Backward evolution from z = 0.1 to z = 2.2 of the galaxies that obey the analytical fit of the observed MZR at z ∼ 0.1 of Curti et al. (2020) and the local main sequence of star-forming galaxies as derived by Peng et al. (2010), color-coded as a function of the loading factor parameter λ as in Fig. 2. The dashed black lines in the panels of the first column and in each SFR-log(M_⋆/M_⊙) plot show the MZR of Curti et al. (2020) and the MSR derived in local star-forming galaxies by Peng et al. (2010), respectively.