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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

Determining the minimum sampling frequency for ground measurements of burn severity

Alexander W. Holmes A C , Christoph Rüdiger A , Sarah Harris B and Nigel Tapper B
+ Author Affiliations
- Author Affiliations

A Department of Civil Engineering, 23 College Walk, Monash University, Vic. 3800, Australia.

B School of Earth, Atmosphere and Environment, 9 Rainforest Walk, Monash University, Vic. 3800, Australia.

C Corresponding author. Email: alexander.holmes@monash.edu

International Journal of Wildland Fire 27(6) 387-395 https://doi.org/10.1071/WF17055
Submitted: 22 March 2017  Accepted: 17 April 2018   Published: 4 June 2018

Abstract

Understanding burn severity is essential to provide an overview of the precursory conditions leading to fires as well as understanding the constraints placed on fire management services when mitigating their effects. Determining the minimum sampling frequency for ground measurements is not only essential for accurately assessing burn severity, but also for fire managers to better allocate resources and reduce the time and costs associated with sampling. In this study, field sampling methods for assessing burn severity are analysed statistically for 10 burn sites across Victoria, Australia, with varying spatial extents, topography and vegetation. Random and transect sampling methods are compared against each other using a Monte Carlo simulation to determine the minimum sample size needed for a difference of 0.02 (2%) in the severity classes proportions relative to the population proportions. We show that, on average, transect sampling requires a sampling rate of 3.16% compared with 0.59% for random sampling. We also find that sites smaller than 400 ha require a sampling rate of between 1.4 and 2.8 times that of sites larger than 400 ha to achieve the same error. The information obtained from this study will assist fire managers to better allocate resources for assessing burn severity.

Additional keywords: fire, Monte Carlo, sample size, vegetation.


References

Arnett JTTR, Coops NC, Daniels LD, Falls RW (2015) Detecting forest damage after a low-severity fire using remote sensing at multiple scales. International Journal of Applied Earth Observation and Geoinformation 35, 239–246.
Detecting forest damage after a low-severity fire using remote sensing at multiple scales.Crossref | GoogleScholarGoogle Scholar |

Barabesi L, Fattorini L (2013) Random versus stratified location of transects or points in distance sampling: theoretical results and practical considerations. Environmental and Ecological Statistics 20, 215–236.
Random versus stratified location of transects or points in distance sampling: theoretical results and practical considerations.Crossref | GoogleScholarGoogle Scholar |

Boer M, Macfarlane C, Norris J, Sadler R, Wallace J, Grierson P (2008) Mapping burned areas and burn severity patterns in SW Australian eucalypt forest using remotely sensed changes in leaf area index. Remote Sensing of Environment 112, 4358–4369.
Mapping burned areas and burn severity patterns in SW Australian eucalypt forest using remotely sensed changes in leaf area index.Crossref | GoogleScholarGoogle Scholar |

Brewer KC, Winne CJ, Redmond RL, Opitz SW, Mangrich MV (2005) Classifying and mapping wildfire severity: a comparison of methods. Photogrammetric Engineering and Remote Sensing 71, 1311–1320.
Classifying and mapping wildfire severity: a comparison of methods.Crossref | GoogleScholarGoogle Scholar |

Chuvieco E, Riaño D, Danson FM, Martin P (2006) Use of a radiative transfer model to simulate the post-fire spectral response to burn severity. Journal of Geophysical Research. Biogeosciences 111, 1–15.

Cleveland WS, Devlin SJ (1988) Locally weighted regression: an approach to regression analysis by local fitting. Journal of the American Statistical Association 83, 596–610.
Locally weighted regression: an approach to regression analysis by local fitting.Crossref | GoogleScholarGoogle Scholar |

Cochran WG (1977) ‘Sampling techniques.’ (John Wiley & Sons: New York)

Cocke AE, Fulé PZ, Crouse JE (2005) Comparison of burn severity assessment using differenced normalized burn ratio and ground data. International Journal of Wildland Fire 14, 189–198.
Comparison of burn severity assessment using differenced normalized burn ratio and ground data.Crossref | GoogleScholarGoogle Scholar |

Cowles KM, Carlin BP (1996) Markov Chain Monte Carlo convergence diagnostics: a comparative review. Journal of the American Statistical Association 91, 883–904.
Markov Chain Monte Carlo convergence diagnostics: a comparative review.Crossref | GoogleScholarGoogle Scholar |

DEPI (Department of Primary Industries and Environment) (2013a) Methods used to map planned burn extent and severity within DEPI. DEPI Internal Report, Department of Primary Industries and Environment.

DEPI (Department of Primary Industries and Environment) (2013b) Remote sensing of fire severity for planned burns: development field assessment. DEPI Internal Report, Bushfire Monitoring, Evaluation and Research Unit.

Driels MR, Shin YS (2004) Determining the number of iterations for Monte Carlo simulations of weapon effectiveness. Department of Mechanical and Astronautical Engineering, Naval Postgraduate School, Monterey, CA, USA.

French NHF, Kasichke ES, Hall RJ, Murphy KA, Verbyla DL, Hoy EE, Allen JL (2008) Using Landsat data to assess fire and burn severity in the North American boreal forest region: an overview and summary of results. International Journal of Wildland Fire 17, 443–462.
Using Landsat data to assess fire and burn severity in the North American boreal forest region: an overview and summary of results.Crossref | GoogleScholarGoogle Scholar |

Hale ML, Burg TM, Steeves TE (2012) Sampling for microsatellite-based population genetic studies: 25 to 30 individuals per population is enough to accurately estimate allele frequencies. PLoS One 7, e45170
Sampling for microsatellite-based population genetic studies: 25 to 30 individuals per population is enough to accurately estimate allele frequencies.Crossref | GoogleScholarGoogle Scholar |

Keeley JE (2009) Fire intensity, fire severity and burn severity: a brief review and suggested usage. International Journal of Wildland Fire 18, 116–126.
Fire intensity, fire severity and burn severity: a brief review and suggested usage.Crossref | GoogleScholarGoogle Scholar |

Key CH, Benson NC (2006) Landscape assessment (LA) sampling and analysis methods. USDA Forest Service, General Technical Report RMRS-GTR-164-CD, pp. 1–55. (Fort Collins, CO, USA)

Kokaly RF, Rockwell BW, Haire SL, King TVV (2007) Characterization of post-fire surface cover, soils, and burn severity at the Cerro Grande Fire, New Mexico, using hyperspectral and multispectral remote sensing. Remote Sensing of Environment 106, 305–325.
Characterization of post-fire surface cover, soils, and burn severity at the Cerro Grande Fire, New Mexico, using hyperspectral and multispectral remote sensing.Crossref | GoogleScholarGoogle Scholar |

Metropolis N, Ulam S (1949) The Monte Carlo method. American Statistical Association Journal 44, 335–341.
The Monte Carlo method.Crossref | GoogleScholarGoogle Scholar |

Miller JD, Thode AE (2007) Quantifying burn severity in a heterogeneous landscape with a relative version of the delta Normalized Burn Ratio (dNBR). Remote Sensing of Environment 109, 66–80.
Quantifying burn severity in a heterogeneous landscape with a relative version of the delta Normalized Burn Ratio (dNBR).Crossref | GoogleScholarGoogle Scholar |

Olofsson P, Foody GM, Herold M, Stehman SV, Woodcock CE, Wulder MA (2014) Good practices for estimating area and assessing accuracy of land change. Remote Sensing of Environment 148, 42–57.
Good practices for estimating area and assessing accuracy of land change.Crossref | GoogleScholarGoogle Scholar |

Thompson SK (1987) Sample size for estimating multinomial proportions. The American Statistician 41, 42–46.

van Wagtendonk JW, Root RR, Key CH (2004) Comparison of AVIRIS and Landsat ETM+ detection capabilities for burn severity. Remote Sensing of Environment 92, 397–408.
Comparison of AVIRIS and Landsat ETM+ detection capabilities for burn severity.Crossref | GoogleScholarGoogle Scholar |