Redshift evolution of baryonic component in the Universe. Top: ratio of cosmic molecular-to-atomic gas density as a function of redshift. Middle: ratio of molecular gas-to-stellar mass density as a function of redshift. Bottom: cosmic gas depletion timescale, is defined as the density of molecular gas over the cosmic star formation rate density. We include the molecular gas depletion times commonly derived for individual galaxies as the ratio M_H2/SFR, as is reported in Tacconi et al. (2020). We use the fit of ρ_⋆ presented by Madau & Dickinson (2014). We used the values of ρ_HI and ψ_⋆ fitted in the compilation done by Péroux & Howk (2020) in dotted blue and Walter et al. (2020) in purple. For the star formation rate density and stellar mass function, the former assumes a Chabrier IMF (Chabrier 2003) and a return fraction R = 0.41, while the latter assumes a Salpeter IMF (Salpeter 1955) and R = 0.27. The ρ_H2 corresponds to the fit presented in Sect. 5.2, which includes the results from previous surveys that have measured CO along with ALMACAL.