(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%