Fraction of passive galaxies as a function of redshift in the simulated proto-clusters. Blue points correspond to the median values calculated for the 15 proto-clusters hosting passive galaxies at z = 3; red points for the 11 proto-clusters only hosting star-forming galaxies at z = 3. The green points correspond to the fractions of the GrNr11 simulated proto-cluster. This is a representative proto-cluster for us, because it contains a passive galaxy as well as star-forming galaxies with sSFR larger than 10⁻⁸ yr⁻¹, as in our observed ovdendensitis.