SEMINARI
Venerdi 19 Dicembre 2014
Sala Pentagonale, secondo piano
Via Bassini 15 Milano
ore 14:30
PhD Ting Wang
Modelling of seismic activity using Markov-modulated Hawkes process
and
its extensions
Earthquakes are processes in which the internal workings are only observed indirectly, although
the final effects are all too observable! Hidden Markov models (HMMs, a general statistical
framework for modelling partially observed systems) are an intuitively attractive idea for analysing
seismicity.
I will introduce the Markov-modulated Hawkes process that we developed for investigating long-term
patterns in seismicity rate. The catalogue of the Landers earthquake sequence, which
included multiple mainshocks, was used as a case study. I will show how this model captures the
cyclic parent-generating-offspring feature of the temporal behaviour of earthquakes. I will also
discuss our current work on extending this temporal model by including spatial variation of the
seismic activity and the earthquake magnitude. Our aim is to categorize spatiotemporal seismic
hazards holistically, using the entire earthquake record in a selected region to identify patterns
correlated with subsequent large earthquakes, rather than the traditional way of hunting for
individual foreshocks.
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