Minima of the fluctuations of the order parameter of global seismicity.

It has been recently shown [N. V. Sarlis, Phys. Rev. E 84, 022101 (2011) and N. V. Sarlis and S.-R. G. Christopoulos, Chaos 22, 023123 (2012)] that earthquakes of magnitude M greater or equal to 7 are globally correlated. Such correlations were identified by studying the variance κ1 of natural time which has been proposed as an order parameter for seismicity. Here, we study the fluctuations of this order parameter using the Global Centroid Moment Tensor catalog for a magnitude threshold Mthres = 5.0 and focus on its behavior before major earthquakes. Natural time analysis reveals that distinct minima of the fluctuations of the order parameter of seismicity appear within almost five and a half months on average before all major earthquakes of magnitude larger than 8.4. This phenomenon corroborates the recent finding [N. V. Sarlis et al., Proc. Natl. Acad. Sci. U.S.A. 110, 13734 (2013)] that similar minima of the seismicity order parameter fluctuations had preceded all major shallow earthquakes in Japan. Moreover, on the basis of these minima a statistically significant binary prediction method for earthquakes of magnitude larger than 8.4 with hit rate 100% and false alarm rate 6.67% is suggested.

[1]  Shlomo Havlin,et al.  Long-term memory in earthquakes and the distribution of interoccurrence times , 2008 .

[2]  N. Sarlis,et al.  Magnitude correlations in global seismicity. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  P. Varotsos,et al.  Electric fields that "arrive" before the time derivative of the magnetic field prior to major earthquakes. , 2003, Physical review letters.

[4]  O. G. Villard,et al.  ULF magnetic field measurements near the epicenter of the Ms 7.1 Loma Prieta earthquake , 1991 .

[5]  N. Sarlis,et al.  Natural time analysis of the Centennial Earthquake Catalog. , 2012, Chaos.

[6]  D. Sornette,et al.  Fault growth model and the universal fault length distribution , 1991 .

[7]  Tom Fawcett,et al.  An introduction to ROC analysis , 2006, Pattern Recognit. Lett..

[8]  P. Varotsos,et al.  Multiplicative cascades and seismicity in natural time. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  D. Sornette,et al.  Power law distributions of seismic rates , 2004, physics/0412050.

[10]  P. Varotsos,et al.  Attempt to distinguish long-range temporal correlations from the statistics of the increments by natural time analysis. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  H. B. Mann,et al.  On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other , 1947 .

[12]  Luciano Telesca,et al.  Analysis of the distribution of the order parameter of synthetic seismicity generated by a simple spring–block system with asperities , 2014 .

[13]  P. Varotsos,et al.  Detrended fluctuation analysis of the magnetic and electric field variations that precede rupture. , 2009, Chaos.

[14]  Efthimios S. Skordas,et al.  Order parameter fluctuations of seismicity in natural time before and after mainshocks , 2010 .

[15]  N. V. Sarlis,et al.  Order parameter fluctuations in natural time and b -value variation before large earthquakes , 2012, 1205.1738.

[16]  Hiroo Kanamori,et al.  Quantification of Earthquakes , 1978, Nature.

[17]  Qinghua Huang,et al.  Forecasting the epicenter of a future major earthquake , 2015, Proceedings of the National Academy of Sciences.

[18]  Masashi Kamogawa,et al.  Minimum of the order parameter fluctuations of seismicity before major earthquakes in Japan , 2013, Proceedings of the National Academy of Sciences.

[19]  Kim Christensen,et al.  Unified scaling law for earthquakes. , 2001, Physical review letters.

[20]  Panayiotis A. Varotsos,et al.  Physical properties of the variations of the electric field of the earth preceding earthquakes, I , 1984 .

[21]  D Sornette,et al.  "Universal" distribution of interearthquake times explained. , 2006, Physical review letters.

[22]  D. Sornette Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .

[23]  P. Varotsos,et al.  Long-range correlations in the electric signals that precede rupture. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  P. Varotsos,et al.  Study of the temporal correlations in the magnitude time series before major earthquakes in Japan , 2014 .

[25]  N. V. Sarlis,et al.  Similarity of fluctuations in systems exhibiting Self-Organized Criticality , 2011 .

[26]  Shlomo Havlin,et al.  Earthquake networks based on similar activity patterns. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  M. S. Lazaridou,et al.  Fluctuations, under time reversal, of the natural time and the entropy distinguish similar looking electric signals of different dynamics , 2007, 0707.3074.

[28]  Masashi Kamogawa,et al.  Spatiotemporal variations of seismicity before major earthquakes in the Japanese area and their relation with the epicentral locations , 2014, Proceedings of the National Academy of Sciences.

[29]  John B. Rundle,et al.  A generalized Omori's law for earthquake aftershock decay , 2004 .

[30]  Luciano Telesca,et al.  Non‐uniform scaling features in central Italy seismicity: A non‐linear approach in investigating seismic patterns and detection of possible earthquake precursors , 2009 .

[31]  S. Uyeda,et al.  Geoelectric potential changes: possible precursors to earthquakes in Japan. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[32]  M. Ladd,et al.  Low‐frequency magnetic field measurements near the epicenter of the Ms 7.1 Loma Prieta Earthquake , 1990 .

[33]  Panayiotis A. Varotsos,et al.  Magnetic field near the outcrop of an almost horizontal conductive sheet , 2002 .

[34]  Stavros Christopoulos,et al.  Statistical Significance of Minimum of the Order Parameter Fluctuations of Seismicity Before Major Earthquakes in Japan , 2014, Pure and Applied Geophysics.

[35]  T. Utsu A statistical study on the occurrence of aftershocks. , 1961 .

[36]  P. Varotsos,et al.  Nonextensivity and natural time: The case of seismicity. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  M. Kamogawa,et al.  Preseismic Changes of the Level and Temperature of Confined Groundwater related to the 2011 Tohoku Earthquake , 2014, Scientific Reports.

[38]  Armin Bunde,et al.  Modelling seismic catalogues by cascade models: Do we need long-term magnitude correlations? , 2011 .

[39]  Masashi Kamogawa,et al.  Analysis of electrical activity and seismicity in the natural time domain for the volcanic-seismic swarm activity in 2000 in the Izu Island region, Japan , 2009 .

[40]  P. Varotsos,et al.  Remarkable changes in the distribution of the order parameter of seismicity before mainshocks , 2012 .

[41]  N. V. Sarlis,et al.  On the anomalous changes of seismicity and geomagnetic field prior to the 2011 $M_w$ 9.0 Tohoku earthquake , 2017, 1704.07136.

[42]  M. S. Lazaridou,et al.  Investigation of seismicity after the initiation of a Seismic Electric Signal activity until the main shock , 2008, Proceedings of the Japan Academy. Series B, Physical and biological sciences.

[43]  M. S. Lazaridou,et al.  Latest aspects of earthquake prediction in Greece based on seismic electric signals, II☆ , 1993 .

[44]  Masashi Kamogawa,et al.  Preseismic anomalous telluric current signals observed in Kozu-shima Island, Japan , 2012, Proceedings of the National Academy of Sciences.

[45]  John H. Woodhouse,et al.  Determination of earthquake source parameters from waveform data for studies of global and regional seismicity , 1981 .

[46]  Nicholas V. Sarlis,et al.  Scale-specific order parameter fluctuations of seismicity in natural time before mainshocks , 2011 .

[47]  P. Varotsos,et al.  Similarity of fluctuations in correlated systems: the case of seismicity. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[48]  Panayiotis A. Varotsos,et al.  Physical properties of the variations of the electric field of the earth preceding earthquakes. II. determination of epicenter and magnitude , 1984 .

[49]  Nicholas V. Sarlis,et al.  Visualization of the significance of Receiver Operating Characteristics based on confidence ellipses , 2014, Comput. Phys. Commun..

[50]  L de Arcangelis,et al.  Multiple-time scaling and universal behavior of the earthquake interevent time distribution. , 2010, Physical review letters.

[51]  Masashi Kamogawa,et al.  Natural-time analysis of critical phenomena: The case of seismicity , 2010 .

[52]  Alejandro Ramírez-Rojas,et al.  Order parameter analysis of seismicity of the Mexican Pacific coast , 2013 .

[53]  N. Graham,et al.  Areas beneath the relative operating characteristics (ROC) and relative operating levels (ROL) curves: Statistical significance and interpretation , 2002 .

[54]  Shlomo Havlin,et al.  Statistics of return intervals in long-term correlated records. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[55]  Masashi Kamogawa,et al.  Natural time analysis of critical phenomena , 2011, Proceedings of the National Academy of Sciences.

[56]  D. Sornette,et al.  Some consequences of a proposed fractal nature of continental faulting , 1990, Nature.

[57]  Sumiyoshi Abe,et al.  Origin of the usefulness of the natural-time representation of complex time series. , 2005, Physical review letters.

[58]  Qinghua Huang,et al.  Retrospective investigation of geophysical data possibly associated with the Ms8.0 Wenchuan earthquake in Sichuan, China , 2011 .

[59]  T. A. Stabile,et al.  Investigating the Tsunamigenic Potential of Earthquakes from Analysis of the Informational and Multifractal Properties of Seismograms , 2015, Pure and Applied Geophysics.

[60]  Andrea Donnellan,et al.  Space-time clustering and correlations of major earthquakes. , 2006, Physical review letters.

[61]  Maya Paczuski,et al.  Analysis of the spatial distribution between successive earthquakes. , 2005 .

[62]  Panayiotis A. Varotsos,et al.  Natural Time Analysis: The New View of Time : Precursory Seismic Electric Signals, Earthquakes and other Complex Time Series , 2011 .

[63]  P. Varotsos,et al.  Scale-specific order parameter fluctuations of seismicity before mainshocks: Natural time and Detrended Fluctuation Analysis , 2012 .

[64]  Alejandro Ramírez-Rojas,et al.  Entropy of geoelectrical time series in the natural time domain , 2011 .

[65]  Alvaro Corral Long-term clustering, scaling, and universality in the temporal occurrence of earthquakes. , 2004, Physical review letters.

[66]  H. Tanaka,et al.  Electric and magnetic phenomena observed before the volcano-seismic activity in 2000 in the Izu Island Region, Japan , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[67]  Qinghua Huang,et al.  Anomalous behaviors of geomagnetic diurnal variations prior to the 2011 off the Pacific coast of Tohoku earthquake (Mw9.0) , 2013 .

[68]  Göran Ekström,et al.  The global CMT project 2004–2010: Centroid-moment tensors for 13,017 earthquakes , 2012 .

[69]  John B. Rundle,et al.  Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems , 2003 .

[70]  Efthimios S. Skordas,et al.  Seismic Electric Signals: An additional fact showing their physical interconnection with seismicity☆ , 2013 .

[71]  Fausto Guzzetti,et al.  Self-organization, the cascade model, and natural hazards , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[72]  L. Telesca Analysis of Italian seismicity by using a nonextensive approach , 2010 .