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The Emergence of Hierarchy in Transportation Networks

Author

Listed:
  • Bhanu Yerra
  • David Levinson

    (Nexus (Networks, Economics, and Urban Systems) Research Group, Department of Civil Engineering, University of Minnesota)

Abstract

A transportation network is a complex system that exhibits the properties of self-organization and emergence. Previous research in dynamics related to transportation networks focuses on traffic assignment or traffic management. This research concentrates on the dynamics of the orientation of major roads in a network and abstractly models these dynamics to understand the basic properties of transportation networks. A model is developed to capture the dynamics that leads to a hierarchical arrangement of roads for a given network structure and land use distribution. Localized investment rules - revenue produced by traffic on a link is invested for that link's own development - are employed. Under reasonable parameters, these investment rules, coupled with traveler behavior, and underlying network topology result in the emergence of a hierarchical pattern. Hypothetical networks subject to certain conditions are tested with this model to explore the network properties. Though hierarchies seem to be designed by planners and engineers, the results show that they are intrinsic properties of networks. Also, the results show that roads, specific routes with continuous attributes, are emergent properties of transportation networks.

Suggested Citation

  • Bhanu Yerra & David Levinson, 2005. "The Emergence of Hierarchy in Transportation Networks," Working Papers 200507, University of Minnesota: Nexus Research Group.
    • Handle: RePEc:nex:wpaper:emergence
    DOI: http://dx.doi.org/doi:10.1007/s00168-005-0230-4
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    File URL: http://hdl.handle.net/11299/179924
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    Cited by:

    1. David Levinson & Ramachandra Karamalaputi, 2003. "Predicting the Construction of New Highway Links," Working Papers 200305, University of Minnesota: Nexus Research Group.
    2. Alexander Erath & Michael Löchl & Kay Axhausen, 2009. "Graph-Theoretical Analysis of the Swiss Road and Railway Networks Over Time," Networks and Spatial Economics, Springer, vol. 9(3), pages 379-400, September.
    3. Ding, Rui & Ujang, Norsidah & Hamid, Hussain bin & Manan, Mohd Shahrudin Abd & Li, Rong & Wu, Jianjun, 2017. "Heuristic urban transportation network design method, a multilayer coevolution approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 71-83.
    4. Jiayu Ding & Yuewei Wang & Chaoyue Li, 2024. "A Dual-Layer Complex Network-Based Quantitative Flood Vulnerability Assessment Method of Transportation Systems," Land, MDPI, vol. 13(6), pages 1-27, May.
    5. Lei Zhang & David Levinson, 2004. "An Agent-Based Approach to Travel Demand Modeling: An Exploratory Analysis," Working Papers 200405, University of Minnesota: Nexus Research Group.
    6. Mengying Cui & David Levinson, 2015. "Accessibility and the Ring of Unreliability," Working Papers 000133, University of Minnesota: Nexus Research Group.
    7. Rui Ding, 2019. "The Complex Network Theory-Based Urban Land-Use and Transport Interaction Studies," Complexity, Hindawi, vol. 2019, pages 1-14, June.
    8. Rui Ding & Norsidah Ujang & Hussain Bin Hamid & Mohd Shahrudin Abd Manan & Rong Li & Safwan Subhi Mousa Albadareen & Ashkan Nochian & Jianjun Wu, 2019. "Application of Complex Networks Theory in Urban Traffic Network Researches," Networks and Spatial Economics, Springer, vol. 19(4), pages 1281-1317, December.
    9. Michael Iacono & David Levinson & Ahmed El-Geneidy, 2007. "Models of Transportation and Land Use Change: A Guide to the Territory," Working Papers 200805, University of Minnesota: Nexus Research Group.
    10. Wang, Ziyulong & Huang, Ketong & Massobrio, Renzo & Bombelli, Alessandro & Cats, Oded, 2024. "Quantification and comparison of hierarchy in Public Transport Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    11. Stephen Marshall & Jorge Gil & Karl Kropf & Martin Tomko & Lucas Figueiredo, 2018. "Street Network Studies: from Networks to Models and their Representations," Networks and Spatial Economics, Springer, vol. 18(3), pages 735-749, September.
    12. Zhaoxuan Liu & Lei Nie & Guoqiang Xu & Yanhua Li & Xiangmin Guan, 2023. "Multi-Objective Design of UAS Air Route Network Based on a Hierarchical Location–Allocation Model," Sustainability, MDPI, vol. 15(23), pages 1-23, December.
    13. Arthur Huang & David Levinson, 2009. "Modeling phase changes of road networks," Working Papers 000061, University of Minnesota: Nexus Research Group.
    14. A. V. Martynenko, 2021. "Modeling the morphology of the intercity road network," Regional Research of Russia, Springer, vol. 11(1), pages 9-17, January.
    15. David Levinson & Feng Xie & Norah Oca, 2012. "Forecasting and Evaluating Network Growth," Networks and Spatial Economics, Springer, vol. 12(2), pages 239-262, June.
    16. Feng Xie & David Levinson, 2009. "Jurisdictional Control and Network Growth," Networks and Spatial Economics, Springer, vol. 9(3), pages 459-483, September.
    17. Weber, Joe, 2018. "Route change on the American freeway system," Journal of Transport Geography, Elsevier, vol. 67(C), pages 12-23.
    18. Boeing, Geoff, 2017. "Methods and Measures for Analyzing Complex Street Networks and Urban Form," SocArXiv 93h82, Center for Open Science.
    19. Levinson, David & Xie, Feng, 2011. "Does First Last? The Existence and Extent of First Mover Advantages on Spatial Networks," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 4(2), pages 47-69.
    20. David Levinson, 2004. "The Evolution of Transport Networks," Working Papers 200510, University of Minnesota: Nexus Research Group.
    21. Wenling Chen & David Levinson, 2006. "Effectiveness of Learning Transportation Network Growth Through Simulation," Working Papers 200601, University of Minnesota: Nexus Research Group.

    More about this item

    JEL classification:

    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General
    • R42 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government and Private Investment Analysis; Road Maintenance; Transportation Planning
    • R48 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government Pricing and Policy
    • D10 - Microeconomics - - Household Behavior - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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