Some statistical properties of a sequence of historical Calabro‐Peloritan Earthquakes

Bottari, A.; Neri, G.

doi:10.1029/jb088ib02p01209

Cited by 11 publications

(5 citation statements)

References 9 publications

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“…One way is to find which values of q produce synthetic catalogues with statistical properties similar to those of an actual catalogue we wish to simulate. Various statistical tests have been used to characterize deviations from random behaviour, including the Poisson index of dispersion (Vere-Jones & Davies 1966; Shlien & Toksoz 1970;McNally 1977), the Kolmogorov-Smirnov test (Shlien & Toksoz 1970;Reasenberg & Matthews 1988), the Anderson-Darling test (Anderson & Darling 1952;Frohlich 1987;Reasenberg & Matthews 1988), the E parameter of Shlien & Toksoz (Shlien & Toksoz 1970;Bottari & Neri 1983;De Natale et 01. 1985), second-and higher order moments (Kagan & Knopoff 1976Reasenberg 1985), power spectra (Utsu 1972), variance-time curves (VereJones 1970;Rice 1975), event pair-analysis (Eneva & Pavlis 1988;Eneva & Hamburger 1989), and hazard and intensity functions (Vere-Jones 1970;Rice 1975).…”

Section: Statistics For Evaluating Synthetic and Actual Cataloguesmentioning

confidence: 99%

“…Assuming Our synthetic provides a (Anderson & Darling 1952;Frohlich 1987;Reasenberg & Matthews 1988), the E parameter of Shlien & Toksoz (Shlien & Toksoz 1970;Bottari & Neri 1983;De Natale et 01. 1985), second-and higher order moments (Kagan & Knopoff 1976Reasenberg 1985), power spectra (Utsu 1972 For this study we chose six statistics as described below.…”

Section: Statistics For Evaluating Synthetic and Actual Cataloguesmentioning

confidence: 99%

“…In particular, a major deviation from a Poisson process is the existence of earthquake aftershocks. Algorithms for the identification of clustered earthquakes such as aftershocks include various space-time windows (Knopoff & Gardner 1972;Gardner & Knopoff 1974;Kagan & Knopoff 1976;Knopoff et al 1982;Tinti & Mulgaria 1985), likelihood functions (Prozorov & Dziewonski 1982;Bottari & Neri 1983), ratios tests (Frohlich & Davis 1985), Shlien & Toksoz's (1974) s-statistic, other cluster-link schemes (Reasenberg 1985), and single-link cluster analysis (this paper; Davis ).…”

Section: Introductionmentioning

confidence: 99%

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Single-Link Cluster Analysis, Synthetic Earthquake Catalogues, and Aftershock Identification

Davis¹,

Frohlich²

1991

Geophysical Journal International

107

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This paper investigates several aspects of synthetic catalogue generation and aftershock identification schemes. First, we introduce a method for generating synthetic catalogues of earthquakes. This method produces a catalogue which has the geographic appearance of an actual catalogue when the hypocentres are plotted in map view, but allows us to vary the spatial and temporal relationships between pairs of close events. Second, we discuss six statistics to measure certain characteristics of synthetic and actual catalogues. These include four new statistics S, , , B,,, S, and B , which evaluate the distributions of link lengths between events in space and space-time as computed by single-link cluster analysis (SLC). Third, we develop a new scheme for identifying aftershocks in which a group of events forms an aftershock sequence if each event is within a space-time distance D of at least one other event in the group. We define the space-time separation of events by dsT = d(d2 + C 2 t 2 ) , where d is the spatial separation of events, t is the time separation, and C = 1 km day-'. Our experience with several synthetic catalogues suggests that an appropriate trial value for D is 9.4 kmln (G) -25.2 km. Here, S, is the median link length using SLC with the metric dST. Fourth, we generate synthetic catalogues resembling both teleseismic and local network catalogues to evaluate the validity and reliability of this aftershock identification scheme, as well as other schemes proposed by Gardner & Knopoff (1974), Shlien & Toksoz (1974), Knopoff, Kagan & Knopoff (1982), and Reasenberg (1985. Using a simple scoring method, we find that the SLC method compares favourably with other aftershock identification algorithms described in the literature.

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Section: Statistics For Evaluating Synthetic and Actual Cataloguesmentioning

confidence: 99%

Section: Statistics For Evaluating Synthetic and Actual Cataloguesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Single-Link Cluster Analysis, Synthetic Earthquake Catalogues, and Aftershock Identification

Davis¹,

Frohlich²

1991

Geophysical Journal International

107

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“…In the following we shall give some information about the seismic catalogues and one or two references in which it is possible to find a more detailed description of the kind of seismicity encountered. (Bottari & Neri 1983;Bottari et al 1992). This area was affected by one of the worst seismic catastrophes in Italy during the last two centuries: the well-known 1908 Messina Strait earthquakes.…”

Section: Kaoiki Island (Hawaii)mentioning

confidence: 99%

Multifractal analysis of earthquake catalogues

Godano

Caruso

1995

Geophysical Journal International

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S U M M A R YWe show that standard statistical analyses of earthquake Catalogues are not very useful tools for describing temporal variations of the seismic event clustering. A more appropriate approach is the rnultifractal analysis. In fact, if interarrival times between earthquakes are fractally distributed, this means that the behaviour of the catalogue is scale-invariant and it can be described in terms of a Poissonian or a stationary clustered distribution. On the contrary, if we observe a multifractal distribution, the clustering in time cannot be considered constant. We analyse the earthquake catalogues of some Italian regions and of Kaoiki Island (Hawaii), showing that in general we have multifractal distributions, and therefore a varying degree of clustering. This result suggests that the fractal dimension as well as the correlation dimension are the best parameters to be monitored for enhancing earthquake prediction.

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“…Significant fluctuations in seismic activity have been reported in, e.g., Kamchatka and the Kuril Islands (FEDOTOV, 1968), California, and, notably, Parkfield (BAKUN and MCEVILLY, 1984), China (MCGUIRE and BARNHARD, 1981), the New Madrid Zone, U.S.A. (MENTO et al, 1986), Greece (PAPADOPOULOS and VOIDOMATIS, 1987) and the North Sea (LINDHOLM et al, 1990). For other areas, the seismic activity shows temporal variations but it is not clear whether these changes are periodic, e.g., southern Italy (BOTTARI and NERI, 1983), New Zealand (VERE-JONES and DAVIS, 1966), the Alpine-Himalayan belt (RAO and KALIA, 1986), Japan (SHIBUTANI and OIKE, 1989) and all subduction zones of the Circum-Pacific Belt (LAY et al, 1989). Global seismicity also shows temporal variation but with no clear periodicity (e.g., KANAMORI, 1981;SHIMSHONI, 1984).…”

Section: Assumptionsmentioning

confidence: 99%

Parametric-historic Procedure for Probabilistic Seismic Hazard Analysis Part I: Estimation of Maximum Regional Magnitude m max

Kijko¹,

Graham²

1998

Pure and Applied Geophysics

164

101

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A new methodology for probabilistic seismic hazard analysis (PSHA) is described. The approach combines the best features of the ''deductive'' (CORNELL, 1968) and ''historical'' (VENEZIANO et al., 1984) procedures. It can be called a ''parametric-historic'' procedure. The maximum regional magnitude m max is of paramount importance in this approach and Part I of our work presents some of the statistical techniques which can be used for its evaluation. The work is an analysis of parametric procedures for the evaluation of m max , when the form of the magnitude distribution is specified. For each of the formulae given there are notes on its origin, assumptions made of its derivation, and some comparisons. The statistical concepts of bias and variance are considered for each formula, and appropriate expressions for these are also given. Also, following KNOPOFF and KAGAN (1977), we shall demonstrate why there must be a finite upper bound to the largest seismic event if the Gutenberg-Richter frequency-magnitude relation is accepted.

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Some statistical properties of a sequence of historical Calabro‐Peloritan Earthquakes

Cited by 11 publications

References 9 publications

Single-Link Cluster Analysis, Synthetic Earthquake Catalogues, and Aftershock Identification

Single-Link Cluster Analysis, Synthetic Earthquake Catalogues, and Aftershock Identification

Multifractal analysis of earthquake catalogues

Parametric-historic Procedure for Probabilistic Seismic Hazard Analysis Part I: Estimation of Maximum Regional Magnitude m max

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