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Natural Hazards and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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Volume 11, issue 10
Nat. Hazards Earth Syst. Sci., 11, 2741–2753, 2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nat. Hazards Earth Syst. Sci., 11, 2741–2753, 2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 12 Oct 2011

Research article | 12 Oct 2011

Volcanic hazard assessment for the Canary Islands (Spain) using extreme value theory

R. Sobradelo1,2, J. Martí1, A. T. Mendoza-Rosas3, and G. Gómez4 R. Sobradelo et al.
  • 1Institute of Earth Sciences "Jaume Almera", CSIC, Lluis Sole i Sabaris s/n, 08028 Barcelona, Spain
  • 2Aon Benfield UCL Hazard Research Centre, Department of Earth Sciences, University College London, Gower Street, London, WC1E 6BT, UK
  • 3Universidad Nacional Autónoma de México, Posgrado en Ciencias de la Tierra, Instituto de Geofísica, Ciudad Universitaria, México 04510 D.F., México
  • 4Departament d'Estadística i Investigació Operativa de la Universitat Politécnica de Catalunya, Jordi Girona 1–3, Edifici C5, Campus Nord, 08034 Barcelona, Spain

Abstract. The Canary Islands are an active volcanic region densely populated and visited by several millions of tourists every year. Nearly twenty eruptions have been reported through written chronicles in the last 600 yr, suggesting that the probability of a new eruption in the near future is far from zero. This shows the importance of assessing and monitoring the volcanic hazard of the region in order to reduce and manage its potential volcanic risk, and ultimately contribute to the design of appropriate preparedness plans. Hence, the probabilistic analysis of the volcanic eruption time series for the Canary Islands is an essential step for the assessment of volcanic hazard and risk in the area. Such a series describes complex processes involving different types of eruptions over different time scales. Here we propose a statistical method for calculating the probabilities of future eruptions which is most appropriate given the nature of the documented historical eruptive data. We first characterize the eruptions by their magnitudes, and then carry out a preliminary analysis of the data to establish the requirements for the statistical method. Past studies in eruptive time series used conventional statistics and treated the series as an homogeneous process. In this paper, we will use a method that accounts for the time-dependence of the series and includes rare or extreme events, in the form of few data of large eruptions, since these data require special methods of analysis. Hence, we will use a statistical method from extreme value theory. In particular, we will apply a non-homogeneous Poisson process to the historical eruptive data of the Canary Islands to estimate the probability of having at least one volcanic event of a magnitude greater than one in the upcoming years. This is done in three steps: First, we analyze the historical eruptive series to assess independence and homogeneity of the process. Second, we perform a Weibull analysis of the distribution of repose time between successive eruptions. Third, we analyze the non-homogeneous Poisson process with a generalized Pareto distribution as the intensity function.

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