You are hired by Murphey Farms to decrease the backfat in their hogs. The curren

Question

You are hired by Murphey Farms to decrease the backfat in their hogs. The current hog population has a mean backfat content of 17.8mm. You selected the hogs with the smallest amount of backfat, mated them and obtained the progeny generation. The selected hogs had a mean backfat content of 11.8mm. You know that the heritability for percent backfat in hogs is 0.53.

What is the selection differential? Round your values properly to 2 decimal digits.

What is the expected response to selection? Round your values properly to 2 decimal digits.

What is the expected mean of the progeny generation? Round your values properly to 2 decimal digits.

Explanation / Answer

Answer 1.

Selection differential is difference between mean of selected parents (Ts) and actual mean, T (with all the parents).

S = Ts-T

= (11.8 - 17.8) = 6 mm

Answer 2.

Expected response to selection = R = (T' - T) = h2 * S; where h = heritability and S = 6mm (calculated in q.1)

R = (0.53 * 6) = 3.18 mm

Answer 3.

Expected mean of progeny generation = T'

R = (T' - T); where, T= 17.8mm and R = 3.18mm

T' = (3.18 + 17.8) = 20.98 mm

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