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. 2020 Oct 22;11:559697. doi: 10.3389/fpls.2020.559697

TABLE 1.

Best fit models of cone length (cm) based on 65 Pinus strobiformis stands in Mexico and United States.

Method of variable selection Machine learning algorithm Independent variable RMSE MAE R2
PLS rf GSP, WINP, SMRPB, Pseudotsuga menziesii, P. cooperi, Arbutus xalapensis 1.755 1.477 0.890
PLS brnn GSP, WINP, SMRPB, Pseudotsuga menziesii, P. cooperi, Arbutus xalapensis 1.832 1.514 0.867
ROC lm GSP, Pseudotsuga menziesii, MAT, SMRPB, P. arizonica, J. deppeana 1.939 1.536 0.865
PLS mlpWeightDecay GSP, WINP, SMRPB, Pseudotsuga menziesii, P. cooperi, Arbutus xalapensis 5.599 4.971 0.191
KW avNNet GSP, MAT, Pseudotsuga menziesii, P. strobiformis, P. arizonica, SMRPB 17.852 17.125 0.658
KW nnet GSP, MAT, Pseudotsuga menziesii, P. strobiformis, P. arizonica, SMRPB 17.856 17.128 0.621

PLS = Partial Least Squares, ROC = Receiver Operating Characteristic, KW = Kruskal Wallis, rf = Random Forest, brnn = Bayesian Regularized Neural Networks, lm = linear regression, mlpWeightDecay = Multi-Layer Perceptron, nnet = Neural Network, avNNet = Model Averaged Neural Network, RMSE = Root-mean-square error, MAE = Mean Absolute Error, R2 = R squared, GSP = Growing season precipitation, April to September, Pseudotsuga menziesii = frequency of occurrence of Pseudotsuga menziesii in the neighborhood, SMRPB = Summer precipitation balance: (jul+aug+sep)/(apr+may+jun), Juniperus deppeana = frequency of occurrence of Juniperus deppeana in the neighborhood, P. arizonica = frequency of occurrence of P. arizonica in the neighborhood, P. strobiformis = frequency of occurrence of P. strobiformis in the neighborhood, P. cooperi = frequency of occurrence of P. cooperi in the neighborhood, Arbutus xalapensis = frequency of occurrence of Arbutus xalapensis, Arctostaphylos pungens = frequency of occurrence of Arctostaphylos pungens MAT = Mean annual temperature (degrees C), WINP = Winter precipitation: (nov+dec+jan+feb).