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| Titel |
Insight into earthquake sequencing: analysis and interpretation of time-series constructed from the directed graph of the Markov chain model |
| VerfasserIn |
M. S. Cavers, K. Vasudevan |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
2198-5634
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 2, no. 1 ; Nr. 2, no. 1 (2015-02-24), S.399-424 |
| Datensatznummer |
250115152
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| Publikation (Nr.) |
 copernicus.org/npgd-2-399-2015.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, the orthogonal basis set 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 behavior. 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 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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