Open AccessA quantitative model for the time‐size distribution of eruptions
Author(s) -
Marzocchi Warner,
Zaccarelli Lucia
Publication year - 2006
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2005jb003709
Subject(s) - electrical conduit , volcano , event (particle physics) , poisson distribution , geology , hazard , poisson process , statistical model , cluster analysis , statistics , seismology , computer science , mathematics , physics , telecommunications , chemistry , organic chemistry , quantum mechanics
The modeling of the statistical distribution of eruptive frequency and volume provides basic information to assess volcanic hazard and to constrain the physics of the eruptive process. We analyze eruption catalogs from volcanoes worldwide in order to find “universal” relationships and peculiarities linked to different eruptive styles. In particular, we test (1) the Poisson process hypothesis in the time domain, looking for significant clustering of events or the presence of almost regular recurrence times, (2) the relationship between the time to the next eruption and the size of the previous event (the “time predictable” model), and (3) the relationship between the size of an event and the previous repose time (the “size predictable” model). The results indicate different behavior for volcanoes with “open” conduit regimes compared to those with “closed” conduit regimes. Open conduit systems follow a time predictable model, with a marked time clustering of events; closed conduit systems have no significant tendency toward a size or a time predictable model, and the eruptions follow mostly a Poisson distribution. These results are used to build general probabilistic models for volcanic hazard assessment of open and closed conduit systems.