Calculate Cullis heritability using variance parameters

Compute the Cullis heritability for genotype means using the average variance of pairwise differences of best linear unbiased predictors (BLUPs).

Usage

H2_Cullis_parameters(vd_BLUP_avg, vc_g)

Arguments

vd_BLUP_avg

Numeric. Average variance of pairwise differences among BLUPs

vc_g

Numeric. Genotype variance component

Value

Numeric value

Details

The equation for Cullis heritability is as follow

$$H^2_{Cullis} = 1 - \frac{PEV^{BLUP}_{\overline\Delta ij}}{2\sigma^2_g}$$

where:

• \(PEV\) is the prediction error variance matrix of the pairwise differences among BLUPS

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

References

Cullis, B. R., Smith, A. B., & Coombes, N. E. (2006). On the design of early generation variety trials with correlated data. Journal of Agricultural, Biological, and Environmental Statistics, 11(4), 381–393. https://doi.org/10.1198/108571106X154443

Examples

H2_Cullis_parameters(vd_BLUP_avg = 0.25, vc_g = 0.8)
#> [1] 0.84375