The Properties of Elliptical Wildfire Growth for Time Dependent Fuel and Meteorological Conditions

References

• Albinet , G. et al.,( 1986 ). Fire propagation in 2–D random media . J Physique . 477 , 1 .
   Google Scholar
• Albini , F. A. , ( 1976 ). Estimating wildland fire behaviour and effects. U.S.D.A. For. Serv. Gen. Tech. Rep. INT–30 .
   Google Scholar
• Alexander , M. E. , Lawson , B. D. , Stocks , B. J. , Van Wagner , C. E. , ( 1984 ). User guide to the Canadian Forest Fire Behaviour Prediction System Rate of spread relationships , Interim edition. Environ . Canada. Canadian Forestry Service . Ottawa , 76 pp.
   Google Scholar
• Alexander , M. E. , Lawson, B, D., Stocks , B. J. , Van Wagner , C. E. , ( 1992 ). Development and structure of the Canadian Forest Fire Behaviour Prediction System. Forestry Canada Fire Danger Group, Inf. Rep., ST–X–3 .
   Google Scholar
• Alexander , M. E. , ( 1985 ). Estimating the length–to–breadth ratios of elliptical forest fire patterns. In, Proc Eighth Conf . on Fire and Forest Meteorology , p. 287 – 304 . Soc. Amer. For., Bethesda, Md. SAF publ. 85–04 .
   Google Scholar
• Andrews , P. L. , ( 1986 ). BEHAVE fire behaviour prediction and fuel modelling system–BURN subsystem, part 1. USDA For. Serv. Gen. Tech. Rep. INT–194. Intermountain Res. Stn., Ogden, Ut . 130 pp.
   Google Scholar
• Anderson , D. H. , Catchpole E. A., de Mestre , N. J. , Parkes T., ( 1982 ). Modelling the spread of grass fires . J. Aust. Math. Soc. (Ser. B) 23 , 451 .
   Web of Science ®Google Scholar
• Beer T. , Enting I. G. , ( 1990 ). Fire spread and percolation modelling . Mathl. Comput. Modelling 13 , 77 .
   Google Scholar
• Burgan , R, E. , Rothermel , R. C. , ( 1984 ). BEHAVE fire behaviour prediction and fuel modelling system . USDA For. Serv. Gen. Tech. Rep. INT–167 , 126 pp.
   Google Scholar
• Catchpole , E. A. , de Mestre , N. J. , ( 1986 ). Physical models for a spreading line fire . Aust. For. 49 ( 2 ), 102 .
   Google Scholar
• Curry , J. R. , Fons , W. L. , ( 1938 ). Rate of spread of surface fires in ponderosa pine type of California . J. Agric. Res. 57 , 239 .
   Google Scholar
• Feunekes , U. , ( 1991 ). Error analysis in fire simulation models . M.Sc. thesis , University of New Brunswick , Canada .
   Google Scholar
• Fons , W. L. , ( 1946 ). Analysis of fire spread in light forest fuels . J Agric. Res. 72 , 93 .
   Google Scholar
• French I. A. , ( 1992 ). Visualisation Techniques for the computer simulation of Bushfires in two dimensions . M.Sc. Thesis , University of New South Wales , Australia .
   Google Scholar
• Green , D. G. , ( 1983 ). Shapes of simulated fires in discrete fuels . Ecol. Modelling , 20 , 21 .
   Web of Science ®Google Scholar
• Green , D. G. , Gill , A. M. , and Noble , I. R. , ( 1983 ). Fire shapes and the adequacy of fire–spread models . Ecol. Modelling , 20 , 33 .
   Web of Science ®Google Scholar
• Kourtz , P. H. , O’Reagan , W. , ( 1971 ). A model for a small forest fire. to simulate burned and burning areas for use in a detection model , Forest Sci 17 ( 2 ), 163 .
   Web of Science ®Google Scholar
• Lawson , B. D. , Stocks B. J., Alexander M. E., Van Wagner C E., ( 1985 ). A system for predicting fire behaviour in Canadian forests . In, Proc. Eighth Conf. on Fire and Forest Meteorology , p. 6 – 16 . Soc. Amer. For., Bethesda, Md . SAF Publ . 85–04 .
   Google Scholar
• McArthur , A. G. B. , ( 1966 ). Weather and grassland fire behaviour . Aust. For. and Timber Bur ., Canberra . Leaflet No . 100 .
   Google Scholar
• de Mestre N. J. , Catchpole , E. A. , Anderson D. H., Rothermel R. C., ( 1989 ). Uniform propagation of a planar fire without wind . Combust. Sci. and Tech. , 65 , 231 .
   Web of Science ®Google Scholar
• Mitchell , J. A. , ( 1937 ). Rule of thumb for determining rate of spread . Fire Control Notes 22 , 1 .
   Google Scholar
• Richards , G. D. , ( 1988 ). Numerical simulation of forest fires . Int. J. Numer. Meths. Eng. 25 , 625 .
   Web of Science ®Google Scholar
• Richards , G. D. , ( 1990 ). AJI elliptical growth model of forest fire fronts and its numerical solution . Int. J. Numer. Meths. Eng. 30 , 1163 .
   Web of Science ®Google Scholar
• Rothermel , R.C. , ( 1972 ). A mathematical model for predicting fire spread in wildland fuels. U.S.D.A. For. Ser., Res. Pap. INT–115 .
   Google Scholar
• Simard , A. , Young, A, ( 1978 ). tAIRPRO and airtanker productivity simulation model. Environ. Can., Can. For. Serv., For. Fire Res. Inst. Info. Rep. FF–X–66 , 16 pp.
   Google Scholar
• Van Wagner , C. E. , Picket , T. L. , ( 1985 ). Equations and FORTRAN program for the Canadian Forest Fire Weather Index System . Can. For. Ser. Tech. Rep . 33 , 18p.
   Google Scholar