This article gives the results of a study using 1484 strong-motion records, which tried to find an upper limit on the accuracy that attenuation relations can achieve independently of the functional form adopted and the methods used for the construction of the equation. It is found that the current data do not allow a significant improvement in the uncertainty over what has been found for previous attenuation relations. Also, we find evidence for significant nonuniform scatter with respect to magnitude and that the scatter is not dependent on the amplitude of ground motion.

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