Table 2
Properties of entropy and relative disorder index (DI)
| Variable name | Maximum possible value of marginal entropy | Description | Parameter determination method | References |
|---|---|---|---|---|
| Entropy |  | DI = (maximum possible entropy value under evenly apportioned state) – (actual entropy value obtained for the time series) | According to the shape of the distribution of probabilities pi | Shannon (1948), Kawachi et al. (2001) |
| Marginal entropy (ME) | log215 = 3.90 | Related DI: marginal disorder index | Mishra et al. (2009) | |
| Apportionment entropy (AE) | (log212) = 3.58 | Related DI: apportionment disorder index (AE) | Mishra et al. (2009) | |
| Decadal apportionment entropy (DAE) | (log210) = 3.32 | Related DI: decadal apportionment disorder index (DADI) | Mishra et al. (2009) | |
| Mean disorder index (MDI) | – | Spatial and temporal mean | Mishra et al. (2009) |
| Variable name | Maximum possible value of marginal entropy | Description | Parameter determination method | References |
|---|---|---|---|---|
| Entropy | | DI = (maximum possible entropy value under evenly apportioned state) – (actual entropy value obtained for the time series) | According to the shape of the distribution of probabilities pi | Shannon (1948), Kawachi et al. (2001) |
| Marginal entropy (ME) | log215 = 3.90 | Related DI: marginal disorder index | Mishra et al. (2009) | |
| Apportionment entropy (AE) | (log212) = 3.58 | Related DI: apportionment disorder index (AE) | Mishra et al. (2009) | |
| Decadal apportionment entropy (DAE) | (log210) = 3.32 | Related DI: decadal apportionment disorder index (DADI) | Mishra et al. (2009) | |
| Mean disorder index (MDI) | – | Spatial and temporal mean | Mishra et al. (2009) |