Register      Login
International Journal of Wildland Fire International Journal of Wildland Fire Society
Journal of the International Association of Wildland Fire
RESEARCH ARTICLE

Modelling the rate of fire spread and uncertainty associated with the onset and propagation of crown fires in conifer forest stands

Miguel G. Cruz A C and Martin E. Alexander B
+ Author Affiliations
- Author Affiliations

A CSIRO, GPO Box 1700, Canberra, ACT 2601, Australia.

B Wild Rose Fire Behaviour, 180 – 50434 Range Road 232, Leduc County, AB T4X 1 L0, Canada.

C Corresponding author. Email: miguel.cruz@csiro.au

International Journal of Wildland Fire 26(5) 413-426 https://doi.org/10.1071/WF16218
Submitted: 11 December 2016  Accepted: 13 March 2017   Published: 9 May 2017

Abstract

Crown fires are complex, unstable phenomena dependent on feedback mechanisms between the combustion products of distinct fuel layers. We describe non-linear fire behaviour associated with crowning and the uncertainty they cause in fire behaviour predictions by running a semiphysical modelling system within a simple Monte Carlo simulation framework. The method was able to capture the dynamics of passive and active crown fire spread regimes, providing estimates of average rate of spread and the extent of crown fire activity. System outputs were evaluated against data collected from a wildfire that occurred in a radiata pine plantation in south-eastern Australia. The Monte Carlo method reduced prediction errors relative to the more commonly used deterministic modelling approach, and allowed a more complete description of the level of crown fire behaviour to expect. The method also provides uncertainty measures and probabilistic outputs, extending the range of questions that can be answered by fire behaviour models.

Additional keywords: crowning, deterministic method, ensemble method, fire behaviour, Monte Carlo simulation, Pinus radiata, radiata pine.


References

Agee JK, Skinner CN (2005) Basic principles of forest fuel reduction treatments. Forest Ecology and Management 211, 83–96.
Basic principles of forest fuel reduction treatments.Crossref | GoogleScholarGoogle Scholar |

Ager AA, Finney MA, McMahan A, Carthcart J (2010) Measuring the effect of fuel treatments on forest carbon using landscape risk analysis. Natural Hazards and Earth System Sciences 10, 2515–2526.
Measuring the effect of fuel treatments on forest carbon using landscape risk analysis.Crossref | GoogleScholarGoogle Scholar |

Albini FA (1976) Estimating wildfire behavior and effects. USDA Forest Service, Intermountain Forest and Range Experiment Station, General Technical Report INT-30. (Ogden, UT, USA)

Albini FA (1981) A model for wind-blown flame from a line fire. Combustion and Flame 43, 155–174.
A model for wind-blown flame from a line fire.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL38XlsVOrtg%3D%3D&md5=1305f218d130d6980573b68c05f42411CAS |

Alexander ME, Cruz MG (2006) Evaluating a model for predicting active crown fire rate of spread using wildfire observations. Canadian Journal of Forest Research 36, 3015–3028.
Evaluating a model for predicting active crown fire rate of spread using wildfire observations.Crossref | GoogleScholarGoogle Scholar |

Alexander ME, Cruz MG (2013) Limitations on the accuracy of model predictions of wildland fire behaviour: a state-of-the-knowledge overview. Forestry Chronicle 89, 370–381.
Limitations on the accuracy of model predictions of wildland fire behaviour: a state-of-the-knowledge overview.Crossref | GoogleScholarGoogle Scholar |

Alexander ME, Cruz MG (2016) Crown fire dynamics in conifer forests. In ‘Synthesis of knowledge of extreme fire behavior: Volume 2 for fire behavior specialists, researchers, and meteorologists’. USDA Forest Service, Pacific Northwest Research Station, General Technical Report PNW-GTR-891, pp. 163–258. (Portland, OR, USA)

Alexander ME, Cruz MG, Lopes AMG (2006) CFIS: a software tool for simulating crown fire initiation and spread. In ‘Proceedings of 5th international conference on forest fire research’, 27–30 November 2006, Figueira da Foz, Portugal (Ed. DX Viegas) CD-ROM (BV Elsevier: Amsterdam, Netherlands)

Alexander ME, Mutch RW, Davis KM, Bucks CM (2017) Wildland fires: dangers and survival. In ‘Auerbach’s wilderness medicine, Volume 1’, 7th edn. (Ed. PS Auerbach) pp. 276–318. (Elsevier: Philadelphia, PA, USA)

Anderson K, Reuter G, Flannigan MD (2007) Fire-growth modelling using meteorological data with random and systematic perturbations. International Journal of Wildland Fire 16, 174–182.
Fire-growth modelling using meteorological data with random and systematic perturbations.Crossref | GoogleScholarGoogle Scholar |

Andrews PL (2014) Current status and future needs of the BehavePlus Fire Modeling System. International Journal of Wildland Fire 23, 21–33.
Current status and future needs of the BehavePlus Fire Modeling System.Crossref | GoogleScholarGoogle Scholar |

Andrews PL, Bevins CD, Seli RC (2005) BehavePlus fire modeling system, version 3.0: user’s guide. USDA Forest Service, Rocky Mountain Research Station, General Technical Report RMRS-GTR-106WWW. (Fort Collins, CO, USA)

Andrews PL, Finney MA, Fischetti M (2007) Predicting wildfires. Scientific American 297, 46–55.
Predicting wildfires.Crossref | GoogleScholarGoogle Scholar |

Bevins CD (1979) Fire modelling for natural fuel situations in Glacier National Park. In ‘Proceedings of first conference on scientific research in National Parks, Volume II’, 9–12 November 1976, New Orleans, LA, USA. Transactions and Proceedings Series 5, pp. 1225–1229. (USDI National Park Service:Washington, DC, USA)

Buck AL (1981) New equations for computing vapor pressure and enhancement factor. Journal of Applied Meteorology 20, 1527–1532.
New equations for computing vapor pressure and enhancement factor.Crossref | GoogleScholarGoogle Scholar |

Burrows ND, Ward B, Robinson A (1988) Aspects of fire behaviour and fire suppression in a Pinus pinaster plantation. Western Australia Department of Conservation and Land Management, Landnote 2/88. (Perth, WA, Australia)

Butler BW, Cohen J, Latham DJ, Schuette RD, Sopko P, Shannon KS, Jimenez D, Bradshaw LS (2004) Measurements of radiant emissive power and temperatures in crown fires. Canadian Journal of Forest Research 34, 1577–1587.
Measurements of radiant emissive power and temperatures in crown fires.Crossref | GoogleScholarGoogle Scholar |

Byram GM (1954) Atmospheric conditions related to blowup fires. USDA Forest Service, Southeastern Forest Experiment Station, Station Paper 35. (Asheville, NC, USA)

Byram GM (1959) Combustion of forest fuels. In ‘Forest fire: control and use’. (Ed. KP Davis) pp. 61–89, 554–555. (McGraw Hill: New York, NY, USA)

Campbell GS, Norman JM (1998) ‘An introduction to environmental biophysics’, 2nd edn. (Springer-Verlag: New York, NY, USA)

Catchpole EA, Hatton TJ, Catchpole WR (1989) Fire spread through non-homogeneous fuel modeled as a Markov process. Ecological Modelling 48, 101–112.
Fire spread through non-homogeneous fuel modeled as a Markov process.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK3cXptlGj&md5=073fe475a1f4849fe6e62edd59c4a20aCAS |

Cheney NP, Gould JS, McCaw WL, Anderson WR (2012) Predicting fire behaviour in dry eucalypt forest in southern Australia. Forest Ecology and Management 280, 120–131.
Predicting fire behaviour in dry eucalypt forest in southern Australia.Crossref | GoogleScholarGoogle Scholar |

Cox G (1998) Turbulent closure and the modelling of fire by using computational fluid dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 356, 2835–2854.
Turbulent closure and the modelling of fire by using computational fluid dynamics.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1MXhtl2hu7Y%3D&md5=43518dd29d846d2985373f4a20f3e715CAS |

Cruz MG (2010) Monte Carlo-based ensemble method for prediction of grassland fire spread. International Journal of Wildland Fire 19, 521–530.
Monte Carlo-based ensemble method for prediction of grassland fire spread.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, Alexander ME (2009) Assessing discontinuous fire behaviour and uncertainty associated with the onset of crowning. In ‘The ’88 fires: Yellowstone and beyond’. (Eds RE Masters, KEM Galley, DG Despain) Tall Timbers Research Station, Miscellaneous Publication Number 16, p. 20. (Tallahassee, FL, USA)

Cruz MG, Fernandes PAM (2008) Development of fuel models for fire behaviour prediction in maritime pine (Pinus pinaster Ait.) stands. International Journal of Wildland Fire 17, 194–204.
Development of fuel models for fire behaviour prediction in maritime pine (Pinus pinaster Ait.) stands.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, Plucinski MP (2007) Billo Road Fire – analysis of fire phenomena and suppression activities. Bushfire Cooperative Research Centre, Bushfire CRC Report A.07.02. (Melbourne, Vic., Australia)

Cruz MG, Alexander ME, Wakimoto RH (2004) Modeling the likelihood of crown fire occurrence in conifer forest stands. Forest Science 50, 640–658.

Cruz MG, Alexander ME, Wakimoto RH (2005) Development and testing of models for predicting crown fire rate of spread in conifer forest stands. Canadian Journal of Forest Research 35, 1626–1639.
Development and testing of models for predicting crown fire rate of spread in conifer forest stands.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, Butler BW, Alexander ME, Forthofer JM, Wakimoto RH (2006) Predicting the ignition of crown fuels above a spreading surface fire. I: Model idealization. International Journal of Wildland Fire 15, 47–60.
Predicting the ignition of crown fuels above a spreading surface fire. I: Model idealization.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, Alexander ME, Fernandes PAM (2008) Development of a model system to predict wildfire behaviour in pine plantations. Australian Forestry 71, 113–121.
Development of a model system to predict wildfire behaviour in pine plantations.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, de Mar P, Adshead D (2011) Radiata pine plantation fuel and fire behaviour guide. GHD. (Sydney, NSW, Australia) Available at www.ghd.com/PDF/PinusRadiataFuelandFireGuide.pdf [Verified 4 April 2017]

Fernandes PM, Loureiro C, Botelho HS (2004) Fire behaviour and severity in a maritime pine stand under differing fuel conditions. Annals of Forest Science 61, 537–544.
Fire behaviour and severity in a maritime pine stand under differing fuel conditions.Crossref | GoogleScholarGoogle Scholar |

Fernandes PM, Barros AMG, Pinto A, Santos JA (2016) Characteristics and controls of extremely large wildfires in the western Mediterranean Basin. Journal of Geophysical Research. Biogeosciences 121, 2141–2157.
Characteristics and controls of extremely large wildfires in the western Mediterranean Basin.Crossref | GoogleScholarGoogle Scholar |

Finney MA (2004) FARSITE: fire area simulator – model development and evaluation. USDA Forest Service, Rocky Mountain Research Station, Research Paper RMRS-RP-4 revised. (Fort Collins, CO, USA)

Finney MA, McHugh CW, Grenfell IC (2005) Stand- and landscape-level effects of prescribed burning on two Arizona wildfires. Canadian Journal of Forest Research 35, 1714–1722.
Stand- and landscape-level effects of prescribed burning on two Arizona wildfires.Crossref | GoogleScholarGoogle Scholar |

Finney MA, Grenfell IC, McHugh CW, Seli RC, Trethewey D, Stratton RD, Brittain S (2011) A method for ensemble wildland fire simulation. Environmental Modeling and Assessment 16, 153–167.
A method for ensemble wildland fire simulation.Crossref | GoogleScholarGoogle Scholar |

Forest Fire Management Group (2007) Softwood plantation fire synopsis. Primary Industry Ministerial Council, Forestry and Forest Products Committee. (Canberra, ACT, Australia) Available at www.ffr.co.nz/system/files/documents2/ffmg_2007.pdf [Verified 4 April 2017]

Forestry Canada Fire Danger Group (1992) Development and structure of the Canadian Forest Fire Behavior Prediction System. Forestry Canada, Science and Sustainable Development Directorate, Information Report ST-X-3. (Ottawa, ON, Canada)

Fried JS, Gilless JK, Spero J (2006) Analysing initial attack on wildland fires using stochastic simulation. International Journal of Wildland Fire 15, 137–146.
Analysing initial attack on wildland fires using stochastic simulation.Crossref | GoogleScholarGoogle Scholar |

Fulé PZ, McHugh CW, Heinlein TA, Covington WW (2001) Potential fire behavior is reduced following forest restoration treatments. In ‘Ponderosa pine ecosystems restoration and conservation: steps towards stewardship’. (Eds RK Vance, CB Edminster, WW Covington, JA Blake) USDA Forest Service, Rocky Mountain Research Station, Proceedings RMRS-P-22, pp. 28–35. (Fort Collins, CO, USA)

Gilless JK, Fried JS (1999) Stochastic representation of fire behavior in a wildland fire protection planning model for California. Forest Science 45, 492–499.

Gneiting T, Raftery AE (2005) Weather forecasting with ensemble methods. Science 310, 248–249.
Weather forecasting with ensemble methods.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2MXhtFWksr%2FO&md5=19e15255e3ace9cbe843d6a66b8d7f2bCAS |

Graham RT (Ed.) (2003) Hayman Fire case study. USDA Forest Service, Rocky Mountain Research Station, General Technical Report RMRS-GTR-114. (Fort Collins, CO, USA)

Hesseln H, Rideout DB, Omi PN (1998) Using catastrophe theory to model wildfire behaviour and control. Canadian Journal of Forest Research 28, 852–862.
Using catastrophe theory to model wildfire behaviour and control.Crossref | GoogleScholarGoogle Scholar |

Honig KA, Fulé PZ (2012) Simulating effects of climate change and ecological restoration on fire behaviour in a south-western USA ponderosa pine forest. International Journal of Wildland Fire 21, 731–742.
Simulating effects of climate change and ecological restoration on fire behaviour in a south-western USA ponderosa pine forest.Crossref | GoogleScholarGoogle Scholar |

Justus CG, Hargraves WR, Mikhail A, Graber D (1978) Methods for estimating wind speed frequency distributions. Journal of Applied Meteorology 17, 350–353.
Methods for estimating wind speed frequency distributions.Crossref | GoogleScholarGoogle Scholar |

Kagan RL (1979) ‘Averaging of meteorological fields.’ (Eds LS Gandin, TM Smith) (Kluwer Academic Publishers: Dordrecht, the Netherlands)

Kourtz P (1972) Probability makes fire danger index more reliable. Fire Control Notes 33, 11–12.

Mees R, Strauss D, Chase R (1994) Minimizing the cost of wildland fire suppression: a model with uncertainty in predicted flame length and fire-line width produced. Canadian Journal of Forest Research 24, 1253–1259.
Minimizing the cost of wildland fire suppression: a model with uncertainty in predicted flame length and fire-line width produced.Crossref | GoogleScholarGoogle Scholar |

Mercer GN, Weber RO (1994) Plumes above line fires in a cross-wind. International Journal of Wildland Fire 4, 201–207.
Plumes above line fires in a cross-wind.Crossref | GoogleScholarGoogle Scholar |

Nelson RM (2003a) Power of the fire – a thermodynamic analysis. International Journal of Wildland Fire 12, 51–63.
Power of the fire – a thermodynamic analysis.Crossref | GoogleScholarGoogle Scholar |

Nelson RM (2003b) Reaction times and burning rates for wind-tunnel headfires. International Journal of Wildland Fire 12, 195–211.
Reaction times and burning rates for wind-tunnel headfires.Crossref | GoogleScholarGoogle Scholar |

Noble IR, Bary GAV, Gill AM (1980) McArthur’s fire-danger meters expressed as equations. Australian Journal of Ecology 5, 201–203.
McArthur’s fire-danger meters expressed as equations.Crossref | GoogleScholarGoogle Scholar |

Oosting HJ (1944) The comparative effect of surface and crown fire on the composition of a loblolly pine community. Ecology 25, 61–69.
The comparative effect of surface and crown fire on the composition of a loblolly pine community.Crossref | GoogleScholarGoogle Scholar |

Pook EW, Gill AM (1993) Variation of live and dead fine fuel moisture in Pinus radiata plantations of the Australian Capital Territory. International Journal of Wildland Fire 3, 155–168.
Variation of live and dead fine fuel moisture in Pinus radiata plantations of the Australian Capital Territory.Crossref | GoogleScholarGoogle Scholar |

Plucinski MP, Sullivan AL, Rucinski CJ, Prakash M (2017) Improving the reliability and utility of operational bushfire behaviour predictions in Australian vegetation. Environmental Modelling & Software 91, 1–12.
Improving the reliability and utility of operational bushfire behaviour predictions in Australian vegetation.Crossref | GoogleScholarGoogle Scholar |

Rothermel RC (1972) A mathematical model for predicting fire spread in wildland fuels. USDA Forest Service, Intermountain Forest and Range Experiment Station, Research Paper INT-115. (Ogden, UT, USA)

Rothermel RC (1983) How to predict the spread and intensity of forest and range fires. USDA Forest Service, Intermountain Forest and Range Experiment Station, General Technical Report INT-143. (Ogden, UT, USA)

Rothermel RC (1991) Predicting behavior and size of crown fires in the Northern Rocky Mountains. USDA Forest Service, Intermountain Research Station, Research Paper INT-438. (Ogden, UT, USA)

Schoennagel T, Nelson CR, Theobald DM, Carnwath GC, Champman TB (2009) Implementation of National Fire Plan treatments near the wildland–urban interface in the western United States. Proceedings of the National Academy of Sciences of the United States of America 106, 10706–10711.
Implementation of National Fire Plan treatments near the wildland–urban interface in the western United States.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXos1ajsbc%3D&md5=451554e9ed137f2c2c85f882bc68cf87CAS |

Schoennagel T, Veblen TT, Negron JF, Smith JM (2012) Effects of mountain pine beetle on fuels and expected fire behavior in lodgepole pine forests, Colorado, USA. PLoS One 7, e30002
Effects of mountain pine beetle on fuels and expected fire behavior in lodgepole pine forests, Colorado, USA.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC38XhslKhurk%3D&md5=4084e96b2a11d09afdcbe5f939120e3bCAS |

Scott JH (1998) Fuel reduction in residential and scenic forests: a comparison of three treatments in a western Montana ponderosa pine stand. USDA Forest Service, Rocky Mountain Research Station, Research Paper RMRS-RP-5. (Ogden, UT, USA)

Scott JH (2008) Modeling transitions in shrubland fire behavior using crown fire modeling techniques. In ‘Proceedings of the 2002 fire conference: managing fire and fuels in the remaining wildlands and open spaces of the south-western United States.’ (Ed. MG Narog) USDA Forest Service, Pacific Southwest Station, General Technical Report PSW-GTR-189, pp. 301–308. (Albany, CA, USA)

Scott JH, Reinhardt ED (2001) Assessing crown fire potential by linking models of surface and crown fire behavior. USDA Forest Service, Rocky Mountain Research Station, Research Paper RMRS-RP-29. (Fort Collins, CO, USA)

Scott AC, Bowman DMJS, Bond WJ, Pyne SJ, Alexander ME (2014) ‘Fire on Earth: an introduction.’ (Wiley-Blackwell: Chichester, UK)

Slijepcevic A, Anderson WR, Matthews S (2013) Testing existing models for predicting hourly variation in fine fuel moisture in eucalypt forests. Forest Ecology and Management 306, 202–215.
Testing existing models for predicting hourly variation in fine fuel moisture in eucalypt forests.Crossref | GoogleScholarGoogle Scholar |

Stephens SL, McIver JD, Boerner REJ, Fettig CJ, Fontaine JB, Hartsough BR, Kennedy PL, Schwilk DW (2012) The effects of forest fuel-reduction treatments in the United States. Bioscience 62, 549–560.
The effects of forest fuel-reduction treatments in the United States.Crossref | GoogleScholarGoogle Scholar |

Stocks BJ, Alexander ME, Wotton BM, Stefner CN, Flannigan MD, Taylor SW, Lavoie N, Mason JA, Hartley GR, Maffey ME, Dalrymple GN, Blake TW, Cruz MG, Lanoville RA (2004) Crown fire behaviour in a northern jack pine–black spruce forest. Canadian Journal of Forest Research 34, 1548–1560.
Crown fire behaviour in a northern jack pine–black spruce forest.Crossref | GoogleScholarGoogle Scholar |

Streeks TJ, Owens MK, Whisenant SG (2005) Examining fire behavior in mesquite–acacia shrublands. International Journal of Wildland Fire 14, 131–140.
Examining fire behavior in mesquite–acacia shrublands.Crossref | GoogleScholarGoogle Scholar |

Sullivan AL, Knight IK (2001) Estimating error in wind speed measurements for experimental fires. Canadian Journal of Forest Research 31, 401–409.
Estimating error in wind speed measurements for experimental fires.Crossref | GoogleScholarGoogle Scholar |

Taylor SW, Alexander ME (2016) Field guide to the Canadian Forest Fire Behavior Prediction (FBP) System, 2nd edn. Natural Resources Canada, Canadian Forest Service, Northern Forestry Centre, Special Report 11. (Edmonton, AB, Canada)

Taylor SW, Wotton BM, Alexander ME, Dalrymple GN (2004) Variation in wind and crown fire behaviour in a northern jack pine–black spruce forest. Canadian Journal of Forest Research 34, 1561–1576.
Variation in wind and crown fire behaviour in a northern jack pine–black spruce forest.Crossref | GoogleScholarGoogle Scholar |

Van Wagner CE (1964) History of a small crown fire. Forestry Chronicle 40, 202–205.
History of a small crown fire.Crossref | GoogleScholarGoogle Scholar |

Van Wagner CE (1968) Fire behaviour mechanisms in a red pine plantation: field and laboratory evidence. Canada Department of Forestry and Rural Development, Forestry Branch, Publication 1229. (Ottawa, ON, Canada)

Van Wagner CE (1977) Conditions for the start and spread of crown fire. Canadian Journal of Forest Research 7, 23–34.
Conditions for the start and spread of crown fire.Crossref | GoogleScholarGoogle Scholar |

Van Wagner CE (1989) Prediction of crown fire behavior in conifer stands. In ‘Proceedings of the 10th conference on fire and forest meteorology’, 17–21 April 1989, Ottawa, ON, Canada. (Eds DC MacIver, H Auld, R Whitewood) pp. 207–212. (Forestry Canada and Environment Canada: Ottawa, ON, Canada)

Van Wagner CE (1993) Prediction of crown fire behavior in two stands of jack pine. Canadian Journal of Forest Research 23, 442–449.
Prediction of crown fire behavior in two stands of jack pine.Crossref | GoogleScholarGoogle Scholar |

Weise DR, Stephens SL, Fujioka FM, Moody TJ, Benoit J (2010) Estimation of fire danger in Hawaii using limited weather data and simulation. Pacific Science 64, 199–220.
Estimation of fire danger in Hawaii using limited weather data and simulation.Crossref | GoogleScholarGoogle Scholar |

World Meteorological Organization (1988) ‘World Meteorological Organization technical regulations. Volume 1. General meteorological standards and recommended practices 49.’ (Secretariat of the World Meteorological Organization: Geneva, Switzerland)