8. FOUR POINTS. Researchers are studying the nestlings of brown finches in the G

Question

8. FOUR POINTS. Researchers are studying the nestlings of brown finches in the Galapagos Islands. B finches exist in two color morphs, brown or yellow. Researchers reported that a population of finches the southernmost island included 249 yellow finches and 514 brown finches. They assumed that finch color is controlled by two alleles at a single locus. a) Calculate the frequencies of all three possible genotypes, assuming that brown is dominant ar that the population is in Hardy-Weinberg equilibrium.

Explanation / Answer

Ans ) First we need to know the allelic frequency by calculating :-

p = f(Brown) = 514/763 = 0.673

q = f (Yellow) = 249/763 = 0.327

The relation between gene frequency and genotype frequency can be expressed as p2 + 2pq + q2 = 1

or (p+q)2 =1 . It is known as Hardy-Weinburg principle.

The genotype frequency of f( Brown) = p2 = 0.6732 = 0.452

The genotype frequency of f( hybrid) = 2pq = 2 X 0.673 X 0.327 = 0.440

The genotype frequency of f(yellow) = q2 = 0.3272 = 0.1069

Now, p2 + 2pq + q2 = 1

therefore, 0.452 + 0.440 + 0.169 = 1

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