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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

An optimisation modelling approach to seasonal resource allocation for planned burning

Andrew Higgins A D , Stuart Whitten B , Alen Slijepcevic C , Liam Fogarty C and Luis Laredo A
+ Author Affiliations
- Author Affiliations

A CSIRO Ecosystems Sciences, 41 Boggo Road, Dutton Park, QLD 4102, Australia. Email: luis.laredo@csiro.au

B CSIRO Ecosystems Sciences, GPO Box 284, Canberra, ACT 2601, Australia. Email: stuart.whitten@csiro.au

C Department of Sustainability and Environment, Level 4, 8 Nicholson Street, East Melbourne, VIC 3002, Australia. Email: alen.slijepcevic@dse.vic.gov.au; liam.fogarty@dse.vic.gov.au

D Corresponding author. Email: andrew.higgins@csiro.au

International Journal of Wildland Fire 20(2) 175-183 https://doi.org/10.1071/WF09103
Submitted: 21 September 2009  Accepted: 16 July 2010   Published: 30 March 2011

Abstract

Burning of fine fuels is a crucial activity in Australia as part of reducing the severity of bushfires. Seasonal planning of such planned burning is a very complex task owing to the large number of practical considerations and uncertainty of burn conditions, as well as personnel and equipment resource constraints. Practical considerations include the small number of suitable burn days for different types of burns, as well as different fuel hazard and burn types. This requires careful management of very high resource requirements during the available days. We developed a tool that will use all of the above variables to estimate the resource requirements for different levels of planned burning program. We provide a mathematical programming approach to help plan burning crews and equipment resource requirements in each district by month to minimise likely personnel requirements, under seasonal uncertainty. A key feature is that it accommodates maximum daily resource demands given uncertainty in available burn days and overlap between geographical districts. We implemented the model on a real-world problem of public land across Victoria, and solved it to optimality using GAMS/Cplex 9.

Additional keywords: mathematical programming, resource scheduling.


References

Brooke A, Kendrick D, Meeraus A, Raman R (1998) ‘GAMS: a User’s Guide.’ (GAMS Development Corporation: Washington, DC)

Calkin DE, Hummel SS, Agee JK (2005) Modeling trade-offs between fire threat reduction and late-seral forest structure. Canadian Journal of Forest Research 35, 2562–2574.
Modeling trade-offs between fire threat reduction and late-seral forest structure.Crossref | GoogleScholarGoogle Scholar |

Donovan GH, Rideout DB (2003) An integer programming model to optimise resource allocation for wildfire containment. Forest Science 49, 331–335..

DSE (2006) ‘Code of Practice for Fire Management on Public Land. Revision No. 1.’ (Department of Sustainability and Environment: Melbourne)

Englin J, Boxall P, Hauer G (2000) An empirical examination of optimal rotations in multiple-use forest in the presence of fire risk. Journal of Agricultural and Resource Economics 25, 14–27..

Konoshima M, Montgomery CA, Albers HJ, Arthur JL (2008) Spatial-endogenous fire risk and efficient fuel management and timber harvest. Land Economics 84, 449–468..

Martell DL (1982) A review of operational research studies in forest fire management. Canadian Journal of Forest Research 12, 119–140.
A review of operational research studies in forest fire management.Crossref | GoogleScholarGoogle Scholar |

Martell DL, Gunn EA, Weintraub A (1998) Forest management challenges for operational researchers. European Journal of Operational Research 104, 1–17.
Forest management challenges for operational researchers.Crossref | GoogleScholarGoogle Scholar |

McAneney J, Chen KP, Pitman A (2009) 100 years of Australian bushfire property losses: is the risk significant and is it increasing? Journal of Environmental Management 90, 2819–2822.
100 years of Australian bushfire property losses: is the risk significant and is it increasing?Crossref | GoogleScholarGoogle Scholar | 19410362PubMed |

McCarthy GJ, Tolhurst KG (1998) Effectiveness of firefighting first attack operations by the Department of Natural Resources and Environment from 1991/92–1994/95. Department of Natural Resources and Environment, Fire Management, Research Report No. 45. (Melbourne)

Plucinski M, Gould J, McCarthy G, Hollis J (2007) The effectiveness and efficiency of aerial firefighting in Australia, Part 1. Bushfire CRC, Technical Report A0701. (Melbourne)

Tolhurst KG, Cheney NP (1999) ‘Synopsis of the Knowledge Used in Prescribed Burning in Victoria.’ (Department of Natural Resources and Environment: Melbourne)

Victorian Bushfires Royal Commission (2009) Victorian Bushfires Royal Commission Interim Report. Available at http://www.royalcommission.vic.gov.au/Commission-Reports [Verified 2 March 2011]

Wei Y, Rideout DB, Kirsch A (2008) An optimization model for locating fuel treatments across a landscape to reduce expected fire losses. Canadian Journal of Forest Research 38, 868–877.
An optimization model for locating fuel treatments across a landscape to reduce expected fire losses.Crossref | GoogleScholarGoogle Scholar |

Yoder J (2004) Playing with fire: endogenous risk in resource management. American Journal of Agricultural Economics 86, 933–948.
Playing with fire: endogenous risk in resource management.Crossref | GoogleScholarGoogle Scholar |