Effect of ${\stackrel{\sim }{\beta }}_0$ on SFR and integrated stellar densities. (Left column) Experimentally reported ψ(z) (symbols) and ψ_GSL(z) according to Eq. (87) (family of gray lines) as well as (right column) reported ρ_*(z) (symbols) and ρ_GSL^*(z) according to Eq. (90) (family of gray lines) for h₇₀ = 1 and various ${\stackrel{\sim }{\beta }}_0$ (increasing from top to bottom). The families had been created using 1000 randomly chosen, but eligible (r₁, r₂), pairs for given ${\stackrel{\sim }{\beta }}_0$ (specified in the panels). The eligible pairs reside in the green regions of the corresponding panel in Fig. 6. We note that for ${\stackrel{\sim }{\beta }}_0=0.5$ and ${\stackrel{\sim }{\beta }}_0=0.7$ no green regions exist; not all constraints could be fulfilled. For those two values, the eligible pairs are from the blue regions.