Applicability of statistical eruption analysis to the geological record of Villarrica and Lanín volcanoes, Southern Volcanic Zone, Chile

Journal of Volcanology and Geothermal Research

Volumn 200, Issue 3-4, 2011, Pages 99-115

  Wehrmann, Heidi ^a   Dzierma, Yvonne ^b  

^a GEOMAR HELMHOLTZ CENTRE FOR OCEAN RESEARCH KIEL   (Germany)

^b UNIVERSITY OF KIEL   (Germany)

Author keywords

Distribution functions; Eruption time series; Geological record; Lan n Volcano; Probabilistic eruption forecasting; Villarrica Volcano; Volcanic hazards

Indexed keywords

ERUPTION TIME SERIES; GEOLOGICAL RECORD; PROBABILISTIC ERUPTION FORECASTING; VILLARRICA VOLCANO; VOLCANIC HAZARDS;

DISTRIBUTION FUNCTIONS; FORECASTING; HAZARDS; LANTHANUM ALLOYS; QUALITY ASSURANCE; STATISTICAL METHODS; TIME SERIES; WEIBULL DISTRIBUTION;

VOLCANOES;

ESTIMATION METHOD; FORECASTING METHOD; GEOLOGICAL RECORD; PROBABILITY DENSITY FUNCTION; STOCHASTICITY; STRATOVOLCANO; TIME SERIES ANALYSIS; VOLCANIC ERUPTION; VOLCANOLOGY; WEIBULL THEORY;

CHILE; LANIN VOLCANO; SOUTH AMERICA; SOUTHERN VOLCANIC ZONE; VILLARRICA VOLCANO;

EID: 79951724158     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2010.11.009     Document Type: Article

References (55)

1. Akaike H. Information theory and an extension of the maximum likelihood principle. Second International Symposium on Information Theory 1973, 267-281. Akademiai Kiado, Budapest. B.N. Petrov, F. Csaki (Eds.).
2. Bebbington M.S. Identifying volcanic regimes using Hidden Markov models. Geophys. J. Int. 2007, 171:921-942. 10.1111/j.1365-246X.2007.03559.x.
3. Bebbington M. Incorporating the eruptive history in a stochastic model for volcanic eruptions. J. Volcanol. Geoth. Res. 2008, 175:325-333. 10.1016/j.volgeores.2008.03.013.
4. Bebbington M.S., Lai C.D. Statistical analysis of New Zealand volcanic occurrence data. J. Volcanol. Geoth. Res. 1996, 74:101-110.
5. Bebbington M.S., Lai C.D. On nonhomogenous models for volcanic eruptions. Math. Geol. 1996, 28(5):585-600.
6. Burnham K.P., Anderson D.R. Model Selection and Inference: A Practical Information-Theoretic Approach 1998, Springer-Verlag, New York, New York, USA, 353pp.
7. Castruccio A., Clavero J., Rivera A. Comparative study of lahars generated by the 1961 and 1971 eruptions of Calbuco and Villarrica volcanoes, Southern Andes of Chile. J. Volcanol. Geoth. Res. 2010, 190:297-311. 10.1016/j.volgeores.2009.12.005.
8. Cembrano J., Lara L. The link between volcanism and tectonics in the southern volcanic zone of the Chilean Andes: a review. Tectonophysics 2009, 471:96-113.
9. Connor C.B., Sparks R.S.J., Mason R.M., Bonadonna C. Exploring links between physical and probabilistic models of volcanic eruptions: the Soufrière Hills Volcano, Montserrat. Geophys. Res. Lett. 2003, 30(13):1701. 10.1029/2003GL017384.
10. Connor C.B., McBirney A.R., Furlan C. What is the probability of explosive eruption at a long-dormant volcano?. Special Publication of IAVCEI 2006, 1:57-76. Geological Society, London. H.M. Mader, S.G. Coles, C.B. Connor, L.J. Connor (Eds.).
11. Cox D.R., Lewis P.A.W. The Statistical Analysis of Series of Events 1966, Methuen & Co., London, 285pp.
12. Cox D.R., Oakes D. Analysis of Survival Data 1984, Chapman and Hall, London, 201pp.
13. De la Cruz-Reyna S. Poisson-distributed patterns of explosive activity. Bull. Vol. 1991, 54:57-67.
14. De la Cruz-Reyna S. Long-term probabilistic analysis of future explosive eruptions. Monitoring and Mitigation of Volcanic Hazards 1996, Springer, New York, Berlin. R. Scarpa, R.I. Tilling (Eds.).
15. Dzierma Y., Wehrmann H. Eruption time series statistically examined: probabilities of future eruptions at Villarrica and Llaima Volcanoes, Southern Volcanic Zone, Chile. J. Volcanol. Geoth. Res. 2010, 193:82-92. 10.1016/j.jvolgeores.2010.03.009.
16. Dzierma Y., Wehrmann H. Statistical eruption forecast for the Chilean Southern Volcanic Zone: typical frequencies of volcanic eruptions as baseline for possibly enhanced activity following the large 2010 Concepción earthquake. Nat. Hazard Earth Syst. Sci. 2010, 10:2093-2108. 10.5194/nhess-10-2093-2010.
17. Gelman A., Carlin J.B., Stern H.S., Rubin D.B. Bayesian Data Analysis 2009, Chapman & Hall/CRC Texts in Statistical Science, Florida.
18. Hildreth W., Grunder A.L., Drake R.E. The Loma Seca Tuff and the Calabozos caldera: a major ash-flow and caldera complex in the southern Andes of central Chile. Geol. Soc. Am. Bull. 1984, 95:45-54.
19. Ho C.-H. Bayesian analysis of volcanic eruptions. J. Volcanol. Geoth. Res. 1990, 43:91-98.
20. Ho C.-H. Time trend analysis of basaltic volcanism for the Yukka Mountain site. J. Volcanol. Geoth. Res. 1991, 46:61-72.
21. Johnson J.B., Aster R.C., Kyle P.R. Volcanic eruptions observed with infrasound. Geophys. Res. Let. 2004, 31:L14604. 10.1029/2004GL020020.
22. Klein F.W. Patterns of historical eruptions at Hawaiian volcanoes. J. Volcanol. Geoth. Res. 1982, 12:1-35.
23. Lara L.E. Geología del Volcán Lanín. Carta Geológica de Chile Basica 2004, No. 87.
24. Villarrica Volcano (39.5°S), Southern Andes, Chile 2004, Vol. 61. Servicio Nacional de Geología y Minería. L.E. Lara, J. Clavero (Eds.).
25. Lara L.E., Naranjo J.A., Moreno H. Lanín Volcano (39.5°S), Southern Andes: geology and morphostructural evolution. Rev. Geol. Chile 2004, 31(2):241-257.
26. Lohmar S., Robin C., Gourgaud A., Clavero J., Parada M.A., Moreno H., Ersoy O., López-Escobar L., Naranjo J.A. Evidence of magma-water interaction during the 13,800years BP explosive cycle of the Licán Ignimbrite, Villarrica volcano (southern Chile). Rev. Geol. Chile 2007, 34(2):233-247.
27. Statistics in Volcanology. Spec. Pub. of IAVCEI 2006, 1. Geological Society, London. H.M. Mader, S.G. Coles, C.B. Connor, L.J. Connor (Eds.).
28. Marshall A.W., Olkin I. Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families 2007, Spinger Series in Statistics.
29. Marzocchi W., Sandri L., Gasparini P., Newhall C., Boschi E. Quantifying probabilities of volcanic events: the example of volcanic hazard at Mount Vesuvius. J. Geophys. Res. 2004, 109:B11201. 10.1029/2004JB003155.
30. Mather T.A., Tsanev V.I., Pyle D.M., McGonicle A.J.S., Oppenheimer C. Characterization and evolution of tropospheric plumes from Lascar and Villarrica volcanoes, Chile. J. Geophys. Res. 2004, 109:D21303. 10.1029/2004JD004934.
31. McCormac F.G., Hogg A.G., Blackwell P.G., Buck C.E., Higham T.F.G., Reimer P.J. SHCal04 Southern Hemisphere Calibration 0-11.0cal kyr BP. Radiocarbon 2004, 46:1087-1092.
32. Mendoza-Rosas A.T., De la Cruz-Reyna S. A statistical method linking geological and historical eruption time series for volcanic hazard estimations: application to active polygenetic volcanoes. J. Volcanol. Geoth. Res. 2008, 176:277-290. 10.1016/j.volgeores.2008.04.005.
33. Mendoza-Rosas A.T., 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. 2009, 9:425-431.
34. Moernaut J., De Batist M., Heirman K., Van Daele M., Pino M., Brümmer R., Urrutia R. Fluidization of buried mass-wasting deposits in lake sediments and its relevance for paleoseismology: results from a reflection seismic study of lakes Villarrica and Calafquén (South-Central Chile). Sed. Geol. 2009, 213:121-135. 10.1016/j.sedgeo.2008.12.002.
35. Moreno H., Clavero J.E., Lara L. Actividad explosiva postglacial del volcán Villarrica, Andes del Sur (39°25'S). Congreso Geológico Chileno, No. 7, Actas, Vol. 1 1994, 329-333. Concepción, Chile.
36. Mulargia F., Tinti S. Un approccio di soluzione al probleme del punto di svolta. Statistica 1986, 46:47-57.
37. Mulargia F., Gasperini P., Tinti S. Identifying different regimes in eruptive activity: an application to Etna Volcano. J. Volcanol. Geoth. Res. 1987, 34:89-106.
38. Muñoz M. Eruption patterns of the Chilean volcanoes Villarrica, Llaima, and Tupungatito. Pageoph 1983, 121(5-6):835-852.
39. Muñoz J., Stern C.R. The Quaternary volcanic belt of the southern continental margin of South America: transverse structural and petrochemical variations across the segment between 38°S and 39°S. J. S. Am. Earth Sci. 1988, 1:147-161.
40. Naranjo J.A., Moreno H. Geología del Volcán Llaima, Región Araucaría & Carta Geológica de Chile Basica, No. 88 2005.
41. Nathenson M., Donnelly-Nolan J.M., Champion D.E., Lowenstern J.B. Chronology of postglacial eruptive activity and calculation of eruption probabilities for Medicine Lake volcano, northern California. USGS Scientific Investigations Report 2007-5174-B 2007, 10pp., http://pubs.ugsg.gov/sir/2007/5174/b/.
42. Newhall C.G., Self S. The Volcanic Explosivity Index (VEI): an estimate of explosive magnitude for historical volcanism. J. Geophys. Res. 1982, 87(C2):1231-1238.
43. Scarpa R., Tilling R.I. Monitoring and Mitigation of Volcanic Hazards 1996, Springer, New York, Berlin.
44. Sigiura N. Further analysis of the data by Akaike's information criterion and the finite corrections. Comm. Statistics - Theory and Methods 1978, 7(1):13-26. 10.1080/03610927808827599.
45. Silva-Parejas C., Druitt T.H., Robin C., Morenao H., Naranjo J.A. The Holocene Pucón eruption of Volcán Villarrica, Chile: deposit architecture and eruption chronology. Bull. Volcanol. 2010, 72:677-692. 10.1007/s00445-010-0348-9.
46. Simkin T., Siebert L. Volcanoes of the World 1994, Geosciences Press, Tucson, Arizona, USA. 2nd ed.
47. Sisson T.W., Vallance J.W. Frequent eruptions of Mount Rainier over the last 2600years. Bull. Volcanol. 2009, 71:595-618. 10.1007/s00445-008-0245-7.
48. Sruoga P., Llambías E.J., Fauqué L., Schonwandt D., Repol D.G. Volcanological and geochemical evolution of the Diamante Caldera-Maipo Volcano complex in the southern Andes of Argentina (34°10'S). J. S. Am. Earth Sci. 2005, 19:399-414.
49. Stern C.R. Active Andean volcanism: its geologic and tectonic setting. Rev. Geol. Chile 2004, 31-2:161-206.
50. Stuiver M., Reimer P.J. Extended 14C database and revised CALIB radiocarbon calibration program. Radiocarbon 1993, 35:215-230.
51. Calibration issue. Radiocarbon 1993, 35/1. M. Stuiver, A. Long, R.S. Kra (Eds.).
52. Turner M.B., Cronin S.J., Bebbington M.S., Platz T. Developing probabilistic eruption forecast for dormant volcanoes: a case study from Mt Taranaki, New Zealand. Bull. Volcanol. 2008, 70:507-515. 10.1007/s00445-007-0151-4.
53. Watt S.F.L., Mather T.A., Pyle D.M. Vulcanian explosion cycles: patterns and predictability. Geology 2007, 35(9):839-842. 10.1130/G23562A.1.
54. Wickman F.E. Repose-period patterns of volcanoes. Ark. Min. Geol. 1966, 4(7):291-367.
55. Witter J.B., Kress V.C., Delmelle P., Stix J. Volatile degassing, petrology, and magma dynamics of the Villarrica Lava Lake, Southern Chile. J. Volcanol. Geoth. Res. 2004, 134:303-337. 10.1016/j.jvolgeores.2004.03.002.