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Analysis of a spatial point pattern in relation to a reference point

Author

Listed:
  • Yukio Sadahiro

    (The University of Tokyo)

  • Hidetaka Matsumoto

    (YAMAP Inc.)

Abstract

This paper develops a new method for analyzing the relationship between a set of points and another single point, the latter of which we call a reference point. This relationship has been discussed in various academic fields, such as geography, criminology, and epidemiology. Analytical methods, however, have not yet been fully developed, which has motivated this paper. Our method reveals how the number of points varies by the distance from a reference point and by direction. It visualizes the spatial pattern of points in relation to a reference point, describes the point pattern using mathematical models, and statistically evaluates the difference between two sets of points. We applied the proposed method to analyze the spatial pattern of the climbers of Mt. Azuma, Japan. The result gave us useful and interesting findings, indicating the method’s soundness.

Suggested Citation

  • Yukio Sadahiro & Hidetaka Matsumoto, 2024. "Analysis of a spatial point pattern in relation to a reference point," Journal of Geographical Systems, Springer, vol. 26(3), pages 351-373, July.
    • Handle: RePEc:kap:jgeosy:v:26:y:2024:i:3:d:10.1007_s10109-023-00434-9
    DOI: 10.1007/s10109-023-00434-9
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    References listed on IDEAS

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    1. Brender, J.D. & Maantay, J.A. & Chakraborty, J., 2011. "Residential proximity to environmental hazards and adverse health outcomes," American Journal of Public Health, American Public Health Association, vol. 101(SUPPL. 1), pages 37-52.
    2. Jin Zhang & Yuehua Wu, 2002. "Beta Approximation to the Distribution of Kolmogorov-Smirnov Statistic," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(3), pages 577-584, September.
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    More about this item

    Keywords

    Point pattern; Reference point; Directional variation; Distance; Visualization;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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