The resulting weights are based on the principal Eigenvector of the decision matrix
| . | T . | V . | SPI . | Q . | MHI . | Slope . | Lithology . | TWI . |
|---|---|---|---|---|---|---|---|---|
| T | 1 | 1 | 3 | 4 | 5 | 8 | 7 | 9 |
| V | 1 | 1 | 2 | 3 | 4 | 7 | 8 | 9 |
| SPI | 0.33 | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 |
| Q | 0.25 | 0.33 | 0.5 | 1 | 2 | 3 | 2 | 4 |
| MHI | 0.20 | 0.25 | 0.33 | 0.5 | 1 | 2 | 3 | 4 |
| Slope | 0.12 | 0.14 | 0.25 | 0.33 | 0.5 | 1 | 0.5 | 3 |
| Lithology | 0.14 | 0.12 | 0.20 | 0.5 | 0.33 | 2 | 1 | 2 |
| TWI | 0.11 | 0.11 | 0.17 | 0.25 | 0.25 | 0.33 | 0.5 | 1 |
| Sum | 3.15 | 3.45 | 7.45 | 11.58 | 16.08 | 27.33 | 27 | 38 |
| Rank | 0.309 | 0.271 | 0.155 | 0.092 | 0.071 | 0.041 | 0.037 | 0.023 |
| . | T . | V . | SPI . | Q . | MHI . | Slope . | Lithology . | TWI . |
|---|---|---|---|---|---|---|---|---|
| T | 1 | 1 | 3 | 4 | 5 | 8 | 7 | 9 |
| V | 1 | 1 | 2 | 3 | 4 | 7 | 8 | 9 |
| SPI | 0.33 | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 |
| Q | 0.25 | 0.33 | 0.5 | 1 | 2 | 3 | 2 | 4 |
| MHI | 0.20 | 0.25 | 0.33 | 0.5 | 1 | 2 | 3 | 4 |
| Slope | 0.12 | 0.14 | 0.25 | 0.33 | 0.5 | 1 | 0.5 | 3 |
| Lithology | 0.14 | 0.12 | 0.20 | 0.5 | 0.33 | 2 | 1 | 2 |
| TWI | 0.11 | 0.11 | 0.17 | 0.25 | 0.25 | 0.33 | 0.5 | 1 |
| Sum | 3.15 | 3.45 | 7.45 | 11.58 | 16.08 | 27.33 | 27 | 38 |
| Rank | 0.309 | 0.271 | 0.155 | 0.092 | 0.071 | 0.041 | 0.037 | 0.023 |
Number of comparisons = 28, consistency index = 0.027, maximum Eigen value = 8.269, Eigenvector solution: 4 iterations, delta = 3.5 × 10−8.
Note:T is flow time, V is runoff velocity, SPI is stream power index, Q is runoff depth, MHI is morphometric hazard index, and TWI is topographic wetness index.