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Topology-based proximities in spatial systems

Author

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  • Roderic Bera
  • Christophe Claramunt

Abstract

This paper introduces several topology-based measures that characterise proximity relationships between regions in a spatial system. These measures are derived from a relative adjacency operator that is computed from the dual graph of a spatial system. The operator is flexible as the respective importance of neighbouring and outlying regions can be parameterised. Given a reference region in a spatial system, we also show how the relative adjacency supports the analysis of the relative distribution of other regions, and how these regions are clustered with respect to that reference region. Extensions of the relative adjacency integrate additional spatial and thematic criteria. The properties of the relative adjacency are illustrated by means of reference examples and a case study. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Roderic Bera & Christophe Claramunt, 2003. "Topology-based proximities in spatial systems," Journal of Geographical Systems, Springer, vol. 5(4), pages 353-379, December.
    • Handle: RePEc:kap:jgeosy:v:5:y:2003:i:4:p:353-379
    DOI: 10.1007/s10109-003-0115-y
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    Cited by:

    1. Liang Huang & Xinyan Zhu & Xinyue Ye & Wei Guo & Jiye Wang, 2016. "Characterizing street hierarchies through network analysis and large-scale taxi traffic flow: a case study of Wuhan, China," Environment and Planning B, , vol. 43(2), pages 276-296, March.
    2. Rolf Grütter, 2019. "A framework for assisted proximity analysis in feature data," Journal of Geographical Systems, Springer, vol. 21(3), pages 367-394, September.

    More about this item

    Keywords

    Spatial reasoning; topological proximity; relative adjacency; graph analysis; C0; C21; C60;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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