Lower bounds for peak horizontal strong-motion amplitudes (acceleration, velocity, and displacement) as a function of local magnitude and distance to the causative fault are presented. These lower bounds result from the fact that the peak amplitudes of motion at a site must exceed certain minimum values for the response of a Wood-Anderson seismograph located at the same site to be consistent with the assigned local magnitude. The lower bounds obtained require high peak accelerations and velocities in the proximity of the source of major earthquakes. In particular, for ML = 7.0 and Δ = 10 km, the peak horizontal acceleration would have to exceed 0.69 g while the peak velocity would have to exceed 103 cm/sec.

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