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2011 | OriginalPaper | Buchkapitel

Volcanic Eruptions: Stochastic Models of Occurrence Patterns

verfasst von : Mark S. Bebbington

Erschienen in: Extreme Environmental Events

Verlag: Springer New York

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Article Outline

Glossary

Definition of the Subject

Introduction

Data

Temporal Models

Volcanic Regimes

Spatial Aspects

Yucca Mountain

Interactions with Earthquakes

Future Directions

Bibliography

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Vorheriges Kapitel Volcanic Eruptions, Explosive: Experimental Insights

Nächstes Kapitel Volcanic Hazards and Early Warning

Bacon CR (1982) Time‐predictable bimodal volcanism in the Coso range, California. Geology 10:65–69

Bain LJ (1978) Statistical Analysis of Reliability and Life Testing Models. Marcel Dekker, New York

Bebbington MS (2007) Identifying volcanic regimes using hidden Markov models. Geophys J Int, 171:921–942

Bebbington MS, Lai CD (1996) On nonhomogeneous models for volcanic eruptions. Math Geol 28:585–600

Bebbington MS, Lai CD (1996) Statistical analysis of New Zealand volcanic occurrence data. J Volcanol Geotherm Res 74:101–110

Bebbington MS, Lai CD (1998) A generalised negative binomial and applications. Commun Statist Theor Methods 27:2515–2533

Behncke B, Neri M (2003) Cycles and trends in the recent eruptive behaviour of Mount Etna (Italy). Canadian J Earth Sci 40:1405–1411

Bronk Ramsey C (1995) Radiocarbon calibration and analysis of stratigraphy: The OxCal program. Radiocarbon 37:425–430

Burt ML, Wadge G, Scott WA (1994) Simple stochastic modelling of the eruption history of a basaltic volcano: Nyamuragira, Zaire. Bull Volcanol 56:87–97

10.

Cardaci C, Falsaperla S, Gasperini P, Lombardo G, Marzocchi W, Mulargia F (1993) Cross‐correlation analysis of seismic and volcanic data at Mt Etna volcano, Italy. Bull Volcanol 55:596–603

11.

Carta S, Figari R, Sartoris G, Sassi R, Scandone R (1981) A statistical model for Vesuvius and its volcanological implications. Bull Volcanol 44:129–151

12.

Casetti G, Frazzetta G, Romano R (1981) A statistical analysis in time of the eruptive events on Mount Etna (Italy) from 1323 to 1980. J Volcanol Geotherm Res 44:283–294

13.

Coleman NM, Abramson LR, Marsh BD (2004) Testing claims about volcanic disruption of a potential geologic repository at Yucca Mountain, Nevada. Geophys Res Lett 31:L24601

14.

Condit CD, Connor CB (1996) Recurrence rates of volcanism in basaltic volcanic fields: an example from the Springerville volcanic field, Arizona. Geol Soc Am Bull 108:1225–1241

15.

Connor CB (1990) Cinder cone clustering in the TransMexican volcanic belt: Implications for structural and petrologic models. J Geophys Res 95:19395–19405

16.

Connor CB, Condit CD, Crumpler LS, Aubele JC (1992) Evidence of regional structural controls on vent distribution: Springerville volcanic field, Arizona. J Geophys Res 97:349–359

17.

Connor CB, Hill BE (1995) Three nonhomogeneous Poisson models for the probability of basaltic volcanism: application to the Yucca Mountain region, Nevada. J Geophys Res 100:10107–10125

18.

Connor CB, Sparks RSJ, Mason RM, Bonadonna C, Young SR (2003) Exploring links between physical and probabilistic models of volcanic eruptions: The Soufriere Hills volcano, Montserrat. Geophys Res Lett 30:1701

19.

Connor CB, Stamatakos JA, Ferrill DA, Hill BE, Ofoegbu GI, Conway FM, Sagar B, Trapp J (2000) Geologic factors controlling patterns of small‐volume basaltic volcanism: Application to a volcanic hazards assessment at Yucca Mountain, Nevada. J Geophys Res 105:417–432

20.

Conway FM, Connor CB, Hill BE, Condit CD, Mullaney K, Hall CM (1998) Recurrence rates of basaltic volcanism in SP cluster, San Francisco volcanic field, Arizona. Geology 26:655–658

21.

Crandell DR, Mullineaux DR, Rubin M (1975) Mount St. Helens volcano: Recent and future behaviour. Science 187:438–441

22.

Cronin S, Bebbington M, Lai CD (2001) A probabilistic assessment of eruption recurrence on Taveuni volcano, Fiji. Bull Volcanol 63:274–288

23.

Crowe BM, Johnson ME, Beckman RJ (1982) Calculation of the probability of volcanic disruption of a high-level radioactive waste repository within southern Nevada, USA. Radioact Waste Manag 3:167–190

24.

Crowe BM, Wallmann P, Bowker LM (1998) Probabilistic modeling of volcanism data: Final volcanic hazard studies for the Yucca Mountain site. In: Perry FV et al. (eds) Volcanism Studies: Final Report for the Yucca Mountain project. Los Alamos National Laboratory Report LA-13478, Los Alamos National Laboratory, Los Alamos, 415 pp

25.

Decker RW (1986) Forecasting volcanic eruptions. Ann Rev Earth Planet Sci 14:267–291

26.

De la Cruz-Reyna S (1991) Poisson‐distributed patterns of explosive eruptive activity. Bull Volcanol 54:57–67

27.

De la Cruz-Reyna S (1993) Random patterns of occurrence of explosive eruptions at Colima vulcano, Mexico. J Volcanol Geotherm Res 55:51–68

28.

De la Cruz-Reyna S, Carrasco‐Nunez G (2002) Probabilistic hazard analysis of Citlaltepetl (Pico de Orizaba) volcano, eastern Mexican volcanic belt. J Volcanol Geotherm Res 113:307–318

29.

Dubois J, Cheminee JL (1991) Fractal analysis of eruptive activity of some basaltic volcanoes. J Volcanol Geotherm Res 45:197–208

30.

Eliasson J, Larsen G, Gudmundsson MT, Sigmundsson F (2006) Probabilistic model for eruptions and associated flood events in the Katla caldera, Iceland. Comput Geosci 10:179–200

31.

Gasperini P, Gresta S, Mulargia F (1990) Statistical analysis of seismic and eruptive activities at Mt. Etna during 1978–1987. J Volcanol Geotherm Res 40:317–325

32.

Geomatrix Consultants (1996) Probabilistic volcanic hazard analysis for Yucca Mountain, Nevada. Report BA0000000‐1717-220-00082. Geomatrix Consultants, San Francisco

33.

Godano C, Civetta L (1996) Multifractal analysis of Vesuvius volcano eruptions. Geophys Res Lett 23:1167–1170

34.

Gusev AA, Ponomareva VV, Braitseva OA, Melekestsev IV, Sulerzhitsky LD (2003) Great explosive eruptions on Kamchatka during the last 10,000 years: Self‐similar irregularity of the output of volcanic products. J Geophys Res 108(B2):2126

35.

Guttorp P, Thompson ML (1991) Estimating second‐order parameters of volcanicity from historical data. J Amer Statist Assoc 86:578–583

36.

Ho CH (1990) Bayesian analysis of volcanic eruptions. J Volcanol Geotherm Res 43:91–98

37.

Ho CH (1991) Nonhomogeneous Poisson model for volcanic eruptions. Math Geol 23:167–173

38.

Ho CH (1992) Risk assessment for the Yucca Mountain high-level nuclear waste repository site: Estimation of volcanic disruption. Math Geol 24:347–364

39.

Ho CH (1992) Statistical control chart for regime identification in volcanic time‐series. Math Geol 24:775–787

40.

Ho CH (1995) Sensitivity in volcanic hazard assessment for the Yucca Mountain high-level nuclear waste repository site: The model and the data. Math Geol 27:239–258

41.

Ho CH, Smith EI (1997) Volcanic hazard assessment incorporating expert knowledge: application to the Yucca Mountain region, Nevada, USA. Math Geol 29:615–627

42.

Ho CH, Smith EI (1998) A spatial‐temporal/3-D model for volcanic hazard assessment: application to the Yucca Mountain region, Nevada. Math Geol 30:497–510

43.

Ho CH, Smith EI, Feuerbach DL, Naumann TR (1991) Eruptive probability calculation for the Yucca Mountain site, USA: Statistical estimation of recurrence rates. Bull Volcanol 54:50–56

44.

Jaquet O, Low S, Martinelli B, Dietrich V, Gilby D (2000) Estimation of volcanic hazards based on Cox stochastic processes. Phys Chem Earth (A) 25:571–579

45.

Jupp TE, Pyle DM, Mason BG, Dade WB (2004) A statistical model for the timing of earthquakes and volcanic eruptions influenced by periodic processes. J Geophys Res 109:B02206

46.

Klein FW (1982) Patterns of historical eruptions at Hawaiian volcanoes. J Volcanol Geotherm Res 12:1–35

47.

Klein FW (1984) Eruption forecasting at Kilauea Volcano, Hawaii. J Geophys Res 89:3059–3073

48.

Linde AT, Sacks IS (1998) Triggering of volcanic eruptions. Nature 395:888–890

49.

Lockwood JP (1995) Mauna Loa eruptive history – the preliminary radiocarbon record, Hawai`i. In: Rhodes JM, Lockwood JP (eds) Mauna Loa Revealed: Structure, Composition, History, and Hazards. American Geophysical Union Monograph, vol 92. American Geophysical Union, Washington DC, pp 81–94

50.

Lutz TM (1986) An analysis of the orientation of large-scale crustal structures: A statistical approach based on areal distributions of pointlike features. J Geophys Res 91:421–434

51.

Lutz TM, Gutmann JT (1995) An improved method for determining and characterizing alignments of pointlike features and its immplications for the Pinacate volcanic field, Sonora, Mexico. J Geophys Res 100:17659–17670

52.

Magill CR, McAneney KJ, Smith IEM (2005) Probabilistic assessment of vent locations for the next Auckland volcanic field event. Math Geol 37:227–242

53.

Martin AJ, Umeda K, Connor CB, Weller JN, Zhao D, Takahashi M (2004) Modeling long-term volcanic hazards through Bayesian inference: An example from the Tohoku volcanic arc, Japan. J Geophys Res 109:B10208

54.

Martin DP, Rose WI (1981) Behavioral patterns of Fuego volcano, Guatemala. J Volcanol Geotherm Res 10:67–81

55.

Marzocchi W (1996) Chaos and stochasticity in volcanic eruptions the case of Mount Etna and Vesuvius. J Volcanol Geotherm Res 70:205–212

56.

Marzocchi W (2002) Remote seimic influence on large explosive eruptions. J Geophys Res 107:2018. doi:10.1029/2001JB000307

57.

Marzocchi W, Sandri L, Gasparini P, Newhall C, Boschi E (2004) Quantifying probabilities of volcanic events: The example of volcanic hazard at Mount Vesuvius. J Geophys Res 109:B11201

58.

Marzocchi W, Scandone R, Mulargia F (1993) The tectonic setting of Mount Vesuvius and the correlation between its eruptions and the earthquakes of the southern Apennines. J Volcanol Geotherm Res 58:27–41

59.

Marzocchi W, Zaccarelli L (2006) A quantitative model for the time-size distribution of eruptions. J Geophys Res 111:B04204

60.

Marzocchi W, Zaccarelli L, Boschi E (2004) Phenomenological evidence in favor of a remote seimic coupling for large volcanic eruptions. Geophys Res Lett 31:L04601

61.

Mason BG, Pyle DM, Dade WB, Jupp T (2004) Seasonality of volcanic eruptions. J Geophys Res 109:B04206

62.

Mauk FJ, Johnston MJS (1973) On the triggering of volcanic erutpions by earth tides. J Geophys Res 78:3356–3362

63.

Medina Martinez F (1983) Analysis of the eruptive history of the Volcan de Colima, Mexico (1560–1980). Geof Int 22:157–178

64.

Mulargia F (1992) Time association between series of geophysical events. Phys Earth Plan Int 71:147–153

65.

Mulargia F, Gasperini P, Tinti S (1987) Identifying regimes in eruptive activity: An application to Etna volcano. J Volcanol Geotherm Res 34:89–106

66.

Mulargia F, Marzocchi W, Gasperini P (1992) Statistical identification of physical patterns which accompany eruptive activity on Mount Etna, Sicily. J Volcanol Geotherm Res 53:289–296

67.

Mulargia F, Tinti S, Boschi E (1985) A statistical analysis of flank eruptions on Etna volcano. J Volcanol Geotherm Res 23:263–272

68.

Newhall CG, Self S (1982) The volcanic explosivity index (VEI): An estimate of explosive magnitude for historical volcanism. J Geophys Res 87:1231–1238

69.

Nishi Y, Inoue M, Tnaka T, Murai M (2001) Analysis of time sequences of explosive volcanic eruptions of Sakurajima. J Phys Soc Japan 70:1422–1428

70.

Nostro C, Stein RS, Cocco M, Belardinelli ME, Marzocchi W (1998) Two-way coupling between Vesuvius eruptions and southern Apennine earthquakes, Italy, by elastic stress transfer. J Geophys Res 103:24487–24504

71.

Pyle DM (1998) Forecasting sizes and repose times of future extreme volcanic events. Geology 26:367–370

72.

Reyment RA (1969) Statistical analysis of some volcanologic data regarded as series of point events. Pure Appl Geophys 74:57–77

73.

Salvi F, Scandone R, Palma C (2006) Statistical analysis of the historical activity of Mount Etna, aimed at the evaluation of volcanic hazard. J Volcanol Geotherm Res 154:159–168

74.

Sandri L, Marzocchi W, Gasperini P (2005) Some insights on the occurrence of recent volcanic eruptions of Mount Etna volcano (Sicily, Italy). Geophys J Int 163:1203–1218

75.

Santacroce R (1983) A general model for the behaviour of the Somma-Vesuvius volcanic complex. J Volcanol Geotherm Res 17:237–248

76.

Scandone R, Arganese G, Galdi F (1993) The evaluation of volcanic risk in the Vesuvian area. J Volcanol Geotherm Res 58:263–271

77.

Scandone R, Giacomelli L, Gasparini P (1993) Mount Vesuvius: 2000 years of volcanological observations. J Volcanol Geotherm Res 58:5–25

78.

Settle M, McGetchin TR (1980) Statistical analysis of persistent explosive activity at Stromboli, 1971: Implications for eruption prediction. J Volcanol Geotherm Res 8:45–58

79.

Sharp ADL, Lombardo G, David PM (1981) Correlation between eruptions of Mount Etna, Sicily, and regional earthquakes as seen in historical records from AD 1582. Geophys J R astr Soc 65:507–523

80.

Sheridan MF (1992) A Monte Carlo technique to estimate the probability of volcanic dikes. In: High-Level Radioactive Waste Management: Proceedings of the Third Annual International Conference, Las Vegas, April 12–16, 1992. American Nuclear Society, La Grange Park, pp 2033–2038

81.

Shimazaki K, Nakata T (1980) Time‐predictable recurrence model for large earthquakes. Geophys Res Lett 7:279–282

82.

Siebert L, Simkin T (2002) Volcanoes of the World: an Illustrated Catalog of Holocene Volcanoes and their Eruptions, Smithsonian Institution, Global Volcanism Program Digital Information Series, GVP-3. http://www.volcano.si.edu/world/. Accessed 20 Jun 2008

83.

Simkin T (1993) Terrestrial volcanism in space and time. Ann Rev Earth Panet Sci 21:427–452

84.

Simkin T (1994) Distant effects of volcanism – how big and how often? Science 264:913–914

85.

Smith EI, Keenan DL, Plank T (2002) Episodic volcanism and hot mantle: Implications for volcanic hazard studies at the proposed nuclear waste repository at Yucca Mountain, Nevada. GSA Today April 2002:4–9

86.

Solow AR (1993) Estimating record inclusion probability. The Amer Statist 47:206–208

87.

Solow AR (2001) An empirical Bayes analysis of volcanic eruptions. Math Geol 33:95–102

88.

Sornette A, Dubois J, Cheminee JL, Sornette D (1991) Are sequences of volcanic eruptions deterministically chaotic? J Geophys Res 96:11931–11945

89.

Stothers RB (1989) Seasonal variations of volcanic eruption frequencies. Geophys Res Lett 16:453–455

90.

Takada A (1997) Cyclic flank-vent and central‐vent eruption patterns. Bull Volcanol 58:539–556

91.

Telesca L, Cuomo V, Lapenna V, Macchiato M (2002) Time‐clustering analysis of volcanic occurrence sequences. Phys Earth Planet Int 131:47–62

92.

Telesca L, Lapenna V (2005) Identifying features in time‐occurrence sequences of volcanic eruptions. Environmentrics 16:181–190 58

93.

Thorlaksson JE (1967) A probability model of volcanoes and the probability of eruptions of Hekla and Katla. Bull Volcanol 31:97–106

94.

Turner M, Cronin S, Bebbington M, Platz T (2008) Developing a probabilistic eruption forecast for dormant volcanos; a case study from Mt Taranaki, New Zealand. Bull Volcanol 70:507–515

95.

Turner M, Cronin S, Smith I, Bebbington M, Stewart RB (2008) Using titanomagnetite textures to elucidate volcanic eruption histories. Geology 36:31–34

96.

Vere-Jones D (1992) Statistical methods for the description and display of earthquake catalogs. In: Walden AT, Guttorp P (eds) Statistics in the Environmental and Earth Sciences, Edward Arnold, London, pp 220–246

97.

Vere-Jones D, Ozaki T (1982) Some examples of statistical estimation applied to earthquake data. Ann Inst Statist Math 34:189–207

98.

Voight B (1988) A method for prediction of volcanic eruptions. Nature 332:125–130

99.

Wadge G (1982) Steady state volcanism: Evidence from eruption histories of polygenetic volcanoes. J Geophys Res 87:4035–4049

100.

Wadge G, Cross A (1988) Quantitative methods for detecting aligned points: An application to the volcanic vents of the Michoacan–Guanajuato volcanic field, Mexico. Geology 16:815–818

101.

Wadge G, Guest JE (1981) Steady‐state magma discharge at Etna 1971–1981. Nature 294:548–550

102.

Wadge G, Walker WPL, Guest JE (1975) The output of Etna volcano. Nature 255:385–387

103.

Wickman FE (1966) Repose‐period patterns of volcanoes. I. Volcanic eruptions regarded as random phenomena. Arch Mineral Geol 4:291–367

104.

Wickman FE (1966) Repose‐period patterns of volcanoes. V. General discussion and a tentative stochastic model. Arch Mineral Geol 4:351–367

105.

Wickman FE (1976) Markov models of repose‐period patterns of volcanoes. In: Merriam DF (ed) Random Processes in Geology. Springer, New York, pp 135–161

106.

Young PC (2006) New approaches to volcanic time‐series analsyis. In Mader HM, Coles SG, Connor CB, Connor LJ (eds) Statistics in Volcanology. Geological Society of London, London, pp 143–160

107.

Guttorp P (1995) Stochastic Modeling of Scientific Data, Chapman and Hall, London

108.

Hill DP, Pollitz FP, Newhall C (2002) Earthquake‐volcano interactions. Phys Today 55:41–47

109.

Lindsay JK (2004) Statistical Analysis of Stochastic Processes in Time. Cambridge University Press, Cambridge

110.

Karr AF (1991) Point Processes and Their Statistical Inference, 2nd edn. Marcel Dekker, New York

111.

Mader HM, Coles SG, Connor CB, Connor LJ (eds) (2006) Statistics in Volcanology. Geological Society of London, London

Titel: Volcanic Eruptions: Stochastic Models of Occurrence Patterns
verfasst von: Mark S. Bebbington
Verlag: Springer New York
Buch: Extreme Environmental Events
Print ISBN: 978-1-4419-7694-9

Electronic ISBN: 978-1-4419-7695-6

Copyright-Jahr: 2011
DOI: https://doi.org/10.1007/978-1-4419-7695-6_57