Empirical relations are developed to describe response spectral amplit
udes as a function of earthquake magnitude, focal depth, and distance,
for earthquakes in the Cascadia region of southwestern British] Colum
bia and northwestern Washington State, The relations are based on regr
ession of response spectra data from crustal subcrustal, and subductio
n earthquakes recorded on rock and soil sites. The relations apply to
earthquakes of moment magnitude, M, in the range 4 less than or equal
to M less than or equal to 8.2 with focal depths from 1 to 60 km, at d
istances up to several hundred kilometres. Most of the data for modera
te-to-large events (4 less than or equal to M < 7) are from the Cascad
ia region, while those for very large events (M greater than or equal
to 7.5) are from other subduction zones. The ground motion amplitudes
for large (M = 7) shallow earthquakes in the Cascadia region are about
the same as those for corresponding events in California. By contrast
, moderate (M = 5) Cascadia earthquakes have smaller ground motion amp
litudes than do moderate California earthquakes. The motions predicted
for very large subduction earthquakes (M = 8) are similar to those ob
tained by Crouse.