1. Need for an Objective Goodness-of-Fit Measure for: Broadband synthetic time histories from different methodologies Broadband synthetic time histories versus strong-motion data

2. Kim B. Olsen and John E. Mayhew: Goodness-of-fit Criteria for Broadband Synthetic Seismograms, with Application to the 2008 Mw 5.4 Chino Hills, Califonia, Earthquake, Seismological Research Letters 80(6): 1002-1007

3. Time-domain Metrics: 1. Cross-Correlation (Waveform Comparison) 2. Peak Acceleration (PGA) 3. Peak Velocity (PGV) 4. Peak Displacement (PGD) 5. Cumulative Energy Spectral Metrics: 1. Smoothed Fourier Amplitude Amplitudes 2. Average Response Spectra (0.1-10s) 3. Spectral Accelerations at NGA Periods 4. Duration at Selected Periods 5. Inelastic/Elastic Ratios (I/E)

4. The Goodness-of-fit Scale 100 90 80 70 60 50 40 30 20 10 0 1 2 3 Try Again

5. Visual Confirmation of GOF Values GOF FS =51GOF FS =11 GOF RS =75GOF RS =14 GOF PGV =82 GOF PGV =19

6. Redundancy of Metrics Correlation Matrix (33 stations)

7. User supplies a list of weights (w i ) Normalized weights are applied to each metric GOF value (  i ) for the overall site and component GOF values Weights

8. Example of GOF Estimation for M w 5.4 Chino Hills

9. New: map-based GOF PGA SA-0.2s SA-2s IE 0.2-0.5s IE 0.75-2.5s IE 2-5s

10. IE ratios derived from data (gray) and synthetics (black) for the 2008 Chino Hills earthquake. Dots are results from 33 stations, and the solid lines are the corresponding mean values.