Abstract
A method to solve a problem of spatial interpolation is described. The data are transfer functions that describe the relative amplifications of the motion in the surface of the ground of the valley of Mexico. These functions have been obtained from the Fourier spectra of accelerograms produced by several earthquakes and registered in dozens of sites in the firm ground, transition and bed lake zones. A statistical scheme to restrict the spatial interpolation of transfer functions by means of the use of a bayessian regression technique is proposed. It allows to make a formal incorporation of the information that is had about the site effects in the dynamic response of the ground. This formulation provides more stable and rational solutions than those obtained when following conventional schemes of regression for the spatial interpolation of geophysical data. The practical utility of the proposed approach is that it allows to quantify the dynamic amplifications in sites where there are no instruments.
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