<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3-mathml3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.3" xml:lang="EN">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Built Environ.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Built Environment</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Built Environ.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2297-3362</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1760559</article-id>
<article-id pub-id-type="doi">10.3389/fbuil.2026.1760559</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Contrasting differences of the green space accessibility utility: a study of 30 major cities in China</article-title>
<alt-title alt-title-type="left-running-head">Zhang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fbuil.2026.1760559">10.3389/fbuil.2026.1760559</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Zhang</surname>
<given-names>Yongli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Software" vocab-term-identifier="https://credit.niso.org/contributor-roles/software/">Software</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Xu</surname>
<given-names>Caixia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Liqun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<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/1648365"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Funding acquisition" vocab-term-identifier="https://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal Analysis</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Jiawen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yuxiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Software" vocab-term-identifier="https://credit.niso.org/contributor-roles/software/">Software</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiang</surname>
<given-names>Yutong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Feng</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Tao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Chan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1750833"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing &#x2013; review and editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Funding acquisition" vocab-term-identifier="https://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
</contrib>
</contrib-group>
<aff id="aff1">
<label>1</label>
<institution>Institute of Technology for Carbon Neutrality, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences</institution>, <city>Shenzhen</city>, <country country="CN">China</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Shenzhen University of Advanced Technology</institution>, <city>Shenzhen</city>, <country country="CN">China</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Liqun Sun, <email xlink:href="mailto:lq.sun@siat.ac.cn">lq.sun@siat.ac.cn</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>&#x2020;</label>
<p>These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-12">
<day>12</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>12</volume>
<elocation-id>1760559</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>20</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>01</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Zhang, Xu, Sun, Zhao, Zhang, Xiang, Feng, Zhou and Zhou.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Zhang, Xu, Sun, Zhao, Zhang, Xiang, Feng, Zhou and Zhou</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-12">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Green spaces provision for urban residents is one of the Sustainable Development Goals. However, whether urban residents can readily access green space remains unanswered, both physically and mentally.</p>
</sec>
<sec>
<title>Methods</title>
<p>This paper proposes a new indicator&#x2014;Green Space Accessibility Utility (GSAU) based on three indicators&#x2014;Green Space Accessibility (GSA), Green Space Accessibility Inequality (GSAI), and Travel Aversion Index (TAI), aiming at revealing green space accessibility and inequality for residents of the 30 major Chinese cities based on both physical and mental attributes.</p>
</sec>
<sec>
<title>Results</title>
<p>We found that: (1) GSA of megacities is approximately 1.5 times that of large cities and demonstrates consistent enhancement with increasing walking scale. (2) Although GSA in eastern cities is roughly twice that in western cities, GSAI in the east is about 1.6 times higher than in the west, revealing a distinct inequality paradox, particularly acute within eastern megacities. (3) GSAU in southern cities is about 15% higher than in northern cities, and this regional disparity can be amplified to 30% under seasonal influences, GSAU in northern cities is more susceptible to seasonal fluctuations.</p>
</sec>
<sec>
<title>Discussion</title>
<p>These findings contribute to evaluating the effectiveness of urban green space utilization, informing the development of context-appropriate planning strategies, and promoting sustainable urban development.</p>
</sec>
</abstract>
<kwd-group>
<kwd>15&#xa0;min city</kwd>
<kwd>green space accessibility</kwd>
<kwd>inequality</kwd>
<kwd>spatial differentiation</kwd>
<kwd>utility</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This work was supported by the National Natural Science Foundation of China (42371309) \ (42201322).</funding-statement>
</funding-group>
<counts>
<fig-count count="7"/>
<table-count count="3"/>
<equation-count count="6"/>
<ref-count count="71"/>
<page-count count="14"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Urban Science</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>With the acceleration of urbanization, populations are increasingly concentrating in urban areas. Residents living in cities are inevitably exposed to the urban environment, making human-environment interaction a key topic within the discourse of people-oriented urban planning (<xref ref-type="bibr" rid="B1">Anguluri and Narayanan, 2017</xref>). From a perceptual perspective, urban environmental exposure includes aspects that are sensorially perceptible (such as temperature, humidity, color, and sound) and behaviorally perceptible (such as accessibility and social interaction) (<xref ref-type="bibr" rid="B66">Yang et al., 2025</xref>). From a state perspective, it can be categorized into dynamic exposure (e.g., walking, strolling) and static exposure (e.g., viewing, contemplation) (<xref ref-type="bibr" rid="B34">Ma and Kwan, 2025</xref>). It is noteworthy, however, that the frequency, duration, and intensity of exposure to certain environments&#x2014;particularly negative ones such as air pollution, noise, and extreme heat&#x2014;can cause harm to the physical health (e.g., cardiovascular disease, obesity, brain health) and mental wellbeing (e.g., stress, depression) of individuals, especially vulnerable groups like the elderly, children, and pregnant women (<xref ref-type="bibr" rid="B55">Tu et al., 2026</xref>; <xref ref-type="bibr" rid="B49">Sander et al., 2025</xref>).</p>
<p>Conversely, well-planned urban green space, serving as a critical bridge connecting residents with the natural environment, is widely recognized as a beneficial form of environmental exposure (<xref ref-type="bibr" rid="B42">Pearsall and Eller, 2020</xref>; <xref ref-type="bibr" rid="B11">Eldridge et al., 2024</xref>; <xref ref-type="bibr" rid="B20">Huang et al., 2017</xref>). On the one hand, in terms of sensory perception, in addition to providing aesthetic and landscape value, green spaces can effectively reduce atmospheric particulate concentrations through natural processes such as adsorption, deposition, and dispersion, thereby improving air quality (<xref ref-type="bibr" rid="B41">Park, 2020</xref>). Furthermore, studies have demonstrated that green spaces possess significant noise mitigation capabilities (<xref ref-type="bibr" rid="B14">Feng et al., 2024</xref>). On the other hand, in terms of behavioral perception, well-designed green spaces can provide venues for neighborhood social activities, offering multiple benefits such as reducing loneliness, enhancing social capital and cohesion, and promoting physical exercise (<xref ref-type="bibr" rid="B57">Veras and Saldiva, 2025</xref>). Therefore, green spaces can improve the physical and mental health of individuals exposed to them to varying degrees, offsetting some of the negative effects of other environmental exposures, and consequently becoming ideal destinations for urban residents&#x2019; leisure and recreation. In light of this, the accessibility and availability of urban green space have emerged as a crucial issue in recent years. The World Health Organization (WHO) has established a baseline of 9 square meters of green space <italic>per capita</italic> for assessing the provision of urban green spaces globally (<xref ref-type="bibr" rid="B60">WHO, 2017</xref>). However, the supply of green space in many urban areas falls significantly short of this standard, presenting severe challenges to both the availability and equity of green infrastructure (<xref ref-type="bibr" rid="B39">Olfato-Parojinog et al., 2024</xref>). Within this context, the assessment and optimization of the potential of existing urban green spaces are of critical importance.</p>
<p>Urban green space accessibility (GSA) effectively assesses the potential for residents to utilize urban green spaces (<xref ref-type="bibr" rid="B26">Kabisch et al., 2016</xref>). Most studies focus on measuring GSA at the scale of single cities or communities (<xref ref-type="bibr" rid="B42">Pearsall and Eller, 2020</xref>; <xref ref-type="bibr" rid="B68">Ye et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B2">Badakhshan et al., 2025</xref>; <xref ref-type="bibr" rid="B50">Satake et al., 2025</xref>; <xref ref-type="bibr" rid="B51">Senetra et al., 2018</xref>; <xref ref-type="bibr" rid="B62">Wu et al., 2020</xref>; <xref ref-type="bibr" rid="B13">Fan et al., 2017b</xref>), and a few studies have focused on the GSA measurement of multiple cities (<xref ref-type="bibr" rid="B8">Chen et al., 2024</xref>; <xref ref-type="bibr" rid="B22">Huang et al., 2022</xref>; <xref ref-type="bibr" rid="B12">Fan et al., 2017a</xref>). For instance, <xref ref-type="bibr" rid="B22">Huang et al. (2022)</xref> focused on studying the GSA within a 30&#xa0;min (with a walking distance of 2500&#xa0;m) walk for 366 prefecture-level cities in China, and find that less-developed cities always had more GSA than developed cities during 1990&#x2013;2015. The Huang&#x2019;s work encompassed many cities to summarize GSA&#x2019;s characteristics across different geographical and economic zones, however, it lacks a detailed comparison of GSA differences among major cities in the same period. Simultaneously, it is evident that in fast-paced large cities, urban residents aspire to access urban green spaces within a short time due to limited leisure time (<xref ref-type="bibr" rid="B26">Kabisch et al., 2016</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2022</xref>). The &#x201c;15&#xa0;min city&#x201d; is an urban planning concept aimed at creating an ideal environment where residents can meet their daily needs within a 15&#xa0;min walk or bike ride from their homes, and this entails ensuring that workplaces, shops, schools, healthcare facilities, recreational amenities, and other service facilities are accessible within this radius (<xref ref-type="bibr" rid="B36">Moreno et al., 2021</xref>; <xref ref-type="bibr" rid="B27">Khavarian-Garmsir et al., 2023</xref>). Equitable access to urban green spaces within a shorter walk distance for urban residents has been proved to contribute to the social justice (<xref ref-type="bibr" rid="B61">Wolch et al., 2014</xref>; <xref ref-type="bibr" rid="B25">Jiang et al., 2023</xref>). Meanwhile, the current research on the accessibility of pedestrian green spaces in cities is mainly divided based on the concept of a &#x201c;15&#xa0;min city&#x201d;, and a distance of 300&#x2013;1,000&#xa0;m is taken as a core threshold (<xref ref-type="bibr" rid="B54">Stanners and Bourdeau, 1995</xref>; <xref ref-type="bibr" rid="B16">Handley et al., 2003</xref>; <xref ref-type="bibr" rid="B48">Roo et al., 2011</xref>). Nearly 100 cities around the world have successively carried out the practice of &#x201c;15&#xa0;min cities&#x201d;, especially in Paris, the vision of allowing city residents to walk or cycle within a 15&#xa0;min range has been made into the core strategy for urban greening and emission reduction (<xref ref-type="bibr" rid="B3">B&#xfc;ttner et al., 2024</xref>; <xref ref-type="bibr" rid="B37">Moreno et al., 2024</xref>). Furthermore, the Chinese government has also proposed the concept of a living walking circle with a service radius of 800&#x2013;1,000&#xa0;m and a duration of 15&#xa0;min (<xref ref-type="bibr" rid="B25">Jiang et al., 2023</xref>). Thus, the range of research area in this study focuses on urban residents&#x2019; GSA within a 15&#xa0;min walk scale. The GSA assessment primarily employs the Two-Step Floating Catchment Area (2SFCA) method to evaluate residents&#x2019; potential to use green spaces. This method effectively captures physical accessibility by assessing the spatial interaction between supply and demand, while its assessment of green space equity remains limited (<xref ref-type="bibr" rid="B5">Chen and Jia, 2019</xref>; <xref ref-type="bibr" rid="B58">Wang, 2021</xref>). Existing research indicates that the Gini index is often used to measure the green space accessibility inequality (GSAI) (<xref ref-type="bibr" rid="B46">Ren and Guan, 2022</xref>; <xref ref-type="bibr" rid="B6">Chen B. et al., 2022</xref>; <xref ref-type="bibr" rid="B56">Vale and Lopes, 2023</xref>). However, the Gini index can only measure the geographical inequality of urban GSA and cannot assess the subjective inequality of urban residents&#x2019; willingness to travel (<xref ref-type="bibr" rid="B46">Ren and Guan, 2022</xref>; <xref ref-type="bibr" rid="B28">Larson et al., 2022</xref>). Enjoying time in green spaces, as a non-essential outdoor activity, the resident&#x2019;s travel willingness of that may greatly influenced by the urban outdoor environment (<xref ref-type="bibr" rid="B38">Neuvonen et al., 2007</xref>). If the quality of the urban outdoor environment is good, residents are more willing to engage in recreational activities accessing green spaces, conversely, they may lack interest in heading for (<xref ref-type="bibr" rid="B59">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Li et al., 2025</xref>). Furthermore, temperature, humidity, and air quality are crucial environmental factors that affect urban residents&#x2019; willingness to travel (<xref ref-type="bibr" rid="B10">Dong et al., 2019</xref>; <xref ref-type="bibr" rid="B15">Giannopoulou et al., 2014</xref>). Therefore, it is critical to quantify residents&#x2019; subjective travel willingness using objective environmental data, as well as to integrate GSA and GSAI, in order to comprehensively evaluate Green Space Accessibility Utility (GSAU).</p>
<p>To address the challenges outlined above, this paper employs 1&#xa0;m resolution green space data about 30 major cities in China, the precise residential area locations and household data from the Anjuke website intend to provide a detailed comparison of GSA, GSAI and GSAU among major cities in China. Based on the 15&#xa0;min city concept, and for ease of interpretation, we define green space access in this study using the 5-, 10-, and 15-&#xa0;min walking scales. We also calculate the travel aversion index (TAI) based on three indicators-temperature, humidity, and air quality, using the entropy weight method (EWM) (<xref ref-type="bibr" rid="B17">He et al., 2016</xref>). The TAI is similar to the risk aversion index in the financial investment industry, which reflects the degree to which investors dislike risk. A higher risk aversion index indicates a greater aversion to risk for investors. Similarly, the TAI indicates residents&#x2019; degree of aversion to travel. A higher TAI indicates a greater aversion to access to green space by urban residents (<xref ref-type="bibr" rid="B44">Pratt, 1978</xref>). Furthermore, utility functions are often mentioned alongside the risk aversion index in financial investment industry literature, which are commonly used to objectively select a balanced investment utility portfolio by combining investors&#x2019; subjective risk aversion levels with the objective stock expected value variance in a quantitative manner (<xref ref-type="bibr" rid="B44">Pratt, 1978</xref>). Thus, we combined the subjective aversion to travel in cities with GSA and GSAI forms GSAU. During this process, the mean-variance utility function is commonly used, so we draw on Markowitz&#x2019;s mean-variance utility function to calculate the GSAU in 30 major cities (<xref ref-type="bibr" rid="B35">Markowitz, 1952</xref>). Specifically, we addressed the following three questions. (1) What are the spatial distribution differences in green space accessibility (GSA), green space inequality (GSAI), and green space accessibility utility (GSAU) among 30 major cities in China? (2) At different walking scales, what are the characteristics of GSAU in 30 major cities in China? (3) Will seasonal changes affect the accessibility of green spaces? What extent differences it is?</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Study design and area</title>
<p>A flowchart outlining the entire research design is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. We combined 1&#xa0;m resolution green space data, Anjuke residential area locations, and household data of 2023 to calculate green space accessibility and inequality for 30 major cities in China, including 4 municipalities directly under the central government (Beijing, Shanghai, Tianjin, Chongqing) and 26 provincial capital cities, then we conducted a comparative analysis (<xref ref-type="fig" rid="F2">Figure 2</xref>). Meanwhile, a comprehensive evaluation and comparison of GSAU for the 30 cities were performed. For comparative research, cities were divided into southern and northern cities based on geographical zones, and into eastern, central, northeastern, and western cities based on economic zones, and megacities, metropolises, and large cities based on city size (<xref ref-type="bibr" rid="B18">Hou et al., 2023</xref>). The classification of major cities was shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The flowchart of research design.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating an urban analysis framework combining green space accessibility (GSA), green space accessibility inequality (GSAI), and urban utility (GSAU) using a Gaussian-based two-step floating catchment area and Gini index. Central city graphic is divided by walking distances and zones, showing accessibility and inequality relationships influenced by environmental and population factors.</alt-text>
</graphic>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Study area. Note: The map is created based on the standard map with figure number GS (2024) 0650, and the base map is unaltered. Due to the unavailability of data, Lhasa and Taipei were excluded.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g002.tif">
<alt-text content-type="machine-generated">Map of China showing large cities, metropolises, and megacities using colored markers, overlaid on four zones: western, central, eastern, and northeastern, with a red line indicating the Qinling-Huaihe boundary. Study areas are outlined in red, borders and coastlines are clearly marked, and an inset map highlights Hainan and southern islands.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Classification of major cities.</p>
</caption>
<table>
<thead>
<tr>
<th rowspan="2" align="left">&#x200b;</th>
<th colspan="4" align="center">Economic zones</th>
</tr>
<tr>
<th align="center">Western</th>
<th align="center">Central</th>
<th align="center">Eastern</th>
<th align="center">Northeastern</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Megacities</td>
<td align="center">Chengdu<break/>Chongqing</td>
<td align="left">&#x200b;</td>
<td align="center">Beijing&#x2a;<break/>Tianjin&#x2a;<break/>Shanghai<break/>Guangzhou</td>
<td align="left">&#x200b;</td>
</tr>
<tr>
<td align="center">Metropolises</td>
<td align="center">Xi&#x2019;an&#x2a;<break/>Kunming</td>
<td align="center">Zhengzhou&#x2a;<break/>Wuhan<break/>Changsha</td>
<td align="center">Jinan&#x2a;<break/>Nanjing<break/>Hangzhou</td>
<td align="center">Changchun&#x2a;</td>
</tr>
<tr>
<td align="center">Large cities</td>
<td align="center">Wulumuqi&#x2a;<break/>Xining&#x2a;<break/>Lanzhou&#x2a;<break/>Yichuan&#x2a;<break/>Huhehaote&#x2a;<break/>Guiyang<break/>Nanning</td>
<td align="center">Hefei<break/>Nanchang<break/>Taiyuan&#x2a;</td>
<td align="center">Shijiazhuang&#x2a;<break/>Fuzhou<break/>Haikou</td>
<td align="center">Shenyang&#x2a;<break/>Haerbin&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Those marked with &#x201c;&#x2a;&#x201d; belong to the northern cities, while the rest are southern cities.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Assessment of urban green space accessibility (GSA)</title>
<p>This study examined the urban green space accessibility by the Gaussian-based 2SFCA method. For each green space <italic>j</italic>, all population locations <italic>k</italic> within the threshold travel distance <italic>d</italic>
<sub>
<italic>0</italic>
</sub> starting from <italic>j</italic> are identified to calculate the catchment area of green space <italic>j</italic>. The population at <italic>k</italic> is weighted using a Gaussian function <italic>G</italic>, which characterizes friction-of-distance as follows <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>d</italic>
<sub>
<italic>kj</italic>
</sub> is the travel distance from the population at <italic>k</italic> to the green space <italic>j</italic>. The weighted population within the catchment of <italic>j</italic> is summed up as potential users of green space <italic>j</italic>. The ratio of green space to populations <italic>R</italic>
<sub>
<italic>j</italic>
</sub> is expressed as follows <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>P</italic>
<sub>
<italic>k</italic>
</sub> is the population at location <italic>k</italic> whose centroid lies in the catchment (<italic>d</italic>
<sub>
<italic>kj</italic>
</sub> <italic>&#x2264; d</italic>
<sub>
<italic>0</italic>
</sub>) from green space <italic>j</italic>; <italic>S</italic>
<sub>
<italic>j</italic>
</sub> is the capacity of green space at <italic>j</italic>. The value of <italic>R</italic>
<sub>
<italic>j</italic>
</sub> represents the <italic>per capita</italic> green area that the potential users of green space <italic>j</italic> can obtain.</p>
<p>Step 2. For each population location <italic>i</italic>, search all green spaces <italic>l</italic> within the threshold travel distance d<sub>0</sub> from <italic>i</italic>, thus establishing the catchment for the population at <italic>i. R</italic>
<sub>
<italic>l</italic>
</sub> is weighted using a Gaussian function <italic>G.</italic> Sum up weighted <italic>R</italic>
<sub>
<italic>l</italic>
</sub> within the catchment area of green spaces <italic>i</italic> to obtain the spatial accessibility at population location <italic>i</italic> as follows <xref ref-type="disp-formula" rid="e3">Equation 3</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<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>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi>G</mml:mi>
<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>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>l</italic> denotes all green spaces within the catchment of population location <italic>i</italic>. <italic>A</italic>
<sub>
<italic>i</italic>
</sub> is the accessibility score, which represents the amounts of green spaces every nearby resident can access. <italic>A</italic> larger <italic>R</italic>
<sub>
<italic>j</italic>
</sub> value denotes that each potential resident can access more green space.</p>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Measurement of green space accessibility inequality (GSAI)</title>
<p>The <italic>Gini</italic> index is a widely used measure of inequality, defined as the ratio of the area between the Lorenz curve and the line of perfect equality to the total area under the line of ideal equality (<xref ref-type="bibr" rid="B45">Raileanu and Stoffel, 2004</xref>). The <italic>Gini</italic> index is calculated as follows <xref ref-type="disp-formula" rid="e4">Equation 4</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<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:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>sumGSA</italic>
<sub>
<italic>i</italic>
</sub> represents the cumulative percentage of the total accessibility of each district <italic>i</italic> within the city, sorted by rank; <italic>sumP</italic>
<sub>
<italic>i</italic>
</sub> represents the corresponding cumulative percentage of the total population in each district <italic>i</italic> within the city. In this article, GSAI is represented by the <italic>Gini</italic> index, and the <italic>Gini</italic> index ranges between 0 and 1.</p>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Measurement of green space accessibility utility (GSAU)</title>
<p>The mean-variance utility function provides a basis for quantifying decision-making under risk and uncertainty (<xref ref-type="bibr" rid="B35">Markowitz, 1952</xref>; <xref ref-type="bibr" rid="B70">Zakamouline and Koekebakker, 2009</xref>). This article combined accessibility, inequality, and TAI using the mean-variance utility function to quantify the GSAU of 30 major cities. Firstly, the ideal urban GSAU is calculated by assuming that the travel level of residents in all cities is in an ideal state. Secondly, the TAI is obtained by weighting urban temperature, humidity, and air quality data using the entropy weight method, which is a common weighting method. The entropy weight method ensures the objectivity of the weights (<xref ref-type="bibr" rid="B9">Delgado and Romero, 2016</xref>). When TAI is equal to 1, it indicates an ideal GSAU. The annual TAI is calculated by weighting the annual temperature, humidity, and air quality data from January to December, thereby determining the annual GSAU. Similarly, the winter GSAU is calculated by weighting the temperature, humidity, and air quality data from December, January, and February. The summer GSAU is calculated by weighting the temperature, humidity, and air quality data from June, July, and August. The formula is as follows <xref ref-type="disp-formula" rid="e5">Equations 5</xref>, <xref ref-type="disp-formula" rid="e6">6</xref>:<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>U</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>Q</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Where the <italic>GSAU</italic> represents the utility of urban green spaces, indicating the extent to which residents utilize these spaces. <italic>GSA</italic> means urban green space accessibility, representing the degree of difficulty the residents go to specified spaces under different conditions. <italic>TAI</italic> refers to the Travel Aversion Index, which measures the level of discomfort during the travel process. <italic>GSAI</italic> indicates the inequality in green space accessibility, highlighting disparities among different groups or areas in accessing urban green spaces. <italic>TSI</italic> and <italic>HSI</italic> represent the temperature and humidity indices, respectively, used to describe environmental warmth and moisture levels, the index is represented by the absolute value of the difference between the average temperature (humidity) within a specific time range and the most suitable travel temperature (humidity). Here, based on previous studies, the ideal travel temperature is defined as 20&#xa0;&#xb0;C and the ideal humidity as 0.5 (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>). <italic>AQI</italic> stands for the air quality index, assessing levels of air pollution. Symbols <inline-formula id="inf1">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf2">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf3">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent weighting coefficients for temperature, humidity, and air quality, respectively, adjusting their importance in comprehensive evaluations. The values of <inline-formula id="inf4">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf5">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf6">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are calculated using the entropy weight method, which yields 0.31, 0.29, and 0.40, respectively.</p>
</sec>
<sec id="s2-5">
<label>2.5</label>
<title>Data resource</title>
<p>As shown in <xref ref-type="table" rid="T2">Table 2</xref>, the data used in this study are collected from the following sources: the map of China originates from the National Standard Map Service System of the Ministry of Natural Resources. Residential community addresses and household data within urban areas are sourced from the Anjuke website (<ext-link ext-link-type="uri" xlink:href="https://www.anjuke.com">https://www.anjuke.com</ext-link>). Urban green space data is obtained from the UGS-1m dataset (<xref ref-type="bibr" rid="B52">Shi et al., 2022</xref>), and green spaces are primarily classified into parks, green buffers, square green spaces, attached green spaces, and other green spaces, all of which are located within global urban boundaries. Temperature and humidity data are sourced from the China Meteorological Administration&#x2019;s National Meteorological Science Data Center (<ext-link ext-link-type="uri" xlink:href="https://data.cma.cn/">https://data.cma.cn/</ext-link>). Air quality data is derived from the monthly report on urban air quality conditions by the Ministry of Ecology and Environment of the People&#x2019;s Republic of China (<ext-link ext-link-type="uri" xlink:href="https://www.mee.gov.cn/">https://www.mee.gov.cn/</ext-link>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Information on datasets used in this study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Category</th>
<th align="center">Indicator</th>
<th align="center">Unit</th>
<th align="center">Dataset</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Residential data</td>
<td align="center">Community addresses<break/>Per capita GDP</td>
<td align="center">&#x2014;<break/>CNY <italic>per capita</italic>
</td>
<td align="center">Anjuke website (<ext-link ext-link-type="uri" xlink:href="https://www.anjuke.com">https://www.anjuke.com</ext-link>)<break/>China statistical yearbook (<ext-link ext-link-type="uri" xlink:href="https://www.stats.gov.cn/">https://www.stats.gov.cn/</ext-link>)</td>
</tr>
<tr>
<td align="center">Green space data</td>
<td align="center">Green land cover<break/>Proportion</td>
<td align="center">Raster data (1&#xa0;m)</td>
<td align="center">UGS-1m (<xref ref-type="bibr" rid="B52">Shi et al., 2022</xref>)</td>
</tr>
<tr>
<td align="center">Meteorological data</td>
<td align="center">Ambient temperature<break/>Relative humidity</td>
<td align="center">&#xb0;C<break/>%</td>
<td align="center">The China meteorological Administration&#x2019;s national meteorological science data center (<ext-link ext-link-type="uri" xlink:href="https://data.cma.cn/">https://data.cma.cn/</ext-link>)</td>
</tr>
<tr>
<td align="center">Air quality data</td>
<td align="center">Air quality index (AQI)</td>
<td align="center">&#x2014;</td>
<td align="center">The ministry of ecology and environment of the People&#x2019;s republic of China (<ext-link ext-link-type="uri" xlink:href="https://www.mee.gov.cn/">https://www.mee.gov.cn/</ext-link>)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>According to the &#x201c;Urban Residential Area Planning and Design Code&#x201d; (GB, 50180&#x2013;93) issued by the Chinese government, the average family size is defined as 3.2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="results" id="s3">
<label>3</label>
<title>Results</title>
<sec id="s3-1">
<label>3.1</label>
<title>The comparation of GSA in major cities in China</title>
<p>We leveraged fine-resolution global green space and population of residential areas in 2023 to compare GSA in the 30 major cities, within 5-, 10-, and 15-&#xa0;min walking scales (<xref ref-type="fig" rid="F3">Figures 3a&#x2013;c</xref>). We observe the number of cities with a GSA above 30m<sup>2</sup>/person gradually increases from different walking scales, and cities with relative high GSA (above 30m<sup>2</sup>/person) are primarily located in the eastern region.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Distribution of GSA in 30 major cities in China. <bold>(a&#x2013;c)</bold> GSA at 5-, 10-, and 15-&#xa0;min walking scales, respectively, where darker and lighter shades of green represent higher and lower levels of GSA; <bold>(d)</bold> Differences in GSA by geographic zones at 5-, 10-, and 15-&#xa0;min walking scales; <bold>(e)</bold> Differences in GSA by economic zones; <bold>(f)</bold> Differences in GSA by city size.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g003.tif">
<alt-text content-type="machine-generated">Composite figure showing three maps of China labeled a, b, and c with colored regions representing economic zones and green circles of varying size indicating GSA per person in large cities, megapolis, and megacities at different travel times. Inset magnifies a dense area. Three boxplots labeled d, e, and f depict GSA per person across northern versus southern regions, four economic zones, and three city types, respectively, with bars for five, ten, and fifteen-minute access. A black line marks the North-South divide. Legends explain color, city size, and scale.</alt-text>
</graphic>
</fig>
<p>At the level of different geographical regions (<xref ref-type="fig" rid="F3">Figure 3d</xref>), we find that the GSA in southern cities is slightly higher than the GSA in northern cities within different walking scales. As the walking scale increases, the mean GSA in southern cities gradually rises to approximately 0.12, whereas in northern cities, it shows a marked increase from 0.08 to 0.28. This trend suggests that the potential for residents to access urban green space is more stable in southern cities than in northern ones across the 5-, 10-, and 15-&#xa0;min walking scales. Meanwhile, the cities in various economic zones show obvious differences of GSA (<xref ref-type="fig" rid="F3">Figure 3e</xref>), especially the cities between the eastern and western zones. The mean GSA of eastern cities is approximately twice than that of western cities at different walk levels. From 5- to 10- and 10- to 15-&#xa0;min walk scales, the GSA in eastern cities shows a steady growth ratio (10%, 11%) with the expansion of pedestrian distance, and the GSA in western cities shows a turbulent growth ratio (4%, 25%). This implies that residents of cities in the western region have a lower potential for utilizing green spaces within shorter walking distances, the GSA at the 5- and 10-&#xa0;min walk scales in the western zone needs to be enhanced. In terms of city size (<xref ref-type="fig" rid="F3">Figure 3f</xref>), there are two special differences of GSA among the major cities. On the one hand, the GSA of megacities is approximately 1.5 times that of large cities. On the other hand, the mean GSA of megalopolis cities increased smoothly from 17.68 to 18.16 and finally to 20.25, but the mean GSA of megacities and large cities grew dramatically. As mentioned above, it can be deduced that megacities in the eastern region possess higher GSA, which consistently improves with the growth of walking distances. For example, major megacities in the eastern zone, such as Guangzhou, Shanghai, and Beijing, rank in the top three in GSA among the 30 major cities. This pattern may be attributed to more substantial funding for urban green space construction in economically developed cities. To test this hypothesis, we examined the correlation between GSA at different walking scales and <italic>per capita</italic> GDP of cities. The results reveal a statistically significant positive correlation at the 5- and 10-&#xa0;min walking scales, with correlation coefficients of 0.511 (p &#x3c; 0.01) and 0.443 (p &#x3c; 0.05), respectively (<xref ref-type="table" rid="T3">Table 3</xref>). This indicates that a city&#x2019;s economic development level is, to some extent, a positive predictor of its residents&#x2019; GSA.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Analysis of the correlation between <italic>per capita</italic> GDP and urban GSA.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Correlation factor</th>
<th align="left">GSA-5min</th>
<th align="left">GSA-10min</th>
<th align="left">GSA-15min</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Correlation coefficient</td>
<td align="left">0.511</td>
<td align="left">0.443</td>
<td align="left">0.336</td>
</tr>
<tr>
<td align="center">p-value</td>
<td align="left">0.004&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.014&#x2a;&#x2a;</td>
<td align="left">0.070&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a; means p &#x3c; 0.1, &#x2a;&#x2a; means p &#x3c; 0.05, &#x2a;&#x2a;&#x2a; means p &#x3c; 0.01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>The comparation of GSAI in major cities in China</title>
<p>Our analysis of the Gini index reveals that pronounced GSAI is characterized by its concentration in the eastern zone. Among the 30 major Chinese cities, only a few exhibit a high Gini index (&#x3e;0.4) at the 5-, 10-, and 15-&#xa0;min walking scales (<xref ref-type="fig" rid="F4">Figures 4a&#x2013;c</xref>). The cities with the highest inequality&#x2014;Shanghai, Tianjin, and Beijing at the 5-min scale, and Shanghai, Tianjin, Guangzhou, or Tianjin, Shanghai, Guangzhou at the longer scales&#x2014;are all eastern megacities. This consistent pattern strongly indicates a systematically higher level of green space inequality within the eastern region.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Distribution characteristics of GSAI in 30 major cities in China. <bold>(a&#x2013;c)</bold> GSAI at 5-, 10-, and 15-&#xa0;min walking scales, respectively, where darker and lighter shades of green represent higher and lower levels of GSAI; <bold>(d)</bold> Differences of GSAI by geographic zones at 5-, 10-, and 15-&#xa0;min walking scales; <bold>(e)</bold> Differences in GSAI by economic zones; <bold>(f)</bold> Differences in GSAI by city size.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g004.tif">
<alt-text content-type="machine-generated">Multi-panel figure displays three maps of China (a, b, c) highlighting cities colored by Gini index and sized by city population, divided into economic zones, alongside three boxplots (d, e, f) illustrating Gini index distribution by region, economic zone, and city size, with color-coded bars representing different travel times and means, including keys for economic zones, city size, and Gini index ranges.</alt-text>
</graphic>
</fig>
<p>We further explore the disparities in urban green space equality from three perspectives: geographical zone, economic zone, and city size. There is no significant difference in the mean Gini index between cities in the northern and southern zones. The Gini index in southern cities gradually increases keeping the growth rate steadily improving (8%, 12%) with the expansion of the walk distance (<xref ref-type="fig" rid="F4">Figure 4d</xref>), and the northern cities have no growth trend. This implies that the GSAI in southern cities increases with the expansion of walking distance. From the perspective of economic zones (<xref ref-type="fig" rid="F4">Figure 4e</xref>), the mean Gini index is highest in eastern cities (mean: 0.38), lowest in western cities (mean: 0.23), and intermediate in central (mean: 0.28) and northern (mean: 0.31) cities within three different walk distance. The Gini index of cities in the eastern region is approximately 1.6 times that of the western region. Nearly half of the cities in the eastern zone have a Gini index exceeding 0.4, while all cities in the western zone have a Gini index below 0.4. This indicates higher GSAI in the eastern zone and highlights the urgent need for green space planning for health and wellbeing in eastern cities of China. Based on city size, the GSAI is highest in megacities (mean: 0.41), followed by metropolis (mean: 0.30), and lowest in large cities (mean: 0.25). The Gini index of megacities is about 1.6 times that of large cities, indicating severe inequality within eastern megacities. This disparity may be attributed to the high population concentration in central urban areas of megacities and significant intra-city zonal population variations, which adversely affect the equality of green space access. To explore this further, a hotspot analysis was conducted for the four high-Gini cities. The results (<xref ref-type="fig" rid="F5">Figure 5</xref>) reveal that high-population-density areas in these megacities consistently coincide with cold spots of GSA, suggesting that population density is a key factor influencing intra-city GSAI.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Analysis of accessibility hot spots and cold spots in megacities of the eastern region.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g005.tif">
<alt-text content-type="machine-generated">Comparison map graphic displaying spatial clustering of hot spots and cold spots in Beijing, Tianjin, Shanghai, and Guangzhou. Blue shades represent statistically significant cold spots, green shades depict significant hot spots, and grey indicates areas not significant. Red lines outline core populated areas, with a labeled legend and black-and-white scale bar showing distances in kilometers.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>The heterogeneity analysis of GSAU in major cities in China</title>
<p>We analyzed the differences in GSAU under ideal, annual, summer, and winter scenarios across different walking scales in major Chinese cities (<xref ref-type="fig" rid="F6">Figure 6</xref>). The number of cities with a GSAU above 0.6 showed little variation across the three walking scales. However, significant disparities were observed among the ideal, annual, summer, and winter GSAU values within the same city. For a detailed comparison, we focused on the 15&#xa0;min walking scale. At this level, the number of cities with an ideal GSAU above 0.6 is greater than those under annual, summer, or winter scenarios, and the number of cities with an ideal GSAU exceeding 0.6 is approximately 1.5 times that of cities with annual GSAU. Moreover, the quantity of cities with summer GSAU above 0.6 is roughly 1.7 times that of cities in winter. That indicates that outdoor environmental quality significantly influences the GSAU, emphasizing the necessity of considering the impact of outdoor environmental quality on residents&#x2019; travel, and also showing the impact of season differences on easy access to green spaces.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Distribution characteristics of GSAU in 30 major cities in China at 5-, 10-, and 15-min walking scales, where darker and lighter shades of green represent higher and lower levels of GSAI. <bold>(a&#x2013;c)</bold> Ideal GSAU; <bold>(d&#x2013;f)</bold> Annual GSAU; <bold>(g&#x2013;i)</bold> Summer GSAU; <bold>(j&#x2013;l)</bold> Winter GSAU.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g006.tif">
<alt-text content-type="machine-generated">Composite figure of twelve thematic maps of China comparing GSAU values (shaded circles) across city sizes and economic zones for ideal, annual, summer, and winter conditions at five, ten, and fifteen-minute intervals. Economic zones and North-South divide are shown in color overlays below city markers. Map insets provide regional context.</alt-text>
</graphic>
</fig>
<p>By comparing the geographical differences between ideal and annual GSAU (<xref ref-type="fig" rid="F6">Figure 6a</xref>), we find the ideal GSAU in southern cities (mean: 0.70) is approximately 10% higher than that in northern cities (mean: 0.63), the number of cities in the south with an ideal GSAU above 0.6 approximately 1.3 times that of northern cities (<xref ref-type="fig" rid="F6">Figure 6c</xref>). The mean annual GSAU in the southern zone (mean: 0.62) is approximately 15% higher than the northern zone (mean: 0.53) at different walk scales, and the proportion of cities in the southern zone (70%) with GSAU above 0.6 is more than twice that of northern cities (30%) (<xref ref-type="fig" rid="F6">Figure 6d</xref>). Furthermore, the ideal GSAU exceeds the annual GSAU by approximately 20% in northern cities, whereas the ideal GSAU exceeds the annual GSAU by about 10% in southern cities. Our analysis reveals that the disparity in environmental quality (temperature, humidity, air quality) between northern and southern regions has exacerbated the gap in GSAU, highlighting the critical importance of considering green space planning and environmental governance together in northern cities for residents&#x2019; easy access to green spaces.</p>
<p>By comparing the differences in GSAU across the summer and winter seasons between southern and northern cities (<xref ref-type="fig" rid="F7">Figures 7a,b</xref>), we found that the summer GSAU in southern cities (mean: 0.63) is approximately 10% higher than in northern cities (mean: 0.58), and the winter GSAU is about 30% higher in southern cities (mean: 0.59) than in northern cities (mean: 0.44). The proportion of southern cities with summer GSAU above 0.6 (85%) is more than twice that of northern cities (40%) (<xref ref-type="fig" rid="F6">Figure 6i</xref>), with winter GSAU above 0.6 (45%) is more than twice that of northern cities (20%) (<xref ref-type="fig" rid="F6">Figure 6l</xref>). In southern cities, the GSAU during the summer is approximately 8% higher than in the winter, whereas in northern cities, the summer GSAU exceeds the winter GSAU by about 30%. These indicate significant geographical variations in both winter and summer GSAU of China&#x2019;s major cities, and the GSAU of northern cities is greatly influenced by the season. Consequently, while the temperature gap driven by latitude is fixed, the significant role of air quality in this seasonal slump presents a tangible opportunity for intervention. Improving urban air quality through ecological controls could thus be a key strategy for mitigating the severe wintertime decline in green space accessibility in northern China.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Comparison of ideal GSAU and annual GSAU, summer GSAU, and winter GSAU in 30 major cities. <bold>(a)</bold> Comparison of ideal GSAU and annual GSAU between the cities of the North and the South at 5-, 10-, and 15-min walking scales; <bold>(b)</bold> Comparison of summer GSAU and winter GSAU between the cities of the North and the South at 5-, 10-, and 15-min walking scales.</p>
</caption>
<graphic xlink:href="fbuil-12-1760559-g007.tif">
<alt-text content-type="machine-generated">Two side-by-side boxplot graphics labeled a and b show GSAU values for Northern and Southern regions. Chart a compares ideal and annual GSAU over 5, 10, and 15 minutes. Chart b compares summer and winter GSAU for the same durations. Each category is color-coded and shows similar patterns of regional and temporal variation across both charts.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>Geographical location, economic development, and city size, among other varying factors, contribute to the uniqueness of each city, including its green space accessibility. Previous research has conducted modeling and exploration at the level of individual cities worldwide or across multiple cities. At the urban scale, evidence from cities such as Osaka, Japan; Vienna, Austria; Tehran, Iran; and Tczew, Poland indicates a connection between the accessibility of green infrastructure and socioeconomic factors (<xref ref-type="bibr" rid="B2">Badakhshan et al., 2025</xref>; <xref ref-type="bibr" rid="B50">Satake et al., 2025</xref>; <xref ref-type="bibr" rid="B51">Senetra et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Liu et al., 2021</xref>). For example, studies in Vienna have shown a significant positive correlation between the average accessibility of infrastructure and socioeconomic status (<xref ref-type="bibr" rid="B47">Riepl et al., 2025</xref>). Meanwhile, evidence from Barcelona and Shanghai, based on the spatiotemporal changes in urban green spaces, further supports this conclusion (<xref ref-type="bibr" rid="B12">Fan et al., 2017a</xref>). Additionally, a study of 1,039 medium and large cities globally found that cities in high-income countries generally have higher green space coverage and better accessibility compared to those in low-income countries (<xref ref-type="bibr" rid="B19">Huang C. et al., 2021</xref>).</p>
<p>It is noteworthy that some studies have found that city size and administrative rank also significantly influence green space accessibility (<xref ref-type="bibr" rid="B63">Xu et al., 2019</xref>; <xref ref-type="bibr" rid="B8">Chen et al., 2024</xref>). For instance, research on 283 Chinese cities revealed a positive correlation between a city&#x2019;s administrative level and its green space accessibility, which may be attributed to greater policy support and systematic planning in larger cities (<xref ref-type="bibr" rid="B8">Chen et al., 2024</xref>). Another study focusing on the same sample reached a similar conclusion, showing that provincial capitals had a significantly higher positive correlation with GSA than non-capital cities (<xref ref-type="bibr" rid="B23">Huang et al., 2023</xref>). Furthermore, despite a declining trend of GSA happened in megacities, another study noted that megacities still maintained higher overall GSA (<xref ref-type="bibr" rid="B22">Huang et al., 2022</xref>; <xref ref-type="bibr" rid="B21">Huang Y. et al., 2021</xref>). Beyond economic and size-related factors, the natural conditions, climate, and urbanization patterns of cities in different geographical regions may also play a role (<xref ref-type="bibr" rid="B53">Song et al., 2021</xref>). For example, some research suggests that southeastern China has lower urban green space stock coverage compared to the northwestern region, and GSA in the southeast has consistently been lower than in the northwest, with a declining trend observed in the eastern regions (<xref ref-type="bibr" rid="B19">Huang C. et al., 2021</xref>).</p>
<p>We conducted a systematic, multi-scale assessment of GSA, GSAI, and GSAU across 30 major Chinese cities, comparing differences based on geographical location, economic development level, and city size. The findings align with some of the aforementioned research while also revealing distinct conclusions. Firstly, although previous studies have addressed the distributional differences and temporal changes in green spaces across cities in terms of geography, economic development, and city size, seasonal variations have seldom been discussed. One of the most important findings of this paper is the clear disadvantage of northern cities that had not only lower annual GSA but also more severe seasonal decline of GSAU than the south. This broadens the results of works on individual northern cities (<xref ref-type="bibr" rid="B43">Pei et al., 2022</xref>) with the quantification of a systematic regional climate disadvantage. Though the idea of annual variation is accepted in literature of parks usage, the severity in which its effect on reducing actual accessibility in the North China&#x2014;a 30% reduction in winter&#x2014;has not before been brought up in this scale, and indicates that the more conventional climate agnostic GSA studies, may greatly over-estimate accessible green area in harsh season areas in temperate regions, an interesting consideration to planners of temperate zones around the world. Meanwhile, <xref ref-type="bibr" rid="B7">Chen Y. et al. (2022)</xref> believe that the inequality of <italic>per capita</italic> green space ecosystem services is negatively correlated with the size of cities measured by population and GDP. However, we detected an &#x201c;inequality paradox&#x201d; among the economically developed eastern megacities. Although their high GSA is consistent with the positive association between us and others (e.g., <xref ref-type="bibr" rid="B22">Huang et al., 2022</xref>) of the relationship between GDP and green space supply, their simultaneity with the high Gini indices indicates that it is unable to bridge between economic wealth and social justice. The findings are further puzzling as the three megacities where GSA is largest are also the leading cities in Gini (i.e. Shanghai, Beijing and Shenzhen), as well as many other Chinese cities (<xref ref-type="bibr" rid="B22">Huang et al., 2022</xref>; <xref ref-type="bibr" rid="B29">Li et al., 2022</xref>). That could be attributed to the &#x201c;green space paradox&#x201d; phenomenon, where newly built or restored green spaces promote environmental gentrification. While the community environment improves, the increase in property values and community living costs may lead to the migration and marginalization of low-income residents (<xref ref-type="bibr" rid="B61">Wolch et al., 2014</xref>; <xref ref-type="bibr" rid="B24">Immergluck and Balan, 2018</xref>; <xref ref-type="bibr" rid="B42">Pearsall and Eller, 2020</xref>). On the other hand, although the green spaces in leading economic cities have more abundant policy and financial support to increase the capacity, the newly built green spaces are usually located near upscale communities and attract groups with high socioeconomic status, which exacerbates the unfairness in green space accessibility (<xref ref-type="bibr" rid="B67">Yasumoto et al., 2014</xref>; <xref ref-type="bibr" rid="B69">Yutian et al., 2024</xref>). This suggests the observation that growth in wealth does not necessarily lead to growth in environmental equality. And this is further corroborated and generalized in scope from the intra-urban inequities documented in the case studies (<xref ref-type="bibr" rid="B40">Ou et al., 2021</xref>) to a regional level, which also indicates that the spatial gap between population and green resources is a ubiquitous characteristic of China&#x2019;s emerging megacities.</p>
<p>Given the pace of urbanization, the disproportionate allocation of urban greenspace has become one of key concerns for social justice in research in this area. A wide range of papers also apply different techniques to measure the inequity in green spaces from different angles, such as <xref ref-type="bibr" rid="B63">Xu et al. (2024)</xref> using the Theil index to measure inequity in access and availability of greenspace within and among urban villages and formal residential zones of Shenzhen. On a national scale, <xref ref-type="bibr" rid="B6">Chen B. et al. (2022)</xref> used the Gini coefficient to quantify the inequalities of green space exposure across the globe. Continuing to refine the idea of equity, <xref ref-type="bibr" rid="B25">Jiang et al. (2023)</xref> developed green space equity in the Qingdao city according to both distributive and perceptual equity aspects. Likewise, <xref ref-type="bibr" rid="B29">Li et al. (2022)</xref> propose a multiscale general equity evaluation index considering accessibility (Ai), diversity (Di), convenience (Ci) and satisfaction (Si). Also, there is a new evaluation method from social, economics, and geography aspects is added by <xref ref-type="bibr" rid="B4">Cao et al. (2024)</xref> to the central area West Bank in Changsha. Despite these meaningful efforts, a typical gap exists in these existing studies: objective equity facets, such as spatial allocation and spatial proximity, have received much more attention than subjective equity factors including travelers&#x2019; perceptions, satisfaction, and intent to visit. In addition, we find no existing framework has achieved the objective of taking both subjective and objective evaluations together as a comprehensive indicator of the quality of urban public green space equity. In our paper, we fill this gap with the introduction of the TAI&#x2013;a representative index that indicates the urban residents&#x2019; subjective aversion to the outdoor space of public green under different temperatures. TAI measures travelers&#x2019; preference differences of travelling willingness with respect to different quality environments between Chinese cities, which has rectified the shortcoming of only considering geographic equity in traditional GSA evaluation. Nevertheless, we want to make sure readers understand the limitations of the methods used in this study. The reason we have selected temperature, humidity, and AQI as the environmental factors is we can only access these data. Moving forward, more detailed and granular indicators&#x2014;such as the acoustic ambient, perceived safety and aesthetics quality&#x2014;may be incorporated to further enrich the robustness of such equity evaluation and completeness of the evaluations.</p>
<p>Mean-variance utility function is one of the core concepts of asset allocation theory in business economics to help the investors make an optimal risk-return trade-off by allocating different types of assets (<xref ref-type="bibr" rid="B35">Markowitz, 1952</xref>). Similarly, we creatively apply mean-variance utility function to study urban green space access in this paper and hypothesize that it will help the residents to strike an optimal risk-return trade-off between their negative perceptions of the travel and &#x201c;rewards&#x201d; or positive outcomes of the travel. Although utility functions have not been used very much in making travel choices, for example <xref ref-type="bibr" rid="B71">Zhang et al. (2016)</xref> calculated tourist destination utility based on the mean-variance utility, <xref ref-type="bibr" rid="B72">Zhang et al. (2024)</xref> posited that individual green space preference can be represented by utility functions, and that there is still an important gap in their use to model residents&#x2019; green space travel decisions in variable environmental contexts. We offer a new framework for assessing the optimal urban green space destination by incorporating residents&#x2019; travel willingness (derived from environmental quality), GSA, and GSAI. A critical result is the significant gap between optimal and annual GSAU. Under the ideal environment condition (i.e. TAF &#x3d; 1), 30 major Chinese cities have higher GSAU. The 30 cities have significantly lower annual GSAU, computed through the year-long TAI fitted with temperature, humidity, and air quality during the year. The &#x201c;utility gap&#x201d; highlights the very real consequence of real environmental quality on effective access that has arguably never been this important a factor given climate change and globalization.</p>
<p>For future study, our work can be scaled further. If enough data are collected, GSAU assessment on a regional (countrywide or worldwide) scale would be more feasible with a &#x201c;world map of green space utility&#x201d; exhibiting global-level pattern. On the other hand, we identified contrasting winter and summer GSAU in northern and southern Chinese cities respectively; the similar north-south and winter-summer differences in other hemispheres or other countries/cities should also be examined. In future, researchers need to take the green area quality, traffic quality and other related influencing factors, and the residents&#x2019; thematic preference into account to study GSAU differences between inner areas.</p>
<p>Our work in this paper can be looked upon as first step towards quantifying the realized utility of the urban green spaces. We claim that it cannot be captured only by physical distance or distributional fairness. The urban ecosystem is a co-evolving holistic entity and human-green interaction happens along a continuum of mediating environmental variables. While more focus on the drastic influence of external environmental quality on travel willingness, the quantification of feasible green space utility will gain significance to build actual livable cities and cities for all.</p>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusion and recommendations</title>
<p>This paper shows that equal and efficient green space access in urban Chinese megacities is a complicated issue. It has been found that the GSAs&#x2019; spatially inhomogeneous distribution is closely related to urban economic levels and the higher GSAI is surprisingly discovered in economically developed eastern megacities such as Shanghai and Beijing. Finally, GSAU index shows the difference in ideal and real utility that also impacted by seasonal and climate differences strongly in northern cities and shows that merely physical distance is not enough for considering in wellbeing of residents. Notably, as the seasonal and climatic attributes of nature are difficult to intervene in, policymakers should focus on optimizing GSA and GSAI, taking into account the geographical characteristics, economic development levels, and scale differences of cities for adaptive improvement and planning. For example, from a geographical perspective, for eastern megacities with high economic levels, it is necessary to enhance regional greenway networks, ensure equitable distribution of green space through pocket parks and green networks, and pay attention to the needs of &#x201c;new urban residents,&#x201d; focusing on green space provision in remote industrial parks and affordable housing areas. For expanding cities in the central region, ecological corridors and structural green spaces should be preemptively reserved during urban expansion planning, ensuring the protection of existing green spaces while improving green space coverage and accessibility. For cities in ecologically fragile western regions, the priority should be protection, with green space construction avoiding damage to ecologically sensitive areas. From a climatic perspective, given the seasonal variations in green space utility between northern and southern cities, &#x201c;season-adaptive planning&#x201d; should be implemented, especially in northern cities. To address extreme low temperatures, cold-resistant vegetation can be selected for outdoor greening, and greenhouse gardens can be promoted, combined with sustainable energy sources to enhance residents&#x2019; potential access to greenery. Furthermore, for cities with sufficient green coverage but low GSAU, improving transportation infrastructure is a crucial step in enhancing green space accessibility and equity. Finally, urban planners should also focus on the quality and management of green infrastructure. For instance, artificial intelligence and big data technologies can be utilized to analyze and provide feedback on the basic conditions of green spaces, continuously optimizing green space management to minimize variations in usability and promote sustainable green urban development.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>YZ: Conceptualization, Methodology, Software, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. CX: Conceptualization, Data curation, Methodology, Visualization, Writing &#x2013; original draft. LS: Funding acquisition, Supervision, Writing &#x2013; review and editing, Formal Analysis. JZ: Data curation, Investigation, Writing &#x2013; review and editing. YZ: Data curation, Writing &#x2013; review and editing, Software. YX: Validation, Writing &#x2013; review and editing. WF: Supervision, Writing &#x2013; review and editing. TZ: Supervision, Writing &#x2013; review and editing. CZ: Supervision, Writing &#x2013; review and editing, Funding acquisition.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>The author(s) acknowledge that a previous version of this manuscript was published as a preprint on Research Square, available at: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.21203/rs.3.rs-5284210/v1">https://doi.org/10.21203/rs.3.rs-5284210/v1</ext-link>. And this version has been properly cited in the references. The vectors used in <xref ref-type="fig" rid="F1">Figure 1</xref> are sourced from <ext-link ext-link-type="uri" xlink:href="http://www.pixabay.com">www.pixabay.com</ext-link> and <ext-link ext-link-type="uri" xlink:href="http://www.freepik.com">www.freepik.com</ext-link>, all vectors are licensed for free use.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work 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) declared that generative AI was not 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>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1815632/overview">Yang Zhang</ext-link>, Chengdu University of Technology, China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3101573/overview">Shimei Li</ext-link>, Qingdao Agricultural University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3327300/overview">Jintang Chen</ext-link>, Guangzhou University, China</p>
</fn>
</fn-group>
<ref-list>
<title>References</title>
<ref id="B1">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Anguluri</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Narayanan</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Role of green space in urban planning: Outlook towards smart cities</article-title>. <source>Urban Forestry and Urban Greening</source> <volume>25</volume>, <fpage>58</fpage>&#x2013;<lpage>65</lpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2017.04.007</pub-id>
</mixed-citation>
</ref>
<ref id="B2">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Badakhshan</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Sharifi</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Karami</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Is life green on the other half? Linking urban green infrastructure to socio-economic inequality and spatial segregation in Tehran, Iran</article-title>. <source>Appl. Geogr.</source> <volume>177</volume>, <fpage>103562</fpage>. <pub-id pub-id-type="doi">10.1016/j.apgeog.2025.103562</pub-id>
</mixed-citation>
</ref>
<ref id="B3">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>B&#xfc;ttner</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Seisenberger</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>McCormick</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Silva</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Teixeira</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Papa</surname>
<given-names>E.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Mapping of 15-minute city practices. Overview on strategies, policies and implementation in Europe and beyond</article-title>. <source>Driv. Urban Transit.</source> <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://transition-pathways.europa.eu/system/files/2025-01/Mapping%20of%2015-minute%20City%20Practices.pdf">https://transition-pathways.europa.eu/system/files/2025-01/Mapping%20of%2015-minute%20City%20Practices.pdf</ext-link> (Accessed May 20, 2025).</comment>
</mixed-citation>
</ref>
<ref id="B4">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Mapping urban green equity and analysing its impacted mechanisms: a novel approach</article-title>. <source>Sustain. Cities Soc.</source> <volume>101</volume>, <fpage>105071</fpage>. <pub-id pub-id-type="doi">10.1016/j.scs.2023.105071</pub-id>
</mixed-citation>
</ref>
<ref id="B5">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Jia</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A comparative analysis of accessibility measures by the two-step floating catchment area (2SFCA) method</article-title>. <source>Int. J. Geogr. Inf. Sci.</source> <volume>33</volume> (<issue>9</issue>), <fpage>1739</fpage>&#x2013;<lpage>1758</lpage>. <pub-id pub-id-type="doi">10.1080/13658816.2019.1591415</pub-id>
</mixed-citation>
</ref>
<ref id="B6">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Webster</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Contrasting inequality in human exposure to greenspace between cities of global North and global South</article-title>. <source>Nat. Commun.</source> <volume>13</volume> (<issue>1</issue>), <fpage>4636</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-022-32258-4</pub-id>
<pub-id pub-id-type="pmid">35941122</pub-id>
</mixed-citation>
</ref>
<ref id="B7">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ge</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Inequalities of urban green space area and ecosystem services along urban center-edge gradients</article-title>. <source>Landsc. Urban Plan.</source> <volume>217</volume>, <fpage>104266</fpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2021.104266</pub-id>
</mixed-citation>
</ref>
<ref id="B8">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>La Rosa</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Yue</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhuo</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Do larger cities enjoy better green space accessibility? Evidence from China</article-title>. <source>Environ. Impact Assess. Rev.</source> <volume>107</volume>, <fpage>107544</fpage>. <pub-id pub-id-type="doi">10.1016/j.eiar.2024.107544</pub-id>
</mixed-citation>
</ref>
<ref id="B9">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Delgado</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Romero</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Environmental conflict analysis using an integrated grey clustering and entropy-weight method: a case study of a mining project in Peru</article-title>. <source>Environ. Model. and Softw.</source> <volume>77</volume>, <fpage>108</fpage>&#x2013;<lpage>121</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsoft.2015.12.011</pub-id>
</mixed-citation>
</ref>
<ref id="B10">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dong</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The impact of air pollution on domestic tourism in China: a spatial econometric analysis</article-title>. <source>Sustainability</source> <volume>11</volume> (<issue>15</issue>), <fpage>4148</fpage>. <pub-id pub-id-type="doi">10.3390/su11154148</pub-id>
</mixed-citation>
</ref>
<ref id="B11">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eldridge</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Cui</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Berdugo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>S&#xe1;ez-Sandino</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Duran</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Urban greenspaces and nearby natural areas support similar levels of soil ecosystem services</article-title>. <source>Npj Urban Sustain.</source> <volume>4</volume> (<issue>1</issue>), <fpage>15</fpage>. <pub-id pub-id-type="doi">10.1038/s42949-024-00154-z</pub-id>
</mixed-citation>
</ref>
<ref id="B12">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Ouyang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Basnou</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pino</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2017a</year>). <article-title>Nature-based solutions for urban landscapes under post-industrialization and globalization: barcelona versus Shanghai</article-title>. <source>Environ. Research</source> <volume>156</volume>, <fpage>272</fpage>&#x2013;<lpage>283</lpage>. <pub-id pub-id-type="doi">10.1016/j.envres.2017.03.043</pub-id>
<pub-id pub-id-type="pmid">28371756</pub-id>
</mixed-citation>
</ref>
<ref id="B13">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Yue</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2017b</year>). <article-title>Accessibility of public urban green space in an urban periphery: the case of Shanghai</article-title>. <source>Landsc. Urban Plan.</source> <volume>165</volume>, <fpage>177</fpage>&#x2013;<lpage>192</lpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2016.11.007</pub-id>
</mixed-citation>
</ref>
<ref id="B14">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Hong</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Does urban green space pattern affect green space noise reduction?</article-title> <source>Forests</source> <volume>15</volume> (<issue>10</issue>), <fpage>1719</fpage>. <pub-id pub-id-type="doi">10.3390/f15101719</pub-id>
</mixed-citation>
</ref>
<ref id="B15">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Giannopoulou</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Livada</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Santamouris</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Saliari</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Assimakopoulos</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Caouris</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The influence of air temperature and humidity on human thermal comfort over the greater Athens area</article-title>. <source>Sustain. Cities Soc.</source> <volume>10</volume>, <fpage>184</fpage>&#x2013;<lpage>194</lpage>. <pub-id pub-id-type="doi">10.1016/j.scs.2013.09.004</pub-id>
</mixed-citation>
</ref>
<ref id="B16">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Handley</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Pauleit</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Slinn</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Barber</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Baker</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Jones</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2003</year>). <article-title>Accessible natural green space standards in towns and cities: a review and toolkit for their implementation</article-title>. <source>Engl. Nature Research Reports</source> <volume>526</volume>, <fpage>98</fpage>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://publications.naturalengland.org.uk/publication/65021">https://publications.naturalengland.org.uk/publication/65021</ext-link> (Accessed May 20, 2025).</comment>
</mixed-citation>
</ref>
<ref id="B17">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Information-theoretic-entropy based weight aggregation method in multiple-attribute group decision-making</article-title>. <source>Entropy</source> <volume>18</volume> (<issue>6</issue>), <fpage>171</fpage>. <pub-id pub-id-type="doi">10.3390/e18060171</pub-id>
</mixed-citation>
</ref>
<ref id="B18">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hou</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kuang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Dou</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Observing the compact trend of urban expansion patterns in global 33 megacities during 2000&#x2013;2020</article-title>. <source>J. Geogr. Sci.</source> <volume>33</volume> (<issue>12</issue>), <fpage>2359</fpage>&#x2013;<lpage>2376</lpage>. <pub-id pub-id-type="doi">10.1007/s11442-023-2180-0</pub-id>
</mixed-citation>
</ref>
<ref id="B19">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Clinton</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Dronova</surname>
<given-names>I.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Mapping the maximum extents of urban green spaces in 1039 cities using dense satellite images</article-title>. <source>Environ. Res. Lett.</source> <volume>16</volume> (<issue>6</issue>), <fpage>064072</fpage>. <pub-id pub-id-type="doi">10.1088/1748-9326/ac03dc</pub-id>
</mixed-citation>
</ref>
<ref id="B20">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Green spaces as an indicator of urban health: evaluating its changes in 28 mega-cities</article-title>. <source>Remote Sens.</source> <volume>9</volume> (<issue>12</issue>), <fpage>1266</fpage>. <pub-id pub-id-type="doi">10.3390/rs9121266</pub-id>
</mixed-citation>
</ref>
<ref id="B21">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Xue</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Spatial patterns and inequity of urban green space supply in China</article-title>. <source>Ecol. Indic.</source> <volume>132</volume>, <fpage>108275</fpage>. <pub-id pub-id-type="doi">10.1016/j.ecolind.2021.108275</pub-id>
</mixed-citation>
</ref>
<ref id="B22">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Jones</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Xue</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Ye</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Spatiotemporal patterns and inequity of urban green space accessibility and its relationship with urban spatial expansion in China during rapid urbanization period</article-title>. <source>Sci. Total Environ.</source> <volume>809</volume>, <fpage>151123</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2021.151123</pub-id>
<pub-id pub-id-type="pmid">34699811</pub-id>
</mixed-citation>
</ref>
<ref id="B23">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Trade-offs under pressure? Development of urban green space under economic growth and governance</article-title>. <source>J. Clean. Prod.</source> <volume>427</volume>, <fpage>139261</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2023.139261</pub-id>
</mixed-citation>
</ref>
<ref id="B24">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Immergluck</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Balan</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Sustainable for whom? Green urban development, environmental gentrification, and the Atlanta Beltline</article-title>. <source>Urban Geography</source> <volume>39</volume> (<issue>4</issue>), <fpage>546</fpage>&#x2013;<lpage>562</lpage>. <pub-id pub-id-type="doi">10.1080/02723638.2017.1360041</pub-id>
</mixed-citation>
</ref>
<ref id="B25">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ban</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Assessing distributional and perceived equity of urban green spaces in Qingdao&#x2019;s historic urban area</article-title>. <source>Buildings</source> <volume>13</volume> (<issue>11</issue>), <fpage>2822</fpage>. <pub-id pub-id-type="doi">10.3390/buildings13112822</pub-id>
</mixed-citation>
</ref>
<ref id="B26">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kabisch</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Strohbach</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Haase</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kronenberg</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Urban green space availability in European cities</article-title>. <source>Ecol. Indicators</source> <volume>70</volume>, <fpage>586</fpage>&#x2013;<lpage>596</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolind.2016.02.029</pub-id>
</mixed-citation>
</ref>
<ref id="B27">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Khavarian-Garmsir</surname>
<given-names>A. R.</given-names>
</name>
<name>
<surname>Sharifi</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sadeghi</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The 15-minute city: urban planning and design efforts toward creating sustainable neighborhoods</article-title>. <source>Cities</source> <volume>132</volume>, <fpage>104101</fpage>. <pub-id pub-id-type="doi">10.1016/j.cities.2022.104101</pub-id>
</mixed-citation>
</ref>
<ref id="B28">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Larson</surname>
<given-names>K. L.</given-names>
</name>
<name>
<surname>Brown</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>K. J.</given-names>
</name>
<name>
<surname>Pearsall</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Park equity: why subjective measures matter</article-title>. <source>Urban For. and Urban Green.</source> <volume>76</volume>, <fpage>127733</fpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2022.127733</pub-id>
</mixed-citation>
</ref>
<ref id="B29">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Liang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Beyond accessibility: a multidimensional evaluation of urban park equity in Yangzhou, China</article-title>. <source>ISPRS Int. J. Geo-Information</source> <volume>11</volume> (<issue>8</issue>), <fpage>429</fpage>. <pub-id pub-id-type="doi">10.3390/ijgi11080429</pub-id>
</mixed-citation>
</ref>
<ref id="B30">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Quality or quantity of urban greenery: which matters more to mental health? Evidence from housing prices in the Pearl River Delta</article-title>. <source>Landsc. Urban Plan.</source> <volume>263</volume>, <fpage>105438</fpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2025.105438</pub-id>
</mixed-citation>
</ref>
<ref id="B31">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kwan</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Kan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Analysis of urban green space accessibility and distribution inequity in the city of Chicago</article-title>. <source>Urban For. and Urban Green.</source> <volume>59</volume>, <fpage>127029</fpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2021.127029</pub-id>
</mixed-citation>
</ref>
<ref id="B32">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kwan</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Kan</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Toward a healthy urban living environment: assessing 15-minute green-blue space accessibility</article-title>. <source>Sustainability</source> <volume>14</volume> (<issue>24</issue>), <fpage>16914</fpage>. <pub-id pub-id-type="doi">10.3390/su142416914</pub-id>
</mixed-citation>
</ref>
<ref id="B33">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Indoor thermal environment and human health: a systematic review</article-title>. <source>Renew. Sustain. Energy Rev.</source> <volume>191</volume>, <fpage>114164</fpage>. <pub-id pub-id-type="doi">10.1016/j.rser.2023.114164</pub-id>
</mixed-citation>
</ref>
<ref id="B34">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kwan</surname>
<given-names>M. P.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>How human mobility shapes daily exposure to greenspaces: a systematic review</article-title>. <source>Environ. Res.</source> <volume>290</volume>, <fpage>123397</fpage>. <pub-id pub-id-type="doi">10.1016/j.envres.2025.123397</pub-id>
<pub-id pub-id-type="pmid">41308901</pub-id>
</mixed-citation>
</ref>
<ref id="B35">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Markowitz</surname>
<given-names>H. M.</given-names>
</name>
</person-group> (<year>1952</year>). <article-title>Portfolio selection</article-title>. <source>Journal Finance</source> <volume>7</volume> (<issue>1</issue>), <fpage>71</fpage>&#x2013;<lpage>91</lpage>. <pub-id pub-id-type="doi">10.1111/j.1540-6261.1952.tb01525.x</pub-id>
</mixed-citation>
</ref>
<ref id="B36">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moreno</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Allam</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Chabaud</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Gall</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pratlong</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Introducing the &#x201c;15-Minute City&#x201d;: sustainability, resilience and place identity in future post-pandemic cities</article-title>. <source>Smart Cities</source> <volume>4</volume> (<issue>1</issue>), <fpage>93</fpage>&#x2013;<lpage>111</lpage>. <pub-id pub-id-type="doi">10.3390/smartcities4010006</pub-id>
</mixed-citation>
</ref>
<ref id="B37">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moreno</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Allam</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Gall</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Implementing the 15-Minute city: a case study of paris</article-title>. <pub-id pub-id-type="doi">10.7916/dpvt-0r58</pub-id>
</mixed-citation>
</ref>
<ref id="B38">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Neuvonen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Siev&#xe4;nen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>T&#xf6;nnes</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Koskela</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Access to green areas and the frequency of visits&#x2013;A case study in Helsinki</article-title>. <source>Urban For. and Urban Green.</source> <volume>6</volume> (<issue>4</issue>), <fpage>235</fpage>&#x2013;<lpage>247</lpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2007.05.003</pub-id>
</mixed-citation>
</ref>
<ref id="B39">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Olfato-Parojinog</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Dagamac</surname>
<given-names>N. H. A.</given-names>
</name>
<name>
<surname>Limbo-Dizon</surname>
<given-names>J. E.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Assessment of urban green spaces per capita in a megacity of the Philippines: implications for sustainable cities and urban health management</article-title>. <source>GeoJournal</source> <volume>89</volume> (<issue>3</issue>), <fpage>94</fpage>. <pub-id pub-id-type="doi">10.1007/s10708-024-11084-9</pub-id>
</mixed-citation>
</ref>
<ref id="B40">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ou</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Is there an equality in the spatial distribution of urban vitality: a case study of Wuhan in China</article-title>. <source>Open Geosci.</source> <volume>13</volume> (<issue>1</issue>), <fpage>469</fpage>&#x2013;<lpage>481</lpage>. <pub-id pub-id-type="doi">10.1515/geo-2020-0249</pub-id>
</mixed-citation>
</ref>
<ref id="B41">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Park</surname>
<given-names>Y. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Assessing personal exposure to traffic-related air pollution using individual travel-activity diary data and an on-road source air dispersion model</article-title>. <source>Health and Place</source> <volume>63</volume>, <fpage>102351</fpage>. <pub-id pub-id-type="doi">10.1016/j.healthplace.2020.102351</pub-id>
<pub-id pub-id-type="pmid">32543437</pub-id>
</mixed-citation>
</ref>
<ref id="B42">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pearsall</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Eller</surname>
<given-names>J. K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Locating the green space paradox: a study of gentrification and public green space accessibility in Philadelphia, Pennsylvania</article-title>. <source>Landsc. Urban Plan.</source> <volume>195</volume>, <fpage>103708</fpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2019.103708</pub-id>
</mixed-citation>
</ref>
<ref id="B43">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pei</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>An improved multi-mode two-step floating catchment area method for measuring accessibility of urban park in Tianjin, China</article-title>. <source>Sustainability</source> <volume>14</volume> (<issue>18</issue>), <fpage>11592</fpage>. <pub-id pub-id-type="doi">10.3390/su141811592</pub-id>
</mixed-citation>
</ref>
<ref id="B44">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Pratt</surname>
<given-names>J. W.</given-names>
</name>
</person-group> (<year>1978</year>). &#x201c;<article-title>Risk aversion in the small and in the large</article-title>,&#x201d; in <source>Uncertainty in economics</source> (<publisher-name>Academic Press</publisher-name>), <fpage>59</fpage>&#x2013;<lpage>79</lpage>. <pub-id pub-id-type="doi">10.1016/B978-0-12-214850-7.50010-3</pub-id>
</mixed-citation>
</ref>
<ref id="B45">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Raileanu</surname>
<given-names>L. E.</given-names>
</name>
<name>
<surname>Stoffel</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Theoretical comparison between the gini index and information gain criteria</article-title>. <source>Ann. Math. Artif. Intell.</source> <volume>41</volume> (<issue>1</issue>), <fpage>77</fpage>&#x2013;<lpage>93</lpage>. <pub-id pub-id-type="doi">10.1023/B:AMAI.0000018580.96245.c6</pub-id>
</mixed-citation>
</ref>
<ref id="B46">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ren</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Guan</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Evaluating geographic and social inequity of urban parks in Shanghai through mobile phone-derived human activities</article-title>. <source>Urban For. and Urban Green.</source> <volume>76</volume>, <fpage>127709</fpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2022.127709</pub-id>
</mixed-citation>
</ref>
<ref id="B47">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Riepl</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Schaffartzik</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Grabow</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Banabak</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Living well with the foundational economy: assessing the spatial accessibility of foundational infrastructures in Vienna and the relationship to socio-economic status</article-title>. <source>Ecol. Econ.</source> <volume>232</volume>, <fpage>108558</fpage>. <pub-id pub-id-type="doi">10.1016/j.ecolecon.2025.108558</pub-id>
</mixed-citation>
</ref>
<ref id="B48">
<mixed-citation publication-type="web">
<person-group person-group-type="author">
<name>
<surname>Roo</surname>
<given-names>M. D.</given-names>
</name>
<name>
<surname>Kuypers</surname>
<given-names>V. H. M.</given-names>
</name>
<name>
<surname>Lenzholzer</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>
<italic>The green city guidelines: techniques for a healthy liveable</italic>
</article-title> <comment>city. The Green City. Available online at: <ext-link ext-link-type="uri" xlink:href="https://library.wur.nl/WebQuery/wurpubs/reports/410448">https://library.wur.nl/WebQuery/wurpubs/reports/410448</ext-link> (Accessed May 8, 2025).</comment>
</mixed-citation>
</ref>
<ref id="B49">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sander</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Klimesch</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Samaan</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>K&#xfc;hn</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Augustin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ascone</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Natural vs. built visual urban landscape elements around the home and their associations with mental and brain health of residents: a narrative review</article-title>. <source>J. Environ. Psychol.</source> <volume>104</volume>, <fpage>102559</fpage>. <pub-id pub-id-type="doi">10.1016/j.jenvp.2025.102559</pub-id>
</mixed-citation>
</ref>
<ref id="B50">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Satake</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Otsuka</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Imanishi</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Regional disparities in access to urban parks in Osaka city, Japan: spatial analysis using socioeconomic proxy indicators</article-title>. <source>Landsc. Ecol. Eng.</source> <volume>21</volume> (<issue>2</issue>), <fpage>321</fpage>&#x2013;<lpage>339</lpage>. <pub-id pub-id-type="doi">10.1007/s11355-025-00643-y</pub-id>
</mixed-citation>
</ref>
<ref id="B51">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Senetra</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Krzywnicka</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Mielke</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>An analysis of the spatial distribution, influence and quality of urban green space&#x2013;a case study of the Polish city of Tczew</article-title>. <source>Bull. Geogr. Socio-economic Ser.</source> <volume>42</volume> (<issue>42</issue>), <fpage>129</fpage>&#x2013;<lpage>149</lpage>. <pub-id pub-id-type="doi">10.2478/bog-2018-0035</pub-id>
</mixed-citation>
</ref>
<ref id="B52">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shi</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Marinoni</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>UGS-1m: fine-grained urban green space mapping of 34 major cities in China based on the deep learning framework</article-title>. <source>Earth Syst. Sci. Data Discuss.</source> <volume>2022</volume>, <fpage>1</fpage>&#x2013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.5194/essd-15-555-2023</pub-id>
</mixed-citation>
</ref>
<ref id="B53">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Ho</surname>
<given-names>H. C.</given-names>
</name>
<name>
<surname>Kwan</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Observed inequality in urban greenspace exposure in China</article-title>. <source>Environ. Int.</source> <volume>156</volume>, <fpage>106778</fpage>. <pub-id pub-id-type="doi">10.1016/j.envint.2021.106778</pub-id>
<pub-id pub-id-type="pmid">34425646</pub-id>
</mixed-citation>
</ref>
<ref id="B54">
<mixed-citation publication-type="book">
<person-group person-group-type="editor">
<name>
<surname>Stanners</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Bourdeau</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>1995</year>). <source>Europe&#x27;s environment: the Dob&#x159;&#xed;&#x161; assessment</source>, <fpage>xxiv&#x2b;</fpage>&#x2013;<lpage>676</lpage>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.cabidigitallibrary.org/doi/full/10.5555/19961901262">https://www.cabidigitallibrary.org/doi/full/10.5555/19961901262</ext-link> (accessed on April 5, 2025)</comment>.</mixed-citation>
</ref>
<ref id="B55">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Xiao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2026</year>). <article-title>Health effects of exposure to different urban walking environments: a systematic review and meta-analysis</article-title>. <source>J. Transp. and Health</source> <volume>47</volume>, <fpage>102246</fpage>. <pub-id pub-id-type="doi">10.1016/j.jth.2025.102246</pub-id>
</mixed-citation>
</ref>
<ref id="B56">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vale</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Lopes</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Accessibility inequality across Europe: a comparison of 15-minute pedestrian accessibility in cities with 100,000 or more inhabitants</article-title>. <source>NPJ Urban Sustain.</source> <volume>3</volume> (<issue>1</issue>), <fpage>55</fpage>. <pub-id pub-id-type="doi">10.1038/s42949-023-00133-w</pub-id>
</mixed-citation>
</ref>
<ref id="B57">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Veras</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Saldiva</surname>
<given-names>P. H. N.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Impact of air pollution and climate change on maternal, fetal and postnatal health</article-title>. <source>J. Pediatr.</source> <volume>101</volume>, <fpage>S48</fpage>&#x2013;<lpage>S55</lpage>. <pub-id pub-id-type="doi">10.1016/j.jped.2024.10.006</pub-id>
<pub-id pub-id-type="pmid">39581563</pub-id>
</mixed-citation>
</ref>
<ref id="B58">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>From 2SFCA to i2SFCA: integration, derivation and validation</article-title>. <source>Int. J. Geogr. Inf. Sci.</source> <volume>35</volume> (<issue>3</issue>), <fpage>628</fpage>&#x2013;<lpage>638</lpage>. <pub-id pub-id-type="doi">10.1080/13658816.2020.1811868</pub-id>
<pub-id pub-id-type="pmid">33732091</pub-id>
</mixed-citation>
</ref>
<ref id="B59">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Dai</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Nie</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Influence of urban green open space on residents&#x2019; physical activity in China</article-title>. <source>BMC Public Health</source> <volume>19</volume> (<issue>1</issue>), <fpage>1093</fpage>. <pub-id pub-id-type="doi">10.1186/s12889-019-7416-7</pub-id>
<pub-id pub-id-type="pmid">31409316</pub-id>
</mixed-citation>
</ref>
<ref id="B60">
<mixed-citation publication-type="journal">
<collab>WHO</collab> (<year>2017</year>). <article-title>Urban green space interventions and health: a review of impacts and effectiveness</article-title>. <source>Urban Green Space Interventions Health a Review Impacts Effectiveness</source>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://cdn.who.int/media/docs/librariesprovider2/euro-health-topics/environment/urban-green-space-intervention.pdf">https://cdn.who.int/media/docs/librariesprovider2/euro-health-topics/environment/urban-green-space-intervention.pdf</ext-link> (Accessed May 6, 2025).</comment>
</mixed-citation>
</ref>
<ref id="B61">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wolch</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Byrne</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Newell</surname>
<given-names>J. P.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Urban green space, public health, and environmental justice: the challenge of making cities &#x2018;just green enough</article-title>&#x2019;. <source>Landsc. Urban Planning</source> <volume>125</volume>, <fpage>234</fpage>&#x2013;<lpage>244</lpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2014.01.017</pub-id>
</mixed-citation>
</ref>
<ref id="B62">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Will the opening community policy improve the equity of green accessibility and in what ways? Response based on a 2-step floating catchment area method and genetic algorithm</article-title>. <source>J. Clean. Prod.</source> <volume>263</volume>, <fpage>121454</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2020.121454</pub-id>
</mixed-citation>
</ref>
<ref id="B63">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Big data-based evaluation of urban parks: a Chinese case study</article-title>. <source>Sustainability</source> <volume>11</volume> (<issue>7</issue>), <fpage>2125</fpage>. <pub-id pub-id-type="doi">10.3390/su11072125</pub-id>
</mixed-citation>
</ref>
<ref id="B64">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Haase</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The inequity of urban green space availability between urban villages and residential quarters: an empirical study in Shenzhen, China</article-title>. <source>J. Clean. Prod.</source> <volume>448</volume>, <fpage>141704</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2024.141704</pub-id>
</mixed-citation>
</ref>
<ref id="B66">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Associations between green open spaces and social interaction in neighbourhoods: a systematic literature review</article-title>. <source>Urban For. and Urban Green.</source> <volume>113</volume>, <fpage>128991</fpage>. <pub-id pub-id-type="doi">10.1016/j.ufug.2025.128991</pub-id>
</mixed-citation>
</ref>
<ref id="B67">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yasumoto</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jones</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Shimizu</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Longitudinal trends in equity of park accessibility in Yokohama, Japan: an investigation into the role of causal mechanisms</article-title>. <source>Environ. Plan. A</source> <volume>46</volume> (<issue>3</issue>), <fpage>682</fpage>&#x2013;<lpage>699</lpage>. <pub-id pub-id-type="doi">10.1068/a45683</pub-id>
</mixed-citation>
</ref>
<ref id="B68">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ye</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Urban green space accessibility changes in a high-density city: a case study of Macau from 2010 to 2015</article-title>. <source>J. Transp. Geogr.</source> <volume>66</volume>, <fpage>106</fpage>&#x2013;<lpage>115</lpage>. <pub-id pub-id-type="doi">10.1016/j.jtrangeo.2017.11.009</pub-id>
</mixed-citation>
</ref>
<ref id="B69">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yutian</surname>
<given-names>L. U.</given-names>
</name>
<name>
<surname>Running</surname>
<given-names>C. H. E. N.</given-names>
</name>
<name>
<surname>Bin</surname>
<given-names>C. H. E. N.</given-names>
</name>
<name>
<surname>Jiayu</surname>
<given-names>W. U.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Inclusive green environment for all? An investigation of spatial access equity of urban green space and associated socioeconomic drivers in China</article-title>. <source>Landsc. Urban Plan.</source> <volume>241</volume>, <fpage>104926</fpage>. <pub-id pub-id-type="doi">10.1016/j.landurbplan.2023.104926</pub-id>
</mixed-citation>
</ref>
<ref id="B70">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zakamouline</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Koekebakker</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>A generalisation of the mean&#x2010;variance analysis</article-title>. <source>Eur. Financ. Manag.</source> <volume>15</volume> (<issue>5</issue>), <fpage>934</fpage>&#x2013;<lpage>970</lpage>. <pub-id pub-id-type="doi">10.1111/j.1468-036X.2009.00483.x</pub-id>
</mixed-citation>
</ref>
<ref id="B71">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Botti</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Petit</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Destination performance: introducing the utility function in the mean-variance space</article-title>. <source>Tour. Manag.</source> <volume>52</volume>, <fpage>123</fpage>&#x2013;<lpage>132</lpage>. <pub-id pub-id-type="doi">10.1016/j.tourman.2015.06.017</pub-id>
</mixed-citation>
</ref>
<ref id="B72">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lei</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Tong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Assessment and optimization of urban spatial resilience from the perspective of life circle: a case study of Urumqi, NW China</article-title>. <source>Sustain. Cities Soc.</source> <volume>109</volume>, <fpage>105527</fpage>. <pub-id pub-id-type="doi">10.1016/j.scs.2024.105527</pub-id>
</mixed-citation>
</ref>
</ref-list>
</back>
</article>