Forward evolution from z = 2.2 to z = 0.1 of the galaxies that obey the analytical fit of the observed MZR at z ∼ 2.2 by Maiolino et al. (2008) and the main sequence of star-forming galaxies as derived by Pearson et al. (2018). Starting from the left, in the first, second and third column we show the evolution of the MZR, SFR vs. stellar mass and gas fraction vs stellar mass, respectively. In the last column, the age-stellar mass relation is shown. The color-coding indicates the loading factor parameter λ. The black dashed lines in the panels of the first column and in each SFR-log(M_⋆/M_⊙) plot, show the MZR at redshift z ∼ 2.2 of Maiolino et al. (2008) and the MSR derived in high redshift star forming galaxies by Pearson et al. (2018), respectively. The solid black lines in the first two top-left panels are the MZR at redshift z ∼ 0.1 of Kewley & Ellison (2008) and the MSR of Peng et al. (2010), respectively. In the upper-right panel with the dark red shaded area we also include the age-stellar mass relation for the local passive galaxies by Trussler et al. (2020).