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Linkage disequilibrium, selection and recombination at three Loci
1Department of Mathematics, University of California, Davis, California 95616.
Genetics
|January 1, 1984
Summary
Linkage disequilibrium measures are not suitable for multiple genetic loci. Three-locus interactions reduce the selection strength needed to maintain genetic disequilibrium compared to two-locus models.
Area of Science:
- Population genetics
- Quantitative genetics
- Mathematical biology
Background:
- Understanding the interplay between linkage disequilibrium, selection, and recombination is crucial in population genetics.
- Existing models often simplify these interactions to two-locus systems, potentially overlooking complex multilocus dynamics.
Purpose of the Study:
- To determine the limits of the relationship among linkage disequilibrium, selection, and recombination in deterministic, discrete three-locus models.
- To evaluate the appropriateness of commonly used linkage disequilibrium measures in a multilocus context.
Main Methods:
- Application of linear programming techniques to analyze three-locus, two-allele genetic models.
- Deterministic, discrete generation models were employed to simulate genetic interactions.
Main Results:
- Established that standard linkage disequilibrium measures are inadequate for multilocus genetic analyses.
- Demonstrated that interactions among three loci significantly decrease the selection intensity required to sustain a given level of linkage disequilibrium.
- Quantified the reduced selection strength compared to two-locus models.
Conclusions:
- Multilocus genetic models reveal limitations in traditional linkage disequilibrium assessments.
- Three-locus interactions play a critical role in shaping the dynamics of genetic disequilibrium and the efficacy of selection in populations.
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