Comparison of physical parameters obtained with delayed exponentially declining (DED) and double-power-law (DPL) SFH. In panels (a) and (b) we show the comparison of mass-weighted ages and metallicities estimated with the two SFHs. The points are colour-coded according to the parameter β of the DPL model, representing the rising slope of the SFH. We notice that the objects with extremely low β (represented with open circles) are the ones deviating more from the one-to-one relation. For this reason, we fitted those objects again with a more conservative prior on β (β > 10). The grey arrows show how the results converge to the correct relation with the new prior. In panel (c) we present the age-redshift relation with the same colour-coding as in the previous panels. In panel (d) the star-formation rate is shown as a function of the look-back time normalised to its peak for an object significantly deviating from the one-to-one relation in panel (a). The coloured curves represent how the resulting SFH obtained with the DPL model changes with different priors on β, colour-coded as presented in the legend; the grey dashed line shows the DED SFH, for comparison. We notice that above β > 6 the DPL model converges almost exactly to the DED model.