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A method for evaluating the degree of spatial and temporal avoidance in spatial point patterns

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  • Yukio Sadahiro

    (The University of Tokyo)

Abstract

This paper develops a new method for evaluating the degree of spatial and temporal avoidance in spatial point patterns. We consider point patterns that change over time, where points represent spatial objects that appear at certain locations, stay there for certain periods, and may finally disappear, such as buildings in cities, plants in fields, and birds' nests in forests. Spatial avoidance in this paper refers to the phenomenon that points appear in sparse spaces while points disappear in dense spaces. Spatial avoidance often leads to dispersed point patterns, which are observed in the distributions of drug stores, gas stations, and animal burrows. Temporal avoidance refers to the phenomenon that close points avoid the overlap of their lifetime. Temporal avoidance is found in the relationships between preys and predators, animal species that share the same water resources, and restaurants in shopping malls. The paper develops four measures to evaluate the spatial and temporal patterns of avoidance. Two measures consider the avoidance from a spatial perspective, while the other two focus on the temporal aspect of avoidance. To test the validity of the proposed method, this paper applies it to the analysis of the convenience stores in Shibuya-ku, Tokyo. The results indicated the proposed method's effectiveness and revealed the spatial and temporal patterns of avoidance of convenience stores that existing methods cannot detect.

Suggested Citation

  • Yukio Sadahiro, 2022. "A method for evaluating the degree of spatial and temporal avoidance in spatial point patterns," Journal of Geographical Systems, Springer, vol. 24(2), pages 241-260, April.
    • Handle: RePEc:kap:jgeosy:v:24:y:2022:i:2:d:10.1007_s10109-022-00373-x
    DOI: 10.1007/s10109-022-00373-x
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    References listed on IDEAS

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    More about this item

    Keywords

    Spatial point pattern; Spatial avoidance; Temporal avoidance; Statistical analysis;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

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