**Table 1:** Parameters used for the library of template SEDs.
Method	Smooth SFHs	Complex SFHs
IMF	Chabrier	Chabrier
SFR $\tau$ (Gyr)	[0.1, $\infty]^{a}$	[1, $\infty$ ]
$\log$ ( Age)^b (yr)	[8,10.2]	[8,10]
burst age (yr)	-	[0,10¹⁰]
burst fraction	-	[0,0.9]
Metallicities	$Z_{\odot}$	[0.1 $Z_{\odot}$ , 2 $Z_{\odot}$ ]
Extinction	Calzetti law	Charlot & Fall model
		(n=0.7, $\mu \in$ [0.1,1])
Dust content	$A_V^{{\rm c}}$ $\in$ [0, 2.4]	$\tau_V\in[0,6]$

^a $\tau<1$ if star formation starts at z<1, ^b At each redshift, galaxies are forced to have ages smaller than the Hubble time at that redshift, ^c $A_{\rm V}\leq0.6$ if Age/ $\tau\geq4$ .

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