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

Table S4. Wheat data set WHE5. 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
Environment^*	MM $l$ -GK	MM $l$ -GB	MDs $l$ -GK	MDs $l$ -GB	MDe $l$ -GK	MDe $l$ -GB	MUCf-GK MUCf-GB
0iFN	0.348 (0.05)	0.301 (0.05)	0.601 (0.04)	0.553 (0.03)	0.611 (0.04)	0.555 (0.04)	0.614 (0.03)	0.554 (0.03)
2iBN	0.217 (0.05)	0.201 (0.05)	0.474 (0.04)	0.431 (0.04)	0.47 (0.05)	0.439 (0.04)	0.475 (0.04)	0.448 (0.04)
5iBH	0.321 (0.05)	0.35 (0.05)	0.67 (0.03)	0.635 (0.03)	0.668 (0.03)	0.634 (0.03)	0.679 (0.03)	0.633 (0.03)
5iBN	0.163 (0.06)	0.136 (0.06)	0.399 (0.04)	0.353 (0.05)	0.395 (0.05)	0.345 (0.06)	0.401 (0.04)	0.358 (0.05)
5iFN	0.084 (0.06)	0.082 (0.06)	0.334 (0.04)	0.309 (0.04)	0.328 (0.05)	0.306 (0.05)	0.336 (0.05)	0.315 (0.04)
	Proposed models without random effects $l$ and f
Environment^*	MM $l$ -GK	MM-GB	MDs-GK	MDs-GB	MDe-GK	MDe-GB	MUC-GK MUC-GB
0iFN	0.341 (0.05)	0.288 (0.05)	0.61 (0.04)	0.562 (0.03)	0.612 (0.03)	0.557 (0.03)	0.625 (0.04)	0.558 (0.04)
2iBN	0.205 (0.05)	0.216 (0.05)	0.478 (0.05)	0.439 (0.05)	0.473 (0.05)	0.436 (0.04)	0.476 (0.05)	0.429 (0.06)
5iBH	0.323 (0.04)	0.333 (0.05)	0.67 (0.02)	0.624 (0.03)	0.662 (0.03)	0.627 (0.03)	0.680 (0.03)	0.638 (0.03)
5iBN	0.171 (0.05)	0.163 (0.05)	0.397 (0.05)	0.357 (0.04)	0.405 (0.04)	0.356 (0.04)	0.407 (0.04)	0.354 (0.05)
5iFN	0.107 (0.05)	0.114 (0.06)	0.33 (0.05)	0.311 (0.04)	0.329 (0.05)	0.307 (0.05)	0.337 (0.04)	0.303 (0.04)

Environments are described by a sequence of codes: 0i, 2i and 5i denote the number of irrigation; 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).