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Table 4

Statistical summary of bias-corrected ECHAM5-MM5 daily rainfall (1971–2000)

(a) Whole data subsample
Method/statisticModObs(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
BGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 3.00 2.92 2.66 3.38 2.97 2.99 2.60 2.89 2.98 2.97 2.97 
Max 243.8 54.9 69.2 48.1 36.9 112.0 79.9 64.0 84.6 50.3 49.1 49.4 53.0 
Std 14.1 4.8 4.7 4.2 3.6 6.4 4.7 4.8 4.9 4.9 4.9 4.8 4.8 
Variance 200.0 23.1 22.1 17.9 13.0 41.6 22.4 22.8 24.1 23.6 23.7 23.2 23.4 
RMSE 14.6  5.8 5.4 5.1 7.1 5.8 5.8 6.0 5.9 5.9 5.8 5.9 
MAE 6.8  3.1 3.1 2.9 3.6 3.1 3.2 3.1 3.2 3.2 3.2 3.20 
(b) Seasonal subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBW-BLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 2.97 2.95 2.70 3.34 2.98 2.98 2.61 2.91 2.97 2.97 2.97 
Max 243.8 54.9 70.8 59.9 42.6 100.4 77.1 61.9 83.3 49.0 54.9 48.8 53.1 
Std 14.1 4.8 4.7 4.5 3.8 6.2 4.7 4.8 4.9 4.84 4.8 4.8 4.8 
Variance 200.0 23.1 22.4 20.5 14.4 38.8 22.5 22.9 24.1 23.5 23.1 23.1 23.4 
RMSE 14.6  5.8 5.6 5.2 7.0 5.8 5.8 6.1 5.9 5.9 5.8 5.9 
MAE 6.8  3.1 3.1 2.9 3.6 3.1 3.2 3.2 3.2 3.2 3.2 3.2 
(c) Monthly subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 2.97 2.96 2.83 3.35 2.98 2.96 2.60 2.90 2.97 2.97 2.98 
Max 243.8 54.9 58.8 48.2 45.8 112.7 62.6 47.9 69.6 42.6 54.9 47.5 55.5 
Std 14.1 4.8 4.8 4.6 4.3 6.6 4.7 4.8 4.8 4.8 4.8 4.8 4.9 
Variance 200.0 23.1 23.4 21.5 18.7 43.2 22.0 22.9 23.4 23.3 23.1 23.1 23.6 
RMSE 14.6 5.9 5.7 5.5 7.4 5.8 5.8 6.0 5.9 5.9 5.9 5.9 
MAE 6.8 3.1 3.1 2.9 3.6 3.1 3.2 3.2 3.2 3.2 3.2 3.2 
(a) Whole data subsample
Method/statisticModObs(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
BGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 3.00 2.92 2.66 3.38 2.97 2.99 2.60 2.89 2.98 2.97 2.97 
Max 243.8 54.9 69.2 48.1 36.9 112.0 79.9 64.0 84.6 50.3 49.1 49.4 53.0 
Std 14.1 4.8 4.7 4.2 3.6 6.4 4.7 4.8 4.9 4.9 4.9 4.8 4.8 
Variance 200.0 23.1 22.1 17.9 13.0 41.6 22.4 22.8 24.1 23.6 23.7 23.2 23.4 
RMSE 14.6  5.8 5.4 5.1 7.1 5.8 5.8 6.0 5.9 5.9 5.8 5.9 
MAE 6.8  3.1 3.1 2.9 3.6 3.1 3.2 3.1 3.2 3.2 3.2 3.20 
(b) Seasonal subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBW-BLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 2.97 2.95 2.70 3.34 2.98 2.98 2.61 2.91 2.97 2.97 2.97 
Max 243.8 54.9 70.8 59.9 42.6 100.4 77.1 61.9 83.3 49.0 54.9 48.8 53.1 
Std 14.1 4.8 4.7 4.5 3.8 6.2 4.7 4.8 4.9 4.84 4.8 4.8 4.8 
Variance 200.0 23.1 22.4 20.5 14.4 38.8 22.5 22.9 24.1 23.5 23.1 23.1 23.4 
RMSE 14.6  5.8 5.6 5.2 7.0 5.8 5.8 6.1 5.9 5.9 5.8 5.9 
MAE 6.8  3.1 3.1 2.9 3.6 3.1 3.2 3.2 3.2 3.2 3.2 3.2 
(c) Monthly subsample
(1) Distribution-derived TF
(2) Parametric TF
(3) Nonparametric TF
Method/statisticModObsBGBWBLBEPTLPTPPTSPTEEQLREQLSS
Mean 7.49 2.97 2.97 2.96 2.83 3.35 2.98 2.96 2.60 2.90 2.97 2.97 2.98 
Max 243.8 54.9 58.8 48.2 45.8 112.7 62.6 47.9 69.6 42.6 54.9 47.5 55.5 
Std 14.1 4.8 4.8 4.6 4.3 6.6 4.7 4.8 4.8 4.8 4.8 4.8 4.9 
Variance 200.0 23.1 23.4 21.5 18.7 43.2 22.0 22.9 23.4 23.3 23.1 23.1 23.6 
RMSE 14.6 5.9 5.7 5.5 7.4 5.8 5.8 6.0 5.9 5.9 5.9 5.9 
MAE 6.8 3.1 3.1 2.9 3.6 3.1 3.2 3.2 3.2 3.2 3.2 3.2 

Remark: 1. The underlined values refer to 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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