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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">964168</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.964168</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluation and evolution analysis of water ecosystem service value in the yangtze river delta region based on meta-analysis</article-title>
<alt-title alt-title-type="left-running-head">Shao et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.964168">10.3389/fenvs.2022.964168</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Shao</surname>
<given-names>Hongmei</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1851819/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Long</surname>
<given-names>Dian</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Jiaqi</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1909934/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Ling</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1910069/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>School of Economics and Management</institution>, <institution>China University of Geosciences</institution>, <addr-line>Wuhan</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/1266229/overview">Qingsong He</ext-link>, Huazhong University of Science and Technology, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1860503/overview">Peng-Fei Dai</ext-link>, East China University of Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1308987/overview">Han Wang</ext-link>, Guangxi University Nanning, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Dian Long, <email>longdian_yyh@126.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Land Use Dynamics, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>07</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>964168</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>06</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>07</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Shao, Long, He and Zhang.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Shao, Long, He 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>Rapid economic development, industrialization and urbanization lead to environmental pollution and damage the stability of regional ecosystems. The Yangtze River Delta region is an economically developed region in China, faces the problems of water environment pollution and water ecosystem service degradation. Reasonable assessment of water ecosystem service value (ESV) is of great significance for grasping the status of regional water ecosystem services, improving water ecological environment, and realizing regional sustainable development. This study collects 119 research literature about China, including 156 observations to establish a value transfer database; specially builds a Meta-analysis model including the variables of climate conditions, environmental pollution and environmental protection, then assesses the waters ESV in the Yangtze River Delta using the model and analyzes the changes from 2009 to 2018. The study finds that the location, population density, the area of the site, average annual precipitation, literature characteristics, landscape characteristics, wastewater discharge, environmental protection expenditure, and wastewater treatment costs can affect the water ESV significantly. Based on the meta-analysis benefit transfer model to evaluate the water ESV in Yangtze River Delta region is RMB 177,126 yuan/ <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>h</mml:mi>
<mml:mtext>a</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> and the growth rate is 27.18%. The place with the highest value per unit area is Shanghai, and the total value in Jiangsu Province is the highest. Economic development, waste water discharge and wastewater treatment costs are the main reasons for the changes and differences in the value of water ecosystem services in the Yangtze River Delta region. The contribution of this study to the field of water ESV assessment is that the meta-analysis model includes a broader set of influencing variables, including landscape, population density, climate change and environmental protection. It provides a practical reference for water ESV assessment on the local scale and a scientific basis for water area management related to the development of water area and ecological compensation, as well as promote the sustainable development of water ecosystems.</p>
</abstract>
<kwd-group>
<kwd>water ecosystem</kwd>
<kwd>ecosystem service value</kwd>
<kwd>meta-analysis</kwd>
<kwd>value transfer</kwd>
<kwd>the yangtze river delta region</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Ecosystem services are the various benefits that humans obtain from ecosystems (<xref ref-type="bibr" rid="B34">Millennium Ecosystem Assessment, 2005</xref>). Human survival is inseparable from the Earth&#x2019;s ecosystems and the services they provide. In the past 50&#xa0;years, the scale and speed of changes to ecosystems by human activities have accelerated (<xref ref-type="bibr" rid="B34">Millennium Ecosystem Assessment, 2005</xref>), and ecosystem services have become degraded and unsustainable. Compared with the needs of human survival and development, ecosystem services show scarcity characteristics and become assets that need to be maintained and managed by countries or regions. Ecosystem service value evaluation is an important link and decision-making basis for ecological compensation, government green development performance evaluation, and ecosystem collaborative management. With the industrialization and urbanization, the ecosystems of inland waters have become increasingly fragile, and problems such as the reduction of inland wetlands, the decline of water quality, and the deterioration of biodiversity have occurred. Reasonable assessment of the value of water ecosystem services can help to promote the management and sustainable use of water ecosystem services.</p>
<p>The research of <xref ref-type="bibr" rid="B13">Costanza et al. (1997)</xref> provides direction for the evaluation of land ecosystem service value. Since then, many experts have carried out extensive research on the evaluation of different types of ecosystem services at different land use scales (<xref ref-type="bibr" rid="B5">Bodin et al., 2006</xref>; <xref ref-type="bibr" rid="B50">Volk et al., 2008</xref>; <xref ref-type="bibr" rid="B30">Maldonado et al., 2013</xref>; <xref ref-type="bibr" rid="B44">Smith et al., 2015</xref>; <xref ref-type="bibr" rid="B46">Swirepik et al., 2016</xref>; <xref ref-type="bibr" rid="B27">L&#xe1;szl&#xf3; et al., 2018</xref>). <xref ref-type="bibr" rid="B37">Ouyang et al. (1999)</xref> used the market value method to estimate the six categories service value of terrestrial ecosystems in China. <xref ref-type="bibr" rid="B51">Xie et al. (2003)</xref>; <xref ref-type="bibr" rid="B52">Xie et al. (2008)</xref> adjusted the evaluation model proposed by <xref ref-type="bibr" rid="B13">Costanza et al. (1997)</xref>,and developed a service value coefficient for China&#x2019;s terrestrial ecosystem, which has been widely recognized and applied in China. This method is called the Ecological Service Value Coefficient Correction Method.</p>
<p>The water ecosystem service functions studied and evaluated include biodiversity (<xref ref-type="bibr" rid="B10">Broadbent et al., 2012</xref>; <xref ref-type="bibr" rid="B33">Mendoza, et al., 2012</xref>; <xref ref-type="bibr" rid="B31">Marcos and Ortega, 2014</xref>), carbon storage (<xref ref-type="bibr" rid="B32">Martinez-Harms et al., 2017</xref>), food production (<xref ref-type="bibr" rid="B28">Lawler et al., 2014</xref>; <xref ref-type="bibr" rid="B35">Moran et al., 2017</xref>), species habitat (<xref ref-type="bibr" rid="B38">Patru-Stupariu et al., 2020</xref>), recreational value (<xref ref-type="bibr" rid="B12">Chaikumbung et al., 2016</xref>), water quality improvement (<xref ref-type="bibr" rid="B48">Van Houtven et al., 2007</xref>) and other water ecosystem service functions. The assessment objects include coral reefs (<xref ref-type="bibr" rid="B8">Brander et al., 2007</xref>), lagoons (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>), mangroves(<xref ref-type="bibr" rid="B9">Brander et al., 2012a</xref>), lakes (<xref ref-type="bibr" rid="B40">Reynaud and Lanzanova, 2017</xref>), wetlands (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B6">Brander et al., 2012b</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>; <xref ref-type="bibr" rid="B18">Ghermandi et al., 2016</xref>) etc. The evaluation method mainly uses the evaluation model of Costanza and Xie, and also uses the market value evaluation method (<xref ref-type="bibr" rid="B17">Fitzpatrick et al., 2017</xref>), non-market value evaluation method (<xref ref-type="bibr" rid="B40">Reynaud and Lanzanova, 2017</xref>), conditional value method (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>). The same ecosystem services can be assessed using a variety of methods, so the results are largely dependent on the choice of assessment methods, and cannot be compared.</p>
<p>At the same time, investigating the land ecosystem status in the study area item by item and calculating its ecosystem service value are constrained by conditions such as time and cost. Moreover, a comprehensive assessment of multiple ecosystem services is more helpful for eco-environmental management than a single assessment of specific services (<xref ref-type="bibr" rid="B47">Taye et al., 2021</xref>). In this case, benefit transfer methods have attracted attention (<xref ref-type="bibr" rid="B7">Brander et al., 2006</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>).</p>
<p>This method utilizes a large number of research results, selects an appropriate amount of variables, adopts statistical and metro-logical methods to construct a corresponding value transfer model, and transfers the ecosystem service value of the study site to the policy site based on this, so as to obtain the ecosystem service value of the site to be studied (<xref ref-type="bibr" rid="B55">Zhao and Wang, 2011</xref>). Meta-analysis which is one kind of benefit transfer method has been used to evaluate the value of land ecosystem services, including research on the value of water ecosystem services since the year of 2000. The scope of the assessment includes Europe (<xref ref-type="bibr" rid="B7">Brander et al., 2006</xref>), the United States (<xref ref-type="bibr" rid="B48">Van Houtven et al., 2007</xref>), Canada (<xref ref-type="bibr" rid="B26">L&#x27;Ecuyer et al., 2021</xref>), northern Mexico (<xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>), Southeast Asia (<xref ref-type="bibr" rid="B9">Brander et al., 2012a</xref>), tropical India (<xref ref-type="bibr" rid="B18">Ghermandi et al., 2016</xref>), East Africa (<xref ref-type="bibr" rid="B8">Brander et al., 2007</xref>), developing countries (<xref ref-type="bibr" rid="B12">Chaikumbung et al., 2016</xref>) and the global (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>; <xref ref-type="bibr" rid="B40">Reynaud and Lanzanova, 2017</xref>). Researches on China include the Beijing-Tianjin-Hebei region (<xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>) and the city of Qingdao (<xref ref-type="bibr" rid="B45">Sun et al., 2018</xref>), but has not covered the Yangtze River Delta region. Most of the literatures show that the area of the study site (<xref ref-type="bibr" rid="B8">Brander et al., 2007</xref>; <xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>; <xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B17">Fitzpatrick et al., 2017</xref>; <xref ref-type="bibr" rid="B56">Zhou et al., 2020</xref>), the location (<xref ref-type="bibr" rid="B54">Zhang et al., 2016</xref>), the type of water area (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>; <xref ref-type="bibr" rid="B56">Zhou et al., 2020</xref>), ecosystem services (<xref ref-type="bibr" rid="B8">Brander et al., 2007</xref>; <xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>; <xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>; <xref ref-type="bibr" rid="B4">Bockarjova et al., 2020</xref>), population density (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>; <xref ref-type="bibr" rid="B15">Eric et al., 2022</xref>), the per capita GDP (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B33">Mendoza et al., 2012</xref>; <xref ref-type="bibr" rid="B6">Brander et al., 2012b</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B53">Zhang et al., 2015</xref>; <xref ref-type="bibr" rid="B18">Ghermandi et al., 2016</xref>; <xref ref-type="bibr" rid="B47">Taye et al., 2021</xref>), evaluation method (<xref ref-type="bibr" rid="B8">Brander et al., 2007</xref>; <xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B47">Taye et al., 2021</xref>), publication level (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>; <xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>) and the year of publication (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>; <xref ref-type="bibr" rid="B18">Ghermandi et al., 2016</xref>; <xref ref-type="bibr" rid="B47">Taye et al., 2021</xref>) affect the value of water ecosystem services. Few literature attempt to use the landscape characteristics (<xref ref-type="bibr" rid="B40">Reynaud and Lanzanova, 2017</xref>; <xref ref-type="bibr" rid="B39">Perosa et al., 2021</xref>) and climatic conditions of the research site (<xref ref-type="bibr" rid="B36">Nelson et al., 2013</xref>; <xref ref-type="bibr" rid="B29">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B43">Siriwardena et al., 2016</xref>; <xref ref-type="bibr" rid="B20">Gollany and Venterea, 2018</xref>; <xref ref-type="bibr" rid="B42">Scheiter et al., 2019</xref>; <xref ref-type="bibr" rid="B2">Balasubramanian, 2019</xref>; <xref ref-type="bibr" rid="B24">Kang et al., 2020</xref>) as variables in the Meta value transfer model, however, similar studies have not yet appeared in the evaluation of water ESV. The main drivers of inland water ecosystems are habitat change, climate change, overuse and pollution (<xref ref-type="bibr" rid="B34">Millennium Ecosystem Assessment, 2005</xref>). Therefore, the impact of climatic conditions and environmental pollution on the water ESV needs attention. In addition, the evaluation objects of related research in China are mainly large-scale areas such as lakes, wetlands and watersheds, and there is a lack of local-scale research. Without evaluating the water ecological environment of a specific area, it is impossible to provide effective opinions on the sustainable development of water ecosystem services in a specific area.</p>
<p>The Yangtze River Delta region with a relatively high level of economic development and population concentration in China, a recognized world-class urban agglomeration, plays a pivotal and strategic role in building China&#x2019;s modernization drive and all-round opening pattern. In 2020, the GDP, total import and export, foreign direct investment, and foreign investment accounted for 24.5%, 37%, 39%, 29% in China, and the urbanization rate is about 68%. With the rapid economic development, this region is faced with the problems of water quality decline, water environment pollution, and water ecosystem degradation. It is urgent to evaluate the water ESV of the regional.</p>
<p>This study estimates the ESV of the waters in the Yangtze River Delta region on the basis of optimizing the Meta value transfer model, and analyzes the factors that affect the water ESV, so as to provide support for the rational use of water resources and the decision-making of water ecological protection in the Yangtze River Delta region. This study focuses on the impact of climatic conditions, environmental pollution and protection on the water ESV, and provides empirical reference for the assessment of ecosystem service value at the local scale, so as to promote the coordinated development of regional economy, society and environment.</p>
</sec>
<sec id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The Yangtze River Delta region is located at the interface between the eastern coastal areas of China and the Yangtze River Basin (<xref ref-type="fig" rid="F1">Figure 1</xref>). The Yangtze River Delta region includes Shanghai, Zhejiang Province, Jiangsu Province and Anhui Province, covering an area of 358,000&#xa0;km<sup>2</sup>, which accounts for 3.73% of China&#x2019;s land area. The average elevation of the area is less than 200&#xa0;m, and most of it is plain with flat terrain. The climate in this area is the northeast subtropical monsoon climate, which is warm and humid, with rain and heat in the same period. The annual average temperature is 13&#xb0;C&#x223c;22&#xb0;C, the annual precipitation is 1,000&#x223c;1,400&#xa0;mm, and the seasonal distribution is relatively uniform. There are many rivers and lakes in this region, with the highest river network density in China. In 2018, the total amount of water resources was 211.91 billion m<sup>3</sup>, accounting for 7.72% of the national total. But the water resources per capita is only 940.3&#xa0;m<sup>3</sup>, less than half of the national average. The rapid development of regional economy has brought huge demand for water resources and put pressure on water ecosystem services. Industrial wastewater and domestic sewage discharge are major factors in water pollution. The region realized the importance of ecological environmental protection earlier, actively explored the ecological compensation mechanism of the river basin, and took the lead in implementing the river chief system and the lake chief system. The ecological environmental protection system and policies are relatively complete. In recent years, the ecological environment in the Yangtze River Delta region has continued to improve, but there are still problems such as insufficient overall protection, water environment pollution, ecosystem fragmentation and service function degradation. Although the Taihu Lake, Huaihe River and other watersheds have achieved remarkable results, and the water quality of the main streams of the Yangtze River and Qiantang River has remained good, the water pollution of small and medium-sized rivers is still serious. Taihu Lake, Yangcheng Lake, Dianshan Lake and other key lake areas show different degrees of eutrophication trends. The protection and restoration of the ecological environment is an urgent need for the comprehensive economic integration of the Yangtze River Delta region. Therefore, evaluating the status of water ecosystem services in the Yangtze River Delta region and analyzing the main influencing factors will help to clarify the path for the coordinated development of rapid economic growth and the improvement of ecosystem service functions, promote the green and high-quality development in this region.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the Yangtze River Delta region of China.</p>
</caption>
<graphic xlink:href="fenvs-10-964168-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data sources</title>
<p>Literature comes from China National Knowledge Infrastructure (CNKI), Web of Science and Google Scholar. This study search and collect the papers with keywords such as &#x201c;ecological value&#x201d;, &#x201c;value transfer&#x201d;, &#x201c;water ecological value&#x201d;, &#x201c;meta-analysis&#x201d;, &#x201c;ecosystem services&#x201d;, &#x201c;non-market valuation&#x201d;, which published about the water ecosystem services value of China after 2000.Literature meet the following requirements will be included in the value transfer database: 1) The study site is located in China; 2) The document clearly obtains the evaluation result of the water ecosystem service value; 3) The area data of the study site is available in the document or can be obtained from information channels such as statistical yearbooks. After screening, a total of 119 literature met the requirements, and 156 observations were obtained (<xref ref-type="table" rid="T1">Table1</xref>). The value transfer database included the information of the document title, author, research time, publication time, whether the document is a core journal, the location of the study site, the area of the study, unit area ecosystem service value of water, per capita GDP, population density which comes from 119 literature. Of the 119 articles, 62 were in the central and western regions, accounting for 51.2%, and 92 articles in core journals accounted for 77.31%. The assessment year range is 1986&#x2013;2017.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Information about literature included in the value transfer database.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Number of literature</th>
<th align="left">Number of observations</th>
<th align="left">Research time</th>
<th align="left">Publication time</th>
<th align="left">Number of core journal</th>
<th align="left">Eastern China</th>
<th align="left">Central China</th>
<th align="left">Western China</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">119</td>
<td align ="left">156</td>
<td align ="left">1986&#x2013;2017</td>
<td align ="left">2007&#x2013;2019</td>
<td align ="left">92</td>
<td align ="left">40</td>
<td align ="left">17</td>
<td align ="left">62</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In order to analyze the influence of the area on the of water ESV, this paper divides the study site into three major areas, east, middle and west, according to the division standard of my country&#x2019;s mainland area by the National Bureau of Statistics. The data of per capita GDP come from the Statistical Yearbook and the National Bureau of Statistics (<ext-link ext-link-type="uri" xlink:href="https://data.stats.gov.cn/">https://data.stats.gov.cn/</ext-link>).Taking into account changes in currency prices, per capita GDP and the value of ecosystem services are calculated on the basis of 2010 using the regional GDP per capita index. When calculating the population density of the study site, the scope of the beneficiary population is defined as the prefecture-level administrative region where the study area is located, and data come from the statistical yearbooks of various provinces in China over the years. The characteristics of climatic conditions are expressed by the average annual precipitation, and the data are from the National Bureau of Statistics, the Ministry of Water Resources of the People&#x2019;s Republic of China (<ext-link ext-link-type="uri" xlink:href="http://www.mwr.gov.cn/sj/">http://www.mwr.gov.cn/sj/</ext-link>), and the China Meteorological Administration (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>). The landscape characteristics are expressed by the number of water landscapes and nature reserves set up in the provinces to which the study area belongs. The data are from the National Bureau of Statistics and China Environmental Protection Database (<ext-link ext-link-type="uri" xlink:href="http://hbk.cei.cn/aspx/Left_DB.aspx?ID=5">http://hbk.cei.cn/aspx/Left_DB.aspx?ID&#x3d;5</ext-link>). The missing data is calculated using the average annual growth rate of the existing data. The characteristics of environmental pollution are represented by the amount of wastewater discharge. The data are from the National Bureau of Statistics and the Ministry of Housing and Urban-Rural Development of the People&#x2019;s Republic of China (<ext-link ext-link-type="uri" xlink:href="https://www.mohurd.gov.cn/">https://www.mohurd.gov.cn/</ext-link>). The missing data are calculated using the average annual growth rate of the existing data. The characteristics of environmental protection are represented by the variables of environmental protection expenditure and wastewater treatment cost, and the data are from the National Bureau of Statistics of China,the Ministry of Ecology and Environment of the People&#x2019;s Republic of China (<ext-link ext-link-type="uri" xlink:href="http://www.mee.gov.cn/hjzl/sthjzk/">http://www.mee.gov.cn/hjzl/sthjzk/</ext-link>). Whether the publication is a core journal is determined according to the 2020 Peking University Chinese Core Journal Catalogue. According to the 2007 China National Standard for Land Use Classification, the water ecosystem mainly includes six typical types of rivers, lakes, reservoirs, ponds, paddy fields and ditches. The water area of the Yangtze River Delta region adopts the data of the Second China Land Survey.</p>
</sec>
<sec id="s2-3">
<title>2.3 Methods</title>
<sec id="s2-3-1">
<title>2.3.1 Evaluation model based on meta-analysis</title>
<p>The general model of the meta-analysis (<xref ref-type="bibr" rid="B3">Bergstrom and Taylor, 2006</xref>) is:<disp-formula id="e1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> is used to represent the study site, <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the dependent variable, that is, the ecosystem service value of the study site, <italic>&#x3b1;</italic> represents the constant term, <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the independent variable, that is, various factors that affect the ecosystem service value of the study site, <inline-formula id="inf5">
<mml:math id="m6">
<mml:mi>&#x3b2;</mml:mi>
</mml:math>
</inline-formula> is a vector of regression coefficients for the independent variable, <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the residual term.</p>
<p>Referring to the method (<xref ref-type="bibr" rid="B9">Brander et al., 2012a</xref>; <xref ref-type="bibr" rid="B41">Salem and Mercer, 2012</xref>; <xref ref-type="bibr" rid="B47">Taye et al., 2021</xref>) and combining the characteristics of water ecosystem services studied in this paper, a meta-model, <xref ref-type="disp-formula" rid="e2">Eqs 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref>, is built. The variable information is shown in <xref ref-type="table" rid="T2">Table 2</xref>. The variables of annual precipitation, wastewater discharge, environmental protection expenditure, and wastewater treatment cost are included in <xref ref-type="disp-formula" rid="e2">Eqs 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref> to explore the impact on the value of water ecosystem services. The numerical variables (e.g. GDP per capita, the average annual precipitation, the amount of wastewater discharge) in this study are included in the model in the form of natural logarithms, which can reduce the fluctuation of the original data (but cannot be eliminated), improve the accuracy of model fitting and reduce heteroscedasticity (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>). <xref ref-type="disp-formula" rid="e3">Eq. 3</xref> contains a quadratic term for water area, which is used to analyze whether there is an area threshold for water ecosystems value (<xref ref-type="bibr" rid="B17">Fitzpatrick et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Fan et al., 2020</xref>). The ecosystem service functions assessed by the literature in the value transfer database are basically the same, so ecosystem service function does not taken as a variable; Similarly, 114 of the 119 literature in the value transfer database used the Ecological Service Value Coefficient Correction Method (<xref ref-type="bibr" rid="B13">Costanza et al., 1997</xref>; <xref ref-type="bibr" rid="B51">Xie et al., 2003</xref>; <xref ref-type="bibr" rid="B52">Xie et al., 2008</xref>) to calculate the ecosystem service value of water in a specific area, so the evaluation method does not taken as a variable.<disp-formula id="e2">
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<mml:mo>&#x3d;</mml:mo>
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<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
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<mml:mi>X</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
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<mml:mi>X</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x3b2;</mml:mi>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
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</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>7</mml:mn>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
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</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
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</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m9">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mtext>ln</mml:mtext>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
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<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
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<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>3</mml:mn>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
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<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
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<label>(3)</label>
</disp-formula>
</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Explanation of variables in Meta-regression model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">Code</th>
<th align="left">Description</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>Dependent Variable</italic>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Ecosystem service value per unit area(RMB/ <inline-formula id="inf7">
<mml:math id="m10">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mtext>a</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="left">
<inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">
<italic>Independent Variable</italic>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;<inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mtext>Eastern&#xa0;China</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Control group</td>
</tr>
<tr>
<td align="left">&#x2003;Central China</td>
<td align="left">
<inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">The location of study site is in the central China: 1 &#x3d; yes; 0 &#x3d; otherwise</td>
</tr>
<tr>
<td align="left">&#x2003;Western China</td>
<td align="left">
<inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">The location of study site is in the western China: 1 &#x3d; yes; 0 &#x3d; otherwise</td>
</tr>
<tr>
<td align="left">&#x2003;Real GDP per capita(RMB/person)</td>
<td align="left">
<inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Population density(person/km<sup>2</sup>)</td>
<td align="left">
<inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Average annual precipitation(mm)</td>
<td align="left">
<inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Landscape</td>
<td align="left">
<inline-formula id="inf16">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;National Nature Reserve</td>
<td align="left">
<inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Wastewater discharge(10&#xa0;kt)</td>
<td align="left">
<inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Environmental Protection Expenditure(RMB/ten thousand)</td>
<td align="left">
<inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Wastewater treatment costs(RMB/ten thousand)</td>
<td align="left">
<inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;The year of publication</td>
<td align="left">
<inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">The base year is 2000, the earliest year of database documents</td>
</tr>
<tr>
<td align="left">&#x2003;Core journal</td>
<td align="left">
<inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Whether the literatures are published in core journals: 1 &#x3d; yes; 0 &#x3d; otherwise</td>
</tr>
<tr>
<td align="left">&#x2003;Primary term of area(<inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> ha)</td>
<td align="left">
<inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
<tr>
<td align="left">&#x2003;Quadratic term of area(<inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> ha)</td>
<td align="left">
<inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Numeric variables (natural logarithm)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Validity test</title>
<p>Before using the Meta regression model for value transfer, in addition to the linear regression test, it is necessary to pass the validity test to avoid major transfer errors. In this paper, an error test, Paired-samples <italic>t</italic>-test, and correlation coefficient test are adopted to test the validity of the prediction model.</p>
<p>1) Error test. The error test reflects the effectiveness of the relative difference between the real value and the forecast value. The smaller the difference, the higher the effectiveness of the benefit transfer. The calculation formula is as follows:<disp-formula id="e4">
<mml:math id="m30">
<mml:mrow>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mi mathvariant="normal">&#x3d;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2a;</mml:mtext>
<mml:mn>100</mml:mn>
<mml:mtext>%</mml:mtext>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e4">Eq. 4</xref>, <inline-formula id="inf27">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the transfer value of policy site obtained through benefit transfer, <inline-formula id="inf28">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the original value of the study site in the existing study, <inline-formula id="inf29">
<mml:math id="m33">
<mml:mtext>&#x3b4;</mml:mtext>
</mml:math>
</inline-formula> and is the percentage error. It is generally considered that the error percentage in the range of 20%&#x2013;40% indicates that the model passes the test (<xref ref-type="bibr" rid="B6">Brander et al., 2012b</xref>). In this paper, 10% of the total sample in the value transfer database was selected as the control group for validity test.</p>
<p>2) Paired-samples <italic>t</italic>-test. Paired-samples <italic>t</italic>-test reflects whether the mean of the difference between the real value and the forecast value is statistically significantly different. Paired-samples <italic>t</italic>-test is based on the following propositions:<disp-formula id="e5">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Rejecting the null hypothesis <inline-formula id="inf30">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> means that the benefit transfer value and the value original value are inherently different, indicating that the effectiveness of the benefit transfer is not passed. Assuming that <inline-formula id="inf31">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mean of the difference between the forecast value and the true value, the above proposition can be expressed in the following form:<disp-formula id="e7">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>The paired-samples <italic>t</italic>-test was performed on two non-independent samples, and the statistic of the paired-samples <italic>t</italic>-test is as follows:<disp-formula id="e9">
<mml:math id="m40">
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>D</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>In the formula, <inline-formula id="inf32">
<mml:math id="m41">
<mml:mtext>D</mml:mtext>
</mml:math>
</inline-formula> represents the difference between each pair of forecast values and the real value, <inline-formula id="inf33">
<mml:math id="m42">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>D</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the mean of the difference samples, <inline-formula id="inf34">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of paired samples, <inline-formula id="inf35">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the standard deviation of the sample differences, and <inline-formula id="inf36">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the overall mean of the differences of all paired samples, and the <inline-formula id="inf37">
<mml:math id="m46">
<mml:mtext>t</mml:mtext>
</mml:math>
</inline-formula> statistic obeys the <inline-formula id="inf38">
<mml:math id="m47">
<mml:mtext>t</mml:mtext>
</mml:math>
</inline-formula> distribution with <inline-formula id="inf39">
<mml:math id="m48">
<mml:mrow>
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> degrees of freedom. The statistical significance of the <inline-formula id="inf40">
<mml:math id="m49">
<mml:mtext>t</mml:mtext>
</mml:math>
</inline-formula> value is that when the null hypothesis is rejected and the alternative hypothesis is accepted, it represents that there is no statistically significant difference between the result of the value transfer and the real value of the sample.</p>
<p>3) Correlation coefficient test. Correlation coefficient test is an effective test method used to measure the degree of correlation and trend between the forecast value and the real value. The Pearson correlation coefficient <inline-formula id="inf41">
<mml:math id="m50">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mtext>r</mml:mtext>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> between the two sets of outcomes is based on the following assumptions:<disp-formula id="e10">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mtext>r</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mtext>r</mml:mtext>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Assuming that the Pearson correlation coefficient is zero, the validity of the value transfer requires that the real value and the forecast value are correlated, and the null hypothesis should be rejected.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Results of the meta- regression model</title>
<p>In this paper, OLS (<xref ref-type="bibr" rid="B22">Hynes et al., 2018</xref>) is used to perform regression analysis on <xref ref-type="disp-formula" rid="e2">Eqs 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref>. As shown in <xref ref-type="table" rid="T3">Table 3</xref>, the Adjusted <italic>R</italic>
<sup>2</sup> of model 1 is 0.8104, indicating that the model variables can explain 81.04% of the water ESV per unit area, and the Adjusted <italic>R</italic>
<sup>2</sup> of Equation (3), which includes the quadratic term of the water area, becomes lower. The primary term of area in model 1 is significantly negative (<italic>p</italic>&#x3c;1%)), the coefficients of the primary term and quadratic term of area in model 2 are both negative, and the primary term of area becomes insignificant (<italic>p</italic>&#x3e;5%)), indicating that there is no inflection point in the impact of water area on ecosystem service value. By comparing the results of the two models, except for the water area variable, the direction, magnitude and significance of the remaining independent variable coefficients are basically the same. Therefore, this paper chooses model 1 as the value transfer model of water ecosystem services.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Regression results of benefit transfer model in meta-analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Code</th>
<th align="left">Variables</th>
<th align="left">Model 1 (<xref ref-type="disp-formula" rid="e2">Eq. 2</xref>)</th>
<th align="left">Model 2 (<xref ref-type="disp-formula" rid="e3">Eq. 3</xref>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf42">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">East</td>
<td align="left">Control group</td>
<td align="left">Control group</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf43">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Central</td>
<td valign="top" align="left">0.6856&#x2a;&#x2a;&#x2a; (0.0916)</td>
<td align="left">0.6894&#x2a;&#x2a;&#x2a; (0.1764)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf44">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">West</td>
<td valign="top" align="left">0.6692&#x2a;&#x2a;&#x2a; (0.1757)</td>
<td align="left">0.6696&#x2a;&#x2a;&#x2a; (0.1412)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf45">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Real GDP per capita</td>
<td valign="top" align="left">&#x2212;0.0691 (0.0865)</td>
<td align="left">&#x2212;0.0625 (0.0881)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf46">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Population density</td>
<td valign="top" align="left">0.1133&#x2a;&#x2a; (0.052)</td>
<td align="left">0.1088&#x2a;&#x2a; (0.0531)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf47">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Average annual precipitation</td>
<td valign="top" align="left">0.3566&#x2a;&#x2a;&#x2a; (0.0794)</td>
<td align="left">0.3637&#x2a;&#x2a;&#x2a; (0.0813)</td>
</tr>
<tr>
<td align="left">
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</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Landscape</td>
<td valign="top" align="left">&#x2212;0.1839&#x2a;&#x2a; (0.0823)</td>
<td align="left">&#x2212;0.1876&#x2a;&#x2a; (0.08931)</td>
</tr>
<tr>
<td align="left">
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<mml:mrow>
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</mml:math>
</inline-formula>
</td>
<td align="left">National Nature Reserve</td>
<td valign="top" align="left">&#x2212;0.0422 (0.0779)</td>
<td align="left">&#x2212;0.0470 (0.0790)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf50">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
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<mml:mn>9</mml:mn>
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</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Discharge of wastewater</td>
<td valign="top" align="left">0.5035&#x2a;&#x2a;&#x2a; (0.0752)</td>
<td align="left">0.5072&#x2a;&#x2a;&#x2a; (0.0760)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf51">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Environmental Protection Expenditure</td>
<td valign="top" align="left">&#x2212;0.4634&#x2a;&#x2a;&#x2a; (0.0474)</td>
<td align="left">&#x2212;0.4630&#x2a;&#x2a;&#x2a; (0.0475)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf52">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Wastewater treatment cost</td>
<td valign="top" align="left">0.1149&#x2a;&#x2a; (0.0567)</td>
<td align="left">0.1143&#x2a;&#x2a; (0.0569)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf53">
<mml:math id="m64">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Publication year</td>
<td valign="top" align="left">&#x2212;0.7695&#x2a;&#x2a;&#x2a; (0.0916)</td>
<td align="left">&#x2212;0.7728&#x2a;&#x2a;&#x2a; (0.0922)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf54">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Core journal</td>
<td valign="top" align="left">&#x2212;0.5896&#x2a;&#x2a;&#x2a; (0.1208)</td>
<td align="left">&#x2212;0.5842&#x2a;&#x2a;&#x2a; (0.1219)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf55">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Primary term of area</td>
<td valign="top" align="left">&#x2212;0.0184&#x2a;&#x2a;&#x2a; (0.0051)</td>
<td align="left">&#x2212;0.0106 (0.0243)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf56">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Quadratic term of area</td>
<td valign="top" align="left">&#x2014;</td>
<td align="left">&#x2212;0.0167&#x2a;&#x2a;&#x2a; (0.0063)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf57">
<mml:math id="m68">
<mml:mrow>
<mml:mtext>cons</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Constant term</td>
<td valign="top" align="left">10.1155&#x2a;&#x2a;&#x2a; (1.1931)</td>
<td align="left">10.0461&#x2a;&#x2a;&#x2a; (1.2278)</td>
</tr>
<tr>
<td align="left">Adjusted <italic>R</italic>
<sup>2</sup>
</td>
<td align="left">&#x2014;</td>
<td valign="top" align="left">0.8104</td>
<td align="left">0.8091</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<inline-formula id="inf58">
<mml:math id="m69">
<mml:mi>N</mml:mi>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2014;</td>
<td valign="top" align="left">156</td>
<td valign="top" align="left">156</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; denote significance at the 10%, 5%, and 1% levels, respectively. Standard Deviations are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>According to the <italic>p</italic> value, it can be seen that except per capita GDP and nature reserves (<italic>p</italic>&#x3e;5%), other variables have significant effects. The average annual precipitation had a significant positive effect on the water ESV (<italic>p</italic>&#x3c;1%). The increase in precipitation can raise the water level of the water area, and the increase in the amount of water resources can alleviate the problem of the decline of lake and drinking water quality to a certain extent. Wastewater discharge has a positive impact on water ecosystem service value, which is inconsistent with expectations. Environmental protection expenditure has a significant inhibitory effect on the service value of water ecosystems, but wastewater treatment costs have a significant positive effect, indicating that environmental protection expenditure items are relatively broad, and wastewater treatment costs directly promote the improvement of water ecological environment.</p>
<p>Compared with the eastern region, the central and western regions have a significant promoting effect on the service value of water ecosystems, and the impact effects are 0.6856 and 0.6692, respectively. This result is in line with the distribution characteristics of water resources in our country. The real per capita GDP has a negative impact on the service value of water ecosystems, indicating that China&#x2019;s current economic development is at the expense of destroying the water ecological environment; but the <italic>p</italic> value of per capita GDP is not significant. The impact of population density on the water ESV was significantly positive. The greater the population density, the greater the potential number of people benefiting from the ecosystem services provided by the waters (<xref ref-type="bibr" rid="B19">Ghermandi et al., 2010</xref>; <xref ref-type="bibr" rid="B23">Johnston and Rosenberger, 2010</xref>; <xref ref-type="bibr" rid="B11">Camacho-Valdez et al., 2013</xref>). The water area has a significant negative impact on the water ecosystem service value, indicating that the water area and the unit ESV may have the phenomenon of decreasing scale (<xref ref-type="bibr" rid="B14">Enjolras and Boisson, 2010</xref>). When problems such as water quality decline and aquatic biodiversity reduction continue to occur in the water ecosystem, the larger the area, the lower the water ESV per unit.</p>
<p>Landscape settings have a significant inhibitory effect on the service value of water ecosystems. It shows that the commercial development of water resources has not done a good job of environmental protection in the scenic area, which is not conducive to the improvement of the service value of the water ecosystem. At the same time, the results showed that nature reserves did not improve the water ecosystem service value. The reason may be that the landscape variables are represented by the number of geological and geomorphological landscapes and nature reserves in the province of the study area, rather than directly reflecting the landscape characteristics of the study area.</p>
<p>The publication year has a significant negative impact. The research results show that the value of water ecosystem services decreases by about 0.77% per year. The reason may be that with the passage of time, the data acquisition methods and processing techniques are more rigorous, and the results obtained are more accurate, resulting in a decay effect over time. In addition, core journals report lower research values than non-core journals. Articles in core journals are subject to peer review, a process that may lead to more conservative valuations (<xref ref-type="bibr" rid="B12">Chaikumbung et al., 2016</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Validity test of the meta- regression model</title>
<sec id="s3-2-1">
<title>3.2.1 Error test</title>
<p>In this paper, the &#x201c;set aside method&#x201d; is used to select the control group according to the proportion of 10% of the total sample size in the database for validity test. The control sample includes 5 policy areas in the eastern region, 2 policy areas in the central region, and 8 policy areas in the western region, 12 are core journals and 3 are non-core journals. The calculated out-of-sample error transfer range is between 2.49% and 18.07%, and the average transfer value is 5.64%. The results show that the forecast value of out-of-sample data is effective, and the model constructed in this paper passes the error test.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Paired-samples <italic>t</italic>-Test</title>
<p>Paired-samples <italic>t</italic>-test is performed on the true value and forecast value of the sample, and <xref ref-type="table" rid="T4">Table 4</xref> is obtained.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Paired <italic>t</italic>-test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Variable</th>
<th align="center">Sample size</th>
<th align="center">Mean</th>
<th align="left">Standard deviation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Forecast value</td>
<td align="left">Forecast</td>
<td align="left">15</td>
<td align="char" char=".">11.2393</td>
<td align="left">1.1799</td>
</tr>
<tr>
<td align="left">Real value</td>
<td align="left">Real</td>
<td align="left">15</td>
<td align="char" char=".">11.3647</td>
<td align="left">0.0199</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
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<mml:math id="m70">
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</mml:mrow>
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<p>
<inline-formula id="inf63">
<mml:math id="m74">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mtext>r</mml:mtext>
<mml:mrow>
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</mml:mrow>
<mml:mo>)</mml:mo>
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<mml:mn>0.2803</mml:mn>
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<mml:mn>0.7197</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</p>
<p>Among them, mean (diff) represents the mean of the difference, mean (forecast-real) represents the mean of the difference between the forecast value and the real value.</p>
<p>When <inline-formula id="inf64">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>: <inline-formula id="inf65">
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<mml:mrow>
<mml:mtext>mean</mml:mtext>
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</mml:math>
</inline-formula> 0, the <inline-formula id="inf66">
<mml:math id="m77">
<mml:mtext>P</mml:mtext>
</mml:math>
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<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
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</mml:mrow>
</mml:math>
</inline-formula>: <inline-formula id="inf68">
<mml:math id="m79">
<mml:mrow>
<mml:mtext>mean</mml:mtext>
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<mml:mrow>
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</mml:mrow>
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</mml:mrow>
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</mml:mrow>
</mml:math>
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</sec>
<sec id="s3-2-3">
<title>3.2.3 Correlation coefficient test</title>
<p>The correlation coefficient test is carried out on the real value and forecast value of the sample, and <xref ref-type="table" rid="T5">Table 5</xref> is obtained. The coefficient between the forecast value and the actual value is between 0.5 and 0.8, which is a significant correlation, so it passes the correlation coefficient test.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Correlation coefficient test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Variable</th>
<th align="left">Test results</th>
<th align="left">Forecast</th>
<th align="left">Real</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Forecast value</td>
<td align="left">Forecast</td>
<td align="left">Pearson correlation</td>
<td align="left">1</td>
<td align="left">&#x2212;0.3887</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">Significance (two-sided)</td>
<td align="left"/>
<td align="left">0.0104</td>
</tr>
<tr>
<td align="left">Real value</td>
<td align="left">Real</td>
<td align="left">Pearson correlation</td>
<td align="left">
<inline-formula id="inf69">
<mml:math id="m80">
<mml:mrow>
<mml:mn>0.7246</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">Significance (two-sided)</td>
<td align="left">0.0022</td>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Forecast results of the water ESV in the yangtze river delta region</title>
<p>The Yangtze River Delta region includes four provinces and cities: Shanghai, Jiangsu, Zhejiang and Anhui. The above four provinces and cities are located in the eastern region of China, so the geographical partition variables are not assigned. The year of publication is the year of writing 2021, with 2000 as the minimum base year, and the value is 22. The publication quality is expressed by the publication level, that is, whether it belongs to the core journals of Peking University. This study does not belong to the core journals of Peking University, and the value is 0.The unit area value of the water ecosystem services in the four provinces and cities in the Yangtze River Delta region from 2009 to 2018 was calculated (<xref ref-type="table" rid="T6">Table 6</xref>). In 2009 the total value of water ecosystem services in the Yangtze River Delta region was RMB1434.0423 million yuan and the value per unit area was RMB 131,292 yuan/ <inline-formula id="inf70">
<mml:math id="m81">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. In 2018, the total and per unit area value became RMB 1434.0423 million yuan and RMB 166,976 yuan/ <inline-formula id="inf71">
<mml:math id="m82">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The water ESV per unit area in Yangtze River Delta region is RMB 177,126 yuan/ <inline-formula id="inf72">
<mml:math id="m83">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>/</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> and the growth rate is 27.18%.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>The per unit area water ESV in the Yangtze river delta region (yuan/ha).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">year</th>
<th align="left">Shanghai</th>
<th align="left">Jiangsu</th>
<th align="left">Zhejiang</th>
<th align="left">Anhui</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2009</td>
<td align="left">43,349</td>
<td align="left">29,881</td>
<td align="left">35,341</td>
<td align="left">22,722</td>
</tr>
<tr>
<td align="left">2010</td>
<td valign="top" align="left">33,782</td>
<td valign="top" align="left">28,799</td>
<td valign="top" align="left">41,553</td>
<td valign="top" align="left">22,912</td>
</tr>
<tr>
<td align="left">2011</td>
<td valign="top" align="left">73,740</td>
<td valign="top" align="left">39,128</td>
<td valign="top" align="left">52,602</td>
<td valign="top" align="left">37,396</td>
</tr>
<tr>
<td align="left">2012</td>
<td valign="top" align="left">82,531</td>
<td valign="top" align="left">31,850</td>
<td valign="top" align="left">54,539</td>
<td valign="top" align="left">34,714</td>
</tr>
<tr>
<td align="left">2013</td>
<td valign="top" align="left">79,864</td>
<td valign="top" align="left">29,861</td>
<td valign="top" align="left">50,534</td>
<td valign="top" align="left">32,104</td>
</tr>
<tr>
<td align="left">2014</td>
<td valign="top" align="left">93,475</td>
<td valign="top" align="left">30,382</td>
<td valign="top" align="left">44,995</td>
<td valign="top" align="left">36,960</td>
</tr>
<tr>
<td align="left">2015</td>
<td valign="top" align="left">79,118</td>
<td valign="top" align="left">34,296</td>
<td valign="top" align="left">50,331</td>
<td valign="top" align="left">35,607</td>
</tr>
<tr>
<td align="left">2016</td>
<td valign="top" align="left">80,728</td>
<td valign="top" align="left">35,895</td>
<td valign="top" align="left">40,311</td>
<td valign="top" align="left">37,924</td>
</tr>
<tr>
<td align="left">2017</td>
<td valign="top" align="left">58,385</td>
<td valign="top" align="left">27,498</td>
<td valign="top" align="left">36,843</td>
<td valign="top" align="left">24,334</td>
</tr>
<tr>
<td align="left">2018</td>
<td valign="top" align="left">68,646</td>
<td valign="top" align="left">28,614</td>
<td valign="top" align="left">42,734</td>
<td valign="top" align="left">26,982</td>
</tr>
<tr>
<td align="left">mean</td>
<td valign="top" align="left">69,362</td>
<td valign="top" align="left">31,620</td>
<td valign="top" align="left">44,978</td>
<td valign="top" align="left">31,166</td>
</tr>
<tr>
<td align="left">Changes from 2009 to 2018</td>
<td valign="top" align="left">25,297</td>
<td valign="top" align="left">-1,266</td>
<td valign="top" align="left">7,393</td>
<td valign="top" align="left">4,261</td>
</tr>
<tr>
<td align="left">Rate of change</td>
<td valign="top" align="left">58.36%</td>
<td valign="top" align="left">-4.24%</td>
<td valign="top" align="left">20.92%</td>
<td valign="top" align="left">18.75%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>From 2009 to 2018, the total value of water ecosystem services in the Yangtze River Delta region increased in fluctuations, with an overall value-added of about 3.19481 billion yuan. As shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, except for Jiangsu Province, the total value of water ecosystem services in Shanghai, Zhejiang Province and Anhui Province increased in fluctuations, among which Shanghai increased the most, with an increase of about 5.59614 billion yuan; The second is Zhejiang Province, with an increase of about 4.28838 billion yuan; Anhui Province has the least increase, about 1.29057 billion yuan.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Change of the total water ESV in the Yangtze River Delta Region from 2009 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-10-964168-g002.tif"/>
</fig>
<p>Among the four provinces and cities in the Yangtze River Delta region, the average value of ecosystem services per unit area of water in Jiangsu Province is about 31,620 yuan/ <inline-formula id="inf74">
<mml:math id="m85">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, ranking third, but its water area accounts for 67.53% of the total water area in the Yangtze River Delta region. So the total value of water ecosystem services in the province ranks first, accounting for about 58.98% of the total value. It can be said that the changes in the total value of water ecosystem services in the Yangtze River Delta region are largely affected by the changes in water ecosystem services in Jiangsu Province.</p>
<p>The value per unit area is ranked from high to low as follows: Shanghai, Zhejiang province, Jiangsu province, and Anhui provinces, among which Jiangsu province and Zhejiang province have higher total water ecosystem services value, which is related to their larger water area (<xref ref-type="fig" rid="F3">Figure 3</xref>); the average value of ecosystem services per unit area of Shanghai waters is about 69,362 yuan/ha, and its unit value is about 1.5&#x2013;2.5 times that of other provinces and cities. The total value of ecosystem services in the waters of provinces and cities in the Yangtze River Delta region in 2018 is ranked from high to low: Jiangsu Province, Zhejiang Province, Shanghai, and Anhui Province (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial variation of the per unit area water ESV in the Yangtze River Delta Region From 2009 to 2018. Note: The Unit Value of the water ecosystem services is 10,000.<inline-formula id="inf75">
<mml:math id="m86">
<mml:mrow>
<mml:mtext>yuan</mml:mtext>
<mml:mo>/</mml:mo>
<mml:mi>h</mml:mi>
<mml:mtext>a.</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</p>
</caption>
<graphic xlink:href="fenvs-10-964168-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Spatial variation of the total water ESV in the Yangtze River Delta region from 2009 to 2018. Note: The unit of the total water ESV is 100 million yuan.</p>
</caption>
<graphic xlink:href="fenvs-10-964168-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 The impact of climate change, environmental pollution and conservation variables on the water ESV is significant and worthy of attention</title>
<p>Climate change, environmental pollution and conservation variables are the focus of this paper. Relevant scholars have analyzed the impact of different climatic conditions on the value of ecosystem services such as forests, cultivated land, and grasslands (<xref ref-type="bibr" rid="B36">Nelson et al., 2013</xref>; <xref ref-type="bibr" rid="B29">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B43">Siriwardena et al., 2016</xref>; <xref ref-type="bibr" rid="B20">Gollany and Venterea, 2018</xref>; <xref ref-type="bibr" rid="B42">Scheiter et al., 2019</xref>; <xref ref-type="bibr" rid="B2">Balasubramanian, 2019</xref>; <xref ref-type="bibr" rid="B24">Kang et al., 2020</xref>). This paper believes that it is particularly important to study the impact of climatic conditions on the value of water ecosystem services. In recent years, under the influence of global warming and extreme climate, the frequency and intensity of heavy rainfall will increase. The resulting increase in runoff can carry a large amount of suspended solids, nutrients, heavy metals and organic pollution in the watershed and surrounding cities into the water, it may have an impact on the ecosystem structure and function of the water. At the same time, less precipitation will also lead to water area shrinkage, poor water quality, reduction of water storage capacity, eutrophication of water bodies, and reduction of aquatic biodiversity. Combined with the characteristics of water ecosystems, this paper believes that compared with temperature, evaporation, frost-free period, etc., the impact of precipitation on the service value of water ecosystems is more intuitive. The results of this study show that the average annual precipitation has a significant positive effect on the value of water ecosystem services.</p>
<p>In the results of this paper, the positive impact of wastewater discharge on the value of water ecosystem services may be related to the large proportion of the central and western regions (52.1%) in the constructed value transfer database. From 2010 to 2017, the average wastewater discharge in the western region of our country was about 13,272.59 million tons, 50% of that in the eastern region. The negative impact of wastewater discharge on the water environment has a process of quantitative change to qualitative change. Only when the wastewater discharge is directly discharged without treatment and exceeds the capacity of the water area, the ecological environment of the water area will be harmed. The level of urbanization and industrialization in western China is relatively backward, and the discharge of wastewater may not exceed the water capacity, so the regression results have a positive impact. In addition, the cost of water pollution control in environmental protection expenditures can really help improve the value of local ecosystem services. From 2010 to 2017, the sub-projects of local financial environmental protection expenditure did not explicitly target the improvement of water ecological environment. The results that the inhibitory effect of local fiscal environmental protection expenditure on water ecosystem services may be related to this.</p>
</sec>
<sec id="s4-2">
<title>4.2 Social economy, environmental pollution and environmental protection are important factors affecting the waters EVS of the yangtze river delta region</title>
<p>Years, geographical divisions, publication quality, climate change, environmental protection and pollution factors have a greater impact on the value of water ecosystem services. As the data of geographical divisions, natural climatic conditions, literature publication years, and literature quality of the four provinces and cities in the Yangtze River Economic Belt are the same, the regional differences in the value of water ecosystem services per unit area are mainly affected by the characteristics of social economy, environmental pollution and environmental protection. Changes in total value are also affected by changes in water area. In the Yangtze River Delta region, Shanghai has the highest average value per unit area, per capita GDP and population density, while Anhui Province has the lowest. Although the effect of per capita GDP in the research results is negative, the economic development characteristics combined with population density have a positive effect on ESV in the waters of the Yangtze River Delta. Areas with high levels of economic development have high ESV in waters.</p>
<p>The Yangtze River Delta region is economically developed, and the discharge of wastewater is increasing year by year. Among them, the discharge of wastewater in Jiangsu Province is the highest, which is an important factor for the high value per unit area of Jiangsu Province. The Yangtze River Delta region attaches great importance to environmental protection. Although the total amount of wastewater discharge is high, more wastewater treatment facilities are invested, and the wastewater treatment rate and compliance rate are relatively high, reducing the degree of environmental pollution caused by wastewater discharge. To a certain extent, it can explain the positive effect of wastewater discharge on the value of the results shown in this paper. The revelation is that the government should not only focus on controlling the total discharge, but also on the quality of the discharge (the rate of compliance with wastewater treatment standards) when controlling pollution discharge. The impact of environmental pollution and environmental protection on value is relative. Studies have shown that water pollution control costs in environmental protection expenditures can really help improve the value of local ecosystem services. Although the environmental protection expenditures in the provinces and cities in the Yangtze River Delta are increasing year by year, the proportion of water-related environmental protection expenditures has always been low, resulting in a decline in the value of the unit area of water ecosystem services in the provinces and cities. In 2017 and 2018, the expenditures related to water environment protection in Jiangsu Province only accounted for 0.34% and 0.82% of the expenditures on environmental protection, less than 1%. Therefore, increasing the expenditure on water environment protection will help to increase the value of water ecosystem services. In the case of limited financial funds, governments at all levels should allocate the investment funds reasonably according to the importance of different land types, find out the main contradictions facing the current water ecological environment, carry out targeted governance, and improve the utilization efficiency of funds.</p>
</sec>
<sec id="s4-3">
<title>4.3 Limitation and further research</title>
<p>The limitations of this study exist in two aspects. First, the meta-analysis results were influenced by the samples in the value transfer database. 1) Due to the geographical factors and distribution characteristics of water resources in our country, half of the literature research sites in the database are in the western region, while the economic and social development of central and eastern China is different, resulting in the impact of per capita GDP, climate variables, and environmental pollution variables to deviate from expectations; 2) The specific ecosystem service functions involved in the literature in the database are basically the same, and 95% of them use the same type of assessment method, so this paper does not explain the impact of service function characteristics and research method characteristics; 3) The database of this article is mainly Chinese literature. Therefore, it is necessary to continuously expand and update the sample information of the database in the future to improve the interpretation accuracy of the model and establish a long-term transfer model of water ecosystem service value. Second, the data of the characteristic variables of landscape, climate change, environmental pollution and environmental protection are selected from the data of the provinces and cities where the waters are located, which cannot accurately reflect the characteristics of the research site, and affect the significance of the results and the degree of variable interpretation. In the future, more attempts will be made to explore the impact of climate variables (temperature) on aquatic ecosystem services.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>In this paper, a water ecosystem service value transfer model is proposed based on meta-analysis method for evaluating the Yangtze River Delta region. Base on the previous findings, several conclusions can be outlined as follows:</p>
<p>First, the meta-analysis value transfer model is optimized, and the factors affecting the water EVS are more comprehensively considered. On the basis of considering factors such as per capita GDP, population density, geographical division, etc., this paper also introduces natural climatic conditions (average annual precipitation), scenic attribute factors (the number of scenic spots and nature reserves set up in the province where the study area is located), environmental pollution (wastewater discharge) and environmental protection (environmental protection expenditures and wastewater treatment costs) and other factors. Using error test, Paired-samples <italic>t</italic>-test and correlation coefficient test to test the validity of water ecosystem service value transfer model, the results show that the model is reliable and effective.</p>
<p>Second, the regression results of the meta-analysis model show that: 1) Variables such as the year of publication, whether it is a core journal, water area, the per capita GDP, landscape attribute variables, and environmental protection costs all have a negative impact on the service value of water ecosystems; 2) The central and western regions, population density, average annual precipitation, total wastewater discharge and wastewater treatment costs all have a positive impact on the value of water ecosystem services; 3) The impact of per capita GDP and nature reserves is not significant.</p>
<p>Third,the water ESV in the Yangtze River Delta region were about 177,126 yuan/ha/year, with a total value of about 16,281,893&#xa0;yuan/year from 2009 to 2018 and there are differences among provinces and cities.The higher total ESV of water areas in Jiangsu and Zhejiang provinces is related to their larger water area. The higher ESV per unit area in Shanghai affected by characteristics of economic development, waste water discharge and waste water treatment costs.</p>
<p>The main point of this paper is to show that the meta-analysis method has the advantages of quickness, convenience and low cost in evaluating the value of ecosystem services, which is of great significance to the accounting of natural resources assets (<xref ref-type="bibr" rid="B49">Vedogbeton and Johnston, 2020</xref>; <xref ref-type="bibr" rid="B21">Grammatikopoulou and Vackarova, 2021</xref>; <xref ref-type="bibr" rid="B25">Kang et al., 2022</xref>). At the same time, climate change, environmental pollution and environmental protection have an impact on the value of water ecosystem services, and the current government expenditure on wastewater treatment has a positive effect. Therefore, continuously strengthening environmental governance and ecological protection will help enhance the regional value of water ecological services. For example: increasing investment in water environment pollution control, rationally allocating funds for environmental protection expenditure, increasing investment in sewage treatment technology research and construction.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<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 author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>Conceptualization, HS; methodology, DL, JH; formal analysis, DL, JH, LZ; data curation, DL, JH, LZ.; writing&#x2014;original draft preparation, HS, DL; writing&#x2014;review and editing, HS; supervision, HS. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research was supported by the Humanities and Social Sciences Fund of the Ministry of Education of China (Grant No.17YJC790122).</p>
</sec>
<ack>
<p>We would like to thank the reviewers for their thoughtful comments that helped improve the quality of this work.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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