Field-based generic empirical flame length–fireline intensity relationships for wildland surface fires
Carlos G. Rossa A B * , David A. Davim B , Ângelo Sil B and Paulo M. Fernandes BA
B
Abstract
Fireline intensity (If) quantifies the power of the fireline and is used for various purposes. If and flame length (Lf) are relatable to each other using an empirical power function, which has been considered fuel-specific.
The aim of this study was to develop generic Lf − If relationships based on a robust set of field head fires from the literature (n = 797) conducted worldwide in forest, shrubland and grassland.
Lf was determined from the base of the fuel bed for comparability across fires in different fuel heights, and the effect of vegetation type was examined.
Although If could be approximately described using the same function in forest and shrubland, fires in grassland required different fitted coefficients; we speculate that fuel particles’ surface area-to-mass ratio is the main fuel metric influencing flame structure.
Fuel-generic relationships for If are reasonably accurate and encompass the high end of surface fire If. Previous studies suggested their unviability, most likely because of limitations in the number of observations and data ranges, difficulty in objectively measuring Lf and variation in Lf definition.
The generic relationships presented in this work will be of interest for research and management purposes when specific models for If are non-existent.
Keywords: combustion metrics, fire behaviour, fire management, forest, fuel metrics, grassland, head fires, shrubland, surface area-to-mass ratio.
References
Albini FA (1981) A model for the wind-blown flame from a line fire. Combustion and Flame 43, 155-174.
| Crossref | Google Scholar |
Alexander ME (1982) Calculating and interpreting forest fire intensities. Canadian Journal of Botany 60, 349-357.
| Crossref | Google Scholar |
Alexander ME (2000) ‘Fire behaviour as a factor in forest and rural fire suppression’. Forest Research, Rotorua, in association with the National Rural Fire Authority, Wellington. Forest Research Bulletin No. 197, Forest and Rural Fire Scientific and Technical Series, Report No. 5. (Forest Research Institute, New Zealand Forest Service.)
Alexander ME, Cruz MG (2012) Interdependencies between flame length and fireline intensity in predicting crown fire initiation and crown scorch height. International Journal of Wildland Fire 21, 95-113.
| Crossref | Google Scholar |
Anderson W, Pastor E, Butler B, Catchpole E, Dupuy JL, Fernandes PM, Guijarro M, Mendes-Lopes JM (2006) Evaluating models to estimate flame characteristics for free-burning fires using laboratory and field data. In ‘Proceedings of 5th International Conference on Forest Fire Research’, Figueira da Foz, Portugal, 27–30 November 2006. (Ed. DX Viegas) (Elsevier BV: Amsterdam, The Netherlands)
Anderson WR, Cruz MG, Fernandes PM, McCaw L, Vega JA, Bradstock RA, Fogarty L, Gould J, McCarthy G, Marsden-Smedley JB, Matthews S, Mattingley G, Pearce HG, van Wilgen BW (2015) A generic, empirical-based model for predicting rate of fire spread in shrublands. International Journal of Wildland Fire 24, 443-460.
| Crossref | Google Scholar |
Botelho H, Vega JA, Fernandes PM, Rego FC (1994) Prescribed fire behavior and fine fuel consumption in Northern Portugal and Galiza maritime pine stands. In ‘Proceedings of the Second International Conference on Forest Fire Research. Vol. 1’, 21–24 November 1994. pp. 343–353. (Universidade de Coimbra)
Bova AS, Dickinson MB (2008) Beyond ‘fire temperatures’: calibrating thermocouple probes and modeling their response to surface fires in hardwood fuels. Canadian Journal of Forest Research 38, 1008-1020.
| Crossref | Google Scholar |
Butler BW, Cohen J, Latham DJ, Schuette RD, Sopko P, Shannon KS, Jimenez D, Bradshaw LS (2004a) Measurements of radiant emissive power and temperatures in crown fires. Canadian Journal of Forest Research 34, 1577-1587.
| Crossref | Google Scholar |
Butler BW, Finney MA, Andrews PL, Albini FA (2004b) A radiation-driven model of crown fire spread. Canadian Journal of Forest Research 34, 1588-1599.
| Crossref | Google Scholar |
Byram GM, Nelson RM (1970) The modeling of pulsating fires. Fire Technology 6, 102-110.
| Crossref | Google Scholar |
Catchpole WR, Bradstock RA, Choate J, Fogarty LG, Gellie N, McCarthy G, McCaw WL, Marsden-Smedley JB, Pearce G (1998) Cooperative development of equations for heathland fire behaviour. In ‘Proceedings of 3rd International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology. Vol. II’, 16–20 November 1998, Luso–Coimbra, Portugal. (Ed. DX Viegas) pp. 631–645. (University of Coimbra: Coimbra, Portugal)
Cheney NP (1990) Quantifying bushfires. Mathematical and Computer Modelling 13, 9-15.
| Crossref | Google Scholar |
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.
| Crossref | Google Scholar |
Cruz MG, Sullivan AL, Gould JS, Hurley RJ, Plucinski MP (2018) Got to burn to learn: the effect of fuel load on grassland fire behaviour and its management implications. International Journal of Wildland Fire 27, 727-741.
| Crossref | Google Scholar |
Davies GM, Legg CJ (2011) Fuel Moisture Thresholds in the Flammability of Calluna vulgaris. Fire Technology 47, 421-436.
| Crossref | Google Scholar |
Dupuy JL, Maréchal J, Portier D, Valette JC (2011) The effects of slope and fuel bed width on laboratory fire behaviour. International Journal of Wildland Fire 20, 272-288.
| Crossref | Google Scholar |
Fernandes PAM (2001) Fire spread prediction in shrub fuels in Portugal. Forest Ecology and Management 144, 67-74.
| Crossref | Google Scholar |
Fernandes PM, Catchpole WR, Rego FC (2000) Shrubland fire behaviour modelling with microplot data. Canadian Journal of Forest Research 30, 889-899.
| Crossref | Google Scholar |
Fernandes PAM, Loureiro CA, Botelho S (2004) Fire behaviour and severity in a maritime pine stand under differing fuel conditions. Annals of Forest Science 61, 537-544.
| Crossref | Google Scholar |
Fernandes PM, Botelho HS, Rego FC, Loureiro C (2009) Empirical modelling of surface fire behaviour in maritime pine stands. International Journal of Wildland Fire 18, 698-710.
| Crossref | Google Scholar |
Fernandes PM, Loureiro C, Botelho H (2012) PiroPinus: a spreadsheet application to guide prescribed burning operations in maritime pine forest. Computers and Electronics in Agriculture 81, 58-61.
| Crossref | Google Scholar |
Fernandes PM, Sil A, Rossa CG, Ascoli D, Cruz MG, Alexander ME (2020) Characterizing Fire Behavior Across the Globe. In: ‘The Fire Continuum—Preparing for the Future of Wildland Fire: Proceedings of the Fire Continuum Conference’, 21–24 May 2018, Missoula, MT. (Tech. Eds S Hood, S Drury, T Steelman, R Steffens) Proc. RMRS-P-78. pp. 258–263. (Fort Collins, CO: U.S. Department of Agriculture, Forest Service, Rocky Mountain Research Station)
Finney MA, Grumstrup TP (2023) Effect of flame zone depth on the correlation of flame length with fireline intensity. International Journal of Wildland Fire 32, 1135-1147.
| Crossref | Google Scholar |
Fons WL, Clements HB, George PM (1963) Scale effects on propagation rate of laboratory crib fires. Symposium (International) on Combustion 9, 860-866.
| Crossref | Google Scholar |
Hély C, Alleaume S, Swap RJ, Shugart HH, Justice CO (2003) SAFARI-2000 characterization of fuels, fire behavior, combustion completeness, and emissions from experimental burns in infertile grass savannas in western Zambia. Journal of Arid Environments 54, 381-394.
| Crossref | Google Scholar |
Hiers JK, O’Brien JJ, Varner JM, Butler BW, Dickinson M, Furman J, Gallagher M, Godwin D, Goodrick SL, Hood SM, Hudak A, Kobziar LN, Linn R, Loudermilk EL, McCaffrey S, Robertson K, Rowell EM, Skowronski N, Watts AC, Yedinak KM (2020) Prescribed fire science: the case for a refined research agenda. Fire Ecology 16, 11.
| Crossref | Google Scholar |
Hirsch KG, Martell DL (1996) A review of initial attack fire crew productivity and effectiveness. International Journal of Wildland Fire 6, 199-215.
| Crossref | Google Scholar |
Johnson VJ (1982) The dilemma of flame length and intensity. Fire Management Notes 43, 3-7.
| Google Scholar |
Kucuk O, Bilgili E, Saglam B, Baskaya S, Dinc Durmaz B (2008) Some parameters affecting fire behavior in anatolian black pine slash. Turkish Journal of Agriculture and Forestry 32, 121-129.
| Crossref | Google Scholar |
Kunst C, Bravo S, Moscovich F, Herrera J, Godoy J, Velez S (2001) Control de tusca (Acacia aroma Gill ap. H. et A.) mediante fuego prescripto. Revista Argentina de Producción Animal 20, 199-213 [In Spanish].
| Google Scholar |
Marsden-Smedley J, Catchpole W (1995) Fire Behaviour Modelling in Tasmanian Buttongrass Moorlands: II. Fire Behaviour. International Journal of Wildland Fire 5, 215-228.
| Crossref | Google Scholar |
Nelson Jr RM, Adkins CW (1986) Flame characteristics of wind-driven surface fires. Canadian Journal of Forest Research 16, 1293-1300.
| Crossref | Google Scholar |
Nelson Jr RM, Adkins CW (1988) A dimensionless correlation for the spread of wind-driven fires. Canadian Journal of Forest Research 18, 391-397.
| Crossref | Google Scholar |
Patterson III WA, Clarke G, Haggerty S, Sievert P, Kelty M (2005) Wildland Fuel Management Options for the Central Plains of Martha’s Vineyard: Impacts on Fuel Loads, Fire Behavior and Rare Plant and Insect Species. pp. 1–140. (Department of Natural Resources Conservation, University of Massachusetts: Amherst)
Pinto A, Fernandes PM, Espinosa-Prieto J (2013) FIREglobulus: Estudo Experimental do Comportamento e Efeitos do Fogo em Eucaliptal. Silva Lusitana 21, 143-155 [In Portuguese].
| Google Scholar |
Rossa CG, Fernandes PM (2018a) An empirical model for the effect of wind on fire spread rate. Fire 1, 31.
| Crossref | Google Scholar |
Rossa CG, Fernandes PM (2018b) Empirical modelling of fire spread rate in no-wind and no-slope conditions. Forest Science 64, 358-370.
| Crossref | Google Scholar |
Sneeuwjagt RJ, Frandsen WH (1977) Behavior of experimental grass fires vs. predictions based on Rothermel’s fire model. Canadian Journal of Forest Research 7, 357-367.
| Crossref | Google Scholar |
Snowdon P (1991) A ratio estimator for bias correction in logarithmic regressions. Canadian Journal of Forest Research 21, 720-724.
| Crossref | Google Scholar |
Sparks AM, Smith AMS, Talhelm AF, Kolden CA, Yedinak KM, Johnson DM (2017) Impacts of fire radiative flux on mature Pinus ponderosa growth and vulnerability to secondary mortality agents. International Journal of Wildland Fire 26, 95-106.
| Crossref | Google 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.
| Crossref | Google Scholar |
Susott RA (1982) Characterization of the thermal properties of forest fuels by combustible gas analysis. Forest Science 28, 404-420.
| Crossref | Google Scholar |
Thompson MP, Calkin DE, Finney MA, Ager AA, Gilbertson-Day JW (2011) Integrated national-scale assessment of wildfire risk to human and ecological values. Stochastic Environmental Research and Risk Assessment 25, 761-780.
| Crossref | Google Scholar |
Van Wilgen BW (1986) A simple relationship for estimating the intensity of fires in natural vegetation. South African Journal of Botany 52, 384-385.
| Crossref | Google Scholar |
Van Wilgen B, Wills AJ (1988) Fire behaviour prediction in savanna vegetation. South African Journal of Wildlife Research 18, 41-46.
| Google Scholar |
Van Wilgen BW, Le Maitre DC, Kruger FJ (1985) Fire Behaviour in South African Fynbos (Macchia) Vegetation and Predictions from Rothermel’s Fire Model. Journal of Applied Ecology 22, 207-216.
| Crossref | Google Scholar |
Vega JA, Cuinas P, Fonturbel T, Perez-Gorostiaga P, Fernandez C (1998) Predicting fire behaviour in Galician (NW Spain) shrubland fuel complexes. In ‘Proceedings of 3rd International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology. Vol. II’, 16–20 November 1998, Luso–Coimbra, Portugal. (Ed. DX Viegas) pp. 713–728. (University of Coimbra: Coimbra, Portugal)
Weber MG, Hummel M, Van Wagner CE (1987) Selected parameters of fire behavior and Pinus banksiana Lamb. regeneration in eastern Ontario. Forestry Chronicle 63, 340-346.
| Crossref | Google Scholar |
Weise DR, Biging GS (1996) Effects of wind velocity and slope on flame properties. Canadian Journal of Forest Research 26, 1849-1858.
| Crossref | Google Scholar |