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A stochastic forest fire growth model

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Abstract

We consider a stochastic fire growth model, with the aim of predicting the behaviour of large forest fires. Such a model can describe not only average growth, but also the variability of the growth. Implementing such a model in a computing environment allows one to obtain probability contour plots, burn size distributions, and distributions of time to specified events. Such a model also allows the incorporation of a stochastic spotting mechanism.

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References

  • Anderson KR, Flannigan MD, Reuter G (2005) Using ensemble techniques in fire-growth modelling. In: 6th Symp. on Fire and Forest Meteorology, vol 2.4. Canmore, Alberta Amer Meteorol Soc, Boston, MA, pp 1–6, 24–27, Oct 2005

  • Berjak SG, Hearne JW (2002) An improved cellular automaton model for simulating fire in a spatially heterogeneous Savanna system. Ecol Model 148: 133–151

    Article  Google Scholar 

  • Boychuk D, Braun WJ, Kulperger RJ, Krougly ZL, Stanford DA (2007) A stochastic model for fire growth. INFOR, Special Issue on Forestry 45: 339–352

    Google Scholar 

  • Forestry Canada Fire Danger Group (1992) Development and structure of the Canadian Forest Fire Behaviour Prediction System. Forestry Canada, Science and Sustainability, Information Report ST-X-3

  • Chase CH (1984) Spotting distance from wind-driven surface fires—extensions of equations for pocket calculators. Res. Note INT-346. US Department of Agriculture, Forest Service, Ogden UT

  • Durrett R (1988) Lecture notes on particle systems and percolation. Wadsworth

  • Finney MA (1999) Mechanistic modelling of landscape fire patterns. In: Mladenoff DJ, Baker WL (eds) Spatial modelling of forest landscape change: approaches and applications, Cambridge University Press, pp 186–209

  • Hirsch KG (1996) Canadian Forest Fire Behavior Prediction (FBP) System: user’s guide. Special Report 7, Canadian Forest Service, Northwest Region, Northern Forestry Centre. UBC Press, Vancouver, BC. ISBN 0-660-16389-6. ISSN 1188–7419

  • Lewis PAW, Shedler GS (1976) Simulation of nonhomogeneous Poisson processes with log linear rate function. Biometrika 63: 501–506

    Article  Google Scholar 

  • Malamud BD, Morein G, Turcotte DL (1998) Forest fires: an example of self-organized critical behavior. Science 281: 1840–1841

    Article  PubMed  CAS  Google Scholar 

  • Ntaimo L, Zeigler BP, Vasconcelos MJ, Khargharia B (2004) Forest fire spread and suppression in DEVS. Simulation 80(10): 479–500

    Article  Google Scholar 

  • Podur J (2006) Weather, Forest Vegetation, and Fire Suppression Influences on Area Burned by Forest Fires in Ontario. Ph.D. Thesis, Faculty of Forestry, University of Toronto

  • Prometheus: The Canadian Wildland Fire Growth Model (2006). Web site for current release of Prometheus 4.3.5: http://www.firegrowthmodel.com/index.cfm

  • Prometheus: The Canadian Wildland Fire Growth Model (2006). Dogrib data and information http://www.firegrowthmodel.com/public_download.cfm

  • Richards GD (1990) An elliptical growth model of forest fire fronts and its numerical solution. Int J Numer Meth Eng 30: 1163–1179

    Article  Google Scholar 

  • Richardson D (1973) Random growth in a tessleation. Proceedings of the Cambridge Philosophical Society 74: 515–528

    Article  Google Scholar 

  • Rothermel RC (1972) A mathematical model for predicting fire spread in wildland fuels. USDA For. Serv., Intermt For. and Range Exp. Stn, Ogden, UT. Res. Paper INT-1 15: pp 40

  • Stauffer D, Aharony A (1992) Introduction to percolation theory. Taylor and Francis, Washington

    Google Scholar 

  • Taylor SW, Wotton BM, Alexander ME, Dalrymple GN (2004) Variation in wind and crown fire behaviour in a northern jack pine—black spruce forest. Can J Forest Res 34: 1561–1576

    Article  Google Scholar 

  • Trevis L (2005) Master’s Thesis. University of Calgary. Electronic version available at http://www.geomatics.ucalgary.ca/Papers/Thesis/NES/05.20222.LTrevis.pdf

  • Xu J, Lathrop RG (1994) Geographic information system based wildfire spread. In: Proceedings of 12th fire and forest meteorology conference, pp 477–484

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Authors and Affiliations

  1. Ontario Ministry of Natural Resources, Sault Ste Marie, Ontario, Canada

    Den Boychuk

  2. Department of Statistical and Actuarial Sciences, University of Western Ontario, London, Ontario, Canada, N6A5B9

    W. John Braun, Reg J. Kulperger, Zinovi L. Krougly & David A. Stanford

Authors
  1. Den Boychuk
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  2. W. John Braun
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  3. Reg J. Kulperger
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  4. Zinovi L. Krougly
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  5. David A. Stanford
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Corresponding author

Correspondence to Reg J. Kulperger.

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Boychuk, D., Braun, W.J., Kulperger, R.J. et al. A stochastic forest fire growth model. Environ Ecol Stat 16, 133–151 (2009). https://doi.org/10.1007/s10651-007-0079-z

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  • DOI: https://doi.org/10.1007/s10651-007-0079-z

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