Metadata
- Authors: Ogata Yosihiko 尾形良彦
- Links:: Statistical seismology
- Idea: every earthquake can trigger other earthquake with a rate that decays in time and increase with magnitude.
Basics
Notes
The temporal form of ETAS model shown as the conditional intensity function
is the background rate, is the productivity of an event. c and p are parameters in the Omori-Utsu law Spatial-temporal form from Ogata.AnnInstStatMath.1998
is the background intensity function, which is assumed to be independent of time. The functions and s(m) are respectively the normalized response functions (i.e., probability density functions) of the occurrence time, the location, the magnitude of an offspring from an ancestor of magnitude . We note that
is the expected number of children from a parent of size Link to original
Question How to control the total energy output by ETAS model?
Resources
- SED postdoc Leila Mizrahi has a python version of the ETAS model on github
- Shyam Nandan’s papers
References
- Zhuang, J., D. Harte, M.J. Werner, S. Hainzl, and S. Zhou (2012), Basic models of seismicity: temporal models, Community Online Resource for Statistical Seismicity Analysis, doi:10.5078/corssa-79905851. Available at www.corssa.org.
- Zhuang, J., M.J. Werner, S. Hainzl, D. Harte, and S. Zhou (2011), Basic models of seismicity: spatiotemporal models, Community Online Resource for Statistical Seismicity Analysis, doi:10.5078/corssa-07487583. Available at www.corssa.org.
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- Time law: [Omori-Utsu law](../research/statistical seismology/Scaling Laws/Omori-Utsu law.md)
- Magnitude law:
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