Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-13T23:10:05.904Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling the spread of grass fires

Published online by Cambridge University Press:  17 February 2009

D. H. Anderson,
E. A. Catchpole,
N. J. De Mestre and
T. Parkes
D. H. Anderson
Affiliation:
Department of Mathematics, Faculty of Military Studies, Royal Military College, Duntroon, A.C.T. 2600
E. A. Catchpole
Affiliation:
Department of Mathematics, Faculty of Military Studies, Royal Military College, Duntroon, A.C.T. 2600
N. J. De Mestre
Affiliation:
Department of Mathematics, Faculty of Military Studies, Royal Military College, Duntroon, A.C.T. 2600
T. Parkes
Affiliation:
Department of Mathematics, Faculty of Military Studies, Royal Military College, Duntroon, A.C.T. 2600
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

A simple elliptic model is developed for the spread of a fire front through grassland. This is used to predict theoretical fire fronts, which agree closely with those obtained in practice.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 23 , Issue 4 , April 1982, pp. 451 - 466
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Albini, Frank A., “Estimating wildfire behaviour and effects”, USDA For. Serv. Gen. Tech. Rep., INT-30 (1976).Google Scholar
[2]Albini, Frank A., “Computer-based models of wildland fire behaviour: a users manual”, Intermt. For, and Range Exp. Sin., Ogden, Utah, (1976).Google Scholar
[3]Anderson, Hal E., “Sundance fire: an analysis of fire phenomena”, USDA For. Serv. Res. Pap., INT-56 (1968).Google Scholar
[4]Curry, J. R. and Fons, W. L., “Rate of spread of surface fires in the Ponderosa pine type of California”, J. Agric. Res. 57(1938), 239–267.Google Scholar
[5]Fons, Wallace L., “Analysis of fire spread in light forest fuels”, J. Agric. Res. 72 (1946), 93–121.Google Scholar
[6]Klukas, Richard W., “Control burn activities in Everglades National Park”, Proc. Annual Tall Timbers Fire Ecology Conf., Tall Timbers Res. Stn., Tallahassee, Florida (1973).Google Scholar
[7]Kourtz, P. H. and O'Regan, W. G., “A model for a small forest fire…to simulate burned and burning areas for use in a detection model”, For. Sci. 17 (1971), 163–169.Google Scholar
[8]Luke, R. H. and McArthur, A. G., “Bushfires in Australia”, Aust. Govt. Publishing Service, Canberra (1978).Google Scholar
[9]Peet, G. B., “The shape of mild fires in jarrah forest”, Aust. For. 31 (1967), 121–127.CrossRefGoogle Scholar
[10]Rothermel, Richard C., “A mathematical model for predicting fire spread in wildland fuels”, USDA For. Serv. Res. Pap. INT-115, (1972).Google Scholar
[11]Van Wagner, C. E., “A simple fire-growth model”, For. Chron. 45 (1969), 103–104.CrossRefGoogle Scholar
[12]Wade, Dale D. and Ward, Darold E., “An analysis of the Air Force Bomb Range Fire”, USDA For. Serv. Res. Pap., SE-105, (1973).Google Scholar