Developing A Lake Eutrophication Model AndDetermining Biogeochemical Parameters: A LargeScale Parameter Estimation Problem

摘要

This work addresses the dynamic parameter estimation problem for an eutrophicationmodel, which is formulated within a simultaneous approach. Ecological processes aremodeled through a set of complex nonlinear differential algebraic equations, with ratecoefficients that must be estimated. Gradients of state variables are considered along thewater column, rendering a partial differential equation problem, which is transformedinto a differential algebraic (DAE) one by spatial discretization in several water layers.Within a simultaneous approach, the DAE constrained optimization problem istransformed into a large-scale nonlinear programming problem. Main biochemical andchemical parameters have been obtained, which allow a close representation of the lakedynamics.