Please show work You select a population of cattle that you are told exhibits h^

Question

Please show work You select a population of cattle that you are told exhibits h^2 = 0.5 for your phenotype of interest, which is % body fat. The average % body fat for individuals in the starting population is 10%. You select a group of individuals for breeding that exhibit 15% body fat, on average. What is the average % body fat that you expect in their offspring? 10% 11.25% 12.5 13.75% 15.% When your offspring reach adulthood, they exhibit 12% body f on average. What was the narrow-sense heritability (h^2) of body fat in your artificial selection experiment? 0 0.4 0.5 0.6 2

Explanation / Answer

16)

Narrow sense heritability (h2) = Selection response/selection differential

The selection differential is difference between average of parental population and average of parents selected for breeding. In this case, it is 15-10=5

Selection response is difference between average of parental population and average of offsprings. We do not know the average body fat % of offsprings. Let us assume it to be x.

So, selection response is x-10

Narrow sense heritability (h2) = 0.5

0.5 = (x-10)/5

0.5 x 5 = x-10

2.5+10 =x =12.5

So, the average body fat % of offsprings would be 12.5%

17)

Offspring’s body fat % is 12.

What is h2

selection differential = average of parents selected - average of parental population = 15-10 =5

Selection response = average of offsprings - average of parental population = 12-10 =2

Narrow sense heritability (h2) = 2/5 =0.4

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