Population Genetics

Imagine that you have a sample of 2 chromosomes in the 2 island model of population structure. Each island has a size 10,000 diploid individuals. Assume that m=0.005. Calculate:

(a) The probability of a coalescent event occurring before a migration event if the 2 chromosomes are sampled from the same population.

(b) The probability of a coalescent event occurring before a migration event if the 2 chromosomes are sampled from different populations.

(c) The probability of a coalescent event occurring exactly 1 generation ago if the 2 chromosomes are sampled from different populations.

(d) The expected coalescent time if the 2 chromosomes are sampled from different populations.