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Maintenance of multilocus variability under strong stabilizing selection |
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| Authors: | Sergey Gavrilets Alan Hastings |
| Affiliation: | (1) Division of Environmental Studies, University of California, 95616 Davis, CA, USA;(2) N.I.Vavilov Institute of General Genetics, 3, Gubkin St., 117809 GSP-1, B-333 Moscow, Russia;(3) Institute for Theoretical Dynamics, University of California, 95616 Davis, CA, USA;(4) Center for Population Biology, University of California, 95616 Davis, CA, USA |
| Abstract: | We present exact conditions for stability of monomorphic equilibria in a general multilocus multiallele system and of specific polymorphic equilibria in general one- and two-locus multiallele systems. We show how these exact results on one- and two-locus systems can be used in approximate analysis of polymorphic equilibria in multilocus systems under selection strong relative to recombination. We determine conditions for existence and stability of polymorphic equilibria in specific models of quadratic stabilizing selection on additive polygenic traits. |
| Keywords: | Stabilizing selection Stability of equilibria |
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