Abstract
Levee setback (location) and height are important issues in flood levee system design or modification. This paper derives an economic-engineering theory of the optimal trade-off of levee setback for height for both original and re-designed flood levees, demonstrating the interconnection of levee setback, height, costs and risks, and economically optimal decisions. All the analyses assume that hydrologic and economic conditions are “static”. Expected total flood control costs are shown to be convex for conditions of wide channels where flood flows have a lognormal frequency distribution. The re-design rules derived in this paper hold for much wider conditions. Numerical examples illustrate the results. This paper demonstrates several ideas and theory for economic flood levee system planning and policy rather than providing guidelines for direct design practice.
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