AMICO galaxy clusters in KiDS-DR3: galaxy population properties and
  their redshift dependence
  A catalogue of galaxy clusters was obtained in an area of 414 sq deg up to a
redshift $z\sim0.8$ from the Data Release 3 of the Kilo-Degree Survey
(KiDS-DR3), using the Adaptive Matched Identifier of Clustered Objects (AMICO)
algorithm. The catalogue and the calibration of the richness-mass relation were
presented in two companion papers. Here we describe the selection of the
cluster central galaxy and the classification of blue and red cluster members,
and analyze the main cluster properties, such as the red/blue fraction, cluster
mass, brightness and stellar mass of the central galaxy, and their dependence
on redshift and cluster richness. We use the Illustris-TNG simulation, which
represents the state-of-the-art cosmological simulation of galaxy formation, as
a benchmark for the interpretation of the results. A good agreement with
simulations is found at low redshifts ($z \le 0.4$), while at higher redshifts
the simulations indicate a lower fraction of blue galaxies than what found in
the KiDS-AMICO catalogue: we argue that this may be due to an underestimate of
star-forming galaxies in the simulations. The selection of clusters with a
larger magnitude difference between the two brightest central galaxies, which
may indicate a more relaxed cluster dynamical status, improves the agreement
between the observed and simulated cluster mass and stellar mass of the central
galaxy. We also find that at a given cluster mass the stellar mass of blue
central galaxies is lower than that of the red ones.
