Table 4 Table of symbols and notations.
From: Unravelling water sustainability: a decentralised, data-driven model for water governance
Symbol | Definition |
|---|---|
n | Total number of households |
m | Total number of indicators |
F | Binary risk matrix of dimension n × m |
fij | Binary value: 1 if indicator j exceeds threshold in household i; otherwise 0 |
Ri | Household-level risk score (sum of indicators exceeding threshold for household i) |
Ck | Community k |
nk | Number of households in community k |
Sk | Community-level risk score / percentage threshold exceedance |
Xi | Normalized value of indicator for WPI component i |
wi | Weight of WPI component i (equal weight = 1/5) |
WPI | Water Poverty Index (0–1 scale) |
Vi | Observed value of parameter i (WQI) |
Si | Standard permissible limit for parameter i (BIS/WHO) |
V₀ | Ideal value of parameter i |
Qi | Quality rating of parameter i in WQI |
Wi | Relative weight assigned to parameter i in WQI |
k | Proportional constant in WQI weighting |
I_g | Set of indicators in group g (for composite scoring) |
Sig | Composite score of household i in domain/group g |
xij | Raw value of indicator j for household i |
pij | Normalized probability value of xiⱼ for entropy |
ej | Entropy value of indicator j |
dj | Degree of diversification (1 - eⱼ)* |
wj | Normalized entropy weight of indicator j |
PC₁–PC₅ | Principal components derived from PCA |
Lj | Loading of indicator j on a principal component |
