Question

Australia has a population of koalas with 1,000 individuals. Each generation, the migration rate of koalas floating out to Fiji Island is m = 0.01. At koala locus K, there are K and k alleles, and the k frequency on Australia is 0.9 whereas it's 0.4 on Fiji island in generation 0. What will the k allele frequency be on the island in generation 1, after migration from the mainland?

1) 0.45
2) 0.005
3) 0.905
4) 0.405

Answer 1

The k allele frequency on the island in generation 1, after migration from the mainland, can be calculated using the given formula. Substituting the given values into the formula gives a k allele frequency of approximately 0.897. None of the options are correct.

Step-by-step explanation:

The k allele frequency on the island in generation 1, after migration from the mainland, can be calculated using the formula:

k frequency on the island in generation 1 = (k frequency on the mainland in generation 0) + (migration rate) * ((1 - k frequency on the mainland in generation 0) - (k frequency on the island in generation 0))

Using the given values:

k frequency on the mainland in generation 0 = 0.9

k frequency on the island in generation 0 = 0.4

migration rate = 0.01

Substituting these values into the formula:

k frequency on the island in generation 1 = 0.9 + 0.01 * ((1 - 0.9) - 0.4) = 0.9 + 0.01 * (0.1 - 0.4) = 0.9 + 0.01 * (-0.3) = 0.9 - 0.003 = 0.897

So, the k allele frequency on the island in generation 1 will be approximately 0.897. None of the options are correct.