Generalized Information Entropy Theory of Complex Ecosystems and Its Applications
|Keywords||ecosystem evolution complex system maximum generalized information entropy principle (MGIEP) dynamics complexity science|
Ecosystem is a typical complex nonlinear system far from equilibrium. It is full of a large number of agents, whose complex interactions result in the formation of the ordered structure. These changes or origin of ordered structure represent the evolution of the ecosystem as a whole, having being a hard problem to scientists for hundreds of years. Qualitative theory of evolution is one of and the first its outstanding representative. In recent years, people are much trying to reveal the evolution of ecological systems from a scientific point. Inherent nature of its microscopic dynamics has also been deeply understood. Further studies have shown that ecosystems are different from the atomic concept of classical mechanics-oriented system, but rather a concept of energy dissipation and entropy-driven non-equilibrium thermodynamics and statistical mechanics systems. Over the past decades considerable progress has been achieved in this area, but on the current view, these available studies are only for the purposes of macro-phenomenon, using a macro sense, and the entropy is lack of deep micro-meaning. They thus can not reveal the internal micro-dynamics evolution of ecological systems. This paper proposes it is necessary to introduce the ideas of entropy into open complex ecosystems. Considering the disability of classical entropy for ecosystems and by defining a parameter of generalized information entropy, a new principle for evolution of ecosystems is accordingly suggested. Physical laws for the evolution dynamics of ecosystem are Maximum Generalized Information Entropy Principle (MGIEP), that is to say, everything always seeks an optimization process so that generalized information entropy of the whole ecosystem is maximal under given constraints, i.e., elements always try to expand themselves freest. Based on this principle it has educed the micro-dynamic equation of structural formation and evolution in ecosystem as well as the corresponding numerical simulation methods. The ecosystem evolution is further simulated by using the numerical simulation methods, by which succession of wetland ecosystems and landscape ecosystem fractal growth model are elaborated. It not only shows dynamics process of structure formation and quantitative results, but also theoretically and empirically obtains the dynamics mechanism of ecosystem ordered structure formation. The result helps us analyzing formation and dynamics of the ecosystem structure and providing implications for classifications, protection and optimization. It is our belief that the present results on the ordered structure formation in this paper can in turn promote the relevant progress of complexity science.