Topic
Forest-fire model
About: Forest-fire model is a research topic. Over the lifetime, 74 publications have been published within this topic receiving 7052 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, the authors show that certain extended dissipative dynamical systems naturally evolve into a critical state, with no characteristic time or length scales, and the temporal fingerprint of the self-organized critical state is the presence of flicker noise or 1/f noise; its spatial signature is the emergence of scale-invariant (fractal) structure.
Abstract: We show that certain extended dissipative dynamical systems naturally evolve into a critical state, with no characteristic time or length scales. The temporal ``fingerprint'' of the self-organized critical state is the presence of flicker noise or 1/f noise; its spatial signature is the emergence of scale-invariant (fractal) structure.
4,776 citations
TL;DR: It is shown that the forest density in the critical state assumes its minimum possible value, i.e., that energy dissipation is maximum, and derived scaling laws and calculate all critical exponents.
Abstract: A forest-fire model is introduced which contains a lightning probability f. This leads to a self-organized critical state in the limit f\ensuremath{\rightarrow}0 provided that the time scales of tree growth and burning down of forest clusters are separated. We derive scaling laws and calculate all critical exponents. The values of the critical exponents are confirmed by computer simulations. For a two-dimensional system, we show that the forest density in the critical state assumes its minimum possible value, i.e., that energy dissipation is maximum.
822 citations
TL;DR: A simple forest fire model, which is an example of self-organized criticality, exhibits power-law frequency-area statistics over many orders of magnitude, which can be used to quantify the risk of large fires.
Abstract: Despite the many complexities concerning their initiation and propagation, forest fires exhibit power-law frequency-area statistics over many orders of magnitude. A simple forest fire model, which is an example of self-organized criticality, exhibits similar behavior. One practical implication of this result is that the frequency-area distribution of small and medium fires can be used to quantify the risk of large fires, as is routinely done for earthquakes.
626 citations
TL;DR: In this paper, critical scaling behavior in a non-equilibrium system is demonstrated in the context of a forest fire model, where energy is injected uniformly, and dissipated on a fractal.
497 citations
TL;DR: The frequency-size statistics of two natural hazards, forest fires and landslides, are considered and both appear to satisfy power-law (fractal) distributions to a good approximation under a wide variety of conditions.
Abstract: We consider the frequency-size statistics of two natural hazards, forest fires and landslides. Both appear to satisfy power-law (fractal) distributions to a good approximation under a wide variety of conditions. Two simple cellular-automata models have been proposed as analogs for this observed behavior, the forest fire model for forest fires and the sand pile model for landslides. The behavior of these models can be understood in terms of a self-similar inverse cascade. For the forest fire model the cascade consists of the coalescence of clusters of trees; for the sand pile model the cascade consists of the coalescence of metastable regions.
139 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 3 |
| 2020 | 3 |
| 2019 | 1 |
| 2018 | 2 |
| 2017 | 1 |
| 2016 | 1 |