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

Forest fire risk assessment using point process modelling of fire occurrence and Monte Carlo fire simulation

Hyeyoung Woo A , Woodam Chung B E , Jonathan M. Graham C and Byungdoo Lee D
+ Author Affiliations
- Author Affiliations

A Department of Forest Management, The University of Montana, 32 Campus Drive, Missoula, MT 59812, USA.

B Department of Forest Engineering, Resources and Management, 267 Peavy Hall, Oregon State University, Corvallis, OR 97333, USA.

C Department of Mathematical Sciences, The University of Montana, 32 Campus Drive, Missoula, MT 59812, USA.

D National Institute of Forest Science, Hoegiro 57, Dongdaemun-gu, Seoul, 130-712, Republic of Korea.

E Corresponding author. Email: woodam.chung@oregonstate.edu

International Journal of Wildland Fire 26(9) 789-805 https://doi.org/10.1071/WF17021
Submitted: 4 February 2017  Accepted: 20 June 2017   Published: 31 August 2017

Abstract

Risk assessment of forest fires requires an integrated estimation of fire occurrence probability and burn probability because fire spread is largely influenced by ignition locations as well as fuels, weather, topography and other environmental factors. This study aims to assess forest fire risk over a large forested landscape using both fire occurrence and burn probabilities. First, we use a spatial point processing method to generate a fire occurrence probability surface. We then perform a Monte Carlo fire spread simulation using multiple fire ignition points generated from the fire occurrence surface to compute burn probability across the landscape. Potential loss per land parcel due to forest fire is assessed as the combination of burn probability and government-appraised property values. We applied our methodology to the municipal boundary of Gyeongju in the Republic of Korea. The results show that the density of fire occurrence is positively associated with low elevation, moderate slope, coniferous land cover, distance to roads, high density of tombs and interaction among fire ignition locations. A correlation analysis among fire occurrence probability, burn probability, land property value and potential value loss indicates that fire risk in the study landscape is largely associated with the spatial pattern of burn probability.

Additional keywords: fire behaviour, fire simulation modelling, ignition, propagation.


References

Adelfio G, Schoenberg FP (2009) Point process diagnostics based on weighted second-order statistics and their asymptotic properties. Annals of the Institute of Statistical Mathematics 61, 929–948.
Point process diagnostics based on weighted second-order statistics and their asymptotic properties.Crossref | GoogleScholarGoogle Scholar |

Ager AA, Finney MA, Kerns BK, Maffei H (2007) Modeling wildfire risk to northern spotted owl (Strix occidentalis caurina) habitat in central Oregon, USA. Forest Ecology and Management 246, 45–56.
Modeling wildfire risk to northern spotted owl (Strix occidentalis caurina) habitat in central Oregon, USA.Crossref | GoogleScholarGoogle Scholar |

Alexander ME (1985) Estimating the length-to-breadth ratio of elliptical forest fire patterns. In ‘Proceedings of the 8th conference on fire and forest meteorology’, 29 April–2 May 1985, Detroit, Michigan, USA. (Eds LR Donoghue, RE Martin) pp. 287–304. (SAF publication: Bethesda, MD, USA).

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, 372–383.
Limitations on the accuracy of model predictions of wildland fire behaviour: a state-of-the-knowledge overview.Crossref | GoogleScholarGoogle Scholar |

Baddeley A, Turner R (2000) Practical maximum pseudolikelihood for spatial point patterns. Australian & New Zealand Journal of Statistics 42, 283–322.
Practical maximum pseudolikelihood for spatial point patterns.Crossref | GoogleScholarGoogle Scholar |

Baddeley A, Turner R (2006) Modelling spatial point patterns in R. In ‘Case studies in spatial point process modeling’. (Eds A Baddeley, P Gregori, J Mateu, R Stoica, D Stoyan) pp. 23–74. (Springer-Verlag: New York, NY, USA)

Baddeley A, Turner R, Møller J, Hazelton M (2005) Residual analysis for spatial point processes. Journal of the Royal Statistical Society. Series B. Methodological 67, 617–666.
Residual analysis for spatial point processes.Crossref | GoogleScholarGoogle Scholar |

Baddeley A, Rubak E, Turner R (2015) ‘Spatial point patterns: methodology and applications with R.’ (Chapman and Hall/CRC Press: London, UK).

Bar Massada A, Radeloff VC, Stewart SI, Hawbaker TJ (2009) Wildfire risk in the wildland–urban interface: a simulation study in north-western Wisconsin. Forest Ecology and Management 258, 1990–1999.
Wildfire risk in the wildland–urban interface: a simulation study in north-western Wisconsin.Crossref | GoogleScholarGoogle Scholar |

Besag JE (1977) Comments on Ripley’s paper. Journal of the Royal Statistical Society. Series B. Methodological 39, 193–195.

Bessie WC, Johnson EA (1995) The relative importance of fuels and weather on fire behavior in subalpine forests. Ecology 76, 747–762.
The relative importance of fuels and weather on fire behavior in subalpine forests.Crossref | GoogleScholarGoogle Scholar |

Bradley AF, Noste NV, Fischer WC (1992) Fire ecology of forests and woodlands in Utah. USDA Forest Service, Intermountain Research Station, General Technical Report INT-287. (Ogden, UT, USA)

Braun WJ, Jones BL, Lee JS, Woolford DG, Wotton BM (2010) Forest fire risk assessment: an illustrative example from Ontario, Canada. Journal of Probability and Statistics 2010, Article ID 823018
Forest fire risk assessment: an illustrative example from Ontario, Canada.Crossref | GoogleScholarGoogle Scholar |

Brillinger DR, Preisler HK, Benoit JW (2006) Probabilistic risk assessment for wildfires. Environmetrics 17, 623–633.
Probabilistic risk assessment for wildfires.Crossref | GoogleScholarGoogle Scholar |

Cardille JA, Ventura SJ, Turner MG (2001) Environmental and social factors influencing wildfires in the Upper Midwest, United States. Ecological Applications 11, 111–127.
Environmental and social factors influencing wildfires in the Upper Midwest, United States.Crossref | GoogleScholarGoogle Scholar |

Carmel Y, Paz S, Jahashan F, Shoshany M (2009) Assessing fire risk using Monte Carlo simulations of fire spread. Forest Ecology and Management 257, 370–377.
Assessing fire risk using Monte Carlo simulations of fire spread.Crossref | GoogleScholarGoogle Scholar |

Catry FX, Rego FC, Bação FL, Moreira F (2009) Modeling and mapping wildfire ignition risk in Portugal. International Journal of Wildland Fire 18, 921–931.
Modeling and mapping wildfire ignition risk in Portugal.Crossref | GoogleScholarGoogle Scholar |

Chou YH, Minnich RA, Chase RA (1993) Mapping probability of fire occurrence in San Jacinto Mountains, California, USA. Environmental Management 17, 129–140.
Mapping probability of fire occurrence in San Jacinto Mountains, California, USA.Crossref | GoogleScholarGoogle Scholar |

Cruz MG, Alexander ME (2013) Uncertainty associated with model predictions of surface and crown fire rates of spread. Environmental Modelling & Software 47, 16–28.
Uncertainty associated with model predictions of surface and crown fire rates of spread.Crossref | GoogleScholarGoogle Scholar |

Daley DJ, Vere-Jones D (2007) ‘An introduction to the theory of point processes. Volume II: general theory and structure.’ (Springer: New York, NY, USA)

Donovan GH, Champ PA, Butry DT (2007) Wildfire risk and housing prices: a case study from Colorado Springs. Land Economics 83, 217–233.
Wildfire risk and housing prices: a case study from Colorado Springs.Crossref | GoogleScholarGoogle Scholar |

Finney MA (2005) The challenge of quantitative risk analysis for wildland fire. Forest Ecology and Management 211, 97–108.
The challenge of quantitative risk analysis for wildland fire.Crossref | GoogleScholarGoogle Scholar |

Finney MA, McHugh CW, Grenfell IC, Riley KL, Short KC (2011) A simulation of probabilistic wildfire risk components for the continental United States. Stochastic Environmental Research and Risk Assessment 25, 973–1000.
A simulation of probabilistic wildfire risk components for the continental United States.Crossref | GoogleScholarGoogle Scholar |

Garcia CV, Woodard PM, Titus SJ, Adamowicz WL, Lee BS (1995) A logit model for predicting the daily occurrence of human caused forest-fires. International Journal of Wildland Fire 5, 101–111.
A logit model for predicting the daily occurrence of human caused forest-fires.Crossref | GoogleScholarGoogle Scholar |

Genton MG, Butry DT, Gumpertz ML, Prestemon JP (2006) Spatiotemporal analysis of wildfire ignitions in the St Johns River Water Management District, Florida. International Journal of Wildland Fire 15, 87–97.
Spatiotemporal analysis of wildfire ignitions in the St Johns River Water Management District, Florida.Crossref | GoogleScholarGoogle Scholar |

Geyer CJ, Møller J (1994) Simulation procedures and likelihood inference for spatial point processes. Scandinavian Journal of Statistics 21, 359–373.

Gordon JS, Clements RA, Schoenberg FP, Schorlemmer D (2015) Voronoi residuals and other residual analyses applied to CSEP earthquake forecasts. Spatial Statistics 14, 133–150.
Voronoi residuals and other residual analyses applied to CSEP earthquake forecasts.Crossref | GoogleScholarGoogle Scholar |

Gyeongju-si (2012) ‘Statistical yearbook of Gyeongju 2011.’ (City of Gyeongju: Republic of Korea)

Hering AS, Bell CL, Genton MG (2009) Modeling spatiotemporal wildfire ignition point patterns. Environmental and Ecological Statistics 16, 225–250.
Modeling spatiotemporal wildfire ignition point patterns.Crossref | GoogleScholarGoogle Scholar |

Huang F, Ogata Y (2002) Generalized pseudo-likelihood estimates for Markov random fields on lattice. Annals of the Institute of Statistical Mathematics 54, 1–18.
Generalized pseudo-likelihood estimates for Markov random fields on lattice.Crossref | GoogleScholarGoogle Scholar |

Juan P, Mateu J, Saez M (2012) Pinpointing spatiotemporal interactions in wildfire patterns. Stochastic Environmental Research and Risk Assessment 26, 1131–1150.
Pinpointing spatiotemporal interactions in wildfire patterns.Crossref | GoogleScholarGoogle Scholar |

Korea Forest Service (2011) ‘Statistical yearbook of forestry 2011.’ (City of Daejeon: Republic of Korea)

Korea Forest Service (2012) ‘Statistical yearbook of forestry 2012.’ (City of Daejeon: Republic of Korea)

LaCroix JJ, Ryu SR, Zheng D, Chen J (2006) Simulating fire spread with landscape management scenarios. Forest Science 52, 522–529.

Lee BD, Lee YH, Lee MB, Albers HJ (2011) Stochastic simulation model of fire occurrence in the Republic of Korea. Journal of Korean Forestry Society 100, 70–78.

Legendre P (1993) Spatial autocorrelation: trouble or new paradigm? Ecology 74, 1659–1673.
Spatial autocorrelation: trouble or new paradigm?Crossref | GoogleScholarGoogle Scholar |

Liu Y, Stanturf J, Goodrick S (2010) Trends in global wildfire potential in a changing climate. Forest Ecology and Management 259, 685–697.
Trends in global wildfire potential in a changing climate.Crossref | GoogleScholarGoogle Scholar |

Mase S (1995) Consistency of the maximum pseudo-likelihood estimator of continuous state space Gibbsian processes. Annals of Applied Probability 5, 603–612.
Consistency of the maximum pseudo-likelihood estimator of continuous state space Gibbsian processes.Crossref | GoogleScholarGoogle Scholar |

Mbow C, Goïta K, Bénié GB (2004) Spectral indices and fire behavior simulation for fire risk assessment in savanna ecosystems. Remote Sensing of Environment 91, 1–13.
Spectral indices and fire behavior simulation for fire risk assessment in savanna ecosystems.Crossref | GoogleScholarGoogle Scholar |

McCaffrey S (Ed.) (2006) What does ‘wildfire risk’ mean to the public? The public and wildland fire management: social science findings for managers. USDA Forest Service, Northern Research Station, General Technical Report NRS-1. (Newton Square, PA, USA)

Mueller J, Loomis J, González-Cabán A (2009) Do repeated wildfires change homebuyers’ demand for homes in high-risk areas? A hedonic analysis of the short and long-term effects of repeated wildfires on house prices in southern California. The Journal of Real Estate Finance and Economics 38, 155–172.
Do repeated wildfires change homebuyers’ demand for homes in high-risk areas? A hedonic analysis of the short and long-term effects of repeated wildfires on house prices in southern California.Crossref | GoogleScholarGoogle Scholar |

Ohlson DW, Berry TM, Gray RW, Blackwell BA, Hawkes BC (2006) Multi-attribute evaluation of landscape-level fuel management to reduce wildfire risk. Forest Policy and Economics 8, 824–837.
Multi-attribute evaluation of landscape-level fuel management to reduce wildfire risk.Crossref | GoogleScholarGoogle Scholar |

Papangelou F (1972) Integrability of expected increments of point processes and a related random change of scale. Transactions of the American Mathematical Society 165, 483–506.
Integrability of expected increments of point processes and a related random change of scale.Crossref | GoogleScholarGoogle Scholar |

Pearce JL, Boyce MS (2006) Modelling distribution and abundance with presence‐only data. Journal of Applied Ecology 43, 405–412.
Modelling distribution and abundance with presence‐only data.Crossref | GoogleScholarGoogle Scholar |

Peng RD, Schoenberg FP, Woods JA (2005) A space–time conditional intensity model for evaluating a wildfire hazard index. Journal of the American Statistical Association 100, 26–35.
A space–time conditional intensity model for evaluating a wildfire hazard index.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2sXlsVajurw%3D&md5=256f96fa847ced57f29e20b058a54da6CAS |

Perry GL, Miller BP, Enright NJ (2006) A comparison of methods for the statistical analysis of spatial point patterns in plant ecology. Plant Ecology 187, 59–82.
A comparison of methods for the statistical analysis of spatial point patterns in plant ecology.Crossref | GoogleScholarGoogle Scholar |

Pew KL, Larsen CPS (2001) GIS analysis of spatial and temporal patterns of human-caused wildfires in the temperate rain forest of Vancouver Island, Canada. Forest Ecology and Management 140, 1–18.
GIS analysis of spatial and temporal patterns of human-caused wildfires in the temperate rain forest of Vancouver Island, Canada.Crossref | GoogleScholarGoogle Scholar |

Podur J, Martell DL, Csillag F (2003) Spatial patterns of lightning-caused forest fires in Ontario, 1976–1998. Ecological Modelling 164, 1–20.
Spatial patterns of lightning-caused forest fires in Ontario, 1976–1998.Crossref | GoogleScholarGoogle Scholar |

Preisler HK, Brillinger DR, Burgan RE, Benoit JW (2004) Probability based models for estimation of wildfire risk. International Journal of Wildland Fire 13, 133–142.
Probability based models for estimation of wildfire risk.Crossref | GoogleScholarGoogle Scholar |

Preisler HK, Westerling AL, Gebert KM, Munoz-Arriola F, Holmes TP (2011) Spatially explicit forecasts of large wildland fire probability and suppression costs for California. International Journal of Wildland Fire 20, 508–517.
Spatially explicit forecasts of large wildland fire probability and suppression costs for California.Crossref | GoogleScholarGoogle Scholar |

Richards GD (1990) An elliptical growth model of forest fire fronts and its numerical solution. International Journal for Numerical Methods in Engineering 30, 1163–1179.
An elliptical growth model of forest fire fronts and its numerical solution.Crossref | GoogleScholarGoogle Scholar |

Ripley BD (Ed.) (1991) ‘Statistical inference for spatial processes.’ (Cambridge University Press: New York, NY, USA)

Schmidt DA, Taylor AH, Skinner CN (2008) The influence of fuels treatment and landscape arrangement on simulated fire behavior, Southern Cascade Range, California. Forest Ecology and Management 255, 3170–3184.
The influence of fuels treatment and landscape arrangement on simulated fire behavior, Southern Cascade Range, California.Crossref | GoogleScholarGoogle Scholar |

Stephens SL (1998) Evaluation of the effects of silvicultural and fuels treatments on potential fire behaviour in Sierra Nevada mixed-conifer forests. Forest Ecology and Management 105, 21–35.
Evaluation of the effects of silvicultural and fuels treatments on potential fire behaviour in Sierra Nevada mixed-conifer forests.Crossref | GoogleScholarGoogle Scholar |

Stoyan D, Penttinen A (2000) Recent applications of point process methods in forestry statistics. Statistical Science 15, 61–78.

Syphard AD, Radeloff VC, Keuler NS, Taylor RS, Hawbaker TJ, Stewart SI, Clayton MK (2008) Predicting spatial patterns of fire on a southern California landscape. International Journal of Wildland Fire 17, 602–613.
Predicting spatial patterns of fire on a southern California landscape.Crossref | GoogleScholarGoogle Scholar |

Taylor SW, Woolford DG, Dean CB, Martell DL (2013) Wildfire prediction to inform management: statistical science challenges. Statistical Science 28, 586–615.
Wildfire prediction to inform management: statistical science challenges.Crossref | GoogleScholarGoogle Scholar |

Thompson MP, Calkin DE (2011) Uncertainty and risk in wildland fire management: a review. Journal of Environmental Management 92, 1895–1909.
Uncertainty and risk in wildland fire management: a review.Crossref | GoogleScholarGoogle Scholar |

Turner R (2009) Point patterns of forest fire locations. Environmental and Ecological Statistics 16, 197–223.
Point patterns of forest fire locations.Crossref | GoogleScholarGoogle Scholar |

Tutsch M, Haider W, Beardmore B, Lertzman K, Cooper AB, Walker RC (2010) Estimating the consequences of wildfire for wildfire risk assessment, a case study in the southern Gulf Islands, British Columbia, Canada. Canadian Journal of Forest Research 40, 2104–2114.
Estimating the consequences of wildfire for wildfire risk assessment, a case study in the southern Gulf Islands, British Columbia, Canada.Crossref | GoogleScholarGoogle Scholar |

Vega-García C, Woodard PM, Lee BS (1993) Geographic and temporal factors that seem to explain human-caused fire occurrence in Whitecourt Forest, Alberta. In ‘GIS ’93: 7th Annual Symposium on Geographic Information Systems in Forestry, Environment and Natural Resources Management’, 15–18 February 1993, Vancouver, British Columbia, Canada. pp. 115–119.

Warton DI, Shepherd LC (2010) Poisson point process models solve the ‘pseudo-absence problem’ for presence-only data in ecology. The Annals of Applied Statistics 4, 1383–1402.
Poisson point process models solve the ‘pseudo-absence problem’ for presence-only data in ecology.Crossref | GoogleScholarGoogle Scholar |

Yang J, He HS, Shifley SR, Gustafson EJ (2007) Spatial patterns of modern period human-caused fire occurrence in the Missouri Ozark highlands. Forest Science 53, 1–15.

Yue YR, Loh JM (2015) Variable selection for inhomogeneous spatial point process models. The Canadian Journal of Statistics 43, 288–305.
Variable selection for inhomogeneous spatial point process models.Crossref | GoogleScholarGoogle Scholar |