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Consider a population of inbreeding humans, in which the inbreeding coefficient is 0.6. At locus A, there are 215 individuals with genotype AA, 58 with Aa,and 190 with aa. How much will the frequency of heterozygotes decrease after an additional generation of mating?

a)30%
b)None. This trait is exhibiting Hardy-Weinberg equilibrium.
c)0.3%
d)37%
e)15%

1 Answer

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Final answer:

In a population with an inbreeding coefficient of 0.6, if the conditions remain the same for an additional generation, the frequency of heterozygotes will not decrease further solely due to inbreeding.

Step-by-step explanation:

When considering the frequency of heterozygotes in a population with a high inbreeding coefficient, it is important to recall the principles of Hardy-Weinberg equilibrium and how inbreeding affects genotype frequencies. With a given inbreeding coefficient (F) of 0.6, the reduction in heterozygosity can be calculated using the expected frequencies based on Hardy-Weinberg predictions and adjusting for inbreeding.

The Hardy-Weinberg principle, which describes a model for a population in genetic equilibrium, indicates the frequencies of AA, Aa, and aa genotypes can be calculated with p², 2pq, and q², where p and q are the frequencies of the A and a alleles, respectively, and p + q = 1. A population in Hardy-Weinberg equilibrium assumes random mating, no selection, no mutation, no migration, and a large population size.

If the inbreeding coefficient is F, the expected frequency of heterozygotes Aa is reduced to 2pq(1-F). Therefore, if we initially had a heterozygote frequency of 2pq in Hardy-Weinberg, and we assume no other changes, the frequency after one generation of inbreeding would be reduced by 60% due to the inbreeding coefficient of 0.6. Thus, if the inbreeding continues for an additional generation, we would not expect a further decrease in the proportion of heterozygotes due to inbreeding alone, unless the inbreeding coefficient increases.

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