Adjustment versus meaning? Towards a quantic theory of ecological models

摘要

A classic way of modelling Complex Structural Systems (CSS), as the ecological ones, is based on the Dynamic of Systems. In previous studies, the authors hae presented a methodology to consturct flow equaitons from the experimetnal data throug htransformed functions of a variable, using a special software (REGRESSUS) based on sophisticated procedures of multiple regression. however, the obtaining of these equations of maximum adjustment, may cause problems with regard to the interpretation of the real phenomenon that it wants to describe. The authors put forard a proposal of uncertainty principle which enlarged the one of costanza, Sklar and Jorgensen resumed in "the modeller should choose between a good adjustment hwich implies the loss of real meaning of the equation and the real meaning that implies hte loss of the good adjustment". In this paper, the authors introduce a Theory of complex Structural Models (CSM) founded in semantics that attempts to explain said Uncertainty Principle. This hypothesis is based on the following estiamtes: 1) Each transformed function is a "lexeme/sememe". 2) The flow equation is a "complex sentence". 3) This sentence can firstly be defined by a pair of numbers (r,m) implied by R, 0<=r<=1,0<=m<=, where r represents the adjustment (coefficient of determination) and m the "emotional connotation of meaning" (semantics) of equation. 4) The meaning m can be calculated approxiamtely by statistical mehtods. 5) As a first approxiamtion a bidimensional graphic is proposedi n which r is the objective axis and the m is the subjective axis. 6) The Uncertainty Principle proposed has the mathematical expression DELTA centre dot DELTA m<=0.