D Untitled Page X 2 My Academics x Quiz Breeding v x AUSOM A
Solution
A) Genotypic frequencies
A1A1 -p2 0.9 x 0.9 0.9 x 0.9 = 0.81
A1A2 2pq 2 x 0.9 x 0.1 = 0.18 2 x 0.9 x 0.1 = 0.18
A2A2 q2 0.1 x 0.1 = 0.01 0.1 x 0.1 = 0.01
A1A1+2A1A2+A2A2 = 1
0.81+0.18+0.01=1
B) Population mean: An individuals breeding value can also be An individuals breeding value can also be described as the described as the sum of the average effect sum of the average effect of the individuals alleles individuals alleles
Population mean = sum of frequency x values
280 x 0.01 + 300 x 0.18 + 320 x 0.81 = 316
2.8+54+259.2 =316
Genetic value = deviation from population mean 36, 16, -4
Breeding value = sum of average effect of alleles
Average effect of A1 - A1 allele will meet A1 at frequency p and A2 at frequency q
A1A1 x p + A1A2 x q= 0.01x36+0.18x0.81=0.36+0.145=0.50
Average effect of A2 - A2 llele will meet A1 frequency p and A2 at frequency q equency
A2A1 x p + A2A2 x q = 16x0.01+-4x0.81=0.16+-3.24=-3.40
