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 language | English |
---|---|
Pages (from-to) | 149-200 |
Number of pages | 52 |
Journal | Natural Resource Modeling |
Volume | 15 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2002 |