Prior distributions of selected parameters used for the generation of mock spectra and photometries for (a) redshift z using the PAUS redshift distribution (red); (b) logarithm of the stellar mass; (c) mass-weighted stellar age ⟨t_*⟩_m; (d) SFR over the last 100 Myrs; (e) stellar metallicity Z_*; (f-g) the ISM and BC optical depths, ${\widehat{\tau }}_{\lambda ,2}$, ${\widehat{\tau }}_{\lambda ,1}$; (h) mass-metallicity relation adopted from Gallazzi et al. (2005), and (i) random sample of ten of the non-parametric SFHs.