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Measuring route diversity in spatial and spatial-temporal public transport networks

Author

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  • Li, Jin-Yang
  • Teng, Jing
  • Wang, Hui

Abstract

Route diversity is a pivotal metric for evaluating the redundancy of transportation networks, a fundamental aspect of system resilience. This study provides a comprehensive exploration of route diversity in multimodal public transport systems, specifically considering the unique characteristics of bus networks. Our research introduces a two-pronged approach to measuring route diversity within spatial public transport networks, delving into service-based and infrastructure-based perspectives. The former assesses redundancy against transit service disruptions by factoring in transit line overlaps, while the latter evaluates redundancy against infrastructure-related interruptions by considering overlapping road segments on which transit lines rely. In addition, the study advances by modelling public transport systems as multilayer spatial-temporal networks, integrating time-variable service frequency and travel time uncertainty, which enables us to derive route diversity for origin-destination (O-D) pairs across different time periods.

Suggested Citation

  • Li, Jin-Yang & Teng, Jing & Wang, Hui, 2024. "Measuring route diversity in spatial and spatial-temporal public transport networks," Transport Policy, Elsevier, vol. 146(C), pages 42-58.
  • Handle: RePEc:eee:trapol:v:146:y:2024:i:c:p:42-58
    DOI: 10.1016/j.tranpol.2023.11.008
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    1. Derrible, Sybil & Kennedy, Christopher, 2010. "The complexity and robustness of metro networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3678-3691.
    2. Joao Tiago Aparicio & Elisabete Arsenio & Francisco C. Santos & Rui Henriques, 2022. "LINES: muLtImodal traNsportation rEsilience analySis," Sustainability, MDPI, vol. 14(13), pages 1-20, June.
    3. Fumitaka Kurauchi & Nobuhiro Uno & Agachai Sumalee & Yumiko Seto, 2009. "Network Evaluation Based on Connectivity Vulnerability," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 637-649, Springer.
    4. Frappier, Alexis & Morency, Catherine & Trépanier, Martin, 2018. "Measuring the quality and diversity of transit alternatives," Transport Policy, Elsevier, vol. 61(C), pages 51-59.
    5. Chan, Ho-Yin & Chen, Anthony & Li, Guoyuan & Xu, Xiangdong & Lam, William, 2021. "Evaluating the value of new metro lines using route diversity measures: The case of Hong Kong's Mass Transit Railway system," Journal of Transport Geography, Elsevier, vol. 91(C).
    6. Ma, Zhiao & Yang, Xin & Wu, Jianjun & Chen, Anthony & Wei, Yun & Gao, Ziyou, 2022. "Measuring the resilience of an urban rail transit network: A multi-dimensional evaluation model," Transport Policy, Elsevier, vol. 129(C), pages 38-50.
    7. C. von Ferber & T. Holovatch & Yu. Holovatch & V. Palchykov, 2009. "Public transport networks: empirical analysis and modeling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 68(2), pages 261-275, March.
    8. Xu, Xiangdong & Chen, Anthony & Jansuwan, Sarawut & Yang, Chao & Ryu, Seungkyu, 2018. "Transportation network redundancy: Complementary measures and computational methods," Transportation Research Part B: Methodological, Elsevier, vol. 114(C), pages 68-85.
    9. Nadia M. Viljoen & Johan W. Joubert, 2018. "The Road most Travelled: The Impact of Urban Road Infrastructure on Supply Chain Network Vulnerability," Networks and Spatial Economics, Springer, vol. 18(1), pages 85-113, March.
    10. Pan, Shouzheng & Yan, Hai & He, Jia & He, Zhengbing, 2021. "Vulnerability and resilience of transportation systems: A recent literature review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    11. Xu, Zizhen & Chopra, Shauhrat S., 2022. "Network-based Assessment of Metro Infrastructure with a Spatial–temporal Resilience Cycle Framework," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    12. Bing-Feng Si & Ming Zhong & Hao-Zhi Zhang & Wen-Long Jin, 2010. "An improved Dial's algorithm for logit-based traffic assignment within a directed acyclic network," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(2), pages 123-137, January.
    13. Chen, Yong-Zhou & Li, Nan & He, Da-Ren, 2007. "A study on some urban bus transport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 747-754.
    14. Weichuan Yin & Yingqun Zhang, 2020. "Identification Method for Optimal Urban Bus Corridor Location," Sustainability, MDPI, vol. 12(17), pages 1-22, September.
    15. Hawas, Yaser E. & Hassan, Mohammad Nurul & Abulibdeh, Ammar, 2016. "A multi-criteria approach of assessing public transport accessibility at a strategic level," Journal of Transport Geography, Elsevier, vol. 57(C), pages 19-34.
    16. Jansuwan, Sarawut & Chen, Anthony & Xu, Xiangdong, 2021. "Analysis of freight transportation network redundancy: An application to Utah’s bi-modal network for transporting coal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 151(C), pages 154-171.
    17. Leiva, Carola & Muñoz, Juan Carlos & Giesen, Ricardo & Larrain, Homero, 2010. "Design of limited-stop services for an urban bus corridor with capacity constraints," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1186-1201, December.
    18. De Zhao & Wei Wang & Amber Woodburn & Megan S. Ryerson, 2017. "Isolating high-priority metro and feeder bus transfers using smart card data," Transportation, Springer, vol. 44(6), pages 1535-1554, November.
    19. Snelder, M. & van Zuylen, H.J. & Immers, L.H., 2012. "A framework for robustness analysis of road networks for short term variations in supply," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(5), pages 828-842.
    20. Chengpeng Wan & Zaili Yang & Di Zhang & Xinping Yan & Shiqi Fan, 2018. "Resilience in transportation systems: a systematic review and future directions," Transport Reviews, Taylor & Francis Journals, vol. 38(4), pages 479-498, July.
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    6. Iliopoulou, Christina & Makridis, Michail A. & Kouvelas, Anastasios, 2025. "Improving transit network resilience against disruptions through path redundancy," Socio-Economic Planning Sciences, Elsevier, vol. 100(C).
    7. Boura, Georgia & Ferguson, Neil S., 2024. "Incorporating geographic interdependencies into the resilience assessment of multimodal public transport networks," Journal of Transport Geography, Elsevier, vol. 118(C).

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