The time development of the frequency distribution of individual weights in a plant population is analyzed theoretically by using the von Foerster equation. It is shown that the shading caused by large individuals leads to a positively skewed (L-shaped) pattern of stationary distribution, which is often observed in the field. The basic assumptions are: (a) the growth rate of a plant is reduced due to shading by surrounding higher individuals; and (b) the growth rate function of a plant has a logistic form. As the shade-effect is enhanced the model predicts that: the L-shaped pattern of the steady-state weight distribution becomes more pronounced; and the L-shaped pattern appears at an earlier stage.
All Science Journal Classification (ASJC) codes
- Ecological Modelling