Equilibrium distributions for an open migration process

Author:

Whittle P.

Abstract

SummaryWe consider a system of colonies in which migration, immigration and emigration take place according to a fairly general rule. Necessary and sufficient conditions for equilibrium are given in the theorem of Section (3). The equilibrium distribution of colony numbers is determined by Equations (7) and (9); the colony sizes are thus statistically independent in equilibrium.Attention is also paid to the case where one colony becomes a “bottleneck” to circulation, when equilibrium changes character

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference2 articles.

1. Whittle P. (1967) Nonlinear migration processes. To appear in the Proceedings of the 36th Session of the International Statistical Institute.

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