2. A population of capelin, a small forage fish, in the Arctic ocean displays two types of colors, black and olive green. In capelin, olive-green is dominant to black. A marine biologist notices changes in the Arctic population after some capelin from a North Atlantic population migrated to the Arctic ocean. Before the migration event, the allele frequency of the black color allele was 0.34 in the Arctic population. After the migration event, the frequency was 0.38. The marine biologist was able to determine that the frequency of the black allele in the North Atlantic population was 0.53. What proportion of individuals currently in the Arctic population migrated from the North Atlantic population in order to cause the change in allele frequency? (4 points)
Migration is the large scale movement of members of a community to a different location. Allele frequencies of a population after migration can be calculated as:
where p is allele frequency before migration,
p' is the allele frequency after migration,
pm is the allele frequency in migrant population, and
m is the migration rate.
Here we know from the question that,
Substituting these values in the equation, we get:
Therefore the proportion of individuals migrated from North Atlantic to Arctic is .
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