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Table 2 Results from fitting the ETAS model to the original and replenished datasets

From: Data completeness of the Kumamoto earthquake sequence in the JMA catalog and its influence on the estimation of the ETAS parameters

\(m_c\)

Original

Replenished

N

\(\mu\)

K

c

\(\alpha\)

p

N

\(\mu\)

K

c

\(\alpha\)

p

1.0

5205

7.181

.0522

.0138

0.227

1.471

12979

20.487

.0019

.0066

2.011

1.102

1.1

4862

6.552

.0535

.0127

0.265

1.431

12297

18.637

.0023

.0065

2.006

1.101

1.2

4519

5.952

.0541

.0114

0.312

1.390

10953

15.779

.0026

.0065

2.002

1.103

1.3

4165

5.697

.0541

.0089

0.415

1.291

9601

13.776

.0026

.0066

2.010

1.104

1.4

3823

5.273

.0551

.0072

0.549

1.210

8344

11.466

.0029

.0068

2.003

1.111

1.5

3536

5.151

.0517

.0062

0.694

1.147

7327

10.020

.0029

.0069

2.024

1.107

1.6

3289

4.622

.0473

.0062

0.791

1.136

6441

8.450

.0032

.0070

2.017

1.110

1.7

2995

3.885

.0426

.0068

0.873

1.150

5540

6.778

.0033

.0070

2.023

1.105

1.8

2765

3.881

.0381

.0074

0.998

1.136

4811

6.125

.0034

.0070

2.030

1.103

1.9

2549

3.454

.0347

.0078

1.095

1.129

4188

4.988

.0034

.0067

2.053

1.093

2.0

2324

2.995

.0319

.0087

1.161

1.143

3617

4.233

.0039

.0069

2.034

1.102

2.1

2095

2.467

.0288

.0099

1.240

1.158

3075

3.272

.0036

.0070

2.068

1.094

2.2

1880

1.948

.0268

.0104

1.311

1.153

2666

2.491

.0041

.0076

2.055

1.105

2.3

1699

1.830

.0244

.0112

1.388

1.153

2301

2.182

.0040

.0073

2.082

1.092

2.4

1533

1.385

.0223

.0114

1.465

1.144

1996

1.621

.0040

.0074

2.098

1.088

2.5

1378

1.132

.0217

.0115

1.487

1.163

1743

1.327

.0044

.0073

2.095

1.095

2.6

1214

.756

.0196

.0112

1.554

1.155

1456

.849

.0046

.0072

2.098

1.082

2.7

1068

.736

.0180

.0121

1.604

1.172

1238

.786

.0055

.0081

2.059

1.102

2.8

937

.559

.0161

.0119

1.676

1.157

1082

.581

.0054

.0079

2.084

1.106

2.9

825

.426

.0139

.0119

1.768

1.138

931

.438

.0055

.0080

2.100

1.101

3.0

721

.358

.0129

.0110

1.814

1.131

792

.365

.0065

.0070

2.063

1.093

3.1

619

.215

.0117

.0105

1.865

1.124

664

.219

.0074

.0076

2.034

1.101

3.2

523

.073

.0088

.0117

1.977

1.137

539

.073

.0073

.0092

2.046

1.117

3.3

442

.073

.0087

.0107

1.977

1.155

452

.073

.0076

.0091

2.023

1.142

3.4

362

.072

.0069

.0109

2.059

1.162

367

.072

.0066

.0096

2.076

1.150

3.5

305

.073

.0077

.0091

2.021

1.157

306

.073

.0080

.0090

2.010

1.155

3.6

256

.072

.0078

.0090

2.023

1.164

256

.072

.0078

.0090

2.023

1.164

3.7

208

.073

.0076

.0074

2.029

1.149

208

.073

.0076

.0074

2.029

1.149

3.8

173

.073

.0083

.0076

1.986

1.176

173

.073

.0083

.0076

1.986

1.176

  1. N number of earthquakes in the datasets, \(m_c\) magnitude threshold