1�������������������������� ��(2005), 529-535. 2) Ogata, Y., Geophys. Res. Let., 33 (2006) doi:10.1029/2005GL024405. 3)������������������������� � (2005), 83-88��4) Ogata, Y., L. M. Jones, and S. Toda, J. Geophys. Res., 108 (2003), doi:10.1029/2002JB002009.5) Ogata, Y., J. Geophys. Res., 106, (2001), 8729-8744.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
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Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
Fig. 1. The increasing function of time that is obtained by integrating the Omori-Utsu (modified Omori) formula is used to transform the occurrence times to the uniformly distributed occurrences (stationary Poisson process) if the formula fits the data accurately. Then we discriminate anomalous zones of the space-time plots of actual aftershocks with the transformed time axis. We allow large c-value for the low detection rate in the beginning.
Fig. 2. Space-time plot of depth, latitude or longitude against the transformed time, where we see no conspicuous gap of (relative) quiescence nor migration of activity, or allowing the examples showing a slight diffusion of the activity (e.g., the Kobe case).�
������������������CFS�����������Fig. 3. Space-time plot of depth, latitude or longitude against the transformed time, where we see a
reduction of aftershock area, conspicuous gaps of quiescence (sparser configuration of points) or migration of activity (i.e., quiescence on one side and activation on the other side) before the largest aftershock. In this case the Omori-Utsu formula is fitted to the sequence till the largest aftershock, and then it is extrapolated. The Coulomb-stress increments are calculated assuming the precursory slow slip in or around the rupture fault of the largest aftershock to see whether the �CFS pattern corresponds to the sparse gap or the migrating pattern of aftershocks.
![Final remark on power-law distributions - BGU · Modi ed Omori Law [Omori, 1894; Utsu, 1961] Omori studied the 1891 Nobi earthquake (Japan), and noticed that aftershock decay rate](https://static.documents.pub/doc/80x56/6061986b3ef8565c571218e9/final-remark-on-power-law-distributions-modi-ed-omori-law-omori-1894-utsu.jpg)