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2. Consider a diploid, self-fertilizing individual in a constant size population of size N . Assume
that N = 1 , and that the sole individual is heterozygous A 1 A 2 . (This is the scenario described
on page 24 of Gillespie's book.) The figure below shows the genotype frequencies in the first few
generations. Figure 2.2: Genotype frequencies for four generations of drift with N = 1 . Prove
that the average time for this population (of one individual) to become homozygous is equal to
two generations.

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