Calculate Standard heritability using variance parameters

Compute Standard heritability for genotype means using the variance components of genotype and residuals.

Usage

H2_Standard_parameters(vc_g, vc_e, n_r = 1)

Arguments

vc_g

Numeric. Genotype variance component

vc_e

Numeric. Residuals variance component

n_r

A numeric vector of size n_g, the number of genotype replicates.

Value

Numeric value

Details

The equation for Standard heritability is as follows:

$$H^2_{Standard} = \frac{\sigma^2_g}{\sigma^2_g + \frac{1}{n_g}\sum_{n_g}^{i=1} \sigma^2_p / n_{gi}}$$ where:

• \(n_g\) is the number of genotypes

• \(n_{gi}\) is the number of replicate for a given genotype i

• \(\sigma_g\) is the variance attributed to genotype differences

• \(\sigma_p\) is the variance attributed to phenotypic differences

References

Falconer, D. S., & Mackay, T. F. C. (1996). Introduction to quantitative genetics (4th ed.). Longman.

Examples

H2_Standard_parameters(vc_g = 0.25, vc_e = 0.8)
#> [1] 0.2380952