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Statistical methods for analyzing the distribution of spatial objects in relation to a surface

Author

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  • Yukio Sadahiro

    (Center for Spatial Information Science, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan (e-mail: sada@ua.t.u-tokyo.ac.jp))

Abstract

. This paper develops statistical methods for analyzing the distribution of spatial objects—points, convex polygons, and line segments—in relation to a surface. We propose statistics for measuring the relationship between the distribution of these objects and a surface and derive their expectations and variances under the null hypothesis that the objects are independently and randomly distributed. The statistics are approximately distributed according to the normal distribution under the null hypothesis, which enables us to test the significance of the spatial relationships statistically. Using the proposed methods, we empirically analyze the distribution of convenience stores in relation to the distribution of population in a suburb of Osaka, Japan. Some empirical findings are shown.

Suggested Citation

  • Yukio Sadahiro, 1999. "Statistical methods for analyzing the distribution of spatial objects in relation to a surface," Journal of Geographical Systems, Springer, vol. 1(2), pages 107-136, July.
    • Handle: RePEc:kap:jgeosy:v:1:y:1999:i:2:d:10.1007_s101090050008
    DOI: 10.1007/s101090050008
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    Cited by:

    1. Jan Strohmandl & Miroslav Tomek & Vieroslav Molnár & Júlia Mihoková Jakubčeková & Gabriel Fedorko & Silvia Maláková, 2020. "Using Travel Times for Optimization Numbers of Medical Rescue Service Points—Case Study from Slovakia," Sustainability, MDPI, vol. 13(1), pages 1-12, December.

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