00:01
All right, so calculate the average time in generations to fixation of an allele that starts at proportion 0 .4, and population sizes 2533 ,300, 100, and 1 ,000.
00:09
And the same thing will be for the next few problems.
00:13
And number two, the same proportion at 0 .4, and population sizes 25, 33, 100, and 1 ,000.
00:19
And then number 3, proportion, 0 .1, and sizes of 25, 33, 100, and 1 ,000.
00:25
Remember, both fixation or loss in the leo result in the decline of genetic diversity.
00:30
So are wheels lost or fixed more rapidly in small or larger populations? so start here.
00:39
We'll use this equation for each size of population we're given.
00:45
So e to the first times p equals negative 4n times 1 minus p over p that's natural log of 1 minus p.
01:04
So for population size where n equals 25, we have the number of generations required to achieve allele fixed station.
01:16
It's 76 .6 generations.
01:23
Number generations required, 76 .6 generations.
01:35
So going further, we'll plug in 33, 100, and 1 ,000.
01:38
So n equals 33, so our required would be 101 .1 .1.
01:58
And for n equals 100, our required would then be 306 .5.
02:14
And finally, for n equals 1 ,000, we'll have our number of generations required being 3 ,065...