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RESEARCH ARTICLE

Review of formal methodologies for wind–slope correction of wildfire rate of spread

Jason J. Sharples
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School of Physical, Environmental and Mathematical Sciences, UNSW@ADFA, Canberra, ACT 2600, Australia; and Bushfire Cooperative Research Centre, Level 5, 340 Albert St, East Melbourne, VIC 3002, Australia. Email: j.sharples@adfa.edu.au

International Journal of Wildland Fire 17(2) 179-193 https://doi.org/10.1071/WF06156
Submitted: 11 November 2006  Accepted: 18 October 2007   Published: 18 April 2008

Abstract

The effects of wind and topographic slope are important considerations when determining the rate and direction of spread of wildfires. Accordingly, most models used to predict the direction and rate of spread contain components designed to account for these effects. Over the years, a variety of different approaches have been developed. In the present manuscript, we examine the various mathematical models employed to account for the effects of wind and slope at a formal level, making comparisons where appropriate. The methods reviewed include scalar methods, which ignore the directional nature of wind and slope effects, as well as methods in which the effects of wind and slope are combined in a vectorial manner. Both empirical and physical models for wind–slope correction are considered.


Acknowledgements

The author would like to thank G. Mills, R. McAlpine and J. S. Gould for their comments on a draft version of the present manuscript. Thanks are also due to D. X. Viegas, M. Alexander and F. Morandini for their helpful and friendly correspondence on this topic, and R. McRae, R. Weber, K. Tolhurst and D. Chong for illuminating discussions concerning wind–slope correction of fire rate of spread. The author also gratefully acknowledges the support of the Bushfire CRC and the anonymous reviewers whose suggestions helped broaden the context of the paper.


References


Abraham R, Marsden JE, Ratiu T (1988) ‘Manifolds, Tensor Analysis and Applications.’ 2nd edn. (Springer-Verlag: New York)

Albini FA (1976) Combining wind and slope effects on spread rate. Unpublished memo to RC Rothermel dated 19/1/76. On file at Intermountain Fire Sciences Lab. (Missoula, MT)

Anton H (1987) ‘Elementary Linear Algebra.’ 5th edn. (Wiley: New York)

Balbi JH, Santoni PA , Dupuy JL (1999) Dynamic modelling of fire spread across a fuel bed. International Journal of Wildland Fire  9, 275–284.
Crossref | GoogleScholarGoogle Scholar | Butler BW, Bartlette RA, Bradshaw LS, Cohen JD, Andrews P, Putnam T, Mangan RJ, Brown H (1998) Fire Behavior Associated with the 1994 South Canyon Fire on Storm King Mountain, Colorado. USDA Forest Service, Rocky Mountain Research Station, Research Paper RMRMS-RP-9. (Ogden, UT)

Butler BW, Bartlette RA, Bradshaw LS, Cohen JD, Andrews PL, Putnam T, Mangan RJ , Brown H (2003) The South Canyon Fire revisited: lessons in fire behaviour. Fire Management Today  63(4), 77–84.
Butler BW, Forthofer JM, Finney MA, McHugh C, Stratton R, Bradshaw LS (2006) The impact of high-resolution wind field simulations on the accuracy of fire growth predictions. In ‘Proceedings of the 5th International Conference on Forest Fire Research’. 27–30 November 2006, Figueira da Foz, Portugal. (Ed. DX Viegas) (Elsevier B.V.: Amsterdam)

Byram GM (1959) Forest fire behaviour. In ‘Forest Fire: Control and Use’. (Ed. KP Davis) (McGraw-Hill: New York)

Byram GM, Clements HB, Bishop ME, Nelson RMJr (1966) Final report – PROJECT FIRE MODEL: an explanatory study of model fires. Office of Civil Defense Contract OCD-PS-65–40, USDA Forest Service, Southeastern Forest Experiment Station. (Asheville, NC)

Dold J, Weber R, Gill AM, Ellis P, McRae R, Cooper N (2005) Unusual phenomena in an extreme bushfire. In ‘Proceedings of the 5th Asia-Pacific Conference on Combustion’, 17–20 July 2005, The University of Adelaide, South Australia. (Ed. K King) (University of Adelaide: Adelaide)

Dupuy J-L , 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(3), 155–172.
Crossref | GoogleScholarGoogle Scholar | Finney MA (1998) FARSITE: Fire Area Simulator – model development and application. USDA Forest Service, Rocky Mountain Research Station Research Paper RMRS-RP-4. (Ogden, UT)

Fons WL (1946) Analysis of fire spread in light forest fuels. Journal of Agricultural Research  54(4), 239–267.
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)

Forthofer JM, Butler BW, Shannon KS, Finney MA, Bradshaw LS, Stratton R (2003) Predicting surface winds in complex terrain for use in fire spread models. In ‘Proceedings of the 5th Symposium on Fire and Forest Meteorology’, November 2003, Orlando, FL. (American Meteorological Society: Boston, MA)

Linn RR (1997) Transport model for prediction of wildfire behaviour. Los Alamos National Laboratory, Scientific Report LA13334-T. (Los Alamos, NM)

Linn RR, Winterkamp J, Edminster C, Colman JJ , Smith WS (2007) Coupled influences of topography and wind on wildland fire behaviour. International Journal of Wildland Fire  16, 183–195.
Crossref | GoogleScholarGoogle Scholar | McAlpine RS, Lawson BD, Taylor E (1991) Fire spread across a slope. In ‘Proceedings, 11th Conference on Fire and Forest Meteorology’, 16–19 April 1991, Missoula, MT. (Ed. DF Potts) pp. 218–225. (Society of American Foresters: Bethesda, MD)

McArthur AG (1966) Weather and grassland fire behaviour. Department of National Development, Forestry and Timber Bureau Leaflet No. 100. (Canberra, ACT)

McArthur AG (1967) Fire behaviour in eucalypt forests. Department of National Development, Forestry and Timber Bureau Leaflet No. 107. (Canberra, ACT)

McCarthy MA, Cary GJ (2002) Fire regimes in landscapes: models and realities. In ‘Flammable Australia’. (Eds RA Bradstock, JE Williams, AM Gill) (Cambridge University Press: New York)

McRae R (2004a) Virtually volvelles. In ‘Proceedings, Bushfire 2004’, May 2004, Adelaide, SA. (Department of Environment and Heritage, South Australia: Adelaide, SA)

McRae R (2004b) Breath of the dragon – observations of the January 2003 ACT Bushfires. In ‘Proceedings, Bushfire 2004’, May 2004, Adelaide, SA. (Department of Environment and Heritage, South Australia: Adelaide, SA)

McRae R, Weber RO, Sharples JJ (2006) Lessons from the 2003 fires – advancing bushfire risk management in the high country. In ‘Proceedings, Bushfire 2006’, June 2006, Brisbane, QLD. (Ed. C Tran) (Griffith University: Brisbane, QLD)

Morandini F, Santoni PA, Balbi JH, Ventura JM , Mendes-Lopes JM (2002) A two-dimensional model of fire spread across a fuel bed including wind combined with slope conditions. International Journal of Wildland Fire  11, 53–64.
Crossref | GoogleScholarGoogle Scholar | Murphy PJ (1963) Rate of fire spread in an artificial fuel. MS Thesis, Montana State University, Bozeman, MT.

Nelson RM (2002) An effective wind speed for models of fire spread. International Journal of Wildland Fire  11, 153–161.
Crossref | GoogleScholarGoogle Scholar | Rothermel RC (1972) A mathematical model for predicting fire spread in wildland fuels. USDA Forest Service, Intermountain Research Station, Research Paper INT-115. (Ogden, UT)

Rothermel RC (1993) Mann Gulch Fire: a race that couldn’t be won. USDA Forest Service, Intermountain Research Station General Technical Report INT-299. (Ogden, UT)

Rothermel RC , Mutch RW (1986) Behaviour of the life-threatening Butte Fire: August 27–29, 1985. Fire Management Notes  47(2), 14–24.
Pagni PJ, Peterson TG (1973) Flame spread through porous fuels. In ‘Fourteenth International Symposium on Combustion’, Pittsburgh, PA. pp. 1099–1106. (The Combustion Inst.: Pittsburgh, PA)

Pyne SJ (1984) ‘Introduction to Wildland Fire.’ (Wiley: New York)

Santoni PA, Balbi JH , Dupuy JL (1999) Dynamic modelling of upslope fire growth. International Journal of Wildland Fire  9, 285–292.
Crossref | GoogleScholarGoogle Scholar | Sneeuwjagt RJ, Peet GB (1985) ‘Forest Fire Behaviour Tables for Western Australia.’ 3rd edn. (Department of Conservation and Land Management: Perth, WA)

Stewart J (1991) ‘Calculus.’ (Brooks-Cole Publishing: Belmont, CA)

Van Wagner CE (1977) Effect of slope on fire spread rate. Canadian Forestry Service Bimonthly Research Notes  33, 7–8.
Van Wagner CE, Pickett TL (1975) Equations and FORTRAN IV program for the 1976 metric version of the forest fire weather index. Environment Canada, Forestry Service Information Report PS-X-58. (Chalk River, ON)

Viegas DX (2002) Fire line rotation as a mechanism for fire spread on a uniform slope. International Journal of Wildland Fire  11, 11–23.
Crossref | GoogleScholarGoogle Scholar | Weber RO (2001) Wildland fire spread models. In ‘Forest Fires. Behavior and Ecological Effects’. (Eds EA Johnson, K Miyanishi) pp. 151–169. (Academic Press: San Diego, CA)

Weise DR (1993) Modelling wind and slope-induced wildland fire behaviour. PhD Thesis, University of California, Berkeley.

Weise DR , Biging GS (1997) A qualitative comparison of fire spread models incorporating wind and slope effects. Forest Science  43, 170–180.