| simulate_background_earthquakes {ETASbootstrap} | R Documentation |
Simulate a catalog of background earthquakes
Description
In fitting the ETAS model to the earthquake data catalog of
interest (earthquake_data), the background intensity function {\mu}
is estimated. This function performs a simulation
of background events based on the estimated \hat{{\mu}}.
The time period for the simulated background catalog is consistent with
that of earthquake_data.
Usage
simulate_background_earthquakes(earthquake_data_plus)
Arguments
earthquake_data_plus |
A object of data.frame with 7 columns: date, time, longitude, latitude, magnitude, bandwidth, and probability, in this order and in a consistent format for the first 5 columns. The columns bandwidth and probability are two numeric vectors. Column bandwidth records the smoothness bandwidths used in variable kernel estimation and column probability contains the probability for each earthquake in the catalog of interest (observed earthquakes) to be a background event; see the etas function in the ETAS package (Jalilian and Zhuang, 2021) and the articles of Zhuang et al. (2002, 2004). |
Value
background_catalog: An object of data.frame with 5 columns: date, time, longitude, latitude, and magnitude of the simulated background earthquakes, in this order and a consistent format.
References
Zhuang, J., Y. Ogata, and D. Vere-Jones (2002). Stochastic declustering of space-time earthquake occurrences. Journal of the American Statistical Association 97(458), 369–380.
Zhuang, J., Y. Ogata, and D. Vere-Jones (2004). Analyzing earthquake clustering features by using stochastic reconstruction. Journal of Geophysical Research: Solid Earth 109(B05301).
Examples
set.seed(1)
simulate_background_earthquakes(VCI_earthquakes_plus)