Self-organization in Forest Evolution

PPT Slide

Outline

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)

Deterministic Coupled-flow Lattice Model

Lotka-Volterra Equations

Types of Interactions

Equilibrium Solutions

Stability - Bifurcation

Generalized Spatial Lotka-Volterra Equations

Typical Results

Dominant Species

Power Spectrumof Cluster Probability

Fluctuations in Total Biomass

Power Spectrumof Total Biomass

Sensitivity to Initial Conditions

Results

Summary

References

Email: sprott@juno.physics.wisc.edu

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