## 3 Damage Indexes Effectiveness
### MSA Results
They show no overlap O1 and O2 and a low dispersion, ranging from 0% to 15% for existing and MRF buildings and up to 40% for LS in the shear wall configuration. On the other hand, their efficiency decreases for CP and GC due to overlaps of more than 95% and higher dispersion values of 10% to 40%, reflecting the trends observed for other indexes. Conversely, the FDR Banon index performs well for UPD as it has no overlap and very low dispersion. However, its efficiency decreases for LS, where the overlap O2 is between 5% and 20% with increasing dispersion. For CP and GC, the FDR index mirrors the trend of the other indexes, with lower efficiency due to significant overlap O3 and higher dispersion. Therefore, to improve the damage index performance, it is suggested to consider just an ultimate performance level, condensing CP and GC. \begin{table}
\begin{tabular}{l c c c c c c c c c c c c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{12}{c}{**EX,MRE BF**} & \multicolumn{12}{c}{**EX,MRE FF**} & \multicolumn{12}{c}{**CV,MRE BF**} & \multicolumn{12}{c}{**CC,MRE FF**} & \multicolumn{12}{c}{**CC,MRE FF**} & \multicolumn{12}{c}{**CV,MRE BF**} & \multicolumn{12}{c}{**CV,MRE FF**} \\ \cline{2-13}
**Index** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** & **UPD** & **LS** & **CP** & **GC** \\  & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** & **[**\%**]** \\ \hline L-5 & 4.2 & 9.0 & 6.9 & 7.0 & 27.6 & 71.0 & 8.4 & 5.4 & 0.0 & 23.4 & 12.5 & 12.6 & 23.4 & 41.8 & 37.0 & 44.9 & 9.9 & 12.8 & 5.7 & 5.1 & 5.8 & 29.5 & 8.8 & 9.2 \\ \hline FDR & 20.6 & 4.4 & 7.3 & 7.3 & 6.4 & 75.3 & 19.3 & 12.5 & 0.0 & 14.0 & 24.4 & 23.4 & 19.2 & 32.9 & 56.9 & 62.7 & 6.6 & 36.1 & 20.7 & 18.3 & 21.9 & 52.5 & 44.0 & 44.5 \\ \hline B-V & 0.9 & 14.4 & 11.3 & 9.6 & 12.3 & 68.4 & 2.0 & 1.3 & 1.0 & 0.7 & 7.2 & 40.7 & 32.8 & 1.5 & 23.7 & 91.2 & 94.4 & 0.2 & 40.4 & 40.3 & 37.9 & 1.5 & 56.9 & 71.4 & 71.8 \\ \hline P-A & 0.0 & 25.1 & 43.0 & 44.8 & 13.2 & 73.3 & 14.1 & 9.1 & 0.0 & 47.6 & 62.1 & 81.9 & 1.4 & 18.1 & 93.2 & 95.1 & 0.3 & 24.1 & 49.0 & 45.8 & 7.3 & 60.2 & 75.8 & 75.8 \\ \hline W-S-1 & 1.9 & 11.0 & 20.4 & 17.1 & 3.9 & 125 & 48.0 & 31.0 & 0.0 & 7.4 & 23.9 & 20.7 & 21.0 & 27.3 & 63.9 & 68.6 & 1.4 & 39.3 & 28.2 & 25.2 & 84.0 & 55.5 & 50.1 & 50.7 \\ \hline P-A1 & 1.7 & 13.3 & 8.7 & 7.4 & 6.4 & 75.3 & 19.3 & 12.5 & 0.0 & 11.7 & 30.3 & 23.8 & 4.8 & 33.2 & 78.7 & 85.0 & 1.0 & 40.1 & 28.4 & 25.1 & 8.0 & 57.4 & 51.1 & 51.7 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Overview of the dispersion (D) of all damage indexes for each limit state for all the building configurations. \begin{table}
\begin{tabular}{l c c c c c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{12}{c}{**OVERAP (O)**} \\ \cline{2-13}
**Index** & \multicolumn{12}{c}{**EX,MRE FF**} & \multicolumn{12}{c}{**CC,MRE FF**} & \multicolumn{12}{c}{**CC,MRE FF**} & \multicolumn{12}{c}{**CV,MRE FF**} & \multicolumn{12}{c}{**CV,MRE FF**} & \multicolumn{12}{c}{**CV,MRE FF**} \\ \cline{2-13}
**Index** & **UPD** & **LS** & **CP** & **CC** & **UPD** & **LS** & **CP** & **UPD** & **LS** & **CP** & **UPD** & **LS** & **CP** & **UPD** & **LS** & **CP** & **UPD** & **LS** & **CP** & **UPD** & **LS** & **CP** \\  &In the case of infilled configurations, the FDR and W-S-1 indexes show a high efficiency in distinguishing damage related to UPD and LS for all building types. These indexes show no overlap O1 and a low to medium dispersion between 5% and 20%.