SIMPLEX : a manual and software package for easy nonlinear parameter estimation and interpretation in fishery research / by Anthony Mittertreiner and Jon Schnute. : Fs97-6/1384E-PDF

"This manual describes a method for (1) fitting models in which parameters enter nonlinearly and (2) interpreting the results of the analysis to assess model validity. The manual also documents the software package SIMPLEX, a tool which easily allows the user to obtain optimal parameter estimates, produce various plots of model predictions and likelihoods, and calculate parameter covariances. SIMPLEX is particularly convenient to use when the objective function (i.e., criterion of model fit) can be expressed as a sum of similar terms, as is the case, for example, with a least squares fit. More generally, SIMPLEX can also be adapted to applications in which the objective function is analytically more complex. Typically, the user need provide only a brief section of FORTRAN code to describe the desired model; once this is done, all SIMPLEX features are immediately available for model fitting and interpretation. The manual not only documents the SIMPLEX software, but also presents the complete theory underlying its development and use. This includes descriptions of (1) the simplex search method of function minimization, (2) the utility of various plots in assessing model fit, and (3) the numerical calculation of parameter covariances, standard deviations, and correlations. Suggestions are provided for operating the search algorithm efficiently and applying it in non-standard situations"--Abstract, page viii.

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