On the Statistical Significance of the Variability Minima of the Order Parameter of Seismicity by Means of Event Coincidence Analysis

Natural time analysis has led to the introduction of an order parameter for seismicity when considering earthquakes as critical phenomena. The study of the fluctuations of this order parameter has shown that its variability exhibits minima before strong earthquakes. In this paper, we evaluate the statistical significance of such minima by using the recent method of event coincidence analysis. Our study includes the variability minima identified before major earthquakes in Japan and Eastern Mediterranean as well as in global seismicity.

[1]  John B. Rundle,et al.  Nowcasting Earthquakes: A Comparison of Induced Earthquakes in Oklahoma and at the Geysers, California , 2017, Pure and Applied Geophysics.

[2]  Min Lin,et al.  Multiscale multifractal detrended fluctuation analysis of earthquake magnitude series of Southern California , 2017 .

[3]  Nicholas V. Sarlis,et al.  Tsallis Entropy Index q and the Complexity Measure of Seismicity in Natural Time under Time Reversal before the M9 Tohoku Earthquake in 2011 , 2018, Entropy.

[4]  J. Crutchfield,et al.  Global Seismic Nowcasting With Shannon Information Entropy , 2019, Earth and space science.

[5]  Jonathan F. Donges,et al.  On the role of flood events as triggers of epidemic outbreaks , 2016 .

[6]  Qinghua Huang,et al.  Spatiotemporal characteristics of the geomagnetic diurnal variation anomalies prior to the 2011 Tohoku earthquake (Mw 9.0) and the possible coupling of multiple pre-earthquake phenomena , 2016 .

[7]  H. Kanamori,et al.  A moment magnitude scale , 1979 .

[8]  H. Schellnhuber,et al.  Armed-conflict risks enhanced by climate-related disasters in ethnically fractionalized countries , 2016, Proceedings of the National Academy of Sciences.

[9]  Jonathan M. Lees,et al.  The Hilbert–Huang Transform: A High Resolution Spectral Method for Nonlinear and Nonstationary Time Series , 2013 .

[10]  John B. Rundle,et al.  Scaling and Nucleation in Models of Earthquake Faults , 1997 .

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

[12]  A. Lombardi,et al.  Probabilistic interpretationof «Bath's Law» , 2009 .

[13]  C. D. Ferguson,et al.  Spinodals, scaling, and ergodicity in a threshold model with long-range stress transfer. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Nicholas V. Sarlis,et al.  Statistical Significance of Earth’s Electric and Magnetic Field Variations Preceding Earthquakes in Greece and Japan Revisited , 2018, Entropy.

[15]  Yu Lei,et al.  Hilbert-Huang Based Approach for Structural Damage Detection , 2004 .

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

[17]  Harvey Gould,et al.  Near-mean-field behavior in the generalized Burridge-Knopoff earthquake model with variable-range stress transfer. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Christensen,et al.  Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. , 1992, Physical review letters.

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

[20]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[21]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

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

[23]  H. Stanley,et al.  Switching processes in financial markets , 2011, Proceedings of the National Academy of Sciences.

[24]  Constantino Tsallis,et al.  The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks , 2011, Entropy.

[25]  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.

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

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

[28]  Rosario N. Mantegna,et al.  Stock market dynamics and turbulence: parallel analysis of fluctuation phenomena , 1997 .

[29]  Filippos Vallianatos,et al.  Natural time analysis of critical phenomena: The case of acoustic emissions in triaxially deformed Etna basalt , 2013 .

[30]  Shlomo Havlin,et al.  Market Dynamics Immediately Before and After Financial Shocks: Quantifying the Omori, Productivity and Bath Laws , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[32]  S. Pasari.  Nowcasting Earthquakes in the Bay of Bengal Region , 2018, Pure and Applied Geophysics.

[33]  N. Sarlis,et al.  Estimation of multifractality based on natural time analysis , 2018, Physica A: Statistical Mechanics and its Applications.

[34]  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.

[35]  Athanasios A. Pantelous,et al.  Hidden interactions in financial markets , 2018, Proceedings of the National Academy of Sciences.

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

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

[38]  D. Turcotte,et al.  Statistical physics models for aftershocks and induced seismicity , 2018, Philosophical Transactions of the Royal Society A.

[39]  S. S. Shen,et al.  Applications of Hilbert–Huang transform to non‐stationary financial time series analysis , 2003 .

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

[41]  P. Varotsos,et al.  Physical properties of the variations of the electric field of the earth preceding earthquakes, I , 1984 .

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

[43]  Katsumi Hattori,et al.  Further investigations of geomagnetic diurnal variations associated with the 2011 off the Pacific coast of Tohoku earthquake (Mw 9.0) , 2015 .

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

[45]  Forough Hassanibesheli,et al.  Network inference from the timing of events in coupled dynamical systems. , 2019, Chaos.

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

[47]  Pei-yan Chen,et al.  Scaling law and its applications to earthquake statistical relations , 1989 .

[48]  Alejandro Ramírez-Rojas,et al.  Analysis of natural time domain entropy fluctuations of synthetic seismicity generated by a simple stick–slip system with asperities , 2015 .

[49]  Alexis Giguere,et al.  Natural Time, Nowcasting and the Physics of Earthquakes: Estimation of Seismic Risk to Global Megacities , 2017, Pure and Applied Geophysics.

[50]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[51]  Reik V. Donner,et al.  CoinCalc - A new R package for quantifying simultaneities of event series , 2016, Comput. Geosci..

[52]  John B. Rundle,et al.  Geocomplexity and the Physics of Earthquakes , 2000 .

[53]  Bruce E. Shaw,et al.  Dynamics of earthquake faults , 1993, adap-org/9307001.

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

[55]  Filippos Vallianatos,et al.  Non-extensive and natural time analysis of seismicity before the Mw6.4, October 12, 2013 earthquake in the South West segment of the Hellenic Arc , 2014 .

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

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

[58]  David A. Rhoades,et al.  Båth's law and the self‐similarity of earthquakes , 2003 .

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

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

[61]  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 .

[62]  Nicholas V. Sarlis,et al.  Phenomena preceding major earthquakes interconnected through a physical model , 2019, Annales Geophysicae.

[63]  N. Goldenfeld.  Lectures On Phase Transitions And The Renormalization Group , 1972 .

[64]  Zhizhong Wang,et al.  Mean frequency derived via Hilbert-Huang transform with application to fatigue EMG signal analysis , 2006, Comput. Methods Programs Biomed..

[65]  N. Sarlis,et al.  Minima of the fluctuations of the order parameter of seismicity and earthquake networks based on similar activity patterns , 2019, Physica A: Statistical Mechanics and its Applications.

[66]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[67]  Nicholas V. Sarlis,et al.  An Application of the Coherent Noise Model for the Prediction of Aftershock Magnitude Time Series , 2017, Complex..

[68]  Ilya Zaliapin,et al.  Clustering analysis of seismicity and aftershock identification. , 2007, Physical review letters.

[69]  Efthimios S. Skordas,et al.  Identifying sudden cardiac death risk and specifying its occurrence time by analyzing electrocardiograms in natural time , 2007 .

[70]  Panayiotis A. Varotsos,et al.  The physics of seismic electric signals , 2005 .

[72]  Stavros Christopoulos,et al.  Change ΔS of the entropy in natural time under time reversal: Complexity measures upon change of scale , 2015 .

[73]  Markus Båth,et al.  Lateral inhomogeneities of the upper mantle , 1965 .

[74]  Kazuko Yamasaki,et al.  Scaling and memory in volatility return intervals in financial markets. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[75]  H E Stanley,et al.  Statistical properties of DNA sequences. , 1995, Physica A.

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

[77]  Alexander Y. Sun,et al.  Patterns of precipitation and soil moisture extremes in Texas, US: A complex network analysis , 2018 .

[78]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[79]  N. Sarlis,et al.  Minima of the fluctuations of the order parameter of global seismicity. , 2015, Chaos.

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

[81]  Alexander Y. Sun,et al.  Using GRACE Satellite Gravimetry for Assessing Large-Scale Hydrologic Extremes , 2017, Remote. Sens..

[82]  D. Turcotte,et al.  Nowcasting Great Global Earthquake and Tsunami Sources , 2019, Pure and Applied Geophysics.

[83]  C. Varotsos,et al.  On the association between the recent episode of the quasi-biennial oscillation and the strong El Niño event , 2018, Theoretical and Applied Climatology.

[84]  Efthimios S. Skordas,et al.  The change of the entropy in natural time under time-reversal in the Olami-Feder-Christensen earthquake model , 2011 .

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

[86]  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.

[87]  John B. Rundle,et al.  Nowcasting earthquakes , 2016 .

[89]  Haruo Tanaka,et al.  A plausible universal behaviour of earthquakes in the natural time-domain , 2004, Proceedings of the Japan Academy. Series B, Physical and Biological Sciences.

[90]  Stelios M. Potirakis,et al.  Criticality Analysis of the Lower Ionosphere Perturbations Prior to the 2016 Kumamoto (Japan) Earthquakes as Based on VLF Electromagnetic Wave Propagation Data Observed at Multiple Stations , 2018, Entropy.

[91]  Nicholas V. Sarlis,et al.  A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time , 2016 .

[92]  N. Sarlis,et al.  Micro-scale, mid-scale, and macro-scale in global seismicity identified by empirical mode decomposition and their multifractal characteristics , 2018, Scientific Reports.

[93]  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 .

[94]  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.

[95]  N. Papasimakis,et al.  Correlated and uncorrelated heart rate fluctuations during relaxing visualization , 2010 .

[96]  Alejandro Ramírez-Rojas,et al.  The Complexity Measures Associated with the Fluctuations of the Entropy in Natural Time before the Deadly México M8.2 Earthquake on 7 September 2017 , 2018, Entropy.

[97]  C. Tsallis.  Possible generalization of Boltzmann-Gibbs statistics , 1988 .

[98]  D. Turcotte,et al.  Natural Time and Nowcasting Earthquakes: Are Large Global Earthquakes Temporally Clustered? , 2018, Pure and Applied Geophysics.

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

[100]  Giorgos Tatsis,et al.  A Prototype Photoplethysmography Electronic Device that Distinguishes Congestive Heart Failure from Healthy Individuals by Applying Natural Time Analysis , 2019, Electronics.

[101]  Structure of fluctuations near mean-field critical points and spinodals and its implication for physical processes. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[102]  D. Turcotte,et al.  Natural time and nowcasting induced seismicity at the Groningen gas field in the Netherlands , 2018, Geophysical Journal International.

[103]  Costas A. Varotsos,et al.  A new tool for the study of the ozone hole dynamics over Antarctica , 2012 .

[104]  Costas A. Varotsos,et al.  On the progress of the 2015-2016 El Niño event , 2016 .

[105]  Carlson,et al.  Properties of earthquakes generated by fault dynamics. , 1989, Physical review letters.

[106]  P. Varotsos,et al.  Earthquake prediction and electric signals , 1986, Nature.