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Genetics. Apr 1980; 94(4): 1065–1084.
PMCID: PMC1214179

Selection-Migration Regimes Characterized by a Globally Stable Equilibrium

Abstract

The principle that a subdivided population subject to overdominance viability selection in each habitat will manifest a unique, globally attractng polymorphic equilibrium is posited. This follows as a corollary to the stronger principle that, if haploid selection or submultiplicative diploid selection (definition: the geometric mean of the homozygote viabilities is less than or equal to the heterozygote viability) is operating in each habitat,there is a unique, globally attracting stable equilibrium that may be monomorphic or polymorphic. These principles are proven for a broad spectrum of migration patterns. In all such migration selection systems, multiple fixation states cannot be simultaneously stable under submultiplicative viability regimes. Contrasting examples where submultiplicative viabilities are not in force are given.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.
  • Nagylaki T. Clines with variable migration. Genetics. 1976 Aug;83(4):867–886. [PMC free article] [PubMed]
  • Thomson G. The effect of a selected locus on linked neutral loci. Genetics. 1977 Apr;85(4):753–788. [PMC free article] [PubMed]

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