Natural Time Analysis of Seismicity within the Mexican Flat Slab before the M7.1 Earthquake on 19 September 2017

One of the most important subduction zones in the world is located in the Mexican Pacific Coast, where the Cocos plate inserts beneath the North American plate. One part of it is located in the Mexican Pacific Coast, where the Cocos plate inserts beneath the North American plate with different dip angles, showing important seismicity. Under the central Mexican area, such a dip angle becomes practically horizontal and such an area is known as flat slab. An earthquake of magnitude M7.1 occurred on 19 September 2017, the epicenter of which was located in this flat slab. It caused important human and material losses of urban communities including a large area of Mexico City. The seismicity recorded in the flat slab region is analyzed here in natural time from 1995 until the occurrence of this M7.1 earthquake in 2017 by studying the entropy change under time reversal and the variability β of the order parameter of seismicity as well as characterize the risk of an impending earthquake by applying the nowcasting method. The entropy change ΔS under time reversal minimizes on 21 June 2017 that is almost one week after the observation of such a minimum in the Chiapas region where a magnitude M8.2 earthquake took place on 7 September 2017 being Mexico’s largest quake in more than a century. A minimum of β was also observed during the period February–March 2017. Moreover, we show that, after the minimum of ΔS, the order parameter of seismicity starts diminishing, thus approaching gradually the critical value 0.070 around the end of August and the beginning of September 2017, which signals that a strong earthquake is anticipated shortly in the flat slab.

[1]  Costas A. Varotsos,et al.  On the scaling of the solar incident flux , 2015 .

[2]  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.

[3]  Qinghua Huang,et al.  Seismicity changes prior to the Ms8.0 Wenchuan earthquake in Sichuan, China , 2008 .

[4]  Bernhard Lesche,et al.  Instabilities of Rényi entropies , 1982 .

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

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

[7]  N. Kanjorski Cocos plate structure along the Middle America subduction zone off Oaxaca and Guerrero, Mexico: Influence of subducting plate morphology on tectonics and seismicity , 2003 .

[9]  Panayiotis A. Varotsos,et al.  Natural Time Analysis: The Area under the Receiver Operating Characteristic Curve of the Order Parameter Fluctuations Minima Preceding Major Earthquakes , 2020, Entropy.

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

[11]  N. Sarlis,et al.  Detrended fluctuation analysis of seismicity and order parameter fluctuations before the M7.1 Ridgecrest earthquake , 2020, Natural Hazards.

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

[13]  Esko Valkeila,et al.  An Introduction to the Theory of Point Processes, Volume II: General Theory and Structure, 2nd Edition by Daryl J. Daley, David Vere‐Jones , 2008 .

[14]  Robert W. Clayton,et al.  Nonvolcanic tremor observed in the Mexican subduction zone , 2008 .

[15]  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.

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

[17]  F. Angulo-Brown,et al.  A statistical analysis of electric self-potential time series associated to two 1993 earthquakes in Mexico , 2007 .

[18]  Nicholas V. Sarlis,et al.  Identifying the occurrence time of an impending major earthquake: a review , 2017 .

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

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

[21]  William Klein,et al.  Probabilities for large events in driven threshold systems. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[23]  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.

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

[25]  F. Angulo-Brown,et al.  Time Evolution of the Fractal Dimension of Electric Self-Potential Time Series , 2007 .

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

[27]  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 .

[28]  R. Clayton,et al.  Horizontal subduction and truncation of the Cocos Plate beneath central Mexico , 2008 .

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

[30]  B. Steinberger,et al.  On the uncertainties in hot spot reconstructions and the significance of moving hot spot reference frames , 2005 .

[31]  V. Manea,et al.  Thermo-mechanical model of the mantle wedge in Central Mexican subduction zone and a blob tracing approach for the magma transport , 2005 .

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

[33]  L. Knopoff,et al.  Model and theoretical seismicity , 1967 .

[34]  E Altshuler,et al.  Quasiperiodic events in an earthquake model. , 2006, Physical review letters.

[35]  E. S. Skordas,et al.  Material for the paper entitled “ A remarkable change of the entropy of seismicity in natural time under time reversal before the supergiant M 9 Tohoku earthquake on 11 March 2011 ” , 2018 .

[36]  D. Stegman,et al.  Global trench migration velocities and slab migration induced upper mantle volume fluxes: Constraints to find an Earth reference frame based on minimizing viscous dissipation , 2008 .

[37]  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 .

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

[39]  Maria Macchiato,et al.  Statistical analysis of fractal properties of point processes modeling seismic sequences , 2001 .

[40]  Holger Kantz,et al.  Prediction of extreme events in the OFC model on a small world network , 2010, 1004.4774.

[41]  B. Isacks,et al.  Spatial distribution of earthquakes and subduction of the Nazca plate beneath South America , 1976 .

[42]  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.

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

[44]  P. Varotsos,et al.  Long-range correlations in the electric signals that precede rupture: further investigations. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[46]  Ulrike Goldschmidt,et al.  An Introduction To The Theory Of Point Processes , 2016 .

[47]  M. Pardo,et al.  Shape of the subducted Rivera and Cocos plates in southern Mexico: Seismic and tectonic implications , 1995 .

[48]  Alejandro Ramírez-Rojas,et al.  Identifying the Occurrence Time of the Deadly Mexico M8.2 Earthquake on 7 September 2017 , 2019, Entropy.

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

[50]  Luciano Telesca,et al.  Multifractal detrended fluctuation analysis of magnitude series of seismicity of Kachchh region, Western India , 2015 .

[51]  F. Angulo-Brown,et al.  Statistical behavior of the spectral exponent and the correlation time of electric self-potential time series associated to the Ms=7.4 September 14, 1995 earthquake in Mexico , 2004 .

[52]  Funabashi,et al.  Scale-free network of earthquakes , 2002 .

[53]  P. Varotsos,et al.  Investigation of the temporal correlations between earthquake magnitudes before the Mexico M8.2 earthquake on 7 September 2017 , 2019, Physica A: Statistical Mechanics and its Applications.

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

[55]  R. Müller,et al.  Controls on back‐arc basin formation , 2006 .

[56]  Bernhard Lesche Rényi entropies and observables. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[57]  D. Turcotte,et al.  Earthquake forecasting and its verification , 2005, cond-mat/0508476.

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

[59]  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.

[60]  P. Varotsos,et al.  Some properties of the entropy in the natural time. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[61]  N. Sarlis,et al.  Fracture analysis of typical construction materials in natural time , 2020 .

[62]  Donald,et al.  Natural Time and Nowcasting Earthquakes : Are Large Global Earthquakes Temporally Clustered ? , 2022 .

[63]  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 .

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

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

[66]  Filippos Vallianatos,et al.  Multiresolution wavelets and natural time analysis before the January–February 2014 Cephalonia (Mw6.1 & 6.0) sequence of strong earthquake events , 2015 .

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

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

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

[70]  Maria Macchiato,et al.  Mono- and multi-fractal investigation of scaling properties in temporal patterns of seismic sequences , 2004 .

[71]  P. Varotsos,et al.  Natural time analysis: On the deadly Mexico M8.2 earthquake on 7 September 2017 , 2018, Physica A: Statistical Mechanics and its Applications.

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

[73]  Christina Kluge,et al.  Data Reduction And Error Analysis For The Physical Sciences , 2016 .

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

[76]  Edward H. Field,et al.  Overview of the Working Group for the Development of Regional Earthquake Likelihood Models (RELM) , 2005 .

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

[78]  H. Kanamori,et al.  Back-arc opening and the mode of subduction , 1979 .

[79]  L. Telesca,et al.  Depth‐dependent time‐clustering behaviour in seismicity of southern California , 2001 .

[80]  P. Molnar,et al.  Tectonics of the Caribbean and Middle America Regions from Focal Mechanisms and Seismicity , 1969 .

[81]  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.

[82]  John B. Rundle,et al.  Computing Earthquake Probabilities on Global Scales , 2016, Pure and Applied Geophysics.

[83]  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.

[84]  M. J. Carr,et al.  Quaternary volcanic and tectonic segmentation of Central America , 1973 .

[85]  Norikazu Suzuki,et al.  Complex-network description of seismicity , 2006 .

[86]  Yukio Ohsawa,et al.  Regional Seismic Information Entropy to Detect Earthquake Activation Precursors , 2018, Entropy.

[87]  Filippos Vallianatos,et al.  Evidence of non-extensive statistical physics of the lithospheric instability approaching the 2004 Sumatran–Andaman and 2011 Honshu mega-earthquakes , 2013 .

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

[89]  Nicholas V. Sarlis,et al.  On the Motivation and Foundation of Natural Time Analysis: Useful Remarks , 2015, Acta Geophysica.

[90]  P. Davis,et al.  Tomography and thermal state of the Cocos plate subduction beneath Mexico City , 2009 .

[91]  P. Varotsos,et al.  Entropy of seismic electric signals: analysis in natural time under time reversal. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[92]  A. Husker,et al.  A review of the geodynamic evolution of flat slab subduction in Mexico, Peru, and Chile , 2017 .

[93]  Nicholas V. Sarlis,et al.  On the Statistical Significance of the Variability Minima of the Order Parameter of Seismicity by Means of Event Coincidence Analysis , 2020, Applied Sciences.