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Table 5

Statistical summary of bias-corrected CCSM3-MM5 daily rainfall (1970–1999)

(a) Whole data subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.25 3.22 3.42 3.43 3.43 2.70 2.21 2.91 3.06 3.06 3.07 
Max 94.5 54.9 44.5 32.7 36.3 66.3 57.9 43.1 63.0 54.8 54.9 54.2 54.5 
Std 7.6 4.8 4.6 4.3 4.9 5.2 4.6 5.0 5.1 4.9 4.8 4.8 4.8 
Variance 58.2 23.5 20.8 18.3 24.3 27.7 20.8 24.7 25.9 23.9 23.1 23.1 23.1 
RMSE 8.2  5.8 5.6 6.0 6.4 5.9 6.1 6.4 6.0 5.9 5.9 5.9 
MAE 4.1  3.4 3.3 3.5 3.6 3.5 3.3 3.3 3.3 3.3 3.3 3.3 
(b) Seasonal subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.17 3.13 3.07 3.36 3.26 2.72 2.23 2.89 3.01 3.01 3.02 
Max 94.5 54.9 44.9 36.8 51.9 64.9 57.5 42.8 60.0 52.7 54.9 54.4 55.0 
Std 7.6 4.8 4.4 4.3 4.3 5.4 4.6 5.0 5.1 4.9 4.8 4.8 4.8 
Variance 58.2 23.5 19.4 18.3 18.3 29.3 21.5 24.6 25.8 23.9 23.4 23.3 23.3 
RMSE 8.2  5.7 5.6 5.7 6.6 6.0 6.2 6.4 6.1 6.0 6.0 6.0 
MAE 4.1  3.3 3.2 3.2 3.7 3.4 3.4 3.4 3.3 3.3 3.3 3.3 
(c) Monthly subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.3 3.3 3.5 3.4 3.2 2.7 2.1 2.8 3.0 3.0 3.0 
Max 94.5 54.9 87.7 57.2 166.5 152.3 67.8 49.0 74.9 55.0 54.9 53.8 55.2 
Std 7.6 4.8 4.6 4.5 6.2 6.0 4.4 4.9 4.7 4.8 4.8 4.8 4.9 
Variance 58.2 23.5 21.1 20.8 39.0 35.5 19.7 24.4 22.5 23.6 23.2 23.3 23.9 
RMSE 8.2  5.8 5.7 7.2 6.9 6.2 6.2 6.1 6.0 6.0 6.0 5.9 
MAE 4.1  3.3 3.3 3.5 3.5 3.2 3.4 3.2 3.3 3.2 3.3 3.3 
(a) Whole data subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.25 3.22 3.42 3.43 3.43 2.70 2.21 2.91 3.06 3.06 3.07 
Max 94.5 54.9 44.5 32.7 36.3 66.3 57.9 43.1 63.0 54.8 54.9 54.2 54.5 
Std 7.6 4.8 4.6 4.3 4.9 5.2 4.6 5.0 5.1 4.9 4.8 4.8 4.8 
Variance 58.2 23.5 20.8 18.3 24.3 27.7 20.8 24.7 25.9 23.9 23.1 23.1 23.1 
RMSE 8.2  5.8 5.6 6.0 6.4 5.9 6.1 6.4 6.0 5.9 5.9 5.9 
MAE 4.1  3.4 3.3 3.5 3.6 3.5 3.3 3.3 3.3 3.3 3.3 3.3 
(b) Seasonal subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.17 3.13 3.07 3.36 3.26 2.72 2.23 2.89 3.01 3.01 3.02 
Max 94.5 54.9 44.9 36.8 51.9 64.9 57.5 42.8 60.0 52.7 54.9 54.4 55.0 
Std 7.6 4.8 4.4 4.3 4.3 5.4 4.6 5.0 5.1 4.9 4.8 4.8 4.8 
Variance 58.2 23.5 19.4 18.3 18.3 29.3 21.5 24.6 25.8 23.9 23.4 23.3 23.3 
RMSE 8.2  5.7 5.6 5.7 6.6 6.0 6.2 6.4 6.1 6.0 6.0 6.0 
MAE 4.1  3.3 3.2 3.2 3.7 3.4 3.4 3.4 3.3 3.3 3.3 3.3 
(c) Monthly subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 3.3 2.98 3.3 3.3 3.5 3.4 3.2 2.7 2.1 2.8 3.0 3.0 3.0 
Max 94.5 54.9 87.7 57.2 166.5 152.3 67.8 49.0 74.9 55.0 54.9 53.8 55.2 
Std 7.6 4.8 4.6 4.5 6.2 6.0 4.4 4.9 4.7 4.8 4.8 4.8 4.9 
Variance 58.2 23.5 21.1 20.8 39.0 35.5 19.7 24.4 22.5 23.6 23.2 23.3 23.9 
RMSE 8.2  5.8 5.7 7.2 6.9 6.2 6.2 6.1 6.0 6.0 6.0 5.9 
MAE 4.1  3.3 3.3 3.5 3.5 3.2 3.4 3.2 3.3 3.2 3.3 3.3 

Remark:1. The underlined values refer to the best statistical performance of each bias correction group.

2. The underlined with bold text values represent the best statistical performance of all 11 bias correction transformations.

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