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Peak Ground Acceleration, (g)In[PGA] Actual− In[PGA] GMPE210.50.10.010.00150Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M7.1 Darfield Eq.σ = 0.52 In[Y][B] σ = 0.58 In[Y]σ = 0.52 In[Y]σ = 0.63 In[Y]σ = 0.52In[Y]−58σ LLH= 0.81[C]σ LLH= 0.97σ LLH= 0.75σ LLH= 1.14σ LLH= 0.916LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250Peak Ground Acceleration, (g)In[PGA] Actual− In[PGA] GMPE210.50.10.010.00150Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M6.2 Christchurch Eq.σ In[Y]= 0.60 [B] σ In[Y]= 0.61 σ In[Y]= 0.63 σ In[Y]= 0.77 σ In[Y]= 0.53−58σ LLH= 1.12[C]σ LLH= 0.93σ LLH= 1.42σ LLH= 2.82σ LLH= 0.946LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250▲ ▲ Figure 2. A) Comparison of PGA values recorded from the M 7.1 Darfield (top panels) and M 6.2 Christchurch (bottom panels) earthquakesfor 16th, 50th (median), and 84th percentile predictions from five different GMPEs. B) Residuals computed for each GMPE formedian prediction; also shown is the trend line to quantify distance bias. C) Average-log likelihood (LLH) values are to determine performanceof GMPEs; higher LLH values indicate poorer performance.868 Seismological Research Letters Volume 82, Number 6 November/December 2011

Spectral Acceleration (0.3 s), (g)In[SA(0.3 s)] Actual− In[SA(0.3 s)] GMPE210.50.10.010.00150−58Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M7.1 Darfield Eq.σ In[Y]= 0.59 [B] σ In[Y]= 0.69 σ In[Y]= 0.63 σ In[Y]= 0.71 σ In[Y]= 0.63σ LLH= 0.87[C]σ LLH= 1.00σ LLH= 0.86σ LLH= 1.13σ LLH= 1.016LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250Spectral Acceleration (0.3 s), (g)In[SA(0.3 s)] Actual− In[SA(0.3 s)] GMPE210.50.10.010.00150−58Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M6.2 Christchurch Eq.σ In[Y]= 0.63 [B] σ In[Y]= 0.68 σ In[Y]= 0.72 σ In[Y]= 0.80 σ In[Y]= 0.62σ = 1.03[C]σ = 1.00σ = 1.70σ = 2.29σ = 0.99LLH LLH LLH LLH LLH6LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250▲ ▲ Figure 3. A) Comparison of 5%-damped spectral acceleration values computed at 0.3 s for the M 7.1 Darfield (top panels) andM 6.2 Christchurch (bottom panels) earthquakes for 16th, 50th (median), and 84th percentile predictions from five different GMPEs.B) Residuals computed for each GMPE for median prediction; also shown is the trend line to quantify distance bias. C) Average-loglikelihood (LLH) values are to determine performance of GMPEs; higher LLH values indicate poorer performance.Seismological Research Letters Volume 82, Number 6 November/December 2011 869

Peak Ground Acceleration, (g)In[PGA] Actual− In[PGA] GMPE210.50.10.010.00150Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M7.1 Darfield Eq.σ = 0.52 In[Y][B] σ = 0.58 In[Y]σ = 0.52 In[Y]σ = 0.63 In[Y]σ = 0.52In[Y]−58σ LLH= 0.81[C]σ LLH= 0.97σ LLH= 0.75σ LLH= 1.14σ LLH= 0.916LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250Peak Ground Acceleration, (g)In[PGA] Actual− In[PGA] GMPE210.50.10.010.00150Graizer and Kalkan (2007, 2009)[A]Abrahamson and Silva (2008) Boore and Atkinson (2008) Campbell and Bozorgnia (2008) Chiou and Youngs (2008)M6.2 Christchurch Eq.σ In[Y]= 0.60 [B] σ In[Y]= 0.61 σ In[Y]= 0.63 σ In[Y]= 0.77 σ In[Y]= 0.53−58σ LLH= 1.12[C]σ LLH= 0.93σ LLH= 1.42σ LLH= 2.82σ LLH= 0.946LLH value4205 10 20 50 100 2505 10 20 50 100 2501 5 10 20 50 100 250Distance Measure (km)5 10 20 50 100 2505 10 20 50 100 250▲ ▲ Figure 2. A) Comparison of PGA values recorded from the M 7.1 Darfield (top panels) and M 6.2 Christchurch (bottom panels) earthquakesfor 16th, 50th (median), and 84th percentile predictions from five different GMPEs. B) Residuals computed for each GMPE formedian prediction; also shown is the trend line to quantify distance bias. C) Average-log likelihood (LLH) values are to determine performanceof GMPEs; higher LLH values indicate poorer performance.868 Seismological Research Letters Volume 82, Number 6 November/December 2011

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