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A preliminary descriptive model for the distance dependence of the spectral decay parameter in southern California

SEISMOLOGICAL LABORATORY AND DEPARTMENT OF GEOLOGICAL SCIENCES MACKAY SCHOOL OF MINES UNIVERSITY OF NEVADA, RENO, NEVADA 89557

Abstract

The spectral decay parameter, , defined by Anderson and Hough (1984) is described as a function of distance, R, and site, S, as (R, S) = ₀(S) + {small tilde}(R). The terms {small tilde}(R) and ₀(S) are found by a method that is unbiased by prior assumptions about the nature of the distance dependence. Variance using this model is substantially smaller than in simpler models that do not incorporate both site effects and a distance effect. For data gathered near Anza, California, and for distances less than 100 km, {small tilde}(R) is very similar for both P- and S-wave windows, but ₀(S) is smaller for P than for S on average by a factor of about 2.

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