| Abstract: | Literature about models and modelling is very extensive, but the linguistic aspect of ecological models is not so popular. In this paper, the authors develop a linguistic theory of ecological models from the mathematical linguistic theory and its semantic background. From the equivalence relationship defined upon the language L(M), which describes an ecological model in mathematical terms, it will be possible to statistically determine the semantic component associated to each sentence. The authors also propose an uncertainty principle for the equations (called flow equations) that are used to model ecological processes. The following hypothesis will be considered: a) The first-order vocabulary associated to a variable, a transformed function, is a sememe; b) The flow equation is a complex sentence; c) There is a synonymy relationship among sentences that describe the same process; d) The synonymy relationship forms classes of equivalence. The following results will be reported: a) The cardinal of each class of equivalence is a dimension of the process complexity; b) Each sentence can be defined through a pair of numbers (r,m)ER, 0 < =r < =1, 0 < =m < =1, where r defines the coefficient of determination and m the emotional component of meaning (semantics) of the equation; c) The meaning m can be calculated approximately by statistical methods; d) An uncertainty principle (Delta r . Delta m < =0) and a semantic complementarity principle are proposed. |
