Statistical methods for analyzing the distribution of spatial objects in relation to a surface |
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| Authors: | Yukio Sadahiro |
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| Institution: | (1) 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), JP |
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| 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. |
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| Keywords: | : Statistical analysis spatial objects surface distribution |
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