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. 2023 Jul 24;14:1209275. doi: 10.3389/fgene.2023.1209275

TABLE 7.

G2F_2015 data. Count of the number of times a model was better than another in terms of Normalized Root Mean Squared Error (NRMSE), both by environments and by traits. Prediction accuracy in terms of NRMSE. b0 denotes the absolute values of the intercept and b denotes the absolute value of 1-slope. Under an ideal model both b0 and b should be equal to zero. Relative efficiency (RE) or each model in percentage was computed regarding model M0 without environmental covariates. When the percentage is positive there is a gain in prediction accuracy regarding M0, while when the percentage is negative there is a loss in terms of prediction accuracy of any model regarding M0.

Model Env Trait NRMSE NRMSE Cor Cor b0 b0 b b
Won % Won % RE (%) RE (%) RE (%) RE (%)
Models Models
M0 340 35.42 30 37.50 9.411 0.00 0.523 0.00 0.336 0.00 0.090 0.00
M1 408 42.50 33 41.25 3.641 158.46 0.524 0.21 1.461 −76.97 0.098 −8.39
M2 307 31.98 26 32.50 9.015 4.39 0.480 −8.19 1.172 −71.30 0.050 79.46
M3 326 33.96 32 40.00 3.199 194.19 0.523 0.06 0.974 −65.47 0.092 −2.16
M4 264 27.50 17 21.25 4.643 102.67 0.443 −15.28 0.914 −63.18 0.166 −46.04
M5 309 32.19 26 32.50 3.794 148.04 0.523 0.10 0.788 −57.32 0.098 −8.76
M6 317 33.02 23 28.75 4.051 132.33 0.523 0.10 0.679 −50.48 0.092 −2.24
M7 287 29.90 17 21.25 4.492 109.48 0.442 −15.41 1.038 −67.59 0.167 −46.26
M8 293 30.52 26 32.50 5.929 58.73 0.439 −16.00 0.974 −65.47 0.166 −46.09
M9 246 25.63 6 7.50 5.145 82.90 0.473 −9.48 2.157 −84.40 0.070 28.20
M10 313 32.60 23 28.75 2.953 218.71 0.437 −16.46 0.964 −65.11 0.052 72.63
M11 309 32.19 26 32.50 4.114 128.75 0.475 −9.08 0.815 −58.72 0.164 −45.25
M12 445 46.35 46 57.50 3.213 192.86 0.486 −6.97 0.395 −14.86 0.134 −33.06
M13 442 46.04 50 62.50 3.139 199.82 0.522 −0.12 1.915 −82.43 0.094 −4.53
M14 424 44.17 39 48.75 3.793 148.10 0.522 −0.21 1.001 −66.37 0.084 6.35