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<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1540620</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1540620</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Unlocking urban transportation carbon reduction potential: a dynamic evaluation of public transit adoption in response to carbon-centric policies</article-title>
<alt-title alt-title-type="left-running-head">Peng et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1540620">10.3389/fenvs.2025.1540620</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Ran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ding</surname>
<given-names>Keyuan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Xueliang</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Yao</surname>
<given-names>Keyu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<xref ref-type="aff" rid="aff3">
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Transportation and Logistics Engineering</institution>, <institution>Wuhan University of Technology</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Civil Engineering and Architecture</institution>, <institution>Wuhan Institute of Technology</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Hubei Provincial Engineering Research Center for Green Civil Engineering Materials and Structures</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2083619/overview">Le Wen</ext-link>, Auckland University of Technology, New Zealand</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1828288/overview">Ridwan Ibrahim</ext-link>, University of Lagos, Nigeria</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3003948/overview">Ping Zhang</ext-link>, Yanshan University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Keyuan Ding, <email>keyuan_ding@163.com</email>; Wei Zhang, <email>Jannet2025@wit.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>05</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1540620</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>12</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>04</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Peng, Ding, Liu, Yao, Zhou and Zhang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Peng, Ding, Liu, Yao, Zhou and Zhang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>The transition to carbon-centric urban policies requires innovative strategies to reduce transportation-related emissions. One such strategy is to shift travelers from high-carbon to low-carbon modes of transportation, a potential that has not been thoroughly quantified in urban planning frameworks.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study introduces the concept of urban transportation carbon reduction potential, defined as the share of travelers who could feasibly switch to low-carbon modes under optimized public transit conditions. A dynamic evaluation model was developed, integrating key factors such as connection, detour, and transfer barriers that influence residents&#x2019; public transit adoption. The model was applied to cross-river travel in Wuhan, China, using 10,327 Origin-Destination (OD) survey data points collected between 2023 and 2024. Multiple optimization scenarios were simulated to assess responses to transit improvements.</p>
</sec>
<sec>
<title>Results</title>
<p>The analysis revealed three distinct zones of carbon reduction potential: stable, unlocking, and re-stable. Particularly, the unlocking zone exhibited substantial carbon reduction effects when targeted public transit improvements were implemented. Key thresholds were identified where small enhancements in transit connectivity led to sharp increases in low-carbon travel adoption.</p>
</sec>
<sec>
<title>Discussion</title>
<p>This study presents a novel optimization model for urban transit planning, which explicitly incorporates natural environmental constraints and provides quantitative decision support for achieving SDG11 targets on sustainable cities and communities. It offers valuable insights for cities within the Yangtze River Economic Belt, aiding strategic investment in public transit to enhance low-carbon mobility.</p>
</sec>
</abstract>
<kwd-group>
<kwd>urban transportation carbon reduction potential</kwd>
<kwd>cross-river transportation</kwd>
<kwd>policy-driven carbon mitigation</kwd>
<kwd>travel behavior transformation</kwd>
<kwd>energy-efficient transportation systems</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Policy and Governance</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The growing urgency of climate change has accelerated global efforts to adopt low-carbon strategies. The transportation sector accounts for 21% of global carbon dioxide emissions (<xref ref-type="bibr" rid="B126">Tiseo, 2025</xref>) and is projected to comprise 41% of global fuel-based emissions by 2030 (<xref ref-type="bibr" rid="B118">World Energy Outlook, 2022 &#x2013; Analysis, 2022</xref>). Meanwhile, China, responsible for 34% of global CO<sub>2</sub> emissions in 2023 (<xref ref-type="bibr" rid="B24">CO2 Emissions in 2023 &#x2013; Analysis, 2024</xref>), is currently the world&#x2019;s largest emitter; of China&#x2019;s total transport-related carbon emissions in 2023, 90% stem from road transport, with private automobiles contributing the majority of passenger-related emissions (<xref ref-type="fig" rid="F1">Figure 1</xref>). Against this backdrop, China&#x2019;s &#x201c;Dual-Carbon&#x201d; strategy mandates achieving peak carbon emissions by 2030, compelling megacities to explore pathways for structural emission reductions (<xref ref-type="bibr" rid="B2">Actively and steadily advance carbon peak and carbon neutrality__China Government Website, 2023</xref>). Consequently, there is an urgent need for innovative approaches to low-carbon transportation that address infrastructure constraints, travel behavior preferences, and inefficiencies within existing systems.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Composition of China&#x2019;s transportation carbon emissions in 2023.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g001.tif"/>
</fig>
<p>China is experiencing the world&#x2019;s fastest motorization surge, with annual new vehicle registrations exceeding 30&#xa0;million for ten consecutive years (<xref ref-type="bibr" rid="B106">The national motor vehicle fleet has reached 453 million vehicles, and the number of drivers has reached 542 million people - Ministry of Public Security website, 2025</xref>). Accordingly, China&#x2019;s efforts to reduce road transport carbon emissions hold significant leverage for global climate governance. Public transit, given its higher passenger capacity and substantially lower <italic>per capita</italic> emissions relative to private vehicles, offers a compelling solution (<xref ref-type="bibr" rid="B76">Lu et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Andong and Sajor, 2017</xref>; <xref ref-type="bibr" rid="B68">Li H. et al., 2019</xref>; <xref ref-type="bibr" rid="B33">Yu et al., 2021</xref>; <xref ref-type="bibr" rid="B13">Bi et al., 2024</xref>). For instance, a medium-sized gasoline car emits approximately 192&#xa0;g of CO<sub>2</sub> per person-kilometer (<xref ref-type="fig" rid="F2">Figure 2</xref>), compared to 105&#xa0;g for a bus and merely 41&#xa0;g for rail transit (<xref ref-type="bibr" rid="B46">Greenhouse gas reporting, 2019</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The carbon emission per person-kilometer of a medium-sized gasoline car is about 192&#xa0;g, a bus is only about 105&#xa0;g, and a rail train is only about 41&#xa0;g.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g002.tif"/>
</fig>
<p>Cities divided by rivers face distinct challenges in transitioning to low-carbon transportation systems. River-crossing corridors act as critical bottlenecks in urban networks: their construction is not only costly but also poses significant ecological impacts (<xref ref-type="bibr" rid="B20">Chen et al., 2021</xref>). In addition, the mechanisms and externalities associated with low-carbon land use policies on both sides of the river also contribute to the overall sustainable development of the city (<xref ref-type="bibr" rid="B72">Liu et al., 2025</xref>). Assessing the carbon reduction potential of these transportation bottlenecks is thus crucial for meeting China&#x2019;s dual-carbon goals and providing guidance for other topographically constrained cities aiming to fulfill Sustainable Development Goal 11 (SDG11).</p>
<p>The Yangtze River Basin alone accounts for over 40% of China&#x2019;s population and GDP (<xref ref-type="bibr" rid="B102">Strategic Basic Information - Yangtze River Economic Belt, 2019</xref>), with eleven cities bisected by the Yangtze, creating distinctive cross-river travel demands. Wuhan&#x2014;a megacity partitioned by both the Yangtze and Han Rivers&#x2014;provides a key case study in this regard. Unlike Shanghai or Nanjing, which have largely developed along one side of the Yangtze, Wuhan is divided into Wuchang, Hankou, and Hanyang, thereby generating complex and substantial cross-river traffic needs. These geographic constraints, combined with soaring travel demand and China&#x2019;s pilot information consumption policy that deeply integrates information technology with traditional consumption (<xref ref-type="bibr" rid="B73">Liu et al., 2023</xref>), make Wuhan an ideal setting for investigating the policy-driven unlocking of low-carbon transportation potential.</p>
<p>Public transportation is expected to provide point-to-point service from origin to destination for people, excessive connections, detours, and transfers are generally disliked in public transportation travel, and may affect the willingness of urban residents to travel by public transportation. This leads us to consider three key questions: First, in comparison to driving, how does the higher occurrence of connections, detours, and transfers in public transportation affect the travel mode preferences of urban residents (<xref ref-type="fig" rid="F3">Figure 3</xref>)? Second, considering the resource allocation constraints of cross-river transportation, is there a disparity in the impact between cross-river travel and non-cross-river travel? Additionally, what is the relationship between the resource allocation of cross-river transportation and this disparity? Addressing the above questions will assist city managers in implementing targeted transportation optimization measures to create a cross-river transportation environment that promotes low-carbon travel, and then effectively unlock the carbon reduction potential associated with urban cross-river transportation.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Comparison of OD routes between public transportation travel and driving travel: orange is the public transportation travel route, and blue is the driving travel route, which shows that public transportation travel may generate more connections, detours, and transfers.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g003.tif"/>
</fig>
<p>Although public transit is widely recognized as a key driver of decarbonization, existing models often fall short of capturing its dynamic potential in topographically constrained cities. Traditional assessment approaches tend to assume a linear relationship between infrastructure improvements and shifts in travel modes, overlooking the adaptive behavioral responses and threshold effects underlying residents&#x2019; transition to low-carbon mobility. This non-linear relationship remains largely unexplored in the current literature, underscoring the need for a paradigm shift from &#x201c;comprehensive coverage&#x201d; to &#x201c;precise targeting.&#x201d; Such a shift is particularly critical for river-divided cities, where infrastructure expansion entails high financial and environmental costs, making targeted interventions both more cost-effective and more impactful.</p>
<p>This study investigates the impact of connection, detour, and transfer on urban residents&#x2019; willingness to travel by public transportation, highlighting their implications for the carbon emissions of urban transportation systems. To address this, a dynamic evaluation method is proposed to quantify the urban transportation carbon reduction potential, defined as the proportion of travelers who could shift from high-carbon to low-carbon travel modes under optimized public transit conditions. This method, grounded in Origin-Destination (OD) survey data, calculates the number of potential low-carbon travelers based on thresholds of acceptable connection, detour, and transfer strength for public transportation users. Unlike static assessments, the urban transportation carbon reduction potential in this study is dynamic, as it varies with residents&#x2019; acceptance thresholds for public transit attributes. Analyzing the variation trends and identifying rapid unlocking zones of the urban transportation carbon reduction potential are key objectives of this research, as this information enables city managers to develop precise, cost-effective transportation policies that achieve significant reductions in carbon emissions at a lower marginal cost.</p>
<p>We applied this method with the evaluation of the carbon reduction potential of cross-river transportation in Wuhan, China, as an example. River-crossing passages serve as crucial transportation nodes in cities, but their construction entails substantial costs and poses a threat to the ecological environment. Consequently, the allocation of resources for urban cross-river transportation is often limited. Excessive car usage for crossing the river can lead to urban road congestion and, subsequently, a significant increase in overall carbon emissions from transportation. Thus, advocating the use of public transportation becomes particularly essential for cross-river travel. In order to effectively analyze the differences in the impacts of connection, detour, and transfer on residents&#x2019; travel mode choices between cross-river and non-cross-river trips, as well as the underlying relationship with the allocation of cross-river transportation resources, this study compared the carbon reduction potential of urban cross-river transportation and non-cross-river transportation. By analyzing the disparities between the two, the study investigated the influencing characteristics of public transportation connection, detour, and transfer on the carbon reduction potential of cross-river transportation. Subsequently, based on the OD data of relevant traffic flow, a specialized carbon reduction potential evaluation of the main river-crossing passages in the urban area of Wuhan was conducted. This aimed to reflect the disparities in transportation carbon reduction potential in different cross-river regions of the city, thereby providing quantitative evidence for the formulation of targeted measures.</p>
<p>Based on this framework, the study makes four key innovative contributions: Firstly, it introduces the concept of the urban transportation carbon reduction potential, shifting the focus from static evaluations of current conditions to the dynamic potential for unlocking low-carbon travel. Secondly, it identifies and analyzes the mechanisms through which connection, detour, and transfer barriers&#x2014;critical disadvantages of public transit compared to private vehicles&#x2014;affect the urban transportation carbon reduction potential. Thirdly, it emphasizes the identification of rapid unlocking zones for the urban transportation carbon reduction potential, determining the specific thresholds of connection, detour, and transfer strength corresponding to these zones. Lastly, recognizing the limited resources available for urban cross-river transportation, the study conducts a targeted evaluation of its carbon reduction potential.</p>
<p>These contributions are particularly valuable for informing the optimization of urban transportation policies, with a specific emphasis on cross-river transportation systems. Furthermore, the evaluation framework relies on basic OD survey data, making it highly applicable in low-data environments and accessible to non-specialists. This accessibility ensures that the methodology can be implemented in underdeveloped regions lacking advanced platforms and expertise, promoting its broader adoption and practical impact.</p>
<p>The remainder of this paper is organized as follows: the literature review related to this study is presented in <xref ref-type="sec" rid="s2">Section 2</xref>; The <xref ref-type="sec" rid="s3">Section 3</xref> explains and elaborates on the OD survey and evaluation methods; the <xref ref-type="sec" rid="s4">Section 4</xref> presents and discusses the evaluation results; the <xref ref-type="sec" rid="s5">Section 5</xref> presents the conclusions, limitations, and prospects for the follow-up work of this study.</p>
</sec>
<sec id="s2">
<title>Literature review</title>
<sec id="s2-1">
<title>Evaluation and control of carbon emissions in urban transportation</title>
<p>Transportation carbon emissions constitute a significant portion of overall urban carbon emissions, it is widely acknowledged internationally that effectively evaluating and managing urban transportation carbon emissions is essential. According to the statistics of the Cities Climate Leadership Group on the three basic emissions of stationary energy, transport, and waste (<xref ref-type="bibr" rid="B45">Greenhouse gas emissions interactive dashboard, 2022</xref>), cities such as S&#xe3;o Paulo, Ho Chi Minh City, Auckland, Stockholm, Oslo, and Houston, characterized by high motorization rates or underdeveloped public transportation systems, contribute nearly 60% of transportation carbon emissions. The proportion of most cities in the world falls between 20% and 60%. The promotion and utilization of new vehicle types and alternative transportation energy in recent years have garnered attention for their positive contributions to carbon emission reduction in urban transportation systems. For example, bicycle sharing (<xref ref-type="bibr" rid="B77">Zhang L. et al., 2018</xref>; <xref ref-type="bibr" rid="B62">Kou et al., 2020a</xref>; <xref ref-type="bibr" rid="B27">D&#x2019;Almeida et al., 2021a</xref>; <xref ref-type="bibr" rid="B112">Wang X. et al., 2021</xref>), electric bicycles (<xref ref-type="bibr" rid="B60">Ji et al., 2012b</xref>; <xref ref-type="bibr" rid="B80">McQueen et al., 2020a</xref>), electric motorcycles (<xref ref-type="bibr" rid="B53">Hsu and Wang, 2016a</xref>), and e-scooters (<xref ref-type="bibr" rid="B30">de Bortoli and Christoforou, 2020</xref>; <xref ref-type="bibr" rid="B36">Ehrenberger et al., 2022</xref>; <xref ref-type="bibr" rid="B44">Gebhardt et al., 2022</xref>; <xref ref-type="bibr" rid="B116">Weschke et al., 2022</xref>; <xref ref-type="bibr" rid="B22">Chien et al., 2023</xref>) in reducing carbon emissions from urban transportation, and the extent of carbon emission reduction from urban public transportation with the completion of electrification or the use of biofuels (<xref ref-type="bibr" rid="B93">Pereira et al., 2017a</xref>), etc. Notably, highly developed public transportation cities like Tokyo, Seoul, and Paris account for less than 20% of transportation carbon emissions, while Rotterdam, where bicycle travel is prevalent, only contributes to 4.8% of transportation carbon emissions. This evidence underscores the importance of promoting and guiding low-carbon travel among urban residents as a key strategy for controlling urban transportation carbon emissions.</p>
<p>Numerous studies have shown that walking, cycling or public transport travel has a positive effect on reducing the city&#x2019;s overall carbon emissions (<xref ref-type="bibr" rid="B92">Patalas-Maliszewska and Losyk, 2020</xref>; <xref ref-type="bibr" rid="B19">Chen et al., 2023</xref>; <xref ref-type="bibr" rid="B34">Di Martino et al., 2024</xref>), so investigating the urban spatial structure conducive to low-carbon travel has emerged as a prominent area of research interest (<xref ref-type="bibr" rid="B101">Stojanovski, 2019</xref>; <xref ref-type="bibr" rid="B103">Su et al., 2023</xref>; <xref ref-type="bibr" rid="B115">Zhao et al., 2023</xref>). Moreover, the promotion and utilization of new vehicle types and alternative transportation energy in recent years have garnered attention for their positive contributions to carbon emission reduction in urban transportation systems. For example, bicycle sharing (<xref ref-type="bibr" rid="B63">Kou et al., 2020b</xref>; <xref ref-type="bibr" rid="B28">D&#x2019;Almeida et al., 2021b</xref>; <xref ref-type="bibr" rid="B111">Wang S. et al., 2021</xref>; <xref ref-type="bibr" rid="B75">Liu et al., 2024</xref>), electric bicycles (<xref ref-type="bibr" rid="B59">Ji et al., 2012a</xref>; <xref ref-type="bibr" rid="B81">McQueen et al., 2020b</xref>), and electric motorcycles (<xref ref-type="bibr" rid="B54">Hsu and Wang, 2016b</xref>) in reducing carbon emissions from urban transportation, and the extent of carbon emission reduction from urban public transportation with the completion of electrification (<xref ref-type="bibr" rid="B52">Hou et al., 2023</xref>; <xref ref-type="bibr" rid="B14">Cai et al., 2024</xref>) or the use of biofuels (<xref ref-type="bibr" rid="B94">Pereira et al., 2017b</xref>), etc. Methodological advancements of dynamic traffic assignment methods in the application of environmentally sustainable road transport. The research findings indicate that dynamic traffic assignment methods can effectively assess carbon emissions in urban traffic and provide a scientific basis for policy formulation (<xref ref-type="bibr" rid="B113">Wang et al., 2018</xref>).</p>
</sec>
<sec id="s2-2">
<title>Connection, detour and transfer in urban transportation</title>
<p>The willingness of urban residents to use public transportation is directly influenced by connection, detour, and transfer factors. Efficient connections are crucial for optimizing the &#x201c;last mile&#x201d; of urban public transportation operations, while excessive detours and transfers significantly impact the efficiency and user experience of public transportation travel. Empirical research on typical connection, detour, and transfer issues is presented in <xref ref-type="sec" rid="s14">Supplementary Table S1</xref>, and the progress in research on these three aspects is discussed below.</p>
<sec id="s2-2-1">
<title>Connection</title>
<p>The establishment of an efficient transportation connection system can facilitate the transition of residents from private to public modes of travel, thereby reducing the operational costs of urban transportation (<xref ref-type="bibr" rid="B4">Almasi et al., 2016</xref>). The concept of the &#x201c;last mile&#x201d; has been extensively discussed in transportation connection studies, highlighting the importance of effectively transporting urban commuters to public transportation arteries. Currently, the connection of urban railway systems is a prominent area of research, and the convenience of connection is one of the core indicators in the applicability evaluation of urban railway system (<xref ref-type="bibr" rid="B10">Bajaj and Singh, 2021</xref>). The feeder bus plays a pivotal role in connecting urban rail trains, the accessibility and operational tatus of feeder bus services directly impact the overall accessibility of urban railway systems (<xref ref-type="bibr" rid="B105">Tang and Du, 2020</xref>; <xref ref-type="bibr" rid="B97">Saiyad et al., 2022</xref>), thus the demand (<xref ref-type="bibr" rid="B91">Pan et al., 2015</xref>; <xref ref-type="bibr" rid="B124">Zhu et al., 2017</xref>) and dispatch (<xref ref-type="bibr" rid="B31">Deng et al., 2013</xref>; <xref ref-type="bibr" rid="B61">Jiang et al., 2020</xref>; <xref ref-type="bibr" rid="B48">Yang et al., 2022</xref>) of feeder bus are crucial for the research, which can provide the basis for the route planning of feeder buses. In addition, the role of shared bicycles and taxis in transportation connection has also garnered attention, relevant research primarily focuses on the influence of social and environmental factors on their usage patterns (<xref ref-type="bibr" rid="B87">Ni and Chen, 2020</xref>; <xref ref-type="bibr" rid="B123">Zhao et al., 2022</xref>) and the synergistic effects of different connection tools (<xref ref-type="bibr" rid="B65">Zgheib et al., 2020</xref>). The urban transportation planning and construction of the &#x201c;last mile&#x201d; significantly impact the reduction of traffic congestion and carbon emissions, thereby enhancing the sustainability of urban transportation (<xref ref-type="bibr" rid="B16">Campisi et al., 2023</xref>).</p>
</sec>
<sec id="s2-2-2">
<title>Detour</title>
<p>Research on urban transportation detours primarily focuses on road network analysis and solution strategies related to detours. Identifying the shortest routes (<xref ref-type="bibr" rid="B39">Fei and Guo-Ping, 2011</xref>; <xref ref-type="bibr" rid="B88">Nutanong et al., 2012</xref>; <xref ref-type="bibr" rid="B1">Abdelghany et al., 2016</xref>) that avoid excessive detours and comparing the detour strength of different travel modes (<xref ref-type="bibr" rid="B66">Lee and Kim, 2015</xref>; <xref ref-type="bibr" rid="B82">Meeder and Weidmann, 2018</xref>; <xref ref-type="bibr" rid="B25">Costa et al., 2021</xref>) is the research focus in this field. In addition, studies based on various big data such as vehicle trajectories and GPS positioning have found that travel distance, road type, and architectural environment may have an impact on the regional distribution of detour strength in cities (<xref ref-type="bibr" rid="B117">Winters et al., 2010</xref>; <xref ref-type="bibr" rid="B47">Yang et al., 2018</xref>). For strategy, major studies focus on the detour control during the carpooling of online car-hailing. In this regard, matching algorithms, prospect theory, and evolutionary game models (<xref ref-type="bibr" rid="B100">Zhang et al., 2016</xref>; <xref ref-type="bibr" rid="B98">Zhang et al., 2018 W.</xref>) are used to analyze the optimal strategy selection of drivers in the carpooling process, and passengers are advised to get on and off at an alternative meeting point in the shared route (<xref ref-type="bibr" rid="B3">Aliari and Haghani, 2023</xref>), thereby reducing the detour strength and improving passenger matching during online carpooling.</p>
</sec>
<sec id="s2-2-3">
<title>Transfer</title>
<p>Research on urban transportation transfers primarily focuses on identifying various factors that lead to transfer obstacles within multimodal transportation systems and proposing corresponding solutions. The macro-level factors mainly include station location (<xref ref-type="bibr" rid="B96">Roquel et al., 2021</xref>; <xref ref-type="bibr" rid="B18">Chen et al., 2022</xref>), social economy (<xref ref-type="bibr" rid="B119">Wu et al., 2022a</xref>), building environment (<xref ref-type="bibr" rid="B41">Gan et al., 2021</xref>; <xref ref-type="bibr" rid="B71">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B119">Wu et al., 2022a</xref>), and transportation mode (<xref ref-type="bibr" rid="B41">Gan et al., 2021</xref>), and the key micro-level factors include waiting time and walking distance for transfers (<xref ref-type="bibr" rid="B86">Navarrete and Ort&#xfa;zar, 2013</xref>; <xref ref-type="bibr" rid="B50">Hernandez and Monzon, 2016</xref>; <xref ref-type="bibr" rid="B29">Yang et al., 2020</xref>). Moreover, the psychological state of passengers during the transfer process was also included in the research (<xref ref-type="bibr" rid="B86">Navarrete and Ort&#xfa;zar, 2013</xref>; <xref ref-type="bibr" rid="B50">Hernandez and Monzon, 2016</xref>; <xref ref-type="bibr" rid="B37">Espino and Roman, 2020</xref>). In recent years, the widespread use of smart cards in urban public transportation has made transfer issues based on smart card big data a current research focus (<xref ref-type="bibr" rid="B21">Chia et al., 2020</xref>; <xref ref-type="bibr" rid="B57">Hussain et al., 2021</xref>), the negative effect evaluation and sensitivity analysis of transfer penalties (<xref ref-type="bibr" rid="B29">Yang et al., 2020</xref>; <xref ref-type="bibr" rid="B56">Ye et al., 2023</xref>) have also gained increased attention. In terms of strategies, some researchers have developed optimization models for urban public transportation networks that aim to reduce the number of transfers (<xref ref-type="bibr" rid="B108">Wang C. et al., 2020</xref>; <xref ref-type="bibr" rid="B89">Owais et al., 2021a</xref>) and minimize waiting time (<xref ref-type="bibr" rid="B104">Takamatsu and Taguchi, 2020</xref>; <xref ref-type="bibr" rid="B120">Wu et al., 2022b</xref>), to enhance the connectivity of the urban transportation system (<xref ref-type="bibr" rid="B90">Owais et al., 2021b</xref>), and have also developed the public transportation passenger assistance system to address transfer obstacles such as vehicle congestion, missed connection, inconvenient luggage transport (<xref ref-type="bibr" rid="B38">Faulhaber et al., 2022</xref>) and so on, thereby enhancing the attractiveness of public transportation to city residents. Therefore, addressing the challenges and obstacles brought about by the transition to connecting corridors through intelligent transportation systems and resilient planning will enhance the sustainability and resilience of urban traffic (<xref ref-type="bibr" rid="B15">Campisi et al., 2021</xref>).</p>
</sec>
</sec>
<sec id="s2-3">
<title>Travel mode transformation of urban residents</title>
<p>
<xref ref-type="sec" rid="s14">Supplementary Table S2</xref> presents empirical studies on travel mode transformation, the impact of specific travel environments on residents&#x2019; willingness to travel has received major attention, including some extreme environments such as disastrous weather (<xref ref-type="bibr" rid="B99">Stamos et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Capr&#xec; et al., 2016</xref>; <xref ref-type="bibr" rid="B109">Zhang and Li, 2022</xref>), floods (<xref ref-type="bibr" rid="B85">Morelli and Cunha, 2021</xref>), road damage (<xref ref-type="bibr" rid="B7">Azolin et al., 2020a</xref>), or energy constraints (<xref ref-type="bibr" rid="B64">Krumdieck et al., 2010</xref>). Consequently, researchers focus on examining how residents&#x2019; travel modes change under specific conditions and analyze the factors and characteristics influencing this transformation. For instance, in recent years, the COVID-19 pandemic has led many urban residents to shift from public transportation travel to driving or non-motorized travel, subjective and objective factors such as urban location, socio-economic, travel psychology, and travel behavior are considered to have an impact on the travel mode transformation under the COVID-19 pandemic, and it has been verified in Bangladesh, Belgium, Thailand, Australia and many other countries in the world (<xref ref-type="bibr" rid="B26">Currie et al., 2021</xref>; <xref ref-type="bibr" rid="B51">Hook et al., 2021</xref>; <xref ref-type="bibr" rid="B58">Zafri et al., 2022</xref>; <xref ref-type="bibr" rid="B125">Zubair et al., 2022</xref>; <xref ref-type="bibr" rid="B23">Ciuffini et al., 2021</xref>). In addition, in order to alleviate urban traffic congestion and air pollution while reducing greenhouse gas emissions (<xref ref-type="bibr" rid="B9">Bagheri et al., 2020</xref>; <xref ref-type="bibr" rid="B74">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B83">Mocanu et al., 2021</xref>; <xref ref-type="bibr" rid="B95">Ramakrishnan et al., 2021</xref>), many places in the world have introduced targeted incentive policies, positive measures such as &#x201c;car sharing&#x201d; services (<xref ref-type="bibr" rid="B40">Fuller et al., 2013</xref>; <xref ref-type="bibr" rid="B42">Gao et al., 2019</xref>; <xref ref-type="bibr" rid="B32">Diana and Ceccato, 2022</xref>) or &#x201c;public transport priority&#x201d; programs (<xref ref-type="bibr" rid="B114">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="B35">Ding and Zhang, 2017</xref>; <xref ref-type="bibr" rid="B6">Asitha and Khoo, 2020</xref>), etc., negative measures such as private car congestion charges (<xref ref-type="bibr" rid="B70">Li Y. et al., 2019</xref>) and private driving restrictions (<xref ref-type="bibr" rid="B84">Zhang et al., 2017</xref>), etc. Many studies have examined the transformation characteristics from driving to public transportation or non-motorized travel under the influence of these incentives, and the research areas include Germany, Italy, Finland, Canada, India, China, Malaysia, etc. In general, the built environment (<xref ref-type="bibr" rid="B49">Heinen et al., 2017</xref>; <xref ref-type="bibr" rid="B12">Barnett et al., 2019</xref>), residential location (<xref ref-type="bibr" rid="B55">Hu and Schneider, 2015</xref>), population characteristics (<xref ref-type="bibr" rid="B43">Gao and Sun, 2018</xref>; <xref ref-type="bibr" rid="B107">Venkadavarahan and Marisamynathan, 2022</xref>), social psychology (<xref ref-type="bibr" rid="B107">Venkadavarahan and Marisamynathan, 2022</xref>), transportation layout (<xref ref-type="bibr" rid="B43">Gao and Sun, 2018</xref>), and working system (<xref ref-type="bibr" rid="B43">Gao and Sun, 2018</xref>) are often considered impact factors in the study of travel mode transformation, while the restrictive conditions include short-distance traffic, travel environment change, transportation facility activation, traffic interruption, and safety hazard upgrade, etc.</p>
<p>Some researchers have also considered the residents&#x2019; travel mode transformation in the construction of urban transportation resilience evaluation systems. In this regard, <xref ref-type="bibr" rid="B78">Martins et al. (2019a)</xref> proposed the concept of &#x201c;maximum possible distance&#x201d; and used it as the critical distance for the transformation between walking, cycling and motorized travel, so that the proportion of non-motorized travel under restrictive conditions was used as the primary criterion for evaluating the city&#x2019;s inherent transportation resilience. This study is also based on the premise of travel mode transformation in the variation process in the acceptable strength thresholds of urban residents for public transportation connection, detour, and transfer, dynamically judges the number of people with low-carbon travel potential. To achieve this, a series of scenarios combining these thresholds are constructed. Subsequently, the urban transportation carbon reduction potential is calculated for each scenario, and the variation trends in these values in relation to the connection, detour, and transfer thresholds are analyzed. Furthermore, this study identifies the zone where the urban transportation carbon reduction potential can be rapidly unlocked. <xref ref-type="bibr" rid="B8">Azolin et al. (2020b)</xref> considered the conversion of car travel to non-motorized or public transportation during destructive events, thus analyzed the contribution of urban public transportation systems and evaluated the overall transportation resilience of the city. Martins et al. used distance as a penalty factor influencing residents&#x2019; willingness to use non-motorized modes, and based on this, our study further introduced the penalty factors of connection, detour, and transfer influencing residents&#x2019; willingness to use public transportation. According to this, we have developed a transportation carbon reduction potential evaluation system based on the premise of the travel mode shift in the changing process of urban residents&#x2019; acceptable strength threshold in public transportation connections, detours, and transfers.</p>
</sec>
</sec>
<sec id="s3">
<title>Data and methodology</title>
<sec id="s3-1">
<title>Data collection for Wuhan</title>
<p>This study takes Wuhan City as the object, which is located in the central region of China and is the capital of Hubei Province with a permanent population of more than 13&#xa0;million (<xref ref-type="bibr" rid="B121">Wuhan, 2024</xref>). Wuhan is known as the &#x201c;River City&#x201d; as it is situated along the Yangtze River and its major tributary, the Han River, which divide the city into three regions: Hankou, Wuchang, and Hanyang. Being a city with the highest demand for cross-river transportation in China, Wuhan witnessed the completion and opening of the first Yangtze River bridge in 1957. By the end of 2024, as many as thirteen Yangtze River Bridges and ten Han River Bridges have been completed or are under construction in Wuhan. Additionally, there are two vehicle tunnels and four subway tunnels that traverse the Yangtze River. Therefore, Wuhan serves as an appropriate example for evaluating the carbon reduction potential in urban cross-river transportation.</p>
<p>In order to gather data on the travel characteristics of residents in Wuhan, a questionnaire survey was employed in this study. The survey was conducted between 2023 and 2024, resulting in a total of 10,327 valid questionnaires collected via online surveys. The survey content encompassed various aspects, including respondents&#x2019; daily travel modes, OD (Origin-Destination) coordinates, gender, age, income level, and more. Among the respondents, 2,152 individuals (20.84% of the total survey participants) reported traveling across the river. Respondents in this survey were mainly located in seven central districts of Wuhan, including Jiang&#x2019;an District, Jianghan District, Qiaokou District, Hanyang District, Wuchang District, Qingshan District, and Hongshan District, and some respondents were located in distant districts. In the calculation of OD distance and related connection, detour, and transfer strength, although dividing the city into traffic analysis zones (TAZs) and assigning all OD points to a central point in their TAZs helps to simplify the calculation significantly (<xref ref-type="bibr" rid="B79">Martins et al., 2019b</xref>; <xref ref-type="bibr" rid="B7">Azolin et al., 2020a</xref>; <xref ref-type="bibr" rid="B110">Wang et al., 2022</xref>), it may lead to large deviations from the actual results, so all calculated points in this study are actual OD points.</p>
</sec>
<sec id="s3-2">
<title>Calculation of connection, detour, and transfer strength</title>
<p>In this study, the connection strength is defined as the non-vehicle distance in the whole journey of public transportation travel between the origin and destination, represented as <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The detour strength is defined as the ratio of the shortest path distance for public transportation travel to the shortest path distance for driving travel between the origin and destination, represented as <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The transfer strength is defined as the number of transfers for public transportation travel between the origin and destination, represented as <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The acceptability of connection distance for urban residents does not exhibit a linear relationship with the total travel distance. For instance, while a passenger may accept a 1&#xa0;km distance when the total travel distance is 3&#xa0;km, it does not imply that the passenger would accept a 10&#xa0;km distance when the total travel distance is 30&#xa0;km. Therefore, the formula for calculating the connection strength can be expressed as <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">T</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the connection strength of public transportation travel between points <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, unit is km, <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the non-motorized travel distance from the departure point <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to the departure station, <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the non-motorized travel distance from the arrival station to the arrival point <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the non-motorized travel distance during the <italic>i</italic>th transfer process, and <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the number of transfers.</p>
<p>There is a correlation between the detour distance that urban residents can accept and the total travel distance, passengers with a total travel distance of 10&#xa0;km are often willing to accept a detour distance of 3&#xa0;km, but passengers with a total travel distance of only 1&#xa0;km obviously cannot accept a detour distance of 3&#xa0;km. In addition, for the calculation of detour strength, if only the ratio of the shortest path distance to the Euclidean distance between two points is considered, in most cases the shorter the travel distance, the higher the detour strength (<xref ref-type="bibr" rid="B47">Yang et al., 2018</xref>), so it is impossible to truly quantify the detour degree of public transportation travel compared with driving travel. Therefore, it is more appropriate to define the detour strength as the ratio of the shortest path distance of public transportation travel to the shortest path distance of driving travel, the calculation formula can be expressed as <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the detour strength of public transportation travel between points <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the shortest path distance of public transportation travel between points <inline-formula id="inf17">
<mml:math id="m19">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf19">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the shortest path distance of driving travel between points <inline-formula id="inf20">
<mml:math id="m22">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math id="m23">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, so the larger the value of <inline-formula id="inf22">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the higher the degree of detour of public transportation travel compared with driving travel between points <inline-formula id="inf23">
<mml:math id="m25">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf24">
<mml:math id="m26">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The number of transfers and the non-motorized travel distance during the transfer process directly impact the acceptance of public transportation travel by residents. The consideration of the non-motorized travel distance has already been incorporated into the calculation <xref ref-type="disp-formula" rid="e1">Equation (1)</xref> for connection strength, so the calculation formula for transfer strength can be expressed as <xref ref-type="disp-formula" rid="e3">Equation 3</xref>:<disp-formula id="e3">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mi mathvariant="bold-italic">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the transfer strength of public transportation travel between points <inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the number of transfers by public transportation travel between points <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is 0 if there is no transfer, so <inline-formula id="inf32">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is an integer greater than or equal to 0.</p>
</sec>
<sec id="s3-3">
<title>Travel mode classification</title>
<p>Objective factors such as travel necessity (<xref ref-type="bibr" rid="B64">Krumdieck et al., 2010</xref>) and external environmental impact (<xref ref-type="bibr" rid="B99">Stamos et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Capr&#xec; et al., 2016</xref>) are the basis for the classification of urban residents&#x2019; travel modes. <xref ref-type="bibr" rid="B79">Martins et al. (2019b)</xref> and <xref ref-type="bibr" rid="B110">Wang et al. (2022)</xref> categorized modes based on residents&#x2019; willingness distance for non-motorized travel, this study considers that residents&#x2019; willingness of public transportation travel may be affected by connection, detour, and transfer, and defines thresholds for <inline-formula id="inf33">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf34">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> mentioned above respectively to describe the maximum connection, detour, and transfer strength that urban residents are willing to accept in public transportation travel, represents as MCS (Maximum Connection Strength), MDS (Maximum Detour Strength) and MTS (Maximum Transfer Strength). This study assumes that residents are inclined to utilize public transportation when the actual connection, detour, and transfer strength do not exceed their respective thresholds. Conversely, if any of these strengths surpass their corresponding threshold, residents are reluctant to opt for public transportation. Additionally, <xref ref-type="sec" rid="s1">Section 1</xref> of this paper defines non-motorized travel, such as walking and cycling, as well as public transportation travel, as low-carbon mode, while driving travel is classified as non-low-carbon mode. Consequently, the travel modes of urban residents can be classified into four categories: active low-carbon travel, passive low-carbon travel, non-convertible non-low-carbon travel, and convertible non-low-carbon travel (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Four classifications of travel modes of urban residents.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g004.tif"/>
</fig>
<p>Active low-carbon travel refers to situations where the strengths of connection, detour, and transfer in public transportation travel fall below the maximum acceptable thresholds, and residents deliberately opt for non-motorized or public transportation modes. Passive low-carbon travel occurs when one or more of the strengths related to connection, detour, or transfer in residents&#x2019; public transportation travel exceeds the maximum acceptable threshold. Despite this, residents still opt for non-motorized or public transportation modes, this choice could be influenced by factors such as high driving costs or other personal considerations. Consequently, their low-carbon travel becomes passive and may not align with their preferences. Non-convertible non-low-carbon travel refers to situations where the strengths of connection, detour, and transfer in public transportation travel are all below the maximum acceptable thresholds, yet residents still opt for driving travel. This choice indicates that the primary reason for not choosing low-carbon travel is not the inconvenience of public transportation, and the improvement of public transportation convenience alone will not lead to a transformation in travel mode. Therefore, this travel mode cannot be transformed when only the improvement of public transportation travel conditions. Convertible non-low-carbon travel refers to situations where at least one of the strengths of connection, detour, and transfer in public transportation travel exceeds the maximum acceptable threshold, and residents opt for driving travel. In such cases, improvements in public transportation travel conditions may result in a transformation of travel mode for some residents towards low-carbon travel.</p>
<p>As mentioned above, only the travel mode categorized as convertible non-low-carbon has the potential to be transformed into low-carbon travel by improving public transportation travel conditions within the four travel modes. Therefore, this study introduces the concept of urban transportation carbon reduction potential, which represents the proportion of convertible non-low-carbon travelers to the total number of travelers. This measure reflects the potential scope for reducing carbon emissions in urban transportation by implementing relevant measures to enhance public transportation travel conditions.</p>
</sec>
<sec id="s3-4">
<title>Index calculation and evaluation system construction of urban transportation carbon reduction potential</title>
<p>The calculation formulas to determine the proportions of active low-carbon travelers, passive low-carbon travelers, non-convertible non-low-carbon travelers, and convertible non-low-carbon travelers among the total number of travelers are as <xref ref-type="disp-formula" rid="e4">Equations 4</xref>-<xref ref-type="disp-formula" rid="e7">7</xref>:<disp-formula id="e4">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">A</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">N</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <inline-formula id="inf36">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the proportion of the number of active low-carbon travelers in the total number of travelers, <inline-formula id="inf37">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the proportion of the number of passive low-carbon travelers in the total number of travelers, <inline-formula id="inf38">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the proportion of the number of non-convertible non-low-carbon travelers in the total number of travelers, <inline-formula id="inf39">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the proportion of the number of convertible non-low-carbon travelers in the total number of travelers, <inline-formula id="inf40">
<mml:math id="m47">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the total number of samples. <inline-formula id="inf41">
<mml:math id="m48">
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the sample set of active low-carbon travel, in which each sample satisfies <inline-formula id="inf42">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf43">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf44">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the travel mode is non-motorized travel or public transportation travel. <inline-formula id="inf45">
<mml:math id="m52">
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the sample set of passive low-carbon travel, in which each sample satisfies <inline-formula id="inf46">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> or <inline-formula id="inf47">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> or <inline-formula id="inf48">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the travel mode is non-motorized travel or public transportation travel. <inline-formula id="inf49">
<mml:math id="m56">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the sample set of non-convertible non-low-carbon travel, in which each sample satisfies <inline-formula id="inf50">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf51">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf52">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the travel mode is driving travel. <inline-formula id="inf53">
<mml:math id="m60">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the sample set of convertible non-low-carbon travel, in which each sample satisfies <inline-formula id="inf54">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> or <inline-formula id="inf55">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> or <inline-formula id="inf56">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the travel mode is driving travel. According to <xref ref-type="sec" rid="s3-3">Section 3.3</xref> of this paper, the proportion of convertible non-low-carbon travelers in the total number of travelers is defined as the urban transportation carbon reduction potential, so the value of <inline-formula id="inf57">
<mml:math id="m64">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the value of urban transportation carbon reduction potential.</p>
<p>To further analyze the variation trend of urban transportation carbon reduction potential with MCS, MDS and MTS values, and identify the rapid unlocking zone of this potential along with its corresponding key threshold, a series of combined scenarios were constructed. These scenarios were created by varying the MCS, MDS, and MTS values, the MCS value ranged from 0 to 5.0 with an increment of 0.1, the MDS value ranged from 0.50 to 3.00 with an increment of 0.05, while the MTS value ranged from 0 to 4 with an increment of 1. Each combined scenario was assigned a unique name and number. For instance, C0.5D1.50T1 represented a scenario with an MCS value of 0.5, an MDS value of 1.50, and an MTS value of 1. In total, this study constructed 13,005 combined scenarios, the starting scenario, denoted as C0D0.50T0, was numbered 1, while the ending scenario, denoted as C5.0D3.00T4, was numbered 13,005 (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Combined scenarios constructed based on differences in MCS, MDS, and MTS values.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">MCS</th>
<th colspan="6" align="center">MDS</th>
<th rowspan="2" align="center">MTS</th>
</tr>
<tr>
<th align="center">0.50</th>
<th align="center">0.55</th>
<th align="center">0.60</th>
<th align="center">2.90</th>
<th align="center">2.95</th>
<th align="center">3.00</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center">
<bold>0</bold>
</td>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">3</td>
<td align="center">49</td>
<td align="center">50</td>
<td align="center">51</td>
<td align="center">
<bold>0</bold>
</td>
</tr>
<tr>
<td align="center">52</td>
<td align="center">53</td>
<td align="center">54</td>
<td align="center">100</td>
<td align="center">101</td>
<td align="center">102</td>
<td align="center">
<bold>1</bold>
</td>
</tr>
<tr>
<td align="center">103</td>
<td align="center">104</td>
<td align="center">105</td>
<td align="center">151</td>
<td align="center">152</td>
<td align="center">153</td>
<td align="center">
<bold>2</bold>
</td>
</tr>
<tr>
<td align="center">154</td>
<td align="center">155</td>
<td align="center">156</td>
<td align="center">202</td>
<td align="center">203</td>
<td align="center">204</td>
<td align="center">
<bold>3</bold>
</td>
</tr>
<tr>
<td align="center">205</td>
<td align="center">206</td>
<td align="center">207</td>
<td align="center">253</td>
<td align="center">254</td>
<td align="center">255</td>
<td align="center">
<bold>4</bold>
</td>
</tr>
<tr>
<td rowspan="2" align="center">
<bold>0.1</bold>
</td>
<td align="center">256</td>
<td align="center">257</td>
<td align="center">258</td>
<td align="center">304</td>
<td align="center">305</td>
<td align="center">306</td>
<td align="center">
<bold>0</bold>
</td>
</tr>
<tr>
<td align="center">460</td>
<td align="center">461</td>
<td align="center">462</td>
<td align="center">508</td>
<td align="center">509</td>
<td align="center">510</td>
<td align="center">
<bold>4</bold>
</td>
</tr>
<tr>
<td rowspan="2" align="center">
<bold>4.9</bold>
</td>
<td align="center">12,496</td>
<td align="center">12,497</td>
<td align="center">12,498</td>
<td align="center">12,544</td>
<td align="center">12,545</td>
<td align="center">12,546</td>
<td align="center">
<bold>0</bold>
</td>
</tr>
<tr>
<td align="center">12,700</td>
<td align="center">12,701</td>
<td align="center">12,702</td>
<td align="center">12,748</td>
<td align="center">12,749</td>
<td align="center">12,750</td>
<td align="center">
<bold>4</bold>
</td>
</tr>
<tr>
<td rowspan="2" align="center">
<bold>5.0</bold>
</td>
<td align="center">12,751</td>
<td align="center">12,752</td>
<td align="center">12,753</td>
<td align="center">12,799</td>
<td align="center">12,800</td>
<td align="center">12,801</td>
<td align="center">
<bold>0</bold>
</td>
</tr>
<tr>
<td align="center">12,955</td>
<td align="center">12,956</td>
<td align="center">12,957</td>
<td align="center">13,003</td>
<td align="center">13,004</td>
<td align="center">13,005</td>
<td align="center">
<bold>4</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: Combined scenarios No. 1&#x2013;13,005 in the table correspond to fixed MCS, MDS, and MTS values. For example, scenario No. 508 is C0.1D2.90T4 and the MCS value is 0.1, the MDS value is 2.90, the MTS value is 4. The MCS value ranges from 0 to 5.0 (step 0.1), MDS from 0.50 to 3.00 (step 0.05), and MTS from 0 to 4 (step 1).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>After constructing a total of 13,005 combined scenarios, the 10,327 OD survey samples were divided into two groups: a river-crossing sample group and a non-river-crossing sample group. Based on the Baidu Maps API, the optimal public transportation and driving routes for all samples were obtained, and then the <inline-formula id="inf58">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf59">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf60">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values for all samples in the public transportation mode were calculated individually through a self-compiled program. Subsequently, <inline-formula id="inf61">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf62">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf63">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf64">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values were calculated for each of the 13,005 combined scenarios, considering the actual travel modes reported by the respondents. Samples that were unable to travel by public transportation were categorized as active low-carbon travel when the respondents reported walking or cycling as their actual travel mode. Conversely, these samples were classified as non-convertible non-low-carbon travel if the actual travel mode reported by the respondents was driving.</p>
<p>In addition, regarding the issue raised by the reviewer that the subway and traditional public transit systems are considered as two different networks in public transportation, this study, based on the Baidu Map API, comprehensively considers the different transfer distances, waiting times, and potential delays associated with subway and bus systems, and then derives the optimal travel solutions for evaluation. Therefore, it can be said that the Baidu Map API has already incorporated the subway and traditional public transit systems into a unified transportation network in the process of generating optimal travel solutions. The above represents our considerations on this matter, and we welcome any suggestions from the reviewer if there are any concerns. Following the completion of the aforementioned tasks, the calculated data was used to fit relationship curves between the urban transportation carbon reduction potential value and the MCS, MDS, and MTS values for both the river-crossing and non-river-crossing cases. The fitting formula was then derived, enabling a comprehensive comparison and analysis of the overall difference in urban transportation carbon reduction potential between the two cases. Lastly, an in-depth evaluation was conducted on the urban transportation carbon reduction potential of the primary river-crossing passages in Wuhan by considering the distribution of river-crossing traffic flow in each surveyed passage.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>Results and discussion</title>
<sec id="s4-1">
<title>Statistics on travel characteristics of Wuhan residents</title>
<p>Out of the 10,327 samples in this survey, 2,152 individuals (20.84% of all respondents) traveled across the river, signifying that approximately one-fifth of Wuhan residents require river crossings in their daily travel. Additionally, out of those, 1,757 individuals crossed the Yangtze River, accounting for 81.6% of all respondents, or approximately four-fifths, while only 395 individuals crossed the Han River, representing 18.4% or approximately one-fifth of the total. The demand for river crossings in Wuhan is predominantly focused on the Yangtze River due to historical reasons. Hankou, Wuchang, and Hanyang were independent cities in the past, resulting in comparable development levels on both sides of the Yangtze River and a significant need for commuting across it. Consequently, this has led to heightened traffic congestion on the river, distinguishing it from cities like Shanghai and Nanjing, which are situated along the Yangtze River but are primarily developed on one side.</p>
<p>Analysis of travel characteristics depicted in <xref ref-type="fig" rid="F5">Figure 5</xref> reveals that the majority of OD distances for non-river-crossing travel are typically under 10&#xa0;km. Specifically, 26.43% of the samples fall within the 2&#xa0;km range, while 45.86% fall within the 4&#xa0;km range. In contrast, river-crossing travel entails considerably greater OD distances, primarily concentrated within the 10&#x2013;30&#xa0;km range, with a sample size accounting for 70.38%. Consequently, out of the respondents, only 11.5% utilized non-motorized vehicles to cross the river, 18.8% used cars, and 69.7% relied on public transportation. In contrast, when not crossing the river, 40.4% of the respondents traveled by non-motorized vehicles, 20.4% by car, and another 39.2% by public transportation (<xref ref-type="fig" rid="F6">Figure 6</xref>). It can be seen that public transportation travel is the most important mode for Wuhan residents to travel, and traveling across river is especially dependent on public transportation.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> OD distance distribution of river-crossing travel, <bold>(B)</bold> OD distance distribution of non-river-crossing travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Comparison of the proportion of travel modes in the case of crossing river and non-crossing river.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g006.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> illustrates the distribution of OD distances for river-crossing public transportation travel, exhibiting a notable concentration of samples within the 10&#x2013;20&#xa0;km range, accounting for 44.31% of the total. In contrast, the OD distance distribution for river-crossing driving travel displays greater dispersion, with no significant variation in sample distribution across the 10&#x2013;40&#xa0;km range. This suggests that public transportation may not offer an advantage over driving for long-distance river-crossing travel exceeding 20&#xa0;km. In <xref ref-type="fig" rid="F8">Figure 8</xref>, the OD distance distribution of non-river-crossing public transportation travel exhibits its highest concentration around 5&#xa0;km, with 53.41% of samples falling within 10&#xa0;km, this indicates that the distance of river-crossing public transportation travel in Wuhan is generally about 10&#xa0;km longer than non-river-crossing public transportation travel, while non-river-crossing driving travel predominantly covers short distances within 10&#xa0;km, with 73.97% of samples falling into this category.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> OD distance distribution of river-crossing public transportation travel, <bold>(B)</bold> OD distance distribution of river-crossing driving travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> OD distance distribution of non-river-crossing public transportation travel, <bold>(B)</bold> OD distance distribution of non-river-crossing driving travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g008.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the <inline-formula id="inf65">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel are mainly distributed between 1.0 and 2.5&#xa0;km, the number of samples accounts for 75.57%, and the number of samples of non-river-crossing public transportation travel with the <inline-formula id="inf66">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values between 1.0 and 2.5&#xa0;km accounts for 70.72%, thus the distribution characteristics of the two are generally similar, which shows that although the distance of river-crossing public transportation travel is longer than that of non-river-crossing public transportation travel, it does not lead to a significant increase in the connecting distance.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> The distribution of <inline-formula id="inf67">
<mml:math id="m74">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel, <bold>(B)</bold> The distribution of <inline-formula id="inf68">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of non-river-crossing public transportation travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g009.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F10">Figure 10</xref>, the <inline-formula id="inf69">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel are mainly distributed between 0.9 and 1.3, but <inline-formula id="inf70">
<mml:math id="m77">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of non-river-crossing public transportation travel are mainly distributed between 1.0 and 1.5, and the number of samples with the <inline-formula id="inf71">
<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values between 1.5 and 3.0 also accounts for 27.82%. Compared with non-river-crossing public transportation travel, the overall detour strength of river-crossing public transportation travel is lower, even the <inline-formula id="inf72">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of 17.33% of the samples are lower than 1.0, which means that public transportation travel is shorter than driving travel for these samples. This discrepancy can be attributed to the presence of four subway lines that span the Yangtze River within Wuhan&#x2019;s urban area, effectively reducing detour distances for river-crossing public transportation travel, which is not available for river-crossing driving travel.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> The distribution of <inline-formula id="inf73">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel, <bold>(B)</bold> The distribution of <inline-formula id="inf74">
<mml:math id="m81">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of non-river-crossing public transportation travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g010.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F11">Figure 11</xref>, the <inline-formula id="inf75">
<mml:math id="m82">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel are mainly 1 and 2, the number of samples accounts for 79.55%, while the <inline-formula id="inf76">
<mml:math id="m83">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of non-river-crossing public transportation travel are mainly 0 and 1, the number of samples accounts for 79.87%. The data clearly shows a significant disparity in the number of transfers between river-crossing and non-river-crossing public transportation travel, only 9.09% of respondents can complete trips across the river without transferring, while a substantial 38.27% of respondents do not require transfers during non-river-crossing public transportation trips. This difference can be attributed to the longer distances typically associated with river-crossing public transportation travel, making it challenging to complete the journey without transfers.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(A)</bold> The distribution of <inline-formula id="inf77">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of river-crossing public transportation travel, <bold>(B)</bold> The distribution of <inline-formula id="inf78">
<mml:math id="m85">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of non-river-crossing public transportation travel.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g011.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Evaluation and comparison of cross-river transportation carbon reduction potential in Wuhan</title>
<p>The urban transportation carbon reduction potential was determined by individually calculating all survey samples across 13,005 combined scenarios. <xref ref-type="table" rid="T2">Table 2</xref> presents the calculation results for cross-river transportation, which consists of 2,152 samples. Similarly, <xref ref-type="table" rid="T3">Table 3</xref> displays the calculation results for non-cross-river transportation, comprising 8,175 samples. The <inline-formula id="inf79">
<mml:math id="m86">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values in <xref ref-type="table" rid="T2">Table 2</xref> represent the urban transportation carbon reduction potential in each scenario.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The values of cross-river transportation carbon reduction potential in combined scenarios.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Scenario number</th>
<th align="center">MCS</th>
<th align="center">MDS</th>
<th align="center">MTS</th>
<th align="center">
<inline-formula id="inf80">
<mml:math id="m87">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0.50</td>
<td align="center">0</td>
<td align="center">18.69%</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0</td>
<td align="center">0.55</td>
<td align="center">0</td>
<td align="center">18.69%</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0</td>
<td align="center">0.60</td>
<td align="center">0</td>
<td align="center">18.69%</td>
</tr>
<tr>
<td align="center">2000</td>
<td align="center">0.7</td>
<td align="center">1.00</td>
<td align="center">4</td>
<td align="center">18.51%</td>
</tr>
<tr>
<td align="center">4000</td>
<td align="center">1.5</td>
<td align="center">1.55</td>
<td align="center">3</td>
<td align="center">14.58%</td>
</tr>
<tr>
<td align="center">6000</td>
<td align="center">2.3</td>
<td align="center">2.10</td>
<td align="center">2</td>
<td align="center">12.15%</td>
</tr>
<tr>
<td align="center">8000</td>
<td align="center">3.1</td>
<td align="center">2.65</td>
<td align="center">1</td>
<td align="center">17.20%</td>
</tr>
<tr>
<td align="center">10000</td>
<td align="center">3.9</td>
<td align="center">0.65</td>
<td align="center">1</td>
<td align="center">18.49%</td>
</tr>
<tr>
<td align="center">13003</td>
<td align="center">5.0</td>
<td align="center">2.90</td>
<td align="center">4</td>
<td align="center">0.75%</td>
</tr>
<tr>
<td align="center">13004</td>
<td align="center">5.0</td>
<td align="center">2.95</td>
<td align="center">4</td>
<td align="center">0.75%</td>
</tr>
<tr>
<td align="center">13005</td>
<td align="center">5.0</td>
<td align="center">3.00</td>
<td align="center">4</td>
<td align="center">0.75%</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The values of non-cross-river transportation carbon reduction potential in combined scenarios.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Scenario number</th>
<th align="center">MCS</th>
<th align="center">MDS</th>
<th align="center">MTS</th>
<th align="center">
<inline-formula id="inf81">
<mml:math id="m88">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0.50</td>
<td align="center">0</td>
<td align="center">15.21%</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0</td>
<td align="center">0.55</td>
<td align="center">0</td>
<td align="center">15.21%</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0</td>
<td align="center">0.60</td>
<td align="center">0</td>
<td align="center">15.21%</td>
</tr>
<tr>
<td align="center">2000</td>
<td align="center">0.7</td>
<td align="center">1.00</td>
<td align="center">4</td>
<td align="center">15.09%</td>
</tr>
<tr>
<td align="center">4000</td>
<td align="center">1.5</td>
<td align="center">1.55</td>
<td align="center">3</td>
<td align="center">10.67%</td>
</tr>
<tr>
<td align="center">6000</td>
<td align="center">2.3</td>
<td align="center">2.10</td>
<td align="center">2</td>
<td align="center">5.55%</td>
</tr>
<tr>
<td align="center">8000</td>
<td align="center">3.1</td>
<td align="center">2.65</td>
<td align="center">1</td>
<td align="center">8.50%</td>
</tr>
<tr>
<td align="center">10000</td>
<td align="center">3.9</td>
<td align="center">0.65</td>
<td align="center">1</td>
<td align="center">15.12%</td>
</tr>
<tr>
<td align="center">13003</td>
<td align="center">5.0</td>
<td align="center">2.90</td>
<td align="center">4</td>
<td align="center">0.28%</td>
</tr>
<tr>
<td align="center">13004</td>
<td align="center">5.0</td>
<td align="center">2.95</td>
<td align="center">4</td>
<td align="center">0.24%</td>
</tr>
<tr>
<td align="center">13005</td>
<td align="center">5.0</td>
<td align="center">3.00</td>
<td align="center">4</td>
<td align="center">0.22%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In order to further determine the relationship function between the urban transportation carbon reduction potential and MCS, MDS and MTS, taking MCS, MDS and MTS as independent variables respectively, as well as the effect of degradation due to interference from the other two variables is not considered and defaulting them to the maximum value, and then the relationship curve is plotted with the value of <inline-formula id="inf82">
<mml:math id="m89">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> as the dependent variable. To compare the differences between the above relationship curves for the case of crossing river and the case of non-crossing river scenarios, separate curves were plotted for cross-river transportation and non-cross-river transportation. These curves were superimposed on the same coordinate system, the resulting relationship curves between the urban transportation carbon reduction potential of Wuhan and MCS, MDS, and MTS are shown in <xref ref-type="fig" rid="F12">Figures 12A&#x2013;C</xref>, respectively.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>
<bold>(A)</bold> The relationship curve between urban transportation carbon reduction potential and MCS in Wuhan, <bold>(B)</bold> The relationship curve between urban transportation carbon reduction potential and MDS in Wuhan, <bold>(C)</bold> The relationship curve between urban transportation carbon reduction potential and MTS in Wuhan.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g012.tif"/>
</fig>
<p>The curves shown in <xref ref-type="fig" rid="F12">Figure 12</xref> are fitted by the four-parameter logistic fit algorithm, resulting in the inverse &#x201c;S&#x201d;-shaped curves shown in <xref ref-type="fig" rid="F13">Figure 13</xref>, the R<sup>2</sup> of these three fitting curves are all greater than 0.99, showing a high degree of fitting, and the fitting results are shown in <xref ref-type="sec" rid="s14">Supplementary Table S3</xref>. The inverse &#x201c;S&#x201d;-shaped fitting curve shows that the urban transportation carbon reduction potential of Wuhan can be divided into three parts: the stable zone (slow unlocking), the unlocking zone (rapid unlocking) and the re-stable zone (slow unlocking) (<xref ref-type="fig" rid="F14">Figure 14</xref>). The unlocking zone is crucial, within this zone, as MCS, MDS, and MTS values increase, the rate of decrease in <inline-formula id="inf83">
<mml:math id="m90">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is greater compared to the stable zone and re-stable zone, this indicates a faster growth in the number of individuals transitioning from non-low-carbon travel to low-carbon travel, ultimately leading to a rapid unlocking of the urban transportation carbon reduction potential in this zone.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>
<bold>(A)</bold> The fitting curve of the relationship between urban transportation carbon reduction potential and MCS in Wuhan, <bold>(B)</bold> The fitting curve of the relationship between urban transportation carbon reduction potential and MDS in Wuhan, <bold>(C)</bold> The fitting curve of the relationship between urban transportation carbon reduction potential and MTS in Wuhan.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g013.tif"/>
</fig>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Three zones of the process of Wuhan&#x2019;s transportation carbon reduction potential variation with MCS, MDS and MTS.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g014.tif"/>
</fig>
<p>After derivation, the fitting process in Figure 13 can be expressed as <xref ref-type="disp-formula" rid="e8">Equations 8</xref>:<disp-formula id="e8">
<mml:math id="m91">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <inline-formula id="inf84">
<mml:math id="m92">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the corresponding carbon reduction potential value when the independent variable is close to 0, and <inline-formula id="inf85">
<mml:math id="m93">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the corresponding carbon reduction potential value when the independent variable is close to infinity, <inline-formula id="inf86">
<mml:math id="m94">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the MCS, MDS or MTS value corresponding to the fastest descending point of the fitting curve (i.e., the curve inflection point), and <inline-formula id="inf87">
<mml:math id="m95">
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the slope of the curve at <inline-formula id="inf88">
<mml:math id="m96">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>According to <xref ref-type="fig" rid="F13">Figure 13A</xref>, the urban cross-river transportation carbon reduction potential in Wuhan is consistently higher than that of non-cross-river transportation, regardless of variations in the MCS value. The starting and ending points of the carbon reduction potential unlocking zone for cross-river transportation have greater MCS values compared to the starting and ending points of the unlocking zone for non-cross-river transportation. Specifically, the unlocking zone for urban cross-river transportation carbon reduction potential is observed between MCS &#x3d; 1.05&#xa0;km and MCS &#x3d; 2.14&#xa0;km, with corresponding carbon reduction potential values of 17.12% and 6.92% respectively. On the other hand, the unlocking zone for urban non-cross-river transportation carbon reduction potential is situated between MCS &#x3d; 0.86&#xa0;km and MCS &#x3d; 1.99&#xa0;km, with corresponding carbon reduction potential values of 13.76% and 5.32% respectively. These findings indicate that the urban cross-river transportation carbon reduction potential in Wuhan can be rapidly unlocked when the maximum acceptable public transportation connection strength for residents reaches 1.05&#xa0;km. However, beyond an acceptable public transportation connection strength of 2.14&#xa0;km, the unlocking of the urban cross-river transportation carbon reduction potential in Wuhan becomes less significant. To effectively unlock the urban cross-river transportation carbon reduction potential, measures should be implemented to encourage residents to accept higher connection strengths in public transportation compared to non-cross-river transportation.</p>
<p>According to <xref ref-type="fig" rid="F13">Figure 13B</xref>, with the increase of MDS value, the carbon reduction potential of cross-river transportation is higher than that of non-cross-river transportation in the stable zone in Wuhan, but the value of carbon reduction potential of cross-river transportation decreases rapidly in the unlocking zone, and is generally lower than that of non-cross-river transportation, until the carbon reduction potential of cross-river transportation in the re-stable zone is higher again than that of non-cross-river transportation. Different from <xref ref-type="fig" rid="F13">Figure 13A</xref>, in the fitting curve of <xref ref-type="fig" rid="F13">Figure 13B</xref>, the MDS values of the starting and ending points of the carbon reduction potential unlocking zone of cross-river transportation are all smaller than those of non-cross-river transportation, of which the unlocking zone of urban cross-river transportation carbon reduction potential is located between MDS &#x3d; 0.99 and MDS &#x3d; 1.29, and the corresponding carbon reduction potential values are 15.97% and 5.71% respectively, the unlocking zone of urban non-cross-river transportation carbon reduction potential is located between MDS &#x3d; 1.04 and MDS &#x3d; 1.48, and the corresponding carbon reduction potential values are 13.45% and 4.86% respectively. These findings indicate that the urban cross-river transportation carbon reduction potential in Wuhan will be rapidly unlocked when the maximum acceptable public transportation detour strength for residents reaches 0.99, until the maximum acceptable public transportation connection strength for residents exceeds 1.29, then the urban cross-river transportation carbon reduction potential in Wuhan will no longer be unlocked at a significant rate. Based on the aforementioned analysis, when the overall detour strength of public transportation in Wuhan decreases or the acceptable threshold of detour strength for residents increases, the carbon reduction potential of cross-river transportation is unlocked earlier compared to non-cross-river transportation. Moreover, due to the considerably higher reduction rate of carbon reduction potential in the unlocking zone for cross-river transportation compared to non-cross-river transportation, the efficiency of unlocking the carbon reduction potential of cross-river transportation may be higher when effective measures are implemented.</p>
<p>According to <xref ref-type="fig" rid="F13">Figure 13C</xref>, the carbon reduction potential of urban cross-river transportation in Wuhan consistently surpasses that of non-cross-river transportation, regardless of variations in the MTS value. The unlocking zone for the carbon reduction potential of urban cross-river transportation is observed between MTS &#x3d; 1.07 and MTS &#x3d; 2.43, which corresponds to 1 and 3 transfers respectively. As the number of transfers must be a positive integer, the unlocking zone for the carbon reduction potential of urban cross-river transportation is adjusted to range from MTS &#x3d; 1 to MTS &#x3d; 3, with corresponding carbon reduction potential values of 17.29% and 3.11% respectively. Similarly, the unlocking zone for the carbon reduction potential of urban non-cross-river transportation is situated between MTS &#x3d; 0.22 and MTS &#x3d; 1.20, equivalent to 0 and 2 transfers, so the unlocking zone for the carbon reduction potential of urban non-cross-river transportation is adjusted to range from MTS &#x3d; 0 to MTS &#x3d; 2, with corresponding carbon reduction potential values of 15.21% and 2.63% respectively. Thus, there is no need to enforce zero transfers for river-crossing public transportation, because the difference in the value of cross-river transportation carbon reduction potential between 0-transfer and 1-transfer is only 1.34 percentage points, but when the number of transfers is 2, the value of cross-river transportation carbon reduction potential will drop by 7.75 percentage points, and when the number of transfers is 3, the value of cross-river transportation carbon reduction potential will continue to drop by 6.43 percentage points, so when residents&#x2019; maximum acceptable transfer strength for public transportation travel is increased from 1 to 3, the urban cross-river transportation carbon reduction potential in Wuhan will be unlocked at a quicker rate.</p>
<p>Based on the aforementioned information, MCS &#x3d; 1.05, MDS &#x3d; 0.99 and MTS &#x3d; 1 are the initial critical values of the unlocking zone in the fitted curves shown in <xref ref-type="fig" rid="F13">Figures 13A&#x2013;C</xref> respectively, and MCS &#x3d; 2.14, MDS &#x3d; 1.29 and MTS &#x3d; 3 are the final critical values of the unlocking zone in the fitted curves shown in <xref ref-type="fig" rid="F13">Figures 13A&#x2013;C</xref> respectively. Therefore, the carbon reduction potential value corresponding to the initial critical scenario MCS &#x3d; 1.05, MDS &#x3d; 0.99, and MTS &#x3d; 1 in the unlocking zone is defined as the initial unlocking value, denoted as IUV, and the carbon reduction potential value corresponding to the final critical scenario MCS &#x3d; 2.14, MDS &#x3d; 1.29, and MTS &#x3d; 3 in the unlocking zone is defined as the final unlocking value, denoted as FUV. According to the calculation, the IUV &#x3d; 19.1% and the FUV &#x3d; 9.5% of the urban cross-river transportation carbon reduction potential in Wuhan. The determination of IUV, FUV, and their respective critical scenarios can assist city managers to assess the urban cross-river transportation carbon reduction potential as a whole and the extent to which the urban cross-river transportation carbon emissions may be reduced after relevant optimization measures are implemented.</p>
</sec>
<sec id="s4-3">
<title>Evaluation and comparison of carbon reduction potential for river-crossing passages in Wuhan</title>
<p>
<xref ref-type="sec" rid="s4-2">Section 4.2</xref> of this paper provides a comprehensive evaluation of the carbon reduction potential of urban cross-river transportation in Wuhan. However, the findings do not capture the variations in carbon reduction potential across different regions of the city. The crucial aspect of cross-river transportation lies in the river-crossing passages, as they serve as convergence points for all the city&#x2019;s river-crossing traffic flows. Consequently, when conducting a zoning evaluation of the carbon reduction potential in urban cross-river transportation, it is more advantageous to adopt river-crossing passages as the basis for regional division rather than relying on urban administrative divisions (<xref ref-type="bibr" rid="B79">Martins et al., 2019b</xref>; <xref ref-type="bibr" rid="B110">Wang et al., 2022</xref>) or geographic grids (<xref ref-type="bibr" rid="B69">Li X. et al., 2020</xref>). This approach is justified by the fact that identifying the variations in carbon reduction potential among urban river-crossing passages aids in optimizing the allocation of transportation resources specific to each river-crossing passage.</p>
<p>As mentioned above and considering that the travel volume across the Yangtze River in Wuhan is far more than that across the Han River, this section selected the vehicle passages across Yangtze River in the urban area of Wuhan, and then calculated their carbon reduction potential values in each combined scenario based on the traffic flow OD data of each river-crossing vehicle passages, and finally the carbon reduction potential of each river-crossing vehicle passage was compared and analyzed. There are eight vehicle passages across Yangtze River located in the urban area of Wuhan, from north to south, they are four passages connecting Hankou and Wuchang including the Erqi Yangtze River Bridge, Wuhan Yangtze River Second Bridge, Wuhan Yangtze River Highway and Railway Tunnel, and Wuhan Yangtze River Tunnel, and four passages connecting Hanyang and Wuchang including the Wuhan Yangtze River Bridge, Yingwuzhou Yangtze River Bridge, Yangsigang Yangtze River Bridge and Baishazhou Bridge. In addition, there are four river-crossing subway lines in the urban area of Wuhan, from north to south, they are Wuhan Metro Line 8, Line 7, Line 2, and Line 4. Among them, Yangsigang Yangtze River Bridge and Baishazhou Bridge are located in the peripheral area of Wuhan, Yingwuzhou Yangtze River Bridge and Erqi Yangtze River Bridge are located in the critical area between the center and the periphery in Wuhan, and other river-crossing passages are located in the central area of Wuhan. (<xref ref-type="fig" rid="F15">Figure 15</xref>). Since subway travel is inherently low-carbon, the traffic flow of subway crossings is individually assigned to the river-crossing vehicle passages that would be utilized if subway travel were replaced with driving. As a result, all 1,757 traffic flows crossing the Yangtze River in this survey were allocated to the eight vehicle passages across the river within the urban area of Wuhan.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>The river-crossing passages and regional division in urban area of Wuhan.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g015.tif"/>
</fig>
<p>Calculating the <inline-formula id="inf89">
<mml:math id="m97">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf90">
<mml:math id="m98">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf91">
<mml:math id="m99">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf92">
<mml:math id="m100">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values for thetbl eight vehicle passages across Yangtze River in the urban area of Wuhan in the typical scenarios respectively according to the method described in <xref ref-type="sec" rid="s3-4">Section 3.4</xref>, for which selecting the initial critical scenario and the final critical scenario of the carbon reduction potential unlocking zone of cross-river transportation in Wuhan described in <xref ref-type="sec" rid="s3-3">Section 3.3</xref>, of which the initial critical scenario is MCS &#x3d; 1.05, MDS &#x3d; 0.99, MTS &#x3d; 1, the final critical scenario is MCS &#x3d; 2.14, MDS &#x3d; 1.29, MTS &#x3d; 3, and the calculated results are shown in <xref ref-type="table" rid="T4">Table 4</xref>. In addition, the proportions of <inline-formula id="inf93">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf94">
<mml:math id="m102">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf95">
<mml:math id="m103">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf96">
<mml:math id="m104">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of each passage across Yangtze River are shown in <xref ref-type="fig" rid="F16">Figures 16</xref>, <xref ref-type="fig" rid="F17">17</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>The <inline-formula id="inf97">
<mml:math id="m105">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf98">
<mml:math id="m106">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf99">
<mml:math id="m107">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf100">
<mml:math id="m108">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of the vehicle passages across Yangtze River in urban area of Wuhan in the initial critical scenario.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">River-crossing passage</th>
<th align="center">
<inline-formula id="inf101">
<mml:math id="m109">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf102">
<mml:math id="m110">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf103">
<mml:math id="m111">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf104">
<mml:math id="m112">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Erqi Yangtze River Bridge</td>
<td align="center">1.6%</td>
<td align="center">70.3%</td>
<td align="center">0.4%</td>
<td align="center">27.7%</td>
</tr>
<tr>
<td align="center">Baishazhou Bridge</td>
<td align="center">0.6%</td>
<td align="center">68.8%</td>
<td align="center">3.5%</td>
<td align="center">27.1%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Tunnel</td>
<td align="center">3.4%</td>
<td align="center">74.6%</td>
<td align="center">0.4%</td>
<td align="center">21.6%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Second Bridge</td>
<td align="center">0.6%</td>
<td align="center">81.3%</td>
<td align="center">0.3%</td>
<td align="center">17.8%</td>
</tr>
<tr>
<td align="center">Yangsigang Yangtze River Bridge</td>
<td align="center">1.4%</td>
<td align="center">81.9%</td>
<td align="center">0.0%</td>
<td align="center">16.7%</td>
</tr>
<tr>
<td align="center">Yingwuzhou Yangtze River Bridge</td>
<td align="center">0.8%</td>
<td align="center">83.7%</td>
<td align="center">0.2%</td>
<td align="center">15.3%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Bridge</td>
<td align="center">2.3%</td>
<td align="center">86.0%</td>
<td align="center">0.6%</td>
<td align="center">11.1%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Highway and Railway Tunnel</td>
<td align="center">3.6%</td>
<td align="center">92.8%</td>
<td align="center">0.0%</td>
<td align="center">3.6%</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>
<bold>(A)</bold> Proportions of <inline-formula id="inf105">
<mml:math id="m113">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf106">
<mml:math id="m114">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf107">
<mml:math id="m115">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf108">
<mml:math id="m116">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values in the initial critical scenario of the vehicle passages across Yangtze River in the urban area of Wuhan, <bold>(B)</bold> Proportions of <inline-formula id="inf109">
<mml:math id="m117">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf110">
<mml:math id="m118">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf111">
<mml:math id="m119">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf112">
<mml:math id="m120">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values in the final critical scenario of the vehicle passages across Yangtze River in the urban area of Wuhan.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g016.tif"/>
</fig>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>The WCV values of the vehicle passages across Yangtze River in the urban area of Wuhan: the inner circle is at the initial critical scenario, and the outer circle is at the final critical scenario.</p>
</caption>
<graphic xlink:href="fenvs-13-1540620-g017.tif"/>
</fig>
<p>The analysis presented in <xref ref-type="table" rid="T4">Tables 4</xref>, <xref ref-type="table" rid="T5">5</xref>, <xref ref-type="fig" rid="F16">Figure 16</xref> demonstrates that the river-crossing passages located in the peripheral areas of Wuhan exhibit a considerably greater potential for carbon reduction compared to those in the central areas. Notably, the Erqi Yangtze River Bridge at the northernmost point attains the highest <inline-formula id="inf113">
<mml:math id="m121">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of 27.7% in the initial critical scenario, while the Baishazhou Bridge at the southernmost point achieves a similarly remarkable value of 22.2% in the final critical scenario. Furthermore, the carbon reduction potential of the Yangsigang Yangtze River Bridge, situated in the peripheral area of Wuhan, surpasses that of the five river-crossing passages nearer to the core area, namely, the Wuhan Yangtze River Bridge, the Wuhan Yangtze River Second Bridge, the Wuhan Yangtze River Highway and Railway Tunnel, the Wuhan Yangtze River Tunnel, and the Yingwuzhou Yangtze River Bridge. These differences can be primarily attributed to the absence of public transportation options for crossing the Yangtze River at the northernmost and southernmost points of Wuhan. Additionally, the four river-crossing subway lines are exclusively situated in the central area, while there are also limited bus lines available for crossing the Yangtze River at the northernmost and southernmost points of Wuhan. Therefore, it is difficult for residents in these areas to travel by public transportation to the other side of the Yangtze River, and the problems such as traffic congestion or parking difficulties tend to be less common in peripheral areas compared with in central areas of Wuhan, thus the convenience of driving for residents in these areas has been further improved.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The <inline-formula id="inf114">
<mml:math id="m122">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf115">
<mml:math id="m123">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf116">
<mml:math id="m124">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf117">
<mml:math id="m125">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of the vehicle passages across Yangtze River in urban area of Wuhan in the final critical scenario.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">River-crossing passage</th>
<th align="center">
<inline-formula id="inf118">
<mml:math id="m126">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf119">
<mml:math id="m127">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf120">
<mml:math id="m128">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf121">
<mml:math id="m129">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Baishazhou Bridge</td>
<td align="center">38.9%</td>
<td align="center">30.6%</td>
<td align="center">8.3%</td>
<td align="center">22.2%</td>
</tr>
<tr>
<td align="center">Yangsigang Yangtze River Bridge</td>
<td align="center">44.4%</td>
<td align="center">38.9%</td>
<td align="center">1.4%</td>
<td align="center">15.3%</td>
</tr>
<tr>
<td align="center">Erqi Yangtze River Bridge</td>
<td align="center">26.6%</td>
<td align="center">45.3%</td>
<td align="center">12.9%</td>
<td align="center">15.2%</td>
</tr>
<tr>
<td align="center">Yingwuzhou Yangtze River Bridge</td>
<td align="center">53.5%</td>
<td align="center">31.0%</td>
<td align="center">7.0%</td>
<td align="center">8.5%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Second Bridge</td>
<td align="center">45.8%</td>
<td align="center">36.1%</td>
<td align="center">13.3%</td>
<td align="center">4.8%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Bridge</td>
<td align="center">58.1%</td>
<td align="center">30.2%</td>
<td align="center">7.0%</td>
<td align="center">4.7%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Tunnel</td>
<td align="center">62.7%</td>
<td align="center">15.3%</td>
<td align="center">18.6%</td>
<td align="center">3.4%</td>
</tr>
<tr>
<td align="center">Wuhan Yangtze River Highway and Railway Tunnel</td>
<td align="center">67.8%</td>
<td align="center">28.6%</td>
<td align="center">3.6%</td>
<td align="center">0.0%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In contrast to the peripheral areas of Wuhan, the central areas have a dense bus network and an extensive array of public transportation routes, providing residents with diverse travel options, so driving is frequently not the most cost-effective and convenient mode of transportation. In the central areas of Wuhan, when there is a high degree of substitutability between public transportation and driving, the carbon reduction potential of the river-crossing vehicle passages tends to decrease. This phenomenon is observed in cases such as the Wuhan Yangtze River Highway and Railway Tunnel, which serves as a shared tunnel for vehicles and the Wuhan Metro Line 7, resulting in the lowest <inline-formula id="inf122">
<mml:math id="m130">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value among the eight vehicle passages across the Yangtze River. Furthermore, the Wuhan Yangtze River Second Bridge is located on the north side of the Wuhan Yangtze River Highway and Railway Tunnel, while the Wuhan Yangtze River Tunnel is situated on its south side, both within a straight-line distance of 2&#xa0;km. The high degree of substitutability between these three passages results in the Wuhan Yangtze River Highway and Railway Tunnel having the lowest traffic flow among the eight vehicle passages across the Yangtze River.</p>
<p>The analysis of <xref ref-type="table" rid="T4">Tables 4</xref>, <xref ref-type="table" rid="T5">5</xref>; <xref ref-type="fig" rid="F16">Figures 16A,B</xref> indicates that the river-crossing passages in the peripheral areas of Wuhan exhibit significantly higher carbon reduction potential compared to those in the central areas. By visualizing the data, we found that the analysis reveals a greater disparity in the carbon reduction potential of river-crossing passages between the initial critical scenario and the final critical scenario in the central area of Wuhan compared to the peripheral area. For instance, in the peripheral area of Wuhan, the <inline-formula id="inf123">
<mml:math id="m131">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of the Baishazhou Bridge is 27.1% in the initial critical scenario, and 22.2% in the final critical scenario, the difference between the two is only 4.9 percentage points, as well as the <inline-formula id="inf124">
<mml:math id="m132">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of the Yangsigang Yangtze River Bridge is 16.7% in the initial critical scenario, and 15.3% in the final critical scenario, the difference between the two is even only 1.4 percentage points. In contrast, the central area of Wuhan exhibits substantial variations in the carbon reduction potential. The <inline-formula id="inf125">
<mml:math id="m133">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of the Wuhan Yangtze River Tunnel is 21.6% in the initial critical scenario, and 3.4% in the final critical scenario, the difference between the two is up to 18.2 percentage points, as well as the <inline-formula id="inf126">
<mml:math id="m134">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value of the Wuhan Yangtze River Second Bridge is 17.8% in the initial critical scenario, and 4.8% in the final critical scenario, the difference between the two is also up to 13 percentage points. The above disparity shows that in the peripheral area of Wuhan, even if the residents&#x2019; maximum acceptable connection, detour and transfer strength for public transportation travel are significantly increased, the carbon reduction potential of cross-river transportation still cannot be unlocked to a large extent, so it is necessary to consider adding public transportation lines across Yangtze River to improve the feasibility of public transportation travel for residents. Conversely, in the central area of Wuhan, the carbon reduction potential of cross-river transportation can be greatly unlocked after the residents&#x2019; maximum acceptable connection, detour and transfer strength for public transportation travel is increased, so in the central area of Wuhan, the main focus should be on optimizing the existing public transportation system and related infrastructure, and encouraging more residents to travel by public transportation by improving the urban travel environment.</p>
<p>Although there is a large difference in the carbon reduction potential of the river-crossing passages in Wuhan, it does not mean that the river-crossing passage with a larger difference of carbon-reducing potential before and after the critical scenario change has a greater actual unlocking of carbon reduction potential, the reason is that the number of traffic flows of different river-crossing passages are completely different, the river-crossing passage with a large difference in carbon reduction potential may have a small amount of traffic flows, and conversely, the river-crossing passage with a small difference in carbon reduction potential may have a large amount of traffic flows. Therefore, in order to compare the relative size of the actual carbon reduction potential can be unlocked of each river-crossing passage in Wuhan after considering the weight of the number of traffic flows, it is defined as the weighted comparable value of the carbon reduction potential of the urban river-crossing passage, and the calculation formula can be expressed as <xref ref-type="disp-formula" rid="e9">Equation 9</xref>:<disp-formula id="e9">
<mml:math id="m135">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">W</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mi mathvariant="bold-italic">f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mi mathvariant="bold-italic">f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mn mathvariant="bold">100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <inline-formula id="inf127">
<mml:math id="m136">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the weighted comparable value of the carbon reduction potential of the <inline-formula id="inf128">
<mml:math id="m137">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th river-crossing passage, <inline-formula id="inf129">
<mml:math id="m138">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents its number of traffic flows, <inline-formula id="inf130">
<mml:math id="m139">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the product of the carbon reduction potential value of the <inline-formula id="inf131">
<mml:math id="m140">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th river-crossing passage and its number of traffic flows, and <inline-formula id="inf132">
<mml:math id="m141">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the total number of river-crossing passages participating in the comparison.</p>
<p>
<inline-formula id="inf133">
<mml:math id="m142">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reflects the proportion of the actual carbon reduction potential can be unlocked of the <inline-formula id="inf134">
<mml:math id="m143">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-th river-crossing passage in all the compared river-crossing passages, thus it is possible to intuitively compare the relative amount of actual carbon reduction potential can be unlocked of different river-crossing passages in the city, so as to generally judge the necessity and urgency of taking measures to increase the public transportation volume related to each river-crossing passage.</p>
<p>
<xref ref-type="fig" rid="F17">Figure 17</xref> shows the WCV values of the eight vehicle passages across Yangtze River in the urban area of Wuhan in the initial critical scenario and final critical scenario. The WCV values of Yingwuzhou Yangtze River Bridge and Erqi Yangtze River Bridge are obviously on the high side in the initial critical scenario and the final critical scenario. Yingwuzhou Yangtze River Bridge is the most convenient urban expressway from the south of Wuchang to Hanyang and Hankou and is also an important part of the Second Ring Road of Wuhan, its traffic volume is much larger than the other seven vehicle passages across Yangtze River in the urban area of Wuhan, and there is a lack of public transportation in this direction, taking the Wuhan Metro line 4 across Yangtze River to Hankou requires multiple transfers, which consumes much more time than driving. The Erqi Yangtze River Bridge is also a part of the Second Ring Road of Wuhan, and it is also the urban expressway across Yangtze River at the northernmost point of the urban area of Wuhan, since the Wuhan Yangtze River Second Bridge which is closer to the city center has a diversion effect on it, the traffic volume of Erqi Yangtze River Bridge is smaller than that of the Yingwuzhou Yangtze River Bridge, but its <inline-formula id="inf135">
<mml:math id="m144">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value is higher than that of the Yingwuzhou Yangtze River Bridge in both the initial critical scenario and the final critical scenario, so the <inline-formula id="inf136">
<mml:math id="m145">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value is closer to that of the Yingwuzhou Yangtze River Bridge in the above two scenarios. Different from the Yingwuzhou Yangtze River Bridge and the Erqi Yangtze River Bridge, although the <inline-formula id="inf137">
<mml:math id="m146">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values of the Baishazhou Bridge and the Yangsigang Yangtze River Bridge are higher, but the traffic volume is smaller due to their longer distances from the city center, so the <inline-formula id="inf138">
<mml:math id="m147">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> values are instead lower than those of some river-crossing passages in the central area of Wuhan. However, the Wuhan Yangtze River Bridge, the Wuhan Yangtze River Second Bridge, the Wuhan Yangtze River Tunnel, and the Wuhan Yangtze River Highway and Railway Tunnel located in the core area of Wuhan have low <inline-formula id="inf139">
<mml:math id="m148">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values, and because of their dense distribution, they are highly substitutable to each other, resulting in a small traffic volume and a generally lower <inline-formula id="inf140">
<mml:math id="m149">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value.</p>
<p>The Yingwuzhou Yangtze River Bridge and the Erqi Yangtze River Bridge are both situated on the Second Ring Road of Wuhan, which serves as the boundary between the central and peripheral areas of the city (&#x201c;As of 24 November 2024, <xref ref-type="bibr" rid="B122">Wuhan Planning Network - Wuhan, 2019</xref>&#x201d;). Surprisingly, it is observed that the river-crossing passages in Wuhan with the highest WCV values are not located in the urban center or the periphery but in the critical area that lies between these two regions. This critical area exhibits a distinct characteristic of high demand for crossing the Yangtze River, while facing a lack of adequate public transportation routes. Therefore, implementing measures to enhance the feasibility of public transportation across the Yangtze River in this critical area becomes crucial to unlock the carbon reduction potential of urban cross-river transportation in Wuhan. This critical area encompasses the locations where Wuhan Metro lines 11 and 12 cross the Yangtze River three times. However, these lines are currently under construction and not yet operational. It is anticipated that unlocking the carbon reduction potential of Wuhan&#x2019;s cross-river transportation will be further enhanced upon their completion and opening.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>This study&#x2019;s analysis of Wuhan&#x2019;s urban transportation carbon reduction potential offers valuable insights for cities with similar challenges. Wuhan&#x2019;s cross-river transportation issues highlight the importance of targeted interventions to address geographic constraints. Aligned with Sustainable Development Goal 11.2 (SDG 11.2) - &#x201c;By 2030, provide access to safe, affordable, accessible and sustainable transport systems for all, improving road safety, notably by expanding public transport&#x201d; - this research offers globally applicable solutions. Strategies such as enhancing subway connectivity and reducing transfer barriers, which have proven effective in unlocking low-carbon travel potential, could be equally applicable to other cities confronting natural or infrastructural bottlenecks, such as Istanbul or Bangkok.</p>
<p>The &#x201c;Connection-Detour-Transfer (CDT)&#x201d; dynamic assessment framework proposed in this study emphasizes the necessity of understanding local travel behaviors and preferences. By identifying key thresholds for connection, detour, and transfer, city planners can focus on high-impact interventions, ensuring efficient resource allocation and maximizing carbon reduction outcomes. This is particularly relevant for cities with limited budgets, where prioritizing investments in critical corridors or high-demand zones can yield substantial benefits.</p>
<p>Additionally, the methodology&#x2019;s reliance on basic OD survey data makes it accessible and applicable to cities in low-data environments, such as those in developing regions. Wuhan&#x2019;s experience further illustrates how optimizing public transit systems and focusing on critical transit corridors can simultaneously address local transportation challenges and align with broader global sustainability goals.</p>
<p>In conclusion, Wuhan serves as a representative case for other cities aiming to transition to low-carbon transportation systems, further aligning with the SDG 11.2 &#x2013; &#x201c;Make cities and human settlements inclusive, safe, resilient and sustainable.&#x201d;. Its approach to identifying and unlocking urban transportation carbon reduction potential offers a replicable model that can inform policy and planning in diverse urban contexts, contributing to global climate change mitigation efforts.</p>
</sec>
<sec id="s6">
<title>Conclusion and outlook</title>
<p>The evaluation method of urban transportation carbon reduction potential proposed in this study is focuses on the identification of potential non-low-carbon travelers who may be conformed to low-carbon travel, and its proportion in the total travelers is defined as the carbon reduction potential of urban transportation, then the trend of the variation of indicator values with the maximum acceptable connection, detour, and transfer strength values of urban residents for public transportation travel is analyzed and the relationship curve is fitted, and it is revealed that the fitting curve presents an inverse &#x201c;S&#x201d; shape, thus the variation trend is divided into &#x201c;stable zone&#x201d;, &#x201c;unlocking zone&#x201d; and &#x201c;re-stable zone.&#x201d; The &#x201c;unlocking zone&#x201d; is particularly critical, as it represents the phase where small improvements in transit conditions lead to rapid increases in carbon reduction potential. The most significant innovative contribution of this study lies in breaking through the traditional static evaluation paradigm by pioneering the dynamic evaluation framework of &#x201c;Connection-Detour-Transfer (CDT),&#x201d; achieving triple breakthroughs in threshold quantification, spatial analysis, and policy adaptation on both theoretical and practical levels. Based on the CDT dynamic evaluation framework, threshold ranges for connection, detour, and transfer intensities corresponding to the &#x201c;unlocking zone&#x201d; have been determined. This enables a quantitative assessment of which intensity of measures can trigger the rapid unlocking of urban transportation&#x2019;s carbon reduction potential and which intensity will halt this rapid unlocking. Measures to improve public transportation travel conditions are mainly classified into two categories, one is mainly to increase residents&#x2019; maximum acceptable connection, detour, and transfer strength for public transportation travel, and the other is mainly to reduce the actual connection, detour, and transfer strength of residents&#x2019; public transportation travel. The former includes improving the urban slow-moving traffic environment, optimizing the public transportation riding experience, and improving the convenience of public transportation transfers, etc., while the latter includes adding new public transportation lines, improving public transportation operation plans, and building new public transportation facilities, etc. The implementation of the above measures is based on a large amount of cost input, insufficient cost input cannot obtain expected benefits, and excessive cost input may not be able to obtain matching benefits, while the evaluation method proposed in this study can clarify where the cost input of measures to improve public transportation travel conditions must start and where it can end, this will help city managers formulate precise transportation policies and maximize the unlocking of urban transportation carbon reduction potential at the lowest marginal cost.</p>
<p>This study applied this method to evaluate the carbon reduction potential of cross-river transportation in Wuhan, and found that MCS &#x3d; 1.05, MDS &#x3d; 0.99, and MTS &#x3d; 1 was the initial critical value of the carbon reduction potential unlocking zone of cross-river transportation, and MCS &#x3d; 2.14, MDS &#x3d; 1.29, and MTS &#x3d; 3 was the final critical value of the carbon reduction potential unlocking zone of cross-river transportation, the carbon reduction potential values corresponding to the two are 19.1% and 9.5% respectively. This threshold system can precisely determine the initiation boundary for policy interventions, thereby avoiding inefficient investments. To effectively unlock the carbon reduction potential of Wuhan&#x2019;s cross-river transportation, the acceptable connection intensity threshold for residents&#x2019; cross-river public transport trips must be higher than that for non-cross-river trips. Moreover, when residents&#x2019; acceptable detour intensity threshold for public transport increases, the carbon reduction potential of cross-river transportation will unlock more rapidly compared to non-cross-river transportation. Additionally, the strict &#x201c;zero transfer&#x201d; requirement for cross-river public transport trips does not further enhance its carbon reduction potential, which differs from the situation for non-cross-river trips. By evaluating the carbon reduction potential of Wuhan&#x2019;s major vehicular corridors crossing the Yangtze River, the study identified distinct spatial hierarchies&#x2014;specifically, the peripheral areas of the city exhibit significantly higher carbon reduction potential than the central area, with the differences between the two being more pronounced under the final critical scenario than the initial one. Furthermore, when accounting for the weighted traffic flows of different cross-river corridors, it was found that the critical zone between Wuhan&#x2019;s central and peripheral areas actually possesses the highest unlockable carbon reduction potential, making it the area most urgently in need of improved public transportation feasibility and convenience. In addition, this study responds in depth to the core demands of the United Nations Sustainable Development Goal (SDG11.2), providing a theoretical foundation for constructing an inclusive, safe, and sustainable transportation system and developing a dedicated potential evaluation template and policy simulator for river network cities.</p>
<p>The &#x201c;Connection-Detour-Transfer&#x201d; evaluation method proposed in this study currently focuses primarily on the impact of endogenous constraints within the transportation system to assess the carbon reduction potential of urban transportation. Although it effectively analyzes the interactive mechanisms between travel behavior and infrastructure, it still has its limitations. Residents&#x2019; willingness to choose public transport is often influenced by various factors, including exogenous variables such as social development, industrial layout, economic level, and population structure. These factors lie beyond the realm of urban transportation and cannot be addressed solely by improving public transport conditions; therefore, they are not considered in the scope of this study. In addition, factors such as the cost comparison of different travel modes, the experience of riding public transport, urban road congestion, and even the meteorological characteristics of the city also affect residents&#x2019; willingness to use public transport. Taking these factors into comprehensive consideration and establishing a more holistic evaluation system for the carbon reduction potential of urban transportation will be the focus of our future work. To enhance the practicality of the proposed method, future work will leverage tools such as ArcGIS and Python to automate and visualize the evaluation system. This will enable non-experts to perform macro-level evaluations through simplified operations, thereby increasing accessibility for local policymakers. Furthermore, comparative studies across different types of cities will be conducted to disseminate the research findings and offer tailored recommendations for carbon reduction strategies in varied urban contexts.</p>
<p>In conclusion, the proposed evaluation framework serves as a strategic tool for policymakers to unlock urban transportation carbon reduction potential. By focusing on key zones, prioritizing resource-efficient measures, and aligning policies with broader sustainability goals, cities can transition toward low-carbon mobility systems while addressing local transportation challenges.</p>
<p>The evaluation method proposed in this study, termed &#x201c;connect-detour-transfer,&#x201d; primarily focuses on the impact of endogenous constraints within the transportation system to assess the carbon reduction potential of urban transportation. This serves as a basis for urban transportation planners and managers to implement direct transportation measures, encouraging residents to shift from driving to public transportation, thereby reducing the overall carbon emissions of urban transport. When discussing the factors influencing public transportation willingness, it is essential to consider certain external factors, including socio-economic conditions, industrial layouts, population structures, travel costs, and road congestion. These factors may also influence the residents&#x2019; preference for public transportation. However, the impact of these external factors on residents&#x2019; willingness to use public transportation is often indirect, and the effectiveness of direct transportation measures taken by urban planners and managers in addressing these issues is limited; hence, they are not considered within the scope of this study.</p>
<p>Therefore, it is emphasized that the evaluation framework includes endogenous factors directly related to urban transportation systems and residents&#x2019; willingness to use public transport, ensuring that the evaluation results correspond to policy guidance. Our next focus will be to compare and analyze the effects of various transportation measures in facilitating the unlocking of urban transportation carbon reduction potential areas, as well as to determine the relationship between the costs of these measures and the threshold of unlocking areas. Moreover, we plan to develop the automation and visualization of this assessment system based on ArcGIS and Python. This will assist numerous grassroots managers lacking professional skills by simplifying macro assessments of urban transportation&#x2019;s carbon reduction potential. Thus, the implementation of this evaluation system can be widely adopted across multiple cities and provide a basis for decision-making regarding transportation carbon reduction targets in various regions.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s14">Supplementary Material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="ethics-statement" id="s8">
<title>Ethics statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent from the [patients/participants OR patients/participants legal guardian/next of kin] was not required to participate in this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="s9">
<title>Author contributions</title>
<p>RP: Conceptualization, Funding acquisition, Methodology, Resources, Supervision, Writing &#x2013; original draft. KD: Methodology, Data curation, Formal Analysis, Investigation, Project administration, Software, Validation, Visualization, Writing &#x2013; review and editing. XL: Data curation, Investigation, Validation, Writing &#x2013; original draft. KY: Data curation, Investigation, Validation, Visualization, Writing &#x2013; original draft. XZ: Data curation, Investigation, Visualization, Writing &#x2013; original draft. WZ: Project administration, Software, Validation, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s10">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was funded by Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University (Grant K202407), Philosophy and Social Sciences Research Project of Hubei Provincial Department of Education (Grant 24D048), Wuhan Social Science Fund (Post-Funding Program)(Grant 2023004), Hubei Provincial Social Science Fund (Post-Funding Program)(Grant HBSKJJ20243300).</p>
</sec>
<sec sec-type="COI-statement" id="s11">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s12">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s13">
<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>
<sec id="s14">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2025.1540620/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2025.1540620/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Supplementaryfile1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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