"Universal" Distribution of Inter-Earthquake Times Explained
arXiv:physics/0604018 · doi:10.1103/PhysRevLett.97.078501
Abstract
We propose a simple theory for the ``universal'' scaling law previously reported for the distributions of waiting times between earthquakes. It is based on a largely used benchmark model of seismicity, which just assumes no difference in the physics of foreshocks, mainshocks and aftershocks. Our theoretical calculations provide good fits to the data and show that universality is only approximate. We conclude that the distributions of inter-event times do not reveal more information than what is already known from the Gutenberg-Richter and the Omori power laws. Our results reinforces the view that triggering of earthquakes by other earthquakes is a key physical mechanism to understand seismicity.
4 pages with two figures
References in corpus (12)
- Unified Scaling Law for Earthquakes
- Sub-critical and Super-critical Regimes in Epidemic Models of Earthquake Aftershocks
- Importance of small earthquakes for stress transfers and earthquake triggering
- Foreshocks Explained by Cascades of Triggered Seismicity
- Local Distributions and Rate Fluctuations in a Unified Scaling Law for Earthquakes
- Interevent time distribution in seismicity: a theoretical approach
- Universal local versus unified global scaling laws in the statistics of seismicity
- Multifractal Scaling of Thermally-Activated Rupture Processes
- Correlations and invariance of seismicity under renormalization-group transformations
- Distribution of the Largest Aftershocks in Branching Models of Triggered Seismicity: Theory of the Universal Bath's law
- Anomalous Power Law Distribution of Total Lifetimes of Branching Processes Relevant to Earthquakes
- Seismic Interevent Time: A Spatial Scaling and Multifractality
Cited by in corpus (53)
- Statistical similarity between the compression of a porous material and earthquakes
- Statistical physics approaches to the complex Earth system
- Theory of Earthquake Recurrence Times
- On the influence of time and space correlations on the next earthquake magnitude
- Return interval distribution of extreme events and long term memory
- Reconciliation of Waiting Time Statistics of Solar Flares Observed in Hard X-Rays
- Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes
- Detrended fluctuation analysis of intertrade durations
- Estimating inter-event time distributions from finite observation periods in communication networks
- Multiple-Time Scaling and Universal Behavior of the Earthquake Interevent Time Distribution
- The Weibull - Log Weibull Distribution for Interoccurrence Times of Earthquakes
- Limits of Declustering Methods for Disentangling Exogenous from Endogenous Events in Time Series with Foreshocks, Main shocks and Aftershocks
- Recurrence interval analysis of high-frequency financial returns and its application to risk estimation
- Nonlinear theory and tests of earthquake recurrence times
- Correlated bursts and the role of memory range
- Scaling in the Timing of Extreme Events
- Unfolding large-scale online collaborative human dynamics
- Extreme value statistics and recurrence intervals of NYMEX energy futures volatility
- Statistical properties of volatility return intervals of Chinese stocks
- Is seismicity operating at a critical point?
- Fast radio bursts trigger aftershocks resembling earthquakes, but not solar flares
- Multiscaling behavior in the volatility return intervals of Chinese indices
- Recurrence interval analysis of trading volumes
- Scaling and memory in the return intervals of realized volatility
- Finite-Size Effects on Return Interval Distributions for Weakest-Link-Scaling Systems
- Exogenous and Endogenous Price Jumps Belong to Different Dynamical Classes
- Interoccurrence time statistics in the two-dimensional Burridge-Knopoff earthquake model
- Point-occurrence self-similarity in crackling-noise systems and in other complex systems
- Stochastic Stick - Slip Model Linking Crustal Shear Strength and Earthquake Interevent Times
- Statistical Physics Approaches to Seismicity
- Scaling Laws in Earthquake Memory for Interevent Times and Distances
- Possible Origin of Memory in Earthquakes: Real catalogs and ETAS model
- Earthquake-like patterns of acoustic emission in crumpled plastic sheets
- Similarity to earthquakes again: periodic radio pulses of the magnetar SGR 1935+2154 are accompanied by aftershocks like fast radio bursts
- Fertility Heterogeneity as a Mechanism for Power Law Distributions of Recurrence Times
- Development and regression of a large fluctuation
- Extensive Characterization of Seismic Laws in Acoustic Emissions of Crumpled Plastic Sheets
- Early warning of large volatilities based on recurrence interval analysis in Chinese stock markets
- Statistical Tests for Scaling in the Inter-Event Times of Earthquakes in California
- Theory of earthquakes interevent times applied to financial markets
- Quantifying Uncertainty in a Predictive Model for Popularity Dynamics
- Universal bursty behavior in the air transportation system
- Spurious trend switching phenomena in financial markets
- Earthquake magnitude distribution and aftershocks: a statistical geometry explanation
- Detrended fluctuation analysis of earthquake data
- Effect of Burstiness on the Air Transportation System
- Condensation phenomena in fat-tailed distributions: a characterization by means of an order parameter
- Hidden jerk in universal creep and aftershocks
- Fractality of eroded coastlines of correlated landscapes
- Asymmetry in earthquake interevent time intervals
- Estimation of the Hawkes Process With Renewal Immigration Using the EM Algorithm
- Universal features of correlated bursty behaviour
- Statistics of seismic cluster durations