Closure to: The optimal allocation of water withdrawals in a river basin

An increasing number of states use permit programs to coordinate and to control water resource allocations. A general approach is suggested for allocating and permitting water withdrawals in a river basin. A mathematical programming methodology facilitates optimal streamflow allocation while maintaining desired levels of instream flow. The approach uses a graphical tool, the flow duration curve, to illustrate the quantity and frequency of joint streamflow withdrawals in a river basin. The methodology is unique because while it uses mathematical programming methods, it is implemented using a spreadsheet optimization tool, Microsoft Excel Solver, and the solution is illustrated in a graphical form so that nontechnical individuals can easily understand the methodology results. The ability to apply the methodology and clearly explain the results is extremely important since many nontechnical individuals are involved as policymakers in water allocation decisions.

[1]  H. Loáiciga On the use of change constraints in reservoir design and operation modeling , 1988 .

[2]  A. Charnes,et al.  Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil , 1958 .

[3]  RESERVOIR RELEASES TO USES WITH DIFFERENT RELIABILITY REQUIREMENTS1 , 1989 .

[4]  Richard M. Vogel,et al.  Closure of "Regional Flow-Duration Curves for Ungauged Sites in Massachusetts" , 1990 .

[5]  Jay R. Lund,et al.  Optimization of Transfers in Urban Water Supply Planning , 1995 .

[6]  Alan S. Manne,et al.  Product-Mix Alternatives: Flood Control, Electric Power, and Irrigation , 1962 .

[7]  Dennis R. Schurmeier,et al.  Innovative Approaches to Water Allocation: The Potential for Water Markets , 1986 .

[8]  J. Tisdell,et al.  Estimating an optimal distribution of water entitlements , 1992 .

[9]  Richard M. Vogel,et al.  Flow‐Duration Curves. I: New Interpretation and Confidence Intervals , 1994 .

[10]  Nathan Buras AN APPLICATION OF MATHEMATICAL PROGRAMMING IN PLANNING SURFACE WATER STORAGE , 1985 .

[11]  J. Wayland Eheart,et al.  Alternative structures for water rights markets , 1983 .

[12]  Richard M. Vogel,et al.  Flow duration curves II : a review of applications in water resources planning , 1995 .

[13]  L. Mays,et al.  Hydrosystems engineering and management , 1991 .

[14]  Peter Rogers,et al.  Use of systems analysis in water management , 1986 .

[15]  James W. Male,et al.  Model for Prescribing Ground‐Water Use Permits , 1992 .

[16]  William W.-G. Yeh,et al.  Reservoir Management and Operations Models: A State‐of‐the‐Art Review , 1985 .

[17]  R. Noss,et al.  Flow variable discharge permits , 1987 .

[18]  J. Stedinger,et al.  Water resource systems planning and analysis , 1981 .

[19]  James W. Male,et al.  A management model for specification of groundwater withdrawal permits , 1993 .

[20]  TRANSFERABLE WATER ENTITLEMENTS WHICH SATISFY HETEROGENEOUS RISK PREFERENCES , 1991 .