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Ruptures of the largest earthquakes can last between a few seconds and several minutes. An early assessment of the final earthquake size is essential for early warning systems. However, it is still unclear when in the rupture history this…

Geophysics · Physics 2022-07-08 Jannes Münchmeyer , Ulf Leser , Frederik Tilmann

Induced seismicity has emerged as a source of a significant earthquake hazard associated with recent development of unconventional energy resources. Therefore, it is imperative to develop stochastic models that can accurately describe the…

Geophysics · Physics 2024-10-08 Robert Shcherbakov

Continuous GPS and broadband seismic monitoring have revealed a variety of disparate slip patterns especially in shallow dipping subduction zones, among which regular earthquakes, slow slip events and silent quakes1,2. Slow slip events are…

Geophysics · Physics 2015-05-13 Christophe Voisin , Jean-Robert Grasso , Eric Larose , François Renard

Frequency-magnitude distributions, and their associated uncertainties, are of key importance in statistical seismology. When fitting these distributions, the assumption of Gaussian residuals is invalid since event numbers are both discrete…

Geophysics · Physics 2009-11-13 J. Greenhough , I. G. Main

The identification of patterns in space, time, and magnitude, which could potentially encode the subsequent earthquake magnitude, represents a significant challenge in earthquake forecasting. A pivotal aspect of this endeavor involves the…

Geophysics · Physics 2024-04-25 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

The probability distribution of inter-event time (IET) between two consecutive earthquakes is a measure for the uncertainty in the occurrence time of earthquakes in a region of interest. It is well known that the IET distribution for…

Geophysics · Physics 2025-06-12 Sumanta Kundu , Anca Opris , Yosuke Aoki , Takahiro Hatano

The recently introduced Minimalist Model [Vazquez- Prada et al., 2002] of characteristic earthquakes provides a simple representation of the seismicity originated in a sin- gle fault. Here, we first characterize the properties of this model…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 R. Lopez-Ruiz , M. Vazquez-Prada , J. B. Gomez , A. F. Pacheco

Statistical tests of earthquake predictions require a null hypothesis to model occasional chance successes. To define and quantify `chance success' is knotty. Some null hypotheses ascribe chance to the Earth: Seismicity is modeled as…

Applications · Statistics 2022-09-21 Brad Luen , Philip B. Stark

The current understanding of the earthquake interevent times distribution (ITD) is incomplete. The Weibull distribution is often used to model the earthquake ITD. We link the earthquake ITD on single faults with the Earth's crustal shear…

Geophysics · Physics 2014-01-31 Dionissios T. Hristopulos , Vasiliki Mouslopoulou

By using the M>=5 global earthquake data for Jan. 1950 to Dec. 2015, we performed statistical analyses for the parameters magnitude, time, and depth on a yearly scale. The magnitude spectrum, which is the earthquake number accumulated at…

Geophysics · Physics 2016-07-20 Z. X. Zhang , X. Q. Li

Given a distribution of earthquake-induced seafloor elevations, we present a method to compute the probability of the resulting tsunamis reaching a certain size on shore. Instead of sampling, the proposed method relies on optimization to…

Geophysics · Physics 2023-07-05 Shanyin Tong , Eric Vanden-Eijnden , Georg Stadler

Earthquakes are commonly estimated using physical seismic stations, however, due to the installation requirements and costs of these stations, global coverage quickly becomes impractical. An efficient and lower-cost alternative is to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Daniele Rege Cambrin , Isaac Corley , Paolo Garza , Peyman Najafirad

The $b$-value in the Gutenberg-Richter (GR) law contains information that is essential for evaluating earthquake hazard and predicting the occurrence of large earthquakes. Estimates of $b$ are often based on seismic events whose magnitude…

Geophysics · Physics 2018-03-19 Jesper Martinsson , Adam Jonsson

Induced seismicity due to fluid extraction or injection has become a critical issue in regions with extensive hydrocarbon production, such as the Groningen gas field in the Netherlands. This study examines the relationship between pore…

Applications · Statistics 2024-09-30 Zhuldyzay Baki

Discovery of a new scale-free law of earthquake phenomenon is reported. It is relevant to the structural and dynamical properties of the earthquake network proposed in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)].…

Other Condensed Matter · Physics 2007-05-23 Sumiyoshi Abe , Norikazu Suzuki

Earthquake occurrence is notoriously difficult to predict. While some aspects of their spatiotemporal statistics can be relatively well captured by point-process models, very little is known regarding the magnitude of future events, and it…

Geophysics · Physics 2026-04-29 Neri Berman , Oleg Zlydenko , Oren Gilon , Yossi Matias , Yohai Bar-Sinai

We study the statistical properties of time distribution of seimicity in California by means of a new method of analysis, the Diffusion Entropy. We find that the distribution of time intervals between a large earthquake (the main shock of a…

We construct a one-dimensional piecewise linear intermittent map from the interevent time distribution for a given renewal process. Then, we characterize intermittency by the asymptotic behavior near the indifferent fixed point in the…

Chaotic Dynamics · Physics 2015-05-13 Takuma Akimoto , Tomohiro Hasumi , Yoji Aizawa

The $b$-value in earthquake magnitude-frequency distribution quantifies the relative frequency of large versus small earthquakes. Monitoring its evolution could provide fundamental insights into temporal variations of stress on different…

Geophysics · Physics 2023-06-19 Eugenio Lippiello , Giuseppe Petrillo

Investment in measuring a process more completely or accurately is only useful if these improvements can be utilised during modelling and inference. We consider how improvements to data quality over time can be incorporated when selecting a…

Methodology · Statistics 2021-02-02 Zak Varty , Jonathan A. Tawn , Peter M. Atkinson , Stijn Bierman