Abstract
The question of how to fit a general cubic model of a multicomponent, interactive growth system to observed data is addressed. A multidimensional-polynomial type of regression analysis is used, with a least-squares criterion. By testing the scheme on a problem with known solution, the way in which the accuracy of the results varies with the number of datum points used is investigated in an heuristic manner.
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Literature
Chambers, J. M. 1973. “Fitting Nonlinear Models: Numerical Techniques”,Biometrika,60, 1–13.
Huddleston, J. V., C. G. DeWald and H. N. Jagadeesh. 1974. “A Dynamic Model of an Environmental System withn Interacting Components andp Degrees of Freedom”,Bull. Math. Biol.,36, 91–96.
—. 1974. “Optimality in the Control of Environmental Systems,”,36, 341–345.
Volterra, V., 1931.Lecons sur la Théorie de la Lutte pour la Vie. Paris: Gauthier-Villars.
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Huddleston, J.V. The fitting of dynamic models to observed data. Bltn Mathcal Biology 38, 445–452 (1976). https://doi.org/10.1007/BF02462218
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DOI: https://doi.org/10.1007/BF02462218