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The size or energy of diverse structures or phenomena in geoscience appears to follow power-law distributions. A rigorous statistical analysis of such observations is tricky, though. Observables can span several orders of magnitude, but the…

Geophysics · Physics 2019-04-29 Álvaro Corral , Álvaro González

Around 90% of the earthquakes in the world occur at the circum-Pacific belt referred to as the Pacific Ring of Fire exposing the countries in this region to high risk of earthquake hazards. We model fluctuations of the different seismic…

We present a general stochastic forest-fire model which shows a variety of different structures depending on the parameter values. The model contains three possible states per site (tree, burning tree, empty site) and three parameters (tree…

Condensed Matter · Physics 2009-10-22 B. Drossel , F. Schwabl

To characterize the dynamical features of seismicity as a complex phenomenon, the seismic data is mapped to a growing random graph, which is a small-world scale-free network. Here, hierarchical and mixing properties of such a network are…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sumiyoshi Abe , Norikazu Suzuki

Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record…

Geophysics · Physics 2015-06-26 Joern Davidsen , Peter Grassberger , Maya Paczuski

The dynamics of a wide range of real systems, from email patterns to earthquakes, display a bursty, intermittent nature, characterized by short timeframes of intensive activity followed by long times of no or reduced activity. The…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kwang-Il Goh , Albert-Laszlo Barabasi

Since long back, scientists have been putting enormous effort to understand earthquake dynamics -the goal is to develop a successful prediction scheme which can provide reliable alarm that an earthquake is imminent. Model studies sometimes…

Statistical Mechanics · Physics 2009-08-03 Srutarshi Pradhan

The concept of proper time, which is different from universal time, has been introduced into the physics of earthquakes. The global activity of strong earthquakes was chosen as the object of study. We consider the sequence of earthquakes as…

Geophysics · Physics 2022-07-25 A. V. Guglielmi , O. D. Zotov

We study statistical properties of the number of large earthquakes over the past century. We analyze the cumulative distribution of the number of earthquakes with magnitude larger than threshold M in time interval T, and quantify the…

Geophysics · Physics 2012-03-30 Eric G. Daub , Eli Ben-Naim , Robert A. Guyer , Paul A. Johnson

We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and…

Statistical Mechanics · Physics 2020-03-17 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

The successful prediction of earthquakes is one of the holy grails in Earth Sciences. Traditional predictions use statistical information on recurrence intervals, but those predictions are not accurate enough. In a recent paper, a machine…

Geophysics · Physics 2020-11-16 Silke van Klaveren , Ivan Vasconcelos , Andre Niemeijer

A numerical scheme using the combined finite-discrete element methods (FDEM) is employed to study a model of an earthquake system comprising a granular layer embedded in a formation. When the formation is driven so as to shear the granular…

Geophysics · Physics 2019-07-31 Ke Gao , Robert Guyer , Esteban Rougier , Christopher X. Ren , Paul A. Johnson

The Amazon rainforest is considered one of the Earth's tipping elements and may lose stability under ongoing climate change. Recently a decrease in tropical rainforest resilience has been identified globally from remotely sensed vegetation…

Atmospheric and Oceanic Physics · Physics 2024-03-19 Vitus Benson , Jonathan F. Donges , Niklas Boers , Marina Hirota , Andreas Morr , Arie Staal , Jürgen Vollmer , Nico Wunderling

Wildfire is an important system process of the earth that occurs across a wide range of spatial and temporal scales. A variety of methods have been used to predict wildfire phenomena during the past century to better our understanding of…

Applications · Statistics 2013-12-24 S. W. Taylor , Douglas G. Woolford , C. B. Dean , David L. Martell

The process of desertification is usually modeled as a first order transition, where a change of an external parameter (e.g. precipitation) leads to a catastrophic bifurcation followed by an ecological regime shift. However, vegetation…

Populations and Evolution · Quantitative Biology 2015-06-18 Haim Weissmann , Nadav M. Shnerb

Numerical simulation of seismicity has been successfully developed and used for the two last decades. Presently, the general theory of modeling and the progress in computational techniques provide wide options for simulation of seismic and…

Geophysics · Physics 2015-07-17 Aleksandr M. Linkov , Liliana Rybarska-Rusinek , Victor V. Zoubkov

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

Let $T$ be a regular rooted tree. For every natural number $n$, let $B_n$ be the finite subtree of vertices with graph distance at most $n$ from the root. Consider the following forest-fire model on $B_n$: Each vertex can be "vacant" or…

Probability · Mathematics 2014-04-02 Robert Graf

Mass extinction is a phenomenon in the history of life on Earth when a considerable number of species go extinct over a relatively short period of time. The magnitude of extinction varies between the events, the most well known are the…

Adaptation and Self-Organizing Systems · Physics 2022-08-29 Amer Alsulami , Sergei Petrovskii

A recently proposed unified scaling law for interoccurrence times of earthquakes [P. Bak et al., Phys. Rev. Lett. {\bf 88}, 178501 (2002)] is analyzed, both theoretically and with data from Southern California. We decompose the…

Condensed Matter · Physics 2009-11-10 Alvaro Corral