Table 4 Goodness of fit test of copula function.

From: Temporal and spatial response of agricultural drought to meteorological drought in inner Mongolia plateau inland river basin

Copula function

Clayton

Frank

Gaussian

Gumbel

t

Optimal copula

argument

Duration - Duration

AIC

77.75

81.31

77.65

82.04

79.75

Gaussian

0.816

BIC

79.09

82.65

78.99

83.37

82.41

RMSE

0.097

0.093

0.090

0.099

0.091

Severity - Severity

AIC

79.54

85.48

83.45

86.99

93.95

Clayton

1.672

BIC

80.87

86.11

84.78

88.33

86.62

RMSE

0.067

0.071

0.073

0.081

0.071

Area - Area

AIC

79.56

86.55

83.63

88.15

85.29

Clayton

1.540

BIC

80.89

87.88

84.96

89.48

87.96

RMSE

0.065

0.068

0.064

0.071

0.063