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Article Dans Une Revue Mathematical Population Studies Année : 2017

Modeling distances between humans using Taylor’s law and geometric probability

Résumé

Taylor's law states that variance of the distribution of distance between two randomly chosen individuals is a power function of the mean distance. It applies to the distances between two randomly chosen points in various geometric shapes, subject to a few conditions. In Réunion Island and France, at some spatial scales, the empirical frequency distributions of inter-individual distances are predicted accurately by the theoretical frequency distributions of inter-point distances in models of geometric probability under a uniform distribution of points. When these models fail to predict the empirical frequency distributions of inter-individual distances, they provide baselines against which to highlight the spatial distribution of population concentrations.
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Dates et versions

hal-02082211 , version 1 (28-03-2019)

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Joël Cohen, Daniel Courgeau. Modeling distances between humans using Taylor’s law and geometric probability. Mathematical Population Studies, 2017, 24 (4), pp.197-218. ⟨10.1080/08898480.2017.1289049⟩. ⟨hal-02082211⟩
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