Table 7 Wheat data
MethodEnvironment–traitCorrelationMSEP
MeanSERankaMeanSERank
Bed2I-DTHD0.930.0324.821.602
Bed2I-GNVI0.790.081.56.8E-050.002
Bed2I-GRYLD0.640.1210.050.011
Bed2I-PTHT0.600.18126.5511.902
Bed5I-DTHD0.760.13217.617.631
UBed5I-GNVI0.600.2019.7E-050.002
Bed5I-GRYLD0.350.3220.230.092
Bed5I-PTHT0.460.16311.903.403
Drip-DTHD0.950.0212.660.811
Drip-GNVI0.680.211.50.000.002
Drip-GRYLD0.670.1710.130.051
Drip-PTHT0.690.08122.6810.211
Ave0.680.141.507.222.981.67
Bed2I-DTHD0.950.0114.440.571
Bed2I-GNVI0.790.011.56.3E-050.002
Bed2I-GRYLD0.600.0420.060.002
Bed2I-PTHT0.560.06228.243.702
Bed5I-DTHD0.790.04116.512.371
DBed5I-GNVI0.660.0628.4E-050.002
Bed5I-GRYLD0.380.0910.220.021
Bed5I-PTHT0.470.06211.861.102
Drip-DTHD0.940.0124.340.532
Drip-GNVI0.680.061.50.000.002
Drip-GRYLD0.590.0630.140.022
Drip-PTHT0.620.03223.833.142
Ave0.670.041.757.470.951.75
Bed2I-DTHD0.940.05317.376.943
Bed2I-GNVI0.330.2130.000.002
Bed2I-GRYLD0.580.1830.070.013
Bed2I-PTHT0.560.23332.7014.423
Bed5I-DTHD0.780.14330.948.833
SBed5I-GNVI0.460.2530.000.002
Bed5I-GRYLD0.380.3330.240.093
Bed5I-PTHT0.410.1819.883.181
Drip-DTHD0.930.0537.272.563
Drip-GNVI0.430.1430.000.002
Drip-GRYLD0.550.1820.170.083
Drip-PTHT0.610.16328.8412.683
Ave0.580.172.7510.624.072.58
  • Mean and SE of the estimated correlations and MSPE from the 10-fold cross-validation CV1. The BMTME model was fitted using unstructured (U), diagonal (D), and standard (S) variance–covariance matrices. Environment (Bed2I, Bed5I, Drip)–trait [days to heading (DTHD), GNDVI, grain yield (GRYLD), and plant height (PTHT)] combination. Method stands for the three variance–covariance matrices used with the BMTME.

  • a Since three BMTME models are fitted (unstructured, diagonal, and standard), the values of the ranks ranged from 1 to 3, and the lower the values, the better the prediction accuracy. For ties, we assigned the average of the ranks that would have been assigned had there been no ties.