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

Predicting the ignition of crown fuels above a spreading surface fire. Part I: model idealization

Miguel G. Cruz A E , Bret W. Butler B , Martin E. Alexander C , Jason M. Forthofer B and Ronald H. Wakimoto D
+ Author Affiliations
- Author Affiliations

A Associação para o Desenvolvimento da Aerodinâmica Industrial, Apartado 10131, 3031-601 Coimbra, Portugal. Present address: Ensis – Forest Biosecurity and Protection, CSIRO, PO Box E4008, Kingston, ACT 2604, Australia.

B USDA Forest Service, Rocky Mountain Research Station, Fire Sciences Laboratory, Missoula, MT 59834, USA.

C Forest Engineering Research Institute of Canada, Wildland Fire Operations Research Group, 1176 Switzer Drive, Hinton, AB T7V 1V3, Canada. Present address: Canadian Forest Service, Northern Forestry Centre, 5320 122nd Street, Edmonton, Alberta T6H 3S5, Canada.

D College of Forestry and Conservation, University of Montana, Missoula, MT 59812, USA.

E Corresponding author. Email: miguel.cruz@ensisjv.com

International Journal of Wildland Fire 15(1) 47-60 https://doi.org/10.1071/WF04061
Submitted: 26 October 2004  Accepted: 25 August 2005   Published: 6 March 2006

Abstract

A model was developed to predict the ignition of forest crown fuels above a surface fire based on heat transfer theory. The crown fuel ignition model (hereafter referred to as CFIM) is based on first principles, integrating: (i) the characteristics of the energy source as defined by surface fire flame front properties; (ii) buoyant plume dynamics; (iii) heat sink as described by the crown fuel particle characteristics; and (iv) energy transfer (gain and losses) to the crown fuels. Fuel particle temperature increase is determined through an energy balance relating heat absorption to fuel particle temperature. The final model output is the temperature of the crown fuel particles, which upon reaching ignition temperature are assumed to ignite. CFIM predicts the ignition of crown fuels but does not determine the onset of crown fire spread per se. The coupling of the CFIM with models determining the rate of propagation of crown fires allows for the prediction of the potential for sustained crowning. CFIM has the potential to be implemented in fire management decision support systems.

Additional keywords: crown fire initiation; fire behavior; heat transfer; modeling.


References


Albini FA (1981) A model for wind-blown flame from a line fire. Combustion and Flame  43, 155–174.
Crossref | GoogleScholarGoogle Scholar | Albini FA (1983) ‘Potential spotting distanced from wind-driven surface fires.’ USDA Forest Service, Intermountain Forest and Range Experiment Station Research Note INT-309. (Ogden, UT)

Albini FA (1984) Wildland fires. American Scientist  72, 590–597.
Alexander ME (1998) Crown fire thresholds in exotic pine plantations of Australasia. PhD Thesis, Australian National University, Canberra, Australia.

Alexander ME (2000) ‘Fire behaviour as a factor in forest and rural fire suppression. Forest Research in association with New Zealand Fire Service Commission and National Rural Fire Authority Forest Research Bulletin No. 197.’ Forest and Rural Fire Science and Technology Series Report No. 5. (Rotorua, Wellington, New Zealand)

Alexander ME , Thomas DA (2004) Forecasting wildland fire behavior: aids, guides, and knowledge-based protocols. Fire Management Notes  64, 4–11.
Alexander ME, Stefner CN, Mason JA, Stocks BJ, Hartley GR, Maffey ME, Wotton BM, Taylor SW, Lavoie N, Dalrymple GN (2004) ‘Characterizing the jack pine–black spruce fuel complex of the International Crown Fire Modelling Experiment (ICFME).’ Canadian Forest Service, Northern Forestry Centre Information Report NOR-X-393. (Edmonton, AB)

Amiro BD (1990) Comparison of turbulence statistics within three boreal forest canopies. Boundary-Layer Meteorology  51, 99–121.
Crossref | GoogleScholarGoogle Scholar | Brown JK, Oberheu RD, Johnston CM (1982) ‘Handbook for inventorying surface fuels and biomass in the interior west.’ USDA Forest Service Research Paper INT-129. (Ogden, UT)

Butler BW, Finney MA, Andrews PL , Albini FA (2004) A radiation-driven model for crown fire spread. Canadian Journal of Forest Research  34, 1588–1599.
Crossref | GoogleScholarGoogle Scholar | Byram GM (1959) Combustion of forest fuels. In ‘Forest fire: control and use’. (Ed. KP Davis) pp. 61–89. (McGraw Hill: New York)

Catchpole EA , de Mestre N (1986) Physical models for a spreading line fire. Australian Forestry  49, 102–111.
Catchpole WR, Catchpole EA, Tate AG, Butler BW, Rothermel RC (2002) A model for the steady spread of fire through a homogeneous fuel bed. In ‘Proceedings of 4th international conference on forest fire research’. 2002 Wildland fire safety summit, 18–23 November 2002, Luso, Coimbra, Portugal. (Ed. DX Viegas) p. 106. (Millpress: Rotterdam)

Cheney NP, Gould JS , Catchpole WR (1998) Prediction of fire spread in grasslands. International Journal of Wildland Fire  8, 1–13.

Crossref | Committee on Fire Research (1961) ‘US National Academy of Sciences Research Council Publication 949.’ (National Academies Press: Washington, DC)

Cox G , Chitty R (1980) A study of the deterministic properties of unbounded fire plumes. Combustion and Flame  39, 191–209.
Crossref | GoogleScholarGoogle Scholar | Cruz MG (2004) Ignition of crown fuels above a spreading surface fire. PhD Dissertation, University of Montana, Missoula, MT.

Cruz MG, Alexander ME , Wakimoto RH (2003) Assessing canopy fuel stratum characteristics in crown fire-prone fuel types of western North America. International Journal of Wildland Fire  12, 39–50.
Crossref | GoogleScholarGoogle Scholar | Dickinson MB, Johnson EA (2001) Fire effects on trees. In ‘Forest fires, behavior and ecological effects’. (Eds EA Johnson, K Miyanishi) pp. 477–525. (Academic Press: San Diego, CA)

Dupuy JL , Larini M (1999) Fire spread through a porous forest fuel bed: A radiative and convective model including fire-induced flow effects. International Journal of Wildland Fire  9, 155–172.

Crossref | Dupuy JL, Marechal J, Bouvier L, Lois N (1998) Measurement of temperatures and radiant heat fluxes during static fires in a porous fuel. In ‘Proceedings of 3rd international conference on forest fire research – 14th conference on fire and forest meteorology’. 16–20 November 1998, Luso, Coimbra, Portugal. (Ed. DX Viegas) pp. 843–858. (ADAI, University of Coimbra: Portugal)

Fendell FE, Wolff MF (2001) Wind-aided fire spread. In ‘Forest fires, behavior and ecological effects’. (Eds EA Johnson, K Miyanishi) pp. 171–223. (Academic Press: San Diego, CA)

Fernandes PM, Catchpole WR , Rego FC (2000) Shrubland fire behavior modelling with microplot data. Canadian Journal of Forest Research  30, 889–899.
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)

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)

Fulé PZM, Covington WW, Smith HB, Springer JD, Heinlein TA, Huisinga KD , Moore MM (2002) Comparing ecological restoration alternatives: Grand Canyon, Arizona. Forest Ecology and Management  170, 19–41.
Crossref | GoogleScholarGoogle Scholar | Graham RT (Tech. Ed.) (2003) ‘Hayman fire case study.’ USDA Forest Service, Rocky Mountain Research Station General Technical Report RMRS-GTR-114. (Fort Collins, CO)

Keane RE, Garner JL, Schmidt KM, Long DG, Menakis JP, Finney MA (1998) ‘Development of input layers for the FARSITE fire growth model for the Selway-Bitterroot Wilderness complex, USA.’ USDA Forest Service Research Paper RMRS-RP-3. (Fort Collins, CO)

Keyes CR , O’Hara KL (2002) Quantifying stand targets for silvicultural prevention of crown fires. Western Journal of Applied Forestry  17, 101–109.
Linn RR (1997) ‘Transport model for prediction of wildfire behavior.’ Los Alamos National Laboratory Scientific Report LA13334-T.

Lopes AMG, Sousa ACM , Viegas DX (1995) Numerical simulation of turbulent flow and fire propagation in complex topography. Numerical Heat Transfer Part A  27, 229–253.
Mendes-Lopes JMC, Ventura JMP, Rodrigues JAM (2002) Determination of heat transfer coefficient through a matrix of Pinus pinaster needles. In ‘Forest fire research and wildland fire safety. Proceedings of 4th international conference on forest fire research’. 2002 Wildland Fire Safety Summit, 18–23 November 2002, Luso, Coimbra, Portugal. (Ed. DX Viegas) (Millpress Scientific Publications: Rotterdam, the Netherlands) [CD-ROM]

Mendes-Lopes JMC, Ventura JMP , Amaral JMP (2003) Flame characteristics, temperature–time curves, and rate of spread in fires propagating in a bed of Pinus pinaster needles. International Journal of Wildland Fire  12, 67–84.
Crossref | GoogleScholarGoogle Scholar | Modest MF (1993) ‘Radiative heat transfer.’ (McGraw-Hill: New York)

Morton BR, Taylor GI , Turner JS (1956) Turbulent gravitational convection from maintained and instantaneous sources. Proceedings of the Royal Society London  234A, 1–23.
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)

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

Saito K (2001) Flames. In ‘Forest fires, behavior and ecological effects’. (Eds EA Johnson, K Miyanishi) pp. 11–54. (Academic Press: San Diego, CA)

Sanz C (2003) A note on κ-ϵ modeling of vegetation canopy air-flows. Boundary-Layer Meteorology  108, 191–197.
Crossref | GoogleScholarGoogle Scholar | 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)

Scott JH , Reinhardt ED (2002) Estimating canopy fuels in conifer forests. Fire Management Notes  62((4)), 45–50.
Simard AJ, Haines DA, Blank RW, Frost JS (1983) ‘The Mack lake fire.’ USDA Forest Service, North Central Forest Experiment Station General Technical Report NC-83. (St Paul, MN)

Sullivan AL, Ellis PF , Knight IK (2003) A review of radiant heat flux models used in bushfire applications. International Journal of Wildland Fire  12, 101–110.
Crossref | GoogleScholarGoogle Scholar | Thomas PH (1963) The size of flames from natural fires. In ‘Proceedings, ninth symposium on combustion’. pp. 844–859. (Ithaca, NY)

Thomas PH , Scott R (1963) Research on forest fires. Report on Forest Research  1962, 116–119.
Van Wagner CE (1968) ‘Fire behaviour mechanisms in a red pine plantation: field and laboratory evidence.’ Canadian Department of Forestry and Rural Development Publication 1229.

Van Wagner CE (1977) Conditions for the start and spread of crown fire. Canadian Journal of Forest Research  7, 23–34.
Ventura JMP, Rego FMC (1998) Modeling the shape of temperature–time curves. In ‘Proceeding of the 13th conference on fire and forest meteorology’. October 1996, Lorne, Victoria, Australia. (Chair R Weber) pp. 197–201. (International Association of Wildland Fire: Moran, WY)

Viegas DX, Cruz MG, Ribeiro LM, Silva AJ, Olero A, et al. (2002) Gestosa fire spread experiments. In ‘Forest fire research and wildland fire safety. Proceedings of 4th international conference on forest fire research’. (Ed. DX Viegas) 2002 Wildland Fire Safety Summit. (Millpress Scientific Publications: Rotterdam, the Netherlands) [CD-ROM]

Wade DD, Ward DE (1973) ‘An analysis of the Air Force Bomb Range Fire.’ USDA Forest Service, Southeast Forest Range Experiment Station, Research Paper SE-105. (Asheville, NC)

Weber RO, Gill AM, Lyons PRA , Mercer GN (1995) Time dependence of temperature above wildland fires. CALMScience  4(Suppl.), 17–22.
Wolfram S (1999) ‘The mathematica book.’ 4th edn. (Wolfram Media/Cambridge University Press: Champaign, IL)

Yih CS (1953) Free convection due to boundary sources. In ‘Proceeding of the first symposium on the use of models in geophysics’. pp. 117–133. (US Government Printing Office: Washington, DC)

Zukoski EE (1995) Properties of fire plumes. In ‘Combustion fundamentals of fire’. (Ed. G Cox) pp. 101–219. (Academic Press: London)




1 In the present study, the term ‘crown’ is applied to describe aerial fuels at the tree level and ‘canopy’ at the stand level.

2 The red pine plantation had a height of 13 m and a CBH between 6.1 and 9.2 m. Basal area for the experimental area varied between 40 and 58 m2 ha−1. The prevailing environmental conditions were as follows: U10 = 3.6 m s−1; US = 1.7 m s−1; Ta = 10°C; RH = 25–35%; MC = 0.09; FMC = 0.92. Surface fuel consumption was 1.3 kg m−2. No information existed as to which fraction of the total surface fuel consumed in the surface phase was consumed within flaming combustion. Based on the information of the surface fuelbed structure, wa was estimated as 0.9 kg m−2.




Appendix 1.  List of symbols, quantities and units used in equations and text
Click to zoom


Appendix 2.  List of subscripts used in equations and text
T5