The current heterozygosity of an isolated population of lemu

The current heterozygosity of an isolated population of lemurs is 23%. The effective population size is estimated to be about 50. How many generations will it take for heterozygosity to fall to 15% due to drift?

Solution

Ht = H0[1 - (1/2N)]t

15 = 23 [1-(1/2*50)]t

15 = 23 [1-(1/100)]t

[1-(1/100)]t = 15 /23

[1-(1/100)]t = 0.65

t = [0.65 * 100]/99

t = 0.65 generations will it take for heterozygosity to fall to 15% due to drift

Ht --> current heterozygosity of an isolated population of lemurs is 23%

H0 ---> where \"0\" ---> the present (or starting) generation

t ----> the number of generations in the future