Calculate Piepho's heritability using variance parameters

Compute Piepho's heritability using the variance of differences between two BLUES.

Usage

H2_Piepho_parameters(vc_g, vd_BLUE_avg)

Arguments

vc_g

Numeric. Genotype variance component

vd_BLUE_avg

Numeric. Mean variance of pairwise differences among BLUES

Value

Numeric value

Details

The equation for Piepho's heritability is as follows:

$$H^2_{Piepho} = \frac{\sigma^2_g}{\sigma^2_g + \overline{PEV_{BLUE_g}} / 2}$$

where:

• \(\overline{PEV_{BLUE_g}}\) is the prediction error variance matrix for genotype BLUEs

• \(\sigma^2_g\) is the variance attributed to differences between genotype

References

Piepho, H.-P., & Möhring, J. (2007). Computing Heritability and Selection Response From Unbalanced Plant Breeding Trials. Genetics, 177(3), 1881–1888. https://doi.org/10.1534/genetics.107.074229

Examples

H2_Piepho_parameters(vc_g = 0.25, vd_BLUE_avg = 0.68)
#> [1] 0.4237288