MATHEMATICAL-MODELS AND UNDERSTANDING IN ECOLOGY

Of all possible mathematical models; only ''conceptual'' models, i.e., models- which are understandable, manageable, and capable of being fully explored, can be of help in attaining an understanding of ecological systems and processes. However, the hitherto promulgated ''philosophy'' of conceptual mathematical modelling was not in a position to convince empiricists of the possibilities afforded by mathematical models on the one hand, and on the other to prevent theorists from becoming so engrossed in their theories as to neglect the testability of their hypotheses. The goal of this paper is to reveal the shortcomings of this ''philosophy'' of mathematical modelling and to outline a more promising strategy for creating models. It recommends choosing ''patterns'' actually existing in ecological systems, rather than questions of a general nature, as a point of departure for conceptual models. In this way, the advantages of conceptual models can be utilized without having to relinquish the testability of the hypotheses proposed with the aid of the models.