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Table 12 Mean error obtained after testing over the interval [0.001–0.1 %]

From: Rain rate modeling of 1-min from various integration times in South Korea

Methods

5–1 min

10–1 min

20–1 min

30–1 min

60–1 min

Error \(\upvarepsilon\) (%)

SD (%)

RMSE (%)

Error \(\upvarepsilon\) (%)

SD (%)

RMSE (%)

Error \(\upvarepsilon\) (%)

SD (%)

RMSE (%)

Error \(\upvarepsilon\) (%)

SD (%)

RMSE (%)

Error \(\upvarepsilon\) (%)

SD (%)

RMSE (%)

ITU-R P.837-6

5.19

11.35

13.57

13.73

12.26

19.02

43.28

19.18

42.25

71.19

25.28

67.55

115.36

36.92

106.06

Segal

4.80

9.12

10.96

18.77

31.19

40.76

60.70

39.78

66.97

58.82

32.66

62.00

41.11

26.69

58.84

Burgueno et al.

72.98

15.54

65.80

284.49

109.89

312.35

557.54

211.91

569.30

599.16

200.34

599.28

658.11

186.55

618.01

Chebil and Rahman

1.75

8.93

10.27

−330.25

62.01

310.36

−29.65

18.88

45.46

−140.27

10.67

119.68

10.59

21.48

28.93

Logarithmic

1.01

9.08

10.47

5.42

28.75

36.63

9.15

28.53

36.07

7.06

23.66

31.11

6.08

21.48

29.96

Global coefficients

3.64

9.33

10.97

20.31

37.19

48.47

47.88

45.04

62.63

63.61

44.77

75.64

126.04

58.16

129.48

Second order polynomial fit

1.11

8.61

10.07

9.58

28.57

35.94

47.45

71.49

87.30

54.35

77.38

102.41

29.60

40.11

55.15

Third order polynomial fit

0.43

6.08

6.74

73.05

210.12

267.44

430.31

615.18

760.93

573.37

908.49

1210.06

−23.02

39.11

48.93

Model 1

0.89

7.81

9.06

1803.39

5106.40

6499.55

2850.68

4053.98

5046.73

2385.65

4108.23

5477.02

−590.12

829.88

1161.87

Model 2

0.71

9.39

11.06

13.44

49.90

63.71

32.72

59.61

75.06

13.79

43.35

60.33

4.28

31.95

49.08

Model 3

−3.38

8.01

10.50

−79.39

60.35

122.56

−108.42

29.39

109.67

−260.77

101.92

287.08

−506.55

180.25

530.17