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A multilocus-multiallele analysis of frequency-dependent selection induced by intraspecific competition
1Department of Mathematics, University of Vienna, Nordbergstrasse 15, UZA 4, 1090, Wien, Austria. kristan.schneider@univie.ac.at
This study reveals that frequency-dependent selection maintains genetic variation, with no more than two alleles per locus at equilibrium. We provide conditions for maintaining multilocus polymorphism and explicit formulas for polymorphic loci.
Area of Science:
- Population Genetics
- Evolutionary Biology
- Quantitative Genetics
Background:
- Maintaining genetic variation is a central question in population genetics.
- Frequency- and density-dependent selection are key evolutionary forces.
- Multilocus models are crucial for understanding complex genetic systems.
Purpose of the Study:
- To analyze a multilocus-multiallele model of frequency- and density-dependent selection.
- To characterize equilibrium structures and stability properties.
- To determine conditions for maintaining genetic polymorphism.
Main Methods:
- Analysis of a multilocus-multiallele model with additive gene action.
- Investigation of stabilizing, directional, and frequency-dependent selection.
- Derivation of conditions for equilibrium and stability under weak selection and linkage equilibrium.
Main Results:
- No equilibrium exists with more than two alleles per locus.
- Necessary and sufficient conditions for multilocus polymorphism maintenance are identified.
- Explicit formulas for the number of polymorphic loci at equilibrium are derived.
Conclusions:
- Frequency-dependent selection plays a critical role in maintaining genetic variation.
- The model provides a framework for understanding the evolution of complex traits.
- Further analysis explores deviations from additivity and linkage equilibrium.
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