Euclid preparation - LXXIII. Spatially resolved stellar populations of local galaxies with Euclid: A proof of concept using synthetic images with the TNG50 simulation

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Table 3.

Parameters and assumed priors in the SED modelling and fitting processes.

Free parameter	Description	Prior	Sampling/Scale
Z_*	Stellar metallicity	Uniform: ${log}_{10} (Z_{, \min} / Z_{⊙}) = - 1.0$ $\log_{10}(Z_{,\rm{min}}/Z_{\odot}) = -1.0$ , ${log}_{10} (Z_{, \max} / Z_{⊙}) = 0.2$ $\log_{10}(Z_{,\rm{max}}/Z_{\odot}) = 0.2$	Logarithmic
t	Time since the onset of star formation^a	Uniform: log₁₀(t_min) = log₁₀(t_z)−0.3, log₁₀(t_max) = log₁₀(t_z)^b	Logarithmic
τ	Parameter that controls the peak time in the double power-law SFH model^a	Uniform: log₁₀(τ_min) = 0.3, log₁₀(τ_max) = 0.9	Logarithmic
α	Falling slope of the SFH model^a	Uniform: log₁₀(α_min) = − 0.8, log₁₀(α_max) = 0.8	Logarithmic
β	Rising slope of the SFH model^a	uniform: log₁₀(β_min) = − 0.8, log₁₀(β_max) = 0.8	Logarithmic
${\hat{τ}}_{2}$ $\hat{\tau}_{2}$	Dust optical depth in the Calzetti et al. (2000) dust attenuation law	Uniform: min = 0.0min = 0.1, max = 2.5	Linear

Dependent parameter	Description	Method	Sampling/Scale

M_∗	Stellar mass	Best-fit model normalization obtained from minimizing χ²	Logarithmic
SFR	Star formation rate	Recent instantaneous SFR determined from SFH at the present time	Logarithmic
Age	Representative age of a stellar population	Mass-averaging the look-back time in the SFH (Eq. (3))	Logarithmic

Notes.

The mathematical formula of the double power-law SFH can be seen in Abdurro’uf et al. (2021, Equation (7) therein).

t_z is the age of the Universe at the galaxy’s redshift. All the simulated galaxies in our sample are put at z = 0.03. t, t_z are in units of Gyr. ${\hat{τ}}_{2}$ $\hat{\tau}_{2}$ is in units of magnitude.

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