Cellular-Automata Models Applied to Natural Hazards. Malamud, B. D. & Turcotte, D. L. 2(3):42–51.
Cellular-Automata Models Applied to Natural Hazards [link]Paper  doi  abstract   bibtex   
The concept of self-organized criticality evolved from studies of three simple cellular-automata models: the forest-fire, slider-block, and sandpile models. Each model is associated with natural hazards, which have frequency-size statistics that are well approximated by power-law distributions. These distributions have important implications for probabilistic hazard assessments.
@article{malamudCellularAutomataModelsApplied2000,
  title = {Cellular-{{Automata Models Applied}} to {{Natural Hazards}}},
  author = {Malamud, Bruce D. and Turcotte, Donald L.},
  date = {2000-05},
  journaltitle = {Computing in Science \& Engineering},
  volume = {2},
  pages = {42--51},
  issn = {1521-9615},
  doi = {10.1109/5992.841795},
  url = {https://doi.org/10.1109/5992.841795},
  abstract = {The concept of self-organized criticality evolved from studies of three simple cellular-automata models: the forest-fire, slider-block, and sandpile models. Each model is associated with natural hazards, which have frequency-size statistics that are well approximated by power-law distributions. These distributions have important implications for probabilistic hazard assessments.},
  keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-2230338,cellular-automata,earthquakes,forest-fires,landslides,natural-hazards,pareto-distribution,power-law,self-organization,self-similarity,similarity},
  number = {3}
}

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