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Related Concept Videos

Epistasis Analysis01:09

Epistasis Analysis

Although Mendel chose seven unrelated traits in peas to study gene segregation, most traits involve multiple gene interactions that create a spectrum of phenotypes. When the interaction of various genes or alleles at different locations influences a phenotype, this is called epistasis. Epistasis often involves one gene masking or interfering with the expression of another (antagonistic epistasis). Epistasis often occurs when different genes are part of the same biochemical pathway. The...
Epistasis01:39

Epistasis

In addition to multiple alleles at the same locus influencing traits, numerous genes or alleles at different locations may interact and influence phenotypes in a phenomenon called epistasis. For example, rabbit fur can be black or brown depending on whether the animal is homozygous dominant or heterozygous at a TYRP1 locus. However, if the rabbit is also homozygous recessive at a locus on the tyrosinase gene (TYR), it will have an unshaded coat that appears white, regardless of its TYRP1...
Hardy-Weinberg Principle01:49

Hardy-Weinberg Principle

Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.In the early 20th century,...
Multiple Allele Traits01:49

Multiple Allele Traits

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Multiple Allele Traits01:49

Multiple Allele Traits

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Mutation, Gene Flow, and Genetic Drift01:09

Mutation, Gene Flow, and Genetic Drift

In a population that is not at Hardy-Weinberg equilibrium, the frequency of alleles changes over time. Therefore, any deviations from the five conditions of Hardy-Weinberg equilibrium can alter the genetic variation of a given population. Conditions that change the genetic variability of a population include mutations, natural selection, non-random mating, gene flow, and genetic drift (small population size).Mechanisms of Genetic VariationThe original sources of genetic variation are mutations,...

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Evolution and polymorphism in the multilocus Levene model with no or weak epistasis.

Reinhard Bürger1

  • 1Department of Mathematics, University of Vienna, Austria. reinhard.buerger@univie.ac.at

Theoretical Population Biology
|June 22, 2010
PubMed
Summary

This study shows that without epistasis, genetic polymorphism in multiple populations (multilocus Levene model) converges to stable equilibrium points. This simplifies analyzing the evolution of genetic diversity and maintaining polymorphism.

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Area of Science:

  • Evolutionary genetics
  • Population genetics
  • Mathematical biology

Background:

  • The multilocus Levene model with soft selection is a framework for studying evolution in structured populations.
  • Understanding the conditions for maintaining genetic polymorphism is crucial for evolutionary biology.

Purpose of the Study:

  • To analyze the evolution and maintenance of polymorphism under the multilocus Levene model.
  • To determine the conditions for convergence to stable equilibria in complex genetic systems.

Main Methods:

  • Mathematical modeling of population genetics.
  • Analysis of convergence to stationary points in linkage equilibrium.
  • Investigation of gene-frequency dynamics.
  • Exploration of weak epistasis effects on convergence to quasi-linkage equilibrium.

Main Results:

  • Without epistasis, trajectories converge to linkage equilibrium under mild conditions.
  • Weak epistasis leads to global convergence to quasi-linkage equilibrium.
  • Arbitrarily many multiallelic loci can be maintained polymorphically with intermediate dominance and weak epistasis in at least two demes.
  • The existence of internal equilibria depends on the ratio of loci to demes under specific conditions.

Conclusions:

  • The study simplifies the analysis of genetic polymorphism by demonstrating convergence to linkage equilibrium.
  • The findings provide conditions for the stable maintenance of genetic diversity in structured populations.
  • The results have implications for understanding quantitative traits determined by additive genetic effects.