Correlations in aftershock and seismicity patterns

Shcherbakov, R.; Aalsburg, J. van; Rundle, John B.; Turcotte, Donald L.

doi:10.1016/j.tecto.2005.10.009

Cited by 16 publications

(12 citation statements)

References 38 publications

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“…The fit to the Gutenberg-Richter law is assessed for this period and the spatial domains corresponding to Landers, Northridge and Hector Mine aftershock sequences (Woessner and Wiemer, 2005), and almost equal minimum magnitudes of completeness are obtained (m = 1.5 -2.0), as shown in Figure 1c. Table 1 summarizes the main characteristics of the three seismic crises, according to Shcherbakov et al (2006), and aftershock spatial domains as determined by Kagan (2002). It is worth mentioning that Shcherbakov et al (2006) deduce that the catalogue completeness of the three aftershock series is achieved by a minimum local magnitude of 2.0, very close to that obtained when the whole 1981-2007 recording period is considered.…”

Section: Databasesupporting

confidence: 52%

“…Attention has been devoted to these topics for the last decades (Habermann and Wyss, 1984;Eneva and Paulis, 1991;Cao et al, 1996;Michael and Jones, 1998;Myers and Walters, 1999;Toda et al, 2005;Hauksson, 2010;Brune et al, 2010;Van Stiphout et al (2011); among others). Another point of view consists in identifying changes on seismicity just before a large earthquake, as proposed by Shcherbakov et al (2006), by using the twopoint correlation function and the correlation length concept. A contribution to the identification of aftershock sequences, based on the analysis of background seismicity, should be also mentioned (Bottiglieri et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

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Fractal analysis and statistics of seismic generation rates: the example of the southern California

et al. 2017

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The seismic generation rate, SGR, at southern California along the 1981–2007 recording period is analysed with the main purpose of finding out whether there exist some correlations between seismic activity before, after and along aftershock sequences triggered by mainshocks of high magnitude. The possibility that a mainshock could be triggered by another neighbouring mainshock and its aftershock sequence is also investigated. The analyses are based on monthly SGR series, obtained as the number of events detected every month along the recording period considered. These monthly SGR series are derived for three aftershock areas associated with Landers (June 28, 1992, Mw = 7.3), Northridge (January 17, 1994, Mw = 6.7) and Hector Mine (October 16, 1999, Mw = 7.1) mainshocks. The most relevant features of SGR series are investigated through various techniques: 1) the rescaled range analysis and the interpretation of the Hurst exponent in terms of persistence, anti-persistence and randomness; 2) time trend estimation by the Kendall-tau algorithm and assessment of their statistical significance by the Mann-Kendall test; 3) the self-affine character, derived from semivariograms, and the Hausdorff measure; 4) autocorrelation and power spectra; 5) cross-correlation and cross-power spectra; 6) the search for the statistical distribution best reproducing the empirical probability of SGR series. Additionally, a close look at plots of epicenters within the aftershock areas, distinguishing between periods of background and aftershock activity, permits detecting some features of the seismicity. Changes on spatial patterns of seismicity suggest that the effects of tectonic stress redistribution could persist beyond an aftershock period, at short and medium distances of the mainshock. This possibility would be also in agreement with cross-correlation results for SGR series.Postprint (author's final draft

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Section: Databasesupporting

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Fractal analysis and statistics of seismic generation rates: the example of the southern California

et al. 2017

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“…Large ACLs are also suggested by the remotely triggered aftershocks following the Landers, California, earthquake (Hill et al, 1993). Shcherbakov et al (2006b) had analyzed the behavior of the two-point correlation length associated with foreshocks and aftershocks of several mainshocks. They studied 11 earthquakes in California with m !6.5 since 1952 and found systematic increases in the correlation lengths prior to most of these earthquakes.…”

Section: Accelerated Moment Releasementioning

confidence: 99%

Complexity and Earthquakes

Turcotte

Shcherbakov

Rundle

2015

Treatise on Geophysics

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“…permitting the computation of the correlation integral, C(δ), also known as two-point correlation function (Shcherbakov et al 2006). δ is defined as the Euclidean distance between two vectors on the m-dimensional space.…”

Section: Reconstruction Theoremmentioning

confidence: 99%

Fractal structure and predictive strategy of the daily extreme temperature residuals at Fabra Observatory (NE Spain, years 1917–2005)

Lana

Burgueño

Serra

et al. 2014

Theor Appl Climatol

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A compilation of daily extreme temperatures recorded at the Fabra Observatory (Catalonia, NE Spain) since 1917 up to 2005 has permitted an exhaustive analysis of the fractal behaviour of the daily extreme temperature residuals, DTR, defined as the difference between the observed daily extreme temperature and the daily average value. The lacunarity characterises the lag distribution on the residual series for several thresholds. Hurst, H, and Hausdorff, Ha, exponents, together with the exponent β of the decaying power law, describing the evolution of power spectral density with frequency, permit to characterise the persistence, antipersistence or randomness of the residual series. The self-affine character of DTR series is verified, and additionally, they are simulated by means of fractional Gaussian noise, fGn. The reconstruction theorem leads to the quantification of the complexity (correlation dimension, μ*, and Kolmogorov entropy, κ) and predictive instability (Lyapunov exponents, λ, and Kaplan-Yorke dimension, D KY ) of the residual series. All fractal parameters are computed for consecutive and independent segments of 5-year lengths. This strategy permits to obtain a high enough number of fractal parameter samples to estimate time trends, including their statistical significance. Comparisons are made between results of predictive algorithms based on fGn models and an autoregressive autoregressive integrated moving average (ARIMA) process, with the latter leading to slightly better results than the former. Several dynamic atmospheric mechanisms and local effects, such as local topography and vicinity to the Mediterranean coast, are proposed to explain the complex and instable predictability of DTR series. The memory of the physical system (Kolmogorov entropy) would be attributed to the interaction with the Mediterranean Sea.

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Correlations in aftershock and seismicity patterns

Cited by 16 publications

References 38 publications

Fractal analysis and statistics of seismic generation rates: the example of the southern California

Fractal analysis and statistics of seismic generation rates: the example of the southern California

Complexity and Earthquakes

Fractal structure and predictive strategy of the daily extreme temperature residuals at Fabra Observatory (NE Spain, years 1917–2005)

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