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chapter2.aux
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\relax
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\newlabel{fig:vs30-6}{{2.6}{40}{Representative $V_S$ profiles for (a) type A sites and (b) type B sites from CVM-S. The thick black curves depict the averaged velocity profiles for all 220 type A and 39 type B sites directly extracted from CVM-S. The thin lines show the $V_S$ profiles resulting from our proposed method for different $z_T$ depths between 200 m and 1500 m. The dashed curve shows the $V_S$ profile calculated using the \Cref {eq:vs30-2} tapers from our preferred $z_T$ of 1000 m (note that because the tapers are applied as upper bounds to $V_S$, they typically only affect the type A $V_S$ structure at depths exceeding 350m, where the GTL in CVM-S ceases and causes the abrupt discontinuity).\relax }{figure.caption.22}{}}
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\newlabel{fig:vs30-10}{{2.10}{44}{Maps of interpolated log10-based FAS bias between four 3D models and data: (a) CVM-S, and CVM-S with tapering depth of (b) 350 m, (c) 700 m and (d) 1000 m, calculated from the synthetics and records at 259 stations. The warm (cool) colors represent overprediction (underprediction). The circles (triangles) depict type A (B) sites. Note the log10-based colorbar.\relax }{figure.caption.26}{}}
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\newlabel{fig:vs30-12}{{2.12}{46}{Cumulative kinetic energy and Fourier velocity spectra at six type B sites. The subtitles show the names of the sites and their hypocentral distance. \relax }{figure.caption.28}{}}
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\newlabel{fig:vs30-14}{{2.14}{48}{(a) $V_S$ profile sample locations in California. Circles denote type A sites and triangles denote type B sites, and (b) extracted $V_S$ profiles. The top panel zooms into the top 500 m. \relax }{figure.caption.30}{}}
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\newlabel{fig:vs30-A2}{{A2.1}{49}{Bias of FAS of the (a) east-west, (b) north-south and (c) vertical component, calculated from 3D simulations in CVM-S with $V_S$ tapering depths of 350 m and 1000 m along with attenuation models $Q_S=0.05V_S$, $Q_S=0.1V_S$, and $Q_S=0.15V_S$. A positive (negative) value means overprediction (underprediction). The left (right) columns show type A (B) sites. The solid line is the median of FAS, where the narrow band is the 95\% confidence interval of the median, and the dashed lines depict the standard deviation centered at the median.\relax }{figure.caption.32}{}}
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\newlabel{fig:vs30-A3}{{A2.2}{50}{Averaged FAS bias for frequencies between 0.15-1 Hz at poorly constrained sites plotted as a function of site surface $V_S$ for (a) three-component average, (b) east-west, (c) north-south and (d) vertical components. The shades represent 95\% confidence intervals estimated using bootstrap.\relax }{figure.caption.33}{}}
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