Wildland Fire Spread Models

Publisher Summary This chapter surveys spread models and tries to give the reader an understanding of the main ideas behind the modeling as well as an overview of the different approaches and the relative merits of the various fire spread models. The emphasis is on the explanation of relevant physical principles and the way in which they are encapsulated into the mathematical models. The spread of individual wildland fires directly affects plant communities on a short timescale. This is distinct from fire regimes over many years, which help to define vegetation mosaics. It is this fairly immediate impact which has prompted a great deal of fire modeling activity over many decades. Naturally, the desire to predict the spread of wildland fires to aid in containment and management of resources during particular fire incidents has also been a strong motivational factor.

[1]  F. Albini,et al.  A model for the wind-blown flame from a line fire , 1981 .

[2]  Ian R. Noble,et al.  McArthur's fire-danger meters expressed as equations , 1980 .

[3]  The analysis of flame spread through forest fuel , 1977 .

[4]  R. Minnich Fire Mosaics in Southern California and Northern Baja California , 1983, Science.

[5]  David G. Green,et al.  Fire shapes and the adequacy of fire-spread models , 1983 .

[6]  E. A. Catchpole,et al.  Modelling the spread of grass fires , 1982, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[7]  T. Hatton,et al.  Fire spread through nonhomogeneous fuel modelled as a Markov process , 1989 .

[8]  Tom Beer,et al.  Percolation theory and fire spread , 1990 .

[9]  R. Schroll Coping with Fire , 2002 .

[10]  Y. Sakawa,et al.  A nonstationary model of firespreading , 1980 .

[11]  William H. Frandsen,et al.  Fire spread through porous fuels from the conservation of energy , 1971 .

[12]  Brown Dd Gene expression in eukaryotes. , 1981 .

[13]  C. E. Van Wagner,et al.  A Simple Fire-Growth Model , 1969 .

[14]  D. G. Green Shapes of simulated fires in discrete fuels , 1983 .

[15]  M. Larini,et al.  A multiphase formulation for fire propagation in heterogeneous combustible media , 1998 .

[16]  J. A. M. S. Duarte FIRE SPREAD IN NATURAL FUEL: COMPUTATIONAL ASPECTS , 1997 .

[17]  D. G. Green,et al.  THE ECOLOGICAL INTERPRETATION OF FINE RESOLUTION POLLEN RECORDS , 1983 .

[18]  Howard W. Emmons,et al.  Fire spread in paper arrays , 1971 .

[19]  R. Weber,et al.  Modelling fire spread through fuel beds , 1991 .

[20]  T. Beer,et al.  Bushfire rate‐of‐spread forecasting: Deterministic and statistical approaches to fire modelling , 1991 .

[21]  W. Fons,et al.  Analysis of Fire Spread in Light Forest Fuels , 1946 .

[22]  Neville de Mestre,et al.  Physical models for a spreading line fire , 1986 .

[23]  G. B. Peet The Shape of Mild Fires in Jarrah Forest , 1967 .

[24]  P. Greig-Smith Pattern in Vegetation , 1979 .

[25]  I. Noble,et al.  The Use of Vital Attributes to Predict Successional Changes in Plant Communities Subject to Recurrent Disturbances , 1980 .

[26]  H. Anderson,et al.  Heat transfer and fire spread , 1969 .

[27]  F. A. Albini,et al.  Iterative solution of the radiation transport equations governing spread of fire in wildland fuel , 1996 .

[28]  P. Thomas Rates of Spread of Some Wind-driven Fires , 1971 .

[29]  S.-L. Lee,et al.  Firebrand trajectory study using an empirical velocity-dependent burning law , 1970 .

[30]  F. A. Williams,et al.  Mechanisms of fire spread , 1977 .

[31]  E. A. Catchpole,et al.  Uniform Propagation of a Planar Fire Front Without Wind , 1989 .

[32]  R. Weber,et al.  Analytical models for fire spread due to radiation , 1989 .

[33]  D. Stauffer,et al.  Fire propagation in a 2-D random medium , 1986 .

[34]  D. G. Green,et al.  Simulating spatial patterns in forest ecosystems , 1985 .

[35]  E. A. Catchpole,et al.  Intensity of fire at its perimeter. , 1982 .

[36]  James K. Brown Bulk densities of nonuniform surface fuels and their application to fire modeling , 1981 .

[37]  Ian G. Enting,et al.  Fire spread and percolation modelling , 1990 .

[38]  T. Beer,et al.  The Speed of a Fire Front and Its Dependence on Wind-Speed , 1993 .

[39]  Brian J. Stocks,et al.  Predicted and Observed Rates of Spread of Crown Fires in Immature Jack Pine , 1986 .

[40]  Tom Beer,et al.  The interaction of wind and fire , 1991 .

[41]  H. M. Cekirge,et al.  Propagation of fire fronts in forests , 1978 .

[42]  Fire Propagation in Vertical Stick Arrays - the Effects of Wind , 1995 .

[43]  F. A. Williams,et al.  Urban and wildland fire phenomenology , 1982 .

[44]  Monica G. Turner,et al.  Predicting the spread of disturbance across heterogeneous landscapes , 1989 .

[45]  T. Ohlemiller Modeling of smoldering combustion propagation , 1985 .

[46]  B. M. Wotton,et al.  The use of fractal dimension to improve wildland fire perimeter predictions , 1993 .

[47]  P. H. Thomas,et al.  Some Aspects of the Growth and Spread of Fire in the Open , 1964 .

[48]  David G. Green,et al.  Interactive simulation of bushfires in heterogeneous fuels , 1990 .

[49]  F. Albini A Model for Fire Spread in Wildland Fuels by-Radiation† , 1985 .

[50]  R. O. Weber,et al.  Flame Spread Measurements on Single Ponderosa Pine Needles: Effect of Sample Orientation and Concurrent External Flow , 1990 .

[51]  Thomas G. Peterson,et al.  Flame spread through porous fuels , 1973 .

[52]  F. Albini Wildland Fire Spread by Radiation-a Model Including Fuel Cooling by Natural Convection , 1986 .

[53]  Harvinder S. Sidhu,et al.  Combustion waves for gases (Le = 1) and solids (Le→∞) , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[54]  Rodney Weber,et al.  A model for fire propagation in arrays , 1990 .