An interactive system for modeling
Recently some authors have proposed to introduce a pattern recognition approach in the modeling process, especially for the study of populations of species, within a compartimental representation, in aquatic ecosystems and for the water pollution control.
In order to implement this approach on a computer, it is necessary to develop "interactive systems" which are composed by a special language for modeling, a collection of data management procedures and a collection of numerical procedures. These systems give the possibility of integrating the data base handling techniques with mathematical methods for constructing models in an interactive manner in order to take into account the analyst's appreciation and understanding of the determining features of the prototype system during the different stages of the modeling process.
In this paper, we describe the main characteristics of such an interactive system with graphical facilities designed for a minicomputer which includes different algorithms for integrating ordinary differential equations. These algorithms have been chosen after an analysis which was not only oriented to the selection of the most significant methods but also to the study of their feasibility within a procedure which gives local and global error estimations. Some "standardization" problems in the implementation of this system have been taken into account.
KeywordsInteractive System Numerical Procedure Lump Parameter Model Pattern Recognition Approach Global Error Estimation
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