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<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">1251789</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1251789</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Spatiotemporal changes and driving factors of reference evapotranspiration and crop evapotranspiration for cotton production in China from 1960 to 2019</article-title>
<alt-title alt-title-type="left-running-head">Su et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2023.1251789">10.3389/fenvs.2023.1251789</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Su</surname>
<given-names>Yuexia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Wang</surname>
<given-names>Jian</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Junhong</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Lizhi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Kunfeng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Ao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Zhanbiao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/934441/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Huaiyin Normal University School of Economics and Management</institution>, <addr-line>Huaiyin</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>State Key Laboratory of Cotton Biology</institution>, <institution>Institute of Cotton Research of the Chinese Academy of Agricultural Sciences</institution>, <addr-line>Anyang</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Western Agricultural Research Center</institution>, <institution>Chinese Academy of Agricultural Sciences</institution>, <addr-line>Changji</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/2225827/overview">Budi Indra Setiawan</ext-link>, IPB University, Indonesia</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/1576064/overview">Adnan Abbas</ext-link>, Nanjing University of Information Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1944930/overview">Rudiyanto Rudiyanto</ext-link>, University of Malaysia Terengganu, Malaysia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lei Gao, <email>gaolei01@caas.cn</email>; Zhanbiao Wang, <email>wang_zhanbiao@126.com</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work.</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1251789</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Su, Wang, Li, Wang, Wang, Li, Gao and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Su, Wang, Li, Wang, Wang, Li, Gao and Wang</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>
<bold>Introduction:</bold> Understanding and tracking changes in crop water requirements is crucial for effective irrigation, water planning, and future decisions. Determining the reference evapotranspiration (ET<sub>O</sub>) and crop evapotranspiration (ET<sub>C</sub>) of China cotton is essential for water resource management.</p>
<p>
<bold>Methods:</bold> This study analyzed the spatiotemporal changes in ET<sub>O</sub> and ET<sub>C</sub> at 248 standard stations in cotton production regions of China from 1960 to 2019, and the ET<sub>O</sub> and ET<sub>C</sub> of each station were quantified by using the CropWat 8.0 and non-parametric Mann-Kendall test. The impacts of climate change on ET<sub>O</sub> and ET<sub>C</sub> were evaluated by analyzing the contribution rate and sensitivity coefficient of climate change.</p>
<p>
<bold>Discussion:</bold> The results revealed distinct distributions of ET<sub>O</sub> and ET<sub>C</sub> across various growth stages and spatial scales in the cotton production regions of China. In the Huanghe Valley, the rate of decline for ET<sub>O</sub> decreased from 787.23&#xa0;mm to 769.84&#xa0;mm, while in the Yangtze Valley cotton region, it decreased from 749.19&#xa0;mm to 735.01&#xa0;mm. Similarly, in the Northwest inland cotton regions, the rate of decline for ET<sub>O</sub> reduced from 991.19&#xa0;mm to 982.70&#xa0;mm. As for ET<sub>C</sub>, the rate of decline decreased from 677.62&#xa0;mm to 654.33&#xa0;mm in the Huanghe Valley, from 653.02&#xa0;mm to 625.50&#xa0;mm in the Yangtze Valley, and from 916.25&#xa0;mm to 886.74&#xa0;mm in the Northwest inland cotton regions. ET<sub>O</sub> was highly sensitive to maximum air temperature (T<sub>max</sub>), followed by relative humidity (RH), sunshine duration (SD), wind speed at 2&#xa0;m height (WS), and minimum air temperature (T<sub>min</sub>). WS was the most influential climate variable associated with ET<sub>O</sub> change, followed by T<sub>max</sub>, SD, RH, and T<sub>min</sub>. Significant declines in WS and SD were indicated in the decrease in ET<sub>O</sub> in the Huanghe Valley and Yangtze Valley cotton regions. WS showed a significant decrease in ET<sub>O</sub> in the northwestern inland cotton region. However, decreased RH and increased temperature commonly reversed the trend of ET<sub>O</sub> from 2000 to 2019, and the northwestern inland cotton region had the most significant upward trend. Amidst high temperatures and drought stress, the irrigation needs of cotton were rising, posing a significant threat to both cotton production and water resources.</p>
</abstract>
<kwd-group>
<kwd>reference evapotranspiration</kwd>
<kwd>crop evapotranspiration</kwd>
<kwd>spatiotemporal variability</kwd>
<kwd>FAO-56 Penman-Monteith</kwd>
<kwd>sensitivity and contribution rate analysis</kwd>
<kwd>Chinese cotton</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Interdisciplinary Climate Studies</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Agriculture stands as the predominant consumer of water resources, comprising roughly 70% of global water usage (<xref ref-type="bibr" rid="B37">Rockstrom, 2004</xref>). This vital sector also faces vulnerability to the looming threat of climate change due to GHG emissions (<xref ref-type="bibr" rid="B1">Abbas et al., 2022a</xref>; <xref ref-type="bibr" rid="B7">Elahi et al., 2022a</xref>; <xref ref-type="bibr" rid="B2">Abbas et al., 2022b</xref>; <xref ref-type="bibr" rid="B8">Elahi et al., 2022b</xref>). In 2021, the Sixth Assessment Report of the Intergovernmental Panel on Climate Change (IPCC) identified the urgent need to address climate change (<xref ref-type="bibr" rid="B43">Veal, 2021</xref>). Climate change has affected global agriculture and food production (<xref ref-type="bibr" rid="B50">Zhang et al., 2019</xref>; <xref ref-type="bibr" rid="B33">Ortiz-Bobea et al., 2021</xref>). Therefore, it is necessary to study the impact of climate change on crop production and propose coping strategies. Reference evapotranspiration (ET<sub>O</sub>) and crop evapotranspiration (ET<sub>C</sub>) are major components of the regional and global hydrological cycle. Between them, ET<sub>O</sub> is a key parameter for evaluating the degree of climate dryness and wetness and estimating crop water demand and crop production potential (<xref ref-type="bibr" rid="B20">Sananda et al., 2017</xref>), and ET<sub>C</sub> is an important index for managing agriculture and monitoring crop growth (<xref ref-type="bibr" rid="B19">Jin et al., 2017</xref>). Climate change affects the physiological characteristics of the crop mainly by influencing ETo and ETc, and ultimately agricultural production (<xref ref-type="bibr" rid="B13">Hoekstra et al., 2011</xref>; <xref ref-type="bibr" rid="B15">Irmak et al., 2012</xref>). Understanding the spatial and temporal evolution of ET<sub>O</sub> in the growing season is the initial step in calculating regional crop evapotranspiration and irrigation water planning (<xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>) and has important implications for agricultural irrigation water use and the assessment of crop water stress in agroecosystems (<xref ref-type="bibr" rid="B44">Walter et al., 2000</xref>).</p>
<p>Previous studies have shown that the whole change trend of ETO has decreased in recent decades from a global perspective, while an increasing ETO has been reported in some areas since the 1980s (<xref ref-type="bibr" rid="B38">Roderick and Farquhar, 2002</xref>; <xref ref-type="bibr" rid="B20">Sananda et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Zeng et al., 2021</xref>), for example, Iran and some Mediterranean countries (<xref ref-type="bibr" rid="B42">Tabari et al., 2012</xref>; <xref ref-type="bibr" rid="B29">Masia et al., 2021</xref>). The changes in ETO and ETC have certain regional differences in China, but most regions show a downward trend (<xref ref-type="bibr" rid="B14">HU et al., 2017</xref>; <xref ref-type="bibr" rid="B17">Jia et al., 2019</xref>; <xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>). The emergence of this phenomenon has attracted a large number of scholars to explore its causes. However, due to the differences in geographical location and climatic conditions, different researchers have different explanations. <xref ref-type="bibr" rid="B18">Jiang et al. (2019)</xref> reported that relative humidity (RH) is the most sensitive climate variable to ETO, followed by sunshine duration (SD), maximum air temperature (T<sub>max</sub>), minimum air temperature (T<sub>min</sub>), and wind speed at 2&#xa0;m height (WS) in Southwest China, which is consistent with the research of <xref ref-type="bibr" rid="B9">Fan et al. (2016)</xref> in China&#x2019;s plain and hilly areas and <xref ref-type="bibr" rid="B51">Zuo et al. (2012)</xref> in the Weihe River basin, China. WS and SD were the most important factors affecting ETO and were recognized by most scholars (<xref ref-type="bibr" rid="B6">Dinpashoh et al., 2011</xref>; <xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>). T<sub>max</sub> had also been shown to play a crucial role (<xref ref-type="bibr" rid="B42">Tabari et al., 2012</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2017</xref>). The above research was helpful to better understand the impact of climate change on ET<sub>O</sub> and ET<sub>C</sub>. However, most previous studies focused on the annual or seasonal scale (<xref ref-type="bibr" rid="B21">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2017</xref>). Relatively few studies have been performed on crops, especially cotton.</p>
<p>Cotton is an important economic fiber crop, a raw material for the textile industry, and an important strategic commodity (<xref ref-type="bibr" rid="B3">Adhikari et al., 2017</xref>). China, a large cotton producer, accounts for 25.4% of global production and has maintained a 34-year unit yield, ranking first among global cotton-producing countries (<xref ref-type="bibr" rid="B28">Mao et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Jans et al., 2021</xref>). However, climate change challenges cotton growth and irrigation water requirements (<xref ref-type="bibr" rid="B5">Bange et al., 2016</xref>; <xref ref-type="bibr" rid="B16">Jans et al., 2021</xref>). Studies have shown that global warming increases the evapotranspiration demand of cotton plants, resulting in stronger water pressure (<xref ref-type="bibr" rid="B12">Hall, 2001</xref>). In the current research landscape, limited attention has been given to the comprehensive investigation of the spatiotemporal variability of water requirements for cotton cultivation in China. Consequently, this study aims to elucidate the spatiotemporal variation of both ETO and ETC in Chinese cotton. Additionally, the research seeks to identify the climatic factors that act as drivers influencing this variability. The insights gained from this study can provide valuable guidance for cotton production management and the rational allocation of water resources.</p>
<p>To achieve these objectives, we employ the following methodologies. Firstly, we quantify the spatial variability of ET<sub>O</sub> and ET<sub>C</sub>, as well as relevant climatic factors using the FAO56-Penman-Monteith equation through the CropWat 8.0 software. Secondly, we extract the temporal trends of ET<sub>O</sub>, ET<sub>C</sub>, and climatic factors using non-parametric Mann-Kendall test methods. Thirdly, we investigate the sensitivity of ET<sub>O</sub> to changes in various climatic variables at different growth stages, employing the sensitivity coefficient method. Lastly, we explore the contribution of climatic variables to the spatiotemporal variation of ET<sub>O</sub> using a sensitivity analysis. These well-defined methodologies provide a robust foundation for our study, allowing for comprehensive insights into the water pressure on Chinese cotton cultivation and its correlation with climate variations. Through the rigorous application of these methods, the outcomes of this study are poised to facilitate informed decision-making in cotton production management and promote the judicious allocation of precious water resources in the agricultural sector.</p>
</sec>
<sec id="s2">
<title>2 Data and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>China has a vast cotton region. Cotton is cultivated within 20&#xb0;&#x2013;46&#xb0;N and 76&#xb0;&#x2013;124&#xb0;E. There are three dominant cotton-producing regions in the country, namely, the Yangtze Valley cotton region (a subtropical monsoon climate), the Huanghe Valley cotton region (a temperate monsoon climate predominates), and the northwestern inland cotton region (a temperate continental climate). The Northwestern inland cotton region includes three subregions: the Eastern Xinjiang subregion, the Southern Xinjiang subregion, and the Northern Xinjiang subregion. The spatial distribution of China&#x2019;s main cotton regions and meteorological stations is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The spatial distribution of China&#x2019;s cotton regions and meteorological stations.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data sources</title>
<p>The data were mainly the routinely collected meteorological data from 248 standard meteorological stations in the main cotton regions of China from 1960 to 2019, including the daily minimum air temperature (T<sub>min</sub>, &#xb0;C), daily maximum air temperature (T<sub>max</sub>, &#xb0;C), sunshine duration hours (SD, h), wind speed at 2&#xa0;m height (WS, m/s), and relative humidity (RH, %). The data were mainly obtained from the China Meteorological Science Data Sharing Service Network (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>); the time-series daily meteorological data that were used were long and continuous.</p>
</sec>
<sec id="s2-3">
<title>2.3 Reference evapotranspiration and crop evapotranspiration</title>
<p>The research framework is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. ET<sub>O</sub> was calculated using the CropWat 8.0 model. The model calculates ETo using the Penman&#x2013;Monteith equation. It was recommended as the sole standard method for ET<sub>O</sub> estimation by FAO in 1998 (<xref ref-type="bibr" rid="B4">Allen et al., 1998</xref>), which formula has been widely used (<xref ref-type="bibr" rid="B10">Fan and Thomas, 2013</xref>; <xref ref-type="bibr" rid="B40">Singh et al., 2022</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The research framework of this study.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g002.tif"/>
</fig>
<p>The equation is as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mrow>
<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">O</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.408</mml:mn>
<mml:mo>&#x2206;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">G</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>900</mml:mn>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>273</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:msub>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.34</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where ET<sub>O</sub> is the daily reference evapotranspiration [mm/d], R<sub>n</sub> is the net radiation at the crop surface [MJ/(m<sup>2</sup> &#xb7; d)], G is the soil heat flux density [MJ/(m<sup>2</sup> &#xb7; d)], T is the mean daily air temperature at 2&#xa0;m height [&#xb0;C], U<sub>2</sub> is the wind speed at 2&#xa0;m height [m/s], e<sub>s</sub> is the saturation vapor pressure [kPa], e<sub>a</sub> is the actual vapor pressure [kPa], e<sub>s</sub>-e<sub>a</sub> is the saturation vapor pressure deficit [kPa], &#x394; is the slope vapor pressure curve [kPa/&#xb0;C], and &#x3b3; is the psychrometric constant [kPa/&#xb0;C].</p>
<p>ET<sub>C</sub> was calculated, and the daily ET<sub>O</sub> time series was multiplied using crop coefficient (Kc) (<xref ref-type="table" rid="T1">Table 1</xref>) values (<xref ref-type="bibr" rid="B48">Yang et al., 2021</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Crop coefficient and growth period of cotton in the main cotton regions of China.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Area</th>
<th rowspan="2" colspan="2" align="center">YV</th>
<th rowspan="2" colspan="2" align="center">HV</th>
<th colspan="6" align="center">NWI</th>
</tr>
<tr>
<th colspan="2" align="center">EJ</th>
<th colspan="2" align="center">SJ</th>
<th colspan="2" align="center">NJ</th>
</tr>
<tr>
<th align="center">Growth period</th>
<th align="center">Kc</th>
<th align="center">Fertility time</th>
<th align="center">Kc</th>
<th align="center">Fertility time</th>
<th align="center">Kc</th>
<th align="center">Fertility time</th>
<th align="center">Kc</th>
<th align="center">Fertility time</th>
<th align="center">Kc</th>
<th align="center">Fertility time</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Init</td>
<td align="center">0.35</td>
<td align="center">4.16&#x2013;5.17</td>
<td align="center">0.35</td>
<td align="center">4.20&#x2013;5.13</td>
<td align="center">0.35</td>
<td align="center">4.14&#x2013;5.15</td>
<td align="center">0.35</td>
<td align="center">4.10&#x2013;5.13</td>
<td align="center">0.35</td>
<td align="center">4.21&#x2013;5.23</td>
</tr>
<tr>
<td align="center">Deve</td>
<td align="center">0.65</td>
<td align="center">5.18&#x2013;7.08</td>
<td align="center">0.69</td>
<td align="center">5.14&#x2013;7.09</td>
<td align="center">0.68</td>
<td align="center">5.16&#x2013;6.25</td>
<td align="center">0.75</td>
<td align="center">5.14&#x2013;6.30</td>
<td align="center">0.69</td>
<td align="center">5.24&#x2013;7.07</td>
</tr>
<tr>
<td align="center">Mid</td>
<td align="center">1.14</td>
<td align="center">7.09&#x2013;8.28</td>
<td align="center">1.16</td>
<td align="center">7.10&#x2013;9.05</td>
<td align="center">1.23</td>
<td align="center">6.26&#x2013;8.19</td>
<td align="center">1.2</td>
<td align="center">7.01&#x2013;9.05</td>
<td align="center">1.22</td>
<td align="center">7.08&#x2013;9.07</td>
</tr>
<tr>
<td align="center">Late</td>
<td align="center">0.87</td>
<td align="center">8.29&#x2013;10.30</td>
<td align="center">0.87</td>
<td align="center">9.06&#x2013;10.14</td>
<td align="center">0.89</td>
<td align="center">8.20&#x2013;10.22</td>
<td align="center">0.92</td>
<td align="center">9.06&#x2013;10.18</td>
<td align="center">0.97</td>
<td align="center">9.08&#x2013;10.08</td>
</tr>
<tr>
<td align="center">All</td>
<td align="center"/>
<td align="center">198</td>
<td align="center"/>
<td align="center">179</td>
<td align="center"/>
<td align="center">191</td>
<td align="center"/>
<td align="center">191</td>
<td align="center"/>
<td align="center">170</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: (All) Full growth period, (Init) Initial period, (Deve) Development stage, (Mid) Mid-season stage, (Late) Late season stage, (YV) yangtze valley cotton region, (HV) huanghe valley cotton region, (NWI) northwestern inland cotton region, (EJ) east xinjiang subregion, (SJ) southern xinjiang subregion, and (NJ) Northern Xinjiang subregion. The Kc was obtained from FAO and China Meteorological Science Data Sharing Service Network (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>) during the growth period of cotton.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The equation is as follows:<disp-formula id="e2">
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<label>(2)</label>
</disp-formula>where Kc (<xref ref-type="table" rid="T1">Table 1</xref>) is the crop coefficient that converts ET<sub>O</sub> into ETc requirements.</p>
</sec>
<sec id="s2-4">
<title>2.4 Non-parametric Mann-Kendall test</title>
<p>The Mann-Kendall trend test was used to analyze the evolution process and characteristics of ETo and ET<sub>C</sub> and their related meteorological elements in the study area (<xref ref-type="bibr" rid="B50">Zhang et al., 2010</xref>). In the Mann-Kendall test, it was originally assumed that H<sub>0</sub>: the time series data (x<sub>1</sub>,&#x2026;, x<sub>n</sub>) were n independent samples with the same distribution of random variables. An alternative hypothesis H1 was a two-sided test: for all k, j&#x2264;n and k &#x2260; j, the distributions of x and xj are not the same, a mutation test: let the climatic sequences x<sub>1</sub>, x<sub>2</sub>,&#x2026;, x<sub>n</sub>, where S<sub>k</sub> represents the <italic>i</italic>th sample, and X<sub>i</sub> &#x3e; X<sub>j</sub> (1 &#x2264; j &#x2264; i) is the cumulative number. Sk was defined as follows:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mrow>
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<mml:mrow>
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<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1,2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
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<label>(3)</label>
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<p>Under the assumption of stochastic independence of the time series, the mean and variance of S<sub>k</sub> was as follows:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
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</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
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<mml:mo>,</mml:mo>
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<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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<mml:mfenced open="(" close=")" separators="|">
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<label>(4)</label>
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<p>Sk was standardized as follows:<disp-formula id="e5">
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<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:msub>
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<mml:mi mathvariant="normal">k</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
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<mml:mrow>
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<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
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<label>(5)</label>
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</p>
<p>UF<sub>K</sub> is a normal distribution of standard given significance and &#x3b1; is a given significance level; if &#x7c;UF<sub>K</sub>&#x7c; &#x3e;U<sub>&#x3b1;/2</sub> (U<sub>&#x3b1;/2</sub> values can be found in the standard normal distribution chart. When taking a &#x3d; 5% as the significance level, the corresponding value of U<sub>&#x3b1;/2</sub> is 1.96), it indicates that there is a significant trend change in the series. The time series x is arranged in reverse order and then calculated according to the above equation and at the same time:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mtd>
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<mml:mo>&#x2212;</mml:mo>
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<mml:mtext>&#x2003;</mml:mtext>
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</sec>
<sec id="s2-5">
<title>2.5 Sensitivity and contribution rate analysis</title>
<p>The sensitivity of ET<sub>O</sub> to changes in climatic variables was investigated using the dimensionless relative sensitivity coefficient method (hereafter referred to as the sensitivity coefficient) based on the Penman&#x2013;Monteith formula (<xref ref-type="bibr" rid="B30">McCuen, 1974</xref>). If S<sub>vi</sub> &#x3e; 0, it means that the ET<sub>O</sub> has a positive sensitivity to the variation in the meteorological factor; if S<sub>vi</sub> &#x3c; 0, it means that the ET<sub>O</sub> has a negative sensitivity. If &#x7c; S<sub>vi</sub> &#x7c; is larger, it indicates that changes in climate change have a greater impact on ET<sub>O</sub> (<xref ref-type="sec" rid="s11">Supplementray Table S1</xref>).</p>
<p>The equation is shown below:<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:mfrac>
<mml:mrow>
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<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
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</mml:mrow>
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<mml:mrow>
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</mml:mfrac>
<mml:mo>&#x2219;</mml:mo>
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<mml:mrow>
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</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
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</mml:mrow>
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<label>(7)</label>
</disp-formula>where S<sub>vi</sub> is the sensitivity coefficient of meteorological factor vi, &#x394;ET<sub>O</sub> is the variation in reference evapotranspiration, vi is the meteorological factor, and &#x394;vi is the variation in the meteorological factor.</p>
<p>The contribution of climatic variables to ET<sub>O</sub> variation was derived from the product of the multiyear relative rate of change and sensitivity. If C<sub>vi</sub>&#x3e;0, this means that the factor had a positive contribution to the variation in ET<sub>O</sub>. If C<sub>vi</sub>&#x3c;0, the changes in the factor decreased ET<sub>O,</sub> and the factor had a negative contribution.<disp-formula id="e8">
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<mml:mo>&#x3d;</mml:mo>
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<mml:mi mathvariant="normal">v</mml:mi>
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<mml:mo>&#x2219;</mml:mo>
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<label>(8)</label>
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<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where C<sub>vi</sub> is the contribution rate of meteorological factor vi to ET<sub>O</sub> variation, %; RC<sub>vi</sub> is the relative change rate of vi, %; n is the number of years, which is 60 in this paper; avi is the mean value of vi; and Trend<sub>vi</sub> is the annual trend of vi, calculated by the trend analysis method.</p>
</sec>
<sec id="s2-6">
<title>2.6 Data analysis tools</title>
<p>The CropWat 8.0 model, Python, and Microsoft Excel 2016 were used for data processing and correlation analysis. The spatial distributions of Evapotranspiration (ET<sub>O</sub>) and Evapotranspiration Coefficient (ET<sub>C</sub>) were expressed using the inverse distance weighting method (IDW) interpolation techniques of ArcGIS 10.2, in conjunction with Origin 2018. Simultaneously, the variations of climatic factors were depicted using Kriging interpolation methods.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Spatial and temporal change characteristics of climatic variables</title>
<p>The spatial distribution of climatic variables in the growth period of cotton in the past 60 years was different in China (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). The highest values of T<sub>min</sub>, T<sub>max</sub>, and RH all appeared in the Yangtze Valley cotton region, with values of 27.42&#xb0;C, 18.99&#xb0;C, and 78.32%, respectively. T<sub>min</sub> and RH had the lowest values in the northwestern inland cotton region, with values of 11.23&#xb0;C and 42.92%, respectively, and T<sub>max</sub> had the lowest value in the Huanghe Valley cotton region (24.75&#xb0;C) (<xref ref-type="fig" rid="F2">Figures 2A,B,E</xref>). The spatial distributions of SD and WS were the opposite of those of T<sub>min</sub> and RH; maximum values were mainly distributed in the northwestern inland cotton region, and the values in the eastern Xinjiang subregion were the highest at 9.16 h and 2.75&#xa0;m/s, respectively, while the values in the Yangtze Valley cotton region were the lowest at 5.30 h and 1.97&#xa0;m/s, respectively. In addition, there were differences in the spatial distribution of climatic variables in different growth stages of cotton (<xref ref-type="sec" rid="s11">Supplementary Figures S1-S6</xref>). The T<sub>min</sub>, T<sub>max</sub>, and SD in the mid-season stage of cotton were significantly higher than those in the other growth stages.</p>
<p>The T<sub>min</sub> and T<sub>max</sub> generally showed an upward trend, while WS and RH showed a downward trend in the cotton regions of China in the past 60 years. SD showed a downward trend in the Huanghe Valley and Yangtze Valley cotton regions and had an upward trend in the northwestern inland cotton region (<xref ref-type="fig" rid="F3">Figure 3</xref>). In addition to T<sub>min</sub> in the Yangtze Valley cotton region, the mutation times of T<sub>min</sub> and T<sub>max</sub> in the cotton regions of China were mainly concentrated in approximately 1996 and showed a significant upward trend after mutation. The increasing rates of T<sub>min</sub> were 0.31&#xb0;C/decade, 0.22&#xb0;C/decade, 0.52&#xb0;C/decade, 0.38&#xb0;C/decade, and 0.42&#xb0;C/decade in the Huanghe Valley, Yangtze Valley, and northwestern inland cotton regions (East Xinjiang subregion, South Xinjiang subregion, and North Xinjiang subregion), respectively, and the increasing rates of T<sub>max</sub> were 0.19&#xb0;C/decade, 0.21&#xb0;C/decade, 0.32&#xb0;C/decade, 0.19&#xb0;C/decade, and 0.18&#xb0;C/decade, respectively (<xref ref-type="sec" rid="s11">Supplementray Table S2</xref>). The SD showed a decreasing trend at rates of &#x2212;0.16&#xa0;h/decade and &#x2212;0.14&#xa0;h/decade in the Huanghe Valley and Yangtze Valley cotton regions, respectively, and showed an increasing trend of 0.01&#xa0;h/decade in the northwestern inland cotton region. WS had the largest rate of decline in the Huanghe Valley cotton region, followed by the northwestern inland cotton region and the Yangtze Valley cotton region, which had values of 0.19&#xa0;m/s/decade &#x3e;0.11&#xa0;m/s/decade &#x3e;0.07&#xa0;m/s/decade. RH had a downward trend after 2010 in China&#x2019;s major cotton planting regions, and the average change rates were &#x2212;0.58%/decade, &#x2212;0.51%/decade, and &#x2212;0.32%/decade in the Huanghe Valley, the Yangtze Valley, and the northwestern inland cotton regions, respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Non-parametric Mann-Kendall test of climatic variables in China&#x2019;s cotton regions from 1960 to 2019. (T<sub>min</sub>) minimum air temperature, (T<sub>max</sub>) maximum air temperature, (SD) sunshine duration hours, (WS) wind speed at 2&#xa0;m height, and (RH) relative humidity. (YV) Yangtze Valley cotton region, (HV) Huanghe Valley cotton region, (NWI) northwestern inland cotton region, (EJ) eastern Xinjiang subregion, (SJ) southern Xinjiang subregion, and (NJ) northern Xinjiang subregion.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Spatial and temporal variation characteristics of reference evapotranspiration (ET<sub>O</sub>) and cotton evapotranspiration (ET<sub>C</sub>)</title>
<p>The distribution of ET<sub>O</sub> and ET<sub>C</sub> in the growing season showed an obvious spatial gradient (<xref ref-type="fig" rid="F4">Figure 4</xref>; <xref ref-type="fig" rid="F5">Figure 5</xref>). The ET<sub>O</sub> and ET<sub>C</sub> values decreased from west to east and from north to south. The ET<sub>O</sub> and ET<sub>C</sub> values in the northwestern inland cotton region were higher than those in the Huanghe Valley and Yangtze Valley cotton regions. The ET<sub>O</sub> values were 978&#xa0;mm, 778&#xa0;mm, and 739&#xa0;mm in the northwestern inland cotton region, Huanghe Valley cotton region, and Yangtze Valley cotton region, respectively, and the ET<sub>C</sub> values were 891&#xa0;mm, 663&#xa0;mm, and 628&#xa0;mm, respectively (<xref ref-type="fig" rid="F4">Figure 4A</xref>; <xref ref-type="fig" rid="F5">Figure 5A</xref>). In particular, the eastern Xinjiang subregion of the northwestern inland cotton region had the highest values of ET<sub>O</sub> and ET<sub>C</sub>, with average values of 1,060&#xa0;mm and 981&#xa0;mm, respectively, while the ET<sub>O</sub> and ET<sub>C</sub> were lowest in the western Yangtze Valley cotton region, with average values of 609&#xa0;mm and 506&#xa0;mm, respectively. The whole growth period of cotton was divided into four stages. The ET<sub>O</sub> and ET<sub>C</sub> of cotton first increased and then decreased during the growth period, and the maximum values occurred in the mid-season stage (<xref ref-type="fig" rid="F4">Figures 4B&#x2013;E</xref>; <xref ref-type="fig" rid="F5">Figures 5B&#x2013;E</xref>). The value of ET<sub>O</sub> accounted for 33.91%, 32.20%, and 38.36% of the total growth period, respectively, and the value of ET<sub>C</sub> accounted for 48.45%, 43.26%, and 51.27% of the total growth period, respectively.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The spatial distribution of reference evapotranspiration (ET<sub>O</sub>) in different growth periods of cotton in the cotton areas of China from 1960 to 2019. (All) full growth period, (Init) initial period, (Deve) development stage, (Mid) mid-season stage, and (late) late season stage.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The spatial distribution of crop evapotranspiration (ET<sub>C</sub>) in different growth periods of cotton in the cotton areas of China from 1960 to 2019. (All) full growth period, (Init) initial period, (Deve) development stage, (Mid) mid-season stage, and (late) late season stage.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g005.tif"/>
</fig>
<p>ET<sub>O</sub> and ET<sub>C</sub> showed a decreasing trend in the major cotton regions in China from 1960 to 2019 (<xref ref-type="fig" rid="F6">Figure 6</xref>). However, the decreasing trend was different in each cotton region. The ET<sub>O</sub> and ET<sub>C</sub> of the Huanghe Valley cotton region decreased from 787.23 mm and 677.62&#xa0;mm in 1960&#x2013;1979 to 769.84 mm and 654.33&#xa0;mm in 2000&#x2013;2019, respectively, at a rate of &#x2212;3.49 mm/decade and &#x2212;4.83 mm/decade. The ET<sub>O</sub> and ET<sub>C</sub> of the Yangtze Valley cotton region decreased from 749.19 mm and 653.02&#xa0;mm in 1960&#x2013;1979 to 735.01 mm and 625.50&#xa0;mm in 2000&#x2013;2019, respectively, at a rate of &#x2212;3.98 mm/decade and &#x2212;6.97 mm/decade, respectively (<xref ref-type="sec" rid="s11">Supplementray Table S3</xref>). The mutation time of ET<sub>O</sub> and ET<sub>C</sub> occurred in approximately 1973 in the Huanghe Valley and Yangtze Valley cotton regions and showed a downward trend after the mutation occurred. The northwestern inland cotton region showed a downward trend overall, and the rates of decline of ET<sub>O</sub> and ET<sub>C</sub> were &#x2212;0.14 mm/decade and &#x2212;0.61 mm/decade, respectively. However, the northwestern inland cotton region showed an upward trend after 2000. Changes between the subregions were different, and the change rates of ET<sub>O</sub> in the eastern, southern, and northern subregions were 2.49 mm/decade, &#x2212;2.07 mm/decade, and &#x2212;6.45 mm/decade, respectively; the change rates of ET<sub>C</sub> were &#x2212;1.96 mm/decade, &#x2212;2.14 mm/decade, and &#x2212;14.05 mm/decade, respectively. However, the ET<sub>O</sub> and ET<sub>C</sub> in cotton regions in China showed an upward trend from 2000 to 2019 except for the northern Xinjiang subregion of the northwestern inland cotton region, with an upward trend in the eastern Xinjiang subregion.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Non-parametric Mann-Kendall test of reference evapotranspiration (ET<sub>O</sub>) and crop evapotranspiration (ET<sub>C</sub>) in China&#x2019;s main cotton regions from 1960 to 2019. (YV) Yangtze Valley cotton region, (HV) Huanghe Valley cotton region, (NWI) northwestern inland cotton region, (EJ) eastern Xinjiang subregion, (SJ) southern Xinjiang subregion, and (NJ) northern Xinjiang subregion.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g006.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Sensitivity of reference evapotranspiration (ET<sub>O</sub>) to climatic variables</title>
<p>Climate change will affect the regional ET<sub>O</sub>. The sensitivity of ET<sub>O</sub> to climatic variables was explored by means of sensitivity coefficients to further understand the influence of climatic variables on ET<sub>O</sub>. ET<sub>O</sub> was most sensitive to T<sub>max</sub> in the cotton region of China from 1960 to 2019, and its average sensitivity coefficient was 0.49, followed by RH (&#x2212;0.45), SD (0.27), WS (0.19), and T<sub>min</sub> (0.14) (<xref ref-type="fig" rid="F7">Figure 7</xref>). In addition, the sensitivity coefficients for RH had a negative correlation, the sensitivity coefficients for T<sub>min</sub>, T<sub>max</sub>, and SD had a positive correlation, the sensitivity coefficients for WS were positive in 99% and negative in 1%, and the negative correlation region was mainly concentrated in the south of the Yangtze Valley cotton region. The sensitivity of ET<sub>O</sub> to climatic variables in cotton regions had certain differences due to the geographical distribution. The most sensitive climatic variable was RH, followed by T<sub>max</sub>, SD, T<sub>min</sub>, and WS in the Huanghe Valley cotton region and Yangtze Valley cotton region from 1960 to 2019. The most sensitive climatic variable was T<sub>max</sub>, followed by RH, WS, SD, and T<sub>min</sub> in the northwestern inland cotton region from 1960 to 2019. ET<sub>O</sub> was most sensitive to T<sub>max</sub> change in the Yangtze Valley cotton region (0.54), followed by the northwestern inland cotton region (0.50) and the Huanghe Valley cotton region (0.45). The sensitivity of ET<sub>O</sub> to T<sub>min</sub>, RH, and SD decreased gradually from the Yangtze Valley cotton region to the northwest, showing a step-like decline. The highest sensitivity coefficient values in the cotton region of the Yangtze River basin were 0.27, &#x2212;0.87, and 0.37. The lowest values were in the northwestern inland cotton region, which were 0.09, &#x2212;0.28, and 0.24. The spatial distribution of the sensitivity of ET<sub>O</sub> to WS was the opposite of T<sub>min</sub>, RH, and SD, showing a step-like decline from the northwestern inland cotton region to the southeast. The sensitivity coefficient was the highest in the northwestern inland cotton region (0.25) and the lowest in the Yangtze Valley cotton region (0.09).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The sensitivity coefficients of climatic variables to the changes in ET<sub>O</sub> in the full growth stages of cotton in China. <bold>(A)</bold> Minimum air temperature (T<sub>min</sub>), <bold>(B)</bold> maximum air temperature (T<sub>max</sub>), <bold>(C)</bold> sunshine duration (SD), <bold>(D)</bold> wind speed at 2&#xa0;m height (WS), and <bold>(E)</bold> relative humidity (RH).</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g007.tif"/>
</fig>
<p>The spatial distribution of ET<sub>O</sub> sensitivity to climate changes in different growth stages was similar to that in the whole growth period in each cotton region (<xref ref-type="fig" rid="F8">Figure 8</xref>). The sensitivity of ET<sub>O</sub> to climatic variables first increased and then decreased with the growth of cotton. The sensitivity of T<sub>min</sub>, T<sub>max</sub>, RH, and SD was the highest in the mid-season stage, with values of 0.18, 0.56, &#x2212;0.47, and 0.33, respectively, and the growth stage with the lowest sensitivity coefficient was the initial period, with sensitivity coefficients of 0.10, 0.48, &#x2212;0.44, and 0.23, respectively (<xref ref-type="fig" rid="F8">Figures 8A&#x2013;C</xref>). The highest sensitivity coefficient for ET<sub>O</sub> to WS was in the development stage, with a sensitivity coefficient of 0.22, and the lowest sensitivity coefficient was in the late season stage, with a sensitivity coefficient of 0.15 (<xref ref-type="fig" rid="F8">Figure 8D</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The sensitivity coefficients of ET<sub>O</sub> to changes in climatic variables in different growth stages of cotton. <bold>(A)</bold> Minimum air temperature (T<sub>min</sub>), <bold>(B)</bold> maximum air temperature (T<sub>max</sub>), <bold>(C)</bold> sunshine duration (SD), <bold>(D)</bold> wind speed at 2&#xa0;m height (WS), <bold>(E)</bold> relative humidity (RH), (Init) initial period, (Deve) development stage, (Mid) mid-season stage, and (Late) late-season stage.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g008.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 The contribution rate of climatic variables to reference evapotranspiration (ET<sub>O</sub>)</title>
<p>To identify the main climatic variables affecting ET<sub>O</sub> changes in cotton in China and its three cotton regions, the relative contribution method was adopted to quantify the contribution of climatic variables to ET<sub>O</sub> change (<xref ref-type="fig" rid="F9">Figure 9</xref>). WS was an important climatic variable affecting the growing season ET<sub>O</sub> trends, causing a reduction in ET<sub>O</sub> by &#x2212;4.26%, thereby becoming the largest contributor to the decreasing growing season ET<sub>O</sub> from 1960 to 2019 in the cotton region of China. In addition, SD had a negative impact on ET<sub>O</sub>, with a contribution rate of &#x2212;2.22%. T<sub>max</sub> was the crucial contributor to the increase in ET<sub>O</sub>, with a contribution rate of 2.59%, followed by RH and T<sub>min</sub>, with contribution rates of 2.02% and 1.99%, respectively, in the cotton region of China. However, the same climate variable might have different contribution rates to the change in ET<sub>O</sub> in the three cotton regions because of different sensitivities and changes in climate change in terms of spatial distribution. T<sub>max</sub>, T<sub>min</sub>, and RH had positive contributions to ET<sub>O</sub> during the growing season, and WS had negative contributions to ET<sub>O</sub>. However, SD had a negative contribution to ET<sub>O</sub> in the Huanghe Valley and the Yangtze Valley cotton regions but had a positive contribution to ET<sub>O</sub> in the northwestern inland cotton region. SD was the meteorological factor with the largest contribution rate to ET<sub>O</sub> changes in the Huanghe Valley and the Yangtze Valley cotton regions, with contribution rates of &#x2212;7.02 and &#x2212;4.40, respectively. WS was the meteorological factor with the largest contribution rate to ET<sub>O</sub> changes in the northwestern inland cotton region, and the contribution rates were &#x2212;4.16, &#x2212;3.93, and &#x2212;8.59 in the eastern Xinjiang subregion, southern Xinjiang subregion, and northern Xinjiang subregion, respectively.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The sensitivity coefficients of climatic variables to the changes in ET<sub>O</sub> in different growth stages of cotton in China. <bold>(A)</bold> All: Full growth period, <bold>(B)</bold> (Init) Initial period, <bold>(C)</bold> Deve: Development stage, <bold>(D)</bold> Mid: Mid-season stage, and <bold>(E)</bold> Late: Late season stage. (T<sub>min</sub>) minimum air temperature, (T<sub>max</sub>) maximum air temperature, (SD) sunshine duration hours, (RH) relative humidity, and (WS) wind speed at 2&#xa0;m height. (YV) Yangtze Valley cotton region, (HV) Huanghe Valley cotton region, (NWI) northwestern inland cotton region, (EJ) eastern Xinjiang subregion, (SJ) southern Xinjiang subregion, and (NJ) northwestern inland cotton region.</p>
</caption>
<graphic xlink:href="fenvs-11-1251789-g009.tif"/>
</fig>
<p>The contribution rates of T<sub>min</sub>, T<sub>max</sub>, and RH to ET<sub>O</sub> trends were highest in the initial period, with values of 2.22%, 3.63%, and 3.94%, respectively. The contribution rates of T<sub>min</sub> and T<sub>max</sub> were the lowest in the development stage, with values of 1.83% and 2.05%, respectively. The contribution rate of RH was the lowest in the mid-season stage (1.41%). The contribution rate of WS was the highest in the development stage (&#x2212;5.05%) and the lowest in the late season stage (&#x2212;3.34%). The contribution rate of SD was the highest in the mid-season stage (&#x2212;4.47) and the lowest values were in the initial period (0.91%) (<xref ref-type="fig" rid="F9">Figures 9B&#x2013;E</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Spatial and temporal analysis of climatic change</title>
<p>Climate change in China&#x2019;s cotton regions was a microcosm of overall climate change in China. With the increase in population and the acceleration of industrialization, the emission of pollutants gradually increased, and aggregated aerosols from anthropogenic emissions of pollutants were the main dimming factor (<xref ref-type="bibr" rid="B11">Feng et al., 2017</xref>). The increase in aerosols weakens the direct solar radiation, resulting in a reduced SD. The Huanghe Valley and Yangtze Valley cotton regions are located in low-altitude areas, with high population density, concentrated human activities, and developed industry, and pollution is more serious than that in the northwestern inland cotton region, which has a low population density. Therefore, the declining trend of SD in the Huanghe Valley and Yangtze Valley cotton regions is more obvious than that in the northwestern inland cotton region. The changing trend of WS was consistent with the research of Jiang et al. from 1960 to 2000 (<xref ref-type="bibr" rid="B22">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>); however, the research results were different after 2000. Contrary to the results of the gradual increase in WS in recent years in the research of scholars such as <xref ref-type="bibr" rid="B41">Sun et al. (2013)</xref>, the WS of the main cotton areas in China showed a significant downward trend. There were two main reasons for the decline in WS. First, the weakening of the atmospheric circulation and the significant increase in temperature in the cotton regions of China (<xref ref-type="bibr" rid="B31">McVicar et al., 2012</xref>) changed the pressure difference that formed the atmospheric circulation and slowed the wind speed. Additionally, an increase in human activities and vegetation coverage and an increase in surface roughness resulted from human activities, such as planting and urbanization (<xref ref-type="bibr" rid="B25">Liu et al., 2013</xref>; <xref ref-type="bibr" rid="B39">Shi et al., 2017</xref>).</p>
<p>Temperature showed a significant upward trend in China&#x2019;s major cotton regions. Aerosols and increasing greenhouse gases are the main causes of the global temperature rise (<xref ref-type="bibr" rid="B32">Najafi et al., 2015</xref>). The upward trend of T<sub>min</sub> is more obvious than that of T<sub>max</sub>. Aerosols and greenhouse gases absorb most of the solar radiation during the day and release energy into the atmosphere in the form of longwave radiation at night (<xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>). The changing trend of RH between 1960 and 2000 was not obvious, but in recent years, the downward trend has gradually increased. This result was consistent with previous research results (<xref ref-type="bibr" rid="B21">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B48">Yang et al., 2021</xref>), which were related to the significant increase in temperature in recent years.</p>
</sec>
<sec id="s4-2">
<title>4.2 Spatial and temporal analysis of the reference evapotranspiration (ET<sub>O</sub>) and cotton evapotranspiration (ET<sub>C</sub>)</title>
<p>ET<sub>O</sub> and ETc play an important role in agricultural water resource dispatching, irrigation system formulation, and farmland water management (<xref ref-type="bibr" rid="B36">Reddy, 2015</xref>; <xref ref-type="bibr" rid="B34">Pandey et al., 2016</xref>). Only comprehensively exploring the temporal and spatial evolution of ET<sub>O</sub> that is influenced by climatic conditions and ETc that is influenced by the physical characteristics of the crop itself can improve well-irrigated and agricultural water management. The study of ET<sub>O</sub> and ETc of major cotton regions in China showed the highest in the Northwest inland cotton regions and the lowest in the Yangtze Valley cotton regions. The reliability of this study&#x2019;s conclusion is reinforced as <xref ref-type="bibr" rid="B21">Li et al.&#x2019;s (2017)</xref> results aligned with ours. <xref ref-type="bibr" rid="B26">Liu et al. (2022)</xref> found that the range of ET<sub>O</sub> of the spring wheat planting area was 460.6&#x2013;809.3&#xa0;mm in the Huanghe Valley Basin, which is also consistent with the present study. However, <xref ref-type="bibr" rid="B47">Yang et al. (2022)</xref> estimated that the ETc of cotton ranged from 551 to 606&#xa0;mm in the North China Plain, which is lower than the results of this study. Mainly, the North China Plain is a sub-region of the Huanghe Valley cotton regions, and ETc in places such as Shaanxi located in the western part of the Huanghe Valley cotton region is higher than in the region where the North China Plain is located. <xref ref-type="bibr" rid="B47">Yang et al. (2022)</xref> indicated that the maximum value of ETc shifted from the south to the west of the North China Plain, which also proved this point.</p>
<p>Studies have shown that the ET<sub>O</sub> and ET<sub>C</sub> in China&#x2019;s major cotton regions showed a downward trend, which was consistent with the &#x201c;evaporation paradox&#x201d; of many studies (<xref ref-type="bibr" rid="B38">Roderick and Farquhar, 2002</xref>; <xref ref-type="bibr" rid="B24">Li et al., 2012</xref>; <xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>). However, ET<sub>O</sub> and ET<sub>C</sub> in the Inland Northwest cotton regions showed an upward trend after 2000. <xref ref-type="bibr" rid="B23">Li et al. (2014)</xref> pointed out that the annual ET<sub>O</sub> showed an upward trend from 2000 to 2009. In Southwest China, <xref ref-type="bibr" rid="B23">Li et al. (2014)</xref> pointed out that from 1958 to 1993, the ET<sub>O</sub> level decreased and then increased in Northwest China, which was consistent with the results obtained in this study. The ET<sub>O</sub> and ET<sub>C</sub> showed differences in different growth stages of cotton. With the increase in the cotton growth period, the ET<sub>O</sub> and ET<sub>C</sub> of cotton first increased and then decreased, and the value was the largest in the mid-season. Cotton was in the reproductive growth stage at this stage, with relatively active physiological and biochemical activities, increased evapotranspiration, and constantly increased water demand, which promoted the ET<sub>O</sub> and ET<sub>C</sub> at this stage to be significantly higher than those at other stages in the cotton growing period. The most critical water requirement of cotton was in June at its blossoming and boll-forming stage (<xref ref-type="bibr" rid="B48">Yang et al., 2021</xref>). Therefore, irrigation should be increased during the rapid development stage or mid-season stage to ensure normal water demand.</p>
</sec>
<sec id="s4-3">
<title>4.3 Sensitivity and contribution rate of reference evapotranspiration (ET<sub>O</sub>) to the variation in climatic</title>
<p>Trends and fluctuations in climatic factors lead to variations in ET<sub>O</sub> and ETc (<xref ref-type="bibr" rid="B48">Yang et al., 2021</xref>). Exploring the effects of climate change on ET<sub>O</sub> changes can help predict ET<sub>O</sub> changes in the context of climate change (<xref ref-type="bibr" rid="B11">Feng et al., 2017</xref>). The study showed that the sensitivity of the climatic variables in the cotton areas of China was ranked as follows: T<sub>max</sub> (0.49) &#x3e; RH (&#x7c;&#x2212;0.45&#x7c;) &#x3e; SD (0.27) &#x3e; WS (0.19) &#x3e; T<sub>min</sub> (0.14). However, the vast span of the cotton region in China necessitates regional studies due to the diversity of regional geographical and climatic conditions. The most sensitive climatic variable was RH in the Huanghe Valley cotton region and Yangtze Valley cotton region, and the most sensitive climatic variable was T<sub>max</sub> in the northwestern inland cotton region. This result was similar to previous studies. <xref ref-type="bibr" rid="B51">Zuo et al. (2012)</xref> and <xref ref-type="bibr" rid="B18">Jiang et al. (2019)</xref> found that RH was the most sensitive meteorological factor to ET<sub>O</sub> changes in the Huanghe Valley and southern China. <xref ref-type="bibr" rid="B22">Li et al. (2014)</xref> found that T<sub>max</sub> was the most sensitive meteorological factor to ET<sub>O</sub> changes in the northwestern inland. In addition, the coefficients of T<sub>min</sub>, T<sub>max</sub>, and SD for the mid-season stage were maximized, which is similar to the study by <xref ref-type="bibr" rid="B45">Wang et al. (2014)</xref>.</p>
<p>The contribution rate of climate change depends not only on the sensitivity of ET<sub>O</sub> to climate change but also on the magnitude of the trend of climate change (<xref ref-type="bibr" rid="B21">Li et al., 2017</xref>). The sensitivity coefficient of T<sub>max</sub> was the highest, but the variation range was limited, so the contribution rate of T<sub>max</sub> to the variation in ET<sub>O</sub> was not the highest. The largest contribution to ET<sub>O</sub> was WS (&#x2212;4.26%), followed by T<sub>max</sub> (2.58%) &#x3e; SD (&#x2212;2.23%) &#x3e; RH (2.07%) &#x3e; T<sub>min</sub> (2.00%). However, due to the difference in the geographical environment, the contribution to ET<sub>O</sub> in different cotton areas was different. <xref ref-type="bibr" rid="B46">Wang et al. (2017)</xref> pointed out that SD had the greatest impact on ET<sub>O</sub> in the eastern part of the Huanghe River and southern China, and WS played an important role in the change in ET<sub>O</sub> in northwestern China, which is consistent with this study. The decrease in SD resulted in a decrease in energy reaching the leaves. The reduction in WS reduces the diffusion of water molecules through turbulent flow, resulting in a further reduction in evaporative demand, and the decline rate of WS and SD is higher than the increase rate of temperature in most cotton regions, so the decline in WS and SD offsets the effect of temperature on ET<sub>O</sub> and ET<sub>C</sub> changes (<xref ref-type="bibr" rid="B41">Sun et al., 2013</xref>; <xref ref-type="bibr" rid="B46">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B47">Yang et al., 2022</xref>). However, the declining trend of ET<sub>O</sub> and ET<sub>C</sub> has been gradually broken by the decrease in RH in recent years. The decrease in RH will reduce atmospheric vapor pressure and accelerate the release of water vapor from cotton stomata (<xref ref-type="bibr" rid="B18">Jiang et al., 2019</xref>). In addition, under the background of a continuous temperature increase, the ET<sub>O</sub> and ET<sub>C</sub> of the cotton regions may increase in the future, especially the northwestern inland cotton region. The characteristics of the stages of growth of cotton ET<sub>O</sub> and ET<sub>C</sub> evolution and influencing factors of the study are indispensable in the context of climate change, and the analysis methods of the sensitivity coefficient and contribution rate can be extended to other crops.</p>
</sec>
<sec id="s4-4">
<title>4.4 Limitations and prospects</title>
<p>As widely recognized, climate change significantly impacts crop growth by influencing the hydrological cycle (<xref ref-type="bibr" rid="B49">Zeng et al., 2021</xref>). Understanding the changes in ET<sub>O</sub> and ET<sub>C</sub> is crucial for scientifically managing water resources and promoting sustainable agricultural production. However, some studies have suggested that the effect of climate change on agriculture may be limited (<xref ref-type="bibr" rid="B35">Piao et al., 2010</xref>). In this study, we focused solely on the influence of climate factors on ET<sub>O</sub> and ET<sub>C</sub>, overlooking the essential roles that different crop varieties and management practices play in shaping ET<sub>O</sub> and ET<sub>C</sub> of cotton. Moving forward, we intend to explore the intricate interplay between genes, management measures, environmental factors, and other variables affecting ET<sub>O</sub> and ET<sub>C</sub> of cotton. Moreover, cotton, being a water-intensive crop, is susceptible to water stress, making it imperative to investigate strategies to reduce ET<sub>O</sub> and ET<sub>C</sub> in cotton production. It is important to note that this study solely presents a sensitivity analysis of local meteorological factors on ET<sub>O</sub> changes. We did not take into account the far-reaching effects of large-scale climate variability, which originates from the oceans and serves as critical drivers of global and regional climate change. These effects can have significant impacts on the evolutionary pattern of ET<sub>O</sub> (<xref ref-type="bibr" rid="B9">Fan et al., 2016</xref>; <xref ref-type="bibr" rid="B26">Liu et al., 2018</xref>). Through ongoing research, we aim to gain a more comprehensive understanding of the multifaceted factors influencing ET<sub>O</sub> and ET<sub>C</sub> of cotton, thereby contributing to informed agricultural water management and adaptive strategies in the face of evolving climate conditions.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Based on daily data from 248 meteorological stations in the cotton region of China from 1960 to 2019, the spatial and temporal evolutionary trends of ET<sub>O</sub> and ET<sub>C</sub> during the cotton growing period were analyzed, as were the sensitivity coefficients and contributions of climatic variables to the changes in ET<sub>O</sub>. The decline rates of ET<sub>O</sub> in the Huanghe Valley cotton region, Yangtze Valley cotton region, and the northwestern inland cotton region were &#x2212;3.49 mm/decade, &#x2212;3.98 mm/decade, and &#x2212;1.37 mm/decade, respectively, and the decline rates of ET<sub>C</sub> were &#x2212;4.83 mm/decade, &#x2212;6.97 mm/decade, and &#x2212;6.05 mm/decade, respectively. The sensitivity coefficient of ET<sub>O</sub> to the change in climatic variables was T<sub>max</sub> (0.49)&#x3e; RH (&#x7c;&#x2212;0.45&#x7c;)&#x3e; SD (0.27)&#x3e; WS (0.19)&#x3e; T<sub>min</sub> (0.14). The contribution rate of climatic variables to ET<sub>O</sub> was WS (&#x7c;&#x2212;4.26%&#x7c;)&#x3e;T<sub>max</sub> (2.58%)&#x3e;SD (2.23%)&#x3e;RH (2.07%)&#x3e;T<sub>min</sub> (2.00%). Except for the decreases in ET<sub>O</sub> and ET<sub>C</sub> with the increase in RH, the changes in temperature (T<sub>max</sub> and T<sub>min</sub>), SD, and WS all had positive effects on ET<sub>O</sub> and ET<sub>C</sub>, so the ET<sub>O</sub> and ET<sub>C</sub> decreased with the significant decrease in WS and SD in 1960&#x2013;2000. However, the significant decrease in RH (UF<sub>k</sub> &#x3c; &#x2212;1.96) and the significant increase in temperature (UF<sub>k</sub>&#x3e;1.96) prompted the ET<sub>O</sub> and ET<sub>C</sub> to increase after 2000, which not only increased the production and irrigation of cotton but also potentially caused extremely high temperature and drought stress. Consequently, according to the characteristics of the cotton region and cotton growth stage in the context of climate change, it is necessary to formulate the most suitable irrigation plan, improve water utilization efficiency, and reduce cotton production costs to cope with more severe climate change in the future. (<xref ref-type="bibr" rid="B27">Mancosu et al., 2016</xref>).</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: The data were mainly obtained from the China Meteorological Science Data Sharing Service Network (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>) the used time-series daily meteorological data were long and continuous.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>Conceptualization, YS and ZW; methodology, JL; software, JW; validation, YS and LW; formal analysis, KW; writing&#x2014;original draft preparation, YS; writing&#x2014;review and editing, YS and JW; visualization, AL; supervision, LG; project administration, ZW and LG. YS and JW contributed equally to the present work. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was financially supported by the National Key R&#x26;D Program of China (2022YFE0125700).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2023.1251789/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2023.1251789/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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