Ω_H2 evolution when cosmic-ray heating included in the reference implementation (black solid line, HM-HISSmed). The case of a constant homogeneous ζ = 10⁻¹⁷ s⁻¹ (turquoise dotted line, HM-HISSmed-cr) is displayed together with two cases in which Padovani et al. (2018)’s ζ is adopted either for all gas parcels (violet dot-dashed line, HM-HISSmed-crP18) or scaled by the local gas SFR (magenta dashed line, HM-HISSmed-crP18sfr).