Water Allocation Plan to Meet Multi-regional Relevance Needs

Abstract

With the rapid development of the economy and society, water resources are becoming scarcer and may lead to conflicts. Regional demand linkages have an impact on water allocation. This paper proposes a dynamic programming model, introducing power coefficients to verify the stability of the decision-making scheme, and considering the relevance of regional demand in the process of water resources allocation. Through numerical analysis, it is proved that the model provides a practical water allocation plan for the river basin management department.

Appendix

The following symbols are used in this paper:

C.V = coefficient of variation of $\beta _{i}(t)$

$\delta (t)$ = standard deviation of the power coefficient $\beta _{i}(t)$

$\bar{\beta (t)}$ = mean of the power coefficient $\beta _{i}(t)$

$\beta _{i}(t)$ = Coefficient of rights for region i at stage t

$\omega _i(t)$ = external parameter indicating each subarea’s power based on its economic, social, and demographic status.

$q_i(t)$ = the amount of water supplied to the i subarea in the t-stage basin

S(t) = the amount of water in the t-stage basin

$S(t+1)$ = the amount of water in the $t+1$-stage basin

$S_0$ = initial water volume at the beginning of each year

WS(t) = other sources of water in the t-stage basin

$D_i(t)$ = water demand in zone i during t phase (random variable)

$\alpha _i$ = water supply rate demand in zone i

$\alpha _i(t)$ = water supply rate demand at time t in zone i

$E^{min}$ = watershed ecological water demand

$\beta _{i}^{loss}$ = loss rate in the process of water supply and transportation to the i district.