Characteristics of SOC

Table of Contents

Self-organized criticality of landscape patterning

Characteristics of SOC

Some definitions of SOC

SOC is universal

Research questions

Data: U.S. General Land Office Surveys

Information used for this study

Landscape of early southern Wisconsin

Cellular automaton (CA)

Initial conditions

Cluster probabilities

Evolving cellular automaton

Temporal evolution (1)

Temporal evolution (2)

Fluctuations in cluster probability

Power law !

Power law ?

Spatial variation of the CA

Perturbation test

Conclusions

Where to go from here ?

Thank you!

Email: sprott@juno.physics.wisc.edu

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