1. Spatial differences of burstiness in the temporal occurrence
of 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.
Motivation
Step1: Lv map
Step2: Removing overal trend
Step3: Relating to boundary type
Frequency map
Extension to N oscillators
p-values:
ridge-trench 4.5e-008
ridge-transform 6.2e-004
trench-transform 0.46
Database: NEIC-PDE from , to
longitude width: 6 degrees, area size: 250,000 km2
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 effect
Degree of burstiness differs in areas adjacent to different types of tectonic boundaries.
References:
P Bak, et al. Phys. Rev. Lett 88, (2002); Alvaro Corral, Phys. Rev. Lett. 92, (2004); Shinomoto S, Shima K and Tanji J， Neural Comput 15, 2823 (2003) ; Shinomoto S et al. PLoS Comput. Biol. 5, e (2003) ; X.X.Zhao, T.Omi, N.Matsuno, and S.Shinomoto, New J. Phys, 12, (2010)