Using hidden multi-state Markov models with multi-parameter volcanic data to provide empirical evidence for alert level decision-support

Journal of Volcanology and Geothermal Research

Volumn 153, Issue 1-2 SPEC. ISS., 2006, Pages 112-124

  Aspinall, W P ^a,e   Carniel, R ^b   Jaquet, O ^c   Woo, G ^a,d   Hincks, T ^e  

^a ASPINALL AND ASSOCIATES   (United Kingdom)

^b UNIVERSITY OF UDINE   (Italy)

^c AF Colenco Ltd   (Switzerland)

^d RISK MANAGEMENT SOLUTIONS   (United Kingdom)

^e UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Bayesian Belief Network; eruption forecasting; evidence science; hidden Markov model; volcanology

Indexed keywords

FORECASTING; MARKOV PROCESSES; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; STATISTICAL METHODS; VOLCANOES;

BAYESIAN BELIEF NETWORK; ERUPTION FORECASTING; EVIDENCE SCIENCE; HIDDEN MARKOV MODEL; VOLCANOLOGY;

SEISMOLOGY;

FORECASTING METHOD; HAZARD ASSESSMENT; MARKOV CHAIN; MODEL; PROBABILITY; VOLCANIC ERUPTION; VOLCANOLOGY;

EID: 33646365340     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2005.08.010     Document Type: Article

References (38)

1. Aspinall W.P., Miller A.D., Lynch L.L., Latchman J.L., Stewart R.C., White R.A., Power J.A., and Montserrat Volcano Observatory Staff. Soufrière Hills eruption, Montserrat, 1995-1997: volcanic earthquake locations and fault plane solutions. Geophys. Res. Lett. 25 (1998) 3397-3400
2. Aspinall W.P., Woo G., Voight B., and Baxter P.J. Evidence-based volcanology: application to eruption crises. J. Volcanol. Geotherm. Res. 128 1-3 (2003) 273-285
3. Aspinall W.P., Carniel R., Jaquet O., Woo G., and Hincks T. Using hidden multistate Markov models with multiparameter data to provide empirical evidence for volcanic crisis decision-support: the MULTIMO approach. Geophys. Res. Abstr. 6 (2004) 05955 (SRef-ID: 1607-7962/gra/EGU04-A-05955)
4. Avery B.J., and Henderson D.A. Fitting Markov chain models to discrete state series such as DNA sequences. Appl. Stat. 48 (1999) 53-61
5. Carniel, R., Di Cecca, M., Rouland, D., 2003. Ambrym, Vanuatu (July-August 2000): spectral and dynamical transitions on the hours-to-days timescale. J. Volcanol. Geotherm. Res., 128, 1-3: 1-13.
6. Carniel R., Di Cecca M., and Jaquet O. A user-friendly, dynamic web environment for remote data browsing and analysis of multiparametric geophysical data within the MULTIMO project. J. Volcanol. Geotherm. Res. 153 (2006) 80-96 10.1016/j.jvolgeores.2005.08.005
7. Carniel R., Ortiz R., and Di Cecca M. Spectral and dynamical hints on the timescale of preparation of the 5 April 2003 explosion at Stromboli Volcano. Can. J. Earth Sci. (2006) in press
8. Connor C.B., Sparks R.S.J., Mason R.M., Bonadonna C., and Young S.R. Exploring links between physical and probabilistic models of volcanic eruptions: the Soufriere Hills Volcano, Montserrat. Geophys. Res. Lett. 30 13 (2003) 1701 10.1029/2003GL017384
9. Cornelius R.R., and Voight B. Graphical and PC-software analysis of volcano eruption precursors according to the Materials Failure Forecast method (FFM). J. Volcanol. Geotherm. Res. 64 3-4 (1995) 295-320
10. Cox D.R., and Miller H.D. The Theory of Stochastic Processes (1965), Chapman and Hall, London
11. Feigenbaum J. A statistical analysis of log-periodic precursors to financial crashes. Quant. Finance 1 (2001) 346
12. Graps A., and Carniel R. Wavelets for seismology. Workshop European Seismological Commission "Seismic Signals Related to Volcanic Unrest", Pantelleria (Italy), 23-28 September 2003 (2003). http://earth.leeds.ac.uk/esc_wg/ http://earth.leeds.ac.uk/esc_wg/
13. Hornik K. The R FAQ (2004). 3-900051-01-1. http://www.ci.tuwien.ac.at/~hornik/R/ http://www.ci.tuwien.ac.at/~hornik/R/
14. Jackson C.H., Sharples L.D., Thompson S.G., Duffy S.W., and Couto E. Multistate Markov models for disease progression with classification error. J. R. Stat. Soc., D-The Statistician 52 2 (2003) 193-209
15. Jaquet O., and Carniel R. Stochastic modelling at Stromboli: a volcano with remarkable memory. J. Volcanol. Geotherm. Res. 105 (2001) 249-262
16. Jaquet O., and Carniel R. Multivariate stochastic modelling: towards forecasts of paroxysmal phases at Stromboli. J. Volcanol. Geotherm. Res. 128 (2003) 261-271
17. Jaquet O., Carniel R., Sparks R.S.J., Thompson G., Namar R., and Di Cecca M. DEVIN: a forecasting approach using stochastic methods applied to the Soufrière Hills Volcano. J. Volcanol. Geotherm. Res. 153 (2006) 97-111 10.1016/j.jvolgeores.2005.08.013
18. Kay R. A Markov model for analysing cancer markers and disease states in survival studies. Biometrics 42 (1986) 855-865
19. Kilburn C.R.J. Multiscale fracturing as a key to forecasting volcanic eruptions. J. Volcanol. Geotherm. Res. 125 3-4 (2003) 271-289
20. Kilburn C.R.J., and Voight B. Slow rock fracture as eruption precursor at Soufriere Hills Volcano, Montserrat. Geophys. Res. Lett. 25 19 (1998) 3665-3668
21. Langer H., Falsaperla S., and Thompson G. Application of artificial neural networks for the classification of the seismic transients at Soufrière Hills Volcano, Montserrat. Geophys. Res. Lett. 30 (2003) 2090 10.1029/2003GLO18082
22. Langer H., Falsaperla S., Powell T., and Thompson G. Automatic classification and a-posteriori analysis of seismic event identification at Soufrière Hills Volcano, Montserrat. J. Volcanol. Geotherm. Res. 153 (2006) 1-10 10.1016/j.jvolgeores.2005.08.012
23. MacDonald I.L., and Zucchini W. Hidden Markov and Other Models for Discrete-valued Time Series (1997), Chapman and Hall, London
24. Main, I.G., 1999. Applicability of time-to-failure analysis to accelerated strain before earthquakes and volcanic eruptions. Geophys. J. Int., 139(3): F1-F6(6).
25. Menand T., and Tait S.R. A phenonemological model for precursor volcanic eruptions. Nature 411 (2001) 678-680
26. Page E.S. An improvement to Wald's approximation for some properties of sequential tests. J. R. Stat. Soc., B-Society 16 (1954) 36-139
27. Powell T., and Neuberg J. Inter-dependency of seismic events and their parameters during different activity periods of the Soufriere Hills Volcano, Montserrat. Geophys. Res. Abstr. 6 (2004) 02904 (SRef-ID: 1607-7962/gra/EGU04-A-02904)
28. Qiu P., and Hawkins D. A nonparametric multivariate cumulative sum procedure for detecting shifts in all directions. J. R. Stat. Soc., D-The Statistician 52 2 (2003) 151-164
29. R Development Core Team. R: A Language and Environment for Statistical Computing (2004), R Foundation for Statistical Computing, Vienna, Austria. 3-900051-00-3. http://www.R-project.org http://www.R-project.org
30. Robertson R.E.A., Aspinall W.P., Herd R.A., Norton G.E., Sparks R.S.J., and Young S.R. The 1995-1998 eruption of Soufrière Hills Volcano, Montserrat, W.I. Philos. Trans. R. Soc. Lond. 358 (2000) 1619-1637
31. Rundle J.B., Klein W., Tiampo K., and Gross S. Linear pattern dynamics in nonlinear threshold systems. Phys. Rev., E 61 3 (2000) 2418-2431
32. Sandri L., Marzocchi W., and Zaccarelli L. A new perspective in identifying the precursory patterns of eruptions. Bull. Volcanol. 66 (2004) 263-275 10.1007/s00445-003-0309-7
33. In: Silverman B.W., and Vassilicos J.C. (Eds). Wavelets: The Key to Intermittent Information? (2000), Oxford University Press, Oxford 258 pp.
34. Vila J., Macià R., Kumar D., Ortiz R., Moreno H., and Corrieg A.M. Analysis of the unrest of active volcanoes by means of variations of the Base Level Noise Seismic Spectrum. J. Volcanol. Geotherm. Res. 153 (2006) 11-20 10.1016/j.jvolgeores.2005.10.011
35. Voight B. A method for prediction of volcanic eruptions. Nature 332 (1988) 125-130
36. Voight B., and Cornelius R.R. Prospects for eruption prediction in near real-time. Nature 350 (1991) 695-698
37. Woo G. The Mathematics of Natural Catastrophes (1999), Imperial College Press, London 292 pp.
38. Zeileis A., Kleiber C., Kramer W., and Hornik K. Testing and dating of structural changes in practice. Comput. Stat. Data Anal. 44 (2003) 109-123 10.1016/S0167-9473(03)00030-6