Fausto Fabian Fernandez - MSc. Graduate, San Francisco de Quito University National Polytechnic University, San Francisco de Quito University
Carlos Jimenez Mosquera - Ph.D. San Francisco de Quito University National Polytechnic University, San Francisco de Quito Universit

In this paper our purpose is to analyze, from the Bayesian point of view, the occurrence rate of earthquakes in Ecuador since March ۲۰۱۶ to July ۱۶, ۲۰۱۶. We implemented in Stan language the ETAS models, starting with the purely temporal model, then considering the magnitudes, and later the spatio-temporal models (both isotropic and anisotropic), and finally the hypo-central model. We introduced the use of Welzl algorithm to evaluate the log-likelihood of the occurrence rate for spatio-temporal models. We conducted simulations by extracting values from the a posteriori distributions of the models parameters, to obtain estimations of the accumulated number of earthquakes (with magnitude greater than a threshold) and the behaviour of inter-time events. The estimations are validated with the observed from July ۱۶ ۲۰۱۶ to September ۲۰۱۶.

Bayesian analysis, ETAS, Rstan, Welzl algorithm and inter-event times and earthquake, Ecuador