Transactions of the ASAE
Sustained-yield groundwater management strategies can be designed to closely maintain preassigned 'target' levels. Quadratic and linear goal-programming objective functions are used in two distinct models which minimize the sum of differences between 'target' and regionally optimized sets of groundwater levels. Constraints and bounds imposed on extractions, recharge and heads in each model assure that developed strategies are physically feasible and sustainable. The linear model is computationally more time-efficient, but numerical difficulties due to equality constraints are encountered when it is applied to large groundwater systems_ The quadratic model requires less computer storage and is applied to the Grand Prairie of Arkansas as an example.
Yazdanian, A. and R.C. Peralta. 1986. Maintaining target groundwater levels using goal‑programming: linear and quadratic methods. Transactions of the ASAE. 29(4): 995‑1004.