Analysis of temporal variation of earthquake occurrences in Caucasus from 1960 to 2011

Matcharashvili, Teimuraz; Telesca, Luciano; Chélidzé, T.; Javakhishvili, Z.; Zhukova, Natalia

doi:10.1016/j.tecto.2013.07.033

Cited by 10 publications

(3 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The simple statistical approach used here thus shows that the extent of randomness in the earthquake time distributions is changing over time and that it is most random-like at periods of decreased seismic activity. The results of this analysis provide additional indirect arguments in favor of our earlier suggestion that the extent of regularity in the earthquake time distributions should decrease in seismically quiet periods and increase in periods of strong earthquakes preparation (Matcharashvili et al, , 2013. Figure 12.…”

Section: Analysis Of Earthquake Time Distributions In the Southern Camentioning

confidence: 49%

Simple statistics for complex Earthquake time distributions

Matcharashvili

Hatano

Chélidzé

et al. 2018

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

Abstract. Here we investigated a statistical feature of earthquake time distributions in the southern California earthquake catalog. As a main data analysis tool, we used a simple statistical approach based on the calculation of integral deviation times (IDT) from the time distribution of regular markers. The research objective is to define whether and when the process of earthquake time distribution approaches to randomness. Effectiveness of the IDT calculation method was tested on the set of simulated color noise data sets with the different extent of regularity, as well as for Poisson process data sets. Standard methods of complex data analysis have also been used, such as power spectrum regression, Lempel and Ziv complexity, and recurrence quantification analysis, as well as multiscale entropy calculations. After testing the IDT calculation method for simulated model data sets, we have analyzed the variation in the extent of regularity in the southern California earthquake catalog. Analysis was carried out for different periods and at different magnitude thresholds. It was found that the extent of the order in earthquake time distributions is fluctuating over the catalog. Particularly, we show that in most cases, the process of earthquake time distributions is less random in periods of strong earthquake occurrence compared to periods with relatively decreased local seismic activity. Also, we noticed that the strongest earthquakes occur in periods when IDT values increase.

show abstract

Section: Analysis Of Earthquake Time Distributions In the Southern Camentioning

confidence: 49%

Simple statistics for complex Earthquake time distributions

Matcharashvili

Hatano

Chélidzé

et al. 2018

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

show abstract

“…The results of this analysis provide additional indirect arguments in favor of our earlier suggestion that the extent of regularity in the earthquakes time distribution should decrease in seismically quiet periods and increase in the periods of strong earthquakes preparation (Matcharashvili et al, , 2013.…”

supporting

confidence: 50%

Simple statistics for complex Earthquakes’ time distribution

Matcharashvili¹,

Hatano²,

Chélidzé³

et al. 2018

Preprint

View full text Add to dashboard Cite

Abstract. Here we investigated a statistical feature of earthquakes time distribution in southern Californian earthquake catalogue. As a main data analysis tool, we used simple statistical approach based on the calculation of integral deviation times (IDT) from the time distribution of regular markers. The research objective is to define whether the process of earthquakes time distribution approaches to randomness. Effectiveness of the IDT calculation method was tested on the set of simulated color noise data sets with the different extent of regularity. Standard methods of complex data analysis have also been used, 5 such as power spectrum regression, Lempel and Ziv complexity and recurrence quantification analysis as well as multi-scale entropy calculation. After testing the IDT calculation method for simulated model data sets, we have analyzed the variation of the extent of regularity in southern Californian earthquake catalogue. Analysis was carried out for different time periods and at different magnitude thresholds. It was found that the extent of the order in earthquakes time distribution is fluctuating over the catalogue. Particularly, we show that the process of earthquakes' time distribution becomes most random-like in periods of 10 decreased local seismic activity.

show abstract

“…We have found several studies published in the literature where signals containing spikes or jumps are not carefully handled 38,[109][110][111][112] .…”

Section: Real Life Examplementioning

confidence: 99%

New insights and best practices for the successful use of Empirical Mode Decomposition, Iterative Filtering and derived algorithms

Stallone

Cicone

Materassi

2020

Sci Rep

122

View full text Add to dashboard Cite

Algorithms based on Empirical Mode Decomposition (EMD) and Iterative Filtering (IF) are largely implemented for representing a signal as superposition of simpler well-behaved components called Intrinsic Mode Functions (IMFs). Although they are more suitable than traditional methods for the analysis of nonlinear and nonstationary signals, they could be easily misused if their known limitations, together with the assumptions they rely on, are not carefully considered. In this work, we examine the main pitfalls and provide caveats for the proper use of the EMD- and IF-based algorithms. Specifically, we address the problems related to boundary errors, to the presence of spikes or jumps in the signal and to the decomposition of highly-stochastic signals. The consequences of an improper usage of these techniques are discussed and clarified also by analysing real data and performing numerical simulations. Finally, we provide the reader with the best practices to maximize the quality and meaningfulness of the decomposition produced by these techniques. In particular, a technique for the extension of signal to reduce the boundary effects is proposed; a careful handling of spikes and jumps in the signal is suggested; the concept of multi-scale statistical analysis is presented to treat highly stochastic signals.

show abstract

Analysis of temporal variation of earthquake occurrences in Caucasus from 1960 to 2011

Cited by 10 publications

References 57 publications

Simple statistics for complex Earthquake time distributions

Simple statistics for complex Earthquake time distributions

Simple statistics for complex Earthquakes’ time distribution

New insights and best practices for the successful use of Empirical Mode Decomposition, Iterative Filtering and derived algorithms

Contact Info

Product

Resources

About