Distributions for each component at z = 0 (left panel) and z = 2 (right panel) for the same colors as in the previous figure. As discussed above, both colors become redder with time, but the distributions reveal notable differences. At z = 0, the BCGs display narrower distributions with a more pronounced peak, while at z = 2 their distributions appear quite different. Overall, stellar halos and the ICL exhibit similar distributions at z = 0, whereas at z = 2 they are statistically distinct. Importantly, BCGs are consistently redder than the other two components, independent of redshift. The thick green lines (solid and dashed) represent the mean colors observed in VEGAS (VG+FDS), while the thinner ones indicated the ±1σ distribution. The predicted g − r and r − i of the SHs at z = 0 are very close to the observed ones.