Qian, S.S. 1997. An illustration of model structure identification. Journal of the American Water Resources Association 33(4):811-824.

Abstract: The purpose of this article is to discuss the importance of uncertainty analysis in water quality modeling, with an emphasis on the identification of the correct model specification. A wetland phosphorus retention model is used as an example to illustrate the procedure of using a filtering technique for model structure identification. Model structure identification is typically done through model parameter estimation. However, due to many sources of error in both model parameterization and observed variables and data, error-in-variable is often a problem. Therefore, it is not appropriate to use the least squares method for parameter estimation. Two alternative methods for parameter estimation are presented. The first method is the maximum likelihood estimator, which assumes independence of the observed response variable values. In anticipating the possible violation of the independence assumption, a second method, which coupled a maximum likelihood estimator and Kalman filter model, was presented as a preliminary method for judging whether the model structure is appropriate or not.

Key terms: Everglades; Kalman filter; maximum likelihood estimator; modeling/statistics; phosphorus; uncertainty analysis; water quality; wetlands.

1997 American Water Resources Association. Reproduced by permission

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