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Volcanic Eruptions: Stochastic Models of Occurrence Patterns

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Extreme Environmental Events

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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Abbreviations

Onset:

The beginning of an eruption. The term event will be used interchangeably.

Repose:

Periods during which an eruption is not in progress.

Onset time:

Time at which an eruption begins. The ith onset time will be denoted t i , for \({i=1,\ldots,n}\).

Inter-onset time :

Time between successive onsets, denoted by \({r_i = t_{i+1} - t_i}\), for \({i = 1,\ldots,n-1}\). In many papers this is termed the repose time , which we shall use interchangeably, although the latter is strictly the time between the end of one eruption and the start of the next.

Polygenetic vent:

Site of multiple events, in contrast to monogenetic vents, at which only one eruption occurs. The latter occur predominately in volcanic fields.

Absolute time:

is denoted by t or s, with the latter usually being the time of the last known event. The elapsed time since the last known event is denoted by u, or, equivalently, \({t-s}\).

A parameter estimate:

of the parameter λ, say, is denoted by \({\hat{\lambda}}\).

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  1. Massey University, Palmerston North, New Zealand

    Mark S. Bebbington

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  1. RAMTECH LIMITED, 122 Escalle Lane, Larkspur, CA, 94939, USA

    Robert A. Meyers Ph. D. (Editor-in-Chief) (Editor-in-Chief)

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Bebbington, M.S. (2011). Volcanic Eruptions: Stochastic Models of Occurrence Patterns. In: Meyers, R. (eds) Extreme Environmental Events. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7695-6_57

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