Description Usage Arguments Details Value References See Also
Compute the probability density function (PDF) of the bulk frenquency-magnitude distribution (FMD), as defined by Ogata and Katsura (2006) (see also Ringdal, 1975; Ogata and Katsura, 1993).
1 | bfmd.pdf(m, theta)
|
m |
a numeric vector of earthquake magnitudes |
theta |
a list of 3 parameters:
|
The bulk FMD model is the product of the Gutenberg-Richter model and a detection function defined as the cumulative Normal distribution. Its FMD has a curved shape in the log-lin space and corresponds to the case where the completeness magnitude mc is variable (the FMD curvature representing the mc distribution; read more in Mignan, 2012; Mignan and Chen, 2016).
A numeric vector of densities.
Mignan, A. (2012), Functional shape of the earthquake frequency-magnitude distribution and completeness magnitude, J. Geophys. Res., 117, B08302, doi: 10.1029/2012JB009347
Mignan, A., Chen, C.-C. (2016), The Spatial Scale of Detected Seismicity, Pure Appl. Geophys., 173, 117-124, doi: 10.1007/s00024-015-1133-7
Ogata, Y., Katsura, K. (1993), Analysis of temporal and spatial heterogeneity of magnitude frequency distribution inferred from earthquake catalogues, Geophys. J. Int., 113, 727-738
Ogata, Y., Katsura, K. (2006), Immediate and updated forecasting of aftershock hazard, Geophys. Res. Lett., 33, L10305, doi: 10.1029/2006GL025888
Ringdal, F. (1975), On the estimation of seismic detection thresholds, Bull. Seismol. Soc. Am., 65, 1631-1642
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