Self-organization in Forest Evolution

3/14/2002


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Table of Contents

Self-organization in Forest Evolution

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Outline

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Landscape of Early Southern Wisconsin

Stochastic Cellular Automaton Model

Cellular Automaton (Voter Model)

Initial Conditions

Cluster Probability

Cluster Probabilities (1)

Cluster Probabilities (2)

Fluctuations in Cluster Probability

Power Spectrum (1)

Power Spectrum (2)

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Deterministic Coupled-flow Lattice Model

Lotka-Volterra Equations

Types of Interactions

Equilibrium Solutions

Stability - Bifurcation

Generalized Spatial Lotka-Volterra Equations

Typical Results

Typical Results

Typical Results

Dominant Species

Fluctuations in Cluster Probability

Power Spectrum of Cluster Probability

Fluctuations in Total Biomass

Power Spectrum of Total Biomass

Sensitivity to Initial Conditions

Results

Summary

References

Author: Clint Sprott

Email: sprott@juno.physics.wisc.edu

Home Page: http://sprott.physics.wisc.edu/