Evolution of the Γ_*, 10 − M_*, 10 relation due to different merger toy models. As in Fig. 5, the gray band represents an upper limit of the evolution of the Γ_*, 10 − M_*, 10 relation. The median Γ_*, 10 − M_*, 10 relation of the gray band (shown as a dashed, gray line) serves as a starting point. The fitting formula of EMERGE (Moster et al. 2018) is used to estimate the number of mergers, thus calculating ζ_μ and ζ_β. The three sets of dots that lie on the starting Γ_*, 10 − M_*, 10 relation represent three different merger models, while the arrows show the change of these dots and the resulting Γ_*, 10 − M_*, 10 relation.