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<front>
<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">747429</article-id>
<article-id pub-id-type="doi">10.3389/feart.2021.747429</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>Impact of Climate Change on Water Availability in Water Source Areas of the South-to-North Water Diversion Project in China</article-title>
<alt-title alt-title-type="left-running-head">Qiao et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Climate Change on Water Availability</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Qiao</surname>
<given-names>Cuiping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ning</surname>
<given-names>Zhongrui</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1461195/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1420019/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Jinqiu</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Qianguo</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1469754/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Guoqing</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1130108/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>North China University of Water Resources and Electric Power, <addr-line>Zhengzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>College of Hydrology and Water Resources, Hohai University, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>Yangtze Institute for Conservation and Development, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<label>
<sup>4</sup>
</label>Research Center for Climate Change, Ministry of Water Resources, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<label>
<sup>5</sup>
</label>State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<label>
<sup>6</sup>
</label>College of Environmental Science and Engineering, North China Electric Power University, <addr-line>Beijing</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/90326/overview">Xander Wang</ext-link>, University of Prince Edward Island, Canada</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/1447861/overview">Caihong Hu</ext-link>, Zhengzhou University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1449875/overview">Chuanzhe Li</ext-link>, China Institute of Water Resources and Hydropower Research, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Guoqing Wang, <email>gqwang@nhri.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Interdisciplinary Climate Studies, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>747429</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>09</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Qiao, Ning, Wang, Sun, Lin and Wang.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Qiao, Ning, Wang, Sun, Lin and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The South-to-North Water Diversion project (SNWD project) is a mega water project designed to help solve water shortages in North China. The project&#x2019;s management and operation are highly influenced by runoff change induced by climate change in the water source areas. It is important to understand water availability from the source areas in the context of global warming to optimize the project&#x2019;s regulation. Based on the projections of nine GCMs, the future runoff in the water source areas of the three diversion routes was simulated by using a grid-based model RCCC-WBM (Water Balance Model developed by Research Center for Climate Change). Results show that temperature will rise by about 1.5&#x00B0;C in the near future (2035, defined as 2026&#x2013;2045) and 2.0&#x00B0;C in the far future (2050, defined as 2041&#x2013;2060) relative to the baseline period of 1956&#x2013;2000. Although GCM projections of precipitation are highly uncertain, the projected precipitation will likely increase for all three water source areas. As a result of climate change, the simulated runoff in the water source areas of the SNWD project will likely increase slightly by less than 3% relative to the baseline period for the near and far future. However, due to the large dispersion and uncertainty of GCM projections, a high degree of attention should be paid to the climate-induced risk of water supply under extreme situations, particularly for the middle route of the SNWD project.</p>
</abstract>
<kwd-group>
<kwd>climate change</kwd>
<kwd>water resources</kwd>
<kwd>South-to-North Water Diversion Project</kwd>
<kwd>water source areas</kwd>
<kwd>GCM projections</kwd>
<kwd>RCCC-WBM</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Water is the most direct and vulnerable sector influenced by climate change (<xref ref-type="bibr" rid="B65">Zhang and Wang, 2007</xref>; <xref ref-type="bibr" rid="B16">IPCC, 2008</xref>, <xref ref-type="bibr" rid="B17">2013</xref>, <xref ref-type="bibr" rid="B18">2021</xref>). China faces shortages in water sources due to a huge population (<xref ref-type="bibr" rid="B24">Liu et&#x20;al., 2019</xref>). Uneven spatiotemporal distribution of water resources further exacerbates water scarcity in many arid regions (<xref ref-type="bibr" rid="B14">Hoekstra, 2014</xref>; <xref ref-type="bibr" rid="B6">Cosgrove and Loucks, 2015</xref>; <xref ref-type="bibr" rid="B34">Montanari et&#x20;al., 2015</xref>). How much water is available in the context of global warming has been attracting tremendous attention from various arms of the central government, local communities, and river basin managers (<xref ref-type="bibr" rid="B21">Kundzewicz et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B30">Lu et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B32">Luo et&#x20;al., 2019</xref>).</p>
<p>Studies show that only 10% of the total renewable water resources are currently used by people, and nearly 80% of the world&#x2019;s population is exposed to high levels of threat to water security (<xref ref-type="bibr" rid="B37">Oki and Kanae, 2006</xref>; <xref ref-type="bibr" rid="B51">V&#xf6;r&#xf6;smarty et&#x20;al., 2010</xref>). Both climate change and human activities add complexity to the formation, migration, and transformation mechanisms of water resources by altering hydrological cycles, thereby aggravating water scarcity and water conflicts among different socioeconomic sectors (<xref ref-type="bibr" rid="B12">Haddeland et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Liu et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B48">Tang et&#x20;al., 2019</xref>). Because of the critical importance of water to socioeconomic development, climate change and its impacts on water resources have been investigated in previous studies (<xref ref-type="bibr" rid="B52">Wang et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B28">Liu et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B1">Bao et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B46">Sun et&#x20;al., 2019</xref>). Regional and global hydrologic models combined with global climate model projections have been widely used to assess changes in water resources induced by climate change (<xref ref-type="bibr" rid="B43">Sivakumar, 2011</xref>; <xref ref-type="bibr" rid="B41">Schewe et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B54">Wang et&#x20;al., 2012</xref>, <xref ref-type="bibr" rid="B52">2017</xref>). The Xin&#x2019;anjiang model which is based on the saturation excess mechanism has been mostly applied to humid catchments (<xref ref-type="bibr" rid="B63">Yuan et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B64">Zhang et&#x20;al., 2019</xref>), while infiltration excess-based watershed models (e.g., GR4J model, SIMHYD model, etc.) have been used for assessing climate change impacts in arid catchments (<xref ref-type="bibr" rid="B20">Jones et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B50">Trudel et&#x20;al., 2017</xref>). Land surface models (e.g., VIC model, CAS-LSM model, etc.) are mainly applied to large scale regions or applied at continental scale for hydrological modeling and climate change study (<xref ref-type="bibr" rid="B54">Wang et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B57">Wang et&#x20;al., 2020</xref>). Due to the lack of observations, hydrological models with physical interpretation and simple model structure have attracted more interest and been applied in climate change study (<xref ref-type="bibr" rid="B53">Wang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B42">Shahid et&#x20;al., 2017</xref>). Compared with some of the well-known hydrological models (e.g., Xin&#x2019;anjiang model, Tank model, etc.), simple models (e.g., RCCC-WBM) have advantages of easier understanding, fewer model parameters, more feasible transferability to the poorly gauged areas, etc. (<xref ref-type="bibr" rid="B9">Guan et&#x20;al., 2019</xref>). The projected climate change impacts showed that water cycles have undergone considerable changes in the context of global warming, and such changes have altered water resource distribution in time and space (<xref ref-type="bibr" rid="B3">Bierkens, 2015</xref>; <xref ref-type="bibr" rid="B33">Mehran et&#x20;al., 2017</xref>). Available water resources in the eastern monsoon region of China are decreasing and extreme hydrological events are occurring more frequently (<xref ref-type="bibr" rid="B7">Duan and Phillips, 2010</xref>; <xref ref-type="bibr" rid="B58">Xia et&#x20;al., 2017</xref>), which increases the vulnerability of water resources and adds extra pressure on the security of water supplies, particularly in arid and semi-arid areas (<xref ref-type="bibr" rid="B55">Wang and Zhang, 2015</xref>; <xref ref-type="bibr" rid="B19">Jin et&#x20;al., 2020</xref>).</p>
<p>China suffers from water shortages due to its large population and extremely low per capita water volume, accounting for less than one-third of the world average (<xref ref-type="bibr" rid="B5">CREEI, 2014</xref>; <xref ref-type="bibr" rid="B24">Liu et&#x20;al., 2019</xref>). Conditions are particularly severe in the country&#x2019;s northern regions, where half of the population and two-thirds of the nation&#x2019;s farmland are located, but where there is only one-fifth of its water resources (<xref ref-type="bibr" rid="B23">Liu and Zheng, 2002</xref>; <xref ref-type="bibr" rid="B22">Liu and Xia, 2004</xref>). To alleviate water scarcity and maintain socioeconomic development in northern China, the central government has embarked on a strategic and ambitious infrastructure project known as the South-to-North Water Diversion project (SNWD project; <xref ref-type="bibr" rid="B67">Zhang, 2009</xref>; <xref ref-type="bibr" rid="B69">Zhao et&#x20;al., 2017</xref>). The project is designed to transfer 44.8&#xa0;km<sup>3</sup> of water per year from the water-abundant Yangtze River to the Huang-Huai-Hai region via its eastern, middle, and western routes, at a total cost of about US$62 billion (<xref ref-type="bibr" rid="B44">Stone and Jia, 2006</xref>; <xref ref-type="bibr" rid="B26">Liu et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B60">Yan and Chen, 2013</xref>; <xref ref-type="bibr" rid="B29">Long et&#x20;al., 2020</xref>). By the end of 2018, the eastern route had brought an accumulated 3.1 billion&#xa0;m<sup>3</sup> of water to Shandong and the middle route had brought an accumulated 17.8 billion&#xa0;m<sup>3</sup> of water (<ext-link ext-link-type="uri" xlink:href="http://nsbd.mwr.gov.cn">http://nsbd.mwr.gov.cn</ext-link>; <xref ref-type="bibr" rid="B61">Yin et&#x20;al., 2020</xref>). It has been observed that streamflow into the Danjiangkou Reservoir, the headwater source in the middle route of the SNWD project, has continuously decreased since the 1980s (<xref ref-type="bibr" rid="B26">Liu et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B47">Sun et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B70">She et&#x20;al., 2017</xref>), negatively affecting the water supply of the middle route of the SNWD project. Using a climate elasticity method, <xref ref-type="bibr" rid="B26">Liu et&#x20;al. (2012)</xref> concluded that the climatic variation (indicated by precipitation and potential evapotranspiration) was responsible for 84.1&#x2013;90.1% of the stream decline. <xref ref-type="bibr" rid="B70">She et&#x20;al. (2017)</xref> also showed that the sharp decrease in annual runoff from the Danjiangkou Reservoir is mainly influenced by the decrease in annual precipitation. While climate change affects the water availability of the water source area, it also affects the encounter probability of flood and drought between the water source areas and the water receiving areas (<xref ref-type="bibr" rid="B4">Chen and Xie, 2012</xref>; <xref ref-type="bibr" rid="B27">Liu et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B58">Xia et&#x20;al., 2017</xref>).</p>
<p>Climate change will be one of the major challenges to the management and operation of the SNWD project, as water resources are sensitive to climate change and variability (<xref ref-type="bibr" rid="B54">Wang et&#x20;al., 2012</xref>, <xref ref-type="bibr" rid="B52">2017</xref>). With the expectation that water supplies will only become tighter in the future (<xref ref-type="bibr" rid="B40">Rodell et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B38">Pokhrel et&#x20;al., 2021</xref>), it is essential to understand water availability in water source areas under climate change for the efficient and reasonable allocation of water resources by the SNWD project. However, previous studies on the SNWD project mainly focused on the historical variation of stream flow, so there are limited studies on future water availability of water source areas of the SNWD project, particularly for all three source areas together (<xref ref-type="bibr" rid="B45">Su et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B62">Yu et&#x20;al., 2017</xref>). The objective of this study is to investigate future climate changes in the three water source areas and the extent to which the stream flow will change in the coming decades relative to the design period (1956&#x2013;2000) of the SNWD project and finally to support the project operation practices and revisions of the second phase&#x20;plan.</p>
</sec>
<sec id="s2">
<title>Data Sources and Methodology</title>
<sec id="s2-1">
<title>Study Areas and Data Sources</title>
<p>The SNWD project approved by China&#x2019;s State Council in 2002 is a national strategic project that transfers water from the Yangtze River to the Huai River, Yellow River, and Hai River to solve water shortages in North China. The project was designed with three water diversion routes among which the eastern route and the middle route have been constructed and in use since 2013 and 2014, respectively, while the western route is still in the planning stages. Based on the project planning, the water source areas of the project consist of the upper Yangtze River for the western route with a drainage area of 299,087&#xa0;km<sup>2</sup>, the middle and upper Han River for the mid-route with a drainage area of 94,784&#xa0;km<sup>2</sup>, and the area (1,705,383&#xa0;km<sup>2</sup>) above Datong hydrometric station for the eastern route, which covers almost the entire Yangtze River basin. The water source areas of the project, major river systems of the Yangtze River, and locations of key hydrometric stations controlling water source areas are shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Water source areas, river systems, and locations of key hydrometric stations of the South-to-North Water Diversion Project in the Yangtze River basin.</p>
</caption>
<graphic xlink:href="feart-09-747429-g001.tif"/>
</fig>
<p>The daily grid meteorological data over the Yangtze River basin with a spatial resolution of 0.25&#xb0; and 1951&#x2013;2020 data series were collected from the China Meteorological Administration (CMA). The daily observed discharge data at five hydrometric stations which control drainage source areas of the SNWD project, shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, were collected from the Hydrology Bureau of the Ministry of Water Resources (MWR). These hydro-meteorological data were used to calibrate hydrological models for climate change impact assessment.</p>
<p>The SNWD project was designed by using the 1956&#x2013;2000 data series. In order to understand the future climate changes relative to those in the design period, we defined two future periods as follows: near future (NF) from 2026 to 2045, and far future (FF) from 2041 to 2060. The future climate scenarios were downloaded from <ext-link ext-link-type="uri" xlink:href="http://httpps://www.wcrp-climate.org/wgcm-cmip/wgcm-cmip6">httpps://www.wcrp-climate.org/wgcm-cmip/wgcm-cmip6</ext-link>. As both the high-emission scenarios, e.g., SSP5-8.5, and the low-emission scenarios, e.g., SSP1-2.6, consider extreme emission pathways, the medium-emission scenarios, e.g., SSP2-4.5, will probably occur in the future. We therefore only used climate change projections under the SSP2-4.5 scenario in this study. Based on simulation performance to the past variation of climate variables and consideration of GCM independence (<xref ref-type="bibr" rid="B59">Xin et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B68">Zhao et&#x20;al., 2021</xref>), nine GCMs were selected and used in this study (<xref ref-type="table" rid="T1">Table&#x20;1</xref>). The nine GCM projections under the SSP2-4.5 scenario were downscaled to a 0.25&#xb0; grid by using a LARS-WG statistical downscaling method (<xref ref-type="bibr" rid="B13">Hassan et&#x20;al., 2014</xref>). The data series of the projected climate scenarios are from 1901 to&#x20;2099.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Overview of nine GCMs used in this&#x20;study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Nos.</th>
<th align="center">GCMs</th>
<th align="center">Country and developer</th>
<th align="center">Resolution</th>
<th align="center">Nos.</th>
<th align="center">GCMs</th>
<th align="center">Country and developer</th>
<th align="center">Resolution</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">BCC-CSM1</td>
<td align="left">China, BCC</td>
<td align="char" char="&#xd7;">2.8&#xb0; &#xd7; 2.8&#xb0;</td>
<td align="char" char=".">6</td>
<td align="left">FIO-ESM</td>
<td align="left">China, FIO</td>
<td align="char" char="&#xd7;">2.8&#xb0; &#xd7; 2.8&#xb0;</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">CNRM-CM5</td>
<td align="left">France, CNRM-CERFACS</td>
<td align="char" char="&#xd7;">1.4&#xb0; &#xd7; 1.4&#xb0;</td>
<td align="char" char=".">7</td>
<td align="left">GFDL-ESM2M</td>
<td align="left">America, GFDL</td>
<td align="char" char="&#xd7;">2.0&#xb0; &#xd7; 2.5&#xb0;</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">CSIRO-MK3</td>
<td align="left">Australia, CSIRO</td>
<td align="char" char="&#xd7;">1.9&#xb0; &#xd7; 1.9&#xb0;</td>
<td align="char" char=".">8</td>
<td align="left">GISS-E2-H</td>
<td align="left">America, GISS</td>
<td align="char" char="&#xd7;">2.0&#xb0; &#xd7; 2.5&#xb0;</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">FGOALS-G2</td>
<td align="left">China, LASG-CESS</td>
<td align="char" char="&#xd7;">3.0&#xb0; &#xd7; 2.8&#xb0;</td>
<td align="char" char=".">9</td>
<td align="left">MIROC-ESM</td>
<td align="left">Japan, CCSR/NIES/FRCGC</td>
<td align="char" char="&#xd7;">2.8&#xb0; &#xd7; 2.8&#xb0;</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">CCSM4</td>
<td align="left">America, NCAR</td>
<td align="char" char="&#xd7;">0.9&#xb0; &#xd7; 1.3&#xb0;</td>
<td align="left">-</td>
<td align="left">-</td>
<td align="left">-</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>RCCC-WBM</title>
<p>In this study, the RCCC-WBM (Water Balance Model developed by the Research Center for Climate Change) was applied to the study areas for climate change impact assessment. The model is a conceptual hydrological model that considers the three runoff components of surface flow, underground flow, and snowmelt flow. The model inputs include monthly precipitation, pan evaporation, and temperature. The model has been applied to hundreds of catchments worldwide (<xref ref-type="bibr" rid="B53">Wang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B9">Guan et&#x20;al., 2019</xref>). The model structure is shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The model structure and principle of the RCCC-WBM.</p>
</caption>
<graphic xlink:href="feart-09-747429-g002.tif"/>
</fig>
<p>Based on the RCCC-WBM, we developed a grid-based model covering the entire Yangtze River basin, which was divided into 1,812 grid cells with a spatial resolution of 0.25&#xb0;. The RCCC-WBM is employed to calculate runoff yield in each grid cell. For a catchment that covers numerous grid cells, the flow routing scheme in the VIC (Variable Infiltration Capacity) model was referenced in the model flow concentrating from grid cells to catchment outlet (<xref ref-type="bibr" rid="B54">Wang et&#x20;al., 2012</xref>, <xref ref-type="bibr" rid="B53">2014</xref>).</p>
<p>The RCCC-WBM has four parameters that need to be calibrated by comparing the simulated and recorded discharge series. The Nash and Sutcliffe efficiency criterion (NSE) and the relative error of volumetric fit (RE), which describe the fitting performance of the simulated discharge to the recorded discharge, are employed as the objective functions to calibrate the model (<xref ref-type="bibr" rid="B36">Nash and Sutcliffe, 1970</xref>; <xref ref-type="bibr" rid="B35">Moriasi et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B11">Gupta et&#x20;al., 2009</xref>).</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Results and Discussion</title>
<sec id="s3-1">
<title>Changes in Temperature and Precipitation for Water Source Areas</title>
<p>Taking 1956&#x2013;2000 as a baseline period, changes in temperature in the near and far future relative to the baseline period for all three source areas, i.e.,&#x20;the western route source area (WRSA), middle route source area (MRSA), and eastern route source area (ERSA), of the SNWD project were investigated (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Temperature changes in two periods of near future (NF) and far future (FF) relative to baseline of 1956&#x2013;2000 for all three source areas of the South-to-North Water Diversion Project (WRSA, MRSA, and ERSA denote the western route source area, the middle route source area, and the eastern route source area, respectively; same as <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> and <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>).</p>
</caption>
<graphic xlink:href="feart-09-747429-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure&#x20;3</xref> shows that the nine GCMs all projected that temperatures will continue to rise in the near future and far future although they projected different rise ranges. In the near future of 2026&#x2013;2045, temperature will rise by 1.64&#xb0;C [1.27&#xb0;C, 2.58&#xb0;C], 1.33&#xb0;C [0.87&#xb0;C, 1.71&#xb0;C], and 1.37&#xb0;C [1.06&#xb0;C, 1.89&#xb0;C] for WRSA, MRSA, and ERSA, respectively. However, temperature will rise higher in the far future of 2041&#x2013;2060. On average, temperature would rise by 2.09&#xb0;C, 1.78&#xb0;C, and 1.82&#xb0;C, respectively, with ranges of [1.64&#xb0;C, 3.09&#xb0;C], [1.02&#xb0;C, 2.44&#xb0;C], and [1.19&#xb0;C, 2.41&#xb0;C] for the three water source&#x20;areas.</p>
<p>Temperature is a thermal driver of the hydrological cycle, and temperature rise could reduce runoff yield by increasing catchment evaporation. According to IPCC, there is high confidence that global mean evaporation increases with global warming, with evaporation increasing by 1&#x2013;3% for every 1&#xb0;C increase in temperature (<xref ref-type="bibr" rid="B18">IPCC, 2021</xref>). Previous studies indicate that a 1&#xb0;C rise in temperature might lead to an approximately 5% decrease in runoff for humid areas (<xref ref-type="bibr" rid="B16">IPCC, 2008</xref>; <xref ref-type="bibr" rid="B56">Wang et&#x20;al., 2016</xref>). Changes in temperature will definitely influence water availability in the water source area of the SNWD project.</p>
<p>
<xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows changes in precipitation during the coming periods of the near future and far future relative to the baseline period. The figure indicates that precipitation projections have a higher uncertainty than that of temperature as a GCM might project decrease in precipitation while another one might project precipitation increase. For the WRSA, all GCMs project that precipitation in near future will increase by 4.9% with a range of [1.43%, 14.1%], and most of the GCM projections show a 6.06% precipitation increase in the far future on average with a range of [&#x2212;1.68%, 18.77%]. For the MRSA, more than half of the GCMs projected that precipitation will increase by 0.45% [&#x2212;3.23%, 8.61%] in the near future and 2.54% [&#x2212;1.77%, 7.5%] in the far future. For the ERSA, most of the GCMs projected that precipitation will increase by 1.63% [&#x2212;3.62%, 4.84%] in the near future and 3.71% [&#x2212;3.13%, 7.45%] in the far future.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Precipitation changes in two periods of near future (NF) and far future (FF) relative to baseline of 1956&#x2013;2000 for all three source areas of the South-to-North Water Diversion Project.</p>
</caption>
<graphic xlink:href="feart-09-747429-g004.tif"/>
</fig>
<p>According to the definition of uncertainty by the IPCC (<xref ref-type="bibr" rid="B17">IPCC, 2013</xref>), precipitation in the WRSA will almost certainly increase in the near future and will very likely increase in the far future, while precipitation in both the MRSA and ERSA is likely to increase in both the near and far future. Increases in precipitation for the source areas could increase runoff yield and will no doubt benefit implementation of the SNWD project.</p>
</sec>
<sec id="s3-2">
<title>Model Calibration and Discharge Simulation</title>
<p>A suitable hydrological model is essential to quantify the impact of climate change on water resources. Within the source areas of the SNWD project, there are daily discharges available at five hydrometric stations with a data series length of over 30&#x20;years. The grid meteorological data were used to drive the grid-based model RCCC-WBM for discharge simulation. Simulation results are given in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. The monthly recorded and simulated discharges at the Yajiang hydrometric station were compared, as shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Discharge simulation results for the five hydrometric stations within source areas of the South-to-North Water Diversion Project.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Source areas</th>
<th rowspan="2" align="center">Stations</th>
<th colspan="3" align="center">Model calibration</th>
<th colspan="3" align="center">Model validation</th>
</tr>
<tr>
<th align="center">Data series</th>
<th align="center">NSE-v (%)</th>
<th align="center">Re-v (%)</th>
<th align="center">Data series</th>
<th align="center">NSE-v (%)</th>
<th align="center">Re-v (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">Western route</td>
<td align="left">Dajin</td>
<td align="char" char="ndash">1957&#x2013;1989</td>
<td align="char" char=".">83.7</td>
<td align="char" char=".">&#x2212;1.1</td>
<td align="char" char="ndash">1990&#x2013;2000</td>
<td align="char" char=".">85.1</td>
<td align="char" char=".">&#x2212;0.2</td>
</tr>
<tr>
<td align="left">Yajiang</td>
<td align="char" char="ndash">1956&#x2013;1989</td>
<td align="char" char=".">86.6</td>
<td align="char" char=".">&#x2212;1.9</td>
<td align="char" char="ndash">1990&#x2013;2000</td>
<td align="char" char=".">89.3</td>
<td align="char" char=".">2.1</td>
</tr>
<tr>
<td align="left">Batang</td>
<td align="char" char="ndash">1960&#x2013;1989</td>
<td align="char" char=".">83.3</td>
<td align="char" char=".">0.4</td>
<td align="char" char="ndash">1990&#x2013;2000</td>
<td align="char" char=".">74.6</td>
<td align="char" char=".">&#x2212;0.7</td>
</tr>
<tr>
<td align="left">Middle route</td>
<td align="left">Danjiangkou</td>
<td align="char" char="ndash">1956&#x2013;1989</td>
<td align="char" char=".">81.5</td>
<td align="char" char=".">1.7</td>
<td align="char" char="ndash">1990&#x2013;2000</td>
<td align="char" char=".">73.0</td>
<td align="char" char=".">0.4</td>
</tr>
<tr>
<td align="left">Eastern route</td>
<td align="left">Datong</td>
<td align="char" char="ndash">1956&#x2013;1989</td>
<td align="char" char=".">90.6</td>
<td align="char" char=".">&#x2212;0.8</td>
<td align="char" char="ndash">1990&#x2013;2000</td>
<td align="char" char=".">87.4</td>
<td align="char" char=".">0.3</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Monthly recorded and simulated runoff at the Yajiang station during 1956&#x2013;2000.</p>
</caption>
<graphic xlink:href="feart-09-747429-g005.tif"/>
</fig>
<p>
<xref ref-type="table" rid="T2">Table&#x20;2</xref> shows that the grid-based model RCCC-WBM performs well in the discharge simulation for all five catchments. The NSEs in both calibration and validation periods are above 0.7, while the REs in the periods are limited in the range of &#xb1;2.0%. <xref ref-type="fig" rid="F5">Figure&#x20;5</xref> indicates that the monthly recorded and simulated runoff series at the Yajiang station for 1956&#x2013;2000 matched well, which is in accordance with the results in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. <xref ref-type="table" rid="T2">Table&#x20;2</xref> and <xref ref-type="fig" rid="F5">Figure&#x20;5</xref> both sufficiently illustrate that the RCCC-WBM is qualified for simulating runoff under the future climate change scenarios.</p>
<p>By using the downscaled grid climate scenarios of nine GCMs to drive the grid-based model RCCC-WBM, monthly runoff yield series for grid cells were simulated for 1951&#x2013;2090. The catchment average annual runoff yields of the three source areas of the SNWD project over the period were then calculated based on the areal weighted method. The 9-GCM-based annual runoff simulations for the three source areas and the simulation-based median runoff series over the period of 1951&#x2013;2090 are shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>. <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> shows that the nine simulated annual runoff series all exhibited a natural fluctuation with no significant variation trends. However, the range of runoff variability in the coming decades becomes larger than that in the&#x20;past.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The simulated annual runoff series (gray lines) of the nine GCMs and the simulation-based median runoff series (red line) during 1951&#x2013;2090 for all three source areas of the South-to-North Water Diversion project (<bold>(A&#x2013;C)</bold> denote source areas of the western route, the middle route, and the eastern route, respectively).</p>
</caption>
<graphic xlink:href="feart-09-747429-g006.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Changes in Runoff for the Three Water Diversion Areas</title>
<p>Runoff changes in the near future and far future relative to the baseline period of 1956&#x2013;2000 were investigated based on the simulated runoff over the period of 1951&#x2013;2090 under the nine GCM scenarios for all three source areas (<xref ref-type="fig" rid="F7">Figure&#x20;7</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Runoff changes in two periods of near future (NF) and far future (FF) relative to the baseline period of 1956&#x2013;2000 for all three source areas of the South-to-North Water Diversion Project.</p>
</caption>
<graphic xlink:href="feart-09-747429-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure&#x20;7</xref> indicates that for the WRSA, all GCMs project that runoff in the near future will increase by 1.42% with a range of [0.29%, 7.69%], and most of the GCMs project a 1.36% runoff increase in the far future on average with a range of [&#x2212;5.84%, 11.40%]. The projected runoff in the WRSA will very likely increase in both the near and far future. For the MRSA, over 50% of the GCMs project that runoff will increase by 2.25% [&#x2212;10.48%, 8.31%] in the near future and 2.35% [&#x2212;10.27%, 4.60%] in the far future. Although more than half of the GCMs project runoff in the middle route source area will increase in the future, we also find that the projected runoff might decrease by &#x3e; 10% in extreme conditions. Attention to the risk of runoff reduction induced by climate change should be given in the practical operation of the middle route sub-project. For the ERSA, most of the nine GCMs project runoff will increase in the near future with the exception of the GISS-E2-R which projects runoff will decrease by &#x2212;7.3%. The GISS-E2-R and GFDL-ESM2G project annual runoff will decrease by &#x2212;7.8% and &#x2212;7.0% in far future while the other seven GCMs project annual runoff will increase by [0.1%, 4.2%]. On average, the median GCM project runoff will increase by 0.88% in the near future and 0.7% in the far future. In general, the projected runoff in the eastern route source area will likely increase in the coming decades, which could support operation of the eastern route sub-project.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Both changes in temperature and precipitation could affect regional water resources by altering hydrological cycles. Global land surface temperature rose by 0.85&#xb0;C during the period 1880&#x2013;2012 (<xref ref-type="bibr" rid="B17">IPCC, 2013</xref>) while temperatures in China rose by 0.9&#xb0;C in the same period. Temperatures in China have risen particularly fast during recent decades (1956&#x2013;2012), increasing at a rate of 0.25&#xb0;C/10a, which is higher than the global average (<xref ref-type="bibr" rid="B39">Qin et&#x20;al., 2012</xref>). The variation of the projected temperature over the three source areas in this study are in accordance with the previous studies, which will continue to rise in the future (<xref ref-type="bibr" rid="B49">Tao et&#x20;al., 2011</xref>). However, the projected increase in temperature in this study is approximately 0.33&#xb0;C/10a, which is much higher than that in the past (<xref ref-type="bibr" rid="B15">Huang et&#x20;al., 2014</xref>). The projected regional average precipitation over the three source areas will likely increase in the rapid warming situation although several GCMs project a certain decrease in precipitation. Most previous studies support the findings although there is great uncertainty in precipitation projections (<xref ref-type="bibr" rid="B66">Zhang et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B10">Guo et&#x20;al., 2012</xref>).</p>
<p>Numerous studies have indicated that the precipitation in the Yangtze River basin will increase in the coming decades, and, as a result, stream flow will probably increase (<xref ref-type="bibr" rid="B2">Bian et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B62">Yu et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B31">Lu et&#x20;al., 2018</xref>), which is in accordance with the findings in this study. However, <xref ref-type="bibr" rid="B8">Gu et&#x20;al. (2015)</xref> found that annual runoff at the Panzhihua station in the upper Yangtze River basin during 2011&#x2013;2040 may decrease by 1.2&#x2013;3.5% compared to that in 1970&#x2013;1999, which is counter to the conclusions drawn in this study. The discrepancy might result from differences in the baseline period, future periods, GCMs, and the study catchments selected. Although inflow to the Danjiangkou Reservoir decreased in the past (<xref ref-type="bibr" rid="B26">Liu et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B47">Sun et&#x20;al., 2014</xref>), the projected runoff will likely increase by 2% in the coming decades. The hydrological regime is shifting to benefit the operation of the SNWD project due to climate change.</p>
</sec>
<sec id="s5">
<title>Summary and Conclusions</title>
<p>In the context of global warming, temperatures in the source areas of the SNWD project will continue to rise. Relative to the baseline period (1956&#x2013;2000), temperatures will rise by about 1.5&#xb0;C and 2.0&#xb0;C in the near future (2026&#x2013;2045) and the far future (2041&#x2013;2060). Precipitation will likely increase for all three source areas although GCM projections are quite dispersed and uncertain.</p>
<p>The grid-based model RCCC-WBM performs well for discharges in the study areas. The simulated runoff is associated with GCM projections. According to the nine GCMs, the median runoff will likely increase by less than 3% relative to the baseline for all three source areas of the SNWD project, which could guarantee the security of water supply to some extent. However, attention should be paid to the risk to water supply induced by extreme climate change conditions when the project operates in practice.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>CQ: conceptualization and methodology. GW and JQ: data curation and model. ZN: formal analysis and visualization. YW and GW: writing and editing the manuscript. QL: discussion and suggestions for data analysis.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research was financially supported by the National Key Research and Development Programs of China (Grants 2016YFA0601500, 2017YFA0605002, and 2017YFC0404602), the National Natural Science Foundation of China (Grant nos. 41830863, 51879162, 51609242, 51779146, and 41601025), and the State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering (Grant no. 2019nkzd02).</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 id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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