Analytical Trophodynamics Applied to Modeling Forest Dynamics with Carbon Cycling

Abstract

Models based on analytical trophodynamics (AT) method have provided an analytical framework for modeling in ecology, including the dynamical flux of nutrients present in the soil for a fixed region. Dynamics occurring concurrently in different time scales are modeled. Through a mathematical treatment of the elements of both biotic and abiotic factors, is established  stability and conservation laws for growing trajectories, whose solutions of the second-order differential systems equations known as Volterra–Hamilton systems. All solutions trajectories obtained to follow the biological principles of energy conservation. The tensors of AT were computed with the computational algebraic package FINSLER. Moreover, in this chapter, we present an overview of the last results and actual status of research in this area.