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2011 | OriginalPaper | Chapter

Volcanic Eruptions: Stochastic Models of Occurrence Patterns

Author : Mark S. Bebbington

Published in: Extreme Environmental Events

Publisher: 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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Literature
1.
go back to reference Bacon CR (1982) Time‐predictable bimodal volcanism in the Coso range, California. Geology 10:65–69 Bacon CR (1982) Time‐predictable bimodal volcanism in the Coso range, California. Geology 10:65–69
2.
go back to reference Bain LJ (1978) Statistical Analysis of Reliability and Life Testing Models. Marcel Dekker, New York Bain LJ (1978) Statistical Analysis of Reliability and Life Testing Models. Marcel Dekker, New York
3.
go back to reference Bebbington MS (2007) Identifying volcanic regimes using hidden Markov models. Geophys J Int, 171:921–942 Bebbington MS (2007) Identifying volcanic regimes using hidden Markov models. Geophys J Int, 171:921–942
4.
go back to reference Bebbington MS, Lai CD (1996) On nonhomogeneous models for volcanic eruptions. Math Geol 28:585–600 Bebbington MS, Lai CD (1996) On nonhomogeneous models for volcanic eruptions. Math Geol 28:585–600
5.
go back to reference Bebbington MS, Lai CD (1996) Statistical analysis of New Zealand volcanic occurrence data. J Volcanol Geotherm Res 74:101–110 Bebbington MS, Lai CD (1996) Statistical analysis of New Zealand volcanic occurrence data. J Volcanol Geotherm Res 74:101–110
6.
go back to reference Bebbington MS, Lai CD (1998) A generalised negative binomial and applications. Commun Statist Theor Methods 27:2515–2533 Bebbington MS, Lai CD (1998) A generalised negative binomial and applications. Commun Statist Theor Methods 27:2515–2533
7.
go back to reference Behncke B, Neri M (2003) Cycles and trends in the recent eruptive behaviour of Mount Etna (Italy). Canadian J Earth Sci 40:1405–1411 Behncke B, Neri M (2003) Cycles and trends in the recent eruptive behaviour of Mount Etna (Italy). Canadian J Earth Sci 40:1405–1411
8.
go back to reference Bronk Ramsey C (1995) Radiocarbon calibration and analysis of stratigraphy: The OxCal program. Radiocarbon 37:425–430 Bronk Ramsey C (1995) Radiocarbon calibration and analysis of stratigraphy: The OxCal program. Radiocarbon 37:425–430
9.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Connor CB (1990) Cinder cone clustering in the TransMexican volcanic belt: Implications for structural and petrologic models. J Geophys Res 95:19395–19405 Connor CB (1990) Cinder cone clustering in the TransMexican volcanic belt: Implications for structural and petrologic models. J Geophys Res 95:19395–19405
16.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Crandell DR, Mullineaux DR, Rubin M (1975) Mount St. Helens volcano: Recent and future behaviour. Science 187:438–441 Crandell DR, Mullineaux DR, Rubin M (1975) Mount St. Helens volcano: Recent and future behaviour. Science 187:438–441
22.
go back to reference Cronin S, Bebbington M, Lai CD (2001) A probabilistic assessment of eruption recurrence on Taveuni volcano, Fiji. Bull Volcanol 63:274–288 Cronin S, Bebbington M, Lai CD (2001) A probabilistic assessment of eruption recurrence on Taveuni volcano, Fiji. Bull Volcanol 63:274–288
23.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Decker RW (1986) Forecasting volcanic eruptions. Ann Rev Earth Planet Sci 14:267–291 Decker RW (1986) Forecasting volcanic eruptions. Ann Rev Earth Planet Sci 14:267–291
26.
go back to reference De la Cruz-Reyna S (1991) Poisson‐distributed patterns of explosive eruptive activity. Bull Volcanol 54:57–67 De la Cruz-Reyna S (1991) Poisson‐distributed patterns of explosive eruptive activity. Bull Volcanol 54:57–67
27.
go back to reference De la Cruz-Reyna S (1993) Random patterns of occurrence of explosive eruptions at Colima vulcano, Mexico. J Volcanol Geotherm Res 55:51–68 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.
go back to reference 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 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.
go back to reference Dubois J, Cheminee JL (1991) Fractal analysis of eruptive activity of some basaltic volcanoes. J Volcanol Geotherm Res 45:197–208 Dubois J, Cheminee JL (1991) Fractal analysis of eruptive activity of some basaltic volcanoes. J Volcanol Geotherm Res 45:197–208
30.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Geomatrix Consultants (1996) Probabilistic volcanic hazard analysis for Yucca Mountain, Nevada. Report BA0000000‐1717-220-00082. Geomatrix Consultants, San Francisco Geomatrix Consultants (1996) Probabilistic volcanic hazard analysis for Yucca Mountain, Nevada. Report BA0000000‐1717-220-00082. Geomatrix Consultants, San Francisco
33.
go back to reference Godano C, Civetta L (1996) Multifractal analysis of Vesuvius volcano eruptions. Geophys Res Lett 23:1167–1170 Godano C, Civetta L (1996) Multifractal analysis of Vesuvius volcano eruptions. Geophys Res Lett 23:1167–1170
34.
go back to reference 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 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.
go back to reference Guttorp P, Thompson ML (1991) Estimating second‐order parameters of volcanicity from historical data. J Amer Statist Assoc 86:578–583 Guttorp P, Thompson ML (1991) Estimating second‐order parameters of volcanicity from historical data. J Amer Statist Assoc 86:578–583
36.
go back to reference Ho CH (1990) Bayesian analysis of volcanic eruptions. J Volcanol Geotherm Res 43:91–98 Ho CH (1990) Bayesian analysis of volcanic eruptions. J Volcanol Geotherm Res 43:91–98
37.
go back to reference Ho CH (1991) Nonhomogeneous Poisson model for volcanic eruptions. Math Geol 23:167–173 Ho CH (1991) Nonhomogeneous Poisson model for volcanic eruptions. Math Geol 23:167–173
38.
go back to reference Ho CH (1992) Risk assessment for the Yucca Mountain high-level nuclear waste repository site: Estimation of volcanic disruption. Math Geol 24:347–364 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.
go back to reference Ho CH (1992) Statistical control chart for regime identification in volcanic time‐series. Math Geol 24:775–787 Ho CH (1992) Statistical control chart for regime identification in volcanic time‐series. Math Geol 24:775–787
40.
go back to reference 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 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.
go back to reference Ho CH, Smith EI (1997) Volcanic hazard assessment incorporating expert knowledge: application to the Yucca Mountain region, Nevada, USA. Math Geol 29:615–627 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Klein FW (1982) Patterns of historical eruptions at Hawaiian volcanoes. J Volcanol Geotherm Res 12:1–35 Klein FW (1982) Patterns of historical eruptions at Hawaiian volcanoes. J Volcanol Geotherm Res 12:1–35
47.
go back to reference Klein FW (1984) Eruption forecasting at Kilauea Volcano, Hawaii. J Geophys Res 89:3059–3073 Klein FW (1984) Eruption forecasting at Kilauea Volcano, Hawaii. J Geophys Res 89:3059–3073
48.
go back to reference Linde AT, Sacks IS (1998) Triggering of volcanic eruptions. Nature 395:888–890 Linde AT, Sacks IS (1998) Triggering of volcanic eruptions. Nature 395:888–890
49.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Magill CR, McAneney KJ, Smith IEM (2005) Probabilistic assessment of vent locations for the next Auckland volcanic field event. Math Geol 37:227–242 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.
go back to reference 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 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.
go back to reference Martin DP, Rose WI (1981) Behavioral patterns of Fuego volcano, Guatemala. J Volcanol Geotherm Res 10:67–81 Martin DP, Rose WI (1981) Behavioral patterns of Fuego volcano, Guatemala. J Volcanol Geotherm Res 10:67–81
55.
go back to reference Marzocchi W (1996) Chaos and stochasticity in volcanic eruptions the case of Mount Etna and Vesuvius. J Volcanol Geotherm Res 70:205–212 Marzocchi W (1996) Chaos and stochasticity in volcanic eruptions the case of Mount Etna and Vesuvius. J Volcanol Geotherm Res 70:205–212
57.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Marzocchi W, Zaccarelli L (2006) A quantitative model for the time-size distribution of eruptions. J Geophys Res 111:B04204 Marzocchi W, Zaccarelli L (2006) A quantitative model for the time-size distribution of eruptions. J Geophys Res 111:B04204
60.
go back to reference 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 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.
go back to reference Mason BG, Pyle DM, Dade WB, Jupp T (2004) Seasonality of volcanic eruptions. J Geophys Res 109:B04206 Mason BG, Pyle DM, Dade WB, Jupp T (2004) Seasonality of volcanic eruptions. J Geophys Res 109:B04206
62.
go back to reference Mauk FJ, Johnston MJS (1973) On the triggering of volcanic erutpions by earth tides. J Geophys Res 78:3356–3362 Mauk FJ, Johnston MJS (1973) On the triggering of volcanic erutpions by earth tides. J Geophys Res 78:3356–3362
63.
go back to reference Medina Martinez F (1983) Analysis of the eruptive history of the Volcan de Colima, Mexico (1560–1980). Geof Int 22:157–178 Medina Martinez F (1983) Analysis of the eruptive history of the Volcan de Colima, Mexico (1560–1980). Geof Int 22:157–178
64.
go back to reference Mulargia F (1992) Time association between series of geophysical events. Phys Earth Plan Int 71:147–153 Mulargia F (1992) Time association between series of geophysical events. Phys Earth Plan Int 71:147–153
65.
go back to reference Mulargia F, Gasperini P, Tinti S (1987) Identifying regimes in eruptive activity: An application to Etna volcano. J Volcanol Geotherm Res 34:89–106 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.
go back to reference 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 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.
go back to reference Mulargia F, Tinti S, Boschi E (1985) A statistical analysis of flank eruptions on Etna volcano. J Volcanol Geotherm Res 23:263–272 Mulargia F, Tinti S, Boschi E (1985) A statistical analysis of flank eruptions on Etna volcano. J Volcanol Geotherm Res 23:263–272
68.
go back to reference Newhall CG, Self S (1982) The volcanic explosivity index (VEI): An estimate of explosive magnitude for historical volcanism. J Geophys Res 87:1231–1238 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Pyle DM (1998) Forecasting sizes and repose times of future extreme volcanic events. Geology 26:367–370 Pyle DM (1998) Forecasting sizes and repose times of future extreme volcanic events. Geology 26:367–370
72.
go back to reference Reyment RA (1969) Statistical analysis of some volcanologic data regarded as series of point events. Pure Appl Geophys 74:57–77 Reyment RA (1969) Statistical analysis of some volcanologic data regarded as series of point events. Pure Appl Geophys 74:57–77
73.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Santacroce R (1983) A general model for the behaviour of the Somma-Vesuvius volcanic complex. J Volcanol Geotherm Res 17:237–248 Santacroce R (1983) A general model for the behaviour of the Somma-Vesuvius volcanic complex. J Volcanol Geotherm Res 17:237–248
76.
go back to reference Scandone R, Arganese G, Galdi F (1993) The evaluation of volcanic risk in the Vesuvian area. J Volcanol Geotherm Res 58:263–271 Scandone R, Arganese G, Galdi F (1993) The evaluation of volcanic risk in the Vesuvian area. J Volcanol Geotherm Res 58:263–271
77.
go back to reference Scandone R, Giacomelli L, Gasparini P (1993) Mount Vesuvius: 2000 years of volcanological observations. J Volcanol Geotherm Res 58:5–25 Scandone R, Giacomelli L, Gasparini P (1993) Mount Vesuvius: 2000 years of volcanological observations. J Volcanol Geotherm Res 58:5–25
78.
go back to reference 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 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.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Shimazaki K, Nakata T (1980) Time‐predictable recurrence model for large earthquakes. Geophys Res Lett 7:279–282 Shimazaki K, Nakata T (1980) Time‐predictable recurrence model for large earthquakes. Geophys Res Lett 7:279–282
82.
go back to reference 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 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.
go back to reference Simkin T (1993) Terrestrial volcanism in space and time. Ann Rev Earth Panet Sci 21:427–452 Simkin T (1993) Terrestrial volcanism in space and time. Ann Rev Earth Panet Sci 21:427–452
84.
go back to reference Simkin T (1994) Distant effects of volcanism – how big and how often? Science 264:913–914 Simkin T (1994) Distant effects of volcanism – how big and how often? Science 264:913–914
85.
go back to reference 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 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.
go back to reference Solow AR (1993) Estimating record inclusion probability. The Amer Statist 47:206–208 Solow AR (1993) Estimating record inclusion probability. The Amer Statist 47:206–208
87.
go back to reference Solow AR (2001) An empirical Bayes analysis of volcanic eruptions. Math Geol 33:95–102 Solow AR (2001) An empirical Bayes analysis of volcanic eruptions. Math Geol 33:95–102
88.
go back to reference Sornette A, Dubois J, Cheminee JL, Sornette D (1991) Are sequences of volcanic eruptions deterministically chaotic? J Geophys Res 96:11931–11945 Sornette A, Dubois J, Cheminee JL, Sornette D (1991) Are sequences of volcanic eruptions deterministically chaotic? J Geophys Res 96:11931–11945
89.
go back to reference Stothers RB (1989) Seasonal variations of volcanic eruption frequencies. Geophys Res Lett 16:453–455 Stothers RB (1989) Seasonal variations of volcanic eruption frequencies. Geophys Res Lett 16:453–455
90.
go back to reference Takada A (1997) Cyclic flank-vent and central‐vent eruption patterns. Bull Volcanol 58:539–556 Takada A (1997) Cyclic flank-vent and central‐vent eruption patterns. Bull Volcanol 58:539–556
91.
go back to reference Telesca L, Cuomo V, Lapenna V, Macchiato M (2002) Time‐clustering analysis of volcanic occurrence sequences. Phys Earth Planet Int 131:47–62 Telesca L, Cuomo V, Lapenna V, Macchiato M (2002) Time‐clustering analysis of volcanic occurrence sequences. Phys Earth Planet Int 131:47–62
92.
go back to reference Telesca L, Lapenna V (2005) Identifying features in time‐occurrence sequences of volcanic eruptions. Environmentrics 16:181–190 58 Telesca L, Lapenna V (2005) Identifying features in time‐occurrence sequences of volcanic eruptions. Environmentrics 16:181–190 58
93.
go back to reference Thorlaksson JE (1967) A probability model of volcanoes and the probability of eruptions of Hekla and Katla. Bull Volcanol 31:97–106 Thorlaksson JE (1967) A probability model of volcanoes and the probability of eruptions of Hekla and Katla. Bull Volcanol 31:97–106
94.
go back to reference 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 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.
go back to reference Turner M, Cronin S, Smith I, Bebbington M, Stewart RB (2008) Using titanomagnetite textures to elucidate volcanic eruption histories. Geology 36:31–34 Turner M, Cronin S, Smith I, Bebbington M, Stewart RB (2008) Using titanomagnetite textures to elucidate volcanic eruption histories. Geology 36:31–34
96.
go back to reference 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 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.
go back to reference Vere-Jones D, Ozaki T (1982) Some examples of statistical estimation applied to earthquake data. Ann Inst Statist Math 34:189–207 Vere-Jones D, Ozaki T (1982) Some examples of statistical estimation applied to earthquake data. Ann Inst Statist Math 34:189–207
98.
go back to reference Voight B (1988) A method for prediction of volcanic eruptions. Nature 332:125–130 Voight B (1988) A method for prediction of volcanic eruptions. Nature 332:125–130
99.
go back to reference Wadge G (1982) Steady state volcanism: Evidence from eruption histories of polygenetic volcanoes. J Geophys Res 87:4035–4049 Wadge G (1982) Steady state volcanism: Evidence from eruption histories of polygenetic volcanoes. J Geophys Res 87:4035–4049
100.
go back to reference 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 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.
go back to reference Wadge G, Guest JE (1981) Steady‐state magma discharge at Etna 1971–1981. Nature 294:548–550 Wadge G, Guest JE (1981) Steady‐state magma discharge at Etna 1971–1981. Nature 294:548–550
102.
go back to reference Wadge G, Walker WPL, Guest JE (1975) The output of Etna volcano. Nature 255:385–387 Wadge G, Walker WPL, Guest JE (1975) The output of Etna volcano. Nature 255:385–387
103.
go back to reference Wickman FE (1966) Repose‐period patterns of volcanoes. I. Volcanic eruptions regarded as random phenomena. Arch Mineral Geol 4:291–367 Wickman FE (1966) Repose‐period patterns of volcanoes. I. Volcanic eruptions regarded as random phenomena. Arch Mineral Geol 4:291–367
104.
go back to reference Wickman FE (1966) Repose‐period patterns of volcanoes. V. General discussion and a tentative stochastic model. Arch Mineral Geol 4:351–367 Wickman FE (1966) Repose‐period patterns of volcanoes. V. General discussion and a tentative stochastic model. Arch Mineral Geol 4:351–367
105.
go back to reference 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 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.
go back to reference 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 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.
go back to reference Guttorp P (1995) Stochastic Modeling of Scientific Data, Chapman and Hall, London Guttorp P (1995) Stochastic Modeling of Scientific Data, Chapman and Hall, London
108.
go back to reference Hill DP, Pollitz FP, Newhall C (2002) Earthquake‐volcano interactions. Phys Today 55:41–47 Hill DP, Pollitz FP, Newhall C (2002) Earthquake‐volcano interactions. Phys Today 55:41–47
109.
go back to reference Lindsay JK (2004) Statistical Analysis of Stochastic Processes in Time. Cambridge University Press, Cambridge Lindsay JK (2004) Statistical Analysis of Stochastic Processes in Time. Cambridge University Press, Cambridge
110.
go back to reference Karr AF (1991) Point Processes and Their Statistical Inference, 2nd edn. Marcel Dekker, New York Karr AF (1991) Point Processes and Their Statistical Inference, 2nd edn. Marcel Dekker, New York
111.
go back to reference Mader HM, Coles SG, Connor CB, Connor LJ (eds) (2006) Statistics in Volcanology. Geological Society of London, London Mader HM, Coles SG, Connor CB, Connor LJ (eds) (2006) Statistics in Volcanology. Geological Society of London, London
Metadata
Title
Volcanic Eruptions: Stochastic Models of Occurrence Patterns
Author
Mark S. Bebbington
Copyright Year
2011
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4419-7695-6_57