Forest spatial dynamics with gap expansion: Total gap area and gap size distribution

Takuya Kubo, Yoh Iwasa, Naoki Furumoto

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

Recent studies on forest dynamics in diverse forested ecosystems suggest that forest stands are disturbed more frequently if they are next to existing gaps, and that gaps once formed tend to expand their area in subsequent years. We examine total gap area and the size distribution of gaps at equilibrium in a lattice-structured forest model. Each site undergoes transition between two states (gaps and non-gaps), and the disturbance rate (transition from non-gap to gap) increases with the number of gap sites in the neighborhood. Dynamics based on a mean-field approximation (i.e. neglecting of spatial structure) failed to predict total gap area and the gap size distribution in the equilibrium forest. Pair approximation, which considers a closed dynamical system of average and local gap density (the conditional gap density among neighbors of a randomly chosen gap site), can predict the total gap area, the correlation between neighbors, and the gap size distribution fairly accurately. If the recruitment rate increases in proportion to non-gap area in the forest, the model may show bistability. We analyse data on forest spatial dynamics in the light of the model. We conclude that gap size distribution can often be described using two statistics (global and local gap densities) and that these in turn can be predicted by the dynamics of gap formation, gap expansion, regeneration, and gap closure.

Original languageEnglish
Pages (from-to)229-246
Number of pages18
JournalJournal of Theoretical Biology
Volume180
Issue number3
DOIs
Publication statusPublished - Jun 7 1996

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Ecosystems
Pair Approximation
closed loop systems
Predict
Dynamical systems
Bistability
forest stands
Mean-field Approximation
Statistics
Spatial Structure
Regeneration
Ecosystem
statistics
Expand
Forests
Closure
Proportion
Disturbance
Dynamical system
Model

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Forest spatial dynamics with gap expansion : Total gap area and gap size distribution. / Kubo, Takuya; Iwasa, Yoh; Furumoto, Naoki.

In: Journal of Theoretical Biology, Vol. 180, No. 3, 07.06.1996, p. 229-246.

Research output: Contribution to journalArticle

Kubo, Takuya ; Iwasa, Yoh ; Furumoto, Naoki. / Forest spatial dynamics with gap expansion : Total gap area and gap size distribution. In: Journal of Theoretical Biology. 1996 ; Vol. 180, No. 3. pp. 229-246.
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