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Distance-based accessibility indices

Author

Listed:
  • Csató, László
Abstract
The paper attempts to develop a suitable accessibility index for networks where each link has a value such that a smaller number is preferred like distance, cost, or travel time. A measure called distance sum is characterized by three independent properties: anonymity, an appropriately chosen independence axiom, and dominance preservation, which requires that a node not far to any other is at least as accessible. We argue for the need of eliminating the independence property in certain applications. Therefore generalized distance sum, a family of accessibility indices, will be suggested. It is linear, considers the accessibility of vertices besides their distances and depends on a parameter in order to control its deviation from distance sum. Generalized distance sum is anonymous and satisfies dominance preservation if its parameter meets a sufficient condition. Two detailed examples demonstrate its ability to reflect the vulnerability of accessibility to link disruptions.

Suggested Citation

  • Csató, László, 2015. "Distance-based accessibility indices," Corvinus Economics Working Papers (CEWP) 2015/12, Corvinus University of Budapest.
    • Handle: RePEc:cvh:coecwp:2015/12
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    File URL: https://unipub.lib.uni-corvinus.hu/1986/
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    Cited by:

    1. Emerson Rico & Jomar Rabajante & Jerrold Tubay & Aileen Lapitan & Val Randolf Madrid, 2024. "A multi-objective site selection model for evacuation centers in Taguig City, Philippines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 120(9), pages 8303-8321, July.

    More about this item

    Keywords

    networks; geography; accessibility; distance sum; axiomatic approach;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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