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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">892577</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.892577</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>Effect of Center-Pivot Irrigation Intensity on Groundwater Level Dynamics in the Agro-Pastoral Ecotone of Northern China</article-title>
<alt-title alt-title-type="left-running-head">Lian et al.</alt-title>
<alt-title alt-title-type="right-running-head">Irrigation Intensity on Groundwater Level</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lian</surname>
<given-names>Jie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1712606/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Yulin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Yuqiang</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/1148609/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Xueyong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/889774/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Tonghui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/420531/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xinyuan</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>Xuyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1221422/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Lilong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/919381/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Rui</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>Northwest Institute of Eco-Environment and Resources</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Naiman Desertification Research Station</institution>, <institution>Northwest Institute of Eco-Environment and Resources</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Tongliao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Gansu Monitoring Center for Ecological Resources</institution>, <addr-line>Lanzhou</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/530444/overview">Arianna Azzellino</ext-link>, Politecnico di Milano, Italy</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/1449748/overview">Mohd Yawar Ali Khan</ext-link>, King Abdulaziz University, Saudi Arabia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1780949/overview">Yongzhi Yan</ext-link>, Inner Mongolia University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yuqiang Li, <email>liyq@lzb.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Water and Wastewater Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>892577</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>03</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Lian, Li, Li, Zhao, Zhang, Wang, Wang, Wang and Zhang.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Lian, Li, Li, Zhao, Zhang, Wang, Wang, Wang and Zhang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Groundwater-based irrigation is an effective buffer against water disconnects during droughts in areas of intensive agriculture. However, it is difficult to implement effective measures to sustainably utilize aquifers due to the unclear understanding of irrigation intensity in the agro-pastoral ecotone. To explore the influence of regional irrigation intensity on groundwater level (<italic>GL</italic>), we investigated the dynamics of Kernel density for irrigation well from 2000 and the changed <italic>GL</italic> (&#x394;<italic>GL</italic> in three groups) in a typical center-pivot irrigation (CPI) area (about 1,000&#xa0;km<sup>2</sup>). The results showed that the implementation of CPI systems caused a rapid land-use change from natural grassland (NG) to cultivated pasture (CP). The observed &#x394;<italic>GL</italic> in deeper group (0.63&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>, <italic>GL</italic> &#x3e; 20&#xa0;m) was significantly (<italic>p</italic> &#x3c; 0.05) higher than that in shallower group (0.38&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>, <italic>GL</italic> &#x3c; 10&#xa0;m) and medium group (0.43&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>, 10&#xa0;m &#x3c; <italic>GL</italic> &#x3c; 20&#xa0;m). The predicted &#x394;<italic>GL</italic> and <italic>GL</italic> were significantly and positively correlated with the CPI well density (<italic>R</italic>
<sup>2</sup> &#x3d; 0.447 and 0.429, <italic>p</italic> &#x3c; 0.001), respectively, and showed a fitted plane function based on the variables (<italic>R</italic>
<sup>2</sup> &#x3d; 0.655, <italic>p</italic> &#x3c; 0.001). It indicted that the intensive cropping in the agro-pastoral ecotone profoundly changed regional irrigation intensity, resulting in a rapid response of the <italic>GL</italic>. To reduce the risk of increased irrigation costs and ensure sustainable availability of groundwater, it&#x2019;s necessary to control the density of CPI systems in hotspot areas, and implement water-saving measures to balance water usage and recharge rates for sustainable groundwater management.</p>
</abstract>
<kwd-group>
<kwd>cropping intensity</kwd>
<kwd>well density</kwd>
<kwd>groundwater depletion risk</kwd>
<kwd>intensive agriculture</kwd>
<kwd>sustainable groundwater management</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Groundwater and aquifers are critical to human well-being (<xref ref-type="bibr" rid="B31">Ravenscroft and Lytton, 2022</xref>) as essential buffers for irrigation against water disconnects during droughts (<xref ref-type="bibr" rid="B38">Siebert et al., 2010</xref>; <xref ref-type="bibr" rid="B34">Scanlon et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>). Global irrigation water has tripled as world population and irrigated area doubled since 1950, provides 40% of the global food production (<xref ref-type="bibr" rid="B14">FAO, 2017</xref>), and contributes approximately 90% of the consumptive water use, of which more than 43% (545&#xa0;km<sup>3</sup>&#xa0;yr<sup>&#x2212;1</sup>) comes from groundwater (<xref ref-type="bibr" rid="B38">Siebert et al., 2010</xref>; <xref ref-type="bibr" rid="B7">D&#xf6;ll et al., 2012</xref>). However, the amount of irrigation water will be further strained in the future due to other growing human needs, including domestic use and industrial water (<xref ref-type="bibr" rid="B28">OECD, 2012</xref>). This competition for the available water can lead to conflict between upstream and downstream areas at watershed scale (<xref ref-type="bibr" rid="B5">Cheng et al., 2014</xref>; <xref ref-type="bibr" rid="B47">Zhao and Chang, 2014</xref>; <xref ref-type="bibr" rid="B33">Salem et al., 2017</xref>), and has become a key constraint on farmers&#x2019; income and food security, particularly in low-rainfall areas (<xref ref-type="bibr" rid="B43">Wu et al., 2020</xref>). Pumping groundwater can alleviate this problem and bridge the gap between water supply and demand. To encourage food production in intensive agricultural areas, even in some regions that are not typically water-stressed, groundwater withdrawal often exceeds the rate of natural recharge (<xref ref-type="bibr" rid="B23">Konikow, 2013</xref>; <xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>). Thus, groundwater depletion will pose a series of challenges to agricultural systems and its sustainable development (<xref ref-type="bibr" rid="B14">FAO, 2017</xref>).</p>
<p>Long-term changes in groundwater level (<italic>GL</italic>) and storage can be monitored (<xref ref-type="bibr" rid="B13">Fan et al., 2013</xref>; <xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>) based on NASA&#x2019;s Gravity Recovery and Climate Experiment mission (<ext-link ext-link-type="uri" xlink:href="https://grace.jpl.nasa.gov/">https://grace.jpl.nasa.gov/</ext-link>) (<xref ref-type="bibr" rid="B7">D&#xf6;ll et al., 2012</xref>; <xref ref-type="bibr" rid="B12">Famiglietti, 2014</xref>), and by means of actual measurements and various techniques to support modeling (<xref ref-type="bibr" rid="B7">D&#xf6;ll et al., 2012</xref>; <xref ref-type="bibr" rid="B22">Khan et al., 2021</xref>; <xref ref-type="bibr" rid="B34">Scanlon et al., 2012</xref>). To measure agricultural impacts on water consumption, the indicators of irrigation water intensity can be quantified by the ratio of irrigation water to the total harvest (<xref ref-type="bibr" rid="B1">Auci and Vignani, 2021</xref>). Nebraska (United States) has provided a data repository (<ext-link ext-link-type="uri" xlink:href="https://dnr.nebraska.gov/groundwater">https://dnr.nebraska.gov/groundwater</ext-link>) containing the information of number, position, and <italic>GL</italic> depth for each well, which is essential for estimating regional water use in a groundwater-based agricultural system. The depth of <italic>GL</italic> is also related to the water yield or efficiency of wells, and determines irrigation schedule and required energy during peak irrigation periods. Once the depth of the normal <italic>GL</italic> exceeds the pump head, the pumping costs increase, especially in areas with shallow tube-wells (<xref ref-type="bibr" rid="B16">Gao et al., 2015</xref>; <xref ref-type="bibr" rid="B33">Salem et al., 2017</xref>). <italic>GL</italic>, therefore, is extremely important not only for agricultural production, but also for energy consumption, and profoundly influences the water&#x2013;energy&#x2013;food nexus around the world (<xref ref-type="bibr" rid="B12">Famiglietti, 2014</xref>; <xref ref-type="bibr" rid="B36">Schyns et al., 2019</xref>).</p>
<p>In recent decades, high irrigation intensities have led to large changes in groundwater storage (<xref ref-type="bibr" rid="B7">D&#xf6;ll et al., 2012</xref>) and even extensive anthropogenic contamination (<xref ref-type="bibr" rid="B21">Khan et al., 2022</xref>; <xref ref-type="bibr" rid="B31">Ravenscroft and Lytton, 2022</xref>) in aquifers. Severe groundwater depletion has occurred in regions that are already water-stressed, such as the North China Plain, much of the Indian sub-continent, and the Central High Plains of the United States (<xref ref-type="bibr" rid="B35">Scanlon et al., 2010</xref>; <xref ref-type="bibr" rid="B17">Hu et al., 2016</xref>; <xref ref-type="bibr" rid="B33">Salem et al., 2017</xref>). However, continuous pumping records from actual groundwater observations are always rare (<xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>). Most published irrigation estimates are based on scarce, very coarse, and scattered information, e.g., assumptions regarding the thickness and porosity of aquifers, national census reports, data from international organizations or statistical services (<xref ref-type="bibr" rid="B38">Siebert et al., 2010</xref>; <xref ref-type="bibr" rid="B13">Fan et al., 2013</xref>; <xref ref-type="bibr" rid="B12">Famiglietti, 2014</xref>; <xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>). As a result, there are large data gaps about the groundwater volume and the undulating saturated surface beneath the vadose zone (<xref ref-type="bibr" rid="B12">Famiglietti, 2014</xref>).</p>
<p>Adaptive adjustment of irrigation intensity is an important prerequisite for sustainable water management by improving use efficiency and enhancing replenishment of groundwater (<xref ref-type="bibr" rid="B38">Siebert et al., 2010</xref>; <xref ref-type="bibr" rid="B34">Scanlon et al., 2012</xref>; <xref ref-type="bibr" rid="B13">Fan et al., 2013</xref>). In regional agricultural system, irrigation intensity can be clearly characterized by changes in productivity and number of wells. However, irrigation wells are often unobservable through remote sensing approaches, and the users of groundwater resource rarely pay &#x201c;true cost&#x201d; due to the lack of supervision in most areas (<xref ref-type="bibr" rid="B28">OECD, 2012</xref>; <xref ref-type="bibr" rid="B10">EEA, 2021</xref>). These all affect the acquisition of accurate information on irrigation intensity, and interfere with the understanding of the quantitative relationship between agricultural scale, pumping cost and groundwater. Therefore, we chose a typical center-pivot irrigation area to study the quantitative relationship between irrigation intensity and <italic>GL</italic> in the agro-pastoral ecotone of northern China. Center-pivot irrigation (CPI), widely used in the world&#x2019;s arid and semi-arid regions, is a self-propelled apparatus that rotates around a pivot for sprinkling irrigation on cultivated land (<xref ref-type="bibr" rid="B29">O Shaughnessy and Rush, 2014</xref>). The CPI plots have distinctive geometric features that can be easily identified on satellite images. Our study had the following objectives: 1) to track the dynamics of irrigation intensity with land use changes during 2000&#x2013;2020; and 2) to reveal the relationship between irrigation intensity and the change in groundwater level (<italic>GL</italic>). We hypothesized that the changes in <italic>GL</italic> would be proportional to the irrigation intensity, and that the effect on aquifers would depend on aquifer depth.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Study Area</title>
<p>The study area (in Ar Horqin County, Chifeng City, Inner Mongolia) is located in the Horqin area of northern China&#x2019;s agro-pastoral ecotone (<xref ref-type="fig" rid="F1">Figure 1A</xref>). With the support of center-pivot irrigation (CPI) for the development of livestock grazing, this area has been known as &#x201c;China&#x2019;s grass industry center&#x201d; in recent years, and has shown the fastest <italic>NDVI</italic> (normalized difference vegetation index) growth rate around the Horqin area (<xref ref-type="fig" rid="F1">Figure 1B</xref>). It has thousands of CPI systems concentrated in an area of approximately 1,000&#xa0;km<sup>2</sup> (from 43&#xb0;22&#x2032; N to 43&#xb0;50&#x2032; N and 120&#xb0;10&#x2032; E to 120&#xb0;55&#x2032; E) that lies between the Uljimulun River, the Xilamulun River, and the West Liao River (flow from southwest to northeast, <xref ref-type="fig" rid="F1">Figure 1C</xref>). Depending on the size of the CPI (its radius), the irrigated area of each circular or fan-shaped plot can range from about 4.5 to 75&#xa0;ha (<xref ref-type="fig" rid="F1">Figures 1D&#x2013;F</xref>). Several forage species are cultivated in rotation in the irrigated area: <italic>Avena</italic> species Linn. and <italic>Medicago sativa</italic> Linn., either single or mixed in each plot (<xref ref-type="fig" rid="F1">Figure 1G</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location and spatial characteristics of the study area. <bold>(A)</bold> The Horqin area is in the southeastern part of northern China&#x2018;s agro-pastoral ecotone. <bold>(B)</bold> Change rate of the normalized difference vegetation index (NDVI) in the Horqin area from 2000 to 2021. <bold>(C)</bold> The distribution of center-pivot irrigation systems that were implemented from 2005 to 2020. <bold>(D)</bold> Landsat image of the study area in 2020, with magnification of local Landsat images in 2005 <bold>(E)</bold> and 2015 <bold>(F)</bold>, and an aerial photograph of a center-pivot irrigation system <bold>(G)</bold>. <bold>(H)</bold> The interannual dynamics of precipitation and air temperature in the past half century from a national reference climatological station (43&#x00B0;36&#x2032; 0&#x2033; N, 121&#x00B0;16&#x2032;58.8&#x2033; E) approximately 45 km east of the study area A, B.</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g001.tif"/>
</fig>
<p>The study area has a temperate continental semi-arid monsoonal climate, with a mean annual temperature of 5.5&#xb0;C (mean monthly temperatures ranging from -12.8&#xb0;C in January to 23.4&#xb0;C in August) and total annual precipitation of 368&#xa0;mm (<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn/">www.resdc.cn</ext-link>), of which 75% falls during the growing season from June to September. The total annual potential evaporation is 1800&#x2013;2000&#xa0;mm (<xref ref-type="bibr" rid="B46">Zhao et al., 2009</xref>). The elevation ranges from 259 to 367&#xa0;m asl (<xref ref-type="bibr" rid="B19">Jarvis et al., 2008</xref>).</p>
</sec>
<sec id="s2-2">
<title>2.2 Geology and Hydrogeology</title>
<p>Geologically, the study area belongs to the subsidence zone from the Greater Khingan Mountains to the western Songliao Plain of China, and the paleosol and aeolian sand form interlayers. The underlying strata are loose alluvial and aeolian sediments of Quaternary, mainly medium and fine sand (diameter of 0.10&#x2013;0.50&#xa0;mm) in the various cracks with relatively high-water content or reserves. The thickness of the sedimentary layer varies from about 100 to 200&#xa0;m (<xref ref-type="bibr" rid="B30">Qiu, 1989</xref>). The dominant zonal soils of this area are Arenosols mainly degraded from Kastanozems and Chernozems based on the taxonomy of the World Reference Base for Soil Resources (<xref ref-type="bibr" rid="B18">IUSS Working Group WRB, 2006</xref>).</p>
<p>Hydrologically, water resource is relatively rich mainly from the Yanshan Mountains and the Greater Khingan Mountains. The large part of available groundwater resource is shallow phreatic water in the aeolian sediments (<xref ref-type="bibr" rid="B30">Qiu, 1989</xref>), and recharged by precipitation, river runoff. The groundwater discharge is mainly to artificial wells for irrigation and daily use (<xref ref-type="bibr" rid="B48">Zhong et al., 2018</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 Groundwater Level Measurements</title>
<p>The groundwater level in wells was measured using a water-stage recorder. The recorder is a 30-m steel ruler, wrapped with electric wire in a plastic shell and coiled around a hand wheel. A 10-cm stainless-steel probe is connected at the start of the tick marks on the ruler. The weight of the probe keeps the ruler perpendicular while it is inside the well. When the probe touches the water surface, a buzzer on the hand wheel sounds; when the probe is removed from the water, the buzzer stops immediately. The tick marks on the ruler from the ground surface represents the depth of the groundwater level. However, most of the gaps between the well edge and the pumping pipe of a CPI system are too narrow for the probe to enter or to reach the water surface inside the well, so it was not possible to measure in all wells. Although there are thousands of wells in this area, we were only able to find 42 irrigation wells at representative locations where we could monitor <italic>GL</italic> spatially from April 2019 to April 2022, including both CPI wells and conventional irrigation wells that without CPI system (<xref ref-type="fig" rid="F1">Figure 1C</xref>). During our monthly monitoring in 2019, we found it difficult to measure all the target wells at normal level in same period (<italic>t</italic>) by excluding the lag effect of pumping, because there were sharp decreases which corresponded to <italic>GL</italic> measurements after an irrigation event. Since 2020, we have only monitored <italic>GL</italic> at the beginning of the irrigation period (in early April) and at the end (in Mid-October). We calculated the changes in <italic>GL</italic> (&#x394;<italic>GL</italic>) during discharge (irrigation) and subsequent recharge as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">discharge</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">recharge</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3e; 0 indicates groundwater discharge (irrigation) and decreased <italic>GL</italic> and &#x394;<italic>GL</italic> &#x3c; 0 indicates groundwater recharge and increased <italic>GL</italic>; <italic>t</italic>
<sub>1</sub> and <italic>t</italic>
<sub>2</sub> represent the beginning and end of the monitoring in a given year, and <italic>t</italic>
<sub>3</sub> represents the beginning of the following year. Therefore, <italic>t</italic>
<sub>1</sub> to <italic>t</italic>
<sub>2</sub> is the groundwater discharge (irrigation) period, <italic>t</italic>
<sub>2</sub> to <italic>t</italic>
<sub>3</sub> is the groundwater recharge period. The 42 (<italic>N</italic>) measuring wells were divided into three groups according to the normal <italic>GL</italic>: shallower (<italic>n1</italic> &#x3d; 9), &#x3c;10&#xa0;m; medium (<italic>n2</italic> &#x3d; 19), &#x3e;10&#xa0;m and &#x3c;20&#xa0;m; deeper (<italic>n3</italic> &#x3d; 14), &#x3e;20&#xa0;m.</p>
</sec>
<sec id="s2-4">
<title>2.4 Irrigation Intensity of Center-Pivot Irrigation Systems</title>
<p>The irrigation method in this study area is basically unified, i.e., the automatic sprinkler irrigation through tube wells of CPI systems. Thus, density of irrigation well can serve as a reasonable proxy for irrigation intensity. In addition, the change in cropping intensity (<xref ref-type="bibr" rid="B9">Duarte and Mateos, 2022</xref>) from natural to artificial ecosystems can validate the increased irrigation intensity.</p>
<sec id="s2-4-1">
<title>2.4.1 Density of Irrigation Well</title>
<p>To identify irrigation intensity by well density, Landsat 5 TM images (2005, 2006, 2008, and 2010) and Landsat 8 OLI images (2013, 2015, 2017, 2019, and 2020) were obtained from the global visualization viewer of United States Geological Survey (<ext-link ext-link-type="uri" xlink:href="https://glovis.usgs.gov/">https://glovis.usgs.gov/</ext-link>). The images were obtained in July or August. We also obtained Gaofen-1 satellite images (2018) in August from the Geospatial Data Cloud site, Computer Network Information Center, Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/">https://www.gscloud.cn</ext-link>). The spatial resolutions were 30&#xa0;m for the Landsat images, and 2&#xa0;m for the Gaofen images. All images were overlaid in ArcGIS Pro (<ext-link ext-link-type="uri" xlink:href="http://www.esri.com/">www.esri.com</ext-link>) to locate the center of each CPI well in time series. We assembled 1,598 wells of existing CPI systems and estimated the kernel density in 2000, 2005, 2010, 2015, and 2020 to allow monitoring of the changes over time.</p>
<p>Kernel density estimation is a mathematical technique that calculates the magnitude of density in space based on the detection of point or polyline features (<xref ref-type="bibr" rid="B11">ESRI Inc., 2020</xref>). The analysis uses a kernel function to fit a smoothly tapered response surface that provides an estimate of the probability-density function. It can be expressed mathematically as follows:<disp-formula id="e3">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>f</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi>
</mml:mfrac>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mi>h</mml:mi>
</mml:mfrac>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>x</italic>
<sub>
<italic>i</italic>
</sub> (<italic>i &#x3d;</italic> 1, 2, &#x2026;, <italic>n</italic>) is the <italic>i</italic>-th sample point. <italic>x</italic>&#x2013;<italic>x</italic>
<sub>
<italic>i</italic>
</sub> is the distance of that observation from a particular point <italic>x</italic>, <italic>K</italic>
<sub>
<italic>h</italic>
</sub>(<italic>x</italic>) is the chosen kernel function, and <italic>h</italic> is the bandwidth (<xref ref-type="bibr" rid="B42">Wglarczyk, 2018</xref>). For more details, please see <ext-link ext-link-type="uri" xlink:href="https://mathisonian.github.io/kde/">https://mathisonian.github.io/kde/</ext-link>.</p>
</sec>
<sec id="s2-4-2">
<title>2.4.2 Cropping Intensity</title>
<p>Cropping intensity was measured in terms of normalized difference vegetation index (<italic>NDVI</italic>, regional) and aboveground biomass (plot) for the change from natural grassland to cultivated pasture.</p>
<p>For the <italic>NDVI</italic> dataset, we used the MODIS/Terra Vegetation Indices product (MOD13Q1), which has a 16-day repeat cycle and a 250-m spatial resolution (<xref ref-type="bibr" rid="B6">Didan, 2015</xref>). The data was obtained by using the Application for Extracting and Exploring Analysis Ready Samples (<italic>A&#x3c1;&#x3c1;</italic>EEARS), which offers an efficient way to access and transform geospatial data through area samples by extracting polygons that can be used in GIS software (<ext-link ext-link-type="uri" xlink:href="https://lpdaacsvc.cr.usgs.gov/appeears/">https://lpdaacsvc.cr.usgs.gov/appeears/</ext-link>). Annual <italic>NDVI</italic> sequences were derived from all 16-day values for each year from 2000 to 2021. We used the annual maximum <italic>NDVI</italic>, which were obtained by maximum value compositing method.</p>
<p>We extracted annual <italic>NDVI</italic> values related to the locations of each CPI system, respectively, divided into two periods by the start year of implementing CPI (<xref ref-type="fig" rid="F1">Figure 1C</xref>), i.e., <italic>NDVI</italic>
<sub>NG</sub> (natural grassland, values before the start year) and <italic>NDVI</italic>
<sub>CP</sub> (cultivated pasture, values from the start year). Note that in this comparison, &#x201c;NG&#x201d; refers to all years before the start year, and &#x201c;CP&#x201d; refers to all years from the start year, rather than a single year.</p>
<p>Ordinary least-squares regression is frequently used to describe the variation within a sequence of data. In this study, we analyzed the <italic>NDVI</italic> trends for individual pixels in our study area using the following formula:<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x398;</mml:mtext>
<mml:mrow>
<mml:mtext>slope</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>i</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>i</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>i</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where &#x398;<sub>slope</sub> is the slope of the linear regression equation; NDVI<sub>i</sub> is the annual maximum value in the ith year; and n is the number of years in the study period (here, between 2000 and 2021). &#x398;<sub>slope</sub> &#x3c; 0 represent a decrease in NDVI during the period, whereas &#x398;<sub>slope</sub> &#x3e; 0 represent an increase (<xref ref-type="bibr" rid="B24">Lian et al., 2017</xref>).</p>
<p>We measured the live aboveground biomass before mowing in late August, including both natural grassland (8 plots) and cultivated pasture irrigated by a CPI system (<xref ref-type="fig" rid="F1">Figures 1D&#x2013;G</xref>, 11 plots, 5 for <italic>Avena</italic> species and 6 for <italic>Medicago sativa</italic>) in different parts of the study area. We randomly established three quadrats (each 1 &#xd7; 1&#xa0;m) in each plot. All the aboveground living biomass was harvested by mowing method in each quadrat, and taken to the laboratory for oven-drying at 70&#xb0;C to a constant weight (<xref ref-type="bibr" rid="B27">Ni, 2004</xref>).</p>
</sec>
</sec>
<sec id="s2-5">
<title>2.5 Statistical and Prediction Methods</title>
<sec id="s2-5-1">
<title>2.5.1 Regression Kriging for Prediction of Spatial Groundwater Level</title>
<p>Regression kriging combines least-squares regression with simple kriging to analyze both the trend term &#xb5;(<italic>x</italic>) of the least-squares regression (non-geostatistical) with the residual term &#x3b5;&#x2019;(<italic>x</italic>) from the geostatistical analysis:<disp-formula id="e5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <italic>Z</italic>(<italic>x</italic>) and <italic>&#x3b5;</italic>&#x27;&#x27;(<italic>x</italic>) represent the random variable <italic>Z</italic> and the unexplained variation at location <italic>x</italic>, respectively (<xref ref-type="bibr" rid="B20">Keskin and Grunwald, 2018</xref>). We used the geostatistical wizard provided by ArcGIS Pro (<ext-link ext-link-type="uri" xlink:href="http://www.esri.com">www.esri.com</ext-link>) to perform prediction of the depth of <italic>GL</italic> and &#x394;<italic>GL</italic> by combining empirical Bayesian kriging with the explanatory raster data of elevation. The elevation data was obtained from the Shuttle Radar Telemetry Mission DEM product (<xref ref-type="bibr" rid="B19">Jarvis et al., 2008</xref>). This approach provides a more reliable estimate than other kriging methods, because it accounts for the uncertainty of semivariogram estimation (<xref ref-type="bibr" rid="B11">ESRI Inc., 2020</xref>).</p>
<p>We also estimated the theoretical minimums of energy consumption when pumping through wells of CPI systems. It was the increase in gravitational potential energy (&#x394;<italic>GPE</italic> &#x3e; 0, Joule) per unit mass of groundwater (e.g., 100&#xa0;kg) that pumped to the ground surface (<xref ref-type="bibr" rid="B39">Tan, 2008</xref>) during 2019&#x2013;2021, based on the spatial prediction of the depth of <italic>GL</italic>.<disp-formula id="e6">
<mml:math id="m7">
<mml:mrow>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi>&#x3d;</mml:mi>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi mathvariant="italic">GPE&#x3d;m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="italic">g</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <italic>m</italic> (kg), <italic>g</italic> (9.8&#xa0;m&#xa0;s<sup>&#x2212;2</sup>), and &#x394;<italic>h</italic> (m) represent the mass of groundwater, gravitational acceleration (constant, without considering the slight change during vertical displacement), and the displacement of the groundwater (distance from <italic>GL</italic> to the ground), respectively.</p>
</sec>
<sec id="s2-5-2">
<title>2.5.2 Statistical Methods</title>
<p>We used paired-sample <italic>t</italic>-tests (with significance at <italic>p</italic> &#x3c; 0.01) to compare <italic>NDVI</italic>
<sub>NG</sub> and <italic>NDVI</italic>
<sub>CP</sub>, and used Duncan&#x2019;s new multiple-range test (with significance at <italic>p</italic> &#x3c; 0.05) to perform one-way ANOVA to reveal differences of &#x394;<italic>GL</italic> of measuring well between three groups, and aboveground biomass between natural and cultivated pasture. We have natural-logarithm-transformed the variables which didn&#x2019;t pass the Kolmogorov&#x2013;Smirnov test (<italic>p</italic> &#x3c; 0.05).</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Spatial and Temporal Dynamics of Well Density of Center-Pivot Irrigation System</title>
<p>Based on the satellite images, <xref ref-type="table" rid="T1">Table 1</xref> showed that the implementation of CPI systems went through an exploratory stage from 2005 to 2012, followed by rapid expansion, reaching great peaks in 2013, 2015, and 2017, respectively, with 539, 308, and 573 new wells added, accounting for 88.9% of the total number during the study period. <xref ref-type="fig" rid="F2">Figure 2</xref> showed the changes in the spatial pattern of CPI wells over four 5-year periods. The land use type was natural grassland with few irrigation facilities before 2005 (<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="table" rid="T1">Table 1</xref>). In 2005, CPI started at only two locations, with well densities of 0.16 and less than 0.10&#xa0;km<sup>&#x2212;2</sup> (<xref ref-type="fig" rid="F2">Figure 2B</xref>). From 2005 to 2010, CPI still developed slowly with the highest well density (0.64&#xa0;km<sup>&#x2212;2</sup>) in the middle of the study area (<xref ref-type="fig" rid="F2">Figure 2C</xref>). Then, the density increased rapidly between 2013 and 2015, from 0.64 to 2.52 wells km<sup>&#x2212;2</sup> and formed multiple hotspots (<xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="fig" rid="F2">Figure 2D</xref>). From 2015 to 2020, the multiple hotspots combined to form contiguous CPI area in the southern part of the study area, and two large centers (&#x3e;1.01 and 2.31 wells km<sup>&#x2212;2</sup>) appeared in the northern part (<xref ref-type="fig" rid="F2">Figure 2E</xref>). Thus, the gaps were shrinking between CPI wells as the area of higher well density expanding.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Changes in the number of new center-pivot irrigation wells.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Start year</th>
<th align="center">No. of new wells</th>
<th align="center">Percent of total wells (%)</th>
<th align="center">Start year</th>
<th align="center">No. of new wells</th>
<th align="center">Percent of total wells (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2005</td>
<td align="center">8</td>
<td align="char" char=".">0.50</td>
<td align="center">2015</td>
<td align="center">308</td>
<td align="char" char=".">19.27</td>
</tr>
<tr>
<td align="left">2006</td>
<td align="center">14</td>
<td align="char" char=".">0.88</td>
<td align="center">2017</td>
<td align="center">573</td>
<td align="char" char=".">35.86</td>
</tr>
<tr>
<td align="left">2008</td>
<td align="center">11</td>
<td align="char" char=".">0.69</td>
<td align="center">2018</td>
<td align="center">41</td>
<td align="char" char=".">2.57</td>
</tr>
<tr>
<td align="left">2010</td>
<td align="center">15</td>
<td align="char" char=".">0.94</td>
<td align="center">2019</td>
<td align="center">54</td>
<td align="char" char=".">3.38</td>
</tr>
<tr>
<td align="left">2013</td>
<td align="center">539</td>
<td align="char" char=".">33.73</td>
<td align="center">2020</td>
<td align="center">35</td>
<td align="char" char=".">2.19</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Kernel density estimates for the center-pivot irrigation wells. <bold>(A)</bold> 2000, <bold>(B)</bold> 2005, <bold>(C)</bold> 2010, <bold>(D)</bold> 2015, and <bold>(E)</bold> 2020.</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Groundwater Level Dynamics at Different Depths</title>
<p>The <italic>GL</italic> trends of the three groups were basically the same during the monitoring time from 2019 to 2022 (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). The changes in &#x394;<italic>GL</italic> indicated that the discharge of groundwater accelerated as the normal <italic>GL</italic> decreased, because the averaged &#x394;<italic>GL</italic> in the deeper group (0.94&#xa0;m for <italic>GL</italic> &#x3e; 20&#xa0;m) was significantly higher than those of the shallower group (0.64&#xa0;m for <italic>GL</italic> &#x3c; 10&#xa0;m) and medium group (0.73&#xa0;m for 10&#xa0;m &#x3c; <italic>GL</italic> &#x3c; 20&#xa0;m) (<xref ref-type="fig" rid="F3">Figure 3A</xref>). During groundwater recharge period, the averaged &#x394;<italic>GL</italic> in the deeper (&#x2212;0.29&#xa0;m) and medium groups (&#x2212;0.29&#xa0;m) were significantly higher than that in the shallower group (&#x2212;0.12&#xa0;m) (<xref ref-type="fig" rid="F3">Figure 3B</xref>). Combined the two periods (<xref ref-type="fig" rid="F3">Figures 3A,B</xref>), it revealed that the deeper group showed a significantly greater net decrease (0.63&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>) than the shallower group (0.38&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>) and medium group (0.43&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>) (<xref ref-type="fig" rid="F3">Figure 3C</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Change in the groundwater level (&#x394;<italic>GL</italic>) from 2019 to 2022. Box-whisker plots show the mean (square), median (solid line) in the boxes, and the 5th and 95th percentiles on the whiskers. <bold>(A)</bold> The groundwater discharge (irrigation) period, with &#x394;<italic>GL</italic> from April to October within the year; <bold>(B)</bold> The groundwater recharge period, with &#x394;<italic>GL</italic> from October to the following April; and <bold>(C)</bold> &#x394;<italic>GL</italic>
<sub>interannual</sub>, which represents the net change from October to the following October. The statistical significances are marked with lowercase letters (<italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Relationships Between Groundwater Level and Well Density of Center-Pivot Irrigation System</title>
<p>Regression kriging was used to predict the spatial patterns of &#x394;<italic>GL</italic> and <italic>GL</italic>, which were significantly and positively (<italic>R</italic>
<sup>2</sup> &#x3d; 0.447 and 0.429, <italic>p</italic> &#x3c; 0.001, <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>) correlated with the well density (kernel density) of CPI system, respectively. It showed a fitted plane function in the 3D coordinate system based on the variables (<italic>R</italic>
<sup>2</sup> &#x3d; 0.655, <italic>p</italic> &#x3c; 0.001, <xref ref-type="fig" rid="F4">Figure 4</xref>). The predicted trend of <italic>GL</italic> was consistent with the observed change, and indicated a significant positive linear relationship between &#x394;<italic>GL</italic> and <italic>GL</italic> (<italic>R</italic>
<sup>2</sup> &#x3d; 0.612, <italic>p</italic> &#x3c; 0.001, <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). Therefore, &#x394;<italic>GL</italic> was determined by the both well density and the depth of <italic>GL</italic>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Relationships among &#x394;<italic>GL</italic> (the change of the groundwater level from April 2019 to October 2021), <italic>KD</italic> (kernel density in 2020), and <italic>GL</italic> (the mean in Octobers). Each sphere represented a CPI well. The plane function is represented as z &#x3d; z<sub>0</sub> &#x2b; a&#x2a;x &#x2b; b&#x2a;y, and all parameters of z<sub>0</sub>, a, and b are significant (<italic>p</italic> &#x3c; 0.001).</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Cropping Intensity Affect Irrigation Intensity in the Agro-Pastoral Ecotone</title>
<p>Cropping intensity represents the combination of agricultural water use and land use patterns, which can directly associate with irrigation intensity. It is determined by agricultural policies, social-economic factors, and farmers&#x2019; subjective wishes (<xref ref-type="bibr" rid="B9">Duarte and Mateos, 2022</xref>). As more than 60% of the water area has shrunk in the Horqin area (<xref ref-type="bibr" rid="B40">Tao et al., 2015</xref>), the use of well irrigation has expanded rapidly since 2000 and the groundwater-based irrigation is increasing year by year to make up for the lack of rainfall and surface water (<xref ref-type="bibr" rid="B48">Zhong et al., 2018</xref>). A 2013 questionnaire survey in the middle of the agro-pastoral ecotone (around the Yinshan Mountains) showed that 31% of the local farmers had turned dry land into irrigated land (<xref ref-type="bibr" rid="B41">Wang et al., 2020</xref>).</p>
<p>Stable water availability is considered as the most critical guarantees for crop production (<xref ref-type="bibr" rid="B1">Auci and Vignani, 2021</xref>), particularly in agricultural areas with frequent drought (<xref ref-type="bibr" rid="B3">Bryan et al., 2013</xref>; <xref ref-type="bibr" rid="B22">Khan et al., 2021</xref>). Our kernel density results suggested that the implementation of high-density, high-efficiency, and large-scale CPI systems initiated a new mode of land-use change. Both the regional <italic>NDVI</italic> and quadrat-based survey indicated that the cropping intensity was significantly enhanced (<italic>p</italic> &#x3c; 0.01) after implementation of CPI systems, as shown between natural grassland and cultivated pastures (<xref ref-type="fig" rid="F5">Figures 5A,B</xref> and <xref ref-type="table" rid="T2">Table 2</xref>). The <italic>NDVI</italic>
<sub>CP</sub> was significantly higher than the <italic>NDVI</italic>
<sub>NG</sub> (<italic>p</italic> &#x3c; 0.01), with an increase of 30.6%&#x2013;59.2%. The aboveground biomass of <italic>Avena</italic> species (503.6 &#xb1; 40.7&#xa0;g&#xa0;m<sup>&#x2212;2</sup>) and <italic>Medicago sativa</italic> (270.0 &#xb1; 7.6&#xa0;g&#xa0;m<sup>&#x2212;2</sup>) were significantly higher (<italic>p</italic> &#x3c; 0.01) than that of natural grassland (182.2 &#xb1; 11.1&#xa0;g&#xa0;m<sup>&#x2212;2</sup>) by 176.4% and 48.7%, respectively. Due to the difference in cropping intensity, the CPI area was clearly separated from the non-irrigated area, because the <italic>NDVI</italic>
<sub>slope</sub> of non-irrigated area was much lower than that of CPI area, even showing a negative trend of slight degradation (<xref ref-type="fig" rid="F5">Figure 5C</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison of the normalized difference vegetation index (<italic>NDVI</italic>) and aboveground biomass between natural grassland (NG) and cultivated pasture (CP). <bold>(A)</bold> Relationship between <italic>NDVI</italic>
<sub>NG</sub> and <italic>NDVI</italic>
<sub>CP</sub> divided by the start year of irrigation (<italic>NDVI</italic>
<sub>NG</sub>, values before the start year, natural grassland; <italic>NDVI</italic>
<sub>CP</sub>, values from the start year, cultivated pasture, e.g., 2010 represents the mean from 2010 to 2021). <bold>(B)</bold> Differences in aboveground biomass between natural grassland and the cultivated pastures. <bold>(C)</bold> Trend of <italic>NDVI</italic> (<italic>NDVI</italic>
<sub>slope</sub>) from 2000 to 2021 related to the locations of the center-pivot irrigation (CPI) wells.</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g005.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Changes in the normalized difference vegetation index (<italic>NDVI</italic>) between natural grassland (NG) and cultivated pasture (CP). <italic>NDVI</italic> values (mean &#xb1; SE) are labeled with different letters for significance (<italic>t</italic>-test, <italic>p</italic> &#x3c; 0.01). The <italic>NDVI</italic>
<sub>slope</sub> represents <italic>NDVI</italic> trend from 2000 to 2021.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Start year</th>
<th align="center">
<italic>NDVI</italic>
<sub>NG</sub>
</th>
<th align="center">
<italic>NDVI</italic>
<sub>CP</sub>
</th>
<th align="center">
<italic>NDVI</italic>
<sub>slope</sub> (yr<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2005</td>
<td align="char" char="plusmn">0.622 &#xb1; 0.005 a</td>
<td align="char" char="plusmn">0.8125 &#xb1; 0.006 b</td>
<td align="char" char="plusmn">0.0135 &#xb1; 0.0003</td>
</tr>
<tr>
<td align="left">2006</td>
<td align="char" char="plusmn">0.625 &#xb1; 0.008 a</td>
<td align="char" char="plusmn">0.8167 &#xb1; 0.006 b</td>
<td align="char" char="plusmn">0.0150 &#xb1; 0.0006</td>
</tr>
<tr>
<td align="left">2008</td>
<td align="char" char="plusmn">0.534 &#xb1; 0.008 a</td>
<td align="char" char="plusmn">0.7867 &#xb1; 0.011 b</td>
<td align="char" char="plusmn">0.0211 &#xb1; 0.0008</td>
</tr>
<tr>
<td align="left">2010</td>
<td align="char" char="plusmn">0.540 &#xb1; 0.015 a</td>
<td align="char" char="plusmn">0.8183 &#xb1; 0.010 b</td>
<td align="char" char="plusmn">0.0209 &#xb1; 0.0011</td>
</tr>
<tr>
<td align="left">2013</td>
<td align="char" char="plusmn">0.541 &#xb1; 0.002 a</td>
<td align="char" char="plusmn">0.8617 &#xb1; 0.002 b</td>
<td align="char" char="plusmn">0.0224 &#xb1; 0.0002</td>
</tr>
<tr>
<td align="left">2015</td>
<td align="char" char="plusmn">0.549 &#xb1; 0.003 a</td>
<td align="char" char="plusmn">0.8689 &#xb1; 0.003 b</td>
<td align="char" char="plusmn">0.0212 &#xb1; 0.0002</td>
</tr>
<tr>
<td align="left">2017</td>
<td align="char" char="plusmn">0.551 &#xb1; 0.003 a</td>
<td align="char" char="plusmn">0.8360 &#xb1; 0.003 b</td>
<td align="char" char="plusmn">0.0165 &#xb1; 0.0002</td>
</tr>
<tr>
<td align="left">2018</td>
<td align="char" char="plusmn">0.553 &#xb1; 0.009 a</td>
<td align="char" char="plusmn">0.8444 &#xb1; 0.009 b</td>
<td align="char" char="plusmn">0.0156 &#xb1; 0.0005</td>
</tr>
<tr>
<td align="left">2019</td>
<td align="char" char="plusmn">0.550 &#xb1; 0.011 a</td>
<td align="char" char="plusmn">0.8182 &#xb1; 0.010 b</td>
<td align="char" char="plusmn">0.0128 &#xb1; 0.0005</td>
</tr>
<tr>
<td align="left">2020</td>
<td align="char" char="plusmn">0.585 &#xb1; 0.010 a</td>
<td align="char" char="plusmn">0.8463 &#xb1; 0.008 b</td>
<td align="char" char="plusmn">0.0108 &#xb1; 0.0010</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Risks and Countermeasures of Groundwater Depletion Based on Irrigation Intensity</title>
<p>
<italic>GL</italic> is generally affected by the dynamic balance between the recharge and discharge to aquifer storage, including natural (<xref ref-type="bibr" rid="B25">Liu et al., 2022</xref>) and anthropogenic factors (<xref ref-type="bibr" rid="B45">Zencich et al., 2002</xref>; <xref ref-type="bibr" rid="B37">Seeyan et al., 2014</xref>). The causes of &#x394;<italic>GL</italic> are always complex from shallow to deep aquifers, including rainfall and evapotranspiration (<xref ref-type="bibr" rid="B2">Bai et al., 2017</xref>), irrigated area and cost (<xref ref-type="bibr" rid="B15">Foster et al., 2015</xref>), and effectiveness of water-saving approaches and sustainable water management (<xref ref-type="bibr" rid="B26">Malki et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Salem et al., 2017</xref>). Sustainable use of irrigation water aims to increase crop yields with less water input by improved water management efficiency (<xref ref-type="bibr" rid="B4">Chartzoulakis and Bertaki, 2015</xref>). In our study area, the observed &#x394;<italic>GL</italic> was mainly caused by human activities. It was consistent with the trend (1975&#x2013;2000) that had been reported for the Hebei plains in northern China, where the &#x394;<italic>GL</italic> ranged from 0.42&#xa0;m&#xa0;yr<sup>&#x2212;1</sup> to more than 1.21&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>, respectively, in shallow and deep aquifers (<xref ref-type="bibr" rid="B8">Duan and Xiao, 2003</xref>). The &#x394;<italic>GL</italic> at different depths suggested that shallow groundwater may be relatively susceptible to replenishment by rainfall and subsurface flow (<xref ref-type="bibr" rid="B44">Xie et al., 2011</xref>; <xref ref-type="bibr" rid="B16">Gao et al., 2015</xref>), while deep groundwater was more sensitive to water withdraw for irrigation (<xref ref-type="bibr" rid="B32">Russo and Lall, 2017</xref>).</p>
<p>Our study is also a typical case that related in water&#x2013;energy&#x2013;food nexus. The direct consequence of groundwater depletion is the increase in energy consumption for pumping. As more than 1,500 pumps have different power ratings and working hours, we roughly estimated the energy consumption for irrigation (14,521.7&#xa0;J on average) in terms of change in gravitational potential energy (&#x394;<italic>GPE</italic>) of water (each 100&#xa0;kg equals to 100&#xa0;mm water m<sup>&#x2212;2</sup>, <xref ref-type="fig" rid="F6">Figure 6A</xref>). Excessive density of CPI wells (deeper <italic>GL</italic>) not only led to a dramatic increase in the risk of unsustainable water use, but also increase energy consumption at a rate of over 800&#xa0;J&#xa0;yr<sup>&#x2212;1</sup> per 100&#xa0;kg water (<xref ref-type="fig" rid="F6">Figure 6B</xref>). Left unchecked, underpowered submersible pumps will have to be replaced, with irreversible effects on irrigation costs.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Change in gravitational potential energy (&#x394;<italic>GPE</italic>) during 2019&#x2013;2021. <bold>(A)</bold> Spatial pattern of &#x394;<italic>GPE</italic> from the average groundwater level in October to ground. <bold>(B)</bold> Increased &#x394;<italic>GPE</italic> based on averaged &#x394;<italic>GL</italic> (the change of the groundwater level). CPI, center-pivot irrigation.</p>
</caption>
<graphic xlink:href="fenvs-10-892577-g006.tif"/>
</fig>
<p>According to our results (<xref ref-type="fig" rid="F4">Figure 4</xref>), if the well density remains unchanged, and the depth of <italic>GL</italic> increase by 10&#xa0;m, the &#x394;<italic>GL</italic> will increase by about 0.19&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>; if <italic>GL</italic> is maintained at the same depth and the well density increases by 1.0 count km<sup>&#x2212;2</sup>, the &#x394;<italic>GL</italic> will increase by about 0.06&#xa0;m&#xa0;yr<sup>&#x2212;1</sup>. However, a limitation of our results is that it can only interpret the &#x394;<italic>GL</italic> pattern in recent years; whereas the current status of regional depth of <italic>GL</italic> should be the result of well density and its long-term changes. Thus, some studies believe that an appropriate water price can prompt users to conserve water and use water-saving technologies (<xref ref-type="bibr" rid="B1">Auci and Vignani, 2021</xref>). At the same time, excessively dense wells should be adjusted (e.g., kept within 0.5 count km<sup>&#x2212;2</sup>). Compared to <italic>Avena</italic> species, <italic>Medicago sativa</italic> (perennial) should be recommended to reduce both water consumption and soil tillage. Water use mode in the past should be changed by new irrigation schedule, and further research is needed on water use efficiency of cultivated pasture.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>This study preliminarily attempted to explore the effect of regional intensity of center-pivot irrigation on groundwater level at different depths. From the perspective of land use change since 2000, the implementation of high-density, high-efficiency, and large-scale CPI system has significantly enhanced the regional irrigation intensity. The deeper groundwater was more sensitive to water withdrawal for irrigation than that of shallower groundwater because of the different well densities.</p>
<p>The combination of intensive agricultural water use and land use creates the potential risks of unsustainable water availability, which could dramatically increase irrigation costs in the foreseeable future. Water resource managers should strictly control the density of center-pivot irrigation systems, adjust irrigation schedule and forage varieties in hotspot areas, and ensure the sustainable availability of groundwater.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>All datasets generated for this study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>. For further inquiries, please contact the corresponding author or the first author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>All co-authors contributed to the manuscript. JL, YLL, and YQL designed and performed the experiments. XZ and TZ conceived the experiments, and modified the manuscript. XiW, XuW, LW, and RZ were responsible for data observation, collection, and processing of the materials. JL, YLL, and YQL processed and analysed the data, and wrote this paper.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was financially supported by the National Natural Science Foundation of China (grant 41807525), the Key Science and Technology Program of Inner Mongolia (grant 2021ZD0015), the National Natural Science Foundation of China (grant 42177456 and 31971466), and the National Basic Resources Survey Project of China (grant 2017FY100200).</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>
<ack>
<p>We thank our colleagues at the Naiman Desertification Research Station, Chinese Academy of Sciences, for their help with the field investigation. We thank the journal&#x2019;s reviewers for their constructive comments on the manuscript.</p>
</ack>
<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.2022.892577/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2022.892577/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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