. 2018 Feb 23;8(4):1347–1365. doi: 10.1534/g3.117.300454

Table S1. Maize HEL data set. Mean Pearson’s correlation (50 partitions) of each location for random cross-validation CV1, for the multi-environment models, main genotypic effect model (MM), single variance G×E deviation model (MDs), environment-specific variance G×E deviation model (MDe), multi-environment unstructured covariance models (MUC and MUCf) with two kernels, GBLUP (GB) and Gaussian kernel (GK) for grain yield with the proposed random effect $l$ and without the random effect $l$ (standard deviation in parentheses).

	Proposed models with random effects $l$ and f
Location^*	MM $l$ -GK	MM $l$ -GB	MDs $l$ -GK	MDs $l$ -GB	MDe $l$ -GK	MDe $l$ -GB	MUCf-GK MUCf-GB
IP	0.571 (0.1)	0.439 (0.12)	0.745 (0.05)	0.644 (0.1)	0.749 (0.06)	0.634 (0.09)	0.756 (0.06)	0.659 (0.06)
NM	0.503 (0.08)	0.354 (0.09)	0.532 (0.08)	0.385 (0.11)	0.525 (0.09)	0.365 (0.11)	0.537 (0.08)	0.381 (0.11)
PM	0.661 (0.06)	0.574 (0.07)	0.753 (0.05)	0.682 (0.07)	0.753 (0.04)	0.685 (0.05)	0.751 (0.04)	0.685 (0.05)
SE	0.347 (0.09)	0.202 (0.11)	0.505 (0.08)	0.370 (0.1)	0.513 (0.08)	0.366 (0.09)	0.489 (0.09)	0.349 (0.09)
SO	0.442 (0.1)	0.287 (0.09)	0.552 (0.08)	0.402 (0.1)	0.552 (0.08)	0.395 (0.12)	0.551 (0.08)	0.39 (0.09)
	Proposed models without random effects $l$ and f
Location^*	MM $l$ -GK	MM-GB	MDs-GK	MDs-GB	MDe-GK	MDe-GB	MUC-GK MUC-GB
IP	0.575 (0.09)	0.426 (0.11)	0.752 (0.06)	0.607 (0.08)	0.755 (0.05)	0.618 (0.09)	0.758 (0.05)	0.641 (0.08)
NM	0.506 (0.09)	0.361 (0.07)	0.54 (0.09)	0.394 (0.08)	0.538 (0.09)	0.394 (0.08)	0.545 (0.06)	0.391 (0.1)
PM	0.662 (0.06)	0.533 (0.07)	0.758 (0.05)	0.662 (0.07)	0.754 (0.05)	0.671 (0.04)	0.754 (0.04)	0.669 (0.05)
SE	0.346 (0.1)	0.219 (0.1)	0.527 (0.06)	0.321 (0.1)	0.524 (0.08)	0.339 (0.09)	0.505 (0.07)	0.319 (0.11)
SO	0.455 (0.1)	0.293 (0.11)	0.576 (0.07)	0.376 (0.1)	0.555 (0.09)	0.383 (0.11)	0.56 (0.07)	0.377 (0.1)

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