In German cockroaches, the curved wing allele (cv) is recessive to the normal allele wing (cv). Bill, who is raising cockroaches in his dorm room, finds that the frequency of the allele for curved wings in his cockroach population is 0.6. In the apartment of his friend Joe, the frequency of the allele for curved wings is 0.2. One day Joe visits Bill in his dorm room and several cockroaches jump out of Joes' hair and join the population in Bill's room. Bill estimates that 10% of the cockroaches in his dorm room now consist of individual roaches that jumped out of Joe's hair. What will be the frequency of roaches with curved wings among cockroaches in Bill's room?

Question

Denise Beck

Biology

30 October, 23:40

In German cockroaches, the curved wing allele (cv) is recessive to the normal allele wing (cv). Bill, who is raising cockroaches in his dorm room, finds that the frequency of the allele for curved wings in his cockroach population is 0.6. In the apartment of his friend Joe, the frequency of the allele for curved wings is 0.2. One day Joe visits Bill in his dorm room and several cockroaches jump out of Joes' hair and join the population in Bill's room. Bill estimates that 10% of the cockroaches in his dorm room now consist of individual roaches that jumped out of Joe's hair. What will be the frequency of roaches with curved wings among cockroaches in Bill's room?

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Cheeky · Answer 1

Given

The migrants proportion in the new population (m) = 0.1

Allele frequency for curved wings in the old population (q-old) = 0.6

Allele frequency for migrant population (q-migrants) = 0.2

The formulae/method to use is

(q-new) = mx (q-migrants) + (1 - m) (q-old)

= 0.1 (0.2) + 0.9 (0.6)

= 0.56

assuming random mating the new genotype frequency can be determined by using

fnew (cv, cv) = (q-new) ^2

Where our calculated (q-new) is 0.56

= (0.56) ^2

= 0.31