  The existence of magnitude dependence in earthquake triggering has been
reported. Such a correlation is linked to the issue of seismic predictability
and remains under intense debate whether it is physical or is caused by
incomplete data due to short-term aftershocks missing. Working firstly with a
synthetic catalogue generated by a numerical model that capture most
statistical features of earthquakes and then with an high-resolution earthquake
catalogue for the Amatrice-Norcia (2016) sequence in Italy, where for the
latter case we employ the stochastic declustering method to reconstruct the
family tree among seismic events and limit our analysis to events above the
magnitude of completeness, we found that the hypothesis of magnitude
correlation can be rejected.
