# Scaling laws in earthquake memory for interevent times and distances

@article{Zhang2019ScalingLI, title={Scaling laws in earthquake memory for interevent times and distances}, author={Yongwen Zhang and Jingfang Fan and Warner Marzocchi and Aviad Shapira and Rami Hofstetter and Shlomo Havlin and Yosef Ashkenazy}, journal={arXiv: Physics and Society}, year={2019} }

Over the past decades much effort has been devoted towards understanding and forecasting natural hazards. However, earthquake forecasting skill is still very limited and remains a great scientific challenge. The limited earthquake predictability is partly due to the erratic nature of earthquakes and partly to the lack of understanding the underlying mechanisms of earthquakes. To improve our understanding and potential forecasting, here we study the spatial and temporal long-term memory of… Expand

#### 7 Citations

Improved earthquake aftershocks forecasting model based on long-term memory

- Physics
- 2021

A prominent feature of earthquakes is their empirical laws, including memory (clustering) in time and space. Several earthquake forecasting models, such as the epidemic-type aftershock sequence… Expand

Improved Earthquake Forecasting Model Based on Long-term Memory in Earthquake

- Computer Science, Physics
- 2020

The generalized ETAS model reproduces accurately the short- and long-term/distance memory observed in the Italian and South California earthquake catalogs and is found to significantly improve earthquake forecasting. Expand

Asymmetry in earthquake interevent time intervals

- Physics
- 2021

15 Here we focus on a basic statistical measure of earthquake catalogs that has not been 16 studied before, the asymmetry of interevent time series (e.g., reflecting the tendency to 17 have more… Expand

Continuous Time Random Walk with correlated waiting times. The crucial role of inter-trade times in volatility clustering

- Mathematics
- 2019

In many physical, social or economical phenomena we observe changes of a studied quantity only in discrete, irregularly distributed points in time. The stochastic process used by physicists to… Expand

A complex network approach to time series analysis with application in diagnosis of neuromuscular disorders

- Computer Science
- ArXiv
- 2021

A new approach to network development named GraphTS is proposed to overcome the limited accuracy of existing methods through EMG time series using the visibility graph method and improves accuracy, precision, recall, and recall of the treatment process. Expand

Statistical physics approaches to the complex Earth system

- Physics, Medicine
- Physics Reports
- 2020

A comprehensive review on the recent scientific progress in the development and application of how combined statistical physics and complex systems science approaches such as critical phenomena, network theory, percolation, tipping points analysis, and entropy can be applied to complex Earth systems. Expand

#### References

SHOWING 1-10 OF 61 REFERENCES

Possible origin of memory in earthquakes: Real catalogs and an epidemic-type aftershock sequence model.

- Medicine, Computer Science
- Physical review. E
- 2019

Using the detrended fluctuation analysis (DFA) and conditional probability methods, it is found that memory exists not only in interoccurrence seismic records but also in released energy as well as in the series of the number of events per unit time. Expand

Statistical physics approach to earthquake occurrence and forecasting

- Physics
- 2016

Abstract There is striking evidence that the dynamics of the Earth crust is controlled by a wide variety of mutually dependent mechanisms acting at different spatial and temporal scales. The… Expand

Long-term memory in earthquakes and the distribution of interoccurrence times

- Geology
- 2008

We study seismic records in regimes of stationary seismic activity in Northern and Southern California. Our analysis suggests that the earthquakes are long-term power law correlated with a… Expand

Earthquake forecasting during the complex Amatrice-Norcia seismic sequence

- Geology, Medicine
- Science Advances
- 2017

It is shown that the current Italian operational earthquake forecasting system issued statistically reliable and skillful space-time-magnitude forecasts of the largest earthquakes during the complex 2016–2017 Amatrice-Norcia sequence, which is characterized by several bursts of seismicity and a significant deviation from the Omori law. Expand

Influence of time and space correlations on earthquake magnitude.

- Medicine, Physics
- Physical review letters
- 2008

Here it is shown the existence of clustering in magnitude: earthquakes occur with higher probability close in time, space, and magnitude to previous events. Expand

Observing spatio-temporal clustering and separation using interevent distributions of regional earthquakes

- Mathematics
- 2014

Abstract. Past studies that attempted to quantify the spatio-temporal organization of seismicity have defined the conditions by which an event and those that follow it can be related in space and/or… Expand

Memory in the occurrence of earthquakes.

- Mathematics, Geology
- Physical review letters
- 2005

It is found that the distribution of the recurrence times strongly depends on the previous recurrence time tau0, such that small and largeRecurrence times tend to cluster in time, and the risk of encountering the next event within a certain time span after the last event depends significantly on the past. Expand

Long-term earthquake forecasts based on the epidemic-type aftershock sequence (ETAS) model for short-term clustering

- Geology
- 2012

Based on the ETAS (epidemic-type aftershock sequence) model, which is used for describing the features of short-term clustering of earthquake occurrence, this paper presents some theories and… Expand

Multiple-time scaling and universal behavior of the earthquake interevent time distribution.

- Physics, Medicine
- Physical review letters
- 2010

It is shown that the interevent time distribution exhibits a universal behavior over the entire temporal range if four characteristic times are taken into account and provides a tool to identify the dependence on the mainshock magnitude of the c parameter that fixes the onset of the power law decay in the Omori law. Expand

Long-term clustering, scaling, and universality in the temporal occurrence of earthquakes.

- Geology, Medicine
- Physical review letters
- 2004

Analyzing diverse seismic catalogs, we have determined that the probability densities of the earthquake recurrence times for different spatial areas and magnitude ranges can be described by a unique… Expand