N

where the first term is due to sampling between generations and the second term is the proportion of apparently allozygous alleles in the gamete population that are actually autozygous due to past sampling or inbreeding.

By definition, F is the reduction in heterozygosity as well as the increase in homozygosity compared to Hardy-Weinberg expected genotype frequencies. If F is proportional to the homozygosity and amount of inbreeding, then 1 - F is proportional to the amount of heterozygosity and random mating. If we are interested in predicting levels of heterozygosity, multiplying both sides of equation 3.48 by -1 and then adding one to both sides gives

or an expression for one minus the expected homozygosity due to random sampling from a finite gamete population. To express this in terms of the heterozygosity, we can use Ht = 2pq(1 - Ft-1) from equation Ht

2.20 to obtain 1 - Ft-1 = ——. Substituting this into equation 3.49 gives:

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