131
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

FOREST FIRE SPREAD MODELS: THE LOCAL QUASI-EQUILIBRIUM APPROACH

, &
Pages 2115-2143 | Received 04 May 2004, Accepted 06 Jul 2006, Published online: 22 Nov 2006

REFERENCES

  • Anderson , D. , Catchpole , E. , De Mestre , N. , and Parkes , T. ( 1982 ) Modelling the spread of grass fires . J. Austr. Math. Soc. ( Ser. B ) 23 , 451 – 466 . [CSA]
  • Anderson , H.E. ( 1983 ) Predicting wind-driven wildland fire size and shape . U.S. Department of Agriculture, Forest Service, Research Paper INT-305 , Ogden , Utah .
  • André , J.C.S. ( 1996 ) A theory on the propagation of surface forest fire fronts . Ph.D. Thesis (in Portuguese) , University of Coimbra , Portugal .
  • André , J.C.S. and Gonçalves , J.C. (2001) Contribution to the Final Report of INFLAME Project: Validation Studies/Fire Behaviour/Laboratory Experiments. European Union Project Report.
  • André , J.C.S. and Viegas , D.X. ( 1998a ) Modelling of the propagation of a forest fire front: appraisal of an algorithm in common use (Dijkstra's algorithm) . In Proceedings of the 2nd Numerical Meeting on Partial Differential Equations . ( Eds P Oliveira et al. ) pp. 457 – 469 . ( Department of Mathematics, University of Coimbra : Coimbra )
  • André , J.C.S. and Viegas , D.X. ( 1998b ) An unifying theory on the propagation of the fire front of surface forest fires . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 259 – 279 . ( ADAI, University of Coimbra : Luso )
  • Andrews , P.L. and Bevins , C.D. ( 1998 ) Update and expansion of the BEHAVE fire behaviour prediction system . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 733 – 740 . ( ADAI, University of Coimbra : Luso )
  • Arnold , V.I. ( 1978 ) Mathematical Methods of Classical Mechanics, , 2nd edn. , Springer , New York .
  • Barros , F.J. and Ball , G.L. ( 1998 ) Fire modelling using dynamic structure cellular automata . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 879 – 888 . ADAI, University of Coimbra : Luso .
  • Beck , J.A. ( 1988 ) Decision support for Australian fire management . MSci thesis , Australian National University , Australia .
  • Catchpole , E.A. , De Mestre , N.J. , and Gill , A.M. ( 1982 ) Intensity of fire at its perimeter . Austral. Forestry Res. , 12 , 47 – 54 . [CSA]
  • Courant , R. and Hilbert , D. ( 1962 ) Methods of Mathematical Physics, II: Partial Differential Equations . Interscience Publishers, John Wiley & Sons , New York .
  • Eftichidis , G. , Margaritis , E. , Sfiris , A. , and Varela , V. ( 1998 ) Fire management information systems: FMIS . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) II , p. 2641 . ADAI, University of Coimbra , Luso .
  • Evans , L.C. ( 1998 ) Partial Differential Equations . American Mathematical Society , Providence , RI .
  • Feunekes , U. ( 1991 ) Error Analysis in Fire Simulation Models. M.Sci. Thesis , University of New Brunswick , Canada .
  • Finney , M.A. ( 1998 ) FARSITE: Fire Area Simulator–Model development and evaluation . U.S. Department of Agriculture, Forest Service, Rocky Mountain Research Station, Research Paper RMRS-RP-4 , Montana .
  • Fons , W.L. (1940) Forest fuels. U.S. Department of Agriculture, Forest Service, Pacific Southwest Forest and Range Experiment Station, Forest Fire Laboratory, Progress Report No. 6, Riverside, California.
  • Frandsen , W.H. and Andrews , P.L. ( 1979 ) Fire behaviour in non-uniform fuels . U.S. Department of Agriculture, Forest Service, Research Paper INT-232, Ogden , Utah .
  • Kourtz , P.H. and O'Regan , W.G. ( 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 – 169 . [CSA]
  • Larini , M. , Giroud , F. , Porterie , B. , and Loraud , J.C. ( 1998 ) A multiphase formulation for fire propagation in heterogeneous combustible media . Inter. J Heat Mass Trans. , 41 ( 6–7 ), 881 – 897 . [CSA] [CROSSREF]
  • Lopes , A.M.G. ( 1993 ) Numerical and Experimental Modelling of the 3D Turbulent Flow over Complex Topography: Application to the Case of a Canyon . PhD Thesis (in Portuguese) , University of Coimbra , Portugal .
  • Lopes , A.M.G. , Cruz , M.G. , and Viegas , D.X. ( 1998 ) FIRESTATION—An integrated system for the simulation of wind flow and fire spread over complex topography . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 741 – 754 . ADAI, University of Coimbra , Luso .
  • Margerit , J. and Séro-Guillaume , O. ( 1998 ) Richards' model, Hamilton-Jacobi equation and temperature field equations of forest fires . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 281 – 294 . ADAI, University of Coimbra , Luso .
  • Martinez-Millán , J. and Saura , S. ( 1998 ) CARDIN 3.2: Forest fires spread and fighting simulation system . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 907 – 926 . ADAI, University of Coimbra , Luso .
  • O'Regan , W.G. , Kourtz , P. , and Nozaki , S. ( 1976 ) Bias in the contagion analog to fire spread . Forest Sci. , 22 ( 1 ), 61 – 68 . [CSA]
  • Richards , G.D. ( 1990 ) An elliptical growth model of forest fire fronts and its numerical solution . Inter. J. Numer. Meth. Eng. , 30 , 1133 – 1149 . [CSA]
  • Richards , G.D. ( 1995 ) A general mathematical framework for modelling two-dimensional wildland fire spread . Inter. J. Wildland Fire , 5 ( 2 ), 63 – 72 . [CSA] [CROSSREF]
  • Richards , G.D. and Bryce , R.W. ( 1995 ) A computer algorithm for simulating the spread of wildland fire perimeters for heterogeneous fuel and meteorological conditions . Inter. J. Wildland Fire , 5 ( 2 ), 73 – 79 . [CSA] [CROSSREF]
  • Ricken , H. , Green , K. , Finney , M. , Campbell , J. , Weinstein , D. , and Landrum , V. ( 1998 ) Fire!—Using GIS to predict fire behaviour . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , pp. 915 – 926 . ADAI, University of Coimbra , Luso .
  • Roberts , S. (1989) A line element algorithm for curve flow problems in the plane. Centre for Mathematical Analysis, Australian National University, Report CMAR5889 , Canberra.
  • Rothermel , R.C. ( 1972 ) A mathematical model for predicting fire spread in wildland fuels . United States Department of Agriculture, Forest Service, Research Paper INT-115 , Ogden ( Utah ) .
  • Van Wagner , C.E. ( 1969 ) A simple fire-growth model . Forest Chron. , 45 , 103 – 104 . [CSA]
  • Vasconcelos , M.J.P. , Paúl , J.C.U. , and Gonçalves , A. ( 1998 ) GEOFOGO—Testing a forest fire simulation system . In Proceedings of the III International Conference on Forest Fire Research/14th Conference on Fire and Forest Meteorology . (Ed DX Viegas) I , p. 889 . ADAI, University of Coimbra , Luso .
  • Vaz , G.C. , André , J.C.S. , and Viegas , D.X. ( 2004 ) Fire spread model for a linear front in a horizontal solid porous fuel bed in still air . Combust. Sci. Technol. , 176 , 135 – 182 . [CSA]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.