Sensitivity analysis of the parameters of earthquake recurrence time power law scaling

Talbi, Abdelhak; Yamazaki, Fumio

doi:10.1007/s10950-008-9115-1

Cited by 14 publications

(6 citation statements)

References 29 publications

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“…6 shows also the interevent distribution, that is, the probability of finding a specific B between any two single avalanches in type-(ii) experiment. It also follows a power-law distribution as observed in earthquakes, human communication, and other complex systems [28][29][30]. The fact that the intervent distribution obeys a power law suggests that very small B's should be chosen if we intended to avoid the gathering of small avalanches into larger events.…”

Section: Zero-temperature Resultsmentioning

confidence: 91%

“…(ii) In the second, we monitor the intensity of the individual avalanches occurring when the external field achieves a critical value, follow the evolution of the single avalanches, and then study also the distance between consecutive critical external field values. This latter study allows to inspect the interevent distribution and to compare it to similar distributions that have been predicted or measured for recurrence times in earthquakes [28], human communication [29], or theoretical models [30].…”

Section: Zero-temperature Resultsmentioning

confidence: 92%

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Temperature-dependent criticality in random 2D Ising models

et al. 2021

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We consider 2D random Ising ferromagnetic models, where quenched disorder is represented either by random local magnetic fields (random-field Ising model) or by a random distribution of interaction couplings (random-bond Ising model). In both cases, we first perform zero- and finite-temperature Monte Carlo simulations to determine how the critical temperature depends on the disorder parameter. We then focus on the reversal transition triggered by an external field and study the associated Barkhausen noise. Our main result is that the critical exponents characterizing the power law associated with the Barkhausen noise exhibit a temperature dependence in line with existing experimental observations.

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Section: Zero-temperature Resultsmentioning

confidence: 91%

Section: Zero-temperature Resultsmentioning

confidence: 92%

Temperature-dependent criticality in random 2D Ising models

et al. 2021

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“…9 the distributions have been used without these values. Talbi and Yamazaki (2009) suggested a formula for inter-event time cutoff, but the values the formula determines exceed the chosen value leading to poor statistics significantly.…”

Section: Resultsmentioning

confidence: 99%

“…Nowadays, the attention paid to the statistics of the inter-event time (also called waiting time, interoccurrence time, etc.) between the consecutive earthquakes is continuously growing (Bak et al 2002, Corral 2004a, b, 2005Talbi and Yamazaki 2009, Lippiello et al 2012, Davidsen and Kwiatek 2013. Bak et al (2002) studied the distribution of the inter-event times ǻt between successive earthquakes for all earthquakes in different regions, by putting all events on the same footing (no distinction between mainshocks and aftershocks), therefore considering seismicity as a unique process.…”

Section: Introductionmentioning

confidence: 99%

Scaling Analysis of Time Distribution between Successive Earthquakes in Aftershock Sequences

Marekova

2016

Acta Geophys.

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A b s t r a c tThe earthquake inter-event time distribution is studied, using catalogs for different recent aftershock sequences. For aftershock sequences following the Modified Omori's Formula (MOF) it seems clear that the inter-event distribution is a power law. The parameters of this law are defined and they prove to be higher than the calculated value (2 -1/p). Based on the analysis of the catalogs, it is determined that the probability densities of the inter-event time distribution collapse into a single master curve when the data is rescaled with instantaneous intensity, R(t; M th ), defined by MOF. The curve is approximated by a gamma distribution. The collapse of the data provides a clear view of aftershock-occurrence self-similarity.

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“…This catalogue is commonly used in literature to perform several statistical checks and validations of algorithms and procedures that deal with different aspects of seismicity; thus, this catalogue works like a sort of benchmark in seismology. According to Talbi and Yamazaki (2009), the magnitude of completeness during the observation period is 2.5; therefore the number of events with magnitude larger or equal to 2.5 is 30,306.…”

Section: Datamentioning

confidence: 99%

Comparing seismicity declustering techniques by means of the joint use of Allan Factor and Morisita index

Telesca

Lovallo²,

Golay

et al. 2015

Stoch Environ Res Risk Assess

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In this paper, we propose to compare different declustering methods on the basis of the time-correlation and the space-clustering of the residual earthquake catalog after the declustering techniques have been applied. To this aim, we applied two point process clustering measures, the Allan Factor and the Morisita Index, for the identification and quantification of temporal correlation and spatial clustering in point processes, respectively. We used our joint space-time approach to study the earthquake spacetime point processes of southern California and Switzerland with surrounding area, declustered by using the method of Gardner and Knopoff (with Grünthal and Uhmhammer window) and that of Reasenberg (with different setting parameters). Our results show that the residual declustered catalog is still characterized by timecorrelated structures at long timescales; however, the cutoff timescale that is the lowest timescale above which the time-correlation is visible is higher with the Reasenberg method while is smaller with the Gardner and Knopoff method with Grünthal window. The space-clustering analysis performed by means of the Morisita Index suggests that the declustering technique effectively reduces the spatial clustering of the seismicity of Switzerland, but does not change the spatial properties of the residual seismic catalogue of the southern California.

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Sensitivity analysis of the parameters of earthquake recurrence time power law scaling

Cited by 14 publications

References 29 publications

Temperature-dependent criticality in random 2D Ising models

Temperature-dependent criticality in random 2D Ising models

Scaling Analysis of Time Distribution between Successive Earthquakes in Aftershock Sequences

Comparing seismicity declustering techniques by means of the joint use of Allan Factor and Morisita index

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