A certain mouse species can have three color of coats that demonstrates incomple

Question

A certain mouse species can have three color of coats that demonstrates incomplete dominance such that the homozygous dominant (DD) is dark in color the heterozygote Dd is intermediate in color and the homozygous recessive (dd) is light in color. In a certain heterogeneous environment there is a population of 1000 mice, 90 of which arc light in color in Hardy-Weinberg equilibrium. This polymorphism is maintained because the environment contains some dimly lit forested areas and some beachy/sandy areas. During a hurricane, the trees were completely wiped out the area is now all sandy/beachy. If there are still 1000 mice in the area and the fitness of the mice in this new environment arc W_DD = 0.2, W_Dd = 0.8, and W_dd = 1.0, what would be the predicted allele frequencies in the next generation be and what are the predicted number of mice for each phenotype?

Explanation / Answer

Allele frequency :- refer to how common an allele is in a population. Its determined by counting how many times the allele appears in a population then divided by the total number of copies of the gene.

Absolute fitness (symbolized W ) :-

DD = 0.2

Dd = 0.8

dd = 1.0

DD = 100 mice , Dd = 400 mice , dd = 500

D allele = 100 + 100 + 400 = 600

d allele = 500 + 500 +400 = 1400

Allele frequency of D = 600/2000 = 0.3

Allele frequency of d = 1400/2000 =0.7

According to hardy weinberg principle :-

P square + q square + 2pa =1

0.09 + 0.49 + 0.42 =1

Frequency of DD = 0.09

Frequency of Dd = 0.42

Frequency of dd = 0.49

ANSWER 2 :- Phenotype

DD = 90 dark color mice

Dd = 420 intermediate color mice

dd = 490 light color mice

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