Earthquake magnitude time series: Scaling behavior of visibility networks

B. Aguilar-San Juan, L. Guzmán-Vargas

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We present a statistical analysis of earthquake magnitude sequences in terms of the visibility graph method. Magnitude time series from Italy, Southern California, and Mexico are transformed into networks and some organizational graph properties are discussed. Connectivities are characterized by a scale-free distribution with a noticeable effect for large scales due to either the presence or the lack of large events. Also, a scaling behavior is observed between different node measures like betweenness centrality, clustering coefficient, nearest neighbor connectivity, and earthquake magnitude. Moreover, parameters which quantify the difference between forward and backward links, are proposed to evaluate the asymmetry of visibility attachment mechanism. Our results show an alternating average behavior of these parameters as earthquake magnitude changes. Finally, we evaluate the effects of reducing temporal and spatial windows of observation upon visibility network properties for main-shocks. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Original languageAmerican English
JournalEuropean Physical Journal B
DOIs
StatePublished - 2 Dec 2013

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visibility
Visibility
Time series
Earthquakes
earthquakes
scaling
Southern California
Statistical methods
Mexico
Italy
statistical analysis
attachment
shock
asymmetry
coefficients

Cite this

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title = "Earthquake magnitude time series: Scaling behavior of visibility networks",
abstract = "We present a statistical analysis of earthquake magnitude sequences in terms of the visibility graph method. Magnitude time series from Italy, Southern California, and Mexico are transformed into networks and some organizational graph properties are discussed. Connectivities are characterized by a scale-free distribution with a noticeable effect for large scales due to either the presence or the lack of large events. Also, a scaling behavior is observed between different node measures like betweenness centrality, clustering coefficient, nearest neighbor connectivity, and earthquake magnitude. Moreover, parameters which quantify the difference between forward and backward links, are proposed to evaluate the asymmetry of visibility attachment mechanism. Our results show an alternating average behavior of these parameters as earthquake magnitude changes. Finally, we evaluate the effects of reducing temporal and spatial windows of observation upon visibility network properties for main-shocks. {\circledC} 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.",
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Earthquake magnitude time series: Scaling behavior of visibility networks. / Aguilar-San Juan, B.; Guzmán-Vargas, L.

In: European Physical Journal B, 02.12.2013.

Research output: Contribution to journalArticle

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