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Decision rule (1) above states that if the amount of monthly precipitation at Bandar Abbas is equal or less than 3.55 mm and the monthly precipitation at Kish Island is equal or less than 0.15 mm, then monthly precipitation in Bandar Lengeh is calculated from Equation (12). Rule 2 states that if the monthly precipitation at Kish Island is equal to or less than 24.7, then the monthly precipitation at Bandar Lengeh is calculated using Equation (13). According to rule 3, in other situations, the amount of monthly precipitation at Bandar Lengeh is computed using Equation (14). The results obtained from various classic statistical methods and the M5 decision tree model are presented in Table 5.

Table 5

Performance criteria values for different methods of estimating missing monthly rainfall data

MethodRN-SRMSE (mm)MAE (mm)Mean (mm)Variance (mm)
 Test phase – – – – 5.682 14.838 
Classical statistical methods AA 0.95 0.86 5.65 2.78 7.136 17.135 
MLR 0.93 0.87 5.49 2.61 5.897 13.026 
NIPALS 0.94 0.86 5.61 3.25 7.149 15.602 
NR 0.90 0.73 7.992 3.82 8.32 17.091 
IDWM 0.90 0.75 7.70 3.85 8.065 16.792 
MI 0.83 0.53 10.56 8.41 12.508 13.3 
LR 0.65 0.46 11.22 50.00 4.985 8.142 
UK 0.65 0.47 11.16 4.97 4.525 8.846 
SIB 0.65 0.47 11.19 4.60 5.553 10.855 
Data mining method M5 0.95 0.89 5.01 2.48 4.621 12.293 
MethodRN-SRMSE (mm)MAE (mm)Mean (mm)Variance (mm)
 Test phase – – – – 5.682 14.838 
Classical statistical methods AA 0.95 0.86 5.65 2.78 7.136 17.135 
MLR 0.93 0.87 5.49 2.61 5.897 13.026 
NIPALS 0.94 0.86 5.61 3.25 7.149 15.602 
NR 0.90 0.73 7.992 3.82 8.32 17.091 
IDWM 0.90 0.75 7.70 3.85 8.065 16.792 
MI 0.83 0.53 10.56 8.41 12.508 13.3 
LR 0.65 0.46 11.22 50.00 4.985 8.142 
UK 0.65 0.47 11.16 4.97 4.525 8.846 
SIB 0.65 0.47 11.19 4.60 5.553 10.855 
Data mining method M5 0.95 0.89 5.01 2.48 4.621 12.293 

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