Evaluation of the probabilistic model of fire propagation using cellular automata applied to small areas
DOI:
https://doi.org/10.5902/1980509831126Keywords:
Mathematical modeling, Remote sensing, Forest firesAbstract
The Municipal Park of Serra de São Domingos, located in Poços de Caldas, Minas Gerais state, Brazil, presents occurrences of annual fires, which promote environmental and socioeconomic losses. The use of a fire propagation model that could aid in the planning of combat, and even in the prevention of such fires, would be extremely beneficial for the municipality and for the Fire Department. The objectives of this work are the presentation of the fire studies in the area and the parameterization and evaluation of a probabilistic model of fire propagation, based on the cellular automata methodology, like the models used in the Cerrado biome region. The characterization is based on the use of remote sensing tools and meteorological data, and the parameterization of the model used data from a fire with well-defined affected area and well-known ignition point, and the model was adjusted by applying the metaheuristic algorithm of firefly swarm. The efficacy of the model was later tested with two distinct fire occurrences, both with well-struck area hit, but an unknown point of ignition. The model was able to represent up to 57% of the real area affected by the fire, and some parameters were considered satisfactory, such as the elementary probabilities of sustainability and fire ignition. However, the studies indicate that there is a need for greater refinement in the data used in the model, mainly data on the moisture and ignition point of fires.Downloads
References
ACHTEMEIER, G. L. Field validation of a free-agent cellular automata model of fire spread with fire-atmosphere coupling. International Journal of Wildland Fire, EUA, v. 22, p. 148-156, 2013.
ADOU, J. K.; BROU, A. D. V.; PORTERIE, B. Modeling wildland fire propagation using a semi-physical network model. Cases Studies in Fire Safety, [S.l.], v. 4, p. 11-18, 2015.
ALEXANDRIDIS, A. et al. A cellular automata model for forest fire spread prediction: The case of the wildfire that swept through spetses island. In 1990. Applied Mathematics and Computation, [S.l.], v. 204, n. 1, p. 191-201, 2008.
ALMEIDA, R. M.; MACAU, E. E. N. Stochastic cellular automata model for wildland fire spread dynamics. Jornal of Physics: Conference Series, [S.l.], v. 285, n. 1, 2011.
ALMEIDA, R. M. et al. Autômatos celulares probabilísticos aplicados à modelagem da propagação de incêndios de vegetação. Proceeding series of the Brazilian Society of Applied and Computational Mathematics, São Carlos, v. 3, n. 1, 2015.
ANDRE, J. C. S.; VIEGAS, D. X. Modelos de propagação de fogos florestais: Estado da arte para utilizadores (parte I: Introdução e modelos locais). Silva Lusitana, Lisboa, Portugal, v. 9, n. 2, p. 237-264, 2001.
CHENEY, N. P.; GOULD, J. S.; CATCHPOLE, W. R. Prediction of fire spread in grasslands. International Journal of Wildland Fire, EUA, v. 8, n. 1, p. 1-13, 1998.
CIPRIANI, H. N. et al. Fire risk map for the Serra de São Domingos Municipal Park, Poços de Caldas, MG. CERNE, Lavras, v. 17, n. 1, p. 77-83, 2011.
CORPO DE BOMBEIROS MILITAR (CBM) – 1ª Companhia Independente De Poços de Caldas – 6º Comando Operacional Do Estado de Minas Gerais. Relatórios de Eventos de Defesa Civil. 2010-2015
COSTA, M. P. Ecologia da vegetação arbórea na Serra de São Domingos, Poços de Caldas (MG). 2010 Dissertação (mestrado) – Universidade Federal de Lavras (UFLA), 2010.
D’AMBROSIO, D. et al. A model for the simulation of forest fire dynamics using cellular automata. In: iEMS 2006, Summit on Environmental Modelling and Software, Vermont, EUA, 2006.
HARGROVE, W. W. et al. Simulating fire patterns in heterogeneous landscapes. Ecological Modelling, [S.l.], v. 135, p. 243-263, 2000.
INSTITUTO NACIONAL DE PESQUISAS ESPACIAIS (INPE). Banco de Dados Geomorfométricos do Brasil. Disponível em: http://www.dsr.inpe.br/topodata/.
IUDIN, D. I.; SERGEYEV, Ya. D.; HAYAKAWA, M. Infinity computations in cellular automaton forest-fire model. Communications in Nonlinear Science and Numerical Simulation, [S.l.], v. 20, n. 3, p. 861-870, 2015.
LI, C.; LI, J.; HU, L.; HOU, D.; Visualization and simulation model of underground mine fire disaster based on Cellular Automata. Applied Mathematical Modelling, [s.I.], v. 39, n. 15, p. 4351-4364, 2015.
MCARTHUR, A. G. Weather and grassland fire behaviour. Forestry and Timber Bureau, Department of National Development, Commonwealth of Australia, 1966.
NOBLE, I. R.; GILL, A. M.; BARY, G. A. V. McArthur’s fire-danger meters expressed as equations. Australian Journal of Ecology, Austrália, v. 5, n. 2, p. 201-203, 1980.
PASTOR, E. et al. Mathematical models and calculation systems for the study of wildland fire behaviour. Progress in Energy and Combustion Science, [s.I.], v. 29, n. 2, p. 139-153, 2003.
PREFEITURA MUNICIPAL DE POÇOS DE CALDAS (PMPC). Conselho de Defesa do Patrimônio Histórico, Artístico, Cultural e Turístico de Poços de Caldas (CONDEPHACT-PC). Ata da 94ª reunião ordinária do Conselho Deliberativo Municipal de Defesa do Patrimônio Histórico, Artístico, Cultural e Turístico do Município de Poços de Caldas, 2014.
Disponível em: http://www.pocosdecaldas.mg.gov.br/site/?page_id=23501. Acesso em: janeiro de 2018.
PYNE, J. S.; ANDREWS, P. L.; LAVEN, R. D. Introduction to wildland fire. 2 ed. New York, EUA, John Wiley & Sons, 1996.
SULLIVAN, A. L. Wildland surface fire spread modelling, 1990-2007. 2: Empirical and quase-empirical models. International Journal of Wildland Fire, EUA, v. 18, n. 4, p. 387-403, 2009.
YANG, X. S. Nature-Inspired Meteheuristic Algorithms. Frome, UK: Luniver Press, 2008.