The depth distribution of seismicity parameters estimated for the South American area

Computer Science

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Scientific paper

Two techniques are applied in order to estimate the seismicity parameters and their depth distribution in South America, an area of high seismic activity. These techniques are: (1) Gumbel's third asymptotic (GIII) distribution of extremes and (2) the maximum likelihood approach. The obtained seismicity parameters through GIII distribution of extremes, are the ω value which is considered as the upper bound magnitude and is related to the finite maximum stresses and strains which are currently accumulated and released by the rocks, as earthquake, in a region, the shape parameter λ, and the characteristic value u, with P(u)=1/e and P(ω)=1. The most probable maximum magnitude, RM, of earthquakes for 95 years is also computed. The seismicity parameters obtained by the application of the maximum likelihood approach are the activity rate, λ, of the seismic events, the mean return period, RP, of earthquakes above a cutoff magnitude M>=m and the parameter b of the magnitude-frequency relation. The parameter β which is related to b with b=βlog10(e), is also computed. The regional maximum magnitude, Mmax (this is considered as the maximum possible magnitude in a specific region), is also provided under some constraints. Six depth-range subdivisions are defined for the examined area. All the seismicity parameters are computed and especially for GIII distribution a covariance analysis of its three parameters (ω, u and λ) is performed for each individual depth range. In all cases ω values are higher than the regional Mmax estimates. The seismic activity rate decreases with depth, while the β parameter, which ranges between 1.18 to 2.06, does not show a clear regularity in its depth distribution. An important notification is that the parameter λ obtained by the two methods, expresses totally different quantities.

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