Top: Simulated sSFR and M_star at different z (coloured symbols), z ≃ 5 observational fits by Speagle et al. (2014), Santini et al. (2017) and Popesso et al. (2023) (thin, regular and thick dotted lines) and z ∼ 0.5 MUSE-ALMA determinations (circles) with upper limits (arrows) by Bollo et al. (2026). Fits to simulation data at each z (thin dashed lines) are displayed together with the fit to the whole simulated sample (thick dashed magenta line), as per eq. 1 and Table F.1: Log₁₀(SFR/Gyr⁻¹) = 1.871 − 0.187 Log₁₀(M_star/M_⊙). Bottom: Simulated M_star and M_vir and fits from a low-z semi-analytical model (Croton et al. 2006, SAM, thick dotted line) and the stellar-to-halo mass relation (Moster et al. 2010, SHMR, thin dotted line).