the temporal occurrence of earthquakes Xiaoxue Zhao 1 Shigeru Shinomoto 2 and Jiping Huang 1 1 Department of Physics Fudan University Shanghai China 2 Department of Physics Kyoto University Kyoto Japan ID: 736373
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Spatial differences of burstiness in the temporal occurrenceof earthquakes
Xiaoxue Zhao1, Shigeru Shinomoto2 and Jiping Huang1 1 Department of Physics, Fudan University, Shanghai, China 2 Department of Physics, Kyoto University, Kyoto, Japan
A lot of emphasis has been put on the universal properties of earthquake occurrences in different spatial areas on the Earth. Methods usually are based on analyzing inter-event interval distribution and rescaling the distribution by suitable variables. However, fewer take into account the correlation between adjacent intervals. Here we employ metric Lv, which can abstract non-Poissonian burstiness feature out of a non-stationary sequence (burstiness), in order to detect fine structures in generating events.
Surprisingly
we have found at least three trends in the
spatial distribution of Lv values on the Earth, indicating that actually there is systematic variation of burstiness spastically. In this way, non-Poissonian features are amplified and thus bear witness to the circumstances underlying event generation. This work may have further implications to non-stationary sequence analysis.
Conclusions:Fine structures of event occurrence are detected by metric Lv: There is an overall negative correlation between the degree of busty features and the frequency of earthquakes in that spatial area. systematic regional differences remain even if the overal correlation between burstiness and the rate of event ccurrence is eliminated, and appear to have clustering effectDegree of burstiness differs in areas adjacent to different types of tectonic boundaries.References:P Bak, et al. Phys. Rev. Lett 88, 178501 (2002); Alvaro Corral, Phys. Rev. Lett. 92, 108501 (2004); Shinomoto S, Shima K and Tanji J， Neural Comput 15, 2823 (2003) ; Shinomoto S et al. PLoS Comput. Biol. 5, e1000433 (2003) ; X.X.Zhao, T.Omi, N.Matsuno, and S.Shinomoto, New J. Phys, 12, 063010 (2010)
Extension to N oscillators
Motivation
Database: NEIC-PDE from 1973.1.1, to 2009.6.30.
longitude width: 6 degrees, area size: 250,000 km
2
Step1:
Lv
map
Frequency map
Step2: Removing
overal
trend
Step3: Relating to boundary type
p-values:
ridge
-
trench
4.5e-008
ridge
-
transform
6.2e-004
trench
-
transform
0.46