Detection of clusters using space–time scan statistics
Marj Tonini A B , Devis Tuia A and Frédéric Ratle AA Institute of Geomatics and Risk Analysis, University of Lausanne, Amphipôle, CH-1015 Lausanne, Switzerland.
B Corresponding author. Email: marj.tonini@unil.ch
International Journal of Wildland Fire 18(7) 830-836 https://doi.org/10.1071/WF07167
Submitted: 26 November 2007 Accepted: 22 January 2009 Published: 27 October 2009
Abstract
This paper aims at detecting spatio-temporal clustering in fire sequences using space–time scan statistics, a powerful statistical framework for the analysis of point processes. The methodology is applied to active fire detection in the state of Florida (US) identified by MODIS (Moderate Resolution Imaging Spectroradiometer) during the period 2003–06. Results of the present study show that statistically significant clusters can be detected and localized in specific areas and periods of the year. Three out of the five most likely clusters detected for the entire frame period are localized in the north of the state, and they cover forest areas; the other two clusters cover a large zone in the south, corresponding to agricultural land and the prairies in the Everglades. In order to analyze if the wildfires recur each year during the same period, the analyses have been performed separately for the 4 years: it emerges that clusters of forest fires are more frequent in hot seasons (spring and summer), while in the southern areas, they are widely present during the whole year. The recognition of overdensities of events and the ability to locate them in space and in time can help in supporting fire management and focussing on prevention measures.
Additional keywords: Florida, MODIS active fires.
Besag J , Newell J (1991) The detection of clusters in rare disease. J R Stat Soc A 154, 143–155.
| Crossref | GoogleScholarGoogle Scholar |
Genton MG, Butry DT, Gumpertz ML , Prestemon JP (2006) Spatio-temporal analysis of wildfire ignitions in the St Johns River Water Management District, Florida. International Journal of Wildland Fire 15, 87–97.
| Crossref | GoogleScholarGoogle Scholar |
Justice CO, Giglio L, Korontzi S, Owens J, Morisette JT , Roy D (2002) The MODIS fire products. Remote Sensing of Environment 83, 244–262.
| Crossref | GoogleScholarGoogle Scholar |
Kulldorff M, Athas W, Feuer E, Miller B , Key C (1998) Evaluating cluster alarms: a space–time scan statistic and brain cancer in Los Alamos. American Journal of Public Health 88, 1377–1380.
| Crossref | GoogleScholarGoogle Scholar | CAS | PubMed |
Moran PAP (1950) Notes on continuous stochastic phenomena. Biometrika 37, 17–23.
| CAS | PubMed |
Riitters KH , Coulston JW (2005) Hot spots of perforated forest in the eastern United States. Environmental Management 35, 483–492.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
Ripley BD (1977) Modelling spatial patterns. Journal of the Royal Statistical Society. Series B. Methodological 39, 172–212.
Rorig ML , Ferguson SA (1999) Characteristics of lighting and wildland fire ignition in the Pacific North-west. Journal of Applied Meteorology 38, 1565–1575.
| Crossref | GoogleScholarGoogle Scholar |
Schweitzer L (2006) Environmental justice and hazmat transport: a spatial analysis in southern California. Transportation Research Part D, Transport and Environment 11, 408–421.
| Crossref | GoogleScholarGoogle Scholar |
Shouls S, Congdon P , Curtis S (1996) Geographic variation in illness and mortality: the development of a relevant area typology for SAR districts. Health & Place 2, 139–155.
| Crossref | GoogleScholarGoogle Scholar |
Telesca L , Lasaponara R (2006) Emergence of temporal regimes in fire sequences. Physica A 360, 543–547.
| Crossref | GoogleScholarGoogle Scholar |
Telesca L, Amatulli G, Lasaponara R, Lovallo M , Santulli A (2005) Time-scaling properties in forest-fire sequences observed in Gargano area (southern Italy). Ecological Modelling. 185, 531–544.
| Crossref | GoogleScholarGoogle Scholar |
Tuia D, Ratle F, Lasaponara R, Telesca L , Kanevski M (2008) Scan statistics analysis of forest fire clusters. Communications in Nonlinear Science and Numerical Simulation 13(8), 1689–1694.
| Crossref |
Turnbull BW, Iwano EJ, Burnett WS, Howe HL , Clark LC (1990) Monitoring for clusters of disease: application to leukemia incidence in upstate New York. American Journal of Epidemiology 132, S136–S143.
| CAS | PubMed |
Witham CS , Oppenheimer C (2004) Mortality in England during the 1783–4 Laki Craters eruption. Bulletin of Volcanology 67, 15–26.
| Crossref | GoogleScholarGoogle Scholar |