Self-Organized Criticality in the Model of Biological Evolution Describing Interaction of "Coenophilous" and " Coenophobous" Species

TL;DR

This paper modifies Bak and Sneppen's biological evolution model by incorporating a formal scheme of biosphere evolution, highlighting differences between coenophilous and coenophobous species, and demonstrates self-organized criticality through numerical experiments.

Contribution

It introduces a new model of biological evolution that accounts for species interactions and environmental responses, extending previous models with a formalized biosphere scheme.

Findings

The model exhibits avalanche-like processes.

The model demonstrates punctuated equilibrium.

Numerical experiments confirm self-organized criticality.

Abstract

The modification of the model of P.Bak and K.Sneppen of the self-organized biological evolution is proposed on the basis of a formalization of the scheme of the biosphere evolution suggested by O.V.Kovalev. This scheme is regarded as one approximating the realistic model of the ecosystem evolution. The fundamental difference between "coenophilous" species and "coenophobous" ones in respect to their reaction on the external environment is represented. The dynamics of the modified model as well as that of the model of P.Bak and K. Sneppen possesses the most important features of selforganized criticality: the avalanche-like processes and the punctuated equilibrium. The results obtained by using the numerical experiment for the study of these phenomena are presented.