rseismNet: rseismNet: Earthquake Frequency-Magnitude Distribution &...

In amignan/rseismNet: Earthquake Frequency-Magnitude Distribution & Network Statistics

Description

A suite of statistical functions to describe the earthquake frequency magnitude distribution (FMD) statistics. This package is based on the 2 following rules: (1) the complete FMD side (m>=mc) is governed by the Gutenberg-Richter law and depends on the fault network properties; (2) the incomplete FMD part (m<mc) is governed by a detection function and depends on the seismic network properties (with m the earthquake magnitude and mc the completeness magnitude). rseismNet also implements the Bayesian Magnitude of Completeness (BMC) method, which uses a seismic network prior to map mc.

rseismNet basic functions

beta.mle, bfmd.pdf, bfmd.sim, chi.mle, efmd.sim, fmd, mc.val

rseismNet mapping functions

bmc, bmc.bayes, bmc.prior, bmc.prior.default, d.geogr2km, mc.geogr

References

Aki, K. (1965), Maximum likelihood estimate of b in the formula log N = a - bM and its confidence limits, Bull. Earthquake Res. Inst. Univ. Tokyo, 43, 237-239

Amorese, D. (2007), Applying a Change-Point Detecion Method on Frequency-Magnitude Distributions, Bull. Seismol. Soc. Am., 97, 1742-1749, doi: 10.1785/0120060181

Devroye, L. (1986), Non-Uniform Random Variate Generation, Springer-Verlag New York Inc., New York, 843 pp.

Gutenberg, B., Richter, C.F. (1944), Frequency of earthquakes in California, Bull. Seismol. Soc. Am., 34, 184-188

Kraft, T., Mignan, A., Giardini, D. (2013), Optimization of a large-scale microseismic monitoring network in northern Switzerland, Geophys. J. Int., 195, 474-490, doi: 10.1093/gji/ggt225

Lewis, P.A.W., Shedler, G.S. (1979), Simulation of nonhomogeneous poisson processes by thinning, Naval Res. Logistics, 26, 403-413 doi: 10.1002/nav.3800260304

Mignan, A., Werner, M.J., Wiemer, S., Chen, C.-C., Wu, Y.-M. (2011), Bayesian Estimation of the Spatially Varying Completeness Magnitude of Earthquake Catalogs, Bull. Seismol. Soc. Am., 101, 1371-1385, doi: 10.1785/0120100223

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., Woessner, J. (2012), Estimating the magnitude of completeness for earthquake catalogs, Community Online Resource for Statistical Seismicity Analysis, doi: 10.5078/corssa-00180805

Mignan, A., Jiang, C., Zechar, J.D., Wiemer, S., Wu, Z., Huang, Z. (2013), Completeness of the Mainland China Earthquake Catalog and Implications for the Setup of the China Earthquake Forecast Texting Center, Bull. Seismol. Soc. Am., 103, 845-859, doi: 10.1785/0120120052

Mignan, A., Chouliaras, G. (2014), Fifty Years of Seismic Network Performance in Greece (1964-2013): Spatiotemporal Evolution of the Completeness Magnitude, Seismol. Res. Lett., 85, 657-667 doi: 10.1785/0220130209

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

Panzera, F., Mignan, A., Vogfjord, K.S. (2017), Spatiotemporal evolution of the completeness magnitude of the Icelandic earthquake catalogue from 1991 to 2013, J. Seismol., 21, 615-630, doi: 10.1007/s10950-016-9623-3

Tormann, T., Wiemer, S., Mignan, A. (2014), Systematic survey of high-resolution b value imaging along Californian faults: inference on asperities, J. Geophys. Res. Solid Earth, 119, 2029-2054, doi: 10.1002/2013JB010867

Wiemer, S., Wyss, M. (2000), Minimum Magnitude of Completeness in Earthquake Catalogs: Examples from Alaska, the Western United States, and Japan, Bull. Seismol. Soc. Am., 90, 859-869

amignan/rseismNet documentation built on July 8, 2019, 6:53 p.m.