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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-5
February 2001

A comparison of spatial point process models in epidemiological applications


Jesper Møller


As pointed out in Richardson (2001) (for short, "SR"), point process models provide a natural setting in epidemiological applications. The aims of this contribution are to review the advantages and problems when using such models for aggregated data, compare the properties of different model classes, clarify some of the properties of these model classes in connection to epidemiological applications (which sometimes seem to have been misunderstood), propose some alternative models which are not covered in SR, and point out some open problems. The focus is on the particular model classes: the Heikkinen and Arjas (1998) models, log Gaussian Cox (LGC) processes (Møller et. al, 1998), and shot-noise G Cox (SNGC) processes (Brix, 1999). Poisson/gamma models (Daley and Vere-Jones, 1988; Wolpert and Ickstadt, 1998) are special cases of SNGC processes.

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This paper has now been published in Eds. P.J. Green, N.L. Hjort and S. Richardson, Oxford University Press, 264 - 268 (2003)