  In recent years, modelling the evolution of beam losses in circular proton
machines starting from the concept of dynamic aperture its time evolution has
been the focus of intense research. Results from single-particle non-linear
beam dynamics have been used to build simple models that proved to be in good
agreement with beam measurements. These results have been generalised, thus
opening the possibility to describe also the luminosity evolution in a circular
hadron collider. In a companion paper (Part I), the derivation of a scaling law
for luminosity, which includes both burn off and pseudo-diffusive effects, has
been carried out. In this paper, the proposed models are applied to the
analysis of the data collected during the CERN Large Hadron Collider (LHC) Run
1. A data set referring to the proton physics runs for the years 2011 and 2012
has been analysed and the results are proposed and discussed in detail in this
paper.
