omar-muqeet

1. The mean adult weight of your pig population is 720 lbs. P1 is an outstanding pig and has an adult weight of 650 lbs. After carrying out matings between P1 with any sows from your population, you obtained a new population (i.e. progeny of P1). The mean adult weight of the progeny population is only 780  lbs.

a. What is your estimate of P1’s breeding value?

b. Assuming there is no dominance or epistasis at the loci that influence adult weight, calculate P1’s genotypic value (G), environmental effect (E), and gene combination value (GCV)

2. You measure the body weight of a cattle population. The variance of body weight is 50 lbs^2 and the variance caused by permanent environmental effect is 10 lbs^2 . The correlation coefficient between body weight and breeding value is 0.4. The repeatability of body weight is 0.8.

a. What is the narrow-sense heritability h^2?

b. What is the variance of breeding values?

c. What is the variance of gene combination values?

A car travels along a straight road at a constant speed of 20 meters per second. The car's brakes can decelerate it at a rate of 5 meters per second squared. If the car's driver sees an obstacle and applies the brakes, how far will the car travel before coming to a complete stop?

The B locus has two alleles B and b with frequencies of 0.8 and 0.2, respectively, in a population in the current generation. The genotypic fitnesses at this locus are w_BB= 1.0, w_Bb = 1.0 and w_bb = 0.0.

a.) What will the frequency of the b allele be in the next generation?

b.) What will the frequency of the b allele be in two generations?

c.) What will the frequency of the b allele be in two generations if the fitnesses are: w_BB= 1.0, w_Bb = 0.0 and w_bb = 0.0.

d.) Why is the difference between answers in parts b.) and c.) so large?