Effect of the transition from the universal to environment-dependent IMF on the formation of the NS progenitors. The thick grey curves show the SFR–metallicity (ZO/H) relation as used in the high-Z extreme (top) and low-Z extreme (bottom) fSFR(Z, z) from ChN19 at different redshifts. The top metallicity axis ([Fe/H]) was obtained from ZO/H using the conversion described in Sect. 2. The coloured curves show the same relation after correcting the SFR for the non-universal IMF (see Fig. 2). The colour denotes the ratio of the number of stars forming in the NS progenitor mass range in the non-universal case to that in the universal IMF case. The near-horizontal grey lines are the lines of constant value of that ratio. The red dashed lines are the lines of the constant correction factor. The SFR below the thick red solid line is increased and above that line is decreased with respect to the universal IMF case. The vertical orange dashed lines show solar and 10% solar metallicity.
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