Differential Dynamic Programming for Estuarine Management
Publication: Journal of Water Resources Planning and Management
Volume 121, Issue 6
Abstract
A differential dynamic programming (DDP) procedure is applied to solve both linear and nonlinear estuarine-management problems to determine the optimal amount of freshwater inflows into bays and estuaries to maximize fishery harvests. Fishery harvests are expressed in regression equations as functions of freshwater inflows. The optimization problem is posed as a discrete-time optimal control problem in which salinity represents the state variable and freshwater inflow represents the control variable. Both linear and nonlinear regression equations that relate salinity to freshwater inflow are used as the transition equations. The bound constraints for the control and state variables are incorporated into the objective function using a penalty-function method to convert the problem into an unconstrained formulation. To guarantee the quadratic convergence of the DDP procedure, a constant-shift and an adaptive-shift method are used. The DDP procedure is applied to the Lavaca-Tres Palacios estuary in Texas and the results are compared with a nonlinear programming solver. This work demonstrates the potential of DDP for developing a more complex model that uses a two-dimensional hydrodynamic-salinity transport model for the transition.
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Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 121 • Issue 6 • November 1995
Pages: 455 - 462
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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