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Optimal migration and dispersal behavior is considered from a theoretical point of view. It is considered as a problem of an optimal choice between alternatives, the outcomes of which are random variables. Models for optimal migration behavior have been worked out for the case where only the density functions of the distributions of survival for the two alternatives are given, and for the case where conditions at the time the choice has to be made are correlated with subsequent survival. The conditions for dominance between the two alternatives have been derived analytically. The predictions of the two models are discussed and compared to natural patterns of migration and dispersal.
Dan Cohen (Sun,) studied this question.