Volcanic hazard assessment for the Canary Islands (Spain) using extreme value theory

Natural Hazards and Earth System Science

Volumn 11, Issue 10, 2011, Pages 2741-2753

  Sobradelo, R ^a,b   Marti J ^a   Mendoza Rosas, A T ^c   Gomez G ^d  

^a INSTITUTE OF EARTH SCIENCES JAUME ALMERA   (Spain)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^d UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

HAZARD ASSESSMENT; HAZARD MANAGEMENT; HOMOGENEITY; TIME SERIES ANALYSIS; VOLCANIC ERUPTION; VOLCANISM;

CANARY ISLANDS; SPAIN;

EID: 80053612260     PISSN: 15618633     EISSN: 16849981     Source Type: Journal    
DOI: 10.5194/nhess-11-2741-2011     Document Type: Article

References (53)

1. Anguita, F. and Hernán, F.: A propagating fracture model versus a hot-spot origin for the Canary Islands, Earth Planet. Sci. Lett., 27, 11-19, 1975.
2. Anguita, F. and Hernán, F.: The Canary Islands origin: a unifying model, J. Volcanol. Geoth. Res., 103, 1-26, 2000.
3. Araña, V. and Ortiz, R.: The Canary Islands: Tectonics, magma-tism, and geodynamic framework, in: Magmatism in Extensional Structural Settings and the Phanerozoic African Plate, edited by: Kampunzu, A. and Lubala, R., Springer, New York, 209-249, 1991.
4. Aspinall, W., Carniel, R., Jaquet, O., Woo, G., and Hincks, T.: Using hidden multi-state Markov models with multi-parameter volcanic data to provide empirical evidence for alert level decision-support, J. Volcanol. Geoth. Res., 153, 112-124, 2006. (Pubitemid 43670898)
5. Bebbington, M.: Identifying volcanic regimes using hidden Markov models, Geophys. J. Int., 171, 921-942, 2007. (Pubitemid 47578089)
6. Bebbington, M. and Lai, C.: Statistical analysis of New Zealand volcanic occurrence data, J. Volcanol. Geoth. Res., 74, 101-110, 1996a.
7. Bebbington, M. and Lai, C.: On nonhomogeneous models for volcanic eruptions, Math. Geol., 28, 585-600, 1996b.
8. Begueŕa, S.: Uncertainties in partial duration series modeling of extremes related of the choice of the threshold value, J. Hydrol., 303, 215-230, 2005. (Pubitemid 40307135)
9. Burt, M., Wadge, G., and Scott, W.: Simple stochastic modelling of the eruption history of a basaltic volcano: Nyamuragira, Zaire, Bull. Volcanol., 56, 87-156, 1994.
10. Carracedo, J., Day, S., Guillou, H., Rodŕguez, E., Canas, J., and Pérez, F.: Hotspot volcanism close to a passive continental margin, Geol. Mag., 135, 591-604, 1998. (Pubitemid 128593788)
11. Carracedo, J., Rodŕguez-Badioloa, E., Guillou, H., Paterne, M., Scaillet, S., Pérez-Torrado, F., Paris, R., Fra-Paleo, U., and Hansen, A.: Eruptive and structural history of Teide Volcano and rift zones of Tenerife, Canary Islands, Bull. Geol. Soc. Am., 119(9-10), 1027-1051, 2007. (Pubitemid 47455429)
12. Carracedo, J., Guillou, H., Nomade, S., Rodŕguez-Badiola, E., Pérez-Torrado, F., Rodŕguez-González, A., Paris, R., Troll, V., Wiesmaier, S., Delcamp, A., and Fernández-Turiel, J.: Evolution of ocean-island rifts: The northeast rift zone of Tenerife, Canary Islands, Geol. Soc. Am. Bull., 123 562-584, doi:10.1130/B30119.1, 2011.
13. Carta, S., Figari, R., Sartoris, G., Sassi, E., and Scandone, R.: A statistical model for Vesuvius and its volcanological implications, J. Volcanol. Geoth. Res., 44, 129-151, 1981.
14. Coles, S. (Ed.): An Introduction to Statistical Modeling of Extreme Values, Springer-Verlang, London, 2001.
15. Coles, S. and Sparks, R.: Extreme value methods for modelling historical series of large volcanic magnitudes, in: Statistics in Volcanology, edited by Mader, H., Coles, S., Connor, C., and Connor, L., Geological Society of London for IAVCEI, London, 47-56, 2006.
16. Cox, D. and Isham, V. (Eds.): Point Process, Chapman and Hall, London, 1980.
17. Davison, A. and Smith, R.: Models for exceedances over high thresholds, J. R. Stat. Soc., 52(B), 393-442, 1990.
18. De la Cruz-Reyna, S.: Poisson-Distributed Patterns of Explosive Eruptive Activity, Bull. Volcanol., 54, 57-67, 1991.
19. De la Cruz-Reyna, S.: Random patterns of occurrence of explosive eruptions at Colima Volcano, México, J. Volcanol. Geoth. Res., 55, 51-58, 1993.
20. Dickey, D. and Fuller, W.: Distribution of the Estimators for Au-toregressive Time Series With a Unit Root, J. Am. Stat. Assoc., 74, 427-431, 1979.
21. Dzierma, Y. and Wehrmann, H.: Eruption time series statistically examined: Probabilities of future eruptions at Villarrica and Llaima Volcanoes, Southern Volcanic Zone, Chile, J. Volcanol. Geoth. Res., 193, 82-92, doi:10.1016/j.jvolgeores.2010.03.009, 2010a.
22. Dzierma, Y. and Wehrmann, H.: Statistical eruption forecast for the Chilean Southern Volcanic Zone: typical probabilities of volcanic eruptions as baseline for possibly enhanced activity following the large 2010 Concepción earthquake, Nat. Hazards Earth Syst. Sci., 10, 2093-2108, doi:10.5194/nhess-10-2093-2010, 2010b.
23. Ho, C.: Bayesian analysis of volcanic eruptions, J. Volcanol. Geoth. Res., 43, 91-98, 1990.
24. Ho, C.: Time trend analysis of basaltic volcanism for the Yucca Mountain site, J. Volcanol. Geoth. Res., 46, 61-72, 1991.
25. Ho, C., Smith, E., and Keenan, D.: Hazard area and probability of volcanic disruption of the proposed high-level radioactive waste repository at Yucca Mountain, Nevada, USA, Bull. Volcanol., 69, 117-123, 2006.
26. Hoernle, K. and Schmincke, H.: The role of partial melting in the 15-Ma geochemical evolution of Gran Canaria: a blob model for the Canary hotspot, J. Petrol., 34, 599-626, 1993. (Pubitemid 23393659)
27. Hoernle, K., Zhang, Y., and Graham, D.: Seismic and geochemical evidence for large-scale mantle upwelling beneath the eastern Atlantic and western and central Europe, Nature, 374, 34-39, 1995.
28. Jaquet, O. and Carniel, R.: Estimation of volcanic hazard using geostatistical models, in: Statistics in Volcanology, edited by: Mader, H., Coles, S., Connor, C., and Connor, L., IAVCEI Publications, Geological Society of London, 89-103, 2006.
29. Jaquet, O., Low, S., Martinelli, B., Dietrich, V., and Gilby, D.: Estimation of volcanic hazards based on Cox stochastic processes, Phys. Chem. Earth, 25, 571-579, doi:10.1016/S1464-1895(00)00087-9, 2000.
30. Klein, F.: Patterns of historical eruptions at Hawaiian volcanoes, J. Volcanol. Geoth. Res., 12, 1-35, 1982.
31. Le Bas, M., Rex, D., and Stillman, C.: The early magmatic chronology of Fuerteventura, Canary Islands, Geol. Mag., 123, 287-298, 1986.
32. Le Pichon, X. and Fox, P.: Marginal offsets, fracture zones and the early opening of the North Atlantic, J. Geophys. Res., 76, 6294-6308, 1971.
33. Lin, X.: Statistical modelling of severe wind gust, International Congress on Modelling and Simulation, Townsville 14-17 July, 2, 620-625, 2003.
34. Marinoni, L. and Pasquaré, G.: Tectonic evolution of the emergent part of a volcanic ocean island: Lanzarote, Canary Islands, Tectonophysics, 239, 111-135, 1994.
35. Marzocchi, W., Sandri, L., and Selva, J.: BET EF: a probabilistic tool for long-and shortterm eruption forecasting, Bull. Volcanol., 70, 623-632, 2008.
36. McNeil, A.: Estimating the tails of loss severity distributions using extreme value theory, ASTIN Bulletin, 27, 117-137, 1997.
37. Mendoza-Rosas, A. and De la Cruz-Reyna, S.: A statistical method linking geological and historical eruption time series for volcanic hazard estimations: Applications to active polygenetic volcanoes, J. Volcanol. Geoth. Res., 176, 277-290, 2008.
38. Mendoza-Rosas, A. T. and De la Cruz-Reyna, S.: A mixture of exponentials distribution for a simple and precise assessment of the volcanic hazard, Nat. Hazards Earth Syst. Sci., 9, 425-431, doi:10.5194/nhess-9-425-2009, 2009.
39. Mendoza-Rosas, A. T. and De la Cruz-Reyna, S.: Hazard estimates for El Chichón volcano, Chiapas, México: a statistical approach for complex eruptive histories, Nat. Hazards Earth Syst. Sci., 10, 1159-1170, doi:10.5194/nhess-10-1159-2010, 2010.
40. Mulargia, F., Gasperini, P., and Tinti, S.: Identifying different regimes in eruptive activity: an application to Etna volcano, J. Volcanol. Geoth. Res., 34, 89-106, 1987.
41. Newhall, C. and Hoblitt, R.: Constructing event trees for volcanic crises, Bull. Volcanol., 64, 3-20, 2002. (Pubitemid 34254154)
42. Newhall, C. and Self, S.: The volcanic explosivity index (VEI): an estimate of the explosive magnitude for historical eruptions, J. Geophys. Res., 87, 1231-1238, 1982.
43. Pyle, D.: Forecasting sizes and repose times of future extreme volcanic events, Geology, 26, 367-370, 1998.
44. Pyle, D.: Sizes of volcanic eruptions, in: Encyclopedia of Volcanoes, edited by: Sigurdsson, H., Academic, San Diego, California, 263-269, 2000.
45. Reyment, R.: Statistical analysis of some volcanologic data, Regarded as series of point events, PAGEOPH, 74, 57-77, 1969.
46. Robertson, A. and Stillman, C.: Submarine volcanic and associated sedimentary rocks of the Fuerteventura Basal Complex, Canary Islands, Geol. Mag., 116, 203-214, 1979.
47. Romero, C. (Ed.): Las manifestaciones volcánicas históricas del archipiélago canario, Consejeŕ?a de poĺ?tica territorial, Gobierno autónomo de Canarias, 2 tomos, Santa Cruz de Tenerife, 1991.
48. Schmincke, H.: Volcanic and chemical evolution of the Canary Islands, in: Geology of the Northwest African Margin, edited by: von Rad, U., Hinz, K., Sarnthein, M., and Seibold, E., Springer, Berlin, 273-306, 1982.
49. Sobradelo, R. and Mart́, J.: Bayesian event tree for long-term volcanic hazard assessment: Application to Teide-Pico Viejo stra-tovolcanoes, Tenerife, Canary Islands, J. Geophys. Res., 115, B05206, doi:10.1029/ 2009JB006566, 2010.
50. Solow, A.: An empirical Bayes analysis of volcanic eruptions, Math. Geol., 33, 95-102, 2001. (Pubitemid 33635750)
51. Turner, M., Cronin, S., Bebbington, M., and Platz, T.: Developing probabilistic eruption forecasts for dormant volcanoes: a case study from Mt Taranaki, New Zealand, Bull. Volcanol., 70, 507-515, doi:10.1007/s00445-007- 0151-4, 2007.
52. UNESCO: Report of consultative meeting of experts on statistical study of natural hazards and their consequences, Tech. Rep. SC/WS/500, New York, 1972.
53. Wickman, F. E.: Markov models of repose-period patterns of volcanoes, in: Random Processes in Geology, edited by: Merriam, D., Springer-Verlag, Berlin, 135-161, 1976.