Spatial-Temporal Structure of Mixed-Age Forest Boundary: The Simplest Mathematical Model

Antonovsky, M.Y., Aponina, E.A., & Kuznetsov, Y.A. (1989). Spatial-Temporal Structure of Mixed-Age Forest Boundary: The Simplest Mathematical Model. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-054

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Abstract

The modeling of forest ecosystems is one of IIASA's continuous research activities in the Environment Program. There are two main approaches to this modeling: a) simulation and b) qualitative (analytical). This paper belongs to the latter.

Analytical models allow the prediction of the behavior of key variables of ecosystems and can be used to organize and analyze data produced by simulation models or obtained by observations. This paper is devoted to the study of a simple mathematical model of spatially distributed non-even-age forests. The main tools used in the paper are new methods of qualitative theory of non-linear differential equations.

This work is a continuation of the cooperation in forest modeling at IIASA started in 1986-1989 by W. Clark, H. Shugart, R. Fleming and the authors of this paper.

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