Table 2. MAIZE HEL 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 (GK), with $\mathit{l}$ and without $\mathit{l}$, 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
${\sigma }^2$	0.581 (0.02)	0.594 (0.02)	0.277 (0.02)	0.368 (0.02)	0.246 (0.02)	0.368 (0.02)	0.582 (0.02)	0.749 (0.03)	0.278 (0.02)	0.591 (0.02)	0.247 (0.02)	0.592 (0.02)
${\sigma }_g^2$	0.795 (0.1)	0.228 (0.06)	0.871 (0.11)	0.172 (0.06)	0.88 (0.12)	0.186 (0.06)	0.821 (0.1)	0.356 (0.08)	0.938 (0.1)	0.370 (0.08)	0.931 (0.1)	0.390 (0.09)
${\sigma }_{ge}^2$	—	—	0.53 (0.06)	0.256 (0.03)	—	—	—	—	0.525 (0.06)	0.188 (0.03)	—	—
${\sigma }_{IP}^2$	—	—	—	—	0.376 (0.1)	0.257 (0.08)	—	—	—	—	0.372 (0.1)	0.237 (0.08)
${\sigma }_{NM}^2$	—	—	—	—	0.778 (0.19)	0.197 (0.08)	—	—	—	—	0.769 (0.2)	0.076 (0.06)
${\sigma }_{PM}^2$	—	—	—	—	0.374 (0.08)	0.297 (0.08)	—	—	—	—	0.370 (0.09)	0.259 (0.08)
${\sigma }_{SE}^2$	—	—	—	—	1.135 (0.2)	0.385 (0.11)	—	—	—	—	1.143 (0.21)	0.255 (0.09)
${\sigma }_{SO}^2$	—	—	—	—	0.688 (0.16)	0.215 (0.08)	—	—	—	—	0.688 (0.16)	0.158 (0.07)
${\sigma }_l^2$	0.008 (0.01)	0.201 (0.03)	0.013 (0.01)	0.243 (0.03)	0.014 (0.01)	0.244 (0.03)	—	—	—	—	—	—

^*Locations are: IP: Ipiaçú-MG, NM: Nova Mutum-MT, PM: Pato de Minas-MG, SE: Sertanópolis-PR, and SO: Sorriso-MT.