Erratum for “Procedure for Estimating Shear-Induced Seismic Slope Displacement for Shallow Crustal Earthquakes” by Jonathan D. Bray and Jorge Macedo

The authors would like to correct values of the some of the coefficients and values presented in the original paper. These corrections are as follows:

Accordingly, Eq. (5) for estimating $D100$ for near-fault pulse ground motions is revised to bewhere $\epsilon$ = normally distributed random variable with zero mean and standard deviation $\sigma =0.56$. The coefficient of $M_w$ should be 0.01. When $60\mathrm{cm}/\mathrm{s}<PGV\le 150\mathrm{cm}/\mathrm{s}$, $c1=-6.951$, $c2=1.069$, $c3=-0.498$, and $c4=1.547$ if $T_s\ge 0.10\mathrm{s}$, and $c1=-6.724$, $c2=-2.744$, $c3=0.0$, and $c4=1.547$ if $T_s<0.10\mathrm{s}$. When $PGV>150\mathrm{cm}/\mathrm{s}$, $c1=1.764$, $c2=1.069$, $c3=-0.498$, and $c4=-0.097$ if $T_s\ge 0.10\mathrm{s}$, and $c1=1.991$, $c2=-2.744$, $c3=0.0$, and $c4=-0.097$ if $T_s<0.10\mathrm{s}$.

Eq. (7) for estimating $D50$ for near-fault pulse ground motions is revised to bewhere $\epsilon$ = normally distributed random variable with zero mean and standard deviation $\sigma =0.54$. When $60\mathrm{cm}/\mathrm{s}<PGV\le 150\mathrm{cm}/\mathrm{s}$, $c1=-7.718$, $c2=1.031$, $c3=-0.480$, and $c4=1.458$ if $T_s\ge 0.10\mathrm{s}$, and $c1=-7.497$, $c2=-2.731$, $c3=0.0$, and $c4=1.458$ if $T_s<0.10\mathrm{s}$. If $PGV>150\mathrm{cm}/\mathrm{s}$, $c1=-0.369$, $c2=1.031$, $c3=-0.480$, and $c4=0.025$ if $T_s\ge 0.10\mathrm{s}$, and $c1=-0.148$, $c2=-2.731$, $c3=0.0$, and $c4=0.025$ if $T_s<0.10\mathrm{s}$.

The results calculated with the procedure in the original paper do not change appreciably when the correct coefficients are used. The original procedure with corrected coefficients is provided in the form of a spreadsheet for use in engineering practice (Bray and Macedo 2020).