A class of models describing age structure dynamics in a natural forest

Michael A. Kraemer, Leonid V. Kalachev, Dean W. Coble

Research output: Contribution to journalArticlepeer-review

Abstract

The age dynamics of a natural forest is modeled by the von-Foerster partial differential equation for the age density, while the seedling density is obtained as a solution of an integro-differential equation. This seedling density equation contains a small parameter, the ratio of seedling re-establishment time and the life span of an average tree in the forest. Several models are introduced that take into account various mortality curves and growth functions of trees, the dependence of seedlings carrying capacity on forest size, and different types of seedlings re-establishment. Asymptotic, analytic and numerical methods are used to solve typical example problems.

Original languageEnglish
Pages (from-to)149-200
Number of pages52
JournalNatural Resource Modeling
Volume15
Issue number2
DOIs
StatePublished - Jun 2002

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