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

TABLE 8.

G2F_2016 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 447 31.04 23 28.75 4.312 0.00 0.493 0.00 0.479 0.00 0.089 0.00
M1 502 34.86 30 37.50 6.009 −28.24 0.491 −0.34 0.088 444.83 0.098 −9.21
M2 440 30.56 17 21.25 3.522 22.44 0.471 −4.45 1.278 −62.48 0.011 725.99
M3 558 38.75 32 40.00 3.399 26.85 0.492 −0.22 0.157 205.09 0.101 −11.68
M4 470 32.64 17 21.25 3.799 13.51 0.400 −18.78 0.880 −45.50 0.119 −25.45
M5 560 38.89 35 43.75 3.573 20.70 0.492 −0.26 0.381 25.98 0.093 −4.61
M6 593 41.18 38 47.50 4.154 3.81 0.492 −0.13 0.084 467.90 0.104 −14.20
M7 477 33.13 27 33.75 4.211 2.39 0.401 −18.73 0.889 −46.07 0.118 −24.74
M8 472 32.78 28 35.00 3.552 21.38 0.401 −18.69 0.796 −39.78 0.113 −21.29
M9 297 20.63 3 3.75 5.933 −27.32 0.430 −12.69 0.667 −28.09 0.003 2,916.95
M10 492 34.17 22 27.50 4.925 −12.45 0.406 −17.54 0.624 −23.17 0.151 −40.99
M11 479 33.26 30 37.50 6.058 −28.82 0.444 −9.87 1.014 −52.72 0.041 116.41
M12 542 37.64 33 41.25 4.589 −6.03 0.457 −7.39 1.381 −65.29 0.005 1,645.10
M13 618 42.92 43 53.75 3.474 24.13 0.492 −0.18 0.604 −20.59 0.093 −4.79
M14 604 41.94 42 52.50 3.436 25.50 0.492 −0.20 0.565 −15.12 0.092 −3.58