang; ADP is the total output value of agriculture, forestry, animal husbandry, and fishery in Xinjiang (Yuan); A is the per capita agricultural output value (Yuan per person); I<sub>i</sub> is the percentage of crop i output value to the total agricultural output value (%), representing the adjustment of industrial structure; C<sub>i</sub> is the percentage of the output value of crop i to total agricultural output value (%), representing the adjustment of planting structure; and S<sub>i</sub> is the water consumption divided by the output value of crop (m<sup>3</sup>/10<sup>4</sup> Yuan). <xref ref-type="disp-formula" rid="e7">Equation 7</xref> gives the effect of five factors (W<sub>P</sub>, W<sub>A</sub>, W<sub>I</sub>, W<sub>C</sub>, and W<sub>S</sub>) contributing to changes in water consumption over 30 years.</p>
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</p>
<p>In <xref ref-type="disp-formula" rid="e8">Equations 8</xref>-<xref ref-type="disp-formula" rid="e12">12</xref>, if the effect is a positive value, it means the factors promote crop water use. If the effect is a negative value, it means the factors inhibit crop water use.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>Results and discussion</title>
<sec id="s4-1">
<title>Changes in crop water consumption and their driving factors</title>
<p>The WF in Xinjiang increased from 10.363 billion&#xa0;m<sup>3</sup> to 37.226 billion&#xa0;m<sup>3</sup> with a rate of 0.932 billion&#xa0;m<sup>3</sup>/a during 1989&#x2013;2018 (<xref ref-type="fig" rid="F2">Figure 2</xref>). The increased WF comes from a growing contribution of <inline-formula id="inf20">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
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<mml:mi mathvariant="normal">n</mml:mi>
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</mml:msub>
</mml:mrow>
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</inline-formula>. In detail, it significantly increased from 8.451 billion&#xa0;m<sup>3</sup> to 32.252 billion&#xa0;m<sup>3</sup> for <inline-formula id="inf22">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
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<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and from 1.912 billion&#xa0;m<sup>3</sup> to 4.974 billion&#xa0;m<sup>3</sup> for <inline-formula id="inf23">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The ratios of <inline-formula id="inf24">
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and WF<sub>green</sub> are also changeable in the study interval: the ratio of <inline-formula id="inf25">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> increased from 87.99% to 89.85%, and that of WF<sub>green</sub> decreased from 12.01% to 10.15%. The WF during 1989&#x2013;2018 can be divided into two stages: 1989&#x2013;2003 and 2004&#x2013;2018 (<xref ref-type="fig" rid="F2">Figure 2</xref>). In 1989&#x2013;2003, the WF experienced a gradual upward trend and reached the peak at 16.661 million&#xa0;m<sup>3</sup> in 2003 with a rate of 0.425&#xa0;million m<sup>3</sup>/a. The WF witnessed a significant and faster increase at a rate of 1.310&#xa0;million m<sup>3</sup>/a during 2004&#x2013;2018.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Changes in WF of crop in Xinjiang from 1989 to 2018: the overall trend accumulated by blue and green WF.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g002.tif"/>
</fig>
<p>In terms of water consumption of different crops (<xref ref-type="fig" rid="F3">Figure 3</xref>), the water consumption of cotton is the highest and enhanced significantly from 2.323&#xa0;billion m<sup>3</sup> (20.23%) to 21.063&#xa0;billion m<sup>3</sup> (54.82%), which plays the most important role in increasing crop water consumption during 1989&#x2013;2018. The second largest increases of water consumption are maize and wheat. Their water consumption increased from 2.074 to 6.245 billion&#xa0;m<sup>3</sup> and from 3.997 to 4.564 billion&#xa0;m<sup>3</sup>, respectively. However, their ratios both decreased from 18.06% to 16.25% for maize and from 34.81% to 11.88% for wheat in the study interval. The changeable portions of water consumption for cotton, maize, and wheat lead to a decrease of other crops (rice, soybean, oil crops, sugar beet, vegetable, melons, potato, and medicago) from 26.91% to 17.04%.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Different trends in crop water use in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the crop planting scale in Xinjiang expanded by 121.42% from 1989 to 2018. Due to the increased needs for cotton and higher benefits for maize and other crops (except oil crops) than that for wheat, more cotton, maize, and other crops have been planted during 1989&#x2013;2018 in Xinjiang. The planting scales of cotton, maize, and other crops are significantly expanded, while those of wheat and oil crops are slightly reduced. The planting proportion of crops has changed accordingly (<xref ref-type="fig" rid="F5">Figure 5</xref>). The proportion of cotton consistently increased from 13.89% to 44.48% in the study period. The proportion of maize reduced from 16.43% to 13.25% during 1989&#x2013;2008 and increased from 13.25% to 17.33% during 2008&#x2013;2018. The proportion of wheat significantly decreased from 45.05% to 19.19% in the study interval. The decreased proportions of other crops from 24.46% to 19.01% are also observed in the study interval. The changes of crop planting scale directly affect the output value of crops (<xref ref-type="fig" rid="F6">Figure 6</xref>). Specifically, the percentage of cotton output shows an increased trend from 26.00% to 54.55% in the study interval, whereas that of maize slightly decreases from 10.31% to 9.46% and that of wheat significantly reduces from 30.30% to 10.01%. The ratio of output of vegetable, melons, and potato increases from 13.87% to 21.56% at the expense of other crops (rice, soybean, oil crops, sugar beet, and medicago).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Crop planting scale trends in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Percentages of crop planting scale in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Percentages of crop output in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g006.tif"/>
</fig>
<p>Being different with crop water use and crop planting scale, water footprint per output value (S) of each crop in Xinjiang experiences a decreasing trend during 1989&#x2013;2018 (<xref ref-type="fig" rid="F7">Figure 7</xref>). The water footprint per output value of sugar beet is the largest and decreases significantly by &#x2212;80.71%. The biggest drop of water footprint per output value is found in oil crops from 60036.73&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan to 3888.90&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan, whereas the smallest reduction of water footprint per output value is observed in potato from 455.01&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan to 195.88&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan. The water footprint per output value of Xinjiang quickly decreases from 227925.02&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan to 65043.19&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan in 1989&#x2013;2003 and then is followed by a slowly reduced trend from 75000.64&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan to 31672.45&#xa0;m<sup>3</sup>/10<sup>4</sup> Yuan in 2004&#x2013;2018.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Trends of crop water footprint per output value in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F8">Figure 8A</xref> shows the rural population (<italic>p</italic>) in Xinjiang increases from 9.63&#xa0;million to 13.27&#xa0;million with a rate of 0.12&#xa0;million/a during 1989&#x2013;2018. The obvious decline of population in 2005 should be related with the reform of China&#x2019;s rural household registration system [the Xinjiang Statistics Yearbook (China)], which caused a part of the rural population to become urban population. The changeable trend of per capita agricultural output value (A<sub>i</sub>) is totally similar with that of crop planting scale in the study interval (<xref ref-type="fig" rid="F8">Figure 8B</xref>). The A<sub>i</sub> slowly increases from 1172.18 Yuan to 6548.25 Yuan in 1989&#x2013;2003 and quickly increases from 7972.42 Yuan to 26,511.53 Yuan in 2004&#x2013;2018. <xref ref-type="fig" rid="F8">Figure 8C</xref> indicates that from 1989 to 1998, the percentage of the crop output value to the total agricultural output value (I<sub>i</sub>) slightly increases from 64.29% to 75.91%. From 1998 to 2003, the I<sub>i</sub> decreases from 75.91% to 61.53%. In the remaining interval (2004&#x2013;2018), the I<sub>i</sub> keeps a stable level (mean 64.14%).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Trends of population (P<sub>i</sub>), per capita agricultural output value (A<sub>i</sub>), and the percentage of crop output value to the total agricultural output value (I<sub>i</sub>) in Xinjiang from 1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g008.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Decomposition of the change in crop water consumption during 1989&#x2013;2018</title>
<p>The quantitative contributions of each driving factor to increases in crop water consumption are shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, and the factors are population (W<sub>P</sub>), planting structure (W<sub>C</sub>), agricultural economic (W<sub>A</sub>), water intensity (W<sub>S</sub>), and industrial structure (W<sub>I</sub>). During 1989&#x2013;2018, the overall trend of crop water consumption presented fluctuating increases by 0.79 billion&#xa0;m<sup>3</sup>/a in Xinjiang. The population effect results in an increase in crop water consumption of 0.21 billion&#xa0;m<sup>3</sup>. The agricultural economics is the most important promoting effect on the increase of crop water consumption, and only shows the negative values in 1993, 1999, and 2017. Its contribution and ratio are 2.07 billion&#xa0;m<sup>3</sup> and 29.35% with the obvious changes in the study interval. Specifically, the effect of agricultural economics decreases rapidly from 2.47 billion&#xa0;m<sup>3</sup> in 1989 to &#x2212;2.41 billion&#xa0;m<sup>3</sup> (the lowest value) in 1999 and then slowly increases to 4.40 billion&#xa0;m<sup>3</sup> (the highest value) in 2010 followed by a decreasing trend to 0.54 billion&#xa0;m<sup>3</sup> in 2018.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Contributions of driving factors to changes in agriculture water use in Xinjiang from1989 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g009.tif"/>
</fig>
<p>The most important inhibitor of crop water consumption is water intensity with an average contribution of &#x2212;1.21 billion&#xa0;m<sup>3</sup>. Its total effect on crop water consumption reduction accounts for 14.18% (<xref ref-type="fig" rid="F9">Figure 9</xref>). The planting structure shows an inhibiting effect with a value of &#x2212;0.13 billion&#xa0;m<sup>3</sup> and 2.13%. The inhibition and promotion effect of the industrial structure appears mutually during 1989&#x2013;2018 and shows an inhibition effect (&#x2212;0.07 billion&#xa0;m<sup>3</sup>) on the whole, accounting for 1.02% decrease in crop water consumption.</p>
</sec>
<sec id="s4-3">
<title>Decomposition of the change in crop water consumption in two stages</title>
<p>Based on the changeable feature of crop water consumption in Xinjiang during 1989&#x2013;2018, the study interval is classified into two stages (1989&#x2013;2003 and 2004&#x2013;2018). Through the analysis of the LMDI method, the effects of five driving factors for each crop are analyzed in two stages (<xref ref-type="fig" rid="F10">Figure 10</xref> and <xref ref-type="fig" rid="F11">Figure 11</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Decomposition analysis of changes in WF of different crops from 1989 to 2003. Note: the explored pie chart represents contribution of different crop WF; the table lists the results of LMDI factor decomposition for different crops.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Decomposition analysis of changes in WF of different crops from 2004 to 2018. Note: the explored pie chart represents contribution of different crop WF; the table lists the results of LMDI factor decomposition for different crops.</p>
</caption>
<graphic xlink:href="fenvs-10-1069002-g011.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> presents the crop water consumption slowly raised from 10.363 billion&#xa0;m<sup>3</sup> to 16.661 billion&#xa0;m<sup>3</sup> in 1989&#x2013;2003. According to the result of the LMDI analysis, population and agricultural economics are the main determinations that promote crop water consumption, while planting structure, water intensity, and industrial structure mainly inhibit an increase of crop water consumption in this stage. The effect values of population and agricultural economics are 0.216 and 1.579 billion&#xa0;m<sup>3</sup> in this stage, and these two factors show a promoting effect on 11 crops. Cotton, wheat, and maize have the highest effect of population and agricultural economics and their values are 0.078 and 0.551 billion&#xa0;m<sup>3</sup> for cotton, 0.051 and 0.366 billion&#xa0;m<sup>3</sup> for wheat, 0.043 and 0.243 billion&#xa0;m<sup>3</sup> for maize, respectively. The inhibited effects of planting structure, water intensity, and industrial structure are &#x2212;0.074, -0.106, and -1.176 billion&#xa0;m<sup>3</sup>, respectively. It should be noted that the three factors have significant different effects on 11 crops in this stage. Specifically, the industrial structure has an inhibitory effect on all crops (except wheat) and the maximum effect is &#x2212;0.045 billion&#xa0;m<sup>3</sup> in cotton. The planting structure shows an inhibitory effect on corn, wheat, rice, sugar beet, and vegetables, and the maximum inhibitory effect is found in wheat (&#x2212;0.226 billion&#xa0;m<sup>3</sup>). The promoting effect of planting structure is showed in other crops and the maximum value is 0.262 billion&#xa0;m<sup>3</sup> for cotton. The water intensity also plays an inhibitory role on all crops except vegetables and the maximum effect also appeared in cotton with a value of &#x2212;0.469 billion&#xa0;m<sup>3</sup>. An intimate calculation of 11 crops indicates that most crops (except wheat: 0.126 million&#xa0;m<sup>3</sup> and &#x2212;18.25%) result in an increase in crop water consumption with the largest value in cotton (0.378 million&#xa0;m<sup>3</sup> and 54.70%). To sum up, the combined effects of five factors for 11 crops lead to a slow increase in crop water consumption during 1989&#x2013;2003.</p>
<p>
<xref ref-type="fig" rid="F11">Figure 11</xref> shows that the crop water consumption in Xinjiang quickly increases by 16.649 million&#xa0;m<sup>3</sup> during 2004&#x2013;2018. A comparison of five driving factors in this interval indicates that population and agricultural economics still promote an increase of crop water consumption. The contribution of population and agricultural economics is 0.211 and 2.525 million&#xa0;m<sup>3</sup>. The contribution of population in this stage is basically consistent with that in 1989&#x2013;2003, while the contribution of agricultural economics in 2004&#x2013;2018 is more significant than that in 1989&#x2013;2003. Being different with the interval of 1989&#x2013;2003, the industrial structure in 2004&#x2013;2018 turns to a promoting factor on crop water consumption and its contribution is 0.055 million&#xa0;m<sup>3</sup>. The planting structure and water intensity also play an inhabiting factor in 2004&#x2013;2018. The effect of water intensity (&#x2212;1.245 billion&#xa0;m<sup>3</sup>) is higher than that of the planting structure (&#x2212;0.160 billion&#xa0;m<sup>3</sup>), both being higher than that in 1989&#x2013;2003. Therefore, agricultural economics and water intensity of crops play an important role in promoting and inhibiting crop water consumption in Xinjiang. In terms of five effects on 11 crops, population and agricultural economics also have promoting effects on 11 crops. Cotton, maize, and wheat have the highest effects of population and agricultural economics and their effects for three crops are 0.1 and 1.163 billion&#xa0;m<sup>3</sup> for cotton, 0.032 and 0.384 billion&#xa0;m<sup>3</sup> for maize, 0.033 and 0.374 billion&#xa0;m<sup>3</sup> for wheat, respectively. The maximum promoting contribution of industrial structure appears in cotton and its effect is 0.029 billion&#xa0;m<sup>3</sup>. The inhibitory effects of planting structure and water intensity on crop types are significantly different. In detail, the planting structure only promotes cotton and potato with values of 0.454 billion&#xa0;m<sup>3</sup> and 0.002 billion&#xa0;m<sup>3</sup>, respectively. The planting structure inhibits water consumption for other crops with higher values in wheat (&#x2212;0.177 billion&#xa0;m<sup>3</sup>), corn (&#x2212;0.110 billion&#xa0;m<sup>3</sup>), oil crops (&#x2212;0.129 billion&#xa0;m<sup>3</sup>), and vegetables (&#x2212;0.139 billion&#xa0;m<sup>3</sup>). The water intensity has inhibitory effects on other crops (except vegetables and melons) and its effect on other crops (cotton, maize, wheat, rice, soybean, oil crops, sugar beet, potato, and medicago) are &#x2212;0.849, &#x2212;0.064, &#x2212;0.084, &#x2212;0.023, &#x2212;0.014, &#x2212;0.007&#x2013;0.017, &#x2212;0.014, and &#x2212;0.125 billion&#xa0;m<sup>3</sup>, respectively. The total effect of five driving factors on crops (except soybean and medicago) is positive and the highest value is showed in cotton. These factors lead to a rapid increase of crop water consumption in 2004&#x2013;2018. We can see from the effects of five driving factors on 11 crops in two stages (1989&#x2013;2003 and 2004&#x2013;2018), the most obvious feature is an increased proportion of cotton (54.70%&#x2013;63.06%) and maize (4.25%&#x2013;17.63%). Conversely, the proportion of wheat decreases significantly from 18.25% to 10.94% (<xref ref-type="fig" rid="F10">Figure 10</xref> and <xref ref-type="fig" rid="F11">Figure 11</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>Based on the aforementioned analysis, agricultural economics is an important promoting factor for increasing crop water consumption in Xinjiang. Because there is a positive correlation between agricultural GDP and crop water consumption, the rapid growth of agricultural economy will inevitably consume a lot of water resources. Water intensity has a moderate inhibiting effect on crop water consumption, indicating an increase of agricultural machinery input in the study period promotes the rational use of crop water consumption. The effects of agricultural economics and water intensity are more dramatic in 2004&#x2013;2018 than in 1989&#x2013;2003 (<xref ref-type="fig" rid="F9">Figure 9</xref>). Population has a promoting effect on crop water consumption in the study period, and the reform of household registration system in China does not affect its effect. The rapid growth of rural population in Xinjiang results in the increasing demand of crops and water in the study interval (<xref ref-type="bibr" rid="B7">Davies and Simonovic, 2011</xref>; <xref ref-type="bibr" rid="B21">Xu et al., 2015</xref>). The contribution of industrial structure shifts from a moderate inhibiting effect in 1989&#x2013;2003 to a promoting effect in 2004&#x2013;2018, which indicate the percentage change of planting industry in the total output value of agriculture, forestry, animal husbandry, and fishery which promotes water resource consumption in Xinjiang. The effect of industrial structure on crop water resources is relatively weak during 1989&#x2013;2018, being consistent with the similar study in Urumqi city (<xref ref-type="bibr" rid="B31">Zhang et al., 2015</xref>). The crop planting structure also has a weak and inhibitory effect on water resource consumption. It means that the crop planting structure is relatively reasonable due to the adjustment of planting area in different prefectures in the condition of expanded planting area of Xinjiang. Overall, the LMDI decomposition approach is proved to be convincing to investigate the driving factors of crop water consumption in Xinjiang during 1989&#x2013;2018.</p>
<p>Our results are consistent with the similar studies in the Hexi Corridor (Hei, Shiyan, and Shule River) by <xref ref-type="bibr" rid="B11">Han (2017)</xref> who found agricultural economics and water intensity significantly promotes and inhibits the increase of agricultural water demand during 1991&#x2013;2013. The population is the factor that contributes the least absolute value. The industrial structure effect contributed to increasing crop water demand is shown not only in Xinjiang, Shiyang, and the Hei River Basin (<xref ref-type="bibr" rid="B11">Han, 2017</xref>) but also in whole China (<xref ref-type="bibr" rid="B14">Li et al., 2021</xref>). The effect of crop planting structure contributed to saving crop water in Xinjiang and the Hexi Corridor (<xref ref-type="bibr" rid="B11">Han, 2017</xref>), which was confirmed by <xref ref-type="bibr" rid="B14">Li et al. (2021)</xref> and <xref ref-type="bibr" rid="B21">Xu et al. (2015)</xref> using the LMDI method and <xref ref-type="bibr" rid="B32">Zhang et al. (2012)</xref> <italic>via</italic> the structural decomposition analysis (SDA). Although the crop planting structure had a relatively low contribution to saving water in current studies (<xref ref-type="bibr" rid="B11">Han, 2017</xref>; <xref ref-type="bibr" rid="B14">Li et al., 2021</xref>), studies have shown that planting structure may be the main driving force for increasing food demand (<xref ref-type="bibr" rid="B13">Kastner et al., 2012</xref>) and water demand for agriculture in the future. Therefore, there is great potential to decrease agricultural water demand by adjusting the planting structures converting the crops with high-water consumption into the crops with low-water consumption (<xref ref-type="bibr" rid="B14">Li et al., 2021</xref>). In addition, one important shortcoming is shown from the analysis of driving factors of crop water consumption in Xinjiang and other regions of China (<xref ref-type="bibr" rid="B21">Xu et al., 2015</xref>; <xref ref-type="bibr" rid="B11">Han, 2017</xref>; <xref ref-type="bibr" rid="B14">Li et al., 2021</xref>). The LMDI method is mainly based on the correlation analysis and the specific processes of crop water consumption are not clear. Subsequent research should distinguish the respective influence of grain crops and commercial crops on agricultural water consumption to reveal the internal driving factors of agricultural water consumption more comprehensively. The specific content of each driving factors and the related mechanism can be taken into account to further explore the driving factors for agricultural water consumption in Xinjiang (<xref ref-type="bibr" rid="B14">Li et al., 2021</xref>).</p>
</sec>
<sec id="s6">
<title>Conclusion and implication</title>
<p>In this study, we investigated the changeable trend of crop water consumption in 1989&#x2013;2018 and applied the LMDI method to quantitatively identify the contribution of main factors (population, planting structure, agricultural economics, water intensity, and industrial structure) for 11 crops. The underlying effects on crop water consumption were further explored, and the related results are totally consistent with the actual situation in Xinjiang. Our finding is of significance to water resource management and also proves the LMDI method is effective to quantify contributions of determined factors affecting water consumption of crops in Xinjiang of China.</p>
<p>Considering the agricultural economics promoting the crop water consumption, it is not feasible to reduce crop water consumption by lowering the agricultural GDP. The contribution of industrial structure is not notable. We should pay more attention on the planting structure to reduce crop water consumption. However, its effect is relatively weak in the modern planting structure. The government should take measures to optimize crop planting structure within a reasonable range to slow the increase in crop water consumption. Our results provide a scientific basis for farmer and government management to select the suitable planting crops.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>YL and MD designed this study, YL conducted the data calculation and wrote the first draft, YL and MD reviewed and edited the final draft, and all authors contributed to the interpretation of results.</p>
</sec>
<ack>
<p>The authors thank the reviewers for their valuable comments, which significantly improved the manuscript. They also acknowledge the data support from the National Earth System Science Data Center, National Science and Technology Infrastructure of China (<ext-link ext-link-type="uri" xlink:href="http://www.geodata.cn">http://www.geodata.cn</ext-link>).</p>
</ack>
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Allen</surname>
<given-names>R. G.</given-names>
</name>
<name>
<surname>Pereira</surname>
<given-names>L. S.</given-names>
</name>
<name>
<surname>Raes</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1998</year>). <source>Crop evapotranspiration guidelines for computing crop water requirements-FAO irrigation and drainage Paper 56</source>. <publisher-loc>Rome</publisher-loc>: <publisher-name>Food and Agriculture Organization</publisher-name>.</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ang</surname>
<given-names>B. W.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Decomposition analysis for policymaking in energy:</article-title>. <source>Energy policy</source> <volume>32</volume> (<issue>9</issue>), <fpage>1131</fpage>&#x2013;<lpage>1139</lpage>. <pub-id pub-id-type="doi">10.1016/s0301-4215(03)00076-4</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ang</surname>
<given-names>B. W.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>The LMDI approach to decomposition analysis: A practical guide</article-title>. <source>Energy policy</source> <volume>33</volume> (<issue>7</issue>), <fpage>867</fpage>&#x2013;<lpage>871</lpage>. <pub-id pub-id-type="doi">10.1016/j.enpol.2003.10.010</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chapagain</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Hoekstra</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Savenije</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Gautam</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>The water footprint of cotton consumption: An assessment of the impact of worldwide consumption of cotton products on the water resources in the cotton producing countries</article-title>. <source>Ecol. Econ.</source> <volume>60</volume>, <fpage>186</fpage>&#x2013;<lpage>203</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolecon.2005.11.027</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>Y. N.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>G. H.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>H. J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Impact of climate change on water resources in the tianshan mountians, central asia</article-title>. <source>Acta Geogr. Sin.</source> <volume>72</volume> (<issue>1</issue>), <fpage>18</fpage>&#x2013;<lpage>26</lpage>.</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cheng</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Uncertainties of soil moisture in historical simulations and future projections</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>122</volume> (<issue>4</issue>), <fpage>2239</fpage>&#x2013;<lpage>2253</lpage>. <pub-id pub-id-type="doi">10.1002/2016jd025871</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Davies</surname>
<given-names>E. G. R.</given-names>
</name>
<name>
<surname>Simonovic</surname>
<given-names>S. P.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Global water resources modeling with an integrated model of the social economic environmental system</article-title>. <source>Adv. Water Resour.</source> <volume>34</volume>, <fpage>684</fpage>&#x2013;<lpage>700</lpage>. <pub-id pub-id-type="doi">10.1016/j.advwatres.2011.02.010</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Variation in agricultural water demand and its attributions in the arid Tarim River Basin</article-title>. <source>J. Agric. Sci.</source> <volume>156</volume> (<issue>3</issue>), <fpage>301</fpage>&#x2013;<lpage>311</lpage>. <pub-id pub-id-type="doi">10.1017/s0021859618000357</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>The decomposition analysis of change of energy consumption for production in China</article-title>. <source>Stat. Res.</source> <volume>24</volume> (<issue>3</issue>), <fpage>52</fpage>&#x2013;<lpage>57</lpage>.</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Risk assessment of regional irrigation water demand and supply in an arid inland river basin of northwestern China</article-title>. <source>Sustainability</source> <volume>7</volume> (<issue>9</issue>), <fpage>12958</fpage>&#x2013;<lpage>12973</lpage>. <pub-id pub-id-type="doi">10.3390/su70912958</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Han</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>A study on the influential factors of water requirement of crops in Hexi region and the optimal distribution of water resources</article-title>,&#x201d; (<publisher-loc>Lanzhou</publisher-loc>: <publisher-name>Lanzhou University</publisher-name>). <comment>Doctoral dissertation</comment>.</citation>
</ref>
<ref id="B12">
<citation citation-type="book">
<collab>IPCC AR6</collab> (<year>2021</year>). <source>Climate change 2021: The physical science basis</source>.</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kastner</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Rivas</surname>
<given-names>M. J. I.</given-names>
</name>
<name>
<surname>Koch</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Nonhebel</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Global changes in diets and the consequences for land requirements for food</article-title>. <source>Proc. Natl. Acad. Sci. U. S. A.</source> <volume>109</volume> (<issue>18</issue>), <fpage>6868</fpage>&#x2013;<lpage>6872</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.1117054109</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>T. T.</given-names>
</name>
<name>
<surname>Luan</surname>
<given-names>X. B.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>Y. L.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>P. T.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y. B.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Determinants of agricultural water demand in China</article-title>. <source>J. Clean. Prod.</source> <volume>288</volume>, <fpage>125508</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2020.125508</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>M. J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Spatiotemporal variations of agricultural water footprint and its economic benefits in Xinjiang, northwestern China</article-title>. <source>Sci. Rep.</source> <volume>11</volume>, <fpage>23864</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-021-03240-9</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Duan</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>The continuing shrinkage of snow cover in High Mountain Asia over the last four decades</article-title>. <source>Sci. Bull.</source> <volume>67</volume> (<issue>20</issue>), <fpage>2064</fpage>&#x2013;<lpage>2068</lpage>. <pub-id pub-id-type="doi">10.1016/j.scib.2022.09.012</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wufu</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Estimation of regional irrigation water requirements and water balance in Xinjiang, China during 1995-2017</article-title>. <source>PeerJ</source> <volume>7</volume>, <fpage>e8243</fpage>. <pub-id pub-id-type="doi">10.7717/peerj.8243</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Long</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Hai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Spatio-temporal variations of crop water footprint and its influencing factors in Xinjiang, China during 1988&#x2013;2017</article-title>. <source>Sustainability</source> <volume>12</volume> (<issue>22</issue>), <fpage>9678</fpage>. <pub-id pub-id-type="doi">10.3390/su12229678</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Estimation of regional irrigation water requirement and water supply risk in the arid region of Northwestern China 1989&#x2013;2010</article-title>. <source>Agric. Water Manag.</source> <volume>128</volume>, <fpage>55</fpage>&#x2013;<lpage>64</lpage>. <pub-id pub-id-type="doi">10.1016/j.agwat.2013.06.014</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Assessment of the irrigation water requirement and water supply risk in the Tarim River Basin, Northwest China</article-title>. <source>Sustainability</source> <volume>11</volume> (<issue>18</issue>), <fpage>4941</fpage>. <pub-id pub-id-type="doi">10.3390/su11184941</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Changes in water footprint of crop production in beijing from 1978 to 2012: A logarithmic mean divisia index decomposition analysis</article-title>. <source>J. Clean. Prod.</source> <volume>87</volume>, <fpage>180</fpage>&#x2013;<lpage>187</lpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2014.08.103</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhan</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Mo</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Estimation of water consumption for ecosystems based on vegetation interfaces processes model: A case study of the aksu River Basin, northwest China</article-title>. <source>Sci. Total Environ.</source> <volume>613-614</volume>, <fpage>186</fpage>&#x2013;<lpage>195</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2017.09.045</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yao</surname>
<given-names>J. Q.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y. N.</given-names>
</name>
<name>
<surname>Guan</surname>
<given-names>X. F.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Recent climate and hydrological changes in a mountain-basin system in Xinjiang, China</article-title>. <source>Earth. Sci. Rev.</source> <volume>226</volume>, <fpage>103957</fpage>. <pub-id pub-id-type="doi">10.1016/j.earscirev.2022.103957</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Anadon</surname>
<given-names>L. D.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>A multi-regional input&#x2013;output analysis of domestic virtual water trade and provincial water footprint in China</article-title>. <source>Ecol. Econ.</source> <volume>100</volume>, <fpage>159</fpage>&#x2013;<lpage>172</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolecon.2014.02.006</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Chiu</surname>
<given-names>Y. H.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Can China achieve its water use peaking in 2030? A scenario analysis based on LMDI and Monte Carlo method</article-title>. <source>J. Clean. Prod.</source> <volume>278</volume>, <fpage>123214</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2020.123214</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Long</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Hai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>X. Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The spatiotemporal variations and the driving forces of agricultural water consumption in Xinjiang (1988-2015): Based on the statistical analysis of crop water footprint</article-title>. <source>J. Glaciol. Geocryol.</source> <volume>42</volume> (<issue>2</issue>). <pub-id pub-id-type="doi">10.7522/j.issn.1000-0240.2018.1058</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Structure dynamics and risk assessment of water-energy-food nexus: A water footprint approach</article-title>. <source>Sustainability</source> <volume>11</volume> (<issue>4</issue>), <fpage>1187</fpage>. <pub-id pub-id-type="doi">10.3390/su11041187</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Q. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y. N.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Recent changes in glaciers in the northern tien Shan, central asia</article-title>. <source>Remote Sens.</source> <volume>14</volume> (<issue>12</issue>), <fpage>2878</fpage>. <pub-id pub-id-type="doi">10.3390/rs14122878</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Singh</surname>
<given-names>V. P.</given-names>
</name>
<name>
<surname>Ayantobo</surname>
<given-names>O. O.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Logarithmic mean divisia index (LMDI) decomposition analysis of changes in agricultural water use: A case study of the middle reaches of the heihe River Basin, China</article-title>. <source>Agric. Water Manag.</source> <volume>208</volume>, <fpage>422</fpage>&#x2013;<lpage>430</lpage>. <pub-id pub-id-type="doi">10.1016/j.agwat.2018.06.041</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>An</surname>
<given-names>C. B.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>L. Y.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>W. S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>High-elevation landforms are experiencing more remarkable wetting trends in arid Central Asia</article-title>. <source>Adv. Clim. Change Res.</source> <volume>13</volume> (<issue>4</issue>), <fpage>489</fpage>&#x2013;<lpage>495</lpage>. <pub-id pub-id-type="doi">10.1016/j.accre.2022.04.007</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Y. F.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>D. G.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y. X.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Analyses of the changing process and influencing factors of water resource utilization in megalopolis of arid area</article-title>. <source>Water Resour.</source> <volume>42</volume> (<issue>5</issue>), <fpage>712</fpage>&#x2013;<lpage>720</lpage>. <pub-id pub-id-type="doi">10.1134/s0097807815050176</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Understanding beijing&#x2019;s water challenge: A decomposition analysis of changes in beijing&#x2019;s water footprint between 1997 and 2007</article-title>. <source>Environ. Sci. Technol.</source> <volume>46</volume> (<issue>22</issue>), <fpage>12373</fpage>&#x2013;<lpage>12380</lpage>. <pub-id pub-id-type="doi">10.1021/es302576u</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>