Articles | Volume 14, issue 2
Hydrol. Earth Syst. Sci., 14, 325–338, 2010
https://doi.org/10.5194/hess-14-325-2010
Hydrol. Earth Syst. Sci., 14, 325–338, 2010
https://doi.org/10.5194/hess-14-325-2010

  18 Feb 2010

18 Feb 2010

Global spatial optimization with hydrological systems simulation: application to land-use allocation and peak runoff minimization

I.-Y. Yeo1 and J.-M. Guldmann2 I.-Y. Yeo and J.-M. Guldmann
  • 1Department of Geography, The University of Maryland, College Park, Maryland, USA
  • 2Department of City and Regional Planning, The Ohio State University, Columbus, Ohio, USA

Abstract. A general methodology is presented to integrate complex simulation models of hydrological systems into optimization models, as an alternative to scenario-based approaches. A gradient-based hill climbing algorithm is proposed to reach locally optimal solutions from distinct starting points. The gradient of the objective function is estimated numerically with the simulation model. A statistical procedure based on the Weibull distribution is used to build a confidence interval for the global optimum. The methodology is illustrated by an application to a small watershed in Ohio, where the decision variables are related to land-use allocations and the objective is to minimize peak runoff. The results suggest that this specific runoff function is convex in terms of the land-use variables, and that the global optimum has been reached. Modeling extensions and areas for further research are discussed.

Download