title: Multiallelic polymorphism maintained under unpredictable migration and selection.
abstract: The question of protected polymorphism is addressed in terms of dynamic maintenance within a set of constraints defining polymorphism. Stricto sensu, the maintenance of polymorphism is identified with the set of states, called the C-viability kernel, from which there exists at least one trajectory remaining in the set of constraints. Protected polymorphism under time-dependent selection and migration is re-formulated as a C-viability problem. The C-viability kernel is computed under conditions of time-dependent unpredictable migration and selection, from the case of two demes and two alleles up to that of three demes and three alleles. It delineates the trade-off between isolation and openness to migration combined with relative fitness values. The problem of protected polymorphism in time-varying conditions is then answered in its full dimensionality.
authors: Institut national d'études démographiques, 133, bld Davout, 75980 Paris cedex 20, France. bonneuil@ined.fr
authors: Noël
authors: N
authors: Bonneuil
mesh_terms: D000465:Algorithms; D000483:Alleles; D000818:Animals; D008957:Models, Genetic; D011110:Polymorphism, Genetic; D011157:Population Dynamics; D012641:Selection, Genetic