Propagation of local interactions create global gap structure and dynamics in a tropical rainforest
Autor: | C. Pagnutti, Madhur Anand, Mohamed Azzouz |
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Rok vydání: | 2006 |
Předmět: |
Statistics and Probability
Tropical Climate General Immunology and Microbiology Ecology Applied Mathematics General Medicine Biodiversity Power law Models Biological General Biochemistry Genetics and Molecular Biology Cellular automaton Trees Complex dynamics Closure (computer programming) Simple (abstract algebra) Modeling and Simulation Cluster (physics) Cluster Analysis Gap dynamics Statistical physics General Agricultural and Biological Sciences Geology Tropical rainforest |
Zdroj: | Journal of theoretical biology. 247(1) |
ISSN: | 0022-5193 |
Popis: | Gap dynamics in tropical forests are of interest because an understanding of them can help to predict canopy structure and biodiversity. We present a simple cellular automaton model that is capable of capturing many of the trends seen in the canopy gap pattern of a complex tropical rainforest on the Barro Colorado Island (BCI) using a single set of model parameters. We fit the global and local densities, the cluster size distributions, and two correlation functions, for gaps, gap formations, and gap closures determined from a spatial map of the forest (1983-1984). To the best of our knowledge, this is the first report that the cluster size distributions of gap formations and closures in the BCI are both power laws. An important element in the model is that when a transition from gap to non-gap (closure), or vice versa (formation), occurs, this transition is allowed to expand into adjacent cells in order to make different cluster sizes of transitions. Model results are in excellent agreement with reported field data. The propagation of local interactions is necessary in order to obtain the complex dynamics of the gap pattern. We also establish a connection between the global and local densities via the neighborhood-dependent transition rates and the effective global transition rates. |
Databáze: | OpenAIRE |
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