Uncertainty associated with model predictions of surface and crown fire rates of spread

The degree of accuracy in model predictions of rate of spread in wildland fires is dependent on the model's applicability to a given situation, the validity of the model's relationships, and the reliability of the model input data. On the basis of a compilation of 49 fire spread model evaluation datasets involving 1278 observations in seven different fuel type groups, the limits on the predictability of current operational models are examined. Only 3% of the predictions (i.e. 35 out of 1278) were considered to be exact predictions according to the criteria used in this study. Mean percent error varied between 20 and 310% and was homogeneous across fuel type groups. Slightly more than half of the evaluation datasets had mean errors between 51 and 75%. Under-prediction bias was prevalent in 75% of the 49 datasets analysed. A case is made for suggesting that a ?35% error interval (i.e. approximately one standard deviation) would constitute a reasonable standard for model performance in predicting a wildland fire's forward or heading rate of spread. We also found that empirical-based fire behaviour models developed from a solid foundation of field observations and well accepted functional forms adequately predicted rates of fire spread far outside of the bounds of the original dataset used in their development. We examined error statistics of operational wildland fire spread models.We compiled 49 fire spread model evaluation datasets involving 1278 observations.Mean percent error varied between 20 and 310% and was homogeneous across fuel type groups.The analysis suggests that a ?35% error interval is a reasonable standard for model adequacy.

[1]  D. Weise,et al.  Entrainment regimes and flame characteristics of wildland fires , 2012 .

[2]  D. Quintilio Fire spread and impact in lodgepole pine slash , 1972 .

[3]  F. Albini,et al.  Predicting fire behavior in palmetto-gallberry fuel complexes , 1978 .

[4]  A. Sullivan,et al.  Wildland surface fire spread modelling, 1990–2007. 2: Empirical and quasi-empirical models , 2007, 0706.4128.

[5]  D. Engle,et al.  BEHAVE-EVALUATED FOR PRESCRIBED FIRE PLANNING IN MOUNTAINOUS OAK-SHORTLEAF PINE HABITATS , 1994 .

[6]  Bruce Lawson Fire spread in lodgepole pine stands , 1972 .

[7]  R. McAlpine,et al.  The effect of fire front width on surface fire behaviour , 1999 .

[8]  E. Saxon Anticipating the inevitable : a patch-burn strategy for fire management at Uluru (Ayers Rock-Mt Olga) National Park , 1984 .

[9]  C. E. Van Wagner,et al.  Height of Crown Scorch in Forest Fires , 1973 .

[10]  C. Willmott Some Comments on the Evaluation of Model Performance , 1982 .

[11]  Andrew L. Sullivan,et al.  Grassfires: Fuel, Weather and Fire Behaviour , 2009 .

[12]  R. Sneeuwjagt,et al.  Behavior of experimental grass fires vs. predictions based on Rothermel's fire model , 1977 .

[13]  Wilson,et al.  EFFECTS OF FUEL REDUCTION BURNING IN A DRY SCLEROPHYLL FOREST A Summary of Principal Research Findings and their Management Implications , 2003 .

[14]  A. Sullivan A review of wildland fire spread modelling, 1990-present, 1: Physical and quasi-physical models , 2007, 0706.3074.

[15]  J. S. Gould,et al.  Predicting fire behaviour in dry eucalypt forest in southern Australia , 2012 .

[16]  Jonathan D. Beezley,et al.  Assimilation of Perimeter Data and Coupling with Fuel Moisture in a Wildland Fire-Atmosphere DDDAS , 2012, ICCS.

[17]  Scott L. Stephens,et al.  Measuring the Rate of Spread of Chaparral Prescribed fires in Northern California , 2008 .

[18]  G. Xanthopoulos,et al.  Fire behaviour of the large fires of 2007 in Greece , 2010 .

[19]  J. Gould Evaluation of McArthur's control burning guide in regrowth Eucalyptus sieberi forest , 1994 .

[20]  R. S. Mcalpine,et al.  Predicted vs Observed Fire Spread Rates in Ponderosa Pine Fuel Beds: A Test of American and Canadian Systems , 1989 .

[21]  R. C. Rothermel,et al.  Fire Behavior Experiments in Mixed Fuel Complexes , 1993 .

[22]  Patricia L. Andrews,et al.  Modeling wind adjustment factor and midflame wind speed for Rothermel's surface fire spread model , 2012 .

[23]  Stuart Matthews,et al.  Behind the flaming zone: Predicting woody fuel consumption in eucalypt forest fires in southern Australia , 2011 .

[24]  Miguel G. Cruz,et al.  Evaluating a model for predicting active crown fire rate of spread using wildfire observations , 2006 .

[25]  T. Beer,et al.  Bushfire rate‐of‐spread forecasting: Deterministic and statistical approaches to fire modelling , 1991 .

[26]  P. Fernandes,et al.  Fire behaviour and severity in a maritime pine stand under differing fuel conditions , 2004 .

[27]  M. G. Cruz,et al.  Limitations on the accuracy of model predictions of wildland fire behaviour: A state-of-the-knowledge overview , 2013 .

[28]  James N. Long Fire management: the challenge of protection and use , 1986 .

[29]  L. A. Salazar,et al.  Display and interpretation of fire behavior probabilities for long-term planning , 1986 .

[30]  J. Hollis,et al.  Behind the flaming zone: predicting woody fuel , 2011 .

[31]  Jb Marsden-Smedley,et al.  Fire Behaviour Modelling in Tasmanian Buttongrass Moorlands .II. Fire Behaviour , 1995 .

[32]  Martin E. Alexander,et al.  Perspectives on experimental fires in Canadian forestry research , 1990 .

[33]  Neil Burrows Experimental development of a fire management model for Jarrah (Eucalyptus Marginata Donn ex Sm.) forest. , 2013 .

[34]  Martin E. Alexander,et al.  Variation in wind and crown fire behaviour in a northern jack pine - black spruce forest 1 , 2004 .

[35]  W.R. Anderson,et al.  Fire behaviour modelling in semi-arid mallee-heath shrublands of southern Australia , 2013, Environ. Model. Softw..

[36]  Charles W. McHugh,et al.  A Method for Ensemble Wildland Fire Simulation , 2011 .

[37]  Florian Pappenberger,et al.  Ensemble flood forecasting: a review. , 2009 .

[38]  Rob Dunn Our evolving present. , 2007, Scientific American.

[39]  W. C. Guenther,et al.  Analysis of variance , 1968, The Mathematical Gazette.

[40]  M. E. Alexander,et al.  Interdependencies between flame length and fireline intensity in predicting crown fire initiation and crown scorch height , 2012 .

[41]  N. Cheney,et al.  Fire Growth in Grassland Fuels , 1995 .

[42]  D. Weise,et al.  A laboratory-scale comparison of rate of spread model predictions using chaparral fuel beds – preliminary results , 2011 .

[43]  D. V. Sandberg,et al.  A conceptual framework for ranking crown fire potential in wildland fuelbeds , 2007 .

[44]  Isaac C. Grenfell,et al.  Piloted ignition of live forest fuels , 2012 .

[45]  Modeling Behavior of Prescribed Fires in Yosemite National Park , 1984 .

[46]  Jonathan D. Beezley,et al.  ENSEMBLE KALMAN FILTERS IN COUPLED ATMOSPHERE-SURFACE MODELS , 2009 .

[47]  N. Burrows,et al.  Fire behaviour in spinifex fuels on the Gibson Desert Nature Reserve, Western Australia , 1991 .

[48]  E. A. Catchpole,et al.  Modelling the spread of grass fires , 1982, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[49]  H. Anderson Aids to Determining Fuel Models for Estimating Fire Behavior , 1982 .

[50]  H. B. Clements,et al.  SCALE EFFECTS ON PROPAGATION RATE OF LABORATORY CRIB FIRES , 1963 .

[51]  C. E. Van Wagner,et al.  Conditions for the start and spread of crown fire , 1977 .

[52]  Boris Kompare,et al.  Environmental Modelling & Software , 2014 .

[53]  Kerry Anderson,et al.  Fire-growth modelling using meteorological data with random and systematic perturbations , 2007 .

[54]  D. C. Le Maitre,et al.  Fire Behaviour in South African Fynbos (Macchia) Vegetation and Predictions from Rothermel's Fire Model , 1985 .

[55]  Kevin G. Tolhurst,et al.  The effect of fireline intensity on woody fuel consumption in southern Australian eucalypt forest fires , 2011 .

[56]  R. A. Norum Predicting wildfire behavior in black spruce forests in Alaska. , 1982 .

[57]  Mark A. Finney,et al.  On the need for a theory of wildland fire spread , 2013 .

[58]  M. E. Alexander,et al.  Limitations on the accuracy of model predictions of wildland fire behaviour : A state-ofthe-knowledge overview by , 2013 .

[59]  Miguel G. Cruz,et al.  Modeling the Likelihood of Crown Fire Occurrence in Conifer Forest Stands , 2004, Forest Science.

[60]  N. Cheney,et al.  Prediction of Fire Spread in Grasslands , 1998 .

[61]  Minjeong Kim,et al.  Data assimilation for wildland fires , 2007, IEEE Control Systems.

[62]  Wildfire Case Study: Butte City Fire, Southeastern Idaho, July 1, 1994 , 1997 .

[63]  Range Experiment Station,et al.  Predicting fire spread in Arizona's oak chaparral , 1973 .

[64]  Gwilym Matthew Davies,et al.  Rate of spread of fires in Calluna vulgaris-dominated moorlands. , 2009 .

[65]  M. Owens,et al.  Examining fire behavior in mesquite–acacia shrublands , 2005 .

[66]  Miguel G. Cruz,et al.  Development and testing of models for predicting crown fire rate of spread in conifer forest stands , 2005 .

[67]  Francisco Rego,et al.  Empirical modelling of surface fire behaviour in maritime pine stands , 2009 .

[68]  Yves Bergeron,et al.  Role of vegetation and weather on fire behavior in the Canadian mixedwood boreal forest using two fire behavior prediction systems. , 2001 .

[69]  R. Benestad Tentative probabilistic temperature scenarios for northern Europe , 2004 .

[70]  Gary A. Morris,et al.  Rate of Spread of Free-Burning Fires in Woody Fuels in a Wind Tunnel , 1998 .

[71]  Range Experiment Station,et al.  Field test of a rate-of-fire-spread model in slash fuels / , 1972 .

[72]  J. Kevin Hiers,et al.  The wildland fuel cell concept: an approach to characterize fine-scale variation in fuels and fire in frequently burned longleaf pine forests , 2009 .

[73]  A. J. Van Wilgen,et al.  Fire behaviour prediction in savanna vegetation , 1988 .

[74]  Hugh E. Mobley,et al.  A guide for prescribed fire in southern forests , 1973 .

[75]  M. E. Alexander,et al.  A mathematical model for predicting the maximum potential spotting distance from a crown fire , 2012 .

[76]  Yuejian Zhu,et al.  Ensemble forecast: A new approach to uncertainty and predictability , 2005 .

[77]  M. E. Alexander,et al.  Crown fire behaviour in a northern jack pine-black spruce forest , 2004 .

[78]  Mark Fischetti,et al.  Predicting wildfires. , 2007, Scientific American.

[79]  Andrew L. Sullivan,et al.  Estimating error in wind speed measurements for experimental fires , 2001 .

[80]  F. Albini Estimating Wildfire Behavior and Effects , 1976 .

[81]  N. Burrows,et al.  Fuel Dynamics and Fire Spread in Spinifex Grasslands of the Western Desert , 2009, The Proceedings of the Royal Society of Queensland.

[82]  D. Middleton,et al.  Analysis of small-scale convective dynamics in a crown fire using infrared video camera imagery , 1999 .

[83]  Jb Marsden-Smedley,et al.  Fire Behaviour Modelling in Tasmanian Buttongrass Moorlands I. Fuel Characteristics , 1995 .

[84]  Js Gould,et al.  Existing fire behaviour models under-predict the rate of spread of summer fires in open jarrah (Eucalyptus marginata) forest , 2008 .

[85]  Paulo M. Fernandes,et al.  Shrubland Fire Behaviour Modelling with Microplot Data , 2000 .

[86]  Luis Samaniego,et al.  Technical assessment and evaluation of environmental models and software: Letter to the Editor , 2011, Environ. Model. Softw..

[87]  Martin E. Alexander,et al.  Elliptical-fire perimeter- and area-intensity distributions , 1992 .

[88]  Andrew A. G. Wilson Width of firebreak that is necessary to stop grass fires: some field experiments , 1988 .

[89]  LinnRodman,et al.  Incorporating field wind data into FIRETEC simulations of the International Crown Fire Modeling Experiment (ICFME): preliminary lessons learned , 2012 .

[90]  Miguel G. Cruz,et al.  Are the applications of wildland fire behaviour models getting ahead of their evaluation again? , 2013, Environ. Model. Softw..

[91]  H. Anderson Fire spread and flame shape , 1968 .

[92]  Paulo M. Fernandes,et al.  Development of fuel models for fire behaviour prediction in maritime pine (Pinus pinaster Ait.) stands , 2008 .

[93]  F. A. Albini,et al.  Response of Free-Burning Fires to Nonsteady Wind , 1982 .

[94]  N. Cheney,et al.  The Influence of Fuel, Weather and Fire Shape Variables on Fire-Spread in Grasslands , 1993 .

[95]  Miguel G. Cruz,et al.  Monte Carlo-based ensemble method for prediction of grassland fire spread , 2010 .

[96]  P. Brose Effects of Seasonal Prescribed Fires on Oak-dominated Shelterwood Stands , 1997 .