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A Bayesian Modelling of Wildfires in Portugal

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Part of the book series: CIM Series in Mathematical Sciences ((CIMSMS,volume 1))

Abstract

In the last decade wildfires became a serious problem in Portugal due to socieconomic and climate change trends. In order to analyse wildfire data, we employ beta regression for modelling the proportion of burned wild area, under a Bayesian perspective. Our main goal is to find out fire risk factors that influence the proportion of area burned and what may make a wild area susceptible or resistant to fire. Then, we analyse wildfire data in Portugal during 1990–1994 through Bayesian normal and beta regression models that use Markov chain Monte Carlo methods for estimating quantities of interest.

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References

  1. Amaral-Turkman, M.A., Silva, G.L.: Modelos Lineares Generalizados - da teoria à prática. SPE Edition, Lisbon (2000)

    Google Scholar 

  2. Amaral-Turkman, M.A., Turkman, K.F., Le Page, Y., Pereira, J.M.: Hierarchical space-time models for fire ignition and percentage of land burned by wildfires. Environ. Ecol. Stat. 18, 601–617 (2011)

    Article  MathSciNet  Google Scholar 

  3. Catry, F., Rego, F., Bação, F., Moreira, F.: Modelling and mapping wildfire ignition risk in Portugal. Int. J. Wildland Fire 18, 921–931 (2009)

    Article  Google Scholar 

  4. Espinheira, P.L., Ferrari, S.L.P., Cribari-Neto, F.: On beta regression residuals. J. Appl. Stat. 35, 407–419 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Fernandes, P., Luz, A., Loureiro, C., Ferreira-Godinho, P., Botelho, H.: Fuel modelling and fire hazard assessment based on data from Portuguese National Forest Inventory. For. Ecol. Manage. 234S, S229 (2006)

    Article  Google Scholar 

  6. Ferrari, S.L.P., Cribari-Neto, F.: Beta regression for modeling rates and proportions. J. Appl. Stat. 31, 799–815 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  7. Flannigan, M.D., Amiro, B.D., Logan, K.A., Stocks, B.J., Wotton, B.M.: Forest fires and climate change in the 21st century. Mitig. Adapt. Strat. Glob. Chang. 11, 847–859 (2005)

    Article  Google Scholar 

  8. Gelman, A., Carlin, J.B., Stern, H.S., Dunson, D.B., Vehtari, A., Rubin, D.B.: Bayesian Data Analysis, 3rd edn. CRC Press, London (2014)

    MATH  Google Scholar 

  9. Gomes, J.F.P.: Forest fires in Portugal: how they happen and why they happen. Int. J. Environ. Stud. 63, 109–119 (2006)

    Article  Google Scholar 

  10. González, J.R., Pukkala, T.: Characterization of forest fires in Catalonia (Northeast Spain). Eur. J. For. Res. 126, 421–429 (2007)

    Article  Google Scholar 

  11. Hoffman, M.D., Gelman, A.: The No-U-Turn sampler: adaptively setting path lengths in Hamiltonian Monte Carlo. arXiv 1111, 4246 (2011). http://arxiv.org/abs/1111.4246

  12. Lunn, D.J., Thomas, A., Best, N., Spiegelhalter, D.: WinBUGS – a Bayesian modelling framework: concepts, structure, and extensibility. Stat. Comput. 10, 325–337 (2000)

    Article  Google Scholar 

  13. Marques, S., Borges, J.G., Garcia-Gonzalo, J., Moreira, F., Carreiras, J.M.B., Oliveira, M.M., Cantarinha, A., Botequim, B., Pereira, J.M.C.: Characterization of wildfires in Portugal. Eur. J. For. Res. 130, 775–784 (2011)

    Article  Google Scholar 

  14. McCullagh, P., Nelder, J.A.: Generalized Linear Models, 2nd edn. CRC Press, Boca Raton (1989)

    Book  MATH  Google Scholar 

  15. Moreira, F., Rego, F.C., Godinho-Ferreira, P.: Temporal (1958–1995) pattern of change in a cultural landscape of northwestern Portugal: implications for fire occurrence. Landsc. Ecol. 16 557–567 (2001)

    Article  Google Scholar 

  16. Neal, R.: Handbook of Markov Chain Monte Carlo, Chap. 5: MCMC Using Hamiltonian Dynamics. CRC Press, Chichester (2011)

    Google Scholar 

  17. Paulino, C.D., Amaral-Turkman, M.A., Murteira, B.: Estatística Bayesiana. Fundação Calouste Gulbenkian, Lisboa (2003)

    Google Scholar 

  18. Pereira, M.G., Trigo, R.M., da Camara, C.C., Pereira, J.M.C., Leite, S.M.: Synoptic patterns associated with large summer forest fires in Portugal. Agr. Forest. Meteorol. 129, 11–25 (2005)

    Article  Google Scholar 

  19. Pereira, J.M.C., Carreiras, J.M.B., Silva, J.M.N., Vasconcelos, M.J.: Alguns conceitos básicos sobre fogos rurais em Portugal. In: Pereira, J.S., Pereira, J.M.C., Rego, F.C., Silva, J.M.N., Silva, T.P. (eds.) Incêndios Florestais em Portugal, pp. 133–161. ISA Press, Lisboa (2006)

    Google Scholar 

  20. Stan Development Team.: Stan: A C++ Library for probability and sampling, Version 2.2. (2014). http://mc-stan.org/

  21. Watanabe, S.: Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory. J. Mach. Learn. Res. 11, 3571–3591 (2010)

    MathSciNet  MATH  Google Scholar 

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Acknowledgements

This paper was partially supported by the project PEst-OE/MAT/UI0006/ 2014 of the Fundação para a Ciência e a Tecnologia (FCT). We also thank FCT for funding the Post-Doctoral fellowship of Susete Marques “SFRH/BPD/96806/2013”. In addition the authors would like to thank the two referees for the valuable and comprehensive comments that have improved the final version of the paper.

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Correspondence to Giovani L. Silva .

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Silva, G.L., Soares, P., Marques, S., Dias, M.I., Oliveira, M.M., Borges, J.G. (2015). A Bayesian Modelling of Wildfires in Portugal. In: Bourguignon, JP., Jeltsch, R., Pinto, A., Viana, M. (eds) Dynamics, Games and Science. CIM Series in Mathematical Sciences, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-16118-1_38

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