Distribution of the sSFR normalised to the sSFR of the MS, in the left panel, and of the molecular gas-to-stellar mass ratio, μ_H2, in the right panel, for different redshift ranges and galaxy samples. Both of our ALMA samples CL1411.1−1148 and CL1301.7−1139 are in green. The PHIBSS2 sample, constituted of field galaxies, is divided into two redshift sub-samples, one at 0.5 ≤ z ≤ 0.6 and the other one at 0.6 < z ≤ 0.8. A sub-sample of the Castignani et al. (2020) LIRGs within clusters Cl 0926+1242 and MACS J0717.5+3745 is provided. The cluster sample at lower redshifts comprises the rest of the Castignani et al. (2020) LIRGs, as well as Geach et al. (2011) and Cybulski et al. (2016) cluster galaxies. The field samples at the bottom and top part of both panels, as well as the cluster sample on top, contain galaxies from the literature at the corresponding redshifts. The black arrows correspond to the medians of each sample. The same value of α_CO has been used for all samples.