Table 8. WHEAT WHE5 data set. Estimated variance components for the multi-environment models, main genotypic effect model (MM), single variance G×E deviation model (MDs) and environment-specific variance G×E deviation model (MDe) with two kernels, GBLUP (GB) and Gaussian kernel (GK), with $\mathit{l}$ and without $\mathit{l}$ (Sousa et al. 2017), for grain yield (standard deviation in parentheses).

Variance component*	MM$\mathit{l}$-GK	MM$\mathit{l}$-GB	MDs$\mathit{l}$-GK	MDs$\mathit{l}$-GB	MDe$\mathit{l}$-GK	MDe$\mathit{l}$-GB		MM- GK	MM- GB	MDs-GK	MDs- GB	MDe-GK	Mde- GB
${\sigma }^2$	0.879 (0.02)	0.883 (0.02)	0.001 (0.00)	0.269 (0.03)	0.001 (0.00)	0.248 (0.03)		0.88 (0.02)	0.884 (0.02)	0.001 (0.00)	0.282 (0.03)	0.002 (0.00)	0.267 (0.03)
${\sigma }_g^2$	0.168 (0.02)	0.102 (0.01)	0.131 (0.01)	0.064 (0.03)	0.105 (0.02)	0.061 (0.03)		0.17 (0.02)	0.105 (0.01)	0.16 (0.02)	0.125 (0.02)	0.178 (0.02)	0.119 (0.02)
${\sigma }_{ge}^2$	—	—	1.49 (0.03)	0.636 (0.05)	—	—		—	—	1.482 (0.04)	0.618 (0.05)	—	—
${\sigma }_{0iFn}^2$	—	—	—	—	1.385 (0.07)	0.639 (0.07)		—	—	—	—	1.37 (0.07)	0.607 (0.06)
${\sigma }_{2iBN}^2$	—	—	—	—	1.578 (0.08)	0.722 (0.08)		—	—	—	—	1.568 (0.08)	0.693 (0.08)
${\sigma }_{5iBH}^2$	—	—	—	—	1.262 (0.07)	0.554 (0.06)		—	—	—	—	1.187 (0.07)	0.528 (0.06)
${\sigma }_{5iBN}^2$	—	—	—	—	1.619 (0.08)	0.74 (0.08)		—	—	—	—	1.637 (0.09)	0.716 (0.07)
${\sigma }_{5iFN}^2$	—	—	—	—	1.73 (0.09)	0.74 (0.08)		—	—	—	—	1.709 (0.09)	0.717 (0.08)
${\sigma }_l^2$	0.003 (0.0)	0.004 (0.0)	0.014 (0.0)	0.043 (0.02)	0.02 (0.01)	0.039 (0.02)		—	—	—	—	—	—

^*Environments are described by a sequence of codes: 0i, 2i and 5i denote the number of irrigation cycles; B/F denotes whether the planting system was ‘bed’ (B) or ‘flat’ (F); N/H denotes whether planting date was normal (N) or late (H, simulating heat).