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    Evaluation of a spatial relationship by the concept of intrinsic spatial distance

    Access Status
    Fulltext not available
    Authors
    Leung, Yee-Hong
    Meng, D.
    Xu, Z.
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Leung, Y. and Meng, D. and Xu, Z. 2013. Evaluation of a spatial relationship by the concept of intrinsic spatial distance. Geographical Analysis. 45 (4): pp. 380-400.
    Source Title
    Geographical Analysis
    DOI
    10.1111/gean.12021
    ISSN
    0016-7363
    School
    Department of Electrical and Computer Engineering
    URI
    http://hdl.handle.net/20.500.11937/57699
    Collection
    • Curtin Research Publications
    Abstract

    We propose the concept of intrinsic spatial distance (ISD) for the study of a spatial relationship between any two points in space. ISD is a distance measure that takes into account the separation of two points with respect to their physical and attribute closeness. We construct an algorithm to implement this concept as an ISD measurement. Based on the ISD concept, two points in space are related through a transitional path linking one to the other. As an ISD measurement decreases, the spatial relationship between two points becomes increasingly stronger. We argue theoretically and demonstrate empirically that the ISD concept is not predisposed in favor of the first law of geography, but directly considers variance of nearness in physical distance and attribute distance to derive the extent to which two points are spatially associated. Specifically, in single attribute cases, the information uncovered by an ISD measurement is more elaborate than that revealed by Moran's I, local Moran's I, and a semivariogram, giving a meticulous account of relatedness in both local and global contexts. The ISD concept is also sufficiently general to be used to study multiple attributes of relationships. © 2013 The Ohio State University.

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