Abstract
This chapter is about mathematical models — formulae capable in some degree of describing natural events, usually by oversimplification. In particular, it is concerned with the process whereby collected data are approximated by some explicit mathematical function. We are of the opinion that there are two common attitudes towards this process. The more primitive is to consider the model simply as a means of fitting a line, a plane, or a hyperplane through a swarm of points to some optimum degree of closeness, commonly by minimizing the sum of squared deviations from the fitted function. The second, more sophisticated approach is to attempt to develop a function derived from some theory concerning the underlying natural processes which generated the data. The two approaches are not exclusive, for the second always leads to something like the first. But the first does not necessarily lead to the second, nor is there inherent in the first approach any guarantee of an improved understanding of natural phenomena.
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Jowett, D., Browning, J.A., Haning, B.C. (1974). Non-linear Disease Progress Curves. In: Kranz, J. (eds) Epidemics of Plant Diseases. Ecological Studies, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96220-2_6
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DOI: https://doi.org/10.1007/978-3-642-96220-2_6
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