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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1037688</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1037688</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effects of climate change and agricultural expansion on groundwater storage in the Amur River Basin</article-title>
<alt-title alt-title-type="left-running-head">Zhang 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/feart.2022.1037688">10.3389/feart.2022.1037688</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Zhengang</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/1992746/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Song</surname>
<given-names>Changchun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</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/1322883/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Guo</surname>
<given-names>Yuedong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Panxing</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1785598/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Ning</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Jianzhao</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/1983605/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yifei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zuo</surname>
<given-names>Yunjiang</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/1806073/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xing</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>Key Laboratory of Wetland Ecology and Environment</institution>, <institution>Northeast Institute of Geography and Agroecology</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Changchun</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>University of Chinese Academy Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Hydraulic Engineering</institution>, <institution>Dalian University of Technology</institution>, <addr-line>Dalian</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Ministry of Education Key Laboratory for Western Arid Region Grassland Resources and Ecology</institution>, <institution>Xinjiang Agricultural University</institution>, <addr-line>Urumqi</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1295442/overview">Guobin Fu</ext-link>, CSIRO Land and Water, Australia</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/1726513/overview">Haijun Deng</ext-link>, Fujian Normal University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1995354/overview">Zhiming Han</ext-link>, Northwest A &#x26; F University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Changchun Song, <email>songcc@iga.ac.cn</email>; Yuedong Guo, <email>guoyuedong@iga.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Hydrosphere, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1037688</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>09</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>09</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Zhang, Song, Guo, He, Chen, Liu, Zhang, Zuo and Zhang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Zhang, Song, Guo, He, Chen, Liu, Zhang, Zuo 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>Since the 1990s, the climate in the Amur River Basin (ARB) has changed, and large-scale wetlands in the region have been reclaimed for paddy fields. The study of the influence of climate change and agricultural expansion on groundwater storage is of great significance to the evaluation of regional water resource balance and the promotion of ecological protection and agricultural development. In this work, the groundwater storage anomaly (GWSA) in the ARB and its drivers were analyzed for the period 2003&#x2013;2016 using Gravity Recovery and Climate Experiment (GRACE) satellite data, a Global Land Data Assimilation System model, and <italic>in situ</italic> observations of groundwater levels. Results indicated that 1) the GWSA in the ARB increased at a rate of 2.0&#x2013;2.4&#xa0;mm/yr from 2003 to 2016; the GWSA in the upper reaches of the ARB increased, whereas the GWSA in the middle and lower reaches decreased during the study period. 2) The GWSA in the middle and lower reaches of the ARB was greatly influenced by temperature (Tmp) and evapotranspiration (ET). Tmp was positively correlated with GWSA, whereas ET was negatively correlated with GWSA (<italic>p</italic> &#x3c; 0.05). 3) Extreme rainfall had a delayed effect on groundwater recharge. Wetland degradation and agricultural development were the main factors causing the decrease of the GWSA in the middle and lower reaches of the ARB. In summary, temperature and evapotranspiration affect groundwater storage by regulating the water&#x2013;heat balance, wetland reclamation reduces the regional storage capacity, and the irrigation required for reclaimed farmland is the main source of groundwater loss.</p>
</abstract>
<kwd-group>
<kwd>groundwater storage</kwd>
<kwd>grace</kwd>
<kwd>climate change</kwd>
<kwd>Amur River Basin</kwd>
<kwd>agricultural expansion</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Highlights</title>
<p>
<list list-type="simple">
<list-item>
<p>1. Groundwater storage (GWS) in the upper Amur River Basin (ARB) increased during 2003&#x2013;2016</p>
</list-item>
<list-item>
<p>2. GWS in the lower ARB reduced due to wetland degradation and agricultural expansion</p>
</list-item>
<list-item>
<p>3. Temperature and evapotranspiration affect GWS by regulating the water&#x2013;heat balance</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2">
<title>Introduction</title>
<p>Groundwater accounts for approximately 30% of the world&#x2019;s freshwater. As an important part of the global water cycle, groundwater serves as a crucial link between the water cycle and climate change (<xref ref-type="bibr" rid="B33">Konikow and Kendy, 2005</xref>; <xref ref-type="bibr" rid="B66">Taylor et al., 2012</xref>). Globally, approximately 2.34 &#xd7; 10<sup>7</sup>&#xa0;km&#xb3; of water is stored in aquifers, accounting for about half of all freshwater and only 2.5% of the total water storage available on the earth (<xref ref-type="bibr" rid="B57">Oki and Kanae, 2006</xref>). Between 1900 and 2008, the global groundwater consumption was estimated to be 4.5 &#xd7; 10<sup>3</sup>&#xa0;km<sup>3</sup> (<xref ref-type="bibr" rid="B32">Konikow, 2011</xref>), which posed a major threat to global water security and potentially led to a decline in agricultural productivity and energy production. Changes in evapotranspiration, atmospheric water vapor, and precipitation cause changes in the global hydrological cycle (<xref ref-type="bibr" rid="B31">IPCC, 2013</xref>), which in turn affect subsurface hydrologic dynamics and lead to changes in the recharge and discharge of aquifers (<xref ref-type="bibr" rid="B62">Smerdon, 2017</xref>). In addition, the loss of groundwater storage causes problems such as land subsidence, reductions in spring water, and reductions in domestic and agricultural water supply (<xref ref-type="bibr" rid="B33">Konikow and Kendy, 2005</xref>; <xref ref-type="bibr" rid="B19">Feng et al., 2013</xref>; <xref ref-type="bibr" rid="B21">Gong et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Deng et al., 2019</xref>; <xref ref-type="bibr" rid="B30">He et al., 2020</xref>). At present, there are few studies on the impact of climate change on groundwater storage, especially in areas that are heavily influenced by human activities and sensitive to climate change. Research on these aspects will help provide more accurate scientific guidance for the management of water resources in such regions.</p>
<p>The estimation of groundwater storage is typically achieved using water level monitoring wells. However, our understanding of groundwater storage in basins is limited by the low density and poor distribution of groundwater level monitoring stations in many regions of the world (<xref ref-type="bibr" rid="B14">Deng and Chen, 2016</xref>), and by uncertainties related to the storage coefficient used to convert the groundwater level into groundwater storage. In addition to the use of monitoring wells, changes in groundwater storage can be simulated using hydrological models. At the global scale, hydrological models fall into two broad categories, namely land surface models (LSMs) and hydrological models (HMs) of water balance (<xref ref-type="bibr" rid="B18">Feng et al., 2018</xref>). Although most LSMs can simulate the water and energy fluxes between the surface and the atmosphere in general circulation models and can generally be used to predict changes in soil moisture and storage, most cannot simulate changes in groundwater storage (<xref ref-type="bibr" rid="B59">Rodell et al., 2004</xref>). In addition, the construction of regional groundwater models often requires the collection of several types of hydrogeological data (such as water level, hydrogeological conditions, and aquifer medium), as well as data on land use types, meteorological factors, and other parameters, which is very difficult at the regional scale.</p>
<p>In addition to water level monitoring wells and groundwater models, observations of Earth&#x2019;s gravitational field could help estimate water storage. The Gravity Recovery and Climate Experiment (GRACE) satellites measure changes in Earth&#x2019;s gravitational field (<xref ref-type="bibr" rid="B64">Tapley et al., 2004</xref>). Since their launch in 2002, the GRACE satellites have demonstrated great application potential in fields such as geodesy, geophysics, oceanography, hydrology, and glaciology (<xref ref-type="bibr" rid="B64">Tapley et al., 2004</xref>; <xref ref-type="bibr" rid="B65">Tapley et al., 2019</xref>). Terrestrial Water Storage Anomaly (TWSA) observations by GRACE satellites have been widely used to assess the loss or depletion of groundwater storage in major aquifers (<xref ref-type="bibr" rid="B53">Moiwo et al., 2012</xref>; <xref ref-type="bibr" rid="B46">Long et al., 2013</xref>; <xref ref-type="bibr" rid="B49">MacDonald et al., 2016</xref>; <xref ref-type="bibr" rid="B55">Nanteza et al., 2016</xref>; <xref ref-type="bibr" rid="B6">Bhanja et al., 2018</xref>). GRACE satellite data include monthly anomalies from April 2002 to January 2017; positive anomalies indicate an increase in quality, and negative anomalies indicate a decrease in quality. These anomalies are calculated relative to the time average baseline (2004&#x2013;2009) (<xref ref-type="bibr" rid="B52">Moghim, 2020</xref>). GRACE-FO was launched on 22 May 2018, and continues to track Earth&#x2019;s water movement, monitoring groundwater storage; the volumes of water in large lakes and rivers, soil moisture, ice caps and glaciers; and sea level changes caused by increased quantities of sea water (<xref ref-type="bibr" rid="B60">Rodell et al., 2009</xref>; <xref ref-type="bibr" rid="B45">Long et al., 2017</xref>; <xref ref-type="bibr" rid="B76">Xie et al., 2018</xref>). The GRACE satellites and their successors, the GRACE-FO satellites, have provided continuous data for groundwater storage analysis (<xref ref-type="bibr" rid="B37">Li et al., 2019</xref>). These satellites are particularly important for studying areas with high groundwater losses and low monitoring water levels. Many studies have used GRACE satellites to estimate GWSA in regions such as India (<xref ref-type="bibr" rid="B43">Long et al., 2016</xref>), California&#x2019;s Central Valley (<xref ref-type="bibr" rid="B61">Scanlon et al., 2012</xref>), and the North China Plain (<xref ref-type="bibr" rid="B19">Feng et al., 2013</xref>). In addition, GRACE satellites have also been used in research on water resources in large permafrost regions (<xref ref-type="bibr" rid="B34">Landerer et al., 2010</xref>; <xref ref-type="bibr" rid="B75">Xiang et al., 2016</xref>).</p>
<p>The Amur River Basin (ARB) extends across China, Russia, and Mongolia; it is among the most sensitive areas to climate change in the region. Within the basin, there are significant differences in the distribution of human activities, frozen soil exhibits a trend of intensifying degradation, and agricultural development is heavily dependent on groundwater (<xref ref-type="bibr" rid="B69">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="B50">Mao et al., 2020</xref>). However, in recent years, research on groundwater storage in the ARB has been restricted to the Songhua River Basin (<xref ref-type="bibr" rid="B11">Chen et al., 2018</xref>) and northeast China (<xref ref-type="bibr" rid="B85">Zheng et al., 2020</xref>); research has not yet been conducted on groundwater storage in the whole basin. Therefore, it is of great importance to elucidate the spatio-temporal heterogeneity of groundwater storage in this basin to study the influence of climate change and human activities on groundwater storage.</p>
<p>In this study, we used GRACE satellite data, Global Land Data Assimilation System (GLDAS) LSM data, and <italic>in situ</italic> groundwater level data to assess the GWSA of the ARB. The purpose of this study is to reveal the temporal and spatial variations in groundwater storage in the ARB and the factors influencing them. It also aims to ascertain how climate change and human activities (mainly agricultural expansion) affect regional groundwater storage.</p>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>Materials and methods</title>
<sec id="s3-1">
<title>Study area</title>
<p>The ARB (42&#xb0;N&#x2013;57&#xb0;N, 108&#xb0;E&#x2013;141&#xb0;E) extends across Mongolia, China, and Russia and is one of the largest river basins in northeastern Asia, which is an area that is sensitive to &#x200b;&#x200b;global climate change. The area of the basin is approximately 2.08 &#xd7; 10<sup>6</sup>&#xa0;km<sup>2</sup>, and the elevation ranges from 110 to 2,760&#xa0;m. The terrain is high in the west and low in the east, and the terraces exhibit features that clearly reflect geomorphologic change (<xref ref-type="bibr" rid="B54">Myneni et al., 1997</xref>). The ARB is significantly affected by the Pacific monsoon. The eastern part of the basin has a dominantly temperate monsoon climate; it lies at the northernmost edge of the area influenced by the global monsoon climate. The western part of the basin has a dominantly temperate continental climate. Temperature exhibits considerable spatial variation across the basin, with significant differences in temperature observed between its eastern and western portions; the annual average temperature of the basin ranges from &#x2212;8&#x223c;6&#xb0;C (<xref ref-type="bibr" rid="B69">Wang et al., 2016</xref>). The distribution of precipitation in the basin exhibits temporal and spatial variations. The annual precipitation is in the range of 400&#x2013;600&#xa0;mm, of which 60%&#x2013;70% is concentrated during the summer. The precipitation gradually decreases from the coast to the interior of the basin. The river systems in the basin mainly include the main streams of the Heilongjiang, Songhuajiang, and Wusulijiang rivers. The swamp wetlands in the basin have been reclaimed. Large tracts of swampy wetlands in the southern part of the ARB have been converted to cropland. Nearly 60% of the ARB is covered with permafrost, which is important for the existence of wetlands (<xref ref-type="bibr" rid="B3">Avis et al., 2011</xref>). Wetlands account for 9% of the ARB, although nearly 22% of the wetland area in the ARB has been lost during the past 40 years (<xref ref-type="bibr" rid="B50">Mao et al., 2020</xref>).</p>
<p>In this study, based on factors such as the underlying surface, the location of the basin, and human activities (mainly agricultural development), we selected the northwestern part of the ARB (ANW) and the Sanjiang Plain (SJP) as target areas.</p>
<p>The SJP is one of the most distinctive areas in the ARB. In recent years, with the development of agriculture, the degradation of wetlands and the intensification of human activities, the hydrology and meteorology of the area have undergone significant changes (<xref ref-type="bibr" rid="B23">Guo et al., 2021</xref>). From 1954 to 2005, the SJP was severely disturbed by human activities (mainly agricultural development), and 77% of the wetland area was used for agricultural purposes (<xref ref-type="bibr" rid="B73">Wang et al., 2011</xref>; <xref ref-type="bibr" rid="B80">Yan et al., 2017</xref>). The expansion of irrigated paddy fields in the region has had a significant impact on temperature, and the overexploitation of groundwater has caused a significant decrease in the groundwater level in irrigated areas (<xref ref-type="bibr" rid="B71">Wang et al., 2015</xref>). Moreover, rainfall during the rainy season has decreased, and rainfall during the dry season has increased (<xref ref-type="bibr" rid="B8">Bratki&#x10d; et al., 2012</xref>).</p>
<p>The northwestern part of the ARB (ANW) is mainly composed of semiarid steppes and has a continental monsoon climate. The average elevation is approximately 1,000&#xa0;m, and the annual precipitation is approximately 300&#x2013;400&#xa0;mm (<xref ref-type="bibr" rid="B38">Li et al., 2016</xref>). The good hydrothermal conditions and broad highland plain topography have resulted in the development of animal husbandry in this area (<xref ref-type="bibr" rid="B38">Li et al., 2016</xref>). Meanwhile, basalts have been emplaced across a wide area in this region, which is conducive to the recharge of atmospheric precipitation and the storage of groundwater (<xref ref-type="bibr" rid="B51">Mo et al., 2002</xref>).</p>
</sec>
<sec id="s3-2">
<title>Data source</title>
<p>Owing to errors in a single product scheme, in this study, we conducted comparative analyses using three datasets, the RL05 dataset from the Centre for Space Research, the University of Texas (CSR), the RL05.1 dataset from the Jet Propulsion Laboratory (JPL), and the RL05a dataset from GeoForschungsZentrum Potsdam (GFZ). TWSA represents the deviation of mass within the vertical range of water, and its unit is equivalent water thickness. TWSA has been widely used in hydrological research, with the anomaly in the relative average equivalent water height between 2003 and 2016 being used to represent changes in terrestrial water storage (including groundwater, soil water, snow water, and canopy water) (<xref ref-type="bibr" rid="B44">Long et al., 2015a</xref>). Previous studies have investigated algorithms, theories, and TWSA acquisition in detail (<xref ref-type="bibr" rid="B82">Yin et al., 2003</xref>). In this work, data for months in which GRACE satellite observations were unavailable (i.e., Jun. and Jul. 2002; Jun. 2003; Jan. and Jun. 2011; May. and Oct. 2012; Mar., Aug. and Sept. 2013; Feb. and Dec. 2014; and Jun. 2015) were obtained using the arithmetic mean (<xref ref-type="bibr" rid="B47">Long et al., 2015b</xref>).</p>
<p>To estimate the value of GWSA, we used the GLDAS Noah model to obtain soil moisture storage (SMS, monthly, 1&#xb0; spatial resolution), snow water storage (SWS, monthly, 1&#xb0; spatial resolution), canopy water storage (CWS, monthly, 1&#xb0; spatial resolution), and evapotranspiration (ET, monthly, 1&#xb0; spatial resolution) values. The soil moisture data output by the GLDAS Noah hydrological model includes soil moisture data for four layers, namely 0&#x2013;10, 10&#x2013;40, 40&#x2013;100, and 100&#x2013;200&#xa0;cm. The sum of the soil moisture in the four layers is regarded as the soil water storage (<xref ref-type="bibr" rid="B59">Rodell et al., 2004</xref>).</p>
<p>We used precipitation (Pre, monthly, 0.5&#xb0; spatial resolution) and temperature (Tmp, monthly, 0.5&#xb0; spatial resolution) from the TS4.01 dataset from the Climatic Research Unit (CRU), the University of East Anglia (<xref ref-type="bibr" rid="B22">Grotjahn and Huynh, 2018</xref>) for the period 2003&#x2013;2016 as the climate data in this study. The data from meteorological stations in the Sanjiang Plain, Greater Hinggan Mountains, and Songnen Plain were compared with the CRU data, and the correlation coefficient for both datasets exceeded 0.9, confirming the validity of CRU data for the region (<xref ref-type="bibr" rid="B29">Harris and Jones, 2017</xref>).</p>
</sec>
<sec id="s3-3">
<title>Groundwater storage anomaly calculation</title>
<p>The terrestrial water storage anomaly obtained by inversion of GRACE time-varying gravity field data is expressed as the equivalent water height &#x25b3;h<sub>w</sub> (&#x3c6;,&#x3bb;) (<xref ref-type="bibr" rid="B12">Chen, 2005</xref>; <xref ref-type="bibr" rid="B25">Han, 2005</xref>; <xref ref-type="bibr" rid="B26">Han et al., 2005</xref>):<disp-formula id="equ1">
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<mml:mn>2</mml:mn>
<mml:mi>n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">&#x394;</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="italic">cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="italic">&#x394;</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="italic">sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>P</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where &#x3b8; is the extra latitude of Earth&#x2019;s center, (&#x3c6;, &#x3bb;) are the latitude and longitude of the ground point, (&#x394;C<sub>nm</sub>, &#x394;S<sub>nm</sub>) is the change of <italic>n</italic>th order m-order normalized potential coefficient, P<sub>nm</sub> () is the normalized <italic>n</italic>th order <italic>m</italic>th order associated Legendre function; k<sub>n</sub> is the <italic>n</italic>th order load Love number, &#x3c1;w &#x2248; 10&#xb3; kg/m&#xb3; is the density of water, &#x3c1;e &#x2248; 5.5 &#xd7; 10&#xb3;&#xa0;kg/m&#xb3; is the average density of the solid earth, and R is the average radius of Earth.</p>
<p>The groundwater storage anomaly is given by:<disp-formula id="equ2">GWSA &#x3d; TWSA - (SWSA &#x2b; SMSA &#x2b; CWSA)</disp-formula>where GWSA is the groundwater storage anomaly, TWSA is the terrestrial water storage anomaly, SWSA is the snow water storage anomaly, SMSA is the soil moisture storage anomaly, and CWSA is the canopy water storage anomaly.</p>
<p>Owing to the small area of the SJP and ANW, the GWSA data obtained from three the institutions (CSR, GFZ, JPL) and GLDAS are essentially the same. Therefore, this study only uses GWSA data obtained by CSR and GLDAS as the follow-up research related to groundwater in the SJP and ANW.</p>
</sec>
<sec id="s3-4">
<title>
<italic>In situ</italic> groundwater-level observations</title>
<p>The groundwater depth in the SJP has been observed since the construction of Sanjiang farm in 1997. The data obtained include groundwater depth data for a total of 15 farms in the SJP from 1997 to 2010, and groundwater level data for Honghe farm from 2008 to 2015 (excluding outliers). The observations were conducted at monthly intervals in 15 observation wells (<xref ref-type="fig" rid="F1">Figure 1</xref>). Among them, Sanjiang farm and Honghe farm exhibited little difference in groundwater depth from 2008 to 2010, so we applied arithmetic and average treatment for both. The monthly data were calculated as annual data, and according to the surface elevation of the observed position (55.6&#xa0;m), the field observation data of groundwater level in the SJP from 1997 to 2015 were finally obtained. The data used in this study are summarized in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic diagram of land classification in the ARB. The northwestern portion of the ARB (ANW) and the Sanjiang Plain (SJP) were selected as the target areas in this study.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g001.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of the datasets utilized in this study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="left">Category</th>
<th align="left">Data version</th>
<th align="left">Spatial and temporal resolution, time span</th>
<th align="left">Data access</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Satellites</td>
<td align="left">
<italic>TWSA</italic>
</td>
<td align="left">CSR/GFZ/JPL SH</td>
<td align="left">1&#xb0;&#xd7;1&#xb0;, monthly 003&#x2013;2016</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="http://www2.csr.utexas.edu/grace/">http://www2.csr.utexas.edu/grace/</ext-link>
</td>
</tr>
<tr>
<td rowspan="4" align="left">LSMs</td>
<td align="left">SMS</td>
<td align="left">GLDAS-2.1 LSMs</td>
<td align="left">1&#xb0;&#xd7;1&#xb0;, monthly 2003&#x2013;2016</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="http://mirador.gsfc.nasa.gov/">http://mirador.gsfc.nasa.gov/</ext-link>
</td>
</tr>
<tr>
<td align="left">SWS</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
</tr>
<tr>
<td align="left">CWS</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
</tr>
<tr>
<td align="left">Evapotranspiration</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">CRU</td>
<td align="left">Precipitation</td>
<td align="left">CRU TS4.01</td>
<td align="left">0.5&#xb0;&#xd7;0.5&#xb0;, Monthly, 2003&#x2013;2016</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="http://data.ceda.ac.uk/badc/cru/">http://data.ceda.ac.uk/badc/cru/</ext-link>
</td>
</tr>
<tr>
<td align="left">Temperature</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
<td align="left">&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>In situ</italic>
</td>
<td align="left">Groundwater level</td>
<td align="left">\</td>
<td align="left">Site, monthly 1997&#x2013;2015</td>
<td align="left">Sanjiang Plain Marsh Wetland Ecological Experiment Station, Chinese Academy of Sciences</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x201c;&#x2a;&#x201d; indicates that the description is the same as that in the vertical preceding row.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-5">
<title>Multivariable linear regression analysis</title>
<p>Groundwater storage is influenced by several interrelated factors, and it is difficult to accurately and comprehensively explain the effects of individual factors on groundwater storage. In this study, we accounted for the effects of temperature, rainfall, and evapotranspiration on groundwater storage. Therefore, we used multiple linear regression to calculate the contribution of environmental factors and other variables in the time series to GWSA (Philip G., 2018). The <italic>t</italic>-test was performed to determine statistical significance. The slope is a linear regression equation fitted using variables. The multiple linear regression model, which is used to express the inter-annual trend of the indicator, is given by:<disp-formula id="equ3">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>where GWSA is the groundwater storage anomaly; X1 is precipitation; X2 is temperature; X3 is evapotranspiration, and a, b, and c are the coefficients of the three index factors.</p>
<p>We used R-Studio v1.1.463 software for multiple linear regression, and Origin 2017 software for correlation analysis.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<sec id="s4-1">
<title>Temporal and spatial distribution of GWSA in the ARB</title>
<p>From 2003 to 2016, the GWSA of the ARB, obtained <italic>via</italic> inversion by GLDAS and the three institutions (CSR, GFZ, and JPL), showed an increasing trend; the annual variation rates were 2.0&#xa0;mm/yr (CSR; <xref ref-type="fig" rid="F2">Figure 2D</xref>), 2.4&#xa0;mm/yr (GFZ; <xref ref-type="fig" rid="F2">Figure 2E</xref>), and 2.2&#xa0;mm/yr (JPL; <xref ref-type="fig" rid="F2">Figure 2F</xref>). Spatially, the GWSA obtained by the three institutions (<xref ref-type="fig" rid="F2">Figures 2A&#x2013;C</xref>) showed a significant increase in the upstream portion of the ARB (Mongolia region), and a significant decrease in the downstream region (China&#x2019;s Sanjiang Plain). In most of the northern portion of the ARB, the GWSA showed an increasing trend. In the southern portion of the ARB (within China), the GWSA showed a decreasing trend. The GWSA peaked in 2008, and after reaching its minimum in 2013, began to increase once again. Regardless of temporal or spatial distribution, the GWSA trends obtained <italic>via</italic> inversion by the three institutions did not differ significantly, reflecting the good performance of GRACE data in the ARB.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>GWSA of ARB from 2003 to 2016 and spatiotemporal variation trends. The <bold>(A&#x2013;C)</bold> are the spatial-year changes of GWSA in the ARB inversed by CSR, GFZ, and JPL. The <bold>(D&#x2013;F)</bold> are the temporal-year changes of GWSA in the ARB inversed by CSR, GFZ, and JPL.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g002.tif"/>
</fig>
<p>During the period 2003&#x2013;2016, the fluctuations in the TWSA and SMSA&#x2b;SWSA&#x2b;CWSA were essentially consistent (<xref ref-type="fig" rid="F3">Figure 3A</xref>), and the three types of GWSA exhibited a trend opposite to that displayed by SMSA&#x2b;SWSA&#x2b;CWSA (<xref ref-type="fig" rid="F3">Figure 3B</xref>). TWSA peaked in March 2014, whereas GWSA exhibited peaks in June 2008 and June 2012.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Comparative analysis of TWSA <bold>(A)</bold> and GWSA <bold>(B)</bold> with SMSA&#x2b;SWSA&#x2b;CWSA in ARB from 2003 to 2016.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g003.tif"/>
</fig>
<p>The monthly GWSA, temperature (Tmp), precipitation (Pre), and evapotranspiration (ET) of the ARB for the 2003&#x2013;2016 period are shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>. The annual average values of Pre and ET show an increasing trend (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Pre and ET are mainly concentrated in summer; Pre peaked in July 2013 and ET peaked in July 2014. Tmp fluctuated within a relatively small range. From 25 July to 19 August 2013, the ARB received the most extreme precipitation in its history. Moreover, from August to September of 2013, the ARB experienced the worst large-scale flooding event in its history. In 2007, the western part of Jilin Province suffered a severe drought during spring and summer.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Comparison and analysis of GWSA, Pre, Tmp and ET of the ARB from 2003 to 2016.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g004.tif"/>
</fig>
<p>Multivariate linear correlation analysis revealed that Pre and GWSA were positively correlated in some areas within the ANW (<xref ref-type="fig" rid="F5">Figure 5A</xref>). At the eastern border and in some sourthern areas of the ARB, Pre and GWSA exhibited a more obvious negative correlation (<xref ref-type="fig" rid="F5">Figure 5A</xref>). In most of the eastern and southern areas of the ARB, Tmp and GWSA exhibited a relatively obvious positive correlation (est &#x3e; 0.4, <italic>p</italic> &#x3c; 0.05), and were spatially continuous (<xref ref-type="fig" rid="F5">Figure 5B</xref>). In most areas of the southern part of the ARB, ET and GWSA showed a relatively obvious negative correlation (est &#x3c; &#x2212;0.4, <italic>p</italic> &#x3c; 0.05). At the northwestern border of the ARB and in the northern area near the lower reaches of the ARB, ET and GWSA showed more obvious negative correlation (<xref ref-type="fig" rid="F5">Figure 5C</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Multiple linear regression analysis of GWSA, Pre, Tmp and ET in the ARB. <bold>(A&#x2013;C)</bold> respectively show the correlation between GWSA and Pre, Tmp, and ET. The black dots represent statistically significant at the <italic>p</italic> &#x3c; 0.05 level.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g005.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Agricultural development and GWSA in the SJP</title>
<p>From 2003 to 2016, the GWSA of the SJP decreased at a rate of 7.0&#xa0;mm/yr (<xref ref-type="fig" rid="F6">Figure 6B</xref>). Spatially, the GWSA of all regions in the SJP showed a decreasing trend. Among them, the GWSA of the northeastern region of the SJP exhibited a higher rate of decline (GWSA &#x3c; &#x2212;8&#xa0;mm/yr, <xref ref-type="fig" rid="F6">Figure 6A</xref>), whereas the southern region of the SJP exhibited a lower rate of decline (GWSA &#x3e; &#x2212;4&#xa0;mm/yr, <xref ref-type="fig" rid="F6">Figure 6A</xref>). However, the overall rate of decline was greater than that of the GWSA of the ARB. From 1997 to 2015, the groundwater level of the SJP decreased at a rate of 0.28&#xa0;m/yr (<xref ref-type="fig" rid="F6">Figure 6B</xref>). The groundwater level during this period exhibited a trend that was relatively consistent with GWSA. The groundwater level of the SJP dropped by 5.53&#xa0;m, from 47.28&#xa0;m in 1997 to 41.75&#xa0;m in 2016.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial variation of GWSA in the SJP <bold>(A)</bold>, and comparison between the measured groundwater level data (1997&#x2013;2015) and GWSA (2003&#x2013;2016) <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g006.tif"/>
</fig>
<p>Since the 1950s, the type of land use in the SJP has changed significantly owing to agricultural expansion and urban development. Between the 1950s and the 1990s, the wetland area decreased most significantly (by approximately 2.72 million ha, <xref ref-type="fig" rid="F7">Figure 7</xref>), whereas the dry land area increased most significantly (by approximately 2.2 million ha, <xref ref-type="fig" rid="F7">Figure 7</xref>). The paddy area showed a sharp increase after 1990. The paddy area increased by about 1 million ha from 1990 to 2015, compared to an increase of about 0.35 million ha from 1950 to 1990 (<xref ref-type="fig" rid="F7">Figure 7</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Land use change in the SJP from 1950 to 2015.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g007.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>Temporal and spatial distribution of the GWSA in the ANW</title>
<p>From 2003 to 2016, the GWSA in the ANW increased at a rate of 11.3&#xa0;mm/yr (<xref ref-type="fig" rid="F8">Figure 8B</xref>). Both the western and southern border areas of the ANW showed a significant increase in GWSA (&#x3e;10&#xa0;mm/yr, <xref ref-type="fig" rid="F8">Figure 8A</xref>), the GWSA in the eastern border area showed no significant increase, and the central area exhibited a slight decrease. However, the overall increase in the GWSA in the ANW exceeded that in the ARB. The GWSA in the ANW reached its peak in 2015. Between 2003 and 2016, the GWSA in the ANW exhibited an increasing trend in most years. In addition, rainfall and snowfall in the ANW region increased to varying degrees.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Temporal <bold>(B)</bold> and spatial <bold>(A)</bold> variation of GWSA in the ANW from 2003 to 2016.</p>
</caption>
<graphic xlink:href="feart-10-1037688-g008.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<sec id="s5-1">
<title>Effects of climate change on the GWSA</title>
<p>Climate change directly or indirectly affects changes in groundwater storage through changes in surface water and precipitation. The western part of the ARB is dominated by grasslands and is characterized by a high altitude and a dry climate that is influenced by the Siberian continental monsoon climate with low precipitation. Forest land and wetland are mainly distributed in the eastern part of the ARB, which has high precipitation and is influenced by the Pacific monsoon climate (<xref ref-type="bibr" rid="B79">Yan et al., 2016</xref>). The central part of the ARB is dominated by a typical continental monsoon climate that is influenced by the Mongolian high-pressure system. In winter, northwest winds are dominant, and the climate is cold and dry. In summer, hot and rainy days induced by the Pacific subtropical high are dominant (<xref ref-type="bibr" rid="B27">Han et al., 2008</xref>).</p>
<p>Seasonal variations in water flow in areas dominated by snowmelt may lead to significant changes in the regional hydrological cycle (<xref ref-type="bibr" rid="B9">Cayan et al., 2001</xref>). The melting of snow in the ARB in summer increases the process of groundwater recharge by soil moisture. Compared with non-climate drivers, changes in groundwater caused by climate change are relatively small, because groundwater systems tend to respond more slowly to climate change than surface water systems and have a large time lag (<xref ref-type="bibr" rid="B28">Hanson et al., 2006</xref>; <xref ref-type="bibr" rid="B24">Gurdak et al., 2007</xref>; <xref ref-type="bibr" rid="B2">Aribisala et al., 2015</xref>). However, continuous and severe drought will significantly change the hydraulic characteristics of aquifers, and variability in precipitation will impose stress on water resources. Although changes groundwater levels have a stronger correlation with precipitation than with temperature, the latter exerts a greater influence in shallow aquifers (<xref ref-type="bibr" rid="B1">Ahzegbobor, 2017</xref>). Based on daily snow cover data of the MOD10A1/MYD10A1 snow products after cloud removal, <xref ref-type="bibr" rid="B48">Lu et al. (2019)</xref> revealed a slight increase in the snow cover area of the ARB from 2002 to 2016 (<xref ref-type="bibr" rid="B48">Lu et al., 2019</xref>). This increase in the snow cover area augments the amount of snowmelt that supplies groundwater.</p>
<p>The degradation of permafrost caused by rising temperatures will reduce the capacity of permafrost to store water, and thus reduce winter runoff (<xref ref-type="bibr" rid="B20">Gao et al., 2016</xref>). In recent years, global warming has accelerated the degradation of permafrost, resulting in an increase in the recharge of groundwater from the permafrost. In permafrost regions, basins with greater permafrost cover exhibit reduced underground water storage, so the runoff in winter is low and that in summer is high in these basins (<xref ref-type="bibr" rid="B81">Yang et al., 2004</xref>; <xref ref-type="bibr" rid="B74">Woo et al., 2008</xref>). Moreover, an increase in the permafrost thawing depth will enhance the catchment capacity of the basin, which will increase the amount of water that is released into the base flow in winter and cause changes in evapotranspiration (<xref ref-type="bibr" rid="B83">Yue et al., 2016</xref>). In addition, the degradation of permafrost owing to climate change affects the recharge of groundwater by wetlands. Permafrost degradation results in a reduction in wetland area (<xref ref-type="bibr" rid="B3">Avis et al., 2011</xref>), which negatively affects the groundwater recharge process and increases the evapotranspiration of water resources. From the 1950s to the 2010s, the total area of permafrost in northeast China decreased from 4.8 &#xd7; 10<sup>5</sup>&#xa0;km<sup>2</sup> to 3.1 &#xd7; 10<sup>5</sup>&#xa0;km<sup>2</sup>, and the total area of frozen soil decreased by 36.5% (<xref ref-type="bibr" rid="B84">Zhang et al., 2021</xref>). These phenomena considerably improved the groundwater recharge conditions in the ARB.</p>
<p>Extreme weather can also affect groundwater systems. Owing to climate change, extreme climate events such as the heat wave in the summer of 2010 and the catastrophic floods in 2013, have occurred frequently in the ARB (<xref ref-type="bibr" rid="B79">Yan et al., 2016</xref>). In the northern and central portions of the SJP, the shallow groundwater table rose in 2013 owing to the extreme rainfall (<xref ref-type="bibr" rid="B40">Liu et al., 2016</xref>). The depletion of groundwater reserves in 2006, 2009&#x2013;2011, and 2014&#x2013;2015 may be related to successive droughts during these periods, whereas the rapid recovery of groundwater reserves from the second half of 2011&#x2013;2012 may be related to the occurrences of floods and the increases in precipitation (<xref ref-type="bibr" rid="B13">Chen et al., 2016</xref>). An increase in temperature will intensify the process of groundwater discharge (primarily the ET value). An increase in evapotranspiration reduces the recharge of groundwater <italic>via</italic> rainfall and surface water. <xref ref-type="bibr" rid="B71">Wang et al. (2015)</xref> found that the groundwater level in the Sanjiang Plain increased significantly after the summer flood in 2013. The summer flood in 2013 had a relatively small impact on shallow groundwater recharge in the eastern part of the Sanjiang Plain (<xref ref-type="bibr" rid="B71">Wang et al., 2015</xref>). The increase in the height of the groundwater and the rate of this increase were largest in the western part of the Sanjiang Plain. This could be attributed to the fact that the area is significantly affected by rivers (the Songhua River, Walken River, and other tributaries of the Songhua River) because of their well-developed drainage networks. In contrast, the increase in the height of the shallow groundwater and the rate of this increase were smaller in the eastern part of the Sanjiang Plain. This phenomenon may be attributed to the unusually high precipitation in the summer of 2013 and the large area of land used for agriculture in the region. In 2007, the western part of Jilin Province suffered severe continuous drought in spring and summer, resulting in the loss of 1.387 &#xd7; 10<sup>6</sup>&#xa0;ha of arable land. <xref ref-type="bibr" rid="B40">Liu et al. (2016)</xref> estimated that the total supply of extreme rainfall across the northern and central parts of the Sanjiang Plain in 2013 was about 41.14 &#xd7; 10<sup>8</sup>&#xa0;m<sup>3</sup>. The annual maximum change in groundwater depth is primarily between 1 and 3&#xa0;m (<xref ref-type="bibr" rid="B40">Liu et al., 2016</xref>). After the extreme rainfall event in 2013, the shallow groundwater level in the northern and central parts of the Sanjiang Plain rose.</p>
<p>The rate of groundwater level decline also depends on land use and distance from rivers. Spatially, the variation of groundwater in irrigated areas is greater than that in non-irrigated areas and groundwater fluctuations in areas near rivers are smaller than those in non-irrigated areas. <xref ref-type="bibr" rid="B85">Zheng et al. (2020)</xref> used GRACE to estimate the GWSA of the Northeast China Plain from 2003 to 2016 to be 2.3 &#xb1; 0.7&#xa0;mm/yr (<xref ref-type="bibr" rid="B85">Zheng et al., 2020</xref>), which is in good agreement with our results (2.0&#x2013;2.4&#xa0;mm/yr). <xref ref-type="bibr" rid="B10">Chang et al. (2015)</xref> used artificial neural networks to study the feedback of permafrost groundwater on the Qinghai-Tibet Plateau to climate change, and found that the temperature rises by 0.5&#xb0;C&#x2013;1.0&#xb0;C per decade, the precipitation increases by 10%&#x2013;20%, and the permafrost groundwater level is predicted to increase by 1.2%&#x2013;1.4% or 2.5%&#x2013;2.6% per year (<xref ref-type="bibr" rid="B10">Chang et al., 2015</xref>). <xref ref-type="bibr" rid="B4">Bao et al. (2019)</xref> investigated the impact of climate change and land cover change on the water balance of the middle reaches of the Yellow River and found that climate variability accounted for 75.8% of the runoff reduction from 1980 to 2000, whereas land cover change accounted for 75.5% of the runoff reduction from 2001 to 2016 (<xref ref-type="bibr" rid="B4">Bao et al., 2019</xref>).</p>
</sec>
<sec id="s5-2">
<title>Effects of agricultural development on the GWSA</title>
<p>The highly water storage capacity of wetlands has a considerable influence on groundwater recharge. The ARB&#x2019;s wetlands account for 16% of the world&#x2019;s wetlands (<xref ref-type="bibr" rid="B50">Mao et al., 2020</xref>). The large-scale distribution of wetlands increases the catchment capacity of the basin, which can increase the recharge cycle of groundwater and provide sufficient water for replenishment. The evapotranspiration of water resources was enhanced by wetland degradation caused by the expansion of agricultural land in the ARB (within China). In contrast, the wetland area in the ARB (within Russia) decrease continuously from 1980 to 2010, and then increased from 2010 to 2016; this phenomenon can be attributed to climate change (<xref ref-type="bibr" rid="B50">Mao et al., 2020</xref>). The SJP has typical wetland swamps, and the formation of wetlands is closely related to atmospheric precipitation, surface water, and groundwater (<xref ref-type="bibr" rid="B82">Yin et al., 2003</xref>). Large portions of the wetlands of the Zeya River at the source of the central freshwater ecotope of the ARB have been destroyed by the construction of a huge reservoir (<xref ref-type="bibr" rid="B17">Egidarev et al., 2016</xref>). From 1940 to 2009, the wetland area decreased by about 76%; the wetland area continues to decrease, and currently, the wetland area is less than 10% of its original value. Wetland reclamation in the SJP has increased water consumption through evapotranspiration and has changed the seasonal pattern of energy balance (<xref ref-type="bibr" rid="B23">Guo et al., 2021</xref>).</p>
<p>The large-scale reclamation of wetlands reduces the replenishment of groundwater for paddy fields and accelerates the consumption of groundwater. During the past 30 years, the area of the SJP used for paddy fields has expanded by more than 25 times, and the amount of groundwater extraction has increased by 10 times. The proportion of agricultural water used in Heilongjiang Province increased from 71.8% to 88.0% from 2004 to 2015 (<xref ref-type="bibr" rid="B86">Zou et al., 2018</xref>) due to the loss and degradation of wetlands. From 1980 to 2010, the total surface water storage capacity of the Sanjiang Plain was reduced by 4.19 &#xd7; 10<sup>9</sup>&#xa0;t, the soil storage capacity was reduced by 5.57 &#xd7; 10<sup>9</sup>&#xa0;t, and the wetland storage capacity was reduced by 9.47 &#xd7; 10<sup>9</sup>&#xa0;t. In 30 years, the wetland storage capacity reduced by nearly half its value (<xref ref-type="bibr" rid="B86">Zou et al., 2018</xref>). The amount of groundwater extraction (4.27 &#xd7; 10<sup>8</sup>&#xa0;m<sup>3</sup>/yr) in the Sanjiang Plain wetland-farmland system is about 2.0 times the sum of infiltration from precipitation, wetland, and irrigation (2.30 &#xd7; 10<sup>8</sup>&#xa0;m<sup>3</sup>/yr). Unbalanced groundwater replenishment and drainage is the main reason for the decrease in groundwater depth. Agriculture is relatively well-developed in this region, and the area of rice cultivation has been increasing (<xref ref-type="bibr" rid="B40">Liu et al., 2016</xref>; <xref ref-type="bibr" rid="B77">Xin et al., 2020</xref>). The irrigation of crops relies on groundwater, which has led to the continuous decline of groundwater levels in the region. Paddy cultivation occupies a large area in the Sanjiang Plain and is heavily dependent on groundwater irrigation; the annual water consumption for irrigation is approximately 45.6 &#xd7; 10<sup>8</sup>&#xa0;m<sup>3</sup> (liu, 2009). During the period 2003&#x2013;2016, the precipitation in the SJP exhibited an increasing trend (<xref ref-type="bibr" rid="B40">Liu et al., 2016</xref>), but the crops cultivated in the region were rice, corn, and other similar crops. The high demand for agricultural water and the severe degradation of wetlands have resulted in a decreasing trend in the groundwater storage in the region for more than a decade. <xref ref-type="bibr" rid="B35">Li and Jia (2013)</xref> showed that 47.2% of the entire arable area of the Jiansanjiang Farming Bureau region was under rice cultivation. A large amount of irrigation water was used to keep the rice paddies inundated (<xref ref-type="bibr" rid="B35">Li and Jia, 2013</xref>). About 1.38 &#xd7; 10<sup>8</sup>&#xa0;m<sup>3</sup>/yr of irrigation water infiltrated into the groundwater, accounting for 14.2% of the whole groundwater recharge volume (<xref ref-type="bibr" rid="B36">Li, 2007</xref>).</p>
<p>The widespread distribution of marshes in the SJP enables the storage of rainfall from adjacent channels and water systems during the rainy season (<xref ref-type="bibr" rid="B40">Liu et al., 2016</xref>), However, the construction of a large number of drainage channels in recent years has reduced the capacity of the marshes to store water and has negatively impacted groundwater recharge. Moreover, the construction of a large number of drainage ditches in the region has increased the regional hydrological gradient and accelerated the process of surface runoff. The forest vegetation at the source of the watershed has been destroyed, and as the proportion of winter snowfall converted into surface runoff has been decreasing, the capacity of forest soil to conserve water resources has been decreasing (<xref ref-type="bibr" rid="B42">Liu et al., 2011</xref>). The continuous decrease in groundwater storage in the SJP is also closely related to the significant temporal and spatial differences in groundwater replenishment. Snowmelt, which is concentrated in spring and early summer, and precipitation, which is concentrated during the rainy season, have higher recharge efficiencies (<xref ref-type="bibr" rid="B70">Wang et al., 2014</xref>). <italic>In situ</italic> groundwater level data from this region validate the reduction in groundwater storage inferred by inversion of GRACE data. A previous study has shown that drought conditions are developing in the SJP (<xref ref-type="bibr" rid="B42">Liu et al., 2011</xref>). Enhancing the restoration of wetland water resources and the balance of water for agricultural development in the region and improving the regional water storage capacity are essential to the water security of the SJP. The flood regulation of the internal water conservation project in the Sanjiang Plain negatively impacts the flooding process of the water system, thereby reducing the replenishment of surface water resources in the Sanjiang Plain (<xref ref-type="bibr" rid="B42">Liu et al., 2011</xref>) and resulting in a decrease in groundwater recharge.</p>
<p>The change in groundwater recharge in the southern part of the Jiansanjiang Farming Bureau region is significantly greater than that in the northern part (<xref ref-type="bibr" rid="B70">Wang et al., 2014</xref>). <xref ref-type="bibr" rid="B78">Xu et al. (2012)</xref> used &#x3b4;<sup>18</sup>O and &#x3b4;D isotopes to prove that the groundwater in the Sanjiang Plain is mainly recharged by precipitation (<xref ref-type="bibr" rid="B78">Xu et al., 2012</xref>). Precipitation recharge mainly occurs during June and July, and this accounts for 53.5% of the total groundwater recharge (<xref ref-type="bibr" rid="B70">Wang et al., 2014</xref>). However, the sharp increase in agricultural water consumption has negated the effect of the increased precipitation, making it insufficient to replenish the amount of groundwater consumed.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>Conclusion</title>
<p>In this study, we compared different GRACE TWS datasets and their influence on the estimation of the GWSA in the ARB in order to provide a basis for the choice of TWS plan for research. The GWSA was evaluated at the regional scale using long-term field observations of the groundwater level in the SJP combined with GRACE satellite data. The good agreement between the <italic>in situ</italic> groundwater level observations in the SJP and the estimated GWSA demonstrates the application potential of GRACE data for monitoring groundwater dynamics in the ARB. The study found that the GWSA of the ARB increased at a rate of 2.0&#x2013;2.4&#xa0;mm/yr from 2003 to 2016. In recent years, increased rainfall, snowmelt caused by rising temperatures, and the degradation of large areas of frozen soil in this region have increased groundwater recharge. The GWSA of the ARB exhibits significant spatial variation. The GWSA of the upstream portion of the ARB (ANW) shows an increasing trend (11.3&#xa0;mm/yr), whereas the GWSA of the middle and downstream portions of the ARB (SJP) shows a decreasing trend (&#x2013;7.0&#xa0;mm/yr). The increase in the GWSA in the ANW can be attributed to the favorable surface and subsurface (lithosphere) conditions and the increase in precipitation, which are conducive to GWSA replenishment. The decrease in the GWSA in the SJP can be attributed to large-scale wetland degradation, the increase in the area under rice cultivation, and the construction of drainage ditches in the region, which has reduced the groundwater storage capacity. Temperature and evapotranspiration primarily influence changes in the GWSA by regulating the hydrothermal balance. The main source of groundwater loss is irrigation water that is needed to reclaim farmland. Future research should focus on the response of regional groundwater storage to long-term climate change and the mechanism underlying the interaction between permafrost degradation and surface and groundwater.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>CS and YG conceived the idea for the paper. ZZ did the literature search and extracted data from relevant publications. ZZ led the writing of the paper and made the figures. All authors participated in writing and critically read the final MS.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This research was funded by the National Natural Science Foundation of China (No. 41730643, No. 42220104009).</p>
</sec>
<ack>
<p>The author would like to thank the NASA&#x2019;s Earth Science Division the Goddard Earth Sciences (GES) Data and the Information Services Center (DISC) for providing the GLDAS data.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<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="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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