POPULATION GENETICS PROBLEM SET 2 BIOLOGY 201 Answer all of the following problems Show calculations as well as results 1 Migration An island population of 5000 birds has a frequency of 0 4 for the A allele at a certain locus The mainland population has a frequency of 0 1 for the same allele and 200 individuals migrate each generation Assuming that selection is not operating on this gene calculate p on the island after 1 10 and 100 generations Hint To find p after 1 generation you can just use the equation in the book in section 7 6 To find p after multiple generations you need to use the following equation pt 1 k t pi pm pm t of generations k fraction of island population made up by new migrants from mainland pi frequency of A allele in island population pm frequency of A allele in mainland population 2 Inbreeding A population of moths has two color morphs brown BB and Bb and white bb In a population of 100 moths we observe 75 brown and 25 white individuals a If the population is in H W equilibrium what is the expected frequency of heterozygotes 2pq b Suppose you determine that in reality there are only 25 heterozygotes What is F the inbreeding coefficient 1 3 Non random mating In a population of elephant seals there are 100 males and 100 females However only males that hold territories get to mate and only 10 males hold territories All of the females get to mate a What is the census size of this population b What is the effective population size 4 You are in charge of ensuring continuing survival of an endangered Smurf population You begin by investigating the genetic variation present in the current population a At the A locus the frequency of the A and a alleles are 0 6 and 0 4 respectively What is the expected Heterozygosity in the current population b If the population consists of only 50 Smurfs what is the expected Heterozygosity in the next generation c You realize that it will take a 100 years to restore the Smurf habitat Assuming that the population size remains constant over those 100 years how large does your population have to be to maintain 90 of the current Heterozygosity Hint You ll need to use a slightly different equation for part c Ht 1 1 2N t H0 Ht heterozygosity at time t in years H0 initial heterozygosity t time in years N population size d After monitoring the Smurfs during the breeding season you discover that there is only one Smurfette in your population How does this observation change your answers to b 2