Nonlinear Parameter Estimation in Water Quality Modeling

by J. S. Shastry, Grad. Student of Chem. Engrg.; Kansas State Univ., Manhattan, KS,
L. T. Fan, Prof. and Head of Chem. Engrg.; Kansas State Univ., Manhattan, KS,
L. E. Erickson, Prof. of Chem. Engrg.; Kansas State Univ., Manhattan, KS,

Serial Information: Journal of the Environmental Engineering Division, 1973, Vol. 99, Issue 3, Pg. 315-331

Document Type: Journal Paper

Discussion: Berthouex Paul M. (See full record)


The quality of water in streams, lakes and estuaries is generally measured in terms of the dissolved oxygen concentration and biochemical oxygen demand. Mathematical models for describing the behavior of BOD and DO are briefly reviewed in this paper. Three specific models are examined and parameters in these models are estimated using a nonlinear parameter estimation technique. Statistical analysis is carried out on the results obtained by calculating the residuals and F ratios for equality of variances. The results show that a model with a nonlinear decay term for BOD fits the data better than does the frequently used model with a linear decay term.

Subject Headings: Water quality | Parameters (statistics) | Hydrologic models | Mathematical models | Data processing | Dissolved oxygen | Decomposition | Oxygen demand | Water demand

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