Modeling of ecosystem dynamics: nonlinearity and synergetics

Abstract

Mathematical modeling and computational experiment of the soil-plant systems (SPS) ecology are forming the basis of analysis and prediction scientific paradigm of more complex ecosystems. The dynamics of processes occurring in open biological systems and phenomena occurring in inorganic environments are comparing in this research. The behavior of systems of biotic and abiotic origin has bifurcation points associated with the nonlinear nature of interaction between the external environment and the elements inside, predetermining the synergy of evolution. During the studying SPS using the example of the Black Lands of the Republic of Kalmykia, a mathematical model of multichannel transitions between elements was developed using the Markov process mechanism. The dynamics of the SPS ecotope destruction and recovery was studied in the approximation of homogeneous Markov chains. Stationary final distributions of the comparison of classes derived from matrices with high degrees revealed bifurcation points, the nonlinearity of the succession process. Mathematical modeling gave the lifetime of an intermediate states stable existence. As a result, the methodology for assessing the ecological status of arid ecosystems using Markov chains has been proposed. The analogy with inorganic systems allowed detailing the process of the origin of bifurcation points. Comparison of the dynamics of open systems «living» and «inanimate» nature has led to their synergistic unity. Nonlinear processes in inorganic environment are qualitatively similar to the dynamics of macroscopic systems in ecology.