Given three large populations with initial allele frequencies $($single locus, two alleles, D and d$)$ of:

Population p$($D$)$

$10\mathrm{.}225$

$20\mathrm{.}496$

$30\mathrm{.}779$

How many generations $($t$)$ are required for populations $1,2,$ and $3$ to reach equilibrium allele frequency given the following probabilities of migration $($m$)?$

m : $0\mathrm{.}25,0\mathrm{.}025,0\mathrm{.}0025,0\mathrm{.}00025,0\mathrm{.}000025$

Given the five values of t$,$ calculated in part a and mutation rate of u $=1\mathrm{.}6$e$^-6$ and v$=4\mathrm{.}4$e$^-7($mutations$/$gene$/$generation$),$ what are the corresponding changes in allele frequencies due to mutation?

Discuss your results.