Table 3.
Comparison of predictive capabilities for MARS, SVM, MLP models.
Parameter | First Layer | Second Layer | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Learning | Testing | Learning | Testing | |||||||||
R | MAE | MAPE | R | MAE | MAPE | R | MAE | MAPE | R | MAE | MAPE | |
MARS | ||||||||||||
P (t = 1) | 0.60 | 4.00 | 20.58 | 0.43 | 5.10 | 31.20 | 0.58 | 2.79 | 18.14 | 0.50 | 3.21 | 22.77 |
P (t = 2) | 0.58 | 3.82 | 19.95 | 0.51 | 4.37 | 29.04 | 0.62 | 2.73 | 17.95 | 0.52 | 3.08 | 22.05 |
P (t = 3) | 0.60 | 3.66 | 19.37 | 0.51 | 4.34 | 26.66 | 0.60 | 2.64 | 17.58 | 0.55 | 2.95 | 21.15 |
P (t = 4) | 0.46 | 3.52 | 18.87 | 0.57 | 3.92 | 24.16 | 0.59 | 2.64 | 17.78 | 0.58 | 2.78 | 20.09 |
P (t = 5) | 0.63 | 3.38 | 18.05 | 0.61 | 3.67 | 22.63 | 0.60 | 2.62 | 17.59 | 0.62 | 2.63 | 19.10 |
P (t = 6) | 0.66 | 3.30 | 17.49 | 0.65 | 3.41 | 21.13 | 0.62 | 2.55 | 17.07 | 0.65 | 2.50 | 18.24 |
P (t = 7) | 0.67 | 3.20 | 16.90 | 0.66 | 3.31 | 20.41 | 0.66 | 2.48 | 16.63 | 0.67 | 2.39 | 17.50 |
P (me) | 0.68 | 3.19 | 16.90 | 0.65 | 3.36 | 20.57 | 0.66 | 2.48 | 16.63 | 0.68 | 2.38 | 17.45 |
T (t−1) | 0.60 | 3.89 | 20.04 | 0.39 | 5.45 | 33.19 | 0.61 | 2.69 | 17.55 | 0.48 | 3.31 | 23.27 |
Wilg (t−1) | 0.60 | 4.03 | 20.64 | 0.38 | 5.58 | 34.14 | 0.62 | 2.73 | 17.68 | 0.47 | 3.35 | 23.55 |
P (me), Tsr | 0.81 | 2.48 | 12.05 | 0.81 | 2.50 | 15.90 | 0.79 | 1.93 | 12.43 | 0.74 | 2.15 | 15.53 |
P (me), Wilgsr | 0.77 | 3.15 | 15.58 | 0.83 | 2.44 | 16.05 | 0.68 | 2.33 | 15.04 | 0.82 | 1.89 | 14.68 |
P (me), Wilgsr, Tsr | 0.85 | 2.45 | 12.03 | 0.92 | 2.07 | 12.22 | 0.82 | 1.96 | 12.62 | 0.94 | 1.55 | 11.28 |
MLP | ||||||||||||
P (t = 1) | 0.41 | 4.94 | 28.71 | 0.55 | 4.30 | 24.98 | 0.39 | 3.02 | 20.69 | 0.34 | 3.51 | 27.94 |
P (t = 2) | 0.53 | 4.57 | 26.63 | 0.52 | 4.37 | 24.59 | 0.42 | 3.16 | 22.94 | 0.52 | 3.13 | 22.23 |
P (t = 3) | 0.60 | 3.94 | 23.18 | 0.61 | 3.95 | 22.90 | 0.50 | 2.99 | 22.14 | 0.58 | 2.86 | 20.44 |
P (t = 4) | 0.67 | 3.46 | 20.03 | 0.71 | 3.64 | 20.08 | 0.58 | 2.39 | 16.71 | 0.59 | 2.86 | 21.16 |
P (t = 5) | 0.69 | 3.46 | 19.83 | 0.71 | 3.20 | 17.93 | 0.61 | 2.63 | 17.72 | 0.65 | 2.81 | 22.20 |
P (t = 6) | 0.76 | 2.84 | 16.76 | 0.72 | 3.00 | 17.00 | 0.66 | 2.16 | 15.53 | 0.63 | 2.79 | 20.53 |
P (t = 7) | 0.69 | 3.20 | 19.03 | 0.77 | 2.92 | 16.50 | 0.62 | 2.66 | 20.34 | 0.71 | 2.19 | 14.11 |
P (me) | 0.75 | 2.99 | 17.33 | 0.76 | 2.85 | 16.39 | 0.68 | 2.40 | 18.02 | 0.69 | 2.37 | 18.10 |
T (t−1) | 0.14 | 5.38 | 31.86 | 0.18 | 5.38 | 28.98 | 0.17 | 3.33 | 23.06 | 0.20 | 3.40 | 24.29 |
Wilg (t−1) | 0.21 | 5.20 | 30.09 | 0.29 | 5.59 | 33.47 | 0.28 | 3.38 | 23.26 | 0.17 | 4.17 | 30.34 |
P (me), Tsr | 0.81 | 2.54 | 16.90 | 0.80 | 2.71 | 15.50 | 0.65 | 2.56 | 18.47 | 0.73 | 2.37 | 17.24 |
P (me), Wilgsr | 0.76 | 2.89 | 17.17 | 0.83 | 2.33 | 13.18 | 0.65 | 2.24 | 16.33 | 0.65 | 2.31 | 18.07 |
P (me), Wilgsr, Tsr | 0.82 | 2.50 | 16.18 | 0.84 | 2.15 | 15.50 | 0.67 | 2.18 | 15.72 | 0.68 | 2.20 | 16.00 |
SVM | ||||||||||||
P (t = 1) | 0.43 | 4.57 | 23.43 | 0.31 | 4.75 | 26.12 | 0.33 | 3.11 | 21.38 | 0.13 | 3.08 | 21.53 |
P (t = 2) | 0.51 | 4.22 | 21.62 | 0.54 | 4.01 | 22.08 | 0.39 | 2.99 | 20.87 | 0.39 | 2.77 | 19.65 |
P (t = 3) | 0.56 | 3.89 | 20.18 | 0.68 | 3.45 | 19.52 | 0.45 | 2.87 | 20.50 | 0.52 | 2.57 | 18.63 |
P (t = 4) | 0.62 | 3.62 | 19.34 | 0.76 | 2.92 | 17.24 | 0.49 | 2.78 | 20.29 | 0.61 | 2.37 | 17.83 |
P (t = 5) | 0.67 | 3.32 | 18.01 | 0.74 | 3.05 | 18.02 | 0.56 | 2.62 | 19.34 | 0.56 | 2.42 | 18.21 |
P (t = 6) | 0.71 | 3.13 | 17.15 | 0.73 | 2.96 | 17.63 | 0.61 | 2.51 | 18.55 | 0.59 | 2.32 | 17.81 |
P (t = 7) | 0.73 | 2.98 | 16.35 | 0.72 | 2.99 | 17.53 | 0.65 | 2.41 | 17.68 | 0.61 | 2.29 | 17.16 |
P (me) | 0.74 | 2.92 | 16.35 | 0.73 | 2.95 | 17.05 | 0.68 | 2.32 | 17.15 | 0.62 | 2.26 | 16.56 |
T (t−1) | 0.20 | 5.14 | 28.43 | 0.18 | 5.74 | 33.92 | 0.19 | 3.26 | 23.50 | 0.13 | 3.28 | 24.62 |
Wilg (t−1) | 0.19 | 5.30 | 30.56 | 0.18 | 5.38 | 33.14 | 0.07 | 3.42 | 22.46 | 0.02 | 3.09 | 21.60 |
P (me), Tsr | 0.78 | 2.86 | 15.15 | 0.79 | 2.56 | 14.26 | 0.67 | 2.34 | 17.61 | 0.62 | 2.33 | 16.70 |
P (me), Wilgsr | 0.76 | 2.86 | 15.79 | 0.76 | 2.86 | 16.11 | 0.72 | 2.21 | 16.47 | 0.67 | 2.11 | 15.31 |
P (me), Wilgsr, Tsr | 0.83 | 2.42 | 13.74 | 0.84 | 2.39 | 13.47 | 0.67 | 2.35 | 17.46 | 0.64 | 2.16 | 15.85 |