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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1642739</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1642739</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Green space system planning and optimization coupling landscape pattern analysis with spatial models: a case study of Fuzhou, China</article-title>
<alt-title alt-title-type="left-running-head">Chen et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1642739">10.3389/fenvs.2025.1642739</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Jingru</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2677424/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhou</surname>
<given-names>Qingqing</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3092880/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Shengzhen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2828969/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Yabing</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3171995/overview"/>
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<aff id="aff1">
<sup>1</sup>
<institution>College of Arts and Design, Jimei University</institution>, <addr-line>Xiamen</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Environmental Science &#x26; Engineering, Huazhong University of Science and Technology</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>College of Fine Arts, Minjiang University</institution>, <addr-line>Fuzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1686303/overview">Pedzisai Kowe</ext-link>, Midlands State University, Zimbabwe</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1126748/overview">Subhanil Guha</ext-link>, National Institute of Technology Raipur, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3121012/overview">Produce Mukwenyi</ext-link>, Bindura University of Science Education, Zimbabwe</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qingqing Zhou, <email>114576929@qq.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1642739</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Chen, Zhou, Wu and Huang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Chen, Zhou, Wu and Huang</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>The network structure and connectivity of green spaces play a crucial role in ecosystem functionality. However, there are still many challenges in improving the structure of urban green space systems (GSS) through quantitative scientific methods. In particular, there is an obvious lack of how to integrate quantitative landscape pattern analysis with multi-scenario network analysis, which leads to insufficient scientific and operationalization of green space system optimization. This paper aims to present a methodological framework for planning and constructing green networks within urban green space system planning (GSSP), using the GSSP of Fuzhou as a case study. The results of the study show that: (1) 18 GPAs were classified with GPA 4 (2287.66 km<sup>2</sup>) showing the highest connectivity importance (dPC = 88.459); (2) the Min River corridor (GPA 10) and urban coastal wetlands (GPA 17) emerged as strategically vital despite spatial constraints; (3) scenario analysis identified Scenario 1 (&#x03B1; = 0.26, CR = 0.999) as the optimal network configuration. This research establishes a structured GSSP approach that not only addresses urban ecological continuity issues but also provides a replicable model for enhancing biodiversity and ecological health in urban settings, offering insights and implications for achieving sustainable development goals in future regions.</p>
</abstract>
<kwd-group>
<kwd>ecological corridor</kwd>
<kwd>green infrastructure planning</kwd>
<kwd>green network</kwd>
<kwd>minimum resistance</kwd>
<kwd>gravity model</kwd>
<kwd>network analysis</kwd>
</kwd-group>
<counts>
<page-count count="17"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Social-Ecological Urban Systems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>As an integral part of the terrestrial ecosystem, green space plays a crucial role in contributing to human health, urban development, and regional ecology (<xref ref-type="bibr" rid="B16">Hong et al., 2025</xref>; <xref ref-type="bibr" rid="B10">Garcia-Garc&#xed;a et al., 2020</xref>). However, research has shown that human activities have had a significant negative impact on green space ecosystems during urbanization (<xref ref-type="bibr" rid="B11">Ghale et al., 2025</xref>; <xref ref-type="bibr" rid="B15">Hasan et al., 2020</xref>). According to statistics, the built-up area of China increases from 2.24 &#xd7; 104&#xa0;km<sup>2</sup> to 6.37 &#xd7; 104&#xa0;km<sup>2</sup> from 2000 to 2022, with an average annual growth rate of about 4.87%. This means that the previous urban construction model is becoming more and more outdated in China, which is taking the road of sustainable development, and it is urgent to actively explore the optimization of urban green space system (<xref ref-type="bibr" rid="B17">Jiang et al., 2022</xref>). Meanwhile, numerous studies have confirmed the critical role of green space connectivity in maintaining urban biodiversity and ecosystem services. For example, <xref ref-type="bibr" rid="B6">Fenoglio et al. (2020)</xref> showed that habitat fragmentation in urban areas leads to significant biodiversity loss, with insect populations in fragmented green spaces declining by as much as 40%. And <xref ref-type="bibr" rid="B38">Sun et al. (2024)</xref> found that increasing the connectivity and area of green spaces can achieve effective cooling. These further emphasize the importance of improving green space connectivity in building urban ecological patterns and promoting sustainable urban development.</p>
<p>In China, large-scale and rapid urbanization has drastically altered land use, particularly through extensive shrinkage and fragmentation of green space, leading to ecological degradation and environmental challenges (<xref ref-type="bibr" rid="B25">Luo et al., 2020</xref>; <xref ref-type="bibr" rid="B20">Kuang et al., 2020</xref>; <xref ref-type="bibr" rid="B22">Li et al., 2018</xref>). In recent years, China has issued a number of strategic documents, including the Strategy and Action Plan for Biodiversity Conservation and the Measures for Evaluation and Assessment of Ecological Civilization Construction Targets (<xref ref-type="bibr" rid="B48">Zhang et al., 2024</xref>), to actively promote the expansion of urban green space, the construction of ecological networks and the management of species conservation. Green Space System Planning (GSSP), a specialized form of urban planning in China, plays a vital role in protecting green spaces (<xref ref-type="bibr" rid="B27">Ministry of Housing and Urban-Rural Development, 2019</xref>). The focus of GSSP has shifted from primarily addressing urban areas to encompassing the entire city space, moving from secondary importance to a higher-level status that shapes the structure and development of cities. However, research on improving the structure of the city green space system (GSS) through quantitative scientific methods still faces many challenges. Previous studies have focused on green infrastructure and its connectivity at the urban or smaller scale (<xref ref-type="bibr" rid="B49">Zhao et al., 2019</xref>; <xref ref-type="bibr" rid="B5">Davies and Lafortezza, 2017</xref>). Moreover, converting complex assessment and calculation processes into concise and easy-to-understand image data to support planning needs further study.</p>
<p>This study takes the city GSSP of Fuzhou as an example, focusing on the continuity and connectivity of the GSS, addressing the critical challenge of balancing rapid urbanization with ecological conservation in coastal cities. Focusing on the continuity and connectivity of GSS, we develop an integrated framework for ecological network optimization that combines quantitative landscape analysis with spatial modeling. Firstly, green protected area (GPA) delineation based on Conefor connectivity analysis. Secondly, ecological corridors were constructed through ArcGIS minimum cumulative resistance (MCR) model and strategic nodes were identified using gravity model and network analysis. This paper seeks to answer the following questions: (1) What methods are employed in city-level GSSP? (2) Which tools and software packages can support the planning process? (3) How can assessments and calculations be transformed into clear, concise visual representations that support the planning process?</p>
</sec>
<sec id="s2">
<title>2 Study area, materials and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>Fuzhou is located in the eastern part of Fujian Province, China, within the southeastern coastal region (<xref ref-type="fig" rid="F1">Figure 1</xref>). It borders the East China Sea to the east, covering a total area of 11968 square kilometers and a coastline of 1137&#xa0;km. The Min River flows through the city for 150&#xa0;km, with over 30 tributaries. The city&#x2019;s landscape is primarily characterized by mountains and hills, while tidal flats, plains, and basins make up approximately 30% of the total land area. The forest coverage rate in Fuzhou is approximately 45%, and its rich landscape pattern provides a complex and diverse research scenario for GSSP. However, Fuzhou, as a rapidly urbanizing coastal capital city, faces typical problems such as green space fragmentation and impaired ecological connectivity, so it is urgent to optimize its green space system.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location and map of Fuzhou.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g001.tif">
<alt-text content-type="machine-generated">Three-panel map image. The left panel highlights Fujian in southeastern China, labeled in orange. Below, Fuzhou is marked near the coast. The right panel is a detailed map of Fuzhou, featuring districts such as Gulou, Jin&#x27;an, and Cangshan, with the East China Sea labeled to the east.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Materials and methods</title>
<p>Primary data for the analysis were sourced from relevant platforms, including the Geospatial Data Cloud and the Geographical Information Monitoring Cloud Platform (<ext-link ext-link-type="uri" xlink:href="https://www.gscloud.cn/sources/?cdataid=302&#x26;pdataid=10">https://www.gscloud.cn/sources/?cdataid&#x3d;302&#x26;pdataid&#x3d;10</ext-link>, <ext-link ext-link-type="uri" xlink:href="http://www.dsac.cn/DataDownLoad/Search?dataID=301400">http://www.dsac.cn/DataDownLoad/Search?dataID&#x3d;301400</ext-link>). Information related to the Fuzhou Master Plan was provided by the Fuzhou Planning and Design Institute.</p>
<p>The analysis began with GIS preprocessing of the necessary data. Fragstats 4.4 was then employed to conduct a landscape index analysis to assess current land use patterns. Following this, Conefor 2.6 was used to evaluate connectivity and classify ecological protection areas (GPAs). The minimum cumulative resistance model (MCR) was applied to identify ecological corridors, while the gravity model and network analysis methods were utilized to define the first-level corridors. Finally, green strategic nodes were identified through the intersection of the minimum and minimum-maximum resistance corridors, establishing the &#x201c;area-corridor-node&#x201d; structure within the city&#x2019;s GSSP (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Visualization of the research process.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g002.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the process of constructing a green space system structure in Fuzhou city. It begins with collecting basic data, using ArcGIS for data correction, then applying Fragstats for spatial analysis and identifying protection areas with Conefor. The minimum cumulative resistance model is used to build an ecological network, utilizing gravity and scenario network analysis models. Finally, it identifies ecological strategic points to optimize corridors and the green space system.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Obtaining a land use raster map</title>
<p>GIS was used to correct and reclassify Fuzhou&#x2019;s land use status data (provided by the Fuzhou Planning and Design Institute), satellite image data, and the Master Planning. There are a total of five land use categories, including arable land, wood land, grass, waters and construction land. And then data were converted into Tiff files as the base map for the remaining analysis work, and resampling the resolution to 100&#xa0;m, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Fuzhou city land use status map.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g003.tif">
<alt-text content-type="machine-generated">Map of a region near the East China Sea, showing land use types. Arable land is yellow, woodland is dark green, grass is light green, waters are blue, and construction land is red. A compass and scale are included.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4">
<title>2.4 Landscape pattern evaluation method</title>
<p>Landscape pattern index analysis is a critical method in spatial pattern analysis and is considered essential for GSSP (<xref ref-type="bibr" rid="B33">Qiao et al., 2024</xref>). Fragstats, one of the most widely used landscape pattern analysis software packages, operates at three analytical scales&#x2014;patch, class, and landscape&#x2014;and can analyze over 60 landscape indicators (<xref ref-type="bibr" rid="B1">Bhattacharya et al., 2024</xref>). These pattern indices reflect properties such as the type, diversity, complexity, and connectivity of landscape patches. The results from the quantitative analysis of landscape patterns can significantly assist in GSSP. In this study, land use types were categorized into five classes: woodland, grassland, arable land, water, and construction land. Additionally, 11 landscape indices closely related to GSSP were selected for analysis, including class area (CA), percent of landscape (PLAND), and number of patches (NP).</p>
</sec>
<sec id="s2-5">
<title>2.5 Classification method of the GPA</title>
<p>Based on scenic areas, nature reserves, and geologically vulnerable zones identified in the Fuzhou Master Plan, ecological land types such as woodland, grassland, and water areas were re-evaluated to delineate 18 GPAs (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Process diagram of GPA determination in Fuzhou.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g004.tif">
<alt-text content-type="machine-generated">The image consists of three maps depicting land usage and protection areas near the East China Sea. The top left map shows scenic areas, forest parks, nature reserves, and geologically vulnerable areas. The bottom left map illustrates arable land, woodland, grass, water, and construction land. The right map highlights green protection areas, numbered from one to eighteen. Each map includes legends for reference and uses different colors to represent various types of land or protection statuses. Compass roses and scale bars are also present for orientation and distance measurement.</alt-text>
</graphic>
</fig>
<p>Many studies have pointed out that the connection between ecological areas plays a vital role for ecological functions, the maintenance of biodiversity, and ecological vitality (<xref ref-type="bibr" rid="B31">Pietsch, 2018</xref>; <xref ref-type="bibr" rid="B29">Montis et al., 2016</xref>). We used the probability of connectivity metric (<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) to analyze the relationship between GPA and took the importance level (<inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
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</inline-formula>) as the primary basis for the classification of GPA. For detailed information on the <inline-formula id="inf3">
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</inline-formula>, please see <xref ref-type="bibr" rid="B36">Saura et al. (2011)</xref> and <xref ref-type="bibr" rid="B35">Saura and Torn&#xe9; (2009)</xref>. The calculation formulas used were as follows (<xref ref-type="disp-formula" rid="e1">Equations 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>):<disp-formula id="e1">
<mml:math id="m5">
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<mml:mo>&#x3d;</mml:mo>
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<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
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</mml:mrow>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m6">
<mml:mrow>
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<mml:msub>
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<mml:mi>v</mml:mi>
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</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf5">
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<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is a graph-based availability metric that quantifies functional connectivity, 0 &#x2264; PC &#x2264; 1, the larger the <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value is, the higher the connectivity degree of the GPA is; n represents the total number of GPA in the city area; <inline-formula id="inf7">
<mml:math id="m9">
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</inline-formula> is the maximum product of all path probabilities between GPA <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> and GPA <inline-formula id="inf9">
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<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the areas of GPA <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the total area of the city area; <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the change (in %) of the connectivity index after removing one GPA, it represents the importance level of one GPA; <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the overall index value of the remaining GPA after removing a single GPA.</p>
</sec>
<sec id="s2-6">
<title>2.6 Minimum cumulative resistance model</title>
<p>Minimum cumulative resistance model (MCR) is a model for calculating the minimum cumulative resistance from a grid-based map on which estimated dispersal resistances basic on landscape types (<xref ref-type="bibr" rid="B13">Guo et al., 2025</xref>; <xref ref-type="bibr" rid="B37">Sun et al., 2024</xref>). The calculation formula used was as follows (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>):<disp-formula id="e3">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the value of the minimum cumulative resistance; <italic>f</italic> is a positive correlation function between the minimum cumulative resistance and the ecological process; min denotes the minimum value of cumulative resistance produced in different processes of patch <inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> transforming into a different patch <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the spatial distance between patch <inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and patch <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; and <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the resistance value that exists in the ecological transition. The system of the resistance value will have a significant impact on the results of <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The same patch may have different resistance value for different ecological processes.</p>
<p>Land use type was the main factor for the resistance surface of Fuzhou GSSP. Referencing related studies (<xref ref-type="bibr" rid="B7">Fu et al., 2020</xref>) and considering Fuzhou&#x2019;s actual situation, we built the resistance value system, as shown in <xref ref-type="table" rid="T1">Table 1</xref>. According to the resistance value, GIS (Arc Toolbox - Spatial Analyst - Raster Reclass - Reclassify) was used to develop the resistance surface graphics (<xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Resistance values of different land use types in Fuzhou.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Land use type (current land use coding and classification in China)</th>
<th align="left">Resistance value (range is 1&#x2013;1000)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">01 Arable land</td>
<td align="left">50</td>
</tr>
<tr>
<td align="left">02 Orchard land</td>
<td align="left">50</td>
</tr>
<tr>
<td align="left">03 Woodland</td>
<td align="left">15</td>
</tr>
<tr>
<td align="left">04 Grass</td>
<td align="left">30</td>
</tr>
<tr>
<td align="left">Construction land (including 05 commercial land, 06 industrial and mining storage land, 07 residential land, 08 public management domain public service land, 09 special land and 10 transportation land)</td>
<td align="left">1000</td>
</tr>
<tr>
<td align="left">11 Waters</td>
<td align="left">500</td>
</tr>
<tr>
<td align="left">12 Other land (unused land)</td>
<td align="left">600</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Resistance surface of land use in Fuzhou.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g005.tif">
<alt-text content-type="machine-generated">Map showing land use distribution with varying shades representing woodland, grass, arable and orchard land, waters, unused land, and construction land. A legend indicates the color and unit for each category. A north arrow and scale bar are included.</alt-text>
</graphic>
</fig>
<p>Scholars have used the MCR in the field of ecological planning, with some success (<xref ref-type="bibr" rid="B50">Zhu et al., 2020</xref>; <xref ref-type="bibr" rid="B41">Xu et al., 2018</xref>). In the Fuzhou GSSP, MCR was used to construct ecological corridors with minimal resistance and green strategic nodes.</p>
<sec id="s2-6-1">
<title>2.6.1 Ecological corridors with minimal resistance</title>
<p>GIS (Data Management Tools - Features - Feature to Point) was used to turn GPAs into sources, and to execute path generation commands (Spatial Analysis - Distance - Cost distance/Cost path) to build corridors (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Schematic diagram of corridor generation, Fuzhou.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g006.tif">
<alt-text content-type="machine-generated">Map illustrating ecological corridors with marked green patches representing generalized protected areas (GPAs). Black lines show interconnected corridors, numbered one to eighteen. Smaller maps on the left depict the corridor generation process, with sources, destinations, and superimposed pathways. A scale in kilometers and a north arrow are included.</alt-text>
</graphic>
</fig>
<p>The ecological corridors of the GSS are comprehensive corridors used to prevent the problems of green space fragmentation and ecological function degradation caused by urban development. At the same time, these corridors also provide vital landscape passages (or greenways) for regional recreational activities. The corridors of Fuzhou&#x2019;s GSS were based on the minimum resistance between GPAs. The corridors&#x2019; main functions determine its width (<xref ref-type="bibr" rid="B23">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B30">Peng et al., 2017</xref>), as shown in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Function-based ecological corridor width specifications.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="left">Width (m)</th>
<th align="left">Functions and features</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="left">Biological protection</td>
<td align="left">3&#x2013;12</td>
<td align="left">Meet the function of protecting invertebrate populations</td>
</tr>
<tr>
<td align="left">12&#x2013;30</td>
<td align="left">The herbaceous plant diversity is on average more than two times that of the narrow zone; contains most marginal species of herbs and birds, but the diversity is low<break/>meet the needs of bird migration<break/>protect invertebrate populations<break/>protect fish and small mammals</td>
</tr>
<tr>
<td align="left">30&#x2013;60</td>
<td align="left">Contain more herbaceous plants and edge species of birds, but low diversity; meet the functions of animal and plant migration, spread and biodiversity protection<break/>protect fish, small mammals, reptiles and amphibians<break/>meet the needs of wild animals for habitat<break/>intercept more than 50% of the sediment flowing from the surrounding land to the river<break/>control the loss of nitrogen, phosphorus, and nutrients<break/>provide organic debris for fish and provide habitat for fish reproduction</td>
</tr>
<tr>
<td align="left">60&#x2013;100</td>
<td align="left">Herbs and birds with more diversity and internal species; satisfy the functions of animal and plant migration, spread and biodiversity protection<break/>the width of the road buffer to meet the migration and biological protection functions of birds and small organisms<break/>minimum corridor width for the survival of a variety trees</td>
</tr>
<tr>
<td align="left">100&#x2013;200</td>
<td align="left">Better protect birds and maintain biodiversity</td>
</tr>
<tr>
<td align="left">200&#x2013;600</td>
<td align="left">The forest edge effect area is usually 200&#x2013;600&#xa0;m; width of migration of medium and large mammals<break/>enough to create natural and species-rich landscape structures<break/>contain more plants and internal species of birds</td>
</tr>
<tr>
<td rowspan="5" align="left">Environmental protection</td>
<td align="left">5&#x2013;200</td>
<td align="left">Effectively intercept and absorb nutrients such as N and P, and reduce sediment in runoff</td>
</tr>
<tr>
<td align="left">30&#x2013;200</td>
<td align="left">Reduce noise</td>
</tr>
<tr>
<td align="left">10&#x2013;300</td>
<td align="left">Windproof and moisture proof</td>
</tr>
<tr>
<td align="left">100&#x2013;500</td>
<td align="left">Effectively filter pollutants and suspended solids in the atmosphere</td>
</tr>
<tr>
<td align="left">&#x2265;100</td>
<td align="left">Windbreak and sand fixation</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-6-2">
<title>2.6.2 Green strategic nodes</title>
<p>The green strategic nodes of the GSS can be divided into two categories (<xref ref-type="bibr" rid="B46">Yu, et al., 2018</xref>). One is the current node, which is the intersection between the minimal resistance corridors, taking protected measures. The other is the minimum-maximum node, which is in the saddle formed at the tangent part of the equivalent resistance line centered on GPA. It is the minimum-maximum value on the resistance surface, which can be regarded as an area weak in ecological function. Taking a protection patch is the primary measure, and the identification method is as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Recognition methods of the minimum-maximum value nodes.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g007.tif">
<alt-text content-type="machine-generated">Three adjacent diagrams show strategic corridor planning. The first diagram highlights &#x22;G&#x22; nodes and minimal resistance corridors, with gradients indicating low to high resistance. The second focuses on maximum resistance corridors as ridgelines. The third combines the features, adding &#x22;N&#x22; nodes as green strategic points.</alt-text>
</graphic>
</fig>
<p>For the Fuzhou GSSP, we reconstructed a new resistance value that was inversely related to the original resistance value system, and repeated the ecological corridor construction process in GIS. The resulting ecological corridors could be regarded as the maximum corridors of the original resistance surface. The intersection areas of the minimum and the minimum corridors were the green strategic nodes (<xref ref-type="fig" rid="F8">Figure 8</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Diagram presenting the identification of the green strategic nodes for Fuzhou&#x2019;s GSSP.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g008.tif">
<alt-text content-type="machine-generated">Three-part diagram showing landscape resistance and corridor modeling. The first map illustrates resistance surfaces with a legend for land types. The second map shows minimum-maximum corridors on the landscape. The third map displays nodes identified by overlaying minimum and first-level corridors, with highlighted paths and points.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s2-7">
<title>2.7 The gravity model for the selection of first-level corridors</title>
<p>Usually, a gravity model provides an estimate of the volume of flows of, for example, goods, services, or people between two or more locations. In recent years, some scholars have used the model in the field of ecological planning and corrected the formula to better adapt to the actual requirements of the planning (<xref ref-type="bibr" rid="B43">Yang et al., 2017a</xref>). The formula as shown below (<xref ref-type="disp-formula" rid="e4">Equation 4</xref>):<disp-formula id="e4">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>L</mml:mi>
<mml:mi>max</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf25">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the interaction force between GPA a and b, <inline-formula id="inf26">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf27">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the resistance values of GPA a and b, <inline-formula id="inf28">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf29">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the areas of GPA a and b, <inline-formula id="inf30">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the cumulative resistance value of the corridor between GPA a and b, and <inline-formula id="inf31">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum resistance of all the corridors in the study area. <inline-formula id="inf32">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf33">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be calculated by the Spatial Analyst Tools-Distance-Cost Distance command in GIS (<xref ref-type="fig" rid="F9">Figure 9</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Schematic diagram of <inline-formula id="inf34">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g009.tif">
<alt-text content-type="machine-generated">Map showing cumulative resistance values with a key indicating ranges from zero to over five million in different colors. Green dots mark GPA destinations and starting points. On the right, a table displays the resistance cumulative value matrix between various GPA codes.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-8">
<title>2.8 Network analysis</title>
<p>Combining with the <inline-formula id="inf35">
<mml:math id="m39">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf36">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of GPA, we simulated five scenarios of the first-level corridors network, which within all the potential ecological corridors generated (<xref ref-type="fig" rid="F10">Figure 10</xref>). The network analysis method (<xref ref-type="bibr" rid="B4">Dalton et al., 1973</xref>; <xref ref-type="bibr" rid="B14">Haggett and Chorley, 1972</xref>) was introduced to evaluate the five scenarios. Taking the loop index <inline-formula id="inf37">
<mml:math id="m41">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the average connection index <inline-formula id="inf38">
<mml:math id="m42">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the network connection degree <inline-formula id="inf39">
<mml:math id="m43">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the cost ratio index <inline-formula id="inf40">
<mml:math id="m44">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the network relationship between GPA and first-level corridors. We compared the indexes of the scenarios and selected a better one. The indexes calculation formula as follows (<xref ref-type="disp-formula" rid="e5">Equations 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e8">8</xref>):<disp-formula id="e5">
<mml:math id="m45">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>v</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>v</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <inline-formula id="inf41">
<mml:math id="m46">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the loop index, the number of loops present divided by the maximum number of loops possible; <inline-formula id="inf42">
<mml:math id="m47">
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of corridors, and <inline-formula id="inf43">
<mml:math id="m48">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of GPA.<disp-formula id="e6">
<mml:math id="m49">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <inline-formula id="inf44">
<mml:math id="m50">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the average connection index, if <inline-formula id="inf45">
<mml:math id="m51">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3c; 1, there is a dendrogram that occurs; if <inline-formula id="inf46">
<mml:math id="m52">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1, there is a single circuit; and if <inline-formula id="inf47">
<mml:math id="m53">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3e; 1, it means more complex levels of connectivity exist.<disp-formula id="e7">
<mml:math id="m54">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <inline-formula id="inf48">
<mml:math id="m55">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the network connectivity index, the ratio of the number of links in a network to the maximum number of links possible.<disp-formula id="e8">
<mml:math id="m56">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <inline-formula id="inf49">
<mml:math id="m57">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the cost ration and reflects the network&#x2019;s effectiveness, d is the accumulative resistance of the corridors calculated according to resistance value by using ArcGIS.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>The scenario simulations of the first-level corridors network in Fuzhou.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g010.tif">
<alt-text content-type="machine-generated">Tables and maps illustrate network analysis, showing normalized values of \(dPC\) and \(G_{ab}\) with GPA codes. The maps depict various simulation scenarios of interconnected corridors, demonstrating connectivity in a geographic region.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Status quo landscape indexes analysis with class-level metrics</title>
<p>The analysis results of landscape pattern indexes in Fragstats 4.2 are shown in <xref ref-type="table" rid="T3">Table 3</xref>. The woodland, which was the main component of the GPP, had apparent advantages compared with other types of land in terms of CA, CONNECT, AI, PLAND, and TE. The analysis showed the landscape base of Fuzhou city as well. For the GSSP, the main task was to protect the green quantity and maintain a green space structure.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Analysis results of Fuzhou landscape pattern indexes with class-level metrics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Indicator type</th>
<th colspan="5" align="left">Land use type</th>
</tr>
<tr>
<th align="left">Abbreviation</th>
<th align="left">Name</th>
<th align="left">Woodland (main land of GSS)</th>
<th align="left">Grass</th>
<th align="left">Arable and orchard land</th>
<th align="left">Waters</th>
<th align="left">Construction land</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">CA (ha)</td>
<td align="left">Class area</td>
<td align="left">698167.78</td>
<td align="left">157771.81</td>
<td align="left">197571.75</td>
<td align="left">46132.09</td>
<td align="left">60436.55</td>
</tr>
<tr>
<td align="left">PLAND (%)</td>
<td align="left">Percent of landscape</td>
<td align="left">60.17</td>
<td align="left">13.60</td>
<td align="left">17.03</td>
<td align="left">3.98</td>
<td align="left">5.21</td>
</tr>
<tr>
<td align="left">NP</td>
<td align="left">Number of patches</td>
<td align="left">936</td>
<td align="left">3580</td>
<td align="left">2171</td>
<td align="left">527</td>
<td align="left">1516</td>
</tr>
<tr>
<td align="left">TE (km)</td>
<td align="left">Total edge</td>
<td align="left">26657.11</td>
<td align="left">15924.07</td>
<td align="left">17732.74</td>
<td align="left">2479.96</td>
<td align="left">4937.78</td>
</tr>
<tr>
<td align="left">AREA MN (ha)</td>
<td align="left">Mean Patch Area</td>
<td align="left">745.91</td>
<td align="left">44.07</td>
<td align="left">91.01</td>
<td align="left">87.54</td>
<td align="left">39.87</td>
</tr>
<tr>
<td align="left">TCA (ha)</td>
<td align="left">Total core area</td>
<td align="left">698167.78</td>
<td align="left">157771.81</td>
<td align="left">197571.75</td>
<td align="left">46132.09</td>
<td align="left">60436.55</td>
</tr>
<tr>
<td align="left">CPLAND (%)</td>
<td align="left">Core area percent of landscape</td>
<td align="left">60.17</td>
<td align="left">13.60</td>
<td align="left">17.03</td>
<td align="left">3.98</td>
<td align="left">5.21</td>
</tr>
<tr>
<td align="left">NDCA</td>
<td align="left">Number of disjunct core areas</td>
<td align="left">936</td>
<td align="left">3580</td>
<td align="left">2171</td>
<td align="left">527</td>
<td align="left">1516</td>
</tr>
<tr>
<td align="left">CORE MN (ha)</td>
<td align="left">Mean core area per patch</td>
<td align="left">745.91</td>
<td align="left">44.07</td>
<td align="left">91.01</td>
<td align="left">87.54</td>
<td align="left">39.87</td>
</tr>
<tr>
<td align="left">CONNECT</td>
<td align="left">Connectance index</td>
<td align="left">0.35</td>
<td align="left">0.09</td>
<td align="left">0.15</td>
<td align="left">0.32</td>
<td align="left">0.17</td>
</tr>
<tr>
<td align="left">AI (%)</td>
<td align="left">Aggregation Index</td>
<td align="left">91.22</td>
<td align="left">76.79</td>
<td align="left">79.83</td>
<td align="left">85.92</td>
<td align="left">81.57</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Classification of the GPAs</title>
<p>Conefor is a software package that allows quantifying the importance of habitat areas and links for the maintenance or improvement of connectivity. We took the <inline-formula id="inf50">
<mml:math id="m58">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, a significant index of Conefor, to evaluate the critical level of the GPA, setting a distance index of 1000&#xa0;m and corresponding to a probability of 0.5. To facilitate the comparison between GPA, we normalized the results to 100, as shown in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Connectivity level of GPA in Fuzhou City.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<inline-formula id="inf51">
<mml:math id="m59">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf52">
<mml:math id="m60">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (normalized to 100)</th>
<th align="left">Area (km<sup>2</sup>)</th>
<th align="left">GPA code</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">88.459</td>
<td align="left">100.00</td>
<td align="left">2287.66</td>
<td align="left">4</td>
</tr>
<tr>
<td align="left">23.467</td>
<td align="left">26.52</td>
<td align="left">658.75</td>
<td align="left">2</td>
</tr>
<tr>
<td align="left">12.169</td>
<td align="left">13.75</td>
<td align="left">82.40</td>
<td align="left">10</td>
</tr>
<tr>
<td align="left">7.338</td>
<td align="left">8.29</td>
<td align="left">522.93</td>
<td align="left">1</td>
</tr>
<tr>
<td align="left">5.324</td>
<td align="left">6.01</td>
<td align="left">66.28</td>
<td align="left">7</td>
</tr>
<tr>
<td align="left">2.420</td>
<td align="left">2.73</td>
<td align="left">50.48</td>
<td align="left">11</td>
</tr>
<tr>
<td align="left">1.565</td>
<td align="left">1.76</td>
<td align="left">30.49</td>
<td align="left">9</td>
</tr>
<tr>
<td align="left">1.324</td>
<td align="left">1.49</td>
<td align="left">266.36</td>
<td align="left">3</td>
</tr>
<tr>
<td align="left">0.637</td>
<td align="left">0.71</td>
<td align="left">42.54</td>
<td align="left">8</td>
</tr>
<tr>
<td align="left">0.490</td>
<td align="left">0.55</td>
<td align="left">8.07</td>
<td align="left">5</td>
</tr>
<tr>
<td align="left">0.393</td>
<td align="left">0.44</td>
<td align="left">183.56</td>
<td align="left">18</td>
</tr>
<tr>
<td align="left">0.278</td>
<td align="left">0.31</td>
<td align="left">35.74</td>
<td align="left">6</td>
</tr>
<tr>
<td align="left">0.175</td>
<td align="left">0.19</td>
<td align="left">77.30</td>
<td align="left">17</td>
</tr>
<tr>
<td align="left">0.127</td>
<td align="left">0.14</td>
<td align="left">96.15</td>
<td align="left">15</td>
</tr>
<tr>
<td align="left">0.089</td>
<td align="left">0.09</td>
<td align="left">86.92</td>
<td align="left">16</td>
</tr>
<tr>
<td align="left">0.055</td>
<td align="left">0.06</td>
<td align="left">47.19</td>
<td align="left">14</td>
</tr>
<tr>
<td align="left">0.007</td>
<td align="left">0.00</td>
<td align="left">12.90</td>
<td align="left">12</td>
</tr>
<tr>
<td align="left">0.006</td>
<td align="left">0.00</td>
<td align="left">15.84</td>
<td align="left">13</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>GPA code corresponds to <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>According to the <inline-formula id="inf53">
<mml:math id="m61">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf54">
<mml:math id="m62">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> formulas, the area of GPA has a positive relationship with its <inline-formula id="inf55">
<mml:math id="m63">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The results (<xref ref-type="table" rid="T4">Table 4</xref>) showed that for GPA 10, the Min River, although the area was small, but because it crossed the city and <inline-formula id="inf56">
<mml:math id="m64">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> was high. GPA 6, 7, 8, 9, and 11 were located in the urban area and also in the center of the entire city, a smaller area with a high <inline-formula id="inf57">
<mml:math id="m65">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value, which meant an essential position in the overall structure of the GSS.</p>
</sec>
<sec id="s3-3">
<title>3.3 The construction of minimum resistance corridors</title>
<p>As <xref ref-type="fig" rid="F11">Figure 11</xref> shows, mountains surround the north and southwest sides of the Fuzhou urban area, and the minimum resistance corridors between GPAs intersected in these areas, playing an essential role in the connectivity between GPAs and thus representing essential parts of Fuzhou&#x2019;s GSS.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>The minimum resistance corridors of the Fuzhou GSS.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g011.tif">
<alt-text content-type="machine-generated">Map of a region showing ecological corridors connecting numbered locations 1 through 18. Green areas indicate protection zones. Three additional small maps below display varying corridor density levels, with a focus on urban areas. A legend explains the symbols, including generalized sources and ecological corridors.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 First-level ecological corridors and network of GSS</title>
<p>We normalized the gravity model&#x2019;s calculation results to 100,helping to identify the optimal corridors for the first-level corridors (<xref ref-type="table" rid="T5">Table 5</xref>). According to the <inline-formula id="inf58">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values, the gravity of GPA17 and other GPAs were minimal. However, as it was a coastal wetland with a unique landscape and a specific ecological function, we connected it to the first-level corridors. Five scenario networks were simulated for comparison, as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. Although the indexes <inline-formula id="inf59">
<mml:math id="m67">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf60">
<mml:math id="m68">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf61">
<mml:math id="m69">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of scenario 5 were relatively better, we took scenario 1 as the final first-level network after careful consideration of <inline-formula id="inf62">
<mml:math id="m70">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf63">
<mml:math id="m71">
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, as shown in <xref ref-type="fig" rid="F12">Figure 12</xref>.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Calculation results of the gravity model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">GPA code</th>
<th align="left">1</th>
<th align="left">2</th>
<th align="left">3</th>
<th align="left">4</th>
<th align="left">5</th>
<th align="left">6</th>
<th align="left">7</th>
<th align="left">8</th>
<th align="left">9</th>
<th align="left">10</th>
<th align="left">11</th>
<th align="left">12</th>
<th align="left">13</th>
<th align="left">14</th>
<th align="left">15</th>
<th align="left">16</th>
<th align="left">17</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2</td>
<td align="left">10</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">3</td>
<td align="left">4</td>
<td align="left">17</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">4</td>
<td align="left">2</td>
<td align="left">4</td>
<td align="left">2</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">5</td>
<td align="left">2</td>
<td align="left">5</td>
<td align="left">18</td>
<td align="left">2</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">6</td>
<td align="left">2</td>
<td align="left">9</td>
<td align="left">29</td>
<td align="left">2</td>
<td align="left">4</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">7</td>
<td align="left">2</td>
<td align="left">4</td>
<td align="left">13</td>
<td align="left">2</td>
<td align="left">100</td>
<td align="left">28</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">8</td>
<td align="left">2</td>
<td align="left">6</td>
<td align="left">8</td>
<td align="left">3</td>
<td align="left">11</td>
<td align="left">28</td>
<td align="left">17</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">9</td>
<td align="left">1</td>
<td align="left">3</td>
<td align="left">7</td>
<td align="left">2</td>
<td align="left">20</td>
<td align="left">12</td>
<td align="left">100</td>
<td align="left">9</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">10</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">11</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">5</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">2</td>
<td align="left">2</td>
<td align="left">0</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">12</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">3</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">24</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">13</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">3</td>
<td align="left">1</td>
<td align="left">4</td>
<td align="left">3</td>
<td align="left">8</td>
<td align="left">2</td>
<td align="left">8</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">14</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">4</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">6</td>
<td align="left">10</td>
<td align="left">0</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">15</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">2</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">2</td>
<td align="left">0</td>
<td align="left">5</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">16</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">2</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">2</td>
<td align="left">3</td>
<td align="left">0</td>
<td align="left">7</td>
<td align="left">2</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">17</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left"/>
</tr>
<tr>
<td align="left">18</td>
<td align="left">2</td>
<td align="left">4</td>
<td align="left">12</td>
<td align="left">1</td>
<td align="left">14</td>
<td align="left">9</td>
<td align="left">13</td>
<td align="left">4</td>
<td align="left">8</td>
<td align="left">0</td>
<td align="left">1</td>
<td align="left">1</td>
<td align="left">5</td>
<td align="left">1</td>
<td align="left">0</td>
<td align="left">0</td>
<td align="left">0</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Network analysis results and first-level ecological network of Fuzhou GSSP.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g012.tif">
<alt-text content-type="machine-generated">Map and data visualization showing the network of first-level ecological corridors in a region near the East China Sea. The top section includes a table and four smaller maps depicting different scenario simulations with corridor numbers and corresponding metrics such as alpha, beta, lambda, CR, and d. The main map highlights 18 green corridor points and distinguishes between first-level green corridors and general green corridors. A compass and scale bar are included.</alt-text>
</graphic>
</fig>
<p>The ecological corridor between GPA 9 and 11 was the only ecological corridor that spanned the entire urban area. It plays a crucial role in the green connection of the northern and southern urban areas, while also linking urban and suburban areas of Fuzhou. More attention should be paid to protection and construction of this vital corridor.</p>
</sec>
<sec id="s3-5">
<title>3.5 Green strategy nodes of GSS</title>
<p>As shown in <xref ref-type="fig" rid="F13">Figure 13</xref>, the intersection of ecological corridors were the green strategic nodes. It was found that GPA 6, 7, 8, 9, and 11 were located at multiple intersections of ecological corridors, and played an essential role in the connectivity between GPAs. They could be regarded as GPAs of strategic importance.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Current strategy nodes and GPA.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g013.tif">
<alt-text content-type="machine-generated">Two maps compare green corridors in a region. The left map shows current strategy nodes as red circles across various locations linked by green corridors. The right map indicates updated strategy nodes as pink circles and numbered orange markers along the corridors. The maps include a legend identifying current strategy nodes, generalized sources, first-level green corridors, and general green corridors.</alt-text>
</graphic>
</fig>
<p>Since low-resistance woodland occupied a substantial part of Fuzhou City, the number of maximum resistance corridors generated was small, and the area where they intersected with the minimum resistance corridor is the minimum-maximum resistance strategic nodes. As shown in <xref ref-type="fig" rid="F14">Figure 14</xref>, strategic nodes 1 and 2 were located in the urban area and the corridor between GPA 9 and 11, which were of strategic importance.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>The minimum-maximum resistance strategic nodes of Fuzhou city.</p>
</caption>
<graphic xlink:href="fenvs-13-1642739-g014.tif">
<alt-text content-type="machine-generated">Map showing strategic ecological corridors in a region near the East China Sea. The top row illustrates the process: starting with maximum resistance corridors, superimposing minimum resistance corridors, and selecting key intersections as nodes. The bottom map shows first-level green corridors, general corridors, and maximum resistance corridors, with red dots marking strategic nodes. A legend explains the symbols.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>This study aimed to develop an integrated framework for optimizing green space connectivity in Fuzhou&#x2019;s city-level GSSP, with particular focus on addressing ecological fragmentation in coastal urban environments. The analysis demonstrates that combining landscape pattern indices (Fragstats), connectivity metrics (Conefor), and spatial modeling (ArcGIS) effectively identifies strategic conservation areas and corridors. Notably, GPAs with high dPC values function as critical connectivity hubs, while the gravity-model-optimized network (Scenario 1) balances ecological and planning constraints. These findings advance previous green infrastructure studies by quantitatively linking landscape metrics to actionable planning decisions. At the same time, it is particularly important for the planning of green space systems in rapidly urbanizing coastal cities.</p>
<sec id="s4-1">
<title>4.1 The classification of GPAs</title>
<p>This study uses the Conefor connectivity indicator to classify GPAs, which fits the international trend of prioritizing the protection of critical urban green spaces, while targeting the particular challenges of coastal urbanization in Fuzhou. Similar to the research of <xref ref-type="bibr" rid="B40">Verma et al. (2020)</xref>, <xref ref-type="bibr" rid="B19">Kefalas et al. (2019)</xref>, and <xref ref-type="bibr" rid="B41">Xu et al. (2018)</xref>, individual diversities of GPA type and area were identified in Fuzhou. In particular, there was a significant difference between the area around the urban and suburban areas, as well as differences in functions, as also shown by the studies of <xref ref-type="bibr" rid="B9">Garc&#xed;a et al. (2020)</xref>, and <xref ref-type="bibr" rid="B21">Li Collins et al., 2020</xref>. Conefor 2.6, which takes connectivity as the primary standard and characteristic, can quickly identify the importance value of a GPA (<xref ref-type="bibr" rid="B32">Qian et al., 2023</xref>). However, compared to the common single modeling strategy of MSPA and connectivity analysis in traditional GSSP (<xref ref-type="bibr" rid="B42">Xu et al., 2023</xref>), this study proposes the Fragstats- Conefor framework in the source site identification stage. Ecological sources with higher conservation priority are identified through this dual-model extraction framework.</p>
<p>In the analysis process for Fuzhou City, it was found that some GPAs were small in size, but their location in a prominent position resulted in high <inline-formula id="inf64">
<mml:math id="m72">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> values. The recognition effect of Conefor has been confirmed by many studies (<xref ref-type="bibr" rid="B18">Jin et al., 2025</xref>; <xref ref-type="bibr" rid="B26">Luo et al., 2024</xref>), and the simplicity of the required necessary data and the ease of software operation make it a better choice for the city GSSP.</p>
</sec>
<sec id="s4-2">
<title>4.2 Green network analysis</title>
<p>In the process of constructing ecological corridors using the minimum resistance model (<xref ref-type="bibr" rid="B13">Guo et al., 2025</xref>), we found that the assignment of resistance values was somewhat subjective. The range of values used in different studies varied significantly (<xref ref-type="bibr" rid="B7">Fu et al., 2020</xref>), which had a substantial impact on the form of the corridors. Some studies employed a multiplex resistance surface, integrating data such as DEM, land use type, and NDVI (<xref ref-type="bibr" rid="B45">Yang et al., 2024</xref>). For the Fuzhou GSSP, after consulting with experts from relevant planning and management departments, we used land use type as the basis for the resistance surface. By considering the actual conditions, we ensured that the corridor simulations accurately reflected the situation on the ground.</p>
<p>Using the gravity model to quantify the <inline-formula id="inf65">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
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<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> between GPAs, and combining the GPA&#x2019;s <inline-formula id="inf66">
<mml:math id="m74">
<mml:mrow>
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<mml:mi>P</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula>, Fuzhou GSSP constructed the first-level corridors. However, in the construction process, we found that although the gravity model&#x2019;s calculation process was relatively cumbersome, it was consistent with the <inline-formula id="inf67">
<mml:math id="m75">
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</mml:mrow>
</mml:math>
</inline-formula> of GPA, and it could be helpful for the rationality of the first-level corridors selected. However, particular circumstances require special treatment. For example, the water-based GPA 10, Min River, and its <inline-formula id="inf68">
<mml:math id="m76">
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</inline-formula> value was high, but the gravitational value with other GPAs was deficient because its resistance value was high. Moreover, due to its relatively large span, in the process of generating corridors by GIS, the location of the source point after generalization could not be determined accurately. Therefore, although it was a crucial GPA, it did not account for an essential status in ecological corridors construction.</p>
<p>As in the research of <xref ref-type="bibr" rid="B24">Lu et al. (2025)</xref> and <xref ref-type="bibr" rid="B44">Yang et al. (2017b)</xref>, the <inline-formula id="inf69">
<mml:math id="m77">
<mml:mrow>
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</inline-formula> of GPA17 was low, and the gravitational values between it and other GPAs were also minimal. However, it was a coastal wetland, a critical ecological protection area, and an essential ecological park. The connection between this GAP and urban areas was deemed as highly necessary, so it was connected to the first-level corridors.</p>
<p>In terms of network structure, we introduced the loop index <inline-formula id="inf70">
<mml:math id="m78">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
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</inline-formula>, the average connection index <inline-formula id="inf71">
<mml:math id="m79">
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<mml:math id="m80">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the cost ratio index <inline-formula id="inf73">
<mml:math id="m81">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to evaluate the simulated first-level network. Related studies have confirmed that this approach has been effective in optimizing network structure (<xref ref-type="bibr" rid="B45">Yang et al., 2024</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Green strategic nodes</title>
<p>Basing on the previous research (<xref ref-type="bibr" rid="B24">Lu et al., 2025</xref>; <xref ref-type="bibr" rid="B45">Yang et al., 2024</xref>), we identified green strategic nodes of minimum-maximum resistance at the intersections of the minimum and maximum resistance corridors. Unlike the method of identifying the ridgeline of the resistance surface (<xref ref-type="bibr" rid="B8">Fu et al., 2022</xref>), the approach used in the Fuzhou GSSP identified fewer nodes. However, this method was more straightforward and better suited for large-scale ecological planning, such as city-level planning. During the identification process, we found that certain GPAs, such as GPA 6, 7, 8, 9, and 11, played a crucial role in the connectivity of GPAs (<xref ref-type="fig" rid="F13">Figure 13</xref>). These GPAs acted as stepping stones and key building blocks for the green network, effectively linking urban green spaces with suburban green spaces, and can therefore be considered strategic GPAs.</p>
</sec>
<sec id="s4-4">
<title>4.4 Expansion of green space functions</title>
<p>This study focused solely on establishing the ecological structure of the GSS at the city level. However, to fully realize the potential of the green space system, more attention must be paid to its ecological and service functions (<xref ref-type="bibr" rid="B2">Cao et al., 2024</xref>). GSSP needs to integrate multiple functions with the local urban development context to ensure the rationality of the ecological structure and provide further guidance for urban GSSP.</p>
</sec>
<sec id="s4-5">
<title>4.5 Expansion of the use of the planning methods</title>
<p>The methodology adopted in the Fuzhou GSSP quantified relevant planning indicators, making the planning process more scientific and rational. The preliminary results of the green network in Fuzhou GSSP were largely consistent with the actual local conditions, providing functional guidance for future planning. However, in real-world planning projects, specific circumstances must still be considered, and adjustments should be made according to local conditions. As an ecological planning approach, this method can be applied to other planning areas such as Territorial Space Planning (<xref ref-type="bibr" rid="B28">Ministry of Natural Resources, 2025</xref>) and Nature Reserve System Planning, particularly in addressing landscape fragmentation. Secondly, this paper has not considered the needs of biodiversity conservation enough, and the response of different species to different environments varies. Therefore, subsequent studies can combine species distribution modeling and habitat suitability analysis to provide more precise protection for specific species in the region.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>This study demonstrates a robust model for enhancing urban green infrastructure through strategic planning and implementation of the Green Space System Planning (GSSP) in Fuzhou, China. As rapid urbanization has exacerbated green space fragmentation and ecological connectivity degradation in coastal cities, this research addresses the critical gap in integrating quantitative landscape pattern analysis with spatial modeling for city-scale ecological network optimization. By combining Fragstats, Conefor, and ArcGIS-based resistance modeling, key results reveal that (1) 18 GPAs were classified with GPA 4 (2287.66&#xa0;km<sup>2</sup>) showing the highest connectivity importance (dPC &#x3d; 88.459), (2) the Min River corridor (GPA 10) and urban coastal wetlands (GPA 17) emerged as strategically vital despite spatial constraints, and (3) scenario analysis identified Scenario 1 (&#x3b1; &#x3d; 0.26, CR &#x3d; 0.999) as the optimal network configuration. These findings imply that the proposed framework not only resolves Fuzhou&#x2019;s ecological continuity challenges but also offers a transferable methodology for coastal cities grappling with similar urbanization pressures. However, limitations include the subjectivity in resistance value assignment and the exclusion of socioeconomic factors in corridor planning. Future work should incorporate dynamic urban growth projections and multi-stakeholder preferences into the model. Ultimately, this study advances the paradigm of evidence-based ecological planning, demonstrating how scientifically grounded GSSP can reconcile urban development with biodiversity conservation, thereby paving the way for sustainable urban futures.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>JC: Writing &#x2013; review and editing, Writing &#x2013; original draft, Conceptualization, Funding acquisition, Visualization, Methodology. QZ: Visualization, Supervision, Writing &#x2013; review and editing. SW: Writing &#x2013; review and editing, Software, Visualization. YH: Software, Visualization, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. The study was supported by Fujian Provincial Education Department Program of China, grant number: JAS24043.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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