TABLE 2.
Best fit models of seed weight (g), based on 65 Pinus strobiformis stands in Mexico and United States.
Method of variable selection | Machine learning algorithm | Independent variables | RMSE | MAE | R2 |
ROC | lm | GSP, Pseudotsuga menziesii, MAT, SMRPB, P. arizonica, J. deppeana | 0.039 | 0.033 | 0.798 |
KW | brnn | GSP, MAT, Pseudotsuga menziesii, P. strobiformis, P. arizonica, SMRPB | 0.040 | 0.031 | 0.780 |
KW | rf | GSP, MAT, Pseudotsuga menziesii, P. strobiformis, P. arizonica, SMRPB | 0.041 | 0.033 | 0.752 |
PLS | avNNet | DD0, Pseudotsuga menziesii, P. arizonica, Arctostaphylos pungens, Arbutus xalapensis, SMRPB | 0.043 | 0.037 | 0.769 |
PLS | nnet | DD0, Pseudotsuga menziesii, P. arizonica, Arctostaphylos pungens, Arbutus xalapensis, SMRPB | 0.048 | 0.039 | 0.738 |
PLS | mlpWeightDecay | DD0, Pseudotsuga menziesii, P. arizonica, Arctostaphylos pungens, Arbutus xalapensis, SMRPB | 0.075 | 0.061 | 0.468 |
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, Arbutus xalapensis = frequency of occurrence of Arbutus xalapensis in the neighborhood, Arctostaphylos pungens = frequency of occurrence of Arctostaphylos pungens in the neighborhood, MAT = Mean annual temperature (degrees C), P. strobiformis = frequency of occurrence of P. strobiformis in the neighborhood, DD0 = Degree-days < 0 degrees C (based on mean monthly temperature).