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Decomposition of Repulsive Clusters in Complex Point Processes with Heterogeneous Components

1,2 and 1,2,*
1
State Key Laboratory of Resources and Environmental Information System, Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China
2
College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 101408, China
*
Author to whom correspondence should be addressed.
ISPRS Int. J. Geo-Inf. 2019, 8(8), 326; https://doi.org/10.3390/ijgi8080326
Received: 10 May 2019 / Revised: 24 June 2019 / Accepted: 24 July 2019 / Published: 26 July 2019
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PDF [7318 KB, uploaded 26 July 2019]
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Abstract

The decomposition of a point process is useful for the analysis of spatial patterns and in the discovery of potential mechanisms of geographic phenomena. However, when a local repulsive cluster is present in a complex heterogeneous point process, the traditional solution, which is based on clustering, may be invalid for decomposition because a repulsive pattern is not subject to a specific probability distribution function and the effects of aggregative and repulsive components may be counterbalanced. To solve this problem, this paper proposes a method of decomposing repulsive clusters in complex point processes with multiple heterogeneous components. A repulsive cluster is defined as a set of repulsive density-connected points that are separated by a certain distance at a small scale and aggregated at a large scale simultaneously. The H-function is used to identify repulsive clusters by determining the repulsive distance and extracting repulsive points for further clustering. Through simulation experiments based on three datasets, the proposed method has been shown to effectively perform repulsive cluster decomposition in heterogeneous point processes. A case study of the point of interest (POI) dataset in Beijing also indicates that the method can identify meaningful repulsive clusters from types of POIs that represent different service characteristics of shops in different local regions. View Full-Text
Keywords: decomposition of a point process; spatial heterogeneity; repulsive cluster; aggregative cluster; H-function decomposition of a point process; spatial heterogeneity; repulsive cluster; aggregative cluster; H-function
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Song, C.; Pei, T. Decomposition of Repulsive Clusters in Complex Point Processes with Heterogeneous Components. ISPRS Int. J. Geo-Inf. 2019, 8, 326.

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