Electronic Supplement to
Regional Differences in Ground-Motion Amplitudes of Small-to-Moderate Earthquakes across North America

by Alireza Babaie Mahani and Gail M. Atkinson

This electronic supplement contains links to figures showing the ground-motion amplitudes in each region and their ratios with respect to southern California.

In addition, a table is given for the log(base 10)-averaged ground-motion amplitude ratios.


Table

Table S1. Log(base 10)-averaged ground-motion amplitude ratios in each region to those in southern California.


Figures

Figure S1. Plot of PSA-1 Hz (cm/s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and Northeast (all for B/C site condition).

Figure S2. Plot of PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and Northeast (all for B/C site condition).

Figure S3. Plot of PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and Northeast (all for B/C site condition).

Figure S4. Plot of PSA-1 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and northern California (all for B/C site condition).

Figure S5. Plot of PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and northern California (all for B/C site condition).

Figure S6. Plot of PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.45 and 4.95 for southern California and northern California (all for B/C site condition).

Figure S7. Plot of PSA-1 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and central United States (CUS) (all for B/C site condition).

Figure S8. Plot of PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and CUS (all for B/C site condition).

Figure S9. Plot of PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and CUS (all for B/C site condition).

Figure S10. Plot of PSA-1 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and Pacific Northwest/southwestern British Columbia (PNW/BC) (all for B/C site condition).

Figure S11. Plot of PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and PNW/BC (all for B/C site condition).

Figure S12. Plot of PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of horizontal components in two magnitude bins,M 3.75 and 4.65 for southern California and PNW/BC (all for B/C site condition).

Figure S13. Plot of apprent geometric spreading coefficient (horizontal component, geometric mean) after correction for regional Q, versus frequency for several cut-off distances (with respect to distance from the source). Error bars are plotted for cut-off distance 100 km.

Figure S14. Plot of log-averaged PSA-1 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.45 and 4.95, for Northeast and northern California, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude–distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S15. Plot of log-averaged PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.45 and 4.95, for Northeast and northern California, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude–distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S16. Plot of log-averaged PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.45 and 4.95, for Northeast and northern California, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude–distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S17. Plot of log-averaged PSA-1 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.75 and 4.65, for CUS and PNW/BC, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude–distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S18. Plot of log-averaged PSA-3.3 Hz (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.75 and 4.65, for CUS and PNW/BC, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude–distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S19. Plot of log-averaged PGA (cm/ s2) versus hypocentral distance for the vertical component and geometric mean of the horizontal components in two magnitude bins,M 3.75 and 4.65, for CUS and PNW/BC, in comparison to southern California. All amplitudes corrected to site class B/C. Error bars show the standard error of the average of ground motions in each magnitude-distance bin. Points are plotted only if at least three events, each of which has at least three records, are included in a bin.

Figure S20. Results of statistical t-test for the binned vertical ground motions in Northeast and southern California. I=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S21. Results of statistical t-test for the binned horizontal ground motions in Northeast and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S22. Results of statistical t-test for the binned vertical ground motions in northern California and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S23. Results of statistical t-test for the binned horizontal ground motions in northern California and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S24. Results of statistical t-test for the binned vertical ground motions in CUS and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S25. Results of statistical t-test for the binned horizontal ground motions in CUS and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S26. Results of statistical t-test for the binned vertical ground motions in PNW/BC and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S27. Results of statistical t-test for the binned horizontal ground motions in PNW/BC and southern California. h=1 is for the case in which the difference in ground motions are statistically significant (at probability level=0.05); h=0 means differences are not statistically significant.

Figure S28. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-0.33 Hz (vertical component). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S29. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-0.33 Hz (geometric mean of the horizontal components). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S30. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-1 Hz (vertical component). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S31. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-1 Hz (geometric mean of the horizontal components). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S32. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-3.3 Hz (vertical component). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S33. Ratios of log-averaged ground motions in each region with respect to those in southern California for PSA-3.3 Hz (geometric mean of the horizontal components). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S34. Ratios of log-averaged ground motions in each region with respect to those in southern California for PGA (vertical component). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

Figure S35. Ratios of log-averaged ground motions in each region with respect to those in southern California for PGA (geometric mean of the horizontal components). The error bars are the standard error from equation 4. The solid line shows the weighted average of the ratios in each distance bins (for all magnitudes) with error bars showing weighted standard errors.

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