10 Researchers from Texas AM recently reported a new breed o

10. Researchers from Texas A&M recently reported a new breed of haploid pig, the Brazos Beauty. Two unlinked loci control the Belly Fatness of the breed, the \"Gig\" locus and the \"CT\" locus. At each locus, \"1\" alleles add 8 oz. of belly fatness, and there is NO epistasis. In the experimental population, the frequency of the G1 allele is 0.3 and the G2 allele is 0.7; the frequency of the C1 allele is 0.4 and the frequency of the C2 allele is 0.6. a) What is the mean belly fatness in this population? b) What is the phenotypic variance for belly fatness? c) What is the average excess of each of the four alleles? d) Suppose the environmental component of variance, VE is equal to the total genetic variance, VG. What is the heritability of the trait?

Solution

a>

we are given that at 1 alleles adds 8 oz of belly fat.

=> G1 allele has a total of = .3*8 = 2.4 oz belly fat

G2 allele has a total of = .7*8 = 5.6 oz belly fat

C1 allele has a total of = .4*8 = 3.2 oz belly fat

C2 allele has a total of = .6*8 = 4.8 oz belly fat

now the mean belly fatness is = (2.4 + 5.6 + 3.2 + 4.8)/(.3+.7+.4+.6) = 8

b> variance = sqrt[((8-2.4)^2 + (8-5.6)^2+(8-3.2)^2+(8-4.8)^2)/(.3+.7+.4+.6)]

variance = sqrt[35.2] = 5.9329