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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