Optimal Allocations of Maximum Allowable Load among Influent Rivers: An Application for Strategic Management of Lake Water Quality

概要

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Lake water quality management is an extremely complicated problem due to a variety of land use and existence of multiple stakeholders in the watershed. A decision support tool is thus necessary for examining physical, economical and social constraints associated with the management and for coordinating conflicting goals of the stakeholders. In this study, a multiobjective linear programming model is developed for supporting strategic management of lake water quality. Optimal allocation of river-genetic pollutant load is determined to maximize total allowable load into the lake with in-lake water quality standard. The shallow water equations and two-dimensional COD (chemical oxygen demand) transport equation are employed as basic equations to represent physical constraints on COD concentration. In order to consider an economical requirement on equity, the model proactively controls the difference in share of the total allowable load among influent rivers. An optimization example demonstrates that the methodology developed can produce several noninferior solutions (i.e., load allocations) useful for decision-making in lake water quality management.
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