Table B3 Wheat data set 3
Env.Covariance Matrix Embedded Image (Upper Triangular) and Correlation Matrix (Lower Triangular) for uCovariance Matrix Embedded Image (Upper Triangular) and Correlation Matrix (Lower Triangular) for fVariance–Covariance Matrix Σ for ε
123412341234
GBLUP
 E10.4030.3680.1290.1690.2540.0860.0870.0170.281
 E20.7290.6320.3290.2040.4030.1790.0360.0670.184
 E30.2730.5550.5560.1280.3620.1780.2280.0330.322
 E40.4480.4320.2890.3530.0700.3270.1430.2340.366
GK
 E10.6930.4530.1750.1910.132−0.0140.033−0.0230.145
 E20.6380.7270.3020.248−0.1220.0990.0040.0120.123
 E30.2290.3860.8410.1710.2670.0370.116−0.0040.126
 E40.2690.3420.2190.725−0.1680.101−0.0310.1420.163
  • Empirical phenotypic correlation: E1 vs. E2 = 0.527; E1 vs. E3 = 0.253; E1 vs. E4 = 0.259; E2 vs. E3 = 0.340; E2 vs. E4 = 0.328; E3 vs. E4 = 0.220. Variance–covariance matrix (upper triangular) and correlation matrix (lower triangular) for random effects u, f, and variance matrix for random errors ε of multi-environment model (3) including four environments (E1–E4) for linear kernel GBLUP and nonlinear Gaussian kernel (GK). Pair-wise sample phenotypic correlations between environments are given above. Env., environment; GBLUP, genomic best linear unbiased predictors: GK, Gaussian kernel.