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

Yukio Sadahiro ()
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Yukio Sadahiro: The University of Tokyo

Journal of Geographical Systems, 2022, vol. 24, issue 2, No 6, 260 pages

Abstract: 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.

Keywords: Spatial point pattern; Spatial avoidance; Temporal avoidance; Statistical analysis (search for similar items in EconPapers)
JEL-codes: C60 C65 C69 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10109-022-00373-x

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