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Biometrika 1968 55(1):189-198; doi:10.1093/biomet/55.1.189
© 1968 by Biometrika Trust
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Stochastic birth, death and migration processes for spatially distributed populations

NORMAN T. J. BAILEY*

Cornell University Graduate School of Medical Sciences and Sloan-Kettering Institute

*Present address: Woorld Health Organization, Genova.

Stochastic models are investigated for collections of populations which are distributed spatially, either at discrete points on a line or at the nodes of a square or cubic lattice, and which are subject to birth, death, and migration to or from neighbouring populations. Explicit expressions are given for the stochastic means. A general indication is provided for the calculation of variances and covariances, with explicit values for some special cases.


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