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Predictions of seismic ground motion usually consider a source factor, a path factor, and a site amplification factor.
However, because they have spectrum contents, S and G (and also path factor f2) should be represented by the function of frequency.
Even when the source factor and path factor are appropriately evaluated, we should expect errors of if the site amplification factor is represented by single scalar value.
It should be noted here that the uncertainty due to fluctuations of the path factor should also be considered in the calculation of anticipated seismic intensity in addition to the above-mentioned source and site factors.
The uncertainty of the anticipated seismic intensity in this paper corresponds to the ideal case of the hypocenter and magnitude being determined precisely and path factor being represented using 3D attenuation structure based on Eq. (2).
This average suggests that we should expect such a fluctuation in seismic intensity for each observation site even if the source factor and path factor are the same when the site amplification factor is represented by a single scalar value.
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