Table 8 Estimated loss ratios and cost-claim ratios of restoration strategies for multi-damage states
From: Integrated method for fragility assessment of railway embankments under rainfall-induced landslides
Restoration objective | Ratios | ||||||
|---|---|---|---|---|---|---|---|
Vulnerability assessment | Loss ratio | \( \frac{{v_{{11}} + v_{2} }}{{v_{6} }} \) | 0.11 | \(\frac{{v_{12} + v_{2} }}{{v_{6} }}\) | 0.33 | \(\frac{{v_{13} + v_{2} }}{{v_{6} }}\) | 0.92 |
Short-term maintenance (temporary correction) | Cost-claim ratio | \(\frac{{v_{11} }}{{v_{6} }}\) | 0.07 | \(\frac{{v_{12} }}{{v_{6} }}\) | 0.28 | \(\frac{{v_{13} }}{{v_{6} }}\) | 0.88 |
Low maintenance (less investment) | \(\frac{{v_{11} + v_{2} }}{{v_{6} }}\) | 0.11 | \(\frac{{v_{12} + v_{3} }}{{v_{6} }}\) | 0.35 | \(\frac{{v_{13} + v_{3} }}{{v_{6} }}\) | 0.95 | |
Long-term maintenance (retrofitting for hazards) | \(\frac{{v_{11} + v_{2} }}{{v_{6} }}\) | 0.11 | \(\frac{{v_{12} + v_{4} }}{{v_{6} }}\) | 0.40 | \(\frac{{v_{13} + v_{4} }}{{v_{6} }}\) | 0.99 | |
High maintenance (high investment) | \(\frac{{v_{11} + v_{4} }}{{v_{6} }}\) | 0.18 | \(\frac{{v_{12} + v_{4} }}{{v_{6} }}\) | 0.40 | \(\frac{{v_{13} + v_{5} }}{{v_{6} }}\) | 1.00 | |