Abstract
We determined the first significant peak frequency () and highest significant peak frequency () from the horizontal‐to‐vertical spectral ratio curves for each strong motion station and proposed logarithmic bilinear models for and . Compared to the standard deviation of logarithmic bilinear, which is 1.3119 (0.1179 units), the standard deviation of logarithmic bilinear model is 1.3020 (0.1146 units), indicating lower uncertainty. Second, the ratio distribution, residuals, and their standard deviations for ‐based and topographic slope‐based relative to the measured were compared and analyzed. Finally, using the logarithmic bilinear model and topographic slope, we estimated the site ‐values for 228 stations with definite ‐values in the dataset of Zhang et al. (2022) (ZYLW22) ground‐motion prediction equation (GMPE), which were then applied in the construction of GMPE, respectively. Compared with the site estimated using topographic slope, the ratio of ‐based to measured is centered around 1.016, with residuals predominantly distributed between −0.2 and 0.2. The residual standard deviation is 1.3071 (0.1163 units), indicating smaller uncertainty. Moreover, using the logarithmic bilinear model to estimate site for the 228 stations with determined ‐values, the average standard deviations of the site‐to‐site, within‐event, and total residuals in the GMPE for spectra acceleration at periods ranging from 0.2 to 3.0 s are reduced by 2.80%, 2.23%, and 1.57%, respectively, effectively reducing the variability of the GMPE in southwest China.