Developing a lake eutrophication model and determining biogeochemical parameters: a large scale parameter estimation problem.

ESTRADA, V.; PARODI, E.R; DÍAZ, M.S.

Computer-Aided Chemical Engineering, 25

Elsevier

Año: 2008; p. 1113 - 1118

Abstract This work addresses the dynamic parameter estimation problem for an eutrophication model, which is formulated within simultaneous approach. Ecological processes are modeled through a set of complex nonlinear differential algebraic equations, with rate coefficients that must be estimated. Gradients of state variables are considered along the water column, rendering a partial differential equation problem, which is transformed into a differential algebraic (DAE) one by spatial discretization in several water layers. Within a simultaneous approach, the DAE constrained optimization problem is transformed into a large-scale nonlinear programming problem. Main biochemical and chemical parameters have been obtained, which allow a close representation of the lake dynamics.   Keywords: Parameter estimation, eutrophication model, phytoplankton, nutrients.