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| Titel |
Brief Communication: Earthquake sequencing: analysis of time series constructed from the Markov chain model |
| VerfasserIn |
M. S. Cavers, K. Vasudevan |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 22, no. 5 ; Nr. 22, no. 5 (2015-10-09), S.589-599 |
| Datensatznummer |
250121002
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| Publikation (Nr.) |
 copernicus.org/npg-22-589-2015.pdf |
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| Zusammenfassung |
| Directed graph representation of a Markov chain model to study global
earthquake sequencing leads to a time series of state-to-state transition
probabilities that includes the spatio-temporally linked recurrent events in
the record-breaking sense. A state refers to a configuration comprised of
zones with either the occurrence or non-occurrence of an earthquake in each
zone in a pre-determined time interval. Since the time series is derived from
non-linear and non-stationary earthquake sequencing, we use known analysis
methods to glean new information. We apply decomposition procedures such as
ensemble empirical mode decomposition (EEMD) to study the state-to-state
fluctuations in each of the intrinsic mode functions. We subject the
intrinsic mode functions, derived from the time series using the EEMD, to a
detailed analysis to draw information content of the time series. Also, we
investigate the influence of random noise on the data-driven state-to-state
transition probabilities. We consider a second aspect of earthquake
sequencing that is closely tied to its time-correlative behaviour. Here, we
extend the Fano factor and Allan factor analysis to the time series of
state-to-state transition
frequencies of a Markov chain. Our results support not only the usefulness of
the intrinsic mode functions in understanding the time series but also the
presence of power-law behaviour exemplified by the Fano factor and the Allan
factor. |
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