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Table 8 Regression coefficients at different integration times for two empirical methods

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

Sites

5- to 1-min

10- to 1-min

20- to 1-min

30- to 1-min

60- to 1-min

a

b

c

a

b

c

a

b

c

a

b

c

a

b

c

Second order polynomial fit

 Gwangju

−0.004446

1.823

−25.820

−0.003514

1.858

−27.860

−0.00371

2.0450

−33.84

−0.003104

1.896

−26.65

0.01171

0.50630

10.52

 Daegu

−0.002042

1.471

−11.390

−0.009772

2.609

−42.530

−0.01473

3.4670

−66.93

−0.039300

6.433

−143.10

−0.05993

8.99600

−206.50

 Daejeon

−0.003097

1.594

−16.650

−0.008587

2.390

−39.260

0.00776

0.6405

8.51

0.065670

−5.184

150.50

0.08980

−7.30400

197.10

 Busan

0.002808

0.809

3.585

0.003440

0.947

−6.733

0.00802

0.3478

13.52

0.013190

−0.309

34.91

0.03248

−3.06700

131.80

 Seogwipo

−0.001491

1.379

−14.580

−0.006384

2.091

−35.820

−0.00658

2.0510

−30.51

−0.003942

1.671

−17.08

−0.00673

2.10900

−32.39

 Seoul

0.002830

1.080

−9.231

0.006991

0.629

5.800

0.02882

−1.4320

55.99

0.066520

−5.381

159.20

0.05212

−2.98700

80.81

 Ulsan

−0.003611

1.379

−5.937

−0.000816

0.740

21.750

−0.00003

0.1376

51.20

0.000134

0.135

50.15

0.00152

0.00574

49.92

 Incheon

0.002014

0.868

2.733

0.025030

−2.231

106.900

0.04558

−4.9000

192.90

0.055120

−6.066

228.60

0.03645

−3.53000

144.60

 Chuncheon

0.001093

1.008

−0.290

−0.007152

2.275

−35.180

−0.00322

2.1280

−29.99

−0.006939

2.839

−48.06

−0.04960

7.20700

−139.80

 Average

−0.000660

1.268

−8.620

−0.000085

1.256

−5.881

0.00688

0.4983

17.87

0.016372

−0.441

43.16

0.01198

0.21512

26.23

Model 3

 Gwangju

−0.0100600

0.8060000

−25.820

−0.008008

0.8156

−27.86

−0.008836

0.8589

−33.84

−0.007133

0.825

−26.65

0.01649

0.3593

10.52

 Daegu

−0.0041950

0.7158000

−11.390

−0.026380

0.9665

−42.53

−0.046380

1.1010

−66.93

−0.185200

1.365

−143.10

−0.37120

1.4520

−206.50

 Daejeon

−0.0065930

0.7490000

−16.650

−0.022160

0.9260

−39.26

0.011720

0.4240

8.51

0.006760

−1.008

37.66

0.00552

−1.0050

55.55

 Busan

0.0045870

0.4954000

3.585

0.005924

0.5496

−6.73

0.010380

0.2686

13.52

0.007718

−0.528

34.91

0.00377

−1.0040

62.33

 Seogwipo

−0.0029810

0.6898000

−14.580

−0.015410

0.8661

−35.82

−0.015740

0.8570

−30.51

−0.008575

0.768

−17.08

−0.01632

0.8696

−32.39

 Seoul

0.0051160

0.5974000

−9.231

0.010510

0.4184

5.80

0.006044

−1.0060

43.22

0.006662

−1.006

42.80

0.00712

−1.0070

45.80

 Ulsan

−0.0072380

0.6880000

−5.937

−0.001300

0.4646

21.75

−0.000031

0.1218

51.20

0.000151

0.120

50.15

0.00152

0.0057

49.92

 Incheon

0.0033710

0.5186000

2.733

0.003480

−1.0030

61.28

0.004942

−1.0050

36.59

0.004884

−1.004

39.78

0.00332

−1.0040

64.99

 Chuncheon

0.0019310

0.5708000

−0.290

−0.017990

0.9045

−35.18

−0.007798

0.8777

−29.99

−0.019460

1.012

−48.06

−0.25730

1.3890

−139.80

 Average

−0.0017847

0.6478667

−8.620

−0.007926

0.5454

−10.95

−0.005078

0.2776

−0.91

−0.021577

0.060

−3.29

−0.06745

0.0062

−9.95