Mathematical modelling applied to ecosystems: The Gödel's theorem

Abstract

In the framework of evolutionary physics, we must deal with goal functions instead of state functions: ecodynamic models must be based on relations evolving in time; far-from-equilibrium thermodynamics (Prigogine) is the foundation for a new description of nature. But if energy and mass are intrinsically conservative and entropy is intrinsically evolutionary, how can entropy be calculated on the basis of energy and mass quantities (entropy paradox)? This question is still unanswered and all we can do is note that the ecodynamic viewpoint is different from that of classical physics and classical ecology. This paper is an attempt to deal with these concepts.