Problem

Solutions For An Introduction to Genetic Analysis Chapter 19 Problem 17P

Step-by-Step Solution

Solution 1

(a) The broad-sense heritability H2= Vg / Vx

Vg = genetic variance (phenotypic variance – environmental variance)

Vx= phenotypic variance

The narrow-sense heritability h2 = Va/Vx

Va = additive variance

Vx = total phenotypic variance (Va+ Vd+Ve)

Vd= dominance variance

Ve= environmental variance

For shank length:

The broad-sense heritability

The narrow sense heritability

For neck length:

The broad-sense heritability

The narrow-sense heritability

For fat content:

The broad-sense heritability

The narrow-sense heritability

(b) The narrow-sense heritability shows the extent of variation, which is passed on from the parent to the offspring, among the individuals of a population.

So, if the narrow-sense heritability (h2) is larger, the difference between the selected parents and the whole population is greater. So, the character, which shows large narrow-sense heritability, will respond more to selection. In this case, fat content will react best to selection.

(c) The mean fat content which can be expected is calculated by finding the selection response.

Selection response = narrow-sense heritability (h2) × selection differential

= 0.400× (10.5%-6.5%)

= 1.6% decrease in the fat content

The current mean fat content = 10.5%

The mean fat content that can be expected = 10.5-1.6 = 8.9%

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Solutions For Problems in Chapter 19