Question

in a flock of 100 broiler chickens, the mean weight is 700 g and the standard deviation is 100 g. if h2 is 1.0, what is the genetic variance for this population?

Answer 1

The genetic variance for the population is 10,000 g^2.

Step-by-step explanation:

To calculate the genetic variance, we need to use the formula:

Vg = h^2 * σ^2

Where:

• Vg is the genetic variance
• h^2 is the heritability coefficient
• σ^2 is the environmental variance

In this case, the heritability coefficient (h^2) is given as 1.0, which means that all the variation in the trait is due to genetic factors. The environmental variance (σ^2) can be calculated using the formula:

σ^2 = σ^2g + σ^2e

Where:

• σ^2g is the genetic variance
• σ^2e is the residual variance

Since the heritability coefficient is 1.0, the residual variance (σ^2e) is 0. Therefore, the genetic variance (σ^2g) is equal to the total variance (σ^2), which is the square of the standard deviation:

σ^2g = (σ^2)^2 = (100 g)^2 = 10,000 g^2

Therefore, the genetic variance for this population is 10,000 g^2.