Size distribution dynamics of plants with interaction by shading

Takenori Takada, Yoh Iwasa

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)173-184
Number of pages12
JournalEcological Modelling
Issue number2-4
Publication statusPublished - Oct 1986

All Science Journal Classification (ASJC) codes

  • Ecological Modelling


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