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  • 1
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    In:  Pageoph, Leipzig, Birkhäuser Verlag, vol. 160, no. 8, pp. 1429-1445, pp. L15S17, (ISBN: 0-12-018847-3)
    Publication Date: 2003
    Keywords: Stress ; triggering ; interaction ; Aftershocks ; Seismicity ; PAG ; Statistical investigations
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  • 2
    Publication Date: 2011-05-17
    Description: Many accounts, anecdotal and statistical, have noted a causal effect on volcanic eruptions from large, not too distant, earthquakes. Physical mechanisms have been proposed that explain how small static stress changes, or larger transient dynamic stress changes, can have observable effects on a volcano. While only ∼0.4% of eruptions appear to be directly triggered within a few days of an earthquake, these physical mechanisms also imply the possibility of delayed triggering. In the few regional studies conducted, data issues (selection bias and scarcity, inhomogeneity, and cleaning of data) have tended to obscure any clear signal. Using a perturbation technique, we first show that the Indonesian volcanic region possesses no statistically significant coupling for the region as a whole. We then augment a number of point process models for eruption onsets by a time-, distance-, and earthquake magnitude–dependent triggering term and apply this to the individual volcanoes. This method weighs both positive and negative (i.e., absence of eruptions following an earthquake) evidence of triggering. Of 35 volcanoes with at least three eruptions in the study region, seven (Marapi, Talang, Krakatau, Slamet, Ebulobo, Lewotobi, and Ruang) show statistical evidence of triggering over varying temporal and spatial scales, but only after the internal state of the volcano is accounted for. This confirms that triggering is fundamentally a property of the internal magma plumbing of the volcano in question and that any earthquake can potentially “advance the clock” toward a future eruption. This is further supported by the absence of any dependence on triggering of the eruption size.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 28 (1996), S. 585-600 
    ISSN: 1573-8868
    Keywords: prediction interval ; volcanism ; renewal process ; Weibull distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Recently, a special nonhomogeneous Poisson process known as the Weibull process has been proposed by C-H. Ho for fitting historical volcanic eruptions. Revisiting this model, we learn that it possesses some undesirable features which make it an unsatisfactory tool in this context. We then consider the entire question of a nonstationary model in the light of availability and completeness of data. In our view, a nonstationary model is unnecessary and perhaps undesirable. We propose the Weibull renewal process as an alternative to the simple (homogeneous) Poisson process. For a renewal process the interevent times are independent and distributed identically with distribution function F where, in the Weibull renewal process, F has the Weibull distribution, which has the exponential as a special situation. Testing for a Weibull distribution can be achieved by testing for exponentiality of the data under a simple transformation. Another alternative considered is the lognormal distribution for F. Whereas the homogeneous Poisson process represents purely random (memoryless) occurrences, the lognormal distribution corresponds to periodic behavior and the Weibull distribution encompasses both periodicity and clustering, which aids us in characterizing the volcano. Data from the same volcanoes considered by Ho were analyzed again and we determined there is no reason to reject the hypothesis of Weibull interevent times although the lognormal interevent times were not supported. Prediction intervals for the next event are compared with Ho's nonhomogeneous model and the Weibull renewal process seems to produce more plausible results.
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 2014-05-20
    Description: It has been 30 years since the terms time-predictable (repose length increases with previous eruption size) and size-predictable (eruption size increases with repose length) entered the volcanological lexicon. While much evidence of, and models for, the former have emerged, the latter is still largely unsubstantiated. Statistical tests for size-predictability from individual volcanoes suffer from insufficient power and the inherent non-normality and non-linearity in the relationship. Aggregating data from several volcanoes is difficult due to the different temporal and size scales involved. Here, we consider characterizing the volcanic explosivity index (VEI) distribution by a parameter, which is itself influenced by the length of the previous repose, the state of the conduit (open or closed) and possibly other factors. Dependency between the parameters for different eruptions at the same volcano is introduced using a multilevel (hierarchical) Bayesian formulation. Using data from Indonesia, largely since AD 1800, we find that there is a significant probability (〉0.999) that the VEI of the next eruption from closed conduit volcanoes increases with increasing repose length. For example, a further 10-yr wait for the next eruption from Kelut increases the probability of a VEI 〉 2 by approximately 11 per cent. On the other hand, open conduit volcanoes show no evidence of an increase in VEI with repose length. The results are insensitive to the details of the VEI distribution, prior distributions or number of levels in the Bayesian structure.
    Print ISSN: 0956-540X
    Electronic ISSN: 1365-246X
    Topics: Geosciences
    Published by Oxford University Press on behalf of The Deutsche Geophysikalische Gesellschaft (DGG) and the Royal Astronomical Society (RAS).
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  • 5
    Publication Date: 2012-11-01
    Description: Regular large-scale edifice collapse and regrowth is a common pattern during the long lifespans of andesitic stratovolcanoes worldwide. The 〉130 k.y. history of Mount Taranaki, New Zealand, is punctuated by at least 14 catastrophic collapses, producing debris avalanche deposits of 1 to 〉7.5 km 3 . The largest of these sudden events removed as much as one-third of the present-day equivalent cone. The resulting deposits show similar sedimentary and geomorphic features, suggesting similar proto-edifice characteristics, failure trigger mechanisms, and runout path conditions. Each collapse was followed by sustained renewed volcanism and cone regrowth, although there are no matching stepwise geochemical changes in the magma erupted; instead a stable, slowly evolving magmatic system has prevailed. Last Glacial climatic variations are also uncorrelated with the timing or magnitudes of edifice collapse. We demonstrate here that, if the magmatic composition erupted from stratovolcanoes is constant and basement geology conditions are stable, large-scale edifice collapse and the generation of catastrophic debris avalanches will be governed by the magma supply rate. Using a mass balance approach, a volume-frequency model can be applied to forecasting both the probable timing and volume of future edifice failure of such stratovolcanoes. In the Mount Taranaki case, the maximum potential size of a present collapse is estimated to be 7.9 km 3 , while the maximum interval before the next collapse is 〈16.2 k.y. The current annual collapse probability is ~0.00018, with the most likely collapse being a small one (〈2 km 3 ).
    Print ISSN: 0091-7613
    Electronic ISSN: 1943-2682
    Topics: Geosciences
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  • 6
    Publication Date: 2013-04-11
    Description: We demonstrate using a high-resolution Holocene volcanic event record from Mt Taranaki (New Zealand) how geochemical data can be used to modulate a renewal model for the estimated probability of a future eruption. The andesitic stratovolcano Mt Taranaki has an activity record punctuated by long periods of quiescence and subsequent re-awakening. Thus, the distribution of interonset times is bimodal, with the possibility of anomalously long reposes. However, we show that a bimodal renewal distribution is outperformed for eruption forecasting by a proportional hazards type model. The latter model uses the major-oxide chemistry of the ubiquitous phenocryst mineral phase titanomagnetite as a proxy for the state of the magmatic system. We find that the concentrations of TiO 2 and Al 2 O 3 (or MgO) are useful predictors of repose length. These are major substituting elements in the titanomagnetite structure, reflecting variations in magmatic pressure/temperature and oxidation-state history. Highly variable Al 2 O 3 (or MgO) indicates mixing of different magma batches deep within the plumbing system before eruption, and correlates with longer repose times. In contrast, high variability in TiO 2 results from solid-state exsolution processes in the shallow, near-surface conduit and is an indicator for shorter repose times. In the bimodal renewal model, the estimated hazard is only updated to reflect the likelihood of a long repose after the present repose-length exceeds the shorter mode. In the geochemistry modulated model, this predictive information is available at the beginning of the repose to be forecast.
    Print ISSN: 0956-540X
    Electronic ISSN: 1365-246X
    Topics: Geosciences
    Published by Oxford University Press on behalf of The Deutsche Geophysikalische Gesellschaft (DGG) and the Royal Astronomical Society (RAS).
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  • 7
    Publication Date: 2016-10-08
    Description: Coeval rupture of imbricate reverse faults increases the moment magnitude ( M w ) of the resulting earthquake. Detailed mapping and paleoseismic data can yield useful insights into the probability and M w potential of multifault ruptures. We present a paleoseismic study of two active imbricate reverse faults, the Fox Peak and Forest Creek faults, in the central South Island of New Zealand. Both faults have recurrence intervals of ~3000 years, most recent events with overlapping age distributions, and sole into the same structure at depth. Surface and subsurface data indicate average single event displacements of ~2 m for the Fox Peak fault and 1 m for the Forest Creek fault. Monte Carlo simulations provide M w estimates for a range of rupture scenarios (independent and combined), fault geometries, and coseismic displacements. The exponential fault-to-fault jump probability depends on the shortest distance between two faults, which is allowed to vary in the model based on regional hypocentral depths and the modeled fault geometries. Coulomb stress modeling is used to analyze stresses induced on the receiver fault plane, the Forest Creek fault, as a semiquantitative test of triggered rupture feasibility and to determine credible M w distributions. The results suggest a maximum credible event (MCE) of M w ~7.5–7.6 for listric geometries on the Fox Peak and Forest Creek faults. These estimates represent a 0.2–0.5 magnitude increase over most models, which show averages of M w ~7.1–7.3 for rupture scenarios on planar faults. The Monte Carlo approach employed herein is an improvement over simple empirical relationships for estimating M w for surface-rupturing earthquakes and MCEs for reverse-fault systems, because it provides realistic uncertainty estimates and can be readily applied to other fault systems around the world. Online Material: Digital elevation model and sedimentation model of the trench 1 area, color trench logs with photomosaics, and detailed trench unit descriptions.
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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  • 8
    Publication Date: 1996-07-01
    Print ISSN: 1874-8961
    Electronic ISSN: 1874-8953
    Topics: Geosciences , Mathematics
    Published by Springer
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  • 9
  • 10
    Publication Date: 2011-05-17
    Print ISSN: 0148-0227
    Electronic ISSN: 2156-2202
    Topics: Geosciences
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