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Updated: Jan 9, 2026

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Published on: November 14, 2017
Statistical dynamics of wildfire burned area from cellular-automata simulators.
Adel Sahila1, Benedetta Canfora2,3,4,5, Marzia Canzaniello6
1BCAM - Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009, Bilbao, Basque Country, Spain. adelsahila@usal.es.
This study uses a wildfire simulator to analyze forest fire dynamics in the Mediterranean. A four-parameter Beta density function effectively models burned area statistics for both synthetic and historical fires.
Area of Science:
- Environmental Science
- Computational Modeling
- Statistical Analysis
Background:
- Mediterranean forest fires pose significant risks.
- Understanding fire dynamics is crucial for effective management.
- Previous models often lack detailed statistical analysis of burned areas.
Purpose of the Study:
- To investigate the statistical dynamics of synthetic and historical forest fires.
- To identify a suitable statistical model for burned area distribution.
- To analyze the influence of environmental factors on fire spread.
Main Methods:
- Utilized the PROPAGATOR wildfire simulator based on a cellular-automaton scheme.
- Analyzed synthetic and historical fire data from Catalonia (Spain) and Liguria (Italy).
- Applied Z-score and interquartile range standardization with a customized method of moments.
Main Results:
- Burned area statistics showed non-linear growth, influenced by wind and terrain.
- A four-parameter Beta density function provided the best fit for all fire scenarios.
- Synthetic fire shape parameters (α, β) demonstrated consistent dynamics across conditions.
Conclusions:
- The four-parameter Beta distribution is a robust model for forest fire burned area statistics.
- This model can serve as a prior in Bayesian approaches for fire analysis.
- Real-world fire dynamics are complex, influenced by multiple interacting factors.
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