A MODEL OF THE INFLUENCES OF A FOREST FIRE ON ITS NEIGHBORHOODS AND RELATED RISK MANAGEMENT ASPECTS
DOI:
https://doi.org/10.26458/1645Keywords:
mathematical modeling, cellular automata model, forest fireAbstract
Abstract. The aim of the present paper is to produce a model for the propagation of a forest fire analyzing the influences that the fire zone has on its neighborhoods. The model is aMoore cellular automaton type. It depends on six parameters: the medium slope of the elementary cell, the layer type, and the burning time of the fuel, the fuel type, the wind direction and speed. In order to study the influences of various parameter configurations on the system of vicinities of a fire cell we construct some special directional correlation functions. An application is elaborated based on real data.References
J. von NEUMANN: The general and logical theory of automata. L.A. Jeffress (Eds.), Cerebral Mechanisms in Behavior, Wiley, New York, 1948, pp. 1 – 41
S. WOLRAM: Statistical mechanics of cellular automata. Rev. Mod. Phys., 55 (1983), pp. 601 – 644
L. HERNANDEZ ENCINAS, S. HOYA WHITE, A. MARTIN DEL REY, G. RODRIGUEZ SANCEZ: Modeling forest fire spread using hexagonal cellular automata. Applied Mathematical Modeling 31 (2007), pp. 1213 – 1227
W.W. HARGROVE, R.H. GARDNER, M.G. TURNER, W.H. ROMME, D.G. DESPAIN: Simulating fire patterns in heterogeneous landscapes. Ecol. Model. 135 (2000), pp. 243 – 263
K.C. CLARKE, J.A. BRASS, P.J. RIGGAN: A cellular automaton model of wild fire propagation and extinction. Photogramm. Eng. Remote Sensing 60 (1994), pp. 1355 – 1367
J. QUARTIERI, N. MASTORAKIS, G. IANNONE, C. GUARNACCIA: A cellular automata model for fire spreading prediction. Proc of WSEAS Int. Conf. Latest trends on urban planning and transportation (2011), pp. 173 – 179
C. ROTHERMEL: A mathematical model for predicting fire spread in wild land fuels. USDA Forest service, Research paper INT-115 (1972)
F.M. FUJIOKA: Estimating wild land fire rate of spread in a spatially nonuniform environment. Forest Sci., vol. 31, No. 1 (1985), pp. 21 – 29
M.G. TURNER, W.H. ROMME: Landscape dynamics in crown fire ecosystems. Land. Ecol., vol. 9, No. 1 (1994), pp. 59 – 77
J. ILLIAN, A. PENTTINEN, H. STOYAN, D. STOYAN: Statistical analysis and modeling of spatial point patterns. Ed. Wiley (2008)
M. PĂUN: Dynamic painting using cellular automata. Proc of 12 Aplimat Int. Conf. Bratislava, Slovakia (2013), pp. 343 – 346
I.V.M.POSEA: Doctoral thesis - MANAGEMENT OF FOREST FIRES RISK (2012), pp. 33-34, 142-157
