Electronic Supplement to
Probabilistic Relationships between Ground-Motion Parameters and Modified Mercalli Intensity

by C. B. Worden, M. C. Gerstenberger, D. A. Rhoades, and D. J. Wald

Figures

This electronic supplement contains a number of figures that are the 0.3 s, 1.0 s, and 3.0 s pseudo-spectral acceleration equivalents (PSA) of the Peak Ground Acceleration (PGA) and Peak Ground Velocity (PGV) figures presented within the paper.

Figures

(Click thumbnails to enlarge.)

Figure S1a Figure S1b Figure S1c
Figure S1. Pseudo-spectral acceleration (PSA)/intensity “pairs” in the California data: (a) 0.3 s PSA vs. MMI; (b) 1.0 s PSA vs. MMI; (c) 3.0 s PSA vs. MMI.


Figure S2a Figure S2b Figure S2c
Figure S2. Joint probability density function of ground-motion vs. intensity. For each bin of 0.1 intensity units, the median ground motion is shown. (a) 0.3 s PSA vs. MMI; (b) 1.0 s PSA vs. MMI; (c) 3.0 s PSA vs. MMI.


Figure S3a Figure S3b Figure S3c
Figure S3. The PSA vs. MMI bilinear total least squares fit to the median picks (shown) is overlain upon the PGA/MMI pairs. The Atkinson and Kaka (2007) relation is also shown. (a) 0.3 s PSA vs. MMI; (b) 1.0 s PSA vs. MMI; (c) 3.0 s PSA vs. MMI.


Figure S4a Figure S4b Figure S4c
Figure S4. Residuals (observed MMI - predicted MMI) for MMI predicted from (a) 0.3 s PSA, (b) 1.0 s PSA, and (c) 3.0 s PSA, as a function of the log of hypocentral distance. The solid line is fit to the mean residuals (asterisks) in each distance bin.


Figure S5a Figure S5b Figure S5c
Figure S5. Residuals (observed MMI - predicted MMI) for MMI predicted from (a) 0.3 s PSA, (b) 1.0 s PSA, and (c) 3.0 s PSA, as a function of earthquake magnitude, following a correction for distance residual. The solid line is fit to the mean residuals (asterisks) in each magnitude bin.


Figure S6a Figure S6b Figure S6c
Figure S6. Comparison of the predicted MMI [given observed (a) 0.3 s PSA, (b) 1.0 s PSA, and (c) 3.0 s PSA] with the observed MMI. The solid line is the cumulative number of observations in our data at or above the intensity level on the horizontal axis. The dashed line is the cumulative number of predicted MMIs at or above the intensity, given the ground motions in the data.

References

Atkinson, G. M., and S. I. Kaka (2007). Relationships between Felt Intensity and Instrumental Ground Motion in the Central United States and California, Bull. Seism. Soc. Am., 97, 497-510.

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