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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2023.1192952</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Analysis of the gains and losses of ecosystem service value under land use change and zoning in Qiqihar</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zuo</surname>
<given-names>Zhiqian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2256848"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Yanzhao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Ran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Jinxiao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Pengtao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Land and Resources, Hebei Agricultural University</institution>, <addr-line>Baoding</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>College of Resources and Environment, University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Key Laboratory of Carrying Capacity Assessment for Resources and Environment, Ministry of Natural Resources</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Key Laboratory for Farmland Eco-Environment of Hebei Province, Department of Science and Technology of Hebei Province</institution>, <addr-line>Baoding</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Field Scientific Observation and Research Station of Land Resource Utilization Around Bohai Sea, Ministry of Natural Resources</institution>, <addr-line>Cangzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Xueru Zhang, Hebei University of Economics and Business, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Shangcheng Li, PKU, China; Mingjun Ding, Jiangxi Normal University, China; Jianzhai Wu, Chinese Academy of Agricultural Sciences (CAAS), China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Pengtao Zhang, <email xlink:href="mailto:zhangpt@hebau.edu.cn">zhangpt@hebau.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1192952</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>03</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>06</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Zuo, Yang, Wang, Li and Zhang</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Zuo, Yang, Wang, Li 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>Under a background of uncoordinated economic development and the ecological environment, quantifying the ecological effect brought by land resource changes, have become research key and hotspots. To explore land use change and its impact on ecosystem service value (ESV), the land use change analysis method, ecosystem service evaluation model, flow direction analysis model and two-dimensional graph theory clustering method were used to analyze the profit and loss of ESV in Qiqihar in 2010 and 2020 and the division of ecological function areas with counties as units. The results show that: 1) The land use change in Qiqihar city is more obvious, Among them, the area of cultivated land, wetland, construction land and other increases, Woodland, grassland, water area decreased, The changed land area accounts for 30.95% of the total area; 2) The ESV in Qiqihar city increased by 869 million yuan, The sum of the value of cultivated land and wetland exceeded 70.0% of the ESV, is the main source of ESV in Qiqihar city; 3) Not all land-use shifts are conducive to ESV growth. The increase of ESV mainly comes from the flow of cultivated land and grassland to the wetland; Conversion of woodlands, water area, wetlands to other types causes ESV loss, the most loss is the conversion of wetlands to cultivated land; 4) Qiqihar city is divided into the central wetland ecological conservation area, the western characteristic agriculture and dotted wetland ecological function area, and the northeast agricultural ecological environment construction functional area. Three policies were proposed to improve ESV:(1) give play to the radiation role of wetland nature reserves; (2) popularize the black land protection technology model; and (3) prevent and control agricultural non-point source pollution and promote clean agriculture.</p>
</abstract>
<kwd-group>
<kwd>land use change</kwd>
<kwd>ecosystem service value</kwd>
<kwd>the flow-oriented model</kwd>
<kwd>ecological function zoning</kwd>
<kwd>Qiqihar city</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="7"/>
<equation-count count="3"/>
<ref-count count="59"/>
<page-count count="14"/>
<word-count count="8595"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Urban Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The concept of Lucid Waters and Lush Mountains Are Invaluable Assets has been deeply rooted in the hearts of the people since the 18<sup>th</sup> National Congress of the CPC. Green has become increasingly important for high-quality development. The construction of ecological civilization has a bearing on the well-being of the people and the future of the nation. Realizing ecological sustainable development has become the focus of the world. ESV, a hot topic of sustainable development, has been widely regarded by researchers as one of the main indicators to evaluate ecological and environmental changes (<xref ref-type="bibr" rid="B16">Le, 2022</xref>; <xref ref-type="bibr" rid="B57">Zhang J. et&#xa0;al., 2022</xref>). Ecosystem service function refers to various benefits that humans can directly or indirectly obtain from the ecosystem (<xref ref-type="bibr" rid="B2">Costanza et&#xa0;al., 1997</xref>). They are usually divided into four categories: supply, regulation, support, and culture (<xref ref-type="bibr" rid="B39">Swallow et&#xa0;al., 2009</xref>). Land use change changes the structure of the land ecosystem (<xref ref-type="bibr" rid="B55">Zhang X et al., 2022</xref>), which is an important part of the ecosystem. It also affects the ecosystem service function and ESV (<xref ref-type="bibr" rid="B17">Li et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B45">Xie et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B54">Yuan et&#xa0;al., 2021</xref>). Therefore, ESV research based on land use can grasp the spatiotemporal pattern of regional land use change and its impact on ESV and provide a theoretical basis and reference for ecological construction.</p>
<p>Researchers have made rich achievements in studying ecosystem services (<xref ref-type="bibr" rid="B16">Le, 2022</xref>) in recent years. Costanza (<xref ref-type="bibr" rid="B2">Costanza et&#xa0;al., 1997</xref>) explained the relationship between natural capital and ecological service function in 1997. He also used ESV to measure ecosystem function and represented the impact of different land use changes on ecological service function in the form of monetization. Xie proposed the equivalent factor method (<xref ref-type="bibr" rid="B47">Xie et&#xa0;al., 2003</xref>) based on the actual situation in China in 2003. He then supplemented and revised it in 2015 (<xref ref-type="bibr" rid="B48">Xie et&#xa0;al., 2015</xref>). Studies on ecosystem service function are analyzed from the perspective of administrative regions (<xref ref-type="bibr" rid="B8">Guo et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B22">Li et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B28">Mamat et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B58">Zhao et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B15">Kremer et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B7">Gashaw et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B34">Ruiz-Sandoval et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B37">Solomon et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B53">Yu et&#xa0;al., 2022</xref>) and natural divisions such as watersheds and urban agglomeration (<xref ref-type="bibr" rid="B25">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B32">Pan et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B3">Das et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B13">Huang et&#xa0;al., 2022</xref>) in terms of research scale.</p>
<p>It mainly includes comprehensive research on the ecosystem and special research on the single ecosystem and service value (<xref ref-type="bibr" rid="B5">Fujii et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B35">Schild et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B55">Zhang X et&#xa0;al., 2022</xref>) in terms of research contents. Most of the existing literature calculates the spatiotemporal evolution of ESV in provinces, cities, and counties. Few of them analyze the flow direction of ESV and study the ecological function zoning of land use according to various ESVs in the county. The gains and losses and zoning of ESV under land use change play an important role in developing and managing differentiated land as well as regional sustainable development. There are few studies on the relatively underdeveloped northeast China at present, especially in the wind-sand, drought-prone, and black-soil areas.</p>
<p>Qiqihar, located in one of the world&#x2019;s three major Black Soil Belts, is known as the National Granary, which has provided grain production support for Heilongjiang Province and even the whole country. Drastic changes have taken place in land use cover in this region since the 20<sup>th</sup> century, and land use types are constantly changing. Therefore, the urgency of curbing ecological environment deterioration (<xref ref-type="bibr" rid="B30">Niu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B43">Wen et&#xa0;al., 2021</xref>), and the construction and function improvement of the ecosystem have attracted much attention. The study on ESV in Qiqihar has an early time series, and there is a lack of recent studies on ESV and the gain and loss relation between land use change and ESV in this region. The key problem to be solved is to grasp the status quo of land use in Qiqihar, study how the changes of land use types affect the rate of flow and flow direction of ESV in the city, And grouped according to the characteristics of single ESV combination of each unit area in different counties. According to the characteristics of different ecological function zones, reasonable and differentiated implementation and management plans should be formulated. This study used GIS tools to reveal the law of land use change in Qiqihar, analyzed the ESV profit and loss caused by land use change, and based on nine categories of ESV per unit area, 16 counties (cities, districts) were divided into different ecological functional areas. By quantifying the ecological effect brought by land resource changes, it provides theoretical basis and decision support for the improvement of land ecosystem service value, food security and sustainable management of Qiqihar ecosystem.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Overview, data sources, and methods of the research area</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>Qiqihar city (122-126<sup>&#xb0;</sup> E, 45-48<sup>&#xb0;</sup> N) belongs to Heilongjiang Province, located in the west of Songnen Plain, the intersection of black, Kyrgyzstan and Mongolia provinces. (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). It is a central city in the northwest region of Northeast China and an important marketable grain base and old industrial base in China. Qiqihar has jurisdiction over 1 city, 8 counties, and 7 districts and covers an area of 42,400 km<sup>2</sup>. The city has a temperate continental monsoon climate with four distinctive seasons. Annual precipitation is 400-550&#xa0;mm, and annual evaporation is 500-800&#xa0;mm, which is greater than precipitation. Qiqihar&#x2019;s typical black-soil land accounts for 25.4% of the province and 14.2% of the northeast of China. It bears the major political responsibility of ensuring national food security and protecting black-soil cultivated land. The urbanization rate is 48.73%, and the GDP has reached 120.039 billion yuan by the end of 2020. Ecological and environmental problems caused by human production activities have become increasingly prominent with the acceleration of industrial development and urbanization. The water and soil loss is serious, and land desertification and salinization are intensified in the region. Meanwhile, the multiple values and protection of the Black Soil Granary have been neglected for a long time, and the excessive use of land has caused land degradation and quality decline in Qiqihar.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Location and topography of the study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Data source and processing</title>
<p>Data involved in the work include the following items: (1) Land use classification data of two periods in 2010 and 2020: 1&#xd7;1 km raster data from Resource and Environment Science and Data Center, Chinese Academy of Sciences (<ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/">https://www.resdc.cn/</ext-link>). The unused land was classified into marshland and other lands, considering that marshland was an important part of the wetland system and had higher ecological functions. It was combined with the current situation and research objectives of the research area to make the ESV assessment more accurate. Swamp land was classified as a wetland system and other land includes sandy land, saline-alkali soil land, bare land, bare rock, and stony land. The final classification was cultivated land, woodland, grassland, water area, construction land, other lands, and wetland.(2) Two types of vegetation type data in 2010 and 2020 are as follows: 500 &#xd7; 500&#xa0;m vegetation net primary productivity (NPP) data came from the MODIS data products provided by NASA&#x2019;s website (<ext-link ext-link-type="uri" xlink:href="https://modis.gsfc.nasa.gov">https://modis.gsfc.nasa.gov</ext-link>). It was used in ESV coefficient correction. (3) Meteorological data in 2010 and 2020 are as follows: precipitation data of 1 &#xd7; 1&#xa0;km and potential evapotranspiration data of 1&#xd7; 1&#xa0;km were provided by National Earth System Science Data Center (<ext-link ext-link-type="uri" xlink:href="http://www.geodata.cn">http://www.geodata.cn</ext-link>). (4) Social and economic data in 2010 and 2020 are as follows: Yield of food crop, sowing area of cereal crops, and per capita GDP were obtained from <italic>Qiqihar Statistical Yearbook</italic>, <italic>Qiqihar Statistical Bulletin of National Economic and Social Development</italic>, and the website of the State Statistical Bureau.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Research methods</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Analysis of land use change</title>
<p>The overlay analysis of the land use type figures of the two periods was carried out based on software ArcGIS10.2. The land transfer matrix and land use change rate (<xref ref-type="bibr" rid="B11">Hemmavanh et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B33">Peng et&#xa0;al., 2016</xref>) (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) were used to quantitatively study the changing condition of various types of land resources. This was the basis for studying the change in the land use structure and ecosystem service. The land use transfer matrix is a two-dimensional matrix constructed according to the change of the current situation of land use at different research points in the same region. By analyzing the transfer matrix, we can get the mutual transformation between different classes at the end of the period, including the location and area of the change. And the land use change rate refers to the ratio of the changing area of each land use type and the initial area during the study period of the same research area, reflecting the intensity of the change in the same area.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Analysis methods of land use change.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left"/>
<th valign="middle" align="center">Formula</th>
<th valign="middle" align="center">Connotation</th>
<th valign="middle" align="center">Purpose</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Land Use Transfer Matrix</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x2026;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x2026;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtd>
<mml:mo>[</mml:mo>
<mml:mo>&#x2026;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x2026;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x2026;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>]</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mtext>n</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(1)</td>
<td valign="top" align="left">S is the area of land use type; n is the total number of land use types; S<sub>ij</sub> is the area transferred from land type i to land type j.</td>
<td valign="top" align="left">A comprehensive and specific portrayal of the direction of regional land use change as well as the origin and composition of each land use type at the beginning and end of the study period reflects the direction of land use change guided by human activities.</td>
</tr>
<tr>
<td valign="top" align="left">Land Use Type Annual Rate of Change</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>T</mml:mi>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(2)</td>
<td valign="top" align="left">K is the annual rate of change of a certain land use type in the study area; U<sub>a</sub> and U<sub>b</sub> are the number of a certain land use type at the beginning and end of the study period, respectively; T is the length of the study period.</td>
<td valign="top" align="left">The change of a land use type over a certain time frame.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Ecosystem service value calculation</title>
<p>The ESV of Qiqihar is calculated using the ecosystem service assessment model based on the relevant theoretical achievements of Costanza et&#xa0;al. (<xref ref-type="bibr" rid="B2">Costanza et&#xa0;al., 1997</xref>) and Xie et&#xa0;al. (<xref ref-type="bibr" rid="B47">Xie et&#xa0;al., 2003</xref>). The specific formula is as follows:</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>V</mml:mi>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where: ESV is ecosystem service value (yuan); A<sub>b</sub> is area of bth land use type (ha); VC<sub>b</sub> is ecosystem service value coefficient per unit area (yuan/ha).</p>
<p>Considering the dynamics of ecosystem service equivalent factor and the degree of ecosystem sustainable development, four correction factors, including the economic value of grain yield per unit area, land use type, biomass factor and economic factor correction, were selected to improve the ESV evaluation model, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. That is, on the basis of the original ESV evaluation model, the value equivalent scale (<xref ref-type="bibr" rid="B49">Xie et&#xa0;al., 2008</xref>),was multiplied by the value of each correction factor to obtain the ESV coefficient table per unit area of Qiqihar City (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>ESV assessment model revision.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Correction Factors</th>
<th valign="middle" align="center">Formula</th>
<th valign="middle" align="center">Connotation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Grain Yield Economic Value</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>7</mml:mn>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mi>M</mml:mi>
<mml:mi>H</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(4)</td>
<td valign="top" align="left">G is the economic value per unit equivalent factor (yuan/ha); M is the grain production value (yuan); and H is the sown area (ha).</td>
</tr>
<tr>
<td valign="top" align="left">Land Use Type</td>
<td valign="middle" align="center">&#x2014;&#x2014;</td>
<td valign="top" align="left">According to the actual land use in the study area, forest land corresponds to the forest system in Xie Highland&#x2019;s Chinese terrestrial ecosystem service value equivalent factor table (<xref ref-type="bibr" rid="B31">Niu et&#xa0;al., 2022</xref>), cultivated land corresponds to the farmland system, water corresponds to the river/lake system, marshland corresponds to the wetland system, and other land uses correspond to the desert system. The equivalence factors for construction land in the study area were determined with reference to the research results of Yang Fenghai (<xref ref-type="bibr" rid="B33">Peng et&#xa0;al., 2016</xref>) and others.</td>
</tr>
<tr>
<td valign="top" align="left">Biomass (<xref ref-type="bibr" rid="B4">Eisfelder et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B52">Yang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B29">Naeem et&#xa0;al., 2020</xref>)</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mtext>mean</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(5)</td>
<td valign="top" align="left">B is the biomass factor adjustment factor; NPP&#x2019; is the net primary productivity of vegetation in the study area (t/(ha&#x2022;a)); and NPP<sub>mean</sub> is the national net primary productivity of vegetation.</td>
</tr>
<tr>
<td valign="top" align="left">Economic</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(6)</td>
<td valign="top" align="left">E is the modified value of the economic factor, GDP&#x2019; is the per capita GDP of Qiqihar city (10,000 yuan/person), and GDPmean is the national per capita GDP (10,000 yuan/person).</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>There is no formula for the revision of land use types, only the description of the matching of each land use type with each ecosystem in the table of equivalent factors of ESV in Xie indicated by "-".</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>ESV coefficients per unit area in Qiqihar(Unit: yuan/ha).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="2" align="left">Ecosystem Services</th>
<th valign="middle" colspan="7" align="center">Land Use Type</th>
</tr>
<tr>
<th valign="top" align="left">Type I</th>
<th valign="top" align="center">Type II</th>
<th valign="middle" align="center">Cultivated Land</th>
<th valign="middle" align="center">Woodland</th>
<th valign="middle" align="center">Grassland</th>
<th valign="middle" align="center">Water Area</th>
<th valign="middle" align="center">Construction Land</th>
<th valign="middle" align="center">Other</th>
<th valign="middle" align="center">Wetland</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="2" align="left">Supply</td>
<td valign="middle" align="left">Food production</td>
<td valign="middle" align="center">614.09</td>
<td valign="middle" align="center">202.65</td>
<td valign="middle" align="center">264.06</td>
<td valign="middle" align="center">325.47</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">12.28</td>
<td valign="middle" align="center">221.07</td>
</tr>
<tr>
<td valign="middle" align="left">Raw material production</td>
<td valign="middle" align="center">239.50</td>
<td valign="middle" align="center">1829.98</td>
<td valign="middle" align="center">221.07</td>
<td valign="middle" align="center">214.93</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">24.56</td>
<td valign="middle" align="center">147.38</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">Regulation</td>
<td valign="middle" align="left">Gas regulation</td>
<td valign="middle" align="center">442.14</td>
<td valign="middle" align="center">2652.85</td>
<td valign="middle" align="center">921.13</td>
<td valign="middle" align="center">313.18</td>
<td valign="middle" align="center">-1486.10</td>
<td valign="middle" align="center">36.84</td>
<td valign="middle" align="center">1479.95</td>
</tr>
<tr>
<td valign="middle" align="left">Climate regulation</td>
<td valign="middle" align="center">595.66</td>
<td valign="middle" align="center">2499.33</td>
<td valign="middle" align="center">957.97</td>
<td valign="middle" align="center">1265.02</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">79.83</td>
<td valign="middle" align="center">8320.87</td>
</tr>
<tr>
<td valign="middle" align="left">Hydrological regulation</td>
<td valign="middle" align="center">472.85</td>
<td valign="middle" align="center">2511.61</td>
<td valign="middle" align="center">933.41</td>
<td valign="middle" align="center">11526.40</td>
<td valign="middle" align="center">-736.90</td>
<td valign="middle" align="center">42.99</td>
<td valign="middle" align="center">8253.32</td>
</tr>
<tr>
<td valign="middle" align="left">Waste treatment</td>
<td valign="middle" align="center">853.58</td>
<td valign="middle" align="center">1056.23</td>
<td valign="middle" align="center">810.59</td>
<td valign="middle" align="center">9119.18</td>
<td valign="middle" align="center">-362.31</td>
<td valign="middle" align="center">159.67</td>
<td valign="middle" align="center">8842.85</td>
</tr>
<tr>
<td valign="top" rowspan="2" align="left">Support</td>
<td valign="middle" align="left">Soil conservation</td>
<td valign="middle" align="center">902.71</td>
<td valign="middle" align="center">2468.63</td>
<td valign="middle" align="center">1375.56</td>
<td valign="middle" align="center">251.78</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">104.39</td>
<td valign="middle" align="center">1222.03</td>
</tr>
<tr>
<td valign="middle" align="left">Biodiversity</td>
<td valign="middle" align="center">626.37</td>
<td valign="middle" align="center">2769.53</td>
<td valign="middle" align="center">1148.34</td>
<td valign="middle" align="center">2106.32</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">245.64</td>
<td valign="middle" align="center">2265.98</td>
</tr>
<tr>
<td valign="top" align="left">Cultural</td>
<td valign="middle" align="left">Aesthetic landscape</td>
<td valign="middle" align="center">104.39</td>
<td valign="middle" align="center">1277.30</td>
<td valign="middle" align="center">534.26</td>
<td valign="middle" align="center">2726.54</td>
<td valign="middle" align="center">147.38</td>
<td valign="middle" align="center">147.38</td>
<td valign="middle" align="center">2880.07</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">Total</td>
<td valign="middle" align="center">4851.29</td>
<td valign="middle" align="center">17268.11</td>
<td valign="middle" align="center">7166.39</td>
<td valign="middle" align="center">27848.82</td>
<td valign="middle" align="center">-2437.93</td>
<td valign="middle" align="center">853.58</td>
<td valign="middle" align="center">33633.52</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The coefficient of variation is used to quantitatively calculate the dispersion degree of county ESV on time and space scales. It reflects the dispersion degree and sequential variation of the regional gap and is the ratio of the standard deviation of basic data to the mean value of basic data (<xref ref-type="bibr" rid="B38">Sun et&#xa0;al., 2019</xref>).</p>
<disp-formula>
<label>(7)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mover accent="true">
<mml:mi>K</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mfrac>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>K</mml:mi>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where: V<sub>c</sub> is the coefficient of variation; n is the number of samples; K<sub>i</sub> is the county ESV;`K is the mean of county ESV in two periods. The larger the coefficient of variation V<sub>c</sub>, the more discrete the time series and the greater the interannual fluctuation of ESV; conversely, the more stable the time series and the smaller the interannual fluctuation of ESV.</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Flow analysis model</title>
<p>The flow analysis model is used to analyze ESV, which reflects the effect of land use type conversion on ESV gains and losses. The calculation formula is as follows (<xref ref-type="bibr" rid="B41">Wang et&#xa0;al., 2022</xref>).</p>
<disp-formula>
<label>(8)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>V</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where: PL<sub>ij</sub> is the gain or loss value of ESV after the transfer of land use type i to land use type j (10<sup>8</sup>yuan); VC<sub>i</sub> and VC<sub>j</sub> are the ESV coefficients per unit area of land use type i and j, respectively (10<sup>8</sup>yuan/ha); A<sub>ij</sub> is the area transferred from land use type i to land use type j (ha).</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>2D graph theory clustering method</title>
<p>The 2D graph theory clustering method is to study Birds of a Feather Flock Together in mathematical statistics, which is classified according to the degree of similarity of its properties (<xref ref-type="bibr" rid="B44">Wu et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B31">Niu et&#xa0;al., 2022</xref>). The internal differences and similarities among each zoning unit are considered, while the spatial connectivity between adjacent units and the integrity of the administrative boundaries are ensured by constructing an undirected weighted graph (<xref ref-type="bibr" rid="B14">Kayser et&#xa0;al., 1992</xref>; <xref ref-type="bibr" rid="B26">Lu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B44">Wu et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B56">Zhang et&#xa0;al., 2020</xref>) based on the location relation. The change of ESV driven by land use change is an important quantitative index of ecological effect. The 2D graph theory clustering method based on ecosystem service function utilization can determine the optimal combination of ecological advantages in the best location from the perspective of changing trends in ESV. This can control the direction of land use conversion.</p>
<p>Firstly, 16 counties, urban areas, and districts were determined as zoning units to form a zoning unit set (V). The longitude and latitude of the zoning units were determined by ArcGIS spatial analysis. Then, connect each zoning point and determine the adjacency relation set of each zoning unit by adjacency matrix (E). Secondly, 9 ESVs in the above value equivalent factor table were used as zoning indicators, and the weight of each indicator was determined by the entropy weight method. Each index value was obtained, and the weight matrix was constructed to determine the weight value (D). Next, the undirected connected weighted graph G= (V, E, and D) was formed by considering the spatial connectivity and index similarity between the zoning units. The minimum spanning tree was obtained by the graph theory minimum tree method. The minimum spanning tree was divided into <italic>n</italic> subtrees to obtain a 2D optimal tree cluster and an appropriate threshold value was selected according to the principle of the subtle difference in the region and obvious difference in the interval. The zoning result was finally obtained after proper adjustment according to the actual situation of the region. List the specific calculation formula (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Calculation formulae related to ecological function zoning of land use in Qiqihar.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Content</th>
<th valign="middle" align="center">Formula</th>
<th valign="middle" align="center">Connotation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Weight Determination by Entropy Method</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mtext>Positive&#xa0;indexes:&#xa0;</mml:mtext>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>&#x2003;(9)<break/>
<inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mtext>Negative&#xa0;indicators:&#xa0;</mml:mtext>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
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</tr>
<tr>
<td valign="top" align="left">Calculation of Connected Edge Weights</td>
<td valign="middle" align="left">
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<td valign="top" align="left">Where: D is the weight of the connected edge between partition cells; d<sub>ij</sub> is the Euclidean distance between partition cells; x<sub>ij</sub> and x<sub>jk</sub> are the k-th indicator values of the i-th and j-th partition cells, respectively.k is the number of index values.</td>
</tr>
<tr>
<td valign="top" align="left">Minimum Spanning Tree Kruskal&#x2019;s Algorithm</td>
<td valign="top" colspan="2" align="left">All the connected edges in the connectivity graph are sorted in ascending order of their weights, and then one by one from smallest to largest is judged to be selected or not. If the edge does not form a loop with all previously selected connected edges, it can be part of the minimum spanning tree; otherwise, it is discarded. This is done until n-1 edges are filtered out of the connected graph with n vertices. The filtered edges and all the vertices form the minimum spanning tree of this connected graph.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and analysis</title>
<sec id="s3_1">
<label>3.1</label>
<title>Temporal and spatial changes of land use</title>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>Land use area change</title>
<p>Cultivated land is the main type of land use in Qiqihar and accounts for about 73% of the total area, which is the largest of the seven land use types. The second largest area is the wetland which accounts for about 10% of the total area. The research area mainly includes Zhalong Wetland, Tailai Wetland, and Three wetland Nature Reserves along the River Wetland, Jiangxin Island National Wetland Park, and Fuyulong&#x2019;an Bridge National Wetland Park. Compared with 2010, significant changes in the land use cover of Qiqihar in 2020 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). The most obvious changes are the decreased area of grassland and water and the increased area of cultivated land and wetland.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Present land use map of Qiqihar city from 2010 to 2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g002.tif"/>
</fig>
<p>The area of grassland and water area was sharply reduced, and the grassland was reduced by 1,508 km<sup>2</sup> (41.83%), with an annual change rate of -4.18% in 2020 compared with 2010. The Three Kinds of Grassland, i.e., desertification, salinization, and degradation, accounted for 70% of the total grassland area. The predatory mode of management has caused serious damage to Qiqihar grassland due to the rapid development of grassland animal husbandry. Hence, governance and repair are urgent. Compared with 2010, the water area decreased by 860 km<sup>2</sup>, with a decrease of 48.64% and an annual change rate of -4.86% in 2020. It is the land use type with the largest change rangeability. The decrease in precipitation and increase in evapotranspiration are important reasons for the shrinking of the water area according to the rainfall and evapotranspiration data of Qiqihar City.</p>
<p>The cultivated land increased by 1,105 km<sup>2</sup> with a minimum change rate of only 0.37%. The stability of cultivated land is the basic guarantee of a stable ecosystem and is conducive to maintaining the ecological balance. It also guarantees regional food security. The wetland increases by 1,187 km<sup>2</sup>, with an annual change rate of 3.73%. That of other land types is 0.68%. Other land types are mainly saline-alkali land, which provides backup for the urban development of Qiqihar.</p>
<p>All counties, urban areas, and districts are dominated by cultivated land from the perspective of counties, urban areas, and districts except for the Tiefeng District dominated by wetland. Tiefeng District wetland area accounts for 37.78% of the total district area. The proportion ranks first in the city. The proportion of cultivated land in the main urban area is about 47.49%, and the proportion of that in the whole city is the minimum. The water area and wetland are the most and account for about 22.88% of the total area of the whole city. The total amount and proportion of construction land are the highest in the whole city. Baiquan County has 83.23% cultivated land and 0.39% water area. The proportion of cultivated land ranks first in the city, and the water area is far less than the average of the city. Water factor restricts the development of Baiquan County. The wetland area of Fuyu County accounts for about 19.77% of the total area of the county, ranking first in the city. The woodland in the Nianzishan area ranks first in the whole city and accounts for 16.30%, with a high afforestation level.</p>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>Land use type transfer</title>
<p>The overall land use change in Qiqihar is obvious from 2010 to 2020, and the regions are relatively concentrated from the land use transfer matrix and spatial distribution (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>; <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). The net outflow of grassland is the largest, mainly in the periphery of urban areas. Grassland reclamation contributed the most to the increase of cultivated land area, which is attributed to the rapid increase of population in the region and the continuous improvement of agricultural mechanization. Human activities cause the transfer of grassland to some extent, which should be paid attention to. The net outflow of water area is the second largest, mainly on the left bank of the Nenjiang River Main Stream, of which 583 km<sup>2</sup> is transformed into cultivated land and 536 km<sup>2</sup> into the wetland. A large number of water areas have been transformed into cultivated land, and there are unreasonable human activities such as farm reclamation from lack and aquaculture in the lake, which damages ecological functions.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Land use transfer matrix of Qiqihar from 2010 to 2020 (Unit: km<sup>2</sup>).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">2020<break/>2010</th>
<th valign="middle" colspan="8" align="center">Land Use Transfer Matrix from 2010 to 2020</th>
</tr>
<tr>
<th valign="middle" align="center">Grassland</th>
<th valign="middle" align="center">Cultivated Land</th>
<th valign="middle" align="center">Construction Land</th>
<th valign="middle" align="center">Woodland</th>
<th valign="middle" align="center">Other</th>
<th valign="middle" align="center">Wetland</th>
<th valign="middle" align="center">Water Area</th>
<th valign="middle" align="center">Total</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Grassland</td>
<td valign="middle" align="center">582</td>
<td valign="middle" align="center">1689</td>
<td valign="middle" align="center">75</td>
<td valign="middle" align="center">86</td>
<td valign="middle" align="center">129</td>
<td valign="middle" align="center">967</td>
<td valign="middle" align="center">77</td>
<td valign="middle" align="center">3605</td>
</tr>
<tr>
<td valign="middle" align="left">Cultivated Land</td>
<td valign="middle" align="center">1062</td>
<td valign="middle" align="center">25064</td>
<td valign="middle" align="center">1427</td>
<td valign="middle" align="center">712</td>
<td valign="middle" align="center">97</td>
<td valign="middle" align="center">937</td>
<td valign="middle" align="center">247</td>
<td valign="middle" align="center">29546</td>
</tr>
<tr>
<td valign="middle" align="left">Construction Land</td>
<td valign="middle" align="center">59</td>
<td valign="middle" align="center">1285</td>
<td valign="middle" align="center">330</td>
<td valign="middle" align="center">22</td>
<td valign="middle" align="center">18</td>
<td valign="middle" align="center">51</td>
<td valign="middle" align="center">30</td>
<td valign="middle" align="center">1795</td>
</tr>
<tr>
<td valign="middle" align="left">Woodland</td>
<td valign="middle" align="center">80</td>
<td valign="middle" align="center">753</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">757</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">90</td>
<td valign="middle" align="center">18</td>
<td valign="middle" align="center">1733</td>
</tr>
<tr>
<td valign="middle" align="left">Other</td>
<td valign="middle" align="center">66</td>
<td valign="middle" align="center">117</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">143</td>
<td valign="middle" align="center">68</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">424</td>
</tr>
<tr>
<td valign="middle" align="left">Wetland</td>
<td valign="middle" align="center">123</td>
<td valign="middle" align="center">1160</td>
<td valign="middle" align="center">24</td>
<td valign="middle" align="center">43</td>
<td valign="middle" align="center">26</td>
<td valign="middle" align="center">1718</td>
<td valign="middle" align="center">86</td>
<td valign="middle" align="center">3180</td>
</tr>
<tr>
<td valign="middle" align="left">Water Area</td>
<td valign="middle" align="center">125</td>
<td valign="middle" align="center">583</td>
<td valign="middle" align="center">28</td>
<td valign="middle" align="center">15</td>
<td valign="middle" align="center">39</td>
<td valign="middle" align="center">536</td>
<td valign="middle" align="center">442</td>
<td valign="middle" align="center">1768</td>
</tr>
<tr>
<td valign="middle" align="left">Total</td>
<td valign="middle" align="center">2097</td>
<td valign="middle" align="center">30651</td>
<td valign="middle" align="center">1931</td>
<td valign="middle" align="center">1644</td>
<td valign="middle" align="center">453</td>
<td valign="middle" align="center">4367</td>
<td valign="middle" align="center">908</td>
<td valign="middle" align="center">42051</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Spatial transfer characteristics of land use. The legend is shown from top to bottom, from left to right: Other-Construction Land; Other-Woodland; Other-Water Area; Other-Wetland; Other-Cultivated Land; Other-Grassland; Construction Land-Other; Construction Land-Woodland; Construction Land-Water Area; Construction Land-Wetland; Construction Land-Cultivated Land; Construction Land-Grassland; Woodland-Other; Woodland-Construction Land; Woodland-Water Area; Woodland-Wetland; Woodland-Cultivated Land; Woodland-Grassland; Water Area-Other; Water Area-Construction Land; Water Area-Woodland; Water Area-Wetland; Water Area-Cultivated Land; Water Area-Grassland; Wetland-Other; Wetland-Construction Land;&#xa0;Wetland-Woodland; Wetland-Water Area; Wetland-Cultivated Land; Wetland-Grassland; Cultivated Land-Other; Cultivated Land-Construction Land; Cultivated Land-Woodland; Cultivated Land-Water Area; Cultivated Land-Wetland; Cultivated Land-Grassland; Grassland-Other; Grassland-Construction Land; Grassland-Woodland; Grassland-Water Area; Grassland-Wetland; Grassland-Cultivated Land.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g003.tif"/>
</fig>
<p>Data shows that Qiqihar is located in the wind-sand, drought-prone region of the western Songnen Plain, with an annual average precipitation of about 467 and 224&#xa0;mm in 2010 and 2020, respectively. Annual potential evapotranspiration is about 779 and 805&#xa0;mm, respectively. The water area shrinks and transforms into a marsh wetland due to the decrease of precipitation and increase of evapotranspiration. The net inflow of cultivated land and wetland is the largest. Cultivated land was mainly from grassland, woodland, and wetland, which account for 30.23%, 13.48%, and 20.76% of the transferred area, respectively. However, the wetland is mainly from cultivated land, grassland, and water area, which account for 35.37%, 36.50%, and 20.23% of the transferred area, respectively.</p>
<p>In conclusion, although a large part of the cultivated land in Qiqihar was transformed into construction land in 2020 compared with 2010, the total cultivated land area still maintains an upward trend because the cultivated land is continuously transformed from the wetland, grassland, and other land types. The water area decreases sharply and the wetland area increases due to decreased precipitation and increased evapotranspiration. The construction land area is mainly transformed from cultivated land. The increase in other land is due to the transformation of grassland and cultivated land into land types that are difficult to use. However, it can be used as backup resources for urban development through renovation.</p>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>ESV Analysis of gains and losses</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Total volume and structure</title>
<p>Generally, the proportion of the total value of cultivated land and wetland exceeded 70.0% of the total value of ecosystem services in Qiqihar in 2010 and 2020. The two are the main sources of ESV in Qiqihar. Therefore, they are of great significance to the development of Qiqihar. It also reflects the natural advantage of the Northeast Black Soil Area in this region to some extent.</p>
<p>Compared with 2010, the total value of ecosystem services in Qiqihar increased from 35.127 billion to 35.996 billion yuan in terms of changes. The total value of ecosystem services increased by 869 million yuan, with a change rate of 2.47%, showing relatively slow growth. The ESV of woodland, grassland, water area, and construction land decreased in different degrees, among which the area of water decreased the most, reaching 48.64%, followed by grassland and woodland. The decrease in water area is the most important cause of ESV loss during this period, followed by grassland. The ESV of cultivated land, wetland, and other land increases, and that of wetland increase the most, with a change rate of 37.33% (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The increased area of cultivated land and wetland areas, the main contributors to ESV in Qiqihar, makes up for the loss of the total value of ecosystem services to a certain extent. It determines the total value of ecosystem services and its change trend to a large extent.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Changes of ESV in Qiqihar City from 2010 to 2020. And change rate of ESV of each land use type at the end of the period compared with the beginning.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g004.tif"/>
</fig>
<p>The size relation of individual ESVs in Qiqihar in 2010 and 2020 from the perspective of the composition of ESV is as follows: waste treatment &gt; hydrological regulation &gt; climate regulation &gt; soil conservation &gt; biodiversity &gt; gas regulation &gt; aesthetic landscape &gt; food production &gt; raw material production (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). The top five together account for more than 75% of the total value of ecosystem services in a given year.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Changes in the value of individual ecosystem services from 2010 to 2020.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Ecosystem Services</th>
<th valign="middle" colspan="2" align="center">2010</th>
<th valign="middle" colspan="2" align="center">2020</th>
</tr>
<tr>
<th valign="middle" align="center">Value/10<sup>8</sup>yuan</th>
<th valign="middle" align="center">Proportion/%</th>
<th valign="middle" align="center">Value/10<sup>8</sup>yuan</th>
<th valign="middle" align="center">Proportion/%</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Food production</td>
<td valign="middle" align="center">20.73</td>
<td valign="middle" align="center">5.9</td>
<td valign="middle" align="center">20.98</td>
<td valign="middle" align="center">5.83</td>
</tr>
<tr>
<td valign="middle" align="left">Raw material production</td>
<td valign="middle" align="center">11.9</td>
<td valign="middle" align="center">3.39</td>
<td valign="middle" align="center">11.66</td>
<td valign="middle" align="center">3.24</td>
</tr>
<tr>
<td valign="middle" align="left">Gas regulation</td>
<td valign="middle" align="center">23.59</td>
<td valign="middle" align="center">6.72</td>
<td valign="middle" align="center">23.74</td>
<td valign="middle" align="center">6.6</td>
</tr>
<tr>
<td valign="middle" align="left">Climate regulation</td>
<td valign="middle" align="center">54.12</td>
<td valign="middle" align="center">15.41</td>
<td valign="middle" align="center">61.9</td>
<td valign="middle" align="center">17.2</td>
</tr>
<tr>
<td valign="middle" align="left">Hydrological regulation</td>
<td valign="middle" align="center">67.01</td>
<td valign="middle" align="center">19.08</td>
<td valign="middle" align="center">65.68</td>
<td valign="middle" align="center">18.24</td>
</tr>
<tr>
<td valign="middle" align="left">Waste treatment</td>
<td valign="middle" align="center">73.63</td>
<td valign="middle" align="center">20.96</td>
<td valign="middle" align="center">75.87</td>
<td valign="middle" align="center">21.08</td>
</tr>
<tr>
<td valign="middle" align="left">Soil conservation</td>
<td valign="middle" align="center">40.28</td>
<td valign="middle" align="center">11.47</td>
<td valign="middle" align="center">40.23</td>
<td valign="middle" align="center">11.17</td>
</tr>
<tr>
<td valign="middle" align="left">Biodiversity</td>
<td valign="middle" align="center">38.48</td>
<td valign="middle" align="center">10.94</td>
<td valign="middle" align="center">38.08</td>
<td valign="middle" align="center">10.58</td>
</tr>
<tr>
<td valign="middle" align="left">Aesthetic landscape</td>
<td valign="middle" align="center">21.53</td>
<td valign="middle" align="center">6.13</td>
<td valign="middle" align="center">21.82</td>
<td valign="middle" align="center">6.06</td>
</tr>
<tr>
<td valign="middle" align="left">Total</td>
<td valign="middle" align="center">351.27</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="center">359.96</td>
<td valign="middle" align="center">100</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The value of food production, gas regulation, climate regulation, and waste treatment all increased by 1.21%, 0.63%, 14.38%, and 3.04% in the decade, respectively. A large increase in the area of cultivated land increases the value of land for food production and so on. The increase of wetland areas optimizes the ecological environment, which increases the value of gas regulation, climate regulation, and waste treatment. There has been a reduction in the value of raw material production, hydrological regulation, soil conservation, biodiversity, and aesthetic landscape. It is mainly the result of the reduction of woodland, grassland, and water area as well as the increase of other land and construction land.</p>
<p>Based on the above findings, it is evident that land use changes and ecosystem service value changes in Qiqihar have a very strong correlation during the study time period, and the drivers affecting land use structure changes in Qiqihar indirectly affect the ESV in Qiqihar. Taken together, economic development, population growth, natural environment, and policy factors are important drivers of ESV change (<xref ref-type="bibr" rid="B10">He et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B24">Liu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B51">Yang and Liu, 2022</xref>; <xref ref-type="bibr" rid="B9">Haque et&#xa0;al., 2023</xref>). &#x2460;The economic level and urbanization rate have increased significantly (<xref ref-type="bibr" rid="B18">Li D et&#xa0;al., 2022</xref>), and the demand for construction land in Qiqihar has increased, and the area of ecological land such as woodland, grassland and water area has been shrinking, resulting in an increase in land use intensity and unreasonable utilization structure, which have certain impacts on the ES such as raw material production, hydrological regulation and soil conservation in the ecosystem. &#x2461;Population is an important factor affecting changes in the amount of cultivated land, and the increase in population requires not only more cultivated land to ensure people&#x2019;s food security, but also to expand production and improve living facilities. Human activities are a trigger for the decrease in the area of high service value land use types such as woodland, grassland and water (<xref ref-type="bibr" rid="B20">Li J et&#xa0;al., 2022</xref>), which in turn causes changes in the value of ecosystem services provided by such land use types. &#x2462;Natural environmental factors also have some influence on land use and ESV. And in this area the surface water income exceeds expenditure, precipitation exceeds evaporation. Due to the low-lying terrain, the river water quickly accumulates during the rainy season, coupled with poor drainage, resulting in the formation of a large area of swampy wetlands. These factors have certain effects on food production, gas regulation, climate regulation, waste treatment, and aesthetic landscape. &#x2463;Agricultural policy is also one of the important drivers of change in the value of ecosystem services in Qiqihar (<xref ref-type="bibr" rid="B59">Zhou et&#xa0;al., 2016</xref>). The region responded positively to the national policies and implement a strict cultivated land protection system under the guidance of the government, and increase the effective supply of cultivated land through the balance of cultivated land occupation and the linkage between increase and decrease of construction land.</p>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Spatial pattern of ESV gains and losses</title>
<p>Nehe City has the maximum ecological value, which accounts for 16% of the total value of Qiqihar from ESV changes of counties, urban areas, and districts in Qiqihar in 2010 and 2020 (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). It benefits from 75% of the cultivated land in Nehe and the Nemoer River Wetland Nature Reserve Wetland. The second is Fuyu County, whose ESV accounts for 13% of the total value, thanks to the ESV of Zhalong Wetland. Jianhua District, Longsha District, Nianzishan District, and Fulaerji District provide less ESV due to limited land area. ESV per unit area decreases because of the reduction of cultivated land, woodland, and water area in Jianhua District. Besides, the reduction of woodland, grassland, and wetland in the Nianzishan district and grassland, woodland, and water area in the Fulaerji District also caused the decrease of ESV. However, that of Longsha District improves due to the increased area of cultivated land, woodland, and wetland in Longsha District.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Changes of ESV in counties and districts of Qiqihar from 2010 to 2020. And the coefficient of variation of the degree of ESV change at the end of the reaction period.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g005.tif"/>
</fig>
<p>Fulaerji District has the maximum coefficient of variation, which is as high as 41.73% analyzing the difference of ESV among counties in Qiqihar in 2010 and 2020 (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). ESV has decreased by 547 million yuan over the past decade. The variable coefficients of Jianhua District and Tiefeng district are higher, 11.41% and 13.02%, respectively. ESV decreased by 20 million yuan and increased by 319 million yuan, respectively, during the decade. Kedong County is the area with minimum average annual change and variable coefficient. Meris and Keshan County have the same small change in value.</p>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>ESV flow analysis</title>
<p>Lists the analysis of ESV flow direction under land use change in Qiqihar from 2010 to 2020 (<xref ref-type="table" rid="T7">
<bold>Table&#xa0;7</bold>
</xref>). ESV income mainly comes from the transformation of cultivated land and grassland ecosystem to wetland ecosystem, and water ESV to the wetland from the flow direction of ESV net gains and losses under land use change. It also plays a certain role in the increase of ESV in Qiqihar. The transformation of woodland, water area, and wetland to other types results in ESV losses. The largest loss is the transformation of the wetland to cultivated land, about 3.338 billion yuan. The ESV transfer gains and losses of other lands are flat.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Analysis of ESV flow direction under land use change in Qiqihar from 2010 to 2020 (unit: 10<sup>8</sup>yuan).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left" rowspan="2">2020<break/>2010</th>
<th valign="middle" colspan="8" align="center">ESV Transfer Matrix from 2010 to 2020</th>
</tr>
<tr>
<th valign="middle" align="center">Cultivated Land</th>
<th valign="middle" align="center">Woodland</th>
<th valign="middle" align="center">Grassland</th>
<th valign="middle" align="center">Water Area</th>
<th valign="middle" align="center">Construction Land</th>
<th valign="middle" align="center">Other</th>
<th valign="middle" align="center">Wetland</th>
<th valign="middle" align="center">Profit and Loss</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Cultivated Land</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">8.84</td>
<td valign="middle" align="center">2.46</td>
<td valign="middle" align="center">5.68</td>
<td valign="middle" align="center">-10.4</td>
<td valign="middle" align="center">-0.39</td>
<td valign="middle" align="center">26.98</td>
<td valign="middle" align="center">33.17</td>
</tr>
<tr>
<td valign="top" align="left">Woodland</td>
<td valign="middle" align="center">-9.35</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">-0.81</td>
<td valign="middle" align="center">0.2</td>
<td valign="middle" align="center">-0.68</td>
<td valign="middle" align="center">-0.01</td>
<td valign="middle" align="center">1.47</td>
<td valign="middle" align="center">-9.18</td>
</tr>
<tr>
<td valign="top" align="left">Grassland</td>
<td valign="middle" align="center">-3.91</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">1.59</td>
<td valign="middle" align="center">-0.72</td>
<td valign="middle" align="center">-0.82</td>
<td valign="middle" align="center">25.58</td>
<td valign="middle" align="center">22.59</td>
</tr>
<tr>
<td valign="top" align="left">Water Area</td>
<td valign="middle" align="center">-13.4</td>
<td valign="middle" align="center">-0.16</td>
<td valign="middle" align="center">-2.59</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">-0.85</td>
<td valign="middle" align="center">-1.05</td>
<td valign="middle" align="center">3.11</td>
<td valign="middle" align="center">-14.94</td>
</tr>
<tr>
<td valign="top" align="left">Construction Land</td>
<td valign="middle" align="center">9.37</td>
<td valign="middle" align="center">0.43</td>
<td valign="middle" align="center">0.57</td>
<td valign="middle" align="center">0.91</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">1.85</td>
<td valign="middle" align="center">13.2</td>
</tr>
<tr>
<td valign="top" align="left">Other</td>
<td valign="middle" align="center">0.47</td>
<td valign="middle" align="center">0.14</td>
<td valign="middle" align="center">0.42</td>
<td valign="middle" align="center">0.22</td>
<td valign="middle" align="center">-0.04</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">2.22</td>
<td valign="middle" align="center">3.43</td>
</tr>
<tr>
<td valign="top" align="left">Wetland</td>
<td valign="middle" align="center">-33.38</td>
<td valign="middle" align="center">-0.7</td>
<td valign="middle" align="center">-3.25</td>
<td valign="middle" align="center">-0.49</td>
<td valign="middle" align="center">-0.87</td>
<td valign="middle" align="center">-0.86</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">-39.55</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Transfers of the same type of land use type do not result in ESV losses/gains, i.e., the amount of transfer value between similar land use types is not considered. Indicated by "-".</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Compared with 2010, the Sankey diagram directly shows the transfer direction and flow of changed ESV gains and losses in the research area. A large number of ESVs of cultivated land and grassland transforms into wetland ESV according to the Sankey diagram (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). The ESV income of cultivated land and grassland, as the main income flows of wetland ESV during this period, are 2.698 and 2.558 billion yuan, respectively. A large number of ESVs of wetland, water area, woodland, and grassland were transformed into cultivated land ESVs according to the Sankey diagram (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). The wetland ESV is the main loss flow direction of cultivated land ESV during this period, with a loss of 3.338 billion yuan. Wetland ESV has the maximum net value, which is 2.166 billion yuan according to the ESV gain and loss changes caused by land transformation.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Sankey diagram of ESV revenue flow. The flow direction is from left to right, and the rate of flow is different color height pair.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g006.tif"/>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Sankey diagram of ESV loss flow. The flow direction is from left to right, and the rate of flow is different color height pair.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g007.tif"/>
</fig>
<p>It can be seen that human activities such as urban expansion and reclamation and farming occupy a large amount of water and wetland, leading to the reduction of the ecosystem service value of Qiqihar city. However, the natural conditions such as low-lying land and wet surface make up for the decrease of value brought by human activities.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Ecological function zoning of land use</title>
<p>A zoning scheme of land-use ecological function in Qiqihar was proposed based on the standardized processing of nine ecosystem service function indexes ESV. The 2D graph theory clustering method and the centroid longitude and latitude of the taxonomic unit were used for analysis to provide a reference for guiding the direction of land utilization and development. The 16 county-level administrative districts in Qiqihar produced 15 connecting edges without loops. Three ecological functional zones of land use were obtained using 0.0496 as the threshold value by considering the scale and correlation of each zone in the zoning results. These are ecological wetland conservation areas in central China, point-shaped ecological-function wetland areas with featured agriculture in western China, and agricultural ecological environment construction functional areas in Northeast China (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>).</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Ecological function zoning of land use. The black line segment shows the set of connected edges without circuits in each county (city, district).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-11-1192952-g008.tif"/>
</fig>
<p>Central wetland ecological conservation area, located in the middle of the Nenjiang alluvial plain, mainly includes the main urban area and 7 counties of Fuyu, which accounts for 19% of the total area. The main land use types of the conservation area are cultivated land and wetland. The main ecosystem service functions are waste treatment, hydrological regulation, climate regulation, and aesthetic landscape. The area has wetland that are important in China and even in the world.</p>
<p>Western characteristic agriculture and point-shaped wetland ecological functional area, located in the south of Nenjiang alluvial plain and west of the hilly area, mainly includes Gannan, Longjiang, Tailai County, and Nianzishan district. They account for 35% of the total area. The main land use type is cultivated land and wetland and the main ecosystem service functions are raw material production, soil conservation, and high gas regulation value. The area shoulders the great responsibility of safeguarding the ecological security of Qiqihar on the west bank of the Nenjiang River Basin. Many wetland are distributed in a pointed pattern. The average thickness of the cultivated layer in the typical black-soil area is more than 28&#xa0;cm, but that in the area is only 18&#xa0;cm.</p>
<p>The functional area of agricultural ecological environment construction in Northeast China mainly includes Nehe, Yi&#x2019;an, Keshan, Kedong, and Baiquan County in the northeast of Qiqihar. The area is located on the southern slope of the Lesser Khingan Mountains and accounts for 46% of the total area. The main land use is cultivated land and the main ecosystem service function is food production and soil conservation. Songnen plain black-soil belt is mainly distributed in Nehe, Yi&#x2019;an, Keshan, Kedong, and Baiquan County. The cultivated land is concentrated in contiguous distribution with high natural fertility, which is suitable for the development of agricultural production. Meanwhile, the area is an important agricultural area of Qiqihar with high grain yields and good quality and contributes to the grain production of Qiqihar.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>The work adopted the ESV evaluation model to calculate the ESV of the research area, and a flow analysis model was built to analyze the flow direction and flow of net gain and loss value of ecosystem services. Besides, the 2D graph theory clustering method was used to divide ecological functional areas to provide a reference and basis for ecological construction from the perspective of ESV change trends. However, further exploration is needed in the following aspects.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Policy implications</title>
<p>According to the zoning results, we put forward the management direction for each ecological functional area.</p>
<p>The central wetland ecological conservation zone: surrounding districts and counties together with central Zhalong International Wetland Nature Reserve will improve the functional value of gas regulation, soil conservation, and biodiversity. Meanwhile, it will control the scale of tourism and focus on wetland protection and construction to maintain and improve the health and function of the land ecosystem. We will strictly control urban sprawl as well as reduce damage to the ecological environment caused by human activities and the discharge of waste gas, wastewater, solid waste, and other pollutants.</p>
<p>The western characteristic agriculture and point-shaped wetland ecological functional zone: building a featured agricultural product base, stimulating industrial vitality and farmers&#x2019; participation enthusiasm in the future, maintaining the supply function of the ecosystem, firmly establishing the concept of green development, and promoting the green and efficient technology model of reducing the chemical fertilizers and pesticides. Besides, six black-soil land protection technology models are promoted, including fertile plough layer cultivation, straw mulching, crop rotation, soil turning, and organic fertilizer back to the field, to demonstrate the prevention and control of wind and water erosion, soil consolidation, and fertilization technology of black-soil land. A multi-pointed wetland protection pattern is formed by gathering numerous point-shaped wetland protection areas to improve the functions of climate regulation and hydrological regulation. Finally, multiple cultural sites are used to promote the integration of culture and tourism as well as the aesthetic landscape and other functions.</p>
<p>The northeast agricultural ecological environment construction zone.: Firstly, focus on the protection of cultivated land and strictly prohibit the construction of cultivated land to ensure the productive function of biological production. Then, maintain land resources and improve the organic content of the soil. We will prevent and control agricultural non-point source pollution and actively promote clean agriculture with agricultural production as the core. Besides, the agricultural ecological environment and agricultural yield will be improved. Next, raise public awareness of environmental protection, monitor and control pollution sources, and ease pressure on the soil. Finally, improve soil self-purification and productivity, the construction and protection of farmland ecosystems, and the sustainable use of cultivated land resources.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>The shortcomings of the study</title>
<p>The work adopted the equivalent factor method to evaluate the dynamic process of ESV caused by land use change. The method is of high practical value in ESV assessment based on unit area value. Researchers focused on the ESV changes caused by different biomass and willingness to pay between the different years in the same ecosystems. Besides, they used various coefficients to correct ESV (<xref ref-type="bibr" rid="B36">Shi and Wang, 2008</xref>; <xref ref-type="bibr" rid="B42">Wei et., 2017</xref>; <xref ref-type="bibr" rid="B40">Tang et&#xa0;al., 2019</xref>) to make the research results reflect the actual situation in different regions. The most commonly used correction coefficients are the economic value of grain production per unit area of farmland (<xref ref-type="bibr" rid="B40">Tang et&#xa0;al., 2019</xref>), biomass factor (<xref ref-type="bibr" rid="B50">Yan, 2022</xref>), and per capita GDP (<xref ref-type="bibr" rid="B19">Li X et&#xa0;al., 2015</xref>). The above correction methods mainly use the results of previous studies and cannot reflect the actual situation of the region well. Therefore, the work adopted biomass factor, economic factor, and economic value of grain yield per unit area to make a compound correction to the ESV coefficient. The correction results reflected the actual situation of the research area. However, it was neglected that the ecosystem service changed as the external form and internal structure of the ecosystem changed. The whole research area was taken as the whole to calculate the correction coefficient during revising the biomass and economic factor of the ESV assessment model. The differences in counties, urban areas, districts, and land use types were not fully considered. The positive and negative effects of construction land on ESV are fully considered. However, the total ESV of the study area changes greatly by considering the influence of construction land ESV because various ESVs of construction land are generally negative in many studies (<xref ref-type="bibr" rid="B23">Li B et&#xa0;al., 2015</xref>) or the influence of that is not considered (<xref ref-type="bibr" rid="B1">Cao et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B27">Ma et&#xa0;al., 2021</xref>). There are various calculation methods for ESV, such as cultivated land, woodland, grassland, and wetland. However, the calculation process often involves various factors affecting ESV and it is not easy to separate the direct impact of land type change on value when other conditions are unchanged. Each land type should be uniformly quantified to study the ESV changes caused by land use changes. It also requires a unified ecosystem service evaluation system and accounting under the same method. However, the method ignores the contribution of environmental factors such as land quality and rainfall to ESV change. Therefore, we should comprehensively consider all factors affecting ESV change and extract the contribution of land use change to ESV change. The 2D graph theory clustering method selected by land use ecological function zoning can alleviate the disputes between adjacent administrative units caused by ambiguous land boundaries and local differential management to a certain extent. However, the result of centralized contiguous zoning ignores the differences among individual internal units of the zoning to a certain extent.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Comparison of study results and reasons for the difference</title>
<p>The ESV calculation results of the research area are similar to those of Yang et&#xa0;al. (<xref ref-type="bibr" rid="B52">Yang et&#xa0;al., 2018</xref>) on the ecosystem service value of Qiqihar from 1990 to 2015: The grassland and water area decreased significantly, while the cultivated land, construction land, and unused land increased during research. The ecological service value of grassland, water area, and construction land decreased year by year, while that of cultivated land and unused land increased year by year. However, some of the results are not following the above conclusion. For example, the wetland area increases, and the woodland area decreases. The difference in the results is caused by their different classification criteria and time range of land use. Yang et&#xa0;al. (<xref ref-type="bibr" rid="B52">Yang et&#xa0;al., 2018</xref>). directly identified wetland types through visual interpretation, while the unused land marshland is directly classified as a wetland system in the work. The land use change in the research area is similar to that of Qiqihar from 2010 to 2017 as described by Xie et&#xa0;al. (<xref ref-type="bibr" rid="B46">Xie et&#xa0;al., 2021</xref>). Construction land continues to expand with the advancement of urbanization. Cultivated land occupies the largest proportion and the area ratio of the wetland is second to that of cultivated land. The area of woodland and grassland both decreases. Using Costanza and Xie method to study the change of ESV under land use change, which is consistent with the method chosen by scholars (<xref ref-type="bibr" rid="B12">Hoque et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B6">Gao et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B21">Li Q et&#xa0;al., 2022</xref>). Thus, it is reasonable and reliable to use the method to study such content.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>The deepening of the research content</title>
<p>Land use pattern is an important factor affecting the change of ecosystem service value, which reshapes the flow pattern of the ecosystem service. An in-depth discussion on the relationship between land use change and ESV will impact the coordinated development of the regional ecological economy. Future research will further consider using the grid as a research scale to reflect the change in ecological service value, improve research methods, and refine land use types and the ecological service value coefficient of different land use. Meanwhile, various land use scenarios will be set up with the help of CLUE-S, CA, and other models. It is to scientifically predict the future gains and losses of ecosystem service value under land use change in the research area. Besides, the research on ecological function zoning of land use needs to further explore the following aspects. They are land quality, land use type, soil type, landform, population, and coordination between economic development and resources and environment in combination with the theory of zoning. Then, it can better realize the coordinated development of an ecological land economy and sustainable use of land resources.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusion">
<label>5</label>
<title>Conclusion</title>
<p>Quantitative research on the impact of land use change on ESV is conducive to comprehensively understanding the dynamic change trend of the regional ecological environment. It is also beneficial to optimizing regional land use patterns, maintaining the regional ecological environment, and promoting sustainable land development. The land structure of Qiqihar City changed significantly and the ecological land such as woodland, grassland, and water area decreased rapidly during the research period. The regional ecological environment is in urgent need of protection and repair.</p>
<p>Single ESVs mainly focus on waste treatment and hydrological regulation, which reflects the importance of land and water regulation capacity in water and wetland. The reduced water land area decreases the value of hydrological regulation services. The decreased grassland and woodland area reduces the value of soil conservation and biodiversity protection. It also fails to maintain the service value of raw material production and supply and promote high-quality development of woodlands, grasslands, and water areas. The supply, regulation, culture, and supporting service functions of ecological conservation land will be improved when the existing area is consolidated.</p>
<p>The ESV income of Qiqihar mainly comes from the transformation of cultivated land and grassland ecosystem into wetland ecosystems. The transformation of woodland, water area, and wetland to other lands leads to ESV losses. We should reasonably control the transformation of woodland, water area, and wetland land and pay attention to the quantity control of these lands, such as forest coverage rate and water area rate. Besides, the ecological resource layout and ecological quality should also be considered to improve the quality and stability of the ecosystem. Three ecological functional zones are divided according to single ESVs with local suitability, which provides a reference for ecological planning and design strategies in Qiqihar.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/">https://www.resdc.cn/</ext-link>; <ext-link ext-link-type="uri" xlink:href="https://modis.gsfc.nasa.gov">https://modis.gsfc.nasa.gov</ext-link>; <ext-link ext-link-type="uri" xlink:href="http://www.geodata.cn">http://www.geodata.cn</ext-link>.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>ZZ: conceptualization, writing&#x2014;original draft, and formal analysis. YY: resources and writing&#x2014;review and editing. RW and JL: investigation, methodology and visualization. PZ: supervision, reviewing, and editing. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This research was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (XDA28060302).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We sincerely thank the Resource and Environment Science and Data Center, Chinese Academy of Sciences for providing time series land use data, the NASA&#x2019;s website for providing time series MODIS products, and the National Earth System Science Data Center for providing time series meteorological data, and thank all reviewers who provided detailed and valuable comments or suggestions to improve this manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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