Resulting distributions when removing the scatters from our model, for Z_th = 8.3, 8.6, and 8.7 as well as no threshold at all (dark blue, blue, light blue, and red, respectively) and κ = 5 and 20 (left and right column, respectively), similar to Fig. 7 but with slightly different values of Z_th. The red line with no implemented threshold traces the SFR distribution. In the top row we compare the R_LGRB distributions for the different variations with the results of Ghirlanda & Salvaterra (2022). In the middle row, we show the cumulative distributions of our results for z ≤ 0.5 together with the cumulative distribution of the local LGRB host masses (as listed in Appendix A). The bottom row, in turn, shows the cumulative metallicity distributions for z ≤ 2.5 compared to the C17 results of Graham et al. (2023). The 95% confidence intervals in the last two rows (bootstrapped and scattered as described in Sect. 3) are shown through the light grey areas.