Non-extensive analysis of the seismic activity involving the 2011 volcanic eruption in El Hierro

This paper is focused on the assessment of possible relational elements of the submarine volcanic eruption occurred during 2011 in El Hierro (Canary Islands, Spain) with both the spatio-temporal evolutionary behaviour and the scaling properties of seismic activity before, during and after it. We adopt the non-extensive frequency-magnitude distribution (FMD) model (Silva et al., 2006) for fitting to observed data, where we introduce a weighting function based on the relation between magnitude and energy. Moreover, extension of dependence coefficients in terms of Tsallis entropy (Furuichi, 2006) to the multifractal domain is proposed to study dimensional interaction in terms of the Tsallis generalized dimensions formulation introduced in Angulo and Esquivel (2014). The study shows significant changes in the spatio-temporal dynamics of the seismic activity previous to the volcanic eruption. The combination of these techniques can be seen as a suitable tool in the continuous monitoring of volcanic activity.