Hierarchical space-time models for fire ignition and percentage of land burned by wildfires

Policy responses for local and global fire management as well as international green-gas inventories depend heavily on the proper understanding of the annual fire extend as well as its spatial variation across any given study area. Proper statistical models are important tools in quantifying these fire risks. We propose Bayesian methods to model jointly the probability of ignition and fire sizes in Australia and New Zeland. The data set on which we base our model and results consists of annual observations of several meteorological and topographical explanatory variables, together with the percentage of land burned over a grid with resolution of 1° across Austalia and New Zealand. Our model and conclusions bring improvements on the results reported by Russell-Smith et al. in Int J Wildland Fire, 16:361–377 (2007) based on a similar data set.

[1]  Luc Anselin,et al.  Do spatial effects really matter in regression analysis , 2005 .

[2]  Ana C. L. Sá,et al.  The pyrogeography of sub-Saharan Africa: a study of the spatial non-stationarity of fire–environment relationships using GWR , 2011, J. Geogr. Syst..

[3]  S. Breckle,et al.  Walter’s Vegetation of the Earth , 2002 .

[4]  S. Breckle,et al.  Walter's Vegetation of the earth : the ecological systems of the geo-biosphere , 2002 .

[5]  C. F. Sirmans,et al.  Nonstationary multivariate process modeling through spatially varying coregionalization , 2004 .

[6]  S. Fotheringham,et al.  Geographically Weighted Regression , 1998 .

[7]  A. Gelfand,et al.  Gaussian predictive process models for large spatial data sets , 2008, Journal of the Royal Statistical Society. Series B, Statistical methodology.

[8]  I. Prentice,et al.  Relationships among fire frequency, rainfall and vegetation patterns in the wet–dry tropics of northern Australia: an analysis based on NOAA‐AVHRR data , 2005 .

[9]  A. Gill,et al.  Bushfires 'down under': patterns and implications of contemporary Australian landscape burning , 2007 .

[10]  P. Xie,et al.  Global Precipitation: A 17-Year Monthly Analysis Based on Gauge Observations, Satellite Estimates, and Numerical Model Outputs , 1997 .

[11]  P. Legendre Spatial Autocorrelation: Trouble or New Paradigm? , 1993 .

[12]  Sw. Banerjee,et al.  Hierarchical Modeling and Analysis for Spatial Data , 2003 .

[13]  C. Robert,et al.  Bayesian Modeling Using WinBUGS , 2009 .

[14]  M. Moritz,et al.  Global Pyrogeography: the Current and Future Distribution of Wildfire , 2009, PloS one.

[15]  E. Sanderson,et al.  The Human Footprint and the Last of the Wild , 2002 .

[16]  A. Belward,et al.  GLC2000: a new approach to global land cover mapping from Earth observation data , 2005 .

[17]  Andrew Thomas,et al.  WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility , 2000, Stat. Comput..

[18]  S. Ly,et al.  What limits fire? An examination of drivers of burnt area in Southern Africa , 2008 .