Inbreeding in a population causes a deviation from...

Inbreeding in a population causes a deviation from Hardy-Weinberg expectations such that there are more homozygotes than expected. For a locus with a rare deleterious allele at a frequency of $0.04,$ what would be the frequency of homozygotes for the deleterious allele in populations with inbreeding coefficients of $F=0.0$ and $F=0.125 ?$

Key Concepts

Adjusted Genotype Frequency Under Inbreeding

This concept involves modifying the expected genotype frequencies from the Hardy-Weinberg model to account for the effects of inbreeding. The formula for the frequency of a homozygote genotype typically becomes the sum of the Hardy-Weinberg homozygote frequency and an additional term related to the inbreeding coefficient, which captures the excess homozygosity arising from non-random mating.

Hardy-Weinberg Equilibrium

A fundamental principle in population genetics that states allele and genotype frequencies will remain constant from generation to generation in an idealized population, provided that certain assumptions (such as random mating, no mutation, no migration, infinite population size, and no selection) are met. It serves as a null model for studying genetic variation in populations.

Inbreeding Coefficient (F)

A parameter that quantifies the probability that two alleles at a locus in an individual are identical by descent. It measures the extent of inbreeding within a population, where higher F values indicate increased levels of relatedness among mating individuals, leading to a higher frequency of homozygous individuals compared to predictions based solely on Hardy-Weinberg expectations.

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