Are rainforests self-organized in a critical state?

Abstract The spatial distribution of low-canopy gaps in the Barro Colorado Island rainforest (Panama) is shown to exhibit fractal properties. A simple cellular automata model (the “Forest Game”) was constructed in order to simulate the gap dynamics of such forests as well as the observed macroscopic spatial regularities. Generalized fractal dimensions are studied as a function of several relevant parameters. The observed and simulated fractal behaviour is shown to be related to self-similar dynamics of biomass. This result is interpreted as related to the emergence of a class of “self-organized critical state”.

[1]  Ricard V. Solé,et al.  Multifractals in Rainforest Ecosystems: Modelling and Simulation , 1993, Fractals in the Natural and Applied Sciences.

[2]  Giorgio Parisi,et al.  Statistical Physics and biology , 1993 .

[3]  B Burlando,et al.  The fractal geometry of evolution. , 1993, Journal of theoretical biology.

[4]  R. Ruthen Adapting to Complexity , 1993 .

[5]  Ricard V. Solé,et al.  Self-organized criticality in Monte Carlo simulated ecosystems , 1992 .

[6]  Jonathan Silvertown,et al.  Cellular Automaton Models of Interspecific Competition for Space--The Effect of Pattern on Process , 1992 .

[7]  A. Fisher,et al.  The Theory of Critical Phenomena: An Introduction to the Renormalization Group , 1992 .

[8]  T. Ikegami,et al.  Homeochaos: dynamic stability of a symbiotic network with population dynamics and evolving mutation rates , 1992 .

[9]  Cote,et al.  Box-counting multifractal analysis. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[10]  Ricard V. Solé,et al.  On structural stability and chaos in biological systems , 1992 .

[11]  Pulse propagation on a fractal network , 1992 .

[12]  R. Solé Strange attractors, spatiotemporal chaos and criticality in complex biosystems , 1992 .

[13]  Y. Iwasa,et al.  Dynamic modeling of wave regeneration (Shimagare) in subalpine Abies forests , 1991 .

[14]  I. Scheuring The fractal nature of vegetation and the species-area relation , 1991 .

[15]  Stephen P. Hubbell,et al.  Sapling Survival, Growth, and Recruitment: Relationship to Canopy Height in a Neotropical Forest , 1991 .

[16]  Per‐Anders Esseen,et al.  Treefall disturbance maintains high bryophyte diversity in a boreal spruce forest. , 1990 .

[17]  G Sugihara,et al.  Applications of fractals in ecology. , 1990, Trends in ecology & evolution.

[18]  P. Bak,et al.  Self-organized criticality in the 'Game of Life" , 1989, Nature.

[19]  K. Chen,et al.  The physics of fractals , 1989 .

[20]  T. C. Whitmore,et al.  Canopy Gaps and the Two Major Groups of Forest Trees , 1989 .

[21]  S. Krantz Fractal geometry , 1989 .

[22]  E. Álvarez-Buylla,et al.  Treefall age determination and gap dynamics in a tropical forest , 1988 .

[23]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[24]  Jensen,et al.  Fractal measures and their singularities: The characterization of strange sets. , 1987, Physical review. A, General physics.

[25]  D. Lieberman,et al.  Mortality patterns and stand turnover rates in a wet tropical forest in Costa Rica , 1985 .

[26]  N. Brokaw Gap-phase regeneration in a tropical forest. , 1985 .

[27]  J. Lawton,et al.  Fractal dimension of vegetation and the distribution of arthropod body lengths , 1985, Nature.

[28]  Stephen Wolfram,et al.  Cellular automata as models of complexity , 1984, Nature.

[29]  H. Shugart A Theory of Forest Dynamics , 1984 .

[30]  P. Burrough Fractal dimensions of landscapes and other environmental data , 1981, Nature.

[31]  R. Margalef The Organization of Space , 1979 .

[32]  J. Connell Diversity in tropical rain forests and coral reefs. , 1978, Science.

[33]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .